Repository: TarletonGroup/CrystalPlasticity
Branch: master
Commit: 303ff9cbbaa2
Files: 180
Total size: 8.9 MB
Directory structure:
gitextract_jw1ye_9j/
├── ARC runner/
│ └── abq_arc.sh
├── Documentation/
│ ├── ElementTypes.xlsx
│ └── PROPS.xlsx
├── Dream3D2Abaqus/
│ ├── Step-1 Dream3D/
│ │ ├── testcase.csv
│ │ ├── testcase.dream3d
│ │ ├── testcase.inp
│ │ ├── testcase.vox
│ │ ├── testcase_.dream3d
│ │ ├── testcase_.xdmf
│ │ ├── testcase__.dream3d
│ │ ├── testcase__.xdmf
│ │ ├── testcase_elems.inp
│ │ ├── testcase_elset.inp
│ │ ├── testcase_gbels.txt
│ │ ├── testcase_nodes.inp
│ │ └── testcase_sects.inp
│ ├── Step-2a Matlab/
│ │ ├── Dream3D2Abaqus.m
│ │ ├── PROPS.xlsx
│ │ ├── testcase.inp
│ │ ├── testcase.vox
│ │ ├── testcase_elems.inp
│ │ ├── testcase_elset.inp
│ │ ├── testcase_nodes.inp
│ │ └── testcase_sects.inp
│ └── Step-2b Python/
│ ├── Dream3D2Abaqus.py
│ ├── PROPS.xlsx
│ ├── testcase.inp
│ ├── testcase.vox
│ ├── testcase_elems.inp
│ ├── testcase_elset.inp
│ ├── testcase_nodes.inp
│ └── testcase_sects.inp
├── Example - Polycrytal with PROPS/
│ ├── Job-1.inp
│ ├── OXFORD-UMAT.f
│ ├── backstress.f
│ ├── cpsolver.f
│ ├── creep.f
│ ├── crss.f
│ ├── errors.f
│ ├── globalvariables.f
│ ├── hardening.f
│ ├── initializations.f
│ ├── innerloop.f
│ ├── irradiation.f
│ ├── meshprop.f
│ ├── slip.f
│ ├── slipreverse.f
│ ├── straingradients.f
│ ├── userinputs.f
│ ├── usermaterials.f
│ ├── useroutputs.f
│ └── utilities.f
├── Example - Residual deformation/
│ ├── Job-1.inp
│ ├── OXFORD-UMAT.f
│ ├── UEXTERNALDB.f
│ ├── backstress.f
│ ├── cpsolver.f
│ ├── creep.f
│ ├── crss.f
│ ├── errors.f
│ ├── globalvariables.f
│ ├── hardening.f
│ ├── initializations.f
│ ├── innerloop.f
│ ├── irradiation.f
│ ├── meshprop.f
│ ├── slip.f
│ ├── slipreverse.f
│ ├── straingradients.f
│ ├── userinputs.f
│ ├── usermaterials.f
│ ├── useroutputs.f
│ └── utilities.f
├── Example - Single crystal with material vox file/
│ ├── Job-1.inp
│ ├── OXFORD-UMAT.f
│ ├── backstress.f
│ ├── cpsolver.f
│ ├── creep.f
│ ├── crss.f
│ ├── errors.f
│ ├── globalvariables.f
│ ├── hardening.f
│ ├── initializations.f
│ ├── innerloop.f
│ ├── irradiation.f
│ ├── meshprop.f
│ ├── slip.f
│ ├── slipreverse.f
│ ├── straingradients.f
│ ├── userinputs.f
│ ├── usermaterials.f
│ ├── useroutputs.f
│ └── utilities.f
├── Neper2Abaqus/
│ ├── Step-1 Neper/
│ │ ├── abq_hex.inp
│ │ ├── abq_hex.msh
│ │ ├── abq_hex.stelset
│ │ ├── abq_tet.inp
│ │ ├── abq_tet.msh
│ │ ├── abq_tet.stelset
│ │ ├── gene_mult_3.tess
│ │ └── script
│ ├── Step-2a Matlab/
│ │ ├── Neper2Abaqus.m
│ │ ├── PROPS.xlsx
│ │ ├── abq_hex.inp
│ │ ├── abq_hex.msh
│ │ ├── abq_tet.inp
│ │ └── abq_tet.msh
│ └── Step-2b Python/
│ ├── Neper2Abaqus.py
│ ├── PROPS.xlsx
│ ├── abq_hex.inp
│ ├── abq_hex.msh
│ ├── abq_tet.inp
│ └── abq_tet.msh
├── OXFORD-UMAT v3.3/
│ ├── OXFORD-UMAT.f
│ ├── UEXTERNALDB.f
│ ├── backstress.f
│ ├── cpsolver.f
│ ├── creep.f
│ ├── crss.f
│ ├── errors.f
│ ├── globalvariables.f
│ ├── hardening.f
│ ├── initializations.f
│ ├── innerloop.f
│ ├── irradiation.f
│ ├── meshprop.f
│ ├── miscellaneous.f
│ ├── slip.f
│ ├── slipreverse.f
│ ├── straingradients.f
│ ├── userinputs.f
│ ├── usermaterials.f
│ ├── useroutputs.f
│ ├── utilities.f
│ └── v3.3-updates.txt
├── README.md
└── old version/
├── NickelSuperalloy.f
├── README.md
├── SMAAspUserArrays.hdr
├── SMAAspUserSubroutines.hdr
├── SMAAspUserUtilities.hdr
├── UEL.for
├── abaqus_v6.env
├── kCRSS.f
├── kHardening.f
├── kMaterialParam.f
├── kRhoTwinInit.f
├── kcurlET.f
├── kdirns.f
├── kgndl2ET.f
├── kmat.f
├── kshapes.f
├── kslip0.f
├── kslip5ET.f
├── kslip6ET.f
├── kslipCreepPowerLaw.f
├── kslipDoubleExponent.f
├── kslipPowerLaw.f
├── ksvd.f
├── ktwinneighbourhood.f
├── ktwinrot.f
├── mycommon.f
├── test.txt
├── uexternaldb.f
├── umat.for
├── utils.f
├── xDir0ET.f
├── xDir1.f
├── xDir2.f
├── xDir2c.f
├── xDir4.f
├── xDirAlphaUranium.f
├── xNorm0ET.f
├── xNorm1.f
├── xNorm2.f
├── xNorm2c.f
├── xNorm4.f
├── xNormAlphaUranium.f
├── xTwinDirAlphaUranium.f
└── xTwinNormAlphaUranium.f
================================================
FILE CONTENTS
================================================
================================================
FILE: ARC runner/abq_arc.sh
================================================
#!/bin/bash
#SBATCH --clusters=arc
#SBATCH --partition=devel
#SBATCH --nodes=2
#SBATCH --ntasks-per-node=48
#SBATCH --time=00:10:00
#SBATCH --job-name=AbaqusJob
#SBATCH --switch=1
module purge
module load Abaqus/2022
module load iimpi/2020a
. abaqus.sh
abaqus fetch job=Job-1.inp
abaqus input=Job-1.inp job=AbaqusJob user=OXFORD-UMAT.f cpus=${SLURM_NTASKS} interactive
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase.csv
================================================
49
Feature_ID,AvgMisorientations,AvgQuats_0,AvgQuats_1,AvgQuats_2,AvgQuats_3,Centroids_0,Centroids_1,Centroids_2,EulerAngles_0,EulerAngles_1,EulerAngles_2,NumNeighbors,Phases,Sphericity,SurfaceAreaVolumeRatio,SurfaceFeatures,Volumes,surface
1,45.822422,0.52541733,0.70275456,0.022556955,0.47912818,6.4548388,3.3516128,2.6290324,4.0233464,2.1410608,2.1657498,7,1,0.029487295,164,1,155,0.58064514
2,44.52689,0.49648196,0.23105259,-0.83650637,0.019427212,13.341122,9.4158878,3.6028037,5.1247387,1.1590168,4.2535992,7,1,0.029487295,164,1,107,0.74766356
3,36.691441,-0.82023346,0.11776148,0.55376559,0.081810348,2.9147582,7.3142495,8.7315521,4.7164664,1.9533615,5.0016589,14,1,0.014566014,332,1,393,0.4351145
4,41.628105,0.69416827,0.13589515,0.47867107,0.52013171,18.644444,9.2222223,9.4444447,2.5910029,1.5714705,2.2043591,8,1,0.042051449,115,1,90,0.67777777
5,35.862907,0.89236051,-0.15543763,-0.29212102,0.30691534,3.4288538,2.4249012,13.79249,3.7298422,2.2665141,4.0747557,8,1,0.023589836,205,1,253,0.41106719
6,34.572174,-0.7859748,0.27707422,-0.17596462,0.52393699,18.23913,2.7173913,12.594203,6.2682791,1.9703996,0.66293544,8,1,0.034542263,140,1,138,0.5
7,36.620647,0.89424378,-0.34919545,-0.13173331,0.24705678,16.242516,5.7455091,2.0089819,3.259171,2.574039,4.0037379,8,1,0.027168071,178,1,167,0.49101797
8,35.730984,0.15103586,-0.33014882,0.17242487,0.91567439,18.722221,13.777778,10,1.8137274,0.74309242,4.0972095,6,1,0.056231588,86,1,54,0.74074072
9,29.94245,0.85070276,0.37438717,0.30773917,0.20355737,16.625,18.7125,18.0375,2.5697699,2.3857911,1.7406026,3,1,0.067165509,72,1,80,0.5
10,37.665596,-0.053450838,0.31728378,0.25844103,0.91086894,6.6868134,8.0494509,18.785715,4.6028214,0.655164,1.1274352,8,1,0.038687333,125,1,91,0.63736266
11,39.573406,0.056368068,0.55694902,0.45785722,0.69064981,10.438272,5.4506173,3.9814816,0.88194579,2.5552771,5.5611863,8,1,0.03267511,148,0,81,0.74074072
12,31.190109,-0.2628274,0.23206477,-0.88307256,0.31185022,5.4222221,1.7777778,18.566668,0.50800705,0.71645975,1.9546427,6,1,0.05144592,94,1,90,0.54444444
13,38.88102,0.057950947,-0.46292588,-0.70092988,0.53947991,16.711111,17.533333,1.7888889,2.6101615,0.97074771,5.5026817,5,1,0.049346086,98,1,90,0.56666666
14,40.543404,-0.25407624,-0.38014114,-0.038521901,0.88851225,8.7637072,2.5887728,9.100522,1.0249413,0.94976288,5.3449006,14,1,0.014478792,334,1,383,0.43342036
15,44.331444,0.62040162,-0.15389188,0.7264275,0.25243255,2.0737705,2.2049181,2.9590163,1.6620966,1.3869237,2.1483855,4,1,0.056893136,85,1,122,0.43442622
16,37.76543,-0.86422801,-0.23697557,-0.3221153,0.30527747,7.7645502,11.494709,16.002645,1.0798564,2.2219379,0.54460263,12,1,0.018743863,258,1,189,0.62433863
17,35.827312,0.79502177,-0.37279901,-0.20446427,0.43261489,7.6946902,8.2522125,2.4911504,3.1446276,2.1437037,4.021574,12,1,0.03429728,141,1,113,0.68141592
18,45.280956,0.74826252,0.4239364,0.28946155,0.42022985,2.8012552,14.290795,17.495815,3.0538805,2.0705824,2.0229423,8,1,0.025999552,186,1,239,0.40585774
19,37.751972,-0.47538742,0.68559539,-0.024773246,0.5507741,16.117924,16.419811,13.698113,5.363616,1.9736753,1.0094665,8,1,0.021981439,220,1,212,0.5990566
20,34.820744,-0.4831382,-0.31830388,-0.79844522,0.16656932,15.005555,10.633333,14.644444,1.9476836,1.2339416,0.78257447,11,1,0.020149652,240,1,180,0.6722222
21,35.829823,0.17210114,-0.63972765,-0.10984504,0.74098843,7.7269502,16.968084,2.8049645,1.9807663,1.4482301,4.5967579,9,1,0.02861489,169,1,141,0.65248227
22,40.12344,0.3478899,-0.22113793,0.73760307,0.53480124,2.7205882,18.382353,1.8676471,1.6319145,0.8497895,2.7643638,3,1,0.083377868,58,1,68,0.55882353
23,38.449181,0.678868,0.41036162,-0.35044324,0.49792683,2.5057805,14.580925,11.16474,4.298574,1.8322829,3.2111609,10,1,0.023475323,206,1,173,0.56069362
24,40.8419,-0.85309899,0.48020732,-0.026017822,0.20235127,17.545454,6.568182,17.416666,5.8983698,2.7306736,0.64056724,9,1,0.036088929,134,1,132,0.55303031
25,41.078621,-0.30200189,-0.060236339,-0.34808323,0.88544029,12.151613,3.4290323,17.112904,0.57143348,0.62607634,0.17768703,10,1,0.023249598,208,1,155,0.60645163
26,35.934315,-0.6656267,-0.68806511,-0.023085797,0.28805307,12.945104,9.1439171,8.9243326,4.0261078,1.188275,1.0862455,19,1,0.011911124,406,0,337,0.58456975
27,38.128658,0.76693779,0.23525535,0.58542585,0.11720896,15.275343,17.212328,7.757534,2.0660298,1.8619705,1.4707607,12,1,0.016282547,297,1,365,0.4219178
28,48.590225,0.64307296,-0.70936924,-0.043732509,0.28520158,3.768116,18.47826,14.014493,2.459368,2.5561998,4.1281252,6,1,0.03267511,148,1,138,0.50724638
29,41.23061,0.56276357,0.56797272,0.31883875,0.50896561,9.9192305,16.188461,13.907692,3.3719602,1.8531238,1.7919501,12,1,0.017209668,281,1,260,0.56923079
30,43.74448,0.15489225,0.74211794,-0.18547019,0.6251961,12.015385,1.9076923,2.3692307,4.7950153,1.7208197,2.0649478,6,1,0.037199359,130,1,130,0.5
31,40.856899,-0.88177317,-0.25925329,0.34933269,0.1822924,16.176924,13.192307,18.080769,5.4793034,2.3315566,4.907392,10,1,0.023249598,208,1,260,0.44999999
32,27.207769,0.35347676,0.034782104,0.34321001,0.86951208,18.944445,18.333334,3.5833333,2.8637342,0.72622162,2.6675658,3,1,0.092998393,52,1,36,0.66666669
33,42.513252,-0.18577984,-0.12537369,0.59323984,0.77319711,17.10515,2.5,5.5300431,6.2223792,0.45209339,5.0350847,9,1,0.025318936,191,1,233,0.39914164
34,41.71624,0.038356155,0.39115119,0.85591841,0.33605528,2.4360001,8.7880001,14.676,3.4179783,0.80784297,0.47188008,8,1,0.030999465,156,1,125,0.62400001
35,32.934177,-0.29799253,-0.46459335,-0.072038613,0.83076108,19.119047,1.5952381,18.404762,1.0869845,1.1693969,5.3691959,3,1,0.17910802,27,1,21,0.61904764
36,37.398449,0.60246372,-0.39881226,0.14827383,0.67527854,2.1391752,6.0051546,18.335052,2.3407052,1.6148381,3.5101917,6,1,0.048359167,100,1,97,0.54639173
37,46.280613,0.52726114,0.22531809,-0.28960642,0.76639128,8.2313433,17.932837,18.291044,3.9067369,1.2212677,3.0990403,6,1,0.037780598,128,1,134,0.46268657
38,40.761036,-0.89855754,0.36565551,0.075164326,0.2307394,7.7986112,17.597221,7.7430553,5.5818,2.6513515,0.071557581,7,1,0.030224478,160,1,144,0.625
39,44.466408,0.74719703,-0.30392659,0.55964738,0.19005264,7.7644629,12.202479,2.7644627,1.5118538,1.876904,2.284487,8,1,0.030999465,156,1,121,0.71900827
40,30.027571,0.56875807,-0.40980384,0.58275539,0.41106111,2.472826,13.586957,3.0380435,1.5607525,1.5536454,2.8094885,8,1,0.030802015,157,1,184,0.48369566
41,39.677307,0.3947534,-0.31329572,-0.21075456,0.83761448,15.335681,5.1150236,11.730047,2.7172322,1.0563751,4.0589452,10,1,0.015855463,305,1,213,0.61032861
42,33.861698,0.091000244,0.75049365,-0.24920543,0.6052891,2.5,17.743055,7.1875,4.9822869,1.7143322,2.0820239,7,1,0.035042875,138,1,144,0.5138889
43,41.349972,0.32088917,-0.39215013,-0.84191805,0.18553306,9.3296947,5.9235806,15.482533,3.6104794,1.0627207,5.3804936,14,1,0.015352116,315,1,229,0.60262007
44,43.352432,-0.37971544,-0.6911146,-0.61489105,0.009262586,13.691257,13.669399,2.0519125,2.6241286,1.8169202,0.4873389,11,1,0.023249598,208,1,183,0.54098362
45,42.264538,0.53743696,-0.50353956,0.67205739,0.077125371,2.4927008,7.9452553,2.4343066,0.93220991,1.6556793,2.4379032,6,1,0.043177824,112,1,137,0.56934309
46,42.803562,-0.24567957,-0.63457561,0.54242706,0.4926745,15.549505,2.0049505,18.054455,0.3679848,1.4968182,4.2483473,6,1,0.039316393,123,1,101,0.54455447
47,36.119606,-0.078786992,0.15583827,0.40581295,0.89711916,10.934783,18.956522,1.9565217,4.7556744,0.35104439,0.6778962,4,1,0.076760583,63,1,46,0.60869563
48,32.403946,-0.6656267,-0.68806511,-0.023085797,0.28805307,8.3538208,12.39701,8.7392025,0.17003241,2.3209622,4.2225304,15,1,0.013584035,356,0,301,0.58139533
49,39.026283,0.33117127,-0.32123977,0.86993986,0.17417009,18.29394,11.269697,3.8151515,0.99821663,0.95909494,2.5385697,10,1,0.029668199,163,1,165,0.5151515
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase.inp
================================================
*Heading
testcase
** Job name : testcase
** Generated by : ImportExport Version 6.5.163.1998a502a
*Preprint, echo = NO, model = NO, history = NO, contact = NO
**
** ----------------------------Geometry----------------------------
**
*Include, Input = testcase_nodes.inp
*Include, Input = testcase_elems.inp
*Include, Input = testcase_elset.inp
*Include, Input = testcase_sects.inp
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase.vox
================================================
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186.737 147.482 229.397 18 2 1 7 1
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89.425 89.017 160.972 1 15 1 40 1
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164.080 41.609 152.840 20 20 1 32 1
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356.516 25.903 288.489 17 1 2 33 1
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356.516 25.903 288.489 18 2 2 33 1
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95.231 79.465 123.093 1 3 2 15 1
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95.231 79.465 123.093 1 5 2 15 1
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230.521 122.674 124.088 5 5 2 1 1
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274.734 98.596 118.313 12 5 2 30 1
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186.737 147.482 229.397 14 5 2 7 1
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53.412 94.863 139.682 1 6 2 45 1
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230.521 122.674 124.088 5 6 2 1 1
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186.737 147.482 229.397 13 6 2 7 1
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53.412 94.863 139.682 1 7 2 45 1
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230.521 122.674 124.088 6 7 2 1 1
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186.737 147.482 229.397 13 7 2 7 1
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186.737 147.482 229.397 20 7 2 7 1
53.412 94.863 139.682 1 8 2 45 1
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53.412 94.863 139.682 1 9 2 45 1
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53.412 94.863 139.682 1 10 2 45 1
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53.412 94.863 139.682 1 11 2 45 1
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86.623 107.539 130.891 6 11 2 39 1
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89.425 89.017 160.972 1 12 2 40 1
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89.425 89.017 160.972 1 13 2 40 1
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150.351 104.102 27.922 11 13 2 44 1
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57.194 54.952 145.449 18 13 2 49 1
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89.425 89.017 160.972 1 14 2 40 1
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86.623 107.539 130.891 7 14 2 39 1
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150.351 104.102 27.922 11 14 2 44 1
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57.194 54.952 145.449 19 14 2 49 1
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89.425 89.017 160.972 1 15 2 40 1
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86.623 107.539 130.891 7 15 2 39 1
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150.351 104.102 27.922 11 15 2 44 1
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57.194 54.952 145.449 19 15 2 49 1
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89.425 89.017 160.972 1 16 2 40 1
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113.490 82.977 263.375 6 16 2 21 1
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150.351 104.102 27.922 12 16 2 44 1
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149.551 55.620 315.280 17 16 2 13 1
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89.425 89.017 160.972 1 17 2 40 1
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93.502 48.689 158.386 4 17 2 22 1
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113.490 82.977 263.375 6 17 2 21 1
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150.351 104.102 27.922 12 17 2 44 1
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149.551 55.620 315.280 16 17 2 13 1
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93.502 48.689 158.386 1 18 2 22 1
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113.490 82.977 263.375 6 18 2 21 1
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272.480 20.113 38.841 11 18 2 47 1
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150.351 104.102 27.922 13 18 2 44 1
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149.551 55.620 315.280 15 18 2 13 1
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164.080 41.609 152.840 20 18 2 32 1
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113.490 82.977 263.375 6 19 2 21 1
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149.551 55.620 315.280 14 19 2 13 1
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164.080 41.609 152.840 20 19 2 32 1
93.502 48.689 158.386 1 20 2 22 1
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113.490 82.977 263.375 7 20 2 21 1
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149.551 55.620 315.280 15 20 2 13 1
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164.080 41.609 152.840 19 20 2 32 1
164.080 41.609 152.840 20 20 2 32 1
95.231 79.465 123.093 1 1 3 15 1
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230.521 122.674 124.088 6 1 3 1 1
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356.516 25.903 288.489 16 1 3 33 1
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356.516 25.903 288.489 16 2 3 33 1
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356.516 25.903 288.489 16 3 3 33 1
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53.412 94.863 139.682 1 7 3 45 1
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53.412 94.863 139.682 1 8 3 45 1
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57.194 54.952 145.449 17 12 3 49 1
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356.516 25.903 288.489 15 1 9 33 1
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356.516 25.903 288.489 18 4 9 33 1
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230.679 68.083 62.237 10 9 9 26 1
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9.742 132.981 241.933 11 16 9 48 1
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118.375 106.683 84.268 13 16 9 27 1
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356.516 25.903 288.489 18 2 10 33 1
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155.686 60.526 232.560 14 4 10 41 1
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155.686 60.526 232.560 13 5 10 41 1
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155.686 60.526 232.560 14 6 10 41 1
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148.454 90.039 126.300 19 7 10 4 1
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230.679 68.083 62.237 10 9 10 26 1
230.679 68.083 62.237 11 9 10 26 1
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230.679 68.083 62.237 11 10 10 26 1
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246.290 104.982 183.986 3 13 10 23 1
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319.814 151.911 4.100 6 19 10 38 1
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213.704 129.862 233.466 2 1 11 5 1
213.704 129.862 233.466 3 1 11 5 1
213.704 129.862 233.466 4 1 11 5 1
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148.454 90.039 126.300 20 7 11 4 1
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230.679 68.083 62.237 9 8 11 26 1
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230.679 68.083 62.237 10 9 11 26 1
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230.679 68.083 62.237 11 10 11 26 1
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230.679 68.083 62.237 12 12 11 26 1
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246.290 104.982 183.986 1 13 11 23 1
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246.290 104.982 183.986 4 13 11 23 1
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230.679 68.083 62.237 13 13 11 26 1
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246.290 104.982 183.986 1 14 11 23 1
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246.290 104.982 183.986 4 14 11 23 1
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230.679 68.083 62.237 14 14 11 26 1
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246.290 104.982 183.986 1 15 11 23 1
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246.290 104.982 183.986 4 15 11 23 1
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118.375 106.683 84.268 14 15 11 27 1
118.375 106.683 84.268 15 15 11 27 1
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118.375 106.683 84.268 17 15 11 27 1
103.919 42.576 234.753 18 15 11 8 1
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246.290 104.982 183.986 1 16 11 23 1
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246.290 104.982 183.986 4 16 11 23 1
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118.375 106.683 84.268 13 16 11 27 1
118.375 106.683 84.268 14 16 11 27 1
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246.290 104.982 183.986 1 17 11 23 1
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246.290 104.982 183.986 4 17 11 23 1
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319.814 151.911 4.100 7 17 11 38 1
319.814 151.911 4.100 8 17 11 38 1
319.814 151.911 4.100 9 17 11 38 1
9.742 132.981 241.933 10 17 11 48 1
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193.199 106.176 102.671 12 17 11 29 1
118.375 106.683 84.268 13 17 11 27 1
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246.290 104.982 183.986 1 18 11 23 1
246.290 104.982 183.986 2 18 11 23 1
246.290 104.982 183.986 3 18 11 23 1
246.290 104.982 183.986 4 18 11 23 1
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319.814 151.911 4.100 7 18 11 38 1
319.814 151.911 4.100 8 18 11 38 1
319.814 151.911 4.100 9 18 11 38 1
319.814 151.911 4.100 10 18 11 38 1
193.199 106.176 102.671 11 18 11 29 1
118.375 106.683 84.268 12 18 11 27 1
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285.464 98.224 119.291 1 19 11 42 1
285.464 98.224 119.291 2 19 11 42 1
285.464 98.224 119.291 3 19 11 42 1
285.464 98.224 119.291 4 19 11 42 1
285.464 98.224 119.291 5 19 11 42 1
140.911 146.459 236.524 6 19 11 28 1
319.814 151.911 4.100 7 19 11 38 1
319.814 151.911 4.100 8 19 11 38 1
319.814 151.911 4.100 9 19 11 38 1
319.814 151.911 4.100 10 19 11 38 1
193.199 106.176 102.671 11 19 11 29 1
118.375 106.683 84.268 12 19 11 27 1
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118.375 106.683 84.268 19 19 11 27 1
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285.464 98.224 119.291 1 20 11 42 1
285.464 98.224 119.291 2 20 11 42 1
285.464 98.224 119.291 3 20 11 42 1
285.464 98.224 119.291 4 20 11 42 1
140.911 146.459 236.524 5 20 11 28 1
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319.814 151.911 4.100 8 20 11 38 1
319.814 151.911 4.100 9 20 11 38 1
319.814 151.911 4.100 10 20 11 38 1
118.375 106.683 84.268 11 20 11 27 1
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118.375 106.683 84.268 20 20 11 27 1
213.704 129.862 233.466 1 1 12 5 1
213.704 129.862 233.466 2 1 12 5 1
213.704 129.862 233.466 3 1 12 5 1
213.704 129.862 233.466 4 1 12 5 1
213.704 129.862 233.466 5 1 12 5 1
213.704 129.862 233.466 6 1 12 5 1
58.725 54.417 306.240 7 1 12 14 1
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359.146 112.896 37.983 16 1 12 6 1
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213.704 129.862 233.466 1 2 12 5 1
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213.704 129.862 233.466 3 2 12 5 1
213.704 129.862 233.466 4 2 12 5 1
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213.704 129.862 233.466 6 2 12 5 1
58.725 54.417 306.240 7 2 12 14 1
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58.725 54.417 306.240 13 2 12 14 1
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155.686 60.526 232.560 15 2 12 41 1
359.146 112.896 37.983 16 2 12 6 1
359.146 112.896 37.983 17 2 12 6 1
359.146 112.896 37.983 18 2 12 6 1
359.146 112.896 37.983 19 2 12 6 1
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213.704 129.862 233.466 1 3 12 5 1
213.704 129.862 233.466 2 3 12 5 1
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213.704 129.862 233.466 4 3 12 5 1
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213.704 129.862 233.466 6 3 12 5 1
58.725 54.417 306.240 7 3 12 14 1
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58.725 54.417 306.240 13 3 12 14 1
155.686 60.526 232.560 14 3 12 41 1
155.686 60.526 232.560 15 3 12 41 1
155.686 60.526 232.560 16 3 12 41 1
359.146 112.896 37.983 17 3 12 6 1
359.146 112.896 37.983 18 3 12 6 1
359.146 112.896 37.983 19 3 12 6 1
359.146 112.896 37.983 20 3 12 6 1
213.704 129.862 233.466 1 4 12 5 1
213.704 129.862 233.466 2 4 12 5 1
213.704 129.862 233.466 3 4 12 5 1
213.704 129.862 233.466 4 4 12 5 1
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213.704 129.862 233.466 6 4 12 5 1
58.725 54.417 306.240 7 4 12 14 1
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155.686 60.526 232.560 13 4 12 41 1
155.686 60.526 232.560 14 4 12 41 1
155.686 60.526 232.560 15 4 12 41 1
155.686 60.526 232.560 16 4 12 41 1
155.686 60.526 232.560 17 4 12 41 1
359.146 112.896 37.983 18 4 12 6 1
359.146 112.896 37.983 19 4 12 6 1
359.146 112.896 37.983 20 4 12 6 1
270.234 111.919 286.574 1 5 12 3 1
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213.704 129.862 233.466 4 5 12 5 1
213.704 129.862 233.466 5 5 12 5 1
213.704 129.862 233.466 6 5 12 5 1
58.725 54.417 306.240 7 5 12 14 1
58.725 54.417 306.240 8 5 12 14 1
58.725 54.417 306.240 9 5 12 14 1
58.725 54.417 306.240 10 5 12 14 1
58.725 54.417 306.240 11 5 12 14 1
58.725 54.417 306.240 12 5 12 14 1
155.686 60.526 232.560 13 5 12 41 1
155.686 60.526 232.560 14 5 12 41 1
155.686 60.526 232.560 15 5 12 41 1
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155.686 60.526 232.560 18 5 12 41 1
359.146 112.896 37.983 19 5 12 6 1
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270.234 111.919 286.574 1 6 12 3 1
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155.686 60.526 232.560 12 6 12 41 1
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155.686 60.526 232.560 18 6 12 41 1
359.146 112.896 37.983 19 6 12 6 1
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270.234 111.919 286.574 1 7 12 3 1
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58.725 54.417 306.240 8 7 12 14 1
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230.679 68.083 62.237 11 7 12 26 1
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155.686 60.526 232.560 13 7 12 41 1
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359.146 112.896 37.983 20 7 12 6 1
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230.679 68.083 62.237 9 8 12 26 1
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155.686 60.526 232.560 15 8 12 41 1
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148.454 90.039 126.300 20 8 12 4 1
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9.742 132.981 241.933 8 9 12 48 1
230.679 68.083 62.237 9 9 12 26 1
230.679 68.083 62.237 10 9 12 26 1
230.679 68.083 62.237 11 9 12 26 1
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155.686 60.526 232.560 17 9 12 41 1
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148.454 90.039 126.300 19 9 12 4 1
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270.234 111.919 286.574 1 10 12 3 1
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230.679 68.083 62.237 10 10 12 26 1
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148.454 90.039 126.300 18 10 12 4 1
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270.234 111.919 286.574 1 11 12 3 1
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9.742 132.981 241.933 8 11 12 48 1
9.742 132.981 241.933 9 11 12 48 1
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230.679 68.083 62.237 11 11 12 26 1
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148.454 90.039 126.300 18 11 12 4 1
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246.290 104.982 183.986 1 12 12 23 1
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246.290 104.982 183.986 4 12 12 23 1
270.234 111.919 286.574 5 12 12 3 1
9.742 132.981 241.933 6 12 12 48 1
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230.679 68.083 62.237 12 12 12 26 1
230.679 68.083 62.237 13 12 12 26 1
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148.454 90.039 126.300 18 12 12 4 1
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148.454 90.039 126.300 20 12 12 4 1
246.290 104.982 183.986 1 13 12 23 1
246.290 104.982 183.986 2 13 12 23 1
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246.290 104.982 183.986 4 13 12 23 1
246.290 104.982 183.986 5 13 12 23 1
9.742 132.981 241.933 6 13 12 48 1
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230.679 68.083 62.237 13 13 12 26 1
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230.679 68.083 62.237 15 13 12 26 1
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307.313 113.083 57.838 17 13 12 19 1
103.919 42.576 234.753 18 13 12 8 1
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246.290 104.982 183.986 1 14 12 23 1
246.290 104.982 183.986 2 14 12 23 1
246.290 104.982 183.986 3 14 12 23 1
246.290 104.982 183.986 4 14 12 23 1
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9.742 132.981 241.933 6 14 12 48 1
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307.313 113.083 57.838 14 14 12 19 1
307.313 113.083 57.838 15 14 12 19 1
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103.919 42.576 234.753 19 14 12 8 1
103.919 42.576 234.753 20 14 12 8 1
246.290 104.982 183.986 1 15 12 23 1
246.290 104.982 183.986 2 15 12 23 1
246.290 104.982 183.986 3 15 12 23 1
246.290 104.982 183.986 4 15 12 23 1
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193.199 106.176 102.671 7 15 12 29 1
193.199 106.176 102.671 8 15 12 29 1
193.199 106.176 102.671 9 15 12 29 1
193.199 106.176 102.671 10 15 12 29 1
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307.313 113.083 57.838 14 15 12 19 1
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103.919 42.576 234.753 19 15 12 8 1
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246.290 104.982 183.986 1 16 12 23 1
246.290 104.982 183.986 2 16 12 23 1
246.290 104.982 183.986 3 16 12 23 1
246.290 104.982 183.986 4 16 12 23 1
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193.199 106.176 102.671 7 16 12 29 1
193.199 106.176 102.671 8 16 12 29 1
193.199 106.176 102.671 9 16 12 29 1
193.199 106.176 102.671 10 16 12 29 1
193.199 106.176 102.671 11 16 12 29 1
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307.313 113.083 57.838 14 16 12 19 1
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103.919 42.576 234.753 19 16 12 8 1
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246.290 104.982 183.986 1 17 12 23 1
246.290 104.982 183.986 2 17 12 23 1
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246.290 104.982 183.986 4 17 12 23 1
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193.199 106.176 102.671 7 17 12 29 1
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193.199 106.176 102.671 9 17 12 29 1
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307.313 113.083 57.838 14 17 12 19 1
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103.919 42.576 234.753 20 17 12 8 1
246.290 104.982 183.986 1 18 12 23 1
246.290 104.982 183.986 2 18 12 23 1
246.290 104.982 183.986 3 18 12 23 1
246.290 104.982 183.986 4 18 12 23 1
140.911 146.459 236.524 5 18 12 28 1
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193.199 106.176 102.671 8 18 12 29 1
193.199 106.176 102.671 9 18 12 29 1
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307.313 113.083 57.838 18 18 12 19 1
118.375 106.683 84.268 19 18 12 27 1
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246.290 104.982 183.986 1 19 12 23 1
140.911 146.459 236.524 2 19 12 28 1
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193.199 106.176 102.671 8 19 12 29 1
193.199 106.176 102.671 9 19 12 29 1
193.199 106.176 102.671 10 19 12 29 1
193.199 106.176 102.671 11 19 12 29 1
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118.375 106.683 84.268 14 19 12 27 1
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118.375 106.683 84.268 17 19 12 27 1
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118.375 106.683 84.268 19 19 12 27 1
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140.911 146.459 236.524 1 20 12 28 1
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193.199 106.176 102.671 9 20 12 29 1
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118.375 106.683 84.268 13 20 12 27 1
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118.375 106.683 84.268 20 20 12 27 1
213.704 129.862 233.466 1 1 13 5 1
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213.704 129.862 233.466 3 1 13 5 1
213.704 129.862 233.466 4 1 13 5 1
213.704 129.862 233.466 5 1 13 5 1
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58.725 54.417 306.240 8 1 13 14 1
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155.686 60.526 232.560 15 1 13 41 1
359.146 112.896 37.983 16 1 13 6 1
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213.704 129.862 233.466 1 2 13 5 1
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58.725 54.417 306.240 8 2 13 14 1
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155.686 60.526 232.560 14 2 13 41 1
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359.146 112.896 37.983 16 2 13 6 1
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58.725 54.417 306.240 8 3 13 14 1
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155.686 60.526 232.560 14 3 13 41 1
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359.146 112.896 37.983 17 3 13 6 1
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58.725 54.417 306.240 8 4 13 14 1
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155.686 60.526 232.560 13 4 13 41 1
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359.146 112.896 37.983 18 4 13 6 1
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270.234 111.919 286.574 1 5 13 3 1
213.704 129.862 233.466 2 5 13 5 1
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58.725 54.417 306.240 8 5 13 14 1
206.865 60.889 308.280 9 5 13 43 1
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155.686 60.526 232.560 13 5 13 41 1
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359.146 112.896 37.983 18 5 13 6 1
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270.234 111.919 286.574 1 6 13 3 1
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155.686 60.526 232.560 13 6 13 41 1
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155.686 60.526 232.560 18 6 13 41 1
359.146 112.896 37.983 19 6 13 6 1
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270.234 111.919 286.574 1 7 13 3 1
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206.865 60.889 308.280 7 7 13 43 1
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230.679 68.083 62.237 12 7 13 26 1
155.686 60.526 232.560 13 7 13 41 1
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359.146 112.896 37.983 20 7 13 6 1
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230.679 68.083 62.237 11 8 13 26 1
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155.686 60.526 232.560 14 8 13 41 1
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155.686 60.526 232.560 18 8 13 41 1
155.686 60.526 232.560 19 8 13 41 1
148.454 90.039 126.300 20 8 13 4 1
195.836 46.286 27.037 1 9 13 34 1
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270.234 111.919 286.574 4 9 13 3 1
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61.871 127.308 31.203 7 9 13 16 1
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230.679 68.083 62.237 9 9 13 26 1
230.679 68.083 62.237 10 9 13 26 1
230.679 68.083 62.237 11 9 13 26 1
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155.686 60.526 232.560 16 9 13 41 1
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155.686 60.526 232.560 18 9 13 41 1
155.686 60.526 232.560 19 9 13 41 1
148.454 90.039 126.300 20 9 13 4 1
195.836 46.286 27.037 1 10 13 34 1
195.836 46.286 27.037 2 10 13 34 1
195.836 46.286 27.037 3 10 13 34 1
195.836 46.286 27.037 4 10 13 34 1
195.836 46.286 27.037 5 10 13 34 1
61.871 127.308 31.203 6 10 13 16 1
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195.836 46.286 27.037 1 11 13 34 1
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195.836 46.286 27.037 5 11 13 34 1
61.871 127.308 31.203 6 11 13 16 1
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193.199 106.176 102.671 9 13 13 29 1
193.199 106.176 102.671 10 13 13 29 1
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111.594 70.700 44.838 13 13 13 20 1
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246.290 104.982 183.986 1 14 13 23 1
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193.199 106.176 102.671 7 14 13 29 1
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103.919 42.576 234.753 19 14 13 8 1
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246.290 104.982 183.986 1 15 13 23 1
246.290 104.982 183.986 2 15 13 23 1
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193.199 106.176 102.671 7 15 13 29 1
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103.919 42.576 234.753 20 15 13 8 1
246.290 104.982 183.986 1 16 13 23 1
246.290 104.982 183.986 2 16 13 23 1
246.290 104.982 183.986 3 16 13 23 1
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193.199 106.176 102.671 7 16 13 29 1
193.199 106.176 102.671 8 16 13 29 1
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246.290 104.982 183.986 1 17 13 23 1
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140.911 146.459 236.524 5 17 13 28 1
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193.199 106.176 102.671 7 17 13 29 1
193.199 106.176 102.671 8 17 13 29 1
193.199 106.176 102.671 9 17 13 29 1
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246.290 104.982 183.986 1 18 13 23 1
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140.911 146.459 236.524 3 18 13 28 1
140.911 146.459 236.524 4 18 13 28 1
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193.199 106.176 102.671 8 18 13 29 1
193.199 106.176 102.671 9 18 13 29 1
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140.911 146.459 236.524 1 19 13 28 1
140.911 146.459 236.524 2 19 13 28 1
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193.199 106.176 102.671 8 19 13 29 1
193.199 106.176 102.671 9 19 13 29 1
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193.199 106.176 102.671 11 19 13 29 1
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140.911 146.459 236.524 1 20 13 28 1
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193.199 106.176 102.671 9 20 13 29 1
193.199 106.176 102.671 10 20 13 29 1
193.199 106.176 102.671 11 20 13 29 1
193.199 106.176 102.671 12 20 13 29 1
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118.375 106.683 84.268 14 20 13 27 1
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118.375 106.683 84.268 18 20 13 27 1
118.375 106.683 84.268 19 20 13 27 1
118.375 106.683 84.268 20 20 13 27 1
213.704 129.862 233.466 1 1 14 5 1
213.704 129.862 233.466 2 1 14 5 1
213.704 129.862 233.466 3 1 14 5 1
213.704 129.862 233.466 4 1 14 5 1
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58.725 54.417 306.240 9 1 14 14 1
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155.686 60.526 232.560 15 1 14 41 1
359.146 112.896 37.983 16 1 14 6 1
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213.704 129.862 233.466 1 2 14 5 1
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58.725 54.417 306.240 9 2 14 14 1
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155.686 60.526 232.560 14 2 14 41 1
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359.146 112.896 37.983 16 2 14 6 1
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213.704 129.862 233.466 1 3 14 5 1
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206.865 60.889 308.280 9 3 14 43 1
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206.865 60.889 308.280 11 3 14 43 1
58.725 54.417 306.240 12 3 14 14 1
32.741 35.872 10.181 13 3 14 25 1
155.686 60.526 232.560 14 3 14 41 1
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359.146 112.896 37.983 17 3 14 6 1
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213.704 129.862 233.466 1 4 14 5 1
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206.865 60.889 308.280 8 4 14 43 1
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155.686 60.526 232.560 13 4 14 41 1
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359.146 112.896 37.983 17 4 14 6 1
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213.704 129.862 233.466 1 5 14 5 1
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206.865 60.889 308.280 8 5 14 43 1
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155.686 60.526 232.560 13 5 14 41 1
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359.146 112.896 37.983 18 5 14 6 1
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359.146 112.896 37.983 20 5 14 6 1
270.234 111.919 286.574 1 6 14 3 1
213.704 129.862 233.466 2 6 14 5 1
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206.865 60.889 308.280 7 6 14 43 1
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155.686 60.526 232.560 13 6 14 41 1
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155.686 60.526 232.560 18 6 14 41 1
359.146 112.896 37.983 19 6 14 6 1
359.146 112.896 37.983 20 6 14 6 1
195.836 46.286 27.037 1 7 14 34 1
195.836 46.286 27.037 2 7 14 34 1
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195.836 46.286 27.037 4 7 14 34 1
270.234 111.919 286.574 5 7 14 3 1
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206.865 60.889 308.280 7 7 14 43 1
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155.686 60.526 232.560 13 7 14 41 1
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359.146 112.896 37.983 20 7 14 6 1
195.836 46.286 27.037 1 8 14 34 1
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206.865 60.889 308.280 7 8 14 43 1
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155.686 60.526 232.560 13 8 14 41 1
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359.146 112.896 37.983 20 8 14 6 1
195.836 46.286 27.037 1 9 14 34 1
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61.871 127.308 31.203 7 9 14 16 1
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206.865 60.889 308.280 9 9 14 43 1
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148.454 90.039 126.300 20 9 14 4 1
195.836 46.286 27.037 1 10 14 34 1
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195.836 46.286 27.037 3 10 14 34 1
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61.871 127.308 31.203 6 10 14 16 1
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111.594 70.700 44.838 12 10 14 20 1
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195.836 46.286 27.037 1 11 14 34 1
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61.871 127.308 31.203 6 11 14 16 1
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111.594 70.700 44.838 12 11 14 20 1
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195.836 46.286 27.037 1 12 14 34 1
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61.871 127.308 31.203 5 12 14 16 1
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111.594 70.700 44.838 12 12 14 20 1
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246.290 104.982 183.986 1 13 14 23 1
246.290 104.982 183.986 2 13 14 23 1
246.290 104.982 183.986 3 13 14 23 1
246.290 104.982 183.986 4 13 14 23 1
61.871 127.308 31.203 5 13 14 16 1
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61.871 127.308 31.203 8 13 14 16 1
193.199 106.176 102.671 9 13 14 29 1
193.199 106.176 102.671 10 13 14 29 1
193.199 106.176 102.671 11 13 14 29 1
193.199 106.176 102.671 12 13 14 29 1
111.594 70.700 44.838 13 13 14 20 1
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111.594 70.700 44.838 15 13 14 20 1
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111.594 70.700 44.838 20 13 14 20 1
246.290 104.982 183.986 1 14 14 23 1
246.290 104.982 183.986 2 14 14 23 1
246.290 104.982 183.986 3 14 14 23 1
246.290 104.982 183.986 4 14 14 23 1
246.290 104.982 183.986 5 14 14 23 1
61.871 127.308 31.203 6 14 14 16 1
193.199 106.176 102.671 7 14 14 29 1
193.199 106.176 102.671 8 14 14 29 1
193.199 106.176 102.671 9 14 14 29 1
193.199 106.176 102.671 10 14 14 29 1
193.199 106.176 102.671 11 14 14 29 1
193.199 106.176 102.671 12 14 14 29 1
193.199 106.176 102.671 13 14 14 29 1
307.313 113.083 57.838 14 14 14 19 1
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307.313 113.083 57.838 16 14 14 19 1
307.313 113.083 57.838 17 14 14 19 1
307.313 113.083 57.838 18 14 14 19 1
307.313 113.083 57.838 19 14 14 19 1
307.313 113.083 57.838 20 14 14 19 1
246.290 104.982 183.986 1 15 14 23 1
246.290 104.982 183.986 2 15 14 23 1
246.290 104.982 183.986 3 15 14 23 1
246.290 104.982 183.986 4 15 14 23 1
246.290 104.982 183.986 5 15 14 23 1
193.199 106.176 102.671 6 15 14 29 1
193.199 106.176 102.671 7 15 14 29 1
193.199 106.176 102.671 8 15 14 29 1
193.199 106.176 102.671 9 15 14 29 1
193.199 106.176 102.671 10 15 14 29 1
193.199 106.176 102.671 11 15 14 29 1
193.199 106.176 102.671 12 15 14 29 1
193.199 106.176 102.671 13 15 14 29 1
307.313 113.083 57.838 14 15 14 19 1
307.313 113.083 57.838 15 15 14 19 1
307.313 113.083 57.838 16 15 14 19 1
307.313 113.083 57.838 17 15 14 19 1
307.313 113.083 57.838 18 15 14 19 1
307.313 113.083 57.838 19 15 14 19 1
307.313 113.083 57.838 20 15 14 19 1
246.290 104.982 183.986 1 16 14 23 1
246.290 104.982 183.986 2 16 14 23 1
246.290 104.982 183.986 3 16 14 23 1
246.290 104.982 183.986 4 16 14 23 1
246.290 104.982 183.986 5 16 14 23 1
193.199 106.176 102.671 6 16 14 29 1
193.199 106.176 102.671 7 16 14 29 1
193.199 106.176 102.671 8 16 14 29 1
193.199 106.176 102.671 9 16 14 29 1
193.199 106.176 102.671 10 16 14 29 1
193.199 106.176 102.671 11 16 14 29 1
193.199 106.176 102.671 12 16 14 29 1
193.199 106.176 102.671 13 16 14 29 1
307.313 113.083 57.838 14 16 14 19 1
307.313 113.083 57.838 15 16 14 19 1
307.313 113.083 57.838 16 16 14 19 1
307.313 113.083 57.838 17 16 14 19 1
307.313 113.083 57.838 18 16 14 19 1
307.313 113.083 57.838 19 16 14 19 1
307.313 113.083 57.838 20 16 14 19 1
246.290 104.982 183.986 1 17 14 23 1
246.290 104.982 183.986 2 17 14 23 1
246.290 104.982 183.986 3 17 14 23 1
140.911 146.459 236.524 4 17 14 28 1
140.911 146.459 236.524 5 17 14 28 1
140.911 146.459 236.524 6 17 14 28 1
193.199 106.176 102.671 7 17 14 29 1
193.199 106.176 102.671 8 17 14 29 1
193.199 106.176 102.671 9 17 14 29 1
193.199 106.176 102.671 10 17 14 29 1
193.199 106.176 102.671 11 17 14 29 1
193.199 106.176 102.671 12 17 14 29 1
193.199 106.176 102.671 13 17 14 29 1
307.313 113.083 57.838 14 17 14 19 1
307.313 113.083 57.838 15 17 14 19 1
307.313 113.083 57.838 16 17 14 19 1
307.313 113.083 57.838 17 17 14 19 1
307.313 113.083 57.838 18 17 14 19 1
307.313 113.083 57.838 19 17 14 19 1
307.313 113.083 57.838 20 17 14 19 1
140.911 146.459 236.524 1 18 14 28 1
140.911 146.459 236.524 2 18 14 28 1
140.911 146.459 236.524 3 18 14 28 1
140.911 146.459 236.524 4 18 14 28 1
140.911 146.459 236.524 5 18 14 28 1
140.911 146.459 236.524 6 18 14 28 1
140.911 146.459 236.524 7 18 14 28 1
193.199 106.176 102.671 8 18 14 29 1
193.199 106.176 102.671 9 18 14 29 1
193.199 106.176 102.671 10 18 14 29 1
193.199 106.176 102.671 11 18 14 29 1
193.199 106.176 102.671 12 18 14 29 1
193.199 106.176 102.671 13 18 14 29 1
307.313 113.083 57.838 14 18 14 19 1
307.313 113.083 57.838 15 18 14 19 1
307.313 113.083 57.838 16 18 14 19 1
307.313 113.083 57.838 17 18 14 19 1
307.313 113.083 57.838 18 18 14 19 1
307.313 113.083 57.838 19 18 14 19 1
307.313 113.083 57.838 20 18 14 19 1
140.911 146.459 236.524 1 19 14 28 1
140.911 146.459 236.524 2 19 14 28 1
140.911 146.459 236.524 3 19 14 28 1
140.911 146.459 236.524 4 19 14 28 1
140.911 146.459 236.524 5 19 14 28 1
140.911 146.459 236.524 6 19 14 28 1
140.911 146.459 236.524 7 19 14 28 1
193.199 106.176 102.671 8 19 14 29 1
193.199 106.176 102.671 9 19 14 29 1
193.199 106.176 102.671 10 19 14 29 1
193.199 106.176 102.671 11 19 14 29 1
193.199 106.176 102.671 12 19 14 29 1
193.199 106.176 102.671 13 19 14 29 1
307.313 113.083 57.838 14 19 14 19 1
307.313 113.083 57.838 15 19 14 19 1
307.313 113.083 57.838 16 19 14 19 1
307.313 113.083 57.838 17 19 14 19 1
307.313 113.083 57.838 18 19 14 19 1
307.313 113.083 57.838 19 19 14 19 1
307.313 113.083 57.838 20 19 14 19 1
140.911 146.459 236.524 1 20 14 28 1
140.911 146.459 236.524 2 20 14 28 1
140.911 146.459 236.524 3 20 14 28 1
140.911 146.459 236.524 4 20 14 28 1
140.911 146.459 236.524 5 20 14 28 1
140.911 146.459 236.524 6 20 14 28 1
140.911 146.459 236.524 7 20 14 28 1
140.911 146.459 236.524 8 20 14 28 1
193.199 106.176 102.671 9 20 14 29 1
193.199 106.176 102.671 10 20 14 29 1
193.199 106.176 102.671 11 20 14 29 1
193.199 106.176 102.671 12 20 14 29 1
193.199 106.176 102.671 13 20 14 29 1
307.313 113.083 57.838 14 20 14 19 1
307.313 113.083 57.838 15 20 14 19 1
307.313 113.083 57.838 16 20 14 19 1
307.313 113.083 57.838 17 20 14 19 1
307.313 113.083 57.838 18 20 14 19 1
307.313 113.083 57.838 19 20 14 19 1
307.313 113.083 57.838 20 20 14 19 1
213.704 129.862 233.466 1 1 15 5 1
213.704 129.862 233.466 2 1 15 5 1
213.704 129.862 233.466 3 1 15 5 1
213.704 129.862 233.466 4 1 15 5 1
213.704 129.862 233.466 5 1 15 5 1
213.704 129.862 233.466 6 1 15 5 1
213.704 129.862 233.466 7 1 15 5 1
213.704 129.862 233.466 8 1 15 5 1
213.704 129.862 233.466 9 1 15 5 1
58.725 54.417 306.240 10 1 15 14 1
58.725 54.417 306.240 11 1 15 14 1
32.741 35.872 10.181 12 1 15 25 1
32.741 35.872 10.181 13 1 15 25 1
32.741 35.872 10.181 14 1 15 25 1
21.084 85.761 243.412 15 1 15 46 1
21.084 85.761 243.412 16 1 15 46 1
359.146 112.896 37.983 17 1 15 6 1
359.146 112.896 37.983 18 1 15 6 1
359.146 112.896 37.983 19 1 15 6 1
359.146 112.896 37.983 20 1 15 6 1
213.704 129.862 233.466 1 2 15 5 1
213.704 129.862 233.466 2 2 15 5 1
213.704 129.862 233.466 3 2 15 5 1
213.704 129.862 233.466 4 2 15 5 1
213.704 129.862 233.466 5 2 15 5 1
213.704 129.862 233.466 6 2 15 5 1
213.704 129.862 233.466 7 2 15 5 1
213.704 129.862 233.466 8 2 15 5 1
213.704 129.862 233.466 9 2 15 5 1
206.865 60.889 308.280 10 2 15 43 1
206.865 60.889 308.280 11 2 15 43 1
32.741 35.872 10.181 12 2 15 25 1
32.741 35.872 10.181 13 2 15 25 1
32.741 35.872 10.181 14 2 15 25 1
32.741 35.872 10.181 15 2 15 25 1
359.146 112.896 37.983 16 2 15 6 1
359.146 112.896 37.983 17 2 15 6 1
359.146 112.896 37.983 18 2 15 6 1
359.146 112.896 37.983 19 2 15 6 1
359.146 112.896 37.983 20 2 15 6 1
213.704 129.862 233.466 1 3 15 5 1
213.704 129.862 233.466 2 3 15 5 1
213.704 129.862 233.466 3 3 15 5 1
213.704 129.862 233.466 4 3 15 5 1
213.704 129.862 233.466 5 3 15 5 1
213.704 129.862 233.466 6 3 15 5 1
213.704 129.862 233.466 7 3 15 5 1
213.704 129.862 233.466 8 3 15 5 1
206.865 60.889 308.280 9 3 15 43 1
206.865 60.889 308.280 10 3 15 43 1
206.865 60.889 308.280 11 3 15 43 1
32.741 35.872 10.181 12 3 15 25 1
32.741 35.872 10.181 13 3 15 25 1
32.741 35.872 10.181 14 3 15 25 1
32.741 35.872 10.181 15 3 15 25 1
155.686 60.526 232.560 16 3 15 41 1
359.146 112.896 37.983 17 3 15 6 1
359.146 112.896 37.983 18 3 15 6 1
359.146 112.896 37.983 19 3 15 6 1
359.146 112.896 37.983 20 3 15 6 1
213.704 129.862 233.466 1 4 15 5 1
213.704 129.862 233.466 2 4 15 5 1
213.704 129.862 233.466 3 4 15 5 1
213.704 129.862 233.466 4 4 15 5 1
213.704 129.862 233.466 5 4 15 5 1
213.704 129.862 233.466 6 4 15 5 1
213.704 129.862 233.466 7 4 15 5 1
206.865 60.889 308.280 8 4 15 43 1
206.865 60.889 308.280 9 4 15 43 1
206.865 60.889 308.280 10 4 15 43 1
206.865 60.889 308.280 11 4 15 43 1
206.865 60.889 308.280 12 4 15 43 1
32.741 35.872 10.181 13 4 15 25 1
32.741 35.872 10.181 14 4 15 25 1
155.686 60.526 232.560 15 4 15 41 1
155.686 60.526 232.560 16 4 15 41 1
359.146 112.896 37.983 17 4 15 6 1
359.146 112.896 37.983 18 4 15 6 1
359.146 112.896 37.983 19 4 15 6 1
359.146 112.896 37.983 20 4 15 6 1
213.704 129.862 233.466 1 5 15 5 1
213.704 129.862 233.466 2 5 15 5 1
213.704 129.862 233.466 3 5 15 5 1
213.704 129.862 233.466 4 5 15 5 1
213.704 129.862 233.466 5 5 15 5 1
213.704 129.862 233.466 6 5 15 5 1
206.865 60.889 308.280 7 5 15 43 1
206.865 60.889 308.280 8 5 15 43 1
206.865 60.889 308.280 9 5 15 43 1
206.865 60.889 308.280 10 5 15 43 1
206.865 60.889 308.280 11 5 15 43 1
206.865 60.889 308.280 12 5 15 43 1
206.865 60.889 308.280 13 5 15 43 1
155.686 60.526 232.560 14 5 15 41 1
155.686 60.526 232.560 15 5 15 41 1
155.686 60.526 232.560 16 5 15 41 1
155.686 60.526 232.560 17 5 15 41 1
359.146 112.896 37.983 18 5 15 6 1
359.146 112.896 37.983 19 5 15 6 1
359.146 112.896 37.983 20 5 15 6 1
195.836 46.286 27.037 1 6 15 34 1
213.704 129.862 233.466 2 6 15 5 1
213.704 129.862 233.466 3 6 15 5 1
213.704 129.862 233.466 4 6 15 5 1
213.704 129.862 233.466 5 6 15 5 1
213.704 129.862 233.466 6 6 15 5 1
206.865 60.889 308.280 7 6 15 43 1
206.865 60.889 308.280 8 6 15 43 1
206.865 60.889 308.280 9 6 15 43 1
206.865 60.889 308.280 10 6 15 43 1
206.865 60.889 308.280 11 6 15 43 1
206.865 60.889 308.280 12 6 15 43 1
206.865 60.889 308.280 13 6 15 43 1
155.686 60.526 232.560 14 6 15 41 1
155.686 60.526 232.560 15 6 15 41 1
155.686 60.526 232.560 16 6 15 41 1
155.686 60.526 232.560 17 6 15 41 1
155.686 60.526 232.560 18 6 15 41 1
359.146 112.896 37.983 19 6 15 6 1
359.146 112.896 37.983 20 6 15 6 1
195.836 46.286 27.037 1 7 15 34 1
195.836 46.286 27.037 2 7 15 34 1
195.836 46.286 27.037 3 7 15 34 1
195.836 46.286 27.037 4 7 15 34 1
195.836 46.286 27.037 5 7 15 34 1
206.865 60.889 308.280 6 7 15 43 1
206.865 60.889 308.280 7 7 15 43 1
206.865 60.889 308.280 8 7 15 43 1
206.865 60.889 308.280 9 7 15 43 1
206.865 60.889 308.280 10 7 15 43 1
206.865 60.889 308.280 11 7 15 43 1
206.865 60.889 308.280 12 7 15 43 1
206.865 60.889 308.280 13 7 15 43 1
155.686 60.526 232.560 14 7 15 41 1
155.686 60.526 232.560 15 7 15 41 1
155.686 60.526 232.560 16 7 15 41 1
155.686 60.526 232.560 17 7 15 41 1
155.686 60.526 232.560 18 7 15 41 1
155.686 60.526 232.560 19 7 15 41 1
359.146 112.896 37.983 20 7 15 6 1
195.836 46.286 27.037 1 8 15 34 1
195.836 46.286 27.037 2 8 15 34 1
195.836 46.286 27.037 3 8 15 34 1
195.836 46.286 27.037 4 8 15 34 1
195.836 46.286 27.037 5 8 15 34 1
195.836 46.286 27.037 6 8 15 34 1
206.865 60.889 308.280 7 8 15 43 1
206.865 60.889 308.280 8 8 15 43 1
206.865 60.889 308.280 9 8 15 43 1
206.865 60.889 308.280 10 8 15 43 1
206.865 60.889 308.280 11 8 15 43 1
206.865 60.889 308.280 12 8 15 43 1
206.865 60.889 308.280 13 8 15 43 1
155.686 60.526 232.560 14 8 15 41 1
155.686 60.526 232.560 15 8 15 41 1
155.686 60.526 232.560 16 8 15 41 1
155.686 60.526 232.560 17 8 15 41 1
155.686 60.526 232.560 18 8 15 41 1
337.952 156.456 36.702 19 8 15 24 1
337.952 156.456 36.702 20 8 15 24 1
195.836 46.286 27.037 1 9 15 34 1
195.836 46.286 27.037 2 9 15 34 1
195.836 46.286 27.037 3 9 15 34 1
195.836 46.286 27.037 4 9 15 34 1
195.836 46.286 27.037 5 9 15 34 1
195.836 46.286 27.037 6 9 15 34 1
61.871 127.308 31.203 7 9 15 16 1
61.871 127.308 31.203 8 9 15 16 1
206.865 60.889 308.280 9 9 15 43 1
206.865 60.889 308.280 10 9 15 43 1
206.865 60.889 308.280 11 9 15 43 1
206.865 60.889 308.280 12 9 15 43 1
111.594 70.700 44.838 13 9 15 20 1
111.594 70.700 44.838 14 9 15 20 1
111.594 70.700 44.838 15 9 15 20 1
111.594 70.700 44.838 16 9 15 20 1
111.594 70.700 44.838 17 9 15 20 1
111.594 70.700 44.838 18 9 15 20 1
111.594 70.700 44.838 19 9 15 20 1
337.952 156.456 36.702 20 9 15 24 1
195.836 46.286 27.037 1 10 15 34 1
195.836 46.286 27.037 2 10 15 34 1
195.836 46.286 27.037 3 10 15 34 1
195.836 46.286 27.037 4 10 15 34 1
195.836 46.286 27.037 5 10 15 34 1
61.871 127.308 31.203 6 10 15 16 1
61.871 127.308 31.203 7 10 15 16 1
61.871 127.308 31.203 8 10 15 16 1
61.871 127.308 31.203 9 10 15 16 1
61.871 127.308 31.203 10 10 15 16 1
206.865 60.889 308.280 11 10 15 43 1
111.594 70.700 44.838 12 10 15 20 1
111.594 70.700 44.838 13 10 15 20 1
111.594 70.700 44.838 14 10 15 20 1
111.594 70.700 44.838 15 10 15 20 1
111.594 70.700 44.838 16 10 15 20 1
111.594 70.700 44.838 17 10 15 20 1
111.594 70.700 44.838 18 10 15 20 1
111.594 70.700 44.838 19 10 15 20 1
111.594 70.700 44.838 20 10 15 20 1
195.836 46.286 27.037 1 11 15 34 1
195.836 46.286 27.037 2 11 15 34 1
195.836 46.286 27.037 3 11 15 34 1
195.836 46.286 27.037 4 11 15 34 1
195.836 46.286 27.037 5 11 15 34 1
61.871 127.308 31.203 6 11 15 16 1
61.871 127.308 31.203 7 11 15 16 1
61.871 127.308 31.203 8 11 15 16 1
61.871 127.308 31.203 9 11 15 16 1
61.871 127.308 31.203 10 11 15 16 1
61.871 127.308 31.203 11 11 15 16 1
111.594 70.700 44.838 12 11 15 20 1
111.594 70.700 44.838 13 11 15 20 1
111.594 70.700 44.838 14 11 15 20 1
111.594 70.700 44.838 15 11 15 20 1
111.594 70.700 44.838 16 11 15 20 1
111.594 70.700 44.838 17 11 15 20 1
111.594 70.700 44.838 18 11 15 20 1
111.594 70.700 44.838 19 11 15 20 1
111.594 70.700 44.838 20 11 15 20 1
195.836 46.286 27.037 1 12 15 34 1
195.836 46.286 27.037 2 12 15 34 1
195.836 46.286 27.037 3 12 15 34 1
195.836 46.286 27.037 4 12 15 34 1
61.871 127.308 31.203 5 12 15 16 1
61.871 127.308 31.203 6 12 15 16 1
61.871 127.308 31.203 7 12 15 16 1
61.871 127.308 31.203 8 12 15 16 1
61.871 127.308 31.203 9 12 15 16 1
61.871 127.308 31.203 10 12 15 16 1
61.871 127.308 31.203 11 12 15 16 1
111.594 70.700 44.838 12 12 15 20 1
111.594 70.700 44.838 13 12 15 20 1
111.594 70.700 44.838 14 12 15 20 1
111.594 70.700 44.838 15 12 15 20 1
111.594 70.700 44.838 16 12 15 20 1
111.594 70.700 44.838 17 12 15 20 1
111.594 70.700 44.838 18 12 15 20 1
111.594 70.700 44.838 19 12 15 20 1
111.594 70.700 44.838 20 12 15 20 1
174.974 118.636 115.906 1 13 15 18 1
174.974 118.636 115.906 2 13 15 18 1
174.974 118.636 115.906 3 13 15 18 1
174.974 118.636 115.906 4 13 15 18 1
174.974 118.636 115.906 5 13 15 18 1
61.871 127.308 31.203 6 13 15 16 1
61.871 127.308 31.203 7 13 15 16 1
61.871 127.308 31.203 8 13 15 16 1
61.871 127.308 31.203 9 13 15 16 1
61.871 127.308 31.203 10 13 15 16 1
193.199 106.176 102.671 11 13 15 29 1
193.199 106.176 102.671 12 13 15 29 1
111.594 70.700 44.838 13 13 15 20 1
111.594 70.700 44.838 14 13 15 20 1
111.594 70.700 44.838 15 13 15 20 1
111.594 70.700 44.838 16 13 15 20 1
111.594 70.700 44.838 17 13 15 20 1
111.594 70.700 44.838 18 13 15 20 1
111.594 70.700 44.838 19 13 15 20 1
111.594 70.700 44.838 20 13 15 20 1
174.974 118.636 115.906 1 14 15 18 1
174.974 118.636 115.906 2 14 15 18 1
174.974 118.636 115.906 3 14 15 18 1
174.974 118.636 115.906 4 14 15 18 1
174.974 118.636 115.906 5 14 15 18 1
61.871 127.308 31.203 6 14 15 16 1
61.871 127.308 31.203 7 14 15 16 1
61.871 127.308 31.203 8 14 15 16 1
193.199 106.176 102.671 9 14 15 29 1
193.199 106.176 102.671 10 14 15 29 1
193.199 106.176 102.671 11 14 15 29 1
193.199 106.176 102.671 12 14 15 29 1
193.199 106.176 102.671 13 14 15 29 1
111.594 70.700 44.838 14 14 15 20 1
307.313 113.083 57.838 15 14 15 19 1
307.313 113.083 57.838 16 14 15 19 1
307.313 113.083 57.838 17 14 15 19 1
307.313 113.083 57.838 18 14 15 19 1
307.313 113.083 57.838 19 14 15 19 1
307.313 113.083 57.838 20 14 15 19 1
174.974 118.636 115.906 1 15 15 18 1
174.974 118.636 115.906 2 15 15 18 1
174.974 118.636 115.906 3 15 15 18 1
174.974 118.636 115.906 4 15 15 18 1
174.974 118.636 115.906 5 15 15 18 1
61.871 127.308 31.203 6 15 15 16 1
193.199 106.176 102.671 7 15 15 29 1
193.199 106.176 102.671 8 15 15 29 1
193.199 106.176 102.671 9 15 15 29 1
193.199 106.176 102.671 10 15 15 29 1
193.199 106.176 102.671 11 15 15 29 1
193.199 106.176 102.671 12 15 15 29 1
193.199 106.176 102.671 13 15 15 29 1
307.313 113.083 57.838 14 15 15 19 1
307.313 113.083 57.838 15 15 15 19 1
307.313 113.083 57.838 16 15 15 19 1
307.313 113.083 57.838 17 15 15 19 1
307.313 113.083 57.838 18 15 15 19 1
307.313 113.083 57.838 19 15 15 19 1
307.313 113.083 57.838 20 15 15 19 1
174.974 118.636 115.906 1 16 15 18 1
246.290 104.982 183.986 2 16 15 23 1
246.290 104.982 183.986 3 16 15 23 1
174.974 118.636 115.906 4 16 15 18 1
174.974 118.636 115.906 5 16 15 18 1
193.199 106.176 102.671 6 16 15 29 1
193.199 106.176 102.671 7 16 15 29 1
193.199 106.176 102.671 8 16 15 29 1
193.199 106.176 102.671 9 16 15 29 1
193.199 106.176 102.671 10 16 15 29 1
193.199 106.176 102.671 11 16 15 29 1
193.199 106.176 102.671 12 16 15 29 1
193.199 106.176 102.671 13 16 15 29 1
307.313 113.083 57.838 14 16 15 19 1
307.313 113.083 57.838 15 16 15 19 1
307.313 113.083 57.838 16 16 15 19 1
307.313 113.083 57.838 17 16 15 19 1
307.313 113.083 57.838 18 16 15 19 1
307.313 113.083 57.838 19 16 15 19 1
307.313 113.083 57.838 20 16 15 19 1
246.290 104.982 183.986 1 17 15 23 1
140.911 146.459 236.524 2 17 15 28 1
140.911 146.459 236.524 3 17 15 28 1
140.911 146.459 236.524 4 17 15 28 1
140.911 146.459 236.524 5 17 15 28 1
140.911 146.459 236.524 6 17 15 28 1
193.199 106.176 102.671 7 17 15 29 1
193.199 106.176 102.671 8 17 15 29 1
193.199 106.176 102.671 9 17 15 29 1
193.199 106.176 102.671 10 17 15 29 1
193.199 106.176 102.671 11 17 15 29 1
193.199 106.176 102.671 12 17 15 29 1
193.199 106.176 102.671 13 17 15 29 1
307.313 113.083 57.838 14 17 15 19 1
307.313 113.083 57.838 15 17 15 19 1
307.313 113.083 57.838 16 17 15 19 1
307.313 113.083 57.838 17 17 15 19 1
307.313 113.083 57.838 18 17 15 19 1
307.313 113.083 57.838 19 17 15 19 1
307.313 113.083 57.838 20 17 15 19 1
140.911 146.459 236.524 1 18 15 28 1
140.911 146.459 236.524 2 18 15 28 1
140.911 146.459 236.524 3 18 15 28 1
140.911 146.459 236.524 4 18 15 28 1
140.911 146.459 236.524 5 18 15 28 1
140.911 146.459 236.524 6 18 15 28 1
140.911 146.459 236.524 7 18 15 28 1
193.199 106.176 102.671 8 18 15 29 1
193.199 106.176 102.671 9 18 15 29 1
193.199 106.176 102.671 10 18 15 29 1
193.199 106.176 102.671 11 18 15 29 1
193.199 106.176 102.671 12 18 15 29 1
193.199 106.176 102.671 13 18 15 29 1
307.313 113.083 57.838 14 18 15 19 1
307.313 113.083 57.838 15 18 15 19 1
307.313 113.083 57.838 16 18 15 19 1
307.313 113.083 57.838 17 18 15 19 1
307.313 113.083 57.838 18 18 15 19 1
307.313 113.083 57.838 19 18 15 19 1
307.313 113.083 57.838 20 18 15 19 1
140.911 146.459 236.524 1 19 15 28 1
140.911 146.459 236.524 2 19 15 28 1
140.911 146.459 236.524 3 19 15 28 1
140.911 146.459 236.524 4 19 15 28 1
140.911 146.459 236.524 5 19 15 28 1
140.911 146.459 236.524 6 19 15 28 1
140.911 146.459 236.524 7 19 15 28 1
193.199 106.176 102.671 8 19 15 29 1
193.199 106.176 102.671 9 19 15 29 1
193.199 106.176 102.671 10 19 15 29 1
193.199 106.176 102.671 11 19 15 29 1
193.199 106.176 102.671 12 19 15 29 1
193.199 106.176 102.671 13 19 15 29 1
307.313 113.083 57.838 14 19 15 19 1
307.313 113.083 57.838 15 19 15 19 1
307.313 113.083 57.838 16 19 15 19 1
307.313 113.083 57.838 17 19 15 19 1
307.313 113.083 57.838 18 19 15 19 1
307.313 113.083 57.838 19 19 15 19 1
307.313 113.083 57.838 20 19 15 19 1
140.911 146.459 236.524 1 20 15 28 1
140.911 146.459 236.524 2 20 15 28 1
140.911 146.459 236.524 3 20 15 28 1
140.911 146.459 236.524 4 20 15 28 1
140.911 146.459 236.524 5 20 15 28 1
140.911 146.459 236.524 6 20 15 28 1
140.911 146.459 236.524 7 20 15 28 1
140.911 146.459 236.524 8 20 15 28 1
193.199 106.176 102.671 9 20 15 29 1
193.199 106.176 102.671 10 20 15 29 1
193.199 106.176 102.671 11 20 15 29 1
193.199 106.176 102.671 12 20 15 29 1
193.199 106.176 102.671 13 20 15 29 1
307.313 113.083 57.838 14 20 15 19 1
307.313 113.083 57.838 15 20 15 19 1
307.313 113.083 57.838 16 20 15 19 1
307.313 113.083 57.838 17 20 15 19 1
307.313 113.083 57.838 18 20 15 19 1
307.313 113.083 57.838 19 20 15 19 1
147.237 136.696 99.729 20 20 15 9 1
213.704 129.862 233.466 1 1 16 5 1
213.704 129.862 233.466 2 1 16 5 1
213.704 129.862 233.466 3 1 16 5 1
213.704 129.862 233.466 4 1 16 5 1
213.704 129.862 233.466 5 1 16 5 1
213.704 129.862 233.466 6 1 16 5 1
213.704 129.862 233.466 7 1 16 5 1
213.704 129.862 233.466 8 1 16 5 1
213.704 129.862 233.466 9 1 16 5 1
32.741 35.872 10.181 10 1 16 25 1
32.741 35.872 10.181 11 1 16 25 1
32.741 35.872 10.181 12 1 16 25 1
32.741 35.872 10.181 13 1 16 25 1
32.741 35.872 10.181 14 1 16 25 1
21.084 85.761 243.412 15 1 16 46 1
21.084 85.761 243.412 16 1 16 46 1
21.084 85.761 243.412 17 1 16 46 1
21.084 85.761 243.412 18 1 16 46 1
359.146 112.896 37.983 19 1 16 6 1
359.146 112.896 37.983 20 1 16 6 1
213.704 129.862 233.466 1 2 16 5 1
213.704 129.862 233.466 2 2 16 5 1
213.704 129.862 233.466 3 2 16 5 1
213.704 129.862 233.466 4 2 16 5 1
213.704 129.862 233.466 5 2 16 5 1
213.704 129.862 233.466 6 2 16 5 1
213.704 129.862 233.466 7 2 16 5 1
213.704 129.862 233.466 8 2 16 5 1
206.865 60.889 308.280 9 2 16 43 1
32.741 35.872 10.181 10 2 16 25 1
32.741 35.872 10.181 11 2 16 25 1
32.741 35.872 10.181 12 2 16 25 1
32.741 35.872 10.181 13 2 16 25 1
32.741 35.872 10.181 14 2 16 25 1
32.741 35.872 10.181 15 2 16 25 1
21.084 85.761 243.412 16 2 16 46 1
21.084 85.761 243.412 17 2 16 46 1
359.146 112.896 37.983 18 2 16 6 1
359.146 112.896 37.983 19 2 16 6 1
359.146 112.896 37.983 20 2 16 6 1
213.704 129.862 233.466 1 3 16 5 1
213.704 129.862 233.466 2 3 16 5 1
213.704 129.862 233.466 3 3 16 5 1
213.704 129.862 233.466 4 3 16 5 1
213.704 129.862 233.466 5 3 16 5 1
213.704 129.862 233.466 6 3 16 5 1
213.704 129.862 233.466 7 3 16 5 1
206.865 60.889 308.280 8 3 16 43 1
206.865 60.889 308.280 9 3 16 43 1
206.865 60.889 308.280 10 3 16 43 1
32.741 35.872 10.181 11 3 16 25 1
32.741 35.872 10.181 12 3 16 25 1
32.741 35.872 10.181 13 3 16 25 1
32.741 35.872 10.181 14 3 16 25 1
32.741 35.872 10.181 15 3 16 25 1
32.741 35.872 10.181 16 3 16 25 1
359.146 112.896 37.983 17 3 16 6 1
359.146 112.896 37.983 18 3 16 6 1
359.146 112.896 37.983 19 3 16 6 1
359.146 112.896 37.983 20 3 16 6 1
213.704 129.862 233.466 1 4 16 5 1
213.704 129.862 233.466 2 4 16 5 1
213.704 129.862 233.466 3 4 16 5 1
213.704 129.862 233.466 4 4 16 5 1
213.704 129.862 233.466 5 4 16 5 1
213.704 129.862 233.466 6 4 16 5 1
206.865 60.889 308.280 7 4 16 43 1
206.865 60.889 308.280 8 4 16 43 1
206.865 60.889 308.280 9 4 16 43 1
206.865 60.889 308.280 10 4 16 43 1
206.865 60.889 308.280 11 4 16 43 1
32.741 35.872 10.181 12 4 16 25 1
32.741 35.872 10.181 13 4 16 25 1
32.741 35.872 10.181 14 4 16 25 1
32.741 35.872 10.181 15 4 16 25 1
155.686 60.526 232.560 16 4 16 41 1
359.146 112.896 37.983 17 4 16 6 1
359.146 112.896 37.983 18 4 16 6 1
359.146 112.896 37.983 19 4 16 6 1
359.146 112.896 37.983 20 4 16 6 1
213.704 129.862 233.466 1 5 16 5 1
213.704 129.862 233.466 2 5 16 5 1
213.704 129.862 233.466 3 5 16 5 1
213.704 129.862 233.466 4 5 16 5 1
213.704 129.862 233.466 5 5 16 5 1
213.704 129.862 233.466 6 5 16 5 1
206.865 60.889 308.280 7 5 16 43 1
206.865 60.889 308.280 8 5 16 43 1
206.865 60.889 308.280 9 5 16 43 1
206.865 60.889 308.280 10 5 16 43 1
206.865 60.889 308.280 11 5 16 43 1
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32.741 35.872 10.181 13 5 16 25 1
32.741 35.872 10.181 14 5 16 25 1
32.741 35.872 10.181 15 5 16 25 1
155.686 60.526 232.560 16 5 16 41 1
337.952 156.456 36.702 17 5 16 24 1
337.952 156.456 36.702 18 5 16 24 1
337.952 156.456 36.702 19 5 16 24 1
337.952 156.456 36.702 20 5 16 24 1
195.836 46.286 27.037 1 6 16 34 1
213.704 129.862 233.466 2 6 16 5 1
213.704 129.862 233.466 3 6 16 5 1
213.704 129.862 233.466 4 6 16 5 1
213.704 129.862 233.466 5 6 16 5 1
213.704 129.862 233.466 6 6 16 5 1
206.865 60.889 308.280 7 6 16 43 1
206.865 60.889 308.280 8 6 16 43 1
206.865 60.889 308.280 9 6 16 43 1
206.865 60.889 308.280 10 6 16 43 1
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32.741 35.872 10.181 14 6 16 25 1
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337.952 156.456 36.702 16 6 16 24 1
337.952 156.456 36.702 17 6 16 24 1
337.952 156.456 36.702 18 6 16 24 1
337.952 156.456 36.702 19 6 16 24 1
337.952 156.456 36.702 20 6 16 24 1
195.836 46.286 27.037 1 7 16 34 1
195.836 46.286 27.037 2 7 16 34 1
195.836 46.286 27.037 3 7 16 34 1
195.836 46.286 27.037 4 7 16 34 1
195.836 46.286 27.037 5 7 16 34 1
206.865 60.889 308.280 6 7 16 43 1
206.865 60.889 308.280 7 7 16 43 1
206.865 60.889 308.280 8 7 16 43 1
206.865 60.889 308.280 9 7 16 43 1
206.865 60.889 308.280 10 7 16 43 1
206.865 60.889 308.280 11 7 16 43 1
206.865 60.889 308.280 12 7 16 43 1
206.865 60.889 308.280 13 7 16 43 1
32.741 35.872 10.181 14 7 16 25 1
155.686 60.526 232.560 15 7 16 41 1
337.952 156.456 36.702 16 7 16 24 1
337.952 156.456 36.702 17 7 16 24 1
337.952 156.456 36.702 18 7 16 24 1
337.952 156.456 36.702 19 7 16 24 1
337.952 156.456 36.702 20 7 16 24 1
195.836 46.286 27.037 1 8 16 34 1
195.836 46.286 27.037 2 8 16 34 1
195.836 46.286 27.037 3 8 16 34 1
195.836 46.286 27.037 4 8 16 34 1
195.836 46.286 27.037 5 8 16 34 1
195.836 46.286 27.037 6 8 16 34 1
206.865 60.889 308.280 7 8 16 43 1
206.865 60.889 308.280 8 8 16 43 1
206.865 60.889 308.280 9 8 16 43 1
206.865 60.889 308.280 10 8 16 43 1
206.865 60.889 308.280 11 8 16 43 1
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206.865 60.889 308.280 13 8 16 43 1
206.865 60.889 308.280 14 8 16 43 1
111.594 70.700 44.838 15 8 16 20 1
337.952 156.456 36.702 16 8 16 24 1
337.952 156.456 36.702 17 8 16 24 1
337.952 156.456 36.702 18 8 16 24 1
337.952 156.456 36.702 19 8 16 24 1
337.952 156.456 36.702 20 8 16 24 1
195.836 46.286 27.037 1 9 16 34 1
195.836 46.286 27.037 2 9 16 34 1
195.836 46.286 27.037 3 9 16 34 1
195.836 46.286 27.037 4 9 16 34 1
195.836 46.286 27.037 5 9 16 34 1
61.871 127.308 31.203 6 9 16 16 1
61.871 127.308 31.203 7 9 16 16 1
61.871 127.308 31.203 8 9 16 16 1
206.865 60.889 308.280 9 9 16 43 1
206.865 60.889 308.280 10 9 16 43 1
206.865 60.889 308.280 11 9 16 43 1
206.865 60.889 308.280 12 9 16 43 1
111.594 70.700 44.838 13 9 16 20 1
111.594 70.700 44.838 14 9 16 20 1
111.594 70.700 44.838 15 9 16 20 1
111.594 70.700 44.838 16 9 16 20 1
111.594 70.700 44.838 17 9 16 20 1
111.594 70.700 44.838 18 9 16 20 1
337.952 156.456 36.702 19 9 16 24 1
337.952 156.456 36.702 20 9 16 24 1
195.836 46.286 27.037 1 10 16 34 1
195.836 46.286 27.037 2 10 16 34 1
195.836 46.286 27.037 3 10 16 34 1
195.836 46.286 27.037 4 10 16 34 1
195.836 46.286 27.037 5 10 16 34 1
61.871 127.308 31.203 6 10 16 16 1
61.871 127.308 31.203 7 10 16 16 1
61.871 127.308 31.203 8 10 16 16 1
61.871 127.308 31.203 9 10 16 16 1
61.871 127.308 31.203 10 10 16 16 1
61.871 127.308 31.203 11 10 16 16 1
111.594 70.700 44.838 12 10 16 20 1
111.594 70.700 44.838 13 10 16 20 1
111.594 70.700 44.838 14 10 16 20 1
111.594 70.700 44.838 15 10 16 20 1
111.594 70.700 44.838 16 10 16 20 1
111.594 70.700 44.838 17 10 16 20 1
111.594 70.700 44.838 18 10 16 20 1
111.594 70.700 44.838 19 10 16 20 1
337.952 156.456 36.702 20 10 16 24 1
195.836 46.286 27.037 1 11 16 34 1
195.836 46.286 27.037 2 11 16 34 1
195.836 46.286 27.037 3 11 16 34 1
195.836 46.286 27.037 4 11 16 34 1
61.871 127.308 31.203 5 11 16 16 1
61.871 127.308 31.203 6 11 16 16 1
61.871 127.308 31.203 7 11 16 16 1
61.871 127.308 31.203 8 11 16 16 1
61.871 127.308 31.203 9 11 16 16 1
61.871 127.308 31.203 10 11 16 16 1
61.871 127.308 31.203 11 11 16 16 1
111.594 70.700 44.838 12 11 16 20 1
111.594 70.700 44.838 13 11 16 20 1
111.594 70.700 44.838 14 11 16 20 1
111.594 70.700 44.838 15 11 16 20 1
111.594 70.700 44.838 16 11 16 20 1
111.594 70.700 44.838 17 11 16 20 1
111.594 70.700 44.838 18 11 16 20 1
111.594 70.700 44.838 19 11 16 20 1
313.941 133.588 281.173 20 11 16 31 1
174.974 118.636 115.906 1 12 16 18 1
174.974 118.636 115.906 2 12 16 18 1
174.974 118.636 115.906 3 12 16 18 1
174.974 118.636 115.906 4 12 16 18 1
61.871 127.308 31.203 5 12 16 16 1
61.871 127.308 31.203 6 12 16 16 1
61.871 127.308 31.203 7 12 16 16 1
61.871 127.308 31.203 8 12 16 16 1
61.871 127.308 31.203 9 12 16 16 1
61.871 127.308 31.203 10 12 16 16 1
61.871 127.308 31.203 11 12 16 16 1
111.594 70.700 44.838 12 12 16 20 1
111.594 70.700 44.838 13 12 16 20 1
111.594 70.700 44.838 14 12 16 20 1
111.594 70.700 44.838 15 12 16 20 1
111.594 70.700 44.838 16 12 16 20 1
111.594 70.700 44.838 17 12 16 20 1
111.594 70.700 44.838 18 12 16 20 1
313.941 133.588 281.173 19 12 16 31 1
313.941 133.588 281.173 20 12 16 31 1
174.974 118.636 115.906 1 13 16 18 1
174.974 118.636 115.906 2 13 16 18 1
174.974 118.636 115.906 3 13 16 18 1
174.974 118.636 115.906 4 13 16 18 1
174.974 118.636 115.906 5 13 16 18 1
61.871 127.308 31.203 6 13 16 16 1
61.871 127.308 31.203 7 13 16 16 1
61.871 127.308 31.203 8 13 16 16 1
61.871 127.308 31.203 9 13 16 16 1
61.871 127.308 31.203 10 13 16 16 1
61.871 127.308 31.203 11 13 16 16 1
111.594 70.700 44.838 12 13 16 20 1
111.594 70.700 44.838 13 13 16 20 1
111.594 70.700 44.838 14 13 16 20 1
111.594 70.700 44.838 15 13 16 20 1
111.594 70.700 44.838 16 13 16 20 1
111.594 70.700 44.838 17 13 16 20 1
313.941 133.588 281.173 18 13 16 31 1
313.941 133.588 281.173 19 13 16 31 1
313.941 133.588 281.173 20 13 16 31 1
174.974 118.636 115.906 1 14 16 18 1
174.974 118.636 115.906 2 14 16 18 1
174.974 118.636 115.906 3 14 16 18 1
174.974 118.636 115.906 4 14 16 18 1
174.974 118.636 115.906 5 14 16 18 1
61.871 127.308 31.203 6 14 16 16 1
61.871 127.308 31.203 7 14 16 16 1
61.871 127.308 31.203 8 14 16 16 1
61.871 127.308 31.203 9 14 16 16 1
193.199 106.176 102.671 10 14 16 29 1
193.199 106.176 102.671 11 14 16 29 1
193.199 106.176 102.671 12 14 16 29 1
193.199 106.176 102.671 13 14 16 29 1
111.594 70.700 44.838 14 14 16 20 1
111.594 70.700 44.838 15 14 16 20 1
111.594 70.700 44.838 16 14 16 20 1
313.941 133.588 281.173 17 14 16 31 1
313.941 133.588 281.173 18 14 16 31 1
313.941 133.588 281.173 19 14 16 31 1
313.941 133.588 281.173 20 14 16 31 1
174.974 118.636 115.906 1 15 16 18 1
174.974 118.636 115.906 2 15 16 18 1
174.974 118.636 115.906 3 15 16 18 1
174.974 118.636 115.906 4 15 16 18 1
174.974 118.636 115.906 5 15 16 18 1
174.974 118.636 115.906 6 15 16 18 1
61.871 127.308 31.203 7 15 16 16 1
193.199 106.176 102.671 8 15 16 29 1
193.199 106.176 102.671 9 15 16 29 1
193.199 106.176 102.671 10 15 16 29 1
193.199 106.176 102.671 11 15 16 29 1
193.199 106.176 102.671 12 15 16 29 1
193.199 106.176 102.671 13 15 16 29 1
307.313 113.083 57.838 14 15 16 19 1
307.313 113.083 57.838 15 15 16 19 1
307.313 113.083 57.838 16 15 16 19 1
307.313 113.083 57.838 17 15 16 19 1
307.313 113.083 57.838 18 15 16 19 1
313.941 133.588 281.173 19 15 16 31 1
313.941 133.588 281.173 20 15 16 31 1
174.974 118.636 115.906 1 16 16 18 1
174.974 118.636 115.906 2 16 16 18 1
174.974 118.636 115.906 3 16 16 18 1
174.974 118.636 115.906 4 16 16 18 1
174.974 118.636 115.906 5 16 16 18 1
174.974 118.636 115.906 6 16 16 18 1
193.199 106.176 102.671 7 16 16 29 1
193.199 106.176 102.671 8 16 16 29 1
193.199 106.176 102.671 9 16 16 29 1
193.199 106.176 102.671 10 16 16 29 1
193.199 106.176 102.671 11 16 16 29 1
193.199 106.176 102.671 12 16 16 29 1
193.199 106.176 102.671 13 16 16 29 1
307.313 113.083 57.838 14 16 16 19 1
307.313 113.083 57.838 15 16 16 19 1
307.313 113.083 57.838 16 16 16 19 1
307.313 113.083 57.838 17 16 16 19 1
307.313 113.083 57.838 18 16 16 19 1
307.313 113.083 57.838 19 16 16 19 1
313.941 133.588 281.173 20 16 16 31 1
174.974 118.636 115.906 1 17 16 18 1
174.974 118.636 115.906 2 17 16 18 1
174.974 118.636 115.906 3 17 16 18 1
174.974 118.636 115.906 4 17 16 18 1
140.911 146.459 236.524 5 17 16 28 1
140.911 146.459 236.524 6 17 16 28 1
193.199 106.176 102.671 7 17 16 29 1
193.199 106.176 102.671 8 17 16 29 1
193.199 106.176 102.671 9 17 16 29 1
193.199 106.176 102.671 10 17 16 29 1
193.199 106.176 102.671 11 17 16 29 1
193.199 106.176 102.671 12 17 16 29 1
193.199 106.176 102.671 13 17 16 29 1
307.313 113.083 57.838 14 17 16 19 1
307.313 113.083 57.838 15 17 16 19 1
307.313 113.083 57.838 16 17 16 19 1
307.313 113.083 57.838 17 17 16 19 1
307.313 113.083 57.838 18 17 16 19 1
307.313 113.083 57.838 19 17 16 19 1
313.941 133.588 281.173 20 17 16 31 1
140.911 146.459 236.524 1 18 16 28 1
140.911 146.459 236.524 2 18 16 28 1
140.911 146.459 236.524 3 18 16 28 1
140.911 146.459 236.524 4 18 16 28 1
140.911 146.459 236.524 5 18 16 28 1
140.911 146.459 236.524 6 18 16 28 1
140.911 146.459 236.524 7 18 16 28 1
193.199 106.176 102.671 8 18 16 29 1
193.199 106.176 102.671 9 18 16 29 1
193.199 106.176 102.671 10 18 16 29 1
193.199 106.176 102.671 11 18 16 29 1
193.199 106.176 102.671 12 18 16 29 1
193.199 106.176 102.671 13 18 16 29 1
307.313 113.083 57.838 14 18 16 19 1
307.313 113.083 57.838 15 18 16 19 1
307.313 113.083 57.838 16 18 16 19 1
307.313 113.083 57.838 17 18 16 19 1
307.313 113.083 57.838 18 18 16 19 1
307.313 113.083 57.838 19 18 16 19 1
307.313 113.083 57.838 20 18 16 19 1
140.911 146.459 236.524 1 19 16 28 1
140.911 146.459 236.524 2 19 16 28 1
140.911 146.459 236.524 3 19 16 28 1
140.911 146.459 236.524 4 19 16 28 1
140.911 146.459 236.524 5 19 16 28 1
140.911 146.459 236.524 6 19 16 28 1
140.911 146.459 236.524 7 19 16 28 1
193.199 106.176 102.671 8 19 16 29 1
193.199 106.176 102.671 9 19 16 29 1
193.199 106.176 102.671 10 19 16 29 1
193.199 106.176 102.671 11 19 16 29 1
193.199 106.176 102.671 12 19 16 29 1
193.199 106.176 102.671 13 19 16 29 1
307.313 113.083 57.838 14 19 16 19 1
307.313 113.083 57.838 15 19 16 19 1
307.313 113.083 57.838 16 19 16 19 1
307.313 113.083 57.838 17 19 16 19 1
307.313 113.083 57.838 18 19 16 19 1
147.237 136.696 99.729 19 19 16 9 1
147.237 136.696 99.729 20 19 16 9 1
140.911 146.459 236.524 1 20 16 28 1
140.911 146.459 236.524 2 20 16 28 1
140.911 146.459 236.524 3 20 16 28 1
140.911 146.459 236.524 4 20 16 28 1
140.911 146.459 236.524 5 20 16 28 1
140.911 146.459 236.524 6 20 16 28 1
140.911 146.459 236.524 7 20 16 28 1
140.911 146.459 236.524 8 20 16 28 1
223.840 69.973 177.562 9 20 16 37 1
193.199 106.176 102.671 10 20 16 29 1
193.199 106.176 102.671 11 20 16 29 1
193.199 106.176 102.671 12 20 16 29 1
193.199 106.176 102.671 13 20 16 29 1
307.313 113.083 57.838 14 20 16 19 1
307.313 113.083 57.838 15 20 16 19 1
307.313 113.083 57.838 16 20 16 19 1
307.313 113.083 57.838 17 20 16 19 1
147.237 136.696 99.729 18 20 16 9 1
147.237 136.696 99.729 19 20 16 9 1
147.237 136.696 99.729 20 20 16 9 1
213.704 129.862 233.466 1 1 17 5 1
213.704 129.862 233.466 2 1 17 5 1
213.704 129.862 233.466 3 1 17 5 1
213.704 129.862 233.466 4 1 17 5 1
213.704 129.862 233.466 5 1 17 5 1
213.704 129.862 233.466 6 1 17 5 1
213.704 129.862 233.466 7 1 17 5 1
29.107 41.050 111.993 8 1 17 12 1
32.741 35.872 10.181 9 1 17 25 1
32.741 35.872 10.181 10 1 17 25 1
32.741 35.872 10.181 11 1 17 25 1
32.741 35.872 10.181 12 1 17 25 1
32.741 35.872 10.181 13 1 17 25 1
21.084 85.761 243.412 14 1 17 46 1
21.084 85.761 243.412 15 1 17 46 1
21.084 85.761 243.412 16 1 17 46 1
21.084 85.761 243.412 17 1 17 46 1
21.084 85.761 243.412 18 1 17 46 1
21.084 85.761 243.412 19 1 17 46 1
62.280 67.002 307.632 20 1 17 35 1
213.704 129.862 233.466 1 2 17 5 1
213.704 129.862 233.466 2 2 17 5 1
213.704 129.862 233.466 3 2 17 5 1
213.704 129.862 233.466 4 2 17 5 1
213.704 129.862 233.466 5 2 17 5 1
213.704 129.862 233.466 6 2 17 5 1
29.107 41.050 111.993 7 2 17 12 1
29.107 41.050 111.993 8 2 17 12 1
32.741 35.872 10.181 9 2 17 25 1
32.741 35.872 10.181 10 2 17 25 1
32.741 35.872 10.181 11 2 17 25 1
32.741 35.872 10.181 12 2 17 25 1
32.741 35.872 10.181 13 2 17 25 1
32.741 35.872 10.181 14 2 17 25 1
21.084 85.761 243.412 15 2 17 46 1
21.084 85.761 243.412 16 2 17 46 1
21.084 85.761 243.412 17 2 17 46 1
21.084 85.761 243.412 18 2 17 46 1
21.084 85.761 243.412 19 2 17 46 1
62.280 67.002 307.632 20 2 17 35 1
213.704 129.862 233.466 1 3 17 5 1
213.704 129.862 233.466 2 3 17 5 1
213.704 129.862 233.466 3 3 17 5 1
213.704 129.862 233.466 4 3 17 5 1
213.704 129.862 233.466 5 3 17 5 1
213.704 129.862 233.466 6 3 17 5 1
213.704 129.862 233.466 7 3 17 5 1
206.865 60.889 308.280 8 3 17 43 1
206.865 60.889 308.280 9 3 17 43 1
32.741 35.872 10.181 10 3 17 25 1
32.741 35.872 10.181 11 3 17 25 1
32.741 35.872 10.181 12 3 17 25 1
32.741 35.872 10.181 13 3 17 25 1
32.741 35.872 10.181 14 3 17 25 1
32.741 35.872 10.181 15 3 17 25 1
21.084 85.761 243.412 16 3 17 46 1
21.084 85.761 243.412 17 3 17 46 1
21.084 85.761 243.412 18 3 17 46 1
21.084 85.761 243.412 19 3 17 46 1
359.146 112.896 37.983 20 3 17 6 1
213.704 129.862 233.466 1 4 17 5 1
213.704 129.862 233.466 2 4 17 5 1
213.704 129.862 233.466 3 4 17 5 1
213.704 129.862 233.466 4 4 17 5 1
213.704 129.862 233.466 5 4 17 5 1
213.704 129.862 233.466 6 4 17 5 1
206.865 60.889 308.280 7 4 17 43 1
206.865 60.889 308.280 8 4 17 43 1
206.865 60.889 308.280 9 4 17 43 1
206.865 60.889 308.280 10 4 17 43 1
32.741 35.872 10.181 11 4 17 25 1
32.741 35.872 10.181 12 4 17 25 1
32.741 35.872 10.181 13 4 17 25 1
32.741 35.872 10.181 14 4 17 25 1
32.741 35.872 10.181 15 4 17 25 1
21.084 85.761 243.412 16 4 17 46 1
21.084 85.761 243.412 17 4 17 46 1
337.952 156.456 36.702 18 4 17 24 1
337.952 156.456 36.702 19 4 17 24 1
337.952 156.456 36.702 20 4 17 24 1
134.113 92.523 201.119 1 5 17 36 1
134.113 92.523 201.119 2 5 17 36 1
213.704 129.862 233.466 3 5 17 5 1
213.704 129.862 233.466 4 5 17 5 1
213.704 129.862 233.466 5 5 17 5 1
213.704 129.862 233.466 6 5 17 5 1
206.865 60.889 308.280 7 5 17 43 1
206.865 60.889 308.280 8 5 17 43 1
206.865 60.889 308.280 9 5 17 43 1
206.865 60.889 308.280 10 5 17 43 1
206.865 60.889 308.280 11 5 17 43 1
32.741 35.872 10.181 12 5 17 25 1
32.741 35.872 10.181 13 5 17 25 1
32.741 35.872 10.181 14 5 17 25 1
32.741 35.872 10.181 15 5 17 25 1
337.952 156.456 36.702 16 5 17 24 1
337.952 156.456 36.702 17 5 17 24 1
337.952 156.456 36.702 18 5 17 24 1
337.952 156.456 36.702 19 5 17 24 1
337.952 156.456 36.702 20 5 17 24 1
134.113 92.523 201.119 1 6 17 36 1
134.113 92.523 201.119 2 6 17 36 1
134.113 92.523 201.119 3 6 17 36 1
134.113 92.523 201.119 4 6 17 36 1
134.113 92.523 201.119 5 6 17 36 1
206.865 60.889 308.280 6 6 17 43 1
206.865 60.889 308.280 7 6 17 43 1
206.865 60.889 308.280 8 6 17 43 1
206.865 60.889 308.280 9 6 17 43 1
206.865 60.889 308.280 10 6 17 43 1
206.865 60.889 308.280 11 6 17 43 1
206.865 60.889 308.280 12 6 17 43 1
32.741 35.872 10.181 13 6 17 25 1
32.741 35.872 10.181 14 6 17 25 1
32.741 35.872 10.181 15 6 17 25 1
337.952 156.456 36.702 16 6 17 24 1
337.952 156.456 36.702 17 6 17 24 1
337.952 156.456 36.702 18 6 17 24 1
337.952 156.456 36.702 19 6 17 24 1
337.952 156.456 36.702 20 6 17 24 1
195.836 46.286 27.037 1 7 17 34 1
195.836 46.286 27.037 2 7 17 34 1
134.113 92.523 201.119 3 7 17 36 1
134.113 92.523 201.119 4 7 17 36 1
134.113 92.523 201.119 5 7 17 36 1
206.865 60.889 308.280 6 7 17 43 1
206.865 60.889 308.280 7 7 17 43 1
206.865 60.889 308.280 8 7 17 43 1
206.865 60.889 308.280 9 7 17 43 1
206.865 60.889 308.280 10 7 17 43 1
206.865 60.889 308.280 11 7 17 43 1
206.865 60.889 308.280 12 7 17 43 1
206.865 60.889 308.280 13 7 17 43 1
32.741 35.872 10.181 14 7 17 25 1
32.741 35.872 10.181 15 7 17 25 1
337.952 156.456 36.702 16 7 17 24 1
337.952 156.456 36.702 17 7 17 24 1
337.952 156.456 36.702 18 7 17 24 1
337.952 156.456 36.702 19 7 17 24 1
337.952 156.456 36.702 20 7 17 24 1
195.836 46.286 27.037 1 8 17 34 1
195.836 46.286 27.037 2 8 17 34 1
195.836 46.286 27.037 3 8 17 34 1
195.836 46.286 27.037 4 8 17 34 1
195.836 46.286 27.037 5 8 17 34 1
206.865 60.889 308.280 6 8 17 43 1
206.865 60.889 308.280 7 8 17 43 1
206.865 60.889 308.280 8 8 17 43 1
206.865 60.889 308.280 9 8 17 43 1
206.865 60.889 308.280 10 8 17 43 1
206.865 60.889 308.280 11 8 17 43 1
206.865 60.889 308.280 12 8 17 43 1
206.865 60.889 308.280 13 8 17 43 1
206.865 60.889 308.280 14 8 17 43 1
337.952 156.456 36.702 15 8 17 24 1
337.952 156.456 36.702 16 8 17 24 1
337.952 156.456 36.702 17 8 17 24 1
337.952 156.456 36.702 18 8 17 24 1
337.952 156.456 36.702 19 8 17 24 1
337.952 156.456 36.702 20 8 17 24 1
195.836 46.286 27.037 1 9 17 34 1
195.836 46.286 27.037 2 9 17 34 1
195.836 46.286 27.037 3 9 17 34 1
195.836 46.286 27.037 4 9 17 34 1
195.836 46.286 27.037 5 9 17 34 1
61.871 127.308 31.203 6 9 17 16 1
61.871 127.308 31.203 7 9 17 16 1
61.871 127.308 31.203 8 9 17 16 1
206.865 60.889 308.280 9 9 17 43 1
206.865 60.889 308.280 10 9 17 43 1
206.865 60.889 308.280 11 9 17 43 1
206.865 60.889 308.280 12 9 17 43 1
111.594 70.700 44.838 13 9 17 20 1
111.594 70.700 44.838 14 9 17 20 1
111.594 70.700 44.838 15 9 17 20 1
337.952 156.456 36.702 16 9 17 24 1
337.952 156.456 36.702 17 9 17 24 1
337.952 156.456 36.702 18 9 17 24 1
337.952 156.456 36.702 19 9 17 24 1
337.952 156.456 36.702 20 9 17 24 1
195.836 46.286 27.037 1 10 17 34 1
195.836 46.286 27.037 2 10 17 34 1
195.836 46.286 27.037 3 10 17 34 1
195.836 46.286 27.037 4 10 17 34 1
195.836 46.286 27.037 5 10 17 34 1
61.871 127.308 31.203 6 10 17 16 1
61.871 127.308 31.203 7 10 17 16 1
61.871 127.308 31.203 8 10 17 16 1
61.871 127.308 31.203 9 10 17 16 1
61.871 127.308 31.203 10 10 17 16 1
206.865 60.889 308.280 11 10 17 43 1
111.594 70.700 44.838 12 10 17 20 1
111.594 70.700 44.838 13 10 17 20 1
111.594 70.700 44.838 14 10 17 20 1
111.594 70.700 44.838 15 10 17 20 1
111.594 70.700 44.838 16 10 17 20 1
111.594 70.700 44.838 17 10 17 20 1
111.594 70.700 44.838 18 10 17 20 1
313.941 133.588 281.173 19 10 17 31 1
337.952 156.456 36.702 20 10 17 24 1
195.836 46.286 27.037 1 11 17 34 1
195.836 46.286 27.037 2 11 17 34 1
195.836 46.286 27.037 3 11 17 34 1
174.974 118.636 115.906 4 11 17 18 1
174.974 118.636 115.906 5 11 17 18 1
61.871 127.308 31.203 6 11 17 16 1
61.871 127.308 31.203 7 11 17 16 1
61.871 127.308 31.203 8 11 17 16 1
61.871 127.308 31.203 9 11 17 16 1
61.871 127.308 31.203 10 11 17 16 1
61.871 127.308 31.203 11 11 17 16 1
111.594 70.700 44.838 12 11 17 20 1
111.594 70.700 44.838 13 11 17 20 1
111.594 70.700 44.838 14 11 17 20 1
111.594 70.700 44.838 15 11 17 20 1
111.594 70.700 44.838 16 11 17 20 1
111.594 70.700 44.838 17 11 17 20 1
313.941 133.588 281.173 18 11 17 31 1
313.941 133.588 281.173 19 11 17 31 1
313.941 133.588 281.173 20 11 17 31 1
174.974 118.636 115.906 1 12 17 18 1
174.974 118.636 115.906 2 12 17 18 1
174.974 118.636 115.906 3 12 17 18 1
174.974 118.636 115.906 4 12 17 18 1
174.974 118.636 115.906 5 12 17 18 1
61.871 127.308 31.203 6 12 17 16 1
61.871 127.308 31.203 7 12 17 16 1
61.871 127.308 31.203 8 12 17 16 1
61.871 127.308 31.203 9 12 17 16 1
61.871 127.308 31.203 10 12 17 16 1
61.871 127.308 31.203 11 12 17 16 1
111.594 70.700 44.838 12 12 17 20 1
111.594 70.700 44.838 13 12 17 20 1
111.594 70.700 44.838 14 12 17 20 1
111.594 70.700 44.838 15 12 17 20 1
111.594 70.700 44.838 16 12 17 20 1
313.941 133.588 281.173 17 12 17 31 1
313.941 133.588 281.173 18 12 17 31 1
313.941 133.588 281.173 19 12 17 31 1
313.941 133.588 281.173 20 12 17 31 1
174.974 118.636 115.906 1 13 17 18 1
174.974 118.636 115.906 2 13 17 18 1
174.974 118.636 115.906 3 13 17 18 1
174.974 118.636 115.906 4 13 17 18 1
174.974 118.636 115.906 5 13 17 18 1
61.871 127.308 31.203 6 13 17 16 1
61.871 127.308 31.203 7 13 17 16 1
61.871 127.308 31.203 8 13 17 16 1
61.871 127.308 31.203 9 13 17 16 1
61.871 127.308 31.203 10 13 17 16 1
61.871 127.308 31.203 11 13 17 16 1
111.594 70.700 44.838 12 13 17 20 1
111.594 70.700 44.838 13 13 17 20 1
111.594 70.700 44.838 14 13 17 20 1
313.941 133.588 281.173 15 13 17 31 1
313.941 133.588 281.173 16 13 17 31 1
313.941 133.588 281.173 17 13 17 31 1
313.941 133.588 281.173 18 13 17 31 1
313.941 133.588 281.173 19 13 17 31 1
313.941 133.588 281.173 20 13 17 31 1
174.974 118.636 115.906 1 14 17 18 1
174.974 118.636 115.906 2 14 17 18 1
174.974 118.636 115.906 3 14 17 18 1
174.974 118.636 115.906 4 14 17 18 1
174.974 118.636 115.906 5 14 17 18 1
174.974 118.636 115.906 6 14 17 18 1
61.871 127.308 31.203 7 14 17 16 1
61.871 127.308 31.203 8 14 17 16 1
61.871 127.308 31.203 9 14 17 16 1
61.871 127.308 31.203 10 14 17 16 1
193.199 106.176 102.671 11 14 17 29 1
193.199 106.176 102.671 12 14 17 29 1
193.199 106.176 102.671 13 14 17 29 1
111.594 70.700 44.838 14 14 17 20 1
313.941 133.588 281.173 15 14 17 31 1
313.941 133.588 281.173 16 14 17 31 1
313.941 133.588 281.173 17 14 17 31 1
313.941 133.588 281.173 18 14 17 31 1
313.941 133.588 281.173 19 14 17 31 1
313.941 133.588 281.173 20 14 17 31 1
174.974 118.636 115.906 1 15 17 18 1
174.974 118.636 115.906 2 15 17 18 1
174.974 118.636 115.906 3 15 17 18 1
174.974 118.636 115.906 4 15 17 18 1
174.974 118.636 115.906 5 15 17 18 1
174.974 118.636 115.906 6 15 17 18 1
61.871 127.308 31.203 7 15 17 16 1
61.871 127.308 31.203 8 15 17 16 1
61.871 127.308 31.203 9 15 17 16 1
193.199 106.176 102.671 10 15 17 29 1
193.199 106.176 102.671 11 15 17 29 1
193.199 106.176 102.671 12 15 17 29 1
193.199 106.176 102.671 13 15 17 29 1
313.941 133.588 281.173 14 15 17 31 1
313.941 133.588 281.173 15 15 17 31 1
313.941 133.588 281.173 16 15 17 31 1
313.941 133.588 281.173 17 15 17 31 1
313.941 133.588 281.173 18 15 17 31 1
313.941 133.588 281.173 19 15 17 31 1
313.941 133.588 281.173 20 15 17 31 1
174.974 118.636 115.906 1 16 17 18 1
174.974 118.636 115.906 2 16 17 18 1
174.974 118.636 115.906 3 16 17 18 1
174.974 118.636 115.906 4 16 17 18 1
174.974 118.636 115.906 5 16 17 18 1
174.974 118.636 115.906 6 16 17 18 1
174.974 118.636 115.906 7 16 17 18 1
193.199 106.176 102.671 8 16 17 29 1
193.199 106.176 102.671 9 16 17 29 1
193.199 106.176 102.671 10 16 17 29 1
193.199 106.176 102.671 11 16 17 29 1
193.199 106.176 102.671 12 16 17 29 1
193.199 106.176 102.671 13 16 17 29 1
307.313 113.083 57.838 14 16 17 19 1
307.313 113.083 57.838 15 16 17 19 1
313.941 133.588 281.173 16 16 17 31 1
313.941 133.588 281.173 17 16 17 31 1
313.941 133.588 281.173 18 16 17 31 1
313.941 133.588 281.173 19 16 17 31 1
313.941 133.588 281.173 20 16 17 31 1
174.974 118.636 115.906 1 17 17 18 1
174.974 118.636 115.906 2 17 17 18 1
174.974 118.636 115.906 3 17 17 18 1
174.974 118.636 115.906 4 17 17 18 1
174.974 118.636 115.906 5 17 17 18 1
174.974 118.636 115.906 6 17 17 18 1
174.974 118.636 115.906 7 17 17 18 1
193.199 106.176 102.671 8 17 17 29 1
193.199 106.176 102.671 9 17 17 29 1
193.199 106.176 102.671 10 17 17 29 1
193.199 106.176 102.671 11 17 17 29 1
193.199 106.176 102.671 12 17 17 29 1
193.199 106.176 102.671 13 17 17 29 1
307.313 113.083 57.838 14 17 17 19 1
307.313 113.083 57.838 15 17 17 19 1
307.313 113.083 57.838 16 17 17 19 1
313.941 133.588 281.173 17 17 17 31 1
313.941 133.588 281.173 18 17 17 31 1
313.941 133.588 281.173 19 17 17 31 1
313.941 133.588 281.173 20 17 17 31 1
174.974 118.636 115.906 1 18 17 18 1
174.974 118.636 115.906 2 18 17 18 1
174.974 118.636 115.906 3 18 17 18 1
140.911 146.459 236.524 4 18 17 28 1
140.911 146.459 236.524 5 18 17 28 1
140.911 146.459 236.524 6 18 17 28 1
223.840 69.973 177.562 7 18 17 37 1
223.840 69.973 177.562 8 18 17 37 1
223.840 69.973 177.562 9 18 17 37 1
193.199 106.176 102.671 10 18 17 29 1
193.199 106.176 102.671 11 18 17 29 1
193.199 106.176 102.671 12 18 17 29 1
193.199 106.176 102.671 13 18 17 29 1
307.313 113.083 57.838 14 18 17 19 1
307.313 113.083 57.838 15 18 17 19 1
307.313 113.083 57.838 16 18 17 19 1
307.313 113.083 57.838 17 18 17 19 1
313.941 133.588 281.173 18 18 17 31 1
313.941 133.588 281.173 19 18 17 31 1
313.941 133.588 281.173 20 18 17 31 1
140.911 146.459 236.524 1 19 17 28 1
140.911 146.459 236.524 2 19 17 28 1
140.911 146.459 236.524 3 19 17 28 1
140.911 146.459 236.524 4 19 17 28 1
140.911 146.459 236.524 5 19 17 28 1
223.840 69.973 177.562 6 19 17 37 1
223.840 69.973 177.562 7 19 17 37 1
223.840 69.973 177.562 8 19 17 37 1
223.840 69.973 177.562 9 19 17 37 1
223.840 69.973 177.562 10 19 17 37 1
223.840 69.973 177.562 11 19 17 37 1
193.199 106.176 102.671 12 19 17 29 1
193.199 106.176 102.671 13 19 17 29 1
307.313 113.083 57.838 14 19 17 19 1
307.313 113.083 57.838 15 19 17 19 1
147.237 136.696 99.729 16 19 17 9 1
147.237 136.696 99.729 17 19 17 9 1
147.237 136.696 99.729 18 19 17 9 1
147.237 136.696 99.729 19 19 17 9 1
147.237 136.696 99.729 20 19 17 9 1
140.911 146.459 236.524 1 20 17 28 1
140.911 146.459 236.524 2 20 17 28 1
140.911 146.459 236.524 3 20 17 28 1
140.911 146.459 236.524 4 20 17 28 1
140.911 146.459 236.524 5 20 17 28 1
223.840 69.973 177.562 6 20 17 37 1
223.840 69.973 177.562 7 20 17 37 1
223.840 69.973 177.562 8 20 17 37 1
223.840 69.973 177.562 9 20 17 37 1
223.840 69.973 177.562 10 20 17 37 1
223.840 69.973 177.562 11 20 17 37 1
223.840 69.973 177.562 12 20 17 37 1
223.840 69.973 177.562 13 20 17 37 1
147.237 136.696 99.729 14 20 17 9 1
147.237 136.696 99.729 15 20 17 9 1
147.237 136.696 99.729 16 20 17 9 1
147.237 136.696 99.729 17 20 17 9 1
147.237 136.696 99.729 18 20 17 9 1
147.237 136.696 99.729 19 20 17 9 1
147.237 136.696 99.729 20 20 17 9 1
213.704 129.862 233.466 1 1 18 5 1
213.704 129.862 233.466 2 1 18 5 1
213.704 129.862 233.466 3 1 18 5 1
29.107 41.050 111.993 4 1 18 12 1
29.107 41.050 111.993 5 1 18 12 1
29.107 41.050 111.993 6 1 18 12 1
29.107 41.050 111.993 7 1 18 12 1
29.107 41.050 111.993 8 1 18 12 1
29.107 41.050 111.993 9 1 18 12 1
32.741 35.872 10.181 10 1 18 25 1
32.741 35.872 10.181 11 1 18 25 1
32.741 35.872 10.181 12 1 18 25 1
32.741 35.872 10.181 13 1 18 25 1
21.084 85.761 243.412 14 1 18 46 1
21.084 85.761 243.412 15 1 18 46 1
21.084 85.761 243.412 16 1 18 46 1
21.084 85.761 243.412 17 1 18 46 1
21.084 85.761 243.412 18 1 18 46 1
62.280 67.002 307.632 19 1 18 35 1
62.280 67.002 307.632 20 1 18 35 1
213.704 129.862 233.466 1 2 18 5 1
213.704 129.862 233.466 2 2 18 5 1
29.107 41.050 111.993 3 2 18 12 1
29.107 41.050 111.993 4 2 18 12 1
29.107 41.050 111.993 5 2 18 12 1
29.107 41.050 111.993 6 2 18 12 1
29.107 41.050 111.993 7 2 18 12 1
29.107 41.050 111.993 8 2 18 12 1
29.107 41.050 111.993 9 2 18 12 1
32.741 35.872 10.181 10 2 18 25 1
32.741 35.872 10.181 11 2 18 25 1
32.741 35.872 10.181 12 2 18 25 1
32.741 35.872 10.181 13 2 18 25 1
32.741 35.872 10.181 14 2 18 25 1
21.084 85.761 243.412 15 2 18 46 1
21.084 85.761 243.412 16 2 18 46 1
21.084 85.761 243.412 17 2 18 46 1
21.084 85.761 243.412 18 2 18 46 1
62.280 67.002 307.632 19 2 18 35 1
62.280 67.002 307.632 20 2 18 35 1
213.704 129.862 233.466 1 3 18 5 1
213.704 129.862 233.466 2 3 18 5 1
213.704 129.862 233.466 3 3 18 5 1
29.107 41.050 111.993 4 3 18 12 1
29.107 41.050 111.993 5 3 18 12 1
29.107 41.050 111.993 6 3 18 12 1
29.107 41.050 111.993 7 3 18 12 1
29.107 41.050 111.993 8 3 18 12 1
206.865 60.889 308.280 9 3 18 43 1
32.741 35.872 10.181 10 3 18 25 1
32.741 35.872 10.181 11 3 18 25 1
32.741 35.872 10.181 12 3 18 25 1
32.741 35.872 10.181 13 3 18 25 1
32.741 35.872 10.181 14 3 18 25 1
21.084 85.761 243.412 15 3 18 46 1
21.084 85.761 243.412 16 3 18 46 1
21.084 85.761 243.412 17 3 18 46 1
21.084 85.761 243.412 18 3 18 46 1
21.084 85.761 243.412 19 3 18 46 1
62.280 67.002 307.632 20 3 18 35 1
134.113 92.523 201.119 1 4 18 36 1
134.113 92.523 201.119 2 4 18 36 1
134.113 92.523 201.119 3 4 18 36 1
134.113 92.523 201.119 4 4 18 36 1
29.107 41.050 111.993 5 4 18 12 1
29.107 41.050 111.993 6 4 18 12 1
29.107 41.050 111.993 7 4 18 12 1
206.865 60.889 308.280 8 4 18 43 1
206.865 60.889 308.280 9 4 18 43 1
32.741 35.872 10.181 10 4 18 25 1
32.741 35.872 10.181 11 4 18 25 1
32.741 35.872 10.181 12 4 18 25 1
32.741 35.872 10.181 13 4 18 25 1
32.741 35.872 10.181 14 4 18 25 1
32.741 35.872 10.181 15 4 18 25 1
21.084 85.761 243.412 16 4 18 46 1
21.084 85.761 243.412 17 4 18 46 1
21.084 85.761 243.412 18 4 18 46 1
337.952 156.456 36.702 19 4 18 24 1
337.952 156.456 36.702 20 4 18 24 1
134.113 92.523 201.119 1 5 18 36 1
134.113 92.523 201.119 2 5 18 36 1
134.113 92.523 201.119 3 5 18 36 1
134.113 92.523 201.119 4 5 18 36 1
134.113 92.523 201.119 5 5 18 36 1
263.722 37.538 64.597 6 5 18 10 1
206.865 60.889 308.280 7 5 18 43 1
206.865 60.889 308.280 8 5 18 43 1
206.865 60.889 308.280 9 5 18 43 1
206.865 60.889 308.280 10 5 18 43 1
32.741 35.872 10.181 11 5 18 25 1
32.741 35.872 10.181 12 5 18 25 1
32.741 35.872 10.181 13 5 18 25 1
32.741 35.872 10.181 14 5 18 25 1
32.741 35.872 10.181 15 5 18 25 1
21.084 85.761 243.412 16 5 18 46 1
337.952 156.456 36.702 17 5 18 24 1
337.952 156.456 36.702 18 5 18 24 1
337.952 156.456 36.702 19 5 18 24 1
337.952 156.456 36.702 20 5 18 24 1
134.113 92.523 201.119 1 6 18 36 1
134.113 92.523 201.119 2 6 18 36 1
134.113 92.523 201.119 3 6 18 36 1
134.113 92.523 201.119 4 6 18 36 1
134.113 92.523 201.119 5 6 18 36 1
263.722 37.538 64.597 6 6 18 10 1
263.722 37.538 64.597 7 6 18 10 1
206.865 60.889 308.280 8 6 18 43 1
206.865 60.889 308.280 9 6 18 43 1
206.865 60.889 308.280 10 6 18 43 1
206.865 60.889 308.280 11 6 18 43 1
32.741 35.872 10.181 12 6 18 25 1
32.741 35.872 10.181 13 6 18 25 1
32.741 35.872 10.181 14 6 18 25 1
32.741 35.872 10.181 15 6 18 25 1
337.952 156.456 36.702 16 6 18 24 1
337.952 156.456 36.702 17 6 18 24 1
337.952 156.456 36.702 18 6 18 24 1
337.952 156.456 36.702 19 6 18 24 1
337.952 156.456 36.702 20 6 18 24 1
134.113 92.523 201.119 1 7 18 36 1
134.113 92.523 201.119 2 7 18 36 1
134.113 92.523 201.119 3 7 18 36 1
134.113 92.523 201.119 4 7 18 36 1
263.722 37.538 64.597 5 7 18 10 1
263.722 37.538 64.597 6 7 18 10 1
263.722 37.538 64.597 7 7 18 10 1
206.865 60.889 308.280 8 7 18 43 1
206.865 60.889 308.280 9 7 18 43 1
206.865 60.889 308.280 10 7 18 43 1
206.865 60.889 308.280 11 7 18 43 1
206.865 60.889 308.280 12 7 18 43 1
32.741 35.872 10.181 13 7 18 25 1
32.741 35.872 10.181 14 7 18 25 1
32.741 35.872 10.181 15 7 18 25 1
337.952 156.456 36.702 16 7 18 24 1
337.952 156.456 36.702 17 7 18 24 1
337.952 156.456 36.702 18 7 18 24 1
337.952 156.456 36.702 19 7 18 24 1
337.952 156.456 36.702 20 7 18 24 1
134.113 92.523 201.119 1 8 18 36 1
134.113 92.523 201.119 2 8 18 36 1
134.113 92.523 201.119 3 8 18 36 1
134.113 92.523 201.119 4 8 18 36 1
263.722 37.538 64.597 5 8 18 10 1
263.722 37.538 64.597 6 8 18 10 1
263.722 37.538 64.597 7 8 18 10 1
263.722 37.538 64.597 8 8 18 10 1
206.865 60.889 308.280 9 8 18 43 1
206.865 60.889 308.280 10 8 18 43 1
206.865 60.889 308.280 11 8 18 43 1
206.865 60.889 308.280 12 8 18 43 1
32.741 35.872 10.181 13 8 18 25 1
32.741 35.872 10.181 14 8 18 25 1
337.952 156.456 36.702 15 8 18 24 1
337.952 156.456 36.702 16 8 18 24 1
337.952 156.456 36.702 17 8 18 24 1
337.952 156.456 36.702 18 8 18 24 1
337.952 156.456 36.702 19 8 18 24 1
337.952 156.456 36.702 20 8 18 24 1
134.113 92.523 201.119 1 9 18 36 1
134.113 92.523 201.119 2 9 18 36 1
134.113 92.523 201.119 3 9 18 36 1
134.113 92.523 201.119 4 9 18 36 1
263.722 37.538 64.597 5 9 18 10 1
263.722 37.538 64.597 6 9 18 10 1
263.722 37.538 64.597 7 9 18 10 1
263.722 37.538 64.597 8 9 18 10 1
206.865 60.889 308.280 9 9 18 43 1
206.865 60.889 308.280 10 9 18 43 1
206.865 60.889 308.280 11 9 18 43 1
206.865 60.889 308.280 12 9 18 43 1
32.741 35.872 10.181 13 9 18 25 1
111.594 70.700 44.838 14 9 18 20 1
337.952 156.456 36.702 15 9 18 24 1
337.952 156.456 36.702 16 9 18 24 1
337.952 156.456 36.702 17 9 18 24 1
337.952 156.456 36.702 18 9 18 24 1
337.952 156.456 36.702 19 9 18 24 1
337.952 156.456 36.702 20 9 18 24 1
195.836 46.286 27.037 1 10 18 34 1
195.836 46.286 27.037 2 10 18 34 1
195.836 46.286 27.037 3 10 18 34 1
195.836 46.286 27.037 4 10 18 34 1
263.722 37.538 64.597 5 10 18 10 1
263.722 37.538 64.597 6 10 18 10 1
263.722 37.538 64.597 7 10 18 10 1
61.871 127.308 31.203 8 10 18 16 1
61.871 127.308 31.203 9 10 18 16 1
61.871 127.308 31.203 10 10 18 16 1
206.865 60.889 308.280 11 10 18 43 1
206.865 60.889 308.280 12 10 18 43 1
111.594 70.700 44.838 13 10 18 20 1
111.594 70.700 44.838 14 10 18 20 1
313.941 133.588 281.173 15 10 18 31 1
313.941 133.588 281.173 16 10 18 31 1
313.941 133.588 281.173 17 10 18 31 1
313.941 133.588 281.173 18 10 18 31 1
313.941 133.588 281.173 19 10 18 31 1
313.941 133.588 281.173 20 10 18 31 1
174.974 118.636 115.906 1 11 18 18 1
174.974 118.636 115.906 2 11 18 18 1
174.974 118.636 115.906 3 11 18 18 1
174.974 118.636 115.906 4 11 18 18 1
174.974 118.636 115.906 5 11 18 18 1
61.871 127.308 31.203 6 11 18 16 1
61.871 127.308 31.203 7 11 18 16 1
61.871 127.308 31.203 8 11 18 16 1
61.871 127.308 31.203 9 11 18 16 1
61.871 127.308 31.203 10 11 18 16 1
61.871 127.308 31.203 11 11 18 16 1
111.594 70.700 44.838 12 11 18 20 1
111.594 70.700 44.838 13 11 18 20 1
313.941 133.588 281.173 14 11 18 31 1
313.941 133.588 281.173 15 11 18 31 1
313.941 133.588 281.173 16 11 18 31 1
313.941 133.588 281.173 17 11 18 31 1
313.941 133.588 281.173 18 11 18 31 1
313.941 133.588 281.173 19 11 18 31 1
313.941 133.588 281.173 20 11 18 31 1
174.974 118.636 115.906 1 12 18 18 1
174.974 118.636 115.906 2 12 18 18 1
174.974 118.636 115.906 3 12 18 18 1
174.974 118.636 115.906 4 12 18 18 1
174.974 118.636 115.906 5 12 18 18 1
61.871 127.308 31.203 6 12 18 16 1
61.871 127.308 31.203 7 12 18 16 1
61.871 127.308 31.203 8 12 18 16 1
61.871 127.308 31.203 9 12 18 16 1
61.871 127.308 31.203 10 12 18 16 1
61.871 127.308 31.203 11 12 18 16 1
111.594 70.700 44.838 12 12 18 20 1
111.594 70.700 44.838 13 12 18 20 1
313.941 133.588 281.173 14 12 18 31 1
313.941 133.588 281.173 15 12 18 31 1
313.941 133.588 281.173 16 12 18 31 1
313.941 133.588 281.173 17 12 18 31 1
313.941 133.588 281.173 18 12 18 31 1
313.941 133.588 281.173 19 12 18 31 1
313.941 133.588 281.173 20 12 18 31 1
174.974 118.636 115.906 1 13 18 18 1
174.974 118.636 115.906 2 13 18 18 1
174.974 118.636 115.906 3 13 18 18 1
174.974 118.636 115.906 4 13 18 18 1
174.974 118.636 115.906 5 13 18 18 1
174.974 118.636 115.906 6 13 18 18 1
61.871 127.308 31.203 7 13 18 16 1
61.871 127.308 31.203 8 13 18 16 1
61.871 127.308 31.203 9 13 18 16 1
61.871 127.308 31.203 10 13 18 16 1
61.871 127.308 31.203 11 13 18 16 1
61.871 127.308 31.203 12 13 18 16 1
313.941 133.588 281.173 13 13 18 31 1
313.941 133.588 281.173 14 13 18 31 1
313.941 133.588 281.173 15 13 18 31 1
313.941 133.588 281.173 16 13 18 31 1
313.941 133.588 281.173 17 13 18 31 1
313.941 133.588 281.173 18 13 18 31 1
313.941 133.588 281.173 19 13 18 31 1
313.941 133.588 281.173 20 13 18 31 1
174.974 118.636 115.906 1 14 18 18 1
174.974 118.636 115.906 2 14 18 18 1
174.974 118.636 115.906 3 14 18 18 1
174.974 118.636 115.906 4 14 18 18 1
174.974 118.636 115.906 5 14 18 18 1
174.974 118.636 115.906 6 14 18 18 1
61.871 127.308 31.203 7 14 18 16 1
61.871 127.308 31.203 8 14 18 16 1
61.871 127.308 31.203 9 14 18 16 1
61.871 127.308 31.203 10 14 18 16 1
61.871 127.308 31.203 11 14 18 16 1
193.199 106.176 102.671 12 14 18 29 1
313.941 133.588 281.173 13 14 18 31 1
313.941 133.588 281.173 14 14 18 31 1
313.941 133.588 281.173 15 14 18 31 1
313.941 133.588 281.173 16 14 18 31 1
313.941 133.588 281.173 17 14 18 31 1
313.941 133.588 281.173 18 14 18 31 1
313.941 133.588 281.173 19 14 18 31 1
313.941 133.588 281.173 20 14 18 31 1
174.974 118.636 115.906 1 15 18 18 1
174.974 118.636 115.906 2 15 18 18 1
174.974 118.636 115.906 3 15 18 18 1
174.974 118.636 115.906 4 15 18 18 1
174.974 118.636 115.906 5 15 18 18 1
174.974 118.636 115.906 6 15 18 18 1
61.871 127.308 31.203 7 15 18 16 1
61.871 127.308 31.203 8 15 18 16 1
61.871 127.308 31.203 9 15 18 16 1
61.871 127.308 31.203 10 15 18 16 1
193.199 106.176 102.671 11 15 18 29 1
193.199 106.176 102.671 12 15 18 29 1
313.941 133.588 281.173 13 15 18 31 1
313.941 133.588 281.173 14 15 18 31 1
313.941 133.588 281.173 15 15 18 31 1
313.941 133.588 281.173 16 15 18 31 1
313.941 133.588 281.173 17 15 18 31 1
313.941 133.588 281.173 18 15 18 31 1
313.941 133.588 281.173 19 15 18 31 1
313.941 133.588 281.173 20 15 18 31 1
174.974 118.636 115.906 1 16 18 18 1
174.974 118.636 115.906 2 16 18 18 1
174.974 118.636 115.906 3 16 18 18 1
174.974 118.636 115.906 4 16 18 18 1
174.974 118.636 115.906 5 16 18 18 1
174.974 118.636 115.906 6 16 18 18 1
174.974 118.636 115.906 7 16 18 18 1
223.840 69.973 177.562 8 16 18 37 1
223.840 69.973 177.562 9 16 18 37 1
193.199 106.176 102.671 10 16 18 29 1
193.199 106.176 102.671 11 16 18 29 1
193.199 106.176 102.671 12 16 18 29 1
313.941 133.588 281.173 13 16 18 31 1
313.941 133.588 281.173 14 16 18 31 1
313.941 133.588 281.173 15 16 18 31 1
313.941 133.588 281.173 16 16 18 31 1
313.941 133.588 281.173 17 16 18 31 1
313.941 133.588 281.173 18 16 18 31 1
313.941 133.588 281.173 19 16 18 31 1
313.941 133.588 281.173 20 16 18 31 1
174.974 118.636 115.906 1 17 18 18 1
174.974 118.636 115.906 2 17 18 18 1
174.974 118.636 115.906 3 17 18 18 1
174.974 118.636 115.906 4 17 18 18 1
174.974 118.636 115.906 5 17 18 18 1
174.974 118.636 115.906 6 17 18 18 1
223.840 69.973 177.562 7 17 18 37 1
223.840 69.973 177.562 8 17 18 37 1
223.840 69.973 177.562 9 17 18 37 1
223.840 69.973 177.562 10 17 18 37 1
223.840 69.973 177.562 11 17 18 37 1
193.199 106.176 102.671 12 17 18 29 1
193.199 106.176 102.671 13 17 18 29 1
313.941 133.588 281.173 14 17 18 31 1
313.941 133.588 281.173 15 17 18 31 1
313.941 133.588 281.173 16 17 18 31 1
313.941 133.588 281.173 17 17 18 31 1
313.941 133.588 281.173 18 17 18 31 1
313.941 133.588 281.173 19 17 18 31 1
313.941 133.588 281.173 20 17 18 31 1
174.974 118.636 115.906 1 18 18 18 1
174.974 118.636 115.906 2 18 18 18 1
174.974 118.636 115.906 3 18 18 18 1
174.974 118.636 115.906 4 18 18 18 1
223.840 69.973 177.562 5 18 18 37 1
223.840 69.973 177.562 6 18 18 37 1
223.840 69.973 177.562 7 18 18 37 1
223.840 69.973 177.562 8 18 18 37 1
223.840 69.973 177.562 9 18 18 37 1
223.840 69.973 177.562 10 18 18 37 1
223.840 69.973 177.562 11 18 18 37 1
223.840 69.973 177.562 12 18 18 37 1
223.840 69.973 177.562 13 18 18 37 1
313.941 133.588 281.173 14 18 18 31 1
313.941 133.588 281.173 15 18 18 31 1
313.941 133.588 281.173 16 18 18 31 1
147.237 136.696 99.729 17 18 18 9 1
147.237 136.696 99.729 18 18 18 9 1
147.237 136.696 99.729 19 18 18 9 1
313.941 133.588 281.173 20 18 18 31 1
174.974 118.636 115.906 1 19 18 18 1
174.974 118.636 115.906 2 19 18 18 1
174.974 118.636 115.906 3 19 18 18 1
140.911 146.459 236.524 4 19 18 28 1
223.840 69.973 177.562 5 19 18 37 1
223.840 69.973 177.562 6 19 18 37 1
223.840 69.973 177.562 7 19 18 37 1
223.840 69.973 177.562 8 19 18 37 1
223.840 69.973 177.562 9 19 18 37 1
223.840 69.973 177.562 10 19 18 37 1
223.840 69.973 177.562 11 19 18 37 1
223.840 69.973 177.562 12 19 18 37 1
223.840 69.973 177.562 13 19 18 37 1
147.237 136.696 99.729 14 19 18 9 1
147.237 136.696 99.729 15 19 18 9 1
147.237 136.696 99.729 16 19 18 9 1
147.237 136.696 99.729 17 19 18 9 1
147.237 136.696 99.729 18 19 18 9 1
147.237 136.696 99.729 19 19 18 9 1
147.237 136.696 99.729 20 19 18 9 1
140.911 146.459 236.524 1 20 18 28 1
140.911 146.459 236.524 2 20 18 28 1
140.911 146.459 236.524 3 20 18 28 1
140.911 146.459 236.524 4 20 18 28 1
223.840 69.973 177.562 5 20 18 37 1
223.840 69.973 177.562 6 20 18 37 1
223.840 69.973 177.562 7 20 18 37 1
223.840 69.973 177.562 8 20 18 37 1
223.840 69.973 177.562 9 20 18 37 1
223.840 69.973 177.562 10 20 18 37 1
223.840 69.973 177.562 11 20 18 37 1
223.840 69.973 177.562 12 20 18 37 1
223.840 69.973 177.562 13 20 18 37 1
147.237 136.696 99.729 14 20 18 9 1
147.237 136.696 99.729 15 20 18 9 1
147.237 136.696 99.729 16 20 18 9 1
147.237 136.696 99.729 17 20 18 9 1
147.237 136.696 99.729 18 20 18 9 1
147.237 136.696 99.729 19 20 18 9 1
147.237 136.696 99.729 20 20 18 9 1
29.107 41.050 111.993 1 1 19 12 1
29.107 41.050 111.993 2 1 19 12 1
29.107 41.050 111.993 3 1 19 12 1
29.107 41.050 111.993 4 1 19 12 1
29.107 41.050 111.993 5 1 19 12 1
29.107 41.050 111.993 6 1 19 12 1
29.107 41.050 111.993 7 1 19 12 1
29.107 41.050 111.993 8 1 19 12 1
29.107 41.050 111.993 9 1 19 12 1
29.107 41.050 111.993 10 1 19 12 1
32.741 35.872 10.181 11 1 19 25 1
21.084 85.761 243.412 12 1 19 46 1
21.084 85.761 243.412 13 1 19 46 1
21.084 85.761 243.412 14 1 19 46 1
21.084 85.761 243.412 15 1 19 46 1
21.084 85.761 243.412 16 1 19 46 1
21.084 85.761 243.412 17 1 19 46 1
21.084 85.761 243.412 18 1 19 46 1
62.280 67.002 307.632 19 1 19 35 1
62.280 67.002 307.632 20 1 19 35 1
29.107 41.050 111.993 1 2 19 12 1
29.107 41.050 111.993 2 2 19 12 1
29.107 41.050 111.993 3 2 19 12 1
29.107 41.050 111.993 4 2 19 12 1
29.107 41.050 111.993 5 2 19 12 1
29.107 41.050 111.993 6 2 19 12 1
29.107 41.050 111.993 7 2 19 12 1
29.107 41.050 111.993 8 2 19 12 1
29.107 41.050 111.993 9 2 19 12 1
32.741 35.872 10.181 10 2 19 25 1
32.741 35.872 10.181 11 2 19 25 1
32.741 35.872 10.181 12 2 19 25 1
32.741 35.872 10.181 13 2 19 25 1
21.084 85.761 243.412 14 2 19 46 1
21.084 85.761 243.412 15 2 19 46 1
21.084 85.761 243.412 16 2 19 46 1
21.084 85.761 243.412 17 2 19 46 1
21.084 85.761 243.412 18 2 19 46 1
62.280 67.002 307.632 19 2 19 35 1
62.280 67.002 307.632 20 2 19 35 1
134.113 92.523 201.119 1 3 19 36 1
134.113 92.523 201.119 2 3 19 36 1
29.107 41.050 111.993 3 3 19 12 1
29.107 41.050 111.993 4 3 19 12 1
29.107 41.050 111.993 5 3 19 12 1
29.107 41.050 111.993 6 3 19 12 1
29.107 41.050 111.993 7 3 19 12 1
29.107 41.050 111.993 8 3 19 12 1
29.107 41.050 111.993 9 3 19 12 1
32.741 35.872 10.181 10 3 19 25 1
32.741 35.872 10.181 11 3 19 25 1
32.741 35.872 10.181 12 3 19 25 1
32.741 35.872 10.181 13 3 19 25 1
21.084 85.761 243.412 14 3 19 46 1
21.084 85.761 243.412 15 3 19 46 1
21.084 85.761 243.412 16 3 19 46 1
21.084 85.761 243.412 17 3 19 46 1
21.084 85.761 243.412 18 3 19 46 1
62.280 67.002 307.632 19 3 19 35 1
62.280 67.002 307.632 20 3 19 35 1
134.113 92.523 201.119 1 4 19 36 1
134.113 92.523 201.119 2 4 19 36 1
134.113 92.523 201.119 3 4 19 36 1
134.113 92.523 201.119 4 4 19 36 1
29.107 41.050 111.993 5 4 19 12 1
29.107 41.050 111.993 6 4 19 12 1
29.107 41.050 111.993 7 4 19 12 1
29.107 41.050 111.993 8 4 19 12 1
29.107 41.050 111.993 9 4 19 12 1
32.741 35.872 10.181 10 4 19 25 1
32.741 35.872 10.181 11 4 19 25 1
32.741 35.872 10.181 12 4 19 25 1
32.741 35.872 10.181 13 4 19 25 1
32.741 35.872 10.181 14 4 19 25 1
21.084 85.761 243.412 15 4 19 46 1
21.084 85.761 243.412 16 4 19 46 1
21.084 85.761 243.412 17 4 19 46 1
21.084 85.761 243.412 18 4 19 46 1
21.084 85.761 243.412 19 4 19 46 1
62.280 67.002 307.632 20 4 19 35 1
134.113 92.523 201.119 1 5 19 36 1
134.113 92.523 201.119 2 5 19 36 1
134.113 92.523 201.119 3 5 19 36 1
134.113 92.523 201.119 4 5 19 36 1
134.113 92.523 201.119 5 5 19 36 1
263.722 37.538 64.597 6 5 19 10 1
29.107 41.050 111.993 7 5 19 12 1
29.107 41.050 111.993 8 5 19 12 1
206.865 60.889 308.280 9 5 19 43 1
206.865 60.889 308.280 10 5 19 43 1
32.741 35.872 10.181 11 5 19 25 1
32.741 35.872 10.181 12 5 19 25 1
32.741 35.872 10.181 13 5 19 25 1
32.741 35.872 10.181 14 5 19 25 1
21.084 85.761 243.412 15 5 19 46 1
21.084 85.761 243.412 16 5 19 46 1
21.084 85.761 243.412 17 5 19 46 1
337.952 156.456 36.702 18 5 19 24 1
337.952 156.456 36.702 19 5 19 24 1
337.952 156.456 36.702 20 5 19 24 1
134.113 92.523 201.119 1 6 19 36 1
134.113 92.523 201.119 2 6 19 36 1
134.113 92.523 201.119 3 6 19 36 1
134.113 92.523 201.119 4 6 19 36 1
134.113 92.523 201.119 5 6 19 36 1
263.722 37.538 64.597 6 6 19 10 1
263.722 37.538 64.597 7 6 19 10 1
263.722 37.538 64.597 8 6 19 10 1
206.865 60.889 308.280 9 6 19 43 1
206.865 60.889 308.280 10 6 19 43 1
32.741 35.872 10.181 11 6 19 25 1
32.741 35.872 10.181 12 6 19 25 1
32.741 35.872 10.181 13 6 19 25 1
32.741 35.872 10.181 14 6 19 25 1
32.741 35.872 10.181 15 6 19 25 1
337.952 156.456 36.702 16 6 19 24 1
337.952 156.456 36.702 17 6 19 24 1
337.952 156.456 36.702 18 6 19 24 1
337.952 156.456 36.702 19 6 19 24 1
337.952 156.456 36.702 20 6 19 24 1
134.113 92.523 201.119 1 7 19 36 1
134.113 92.523 201.119 2 7 19 36 1
134.113 92.523 201.119 3 7 19 36 1
134.113 92.523 201.119 4 7 19 36 1
263.722 37.538 64.597 5 7 19 10 1
263.722 37.538 64.597 6 7 19 10 1
263.722 37.538 64.597 7 7 19 10 1
263.722 37.538 64.597 8 7 19 10 1
263.722 37.538 64.597 9 7 19 10 1
206.865 60.889 308.280 10 7 19 43 1
206.865 60.889 308.280 11 7 19 43 1
206.865 60.889 308.280 12 7 19 43 1
32.741 35.872 10.181 13 7 19 25 1
32.741 35.872 10.181 14 7 19 25 1
337.952 156.456 36.702 15 7 19 24 1
337.952 156.456 36.702 16 7 19 24 1
337.952 156.456 36.702 17 7 19 24 1
337.952 156.456 36.702 18 7 19 24 1
337.952 156.456 36.702 19 7 19 24 1
337.952 156.456 36.702 20 7 19 24 1
134.113 92.523 201.119 1 8 19 36 1
134.113 92.523 201.119 2 8 19 36 1
134.113 92.523 201.119 3 8 19 36 1
134.113 92.523 201.119 4 8 19 36 1
263.722 37.538 64.597 5 8 19 10 1
263.722 37.538 64.597 6 8 19 10 1
263.722 37.538 64.597 7 8 19 10 1
263.722 37.538 64.597 8 8 19 10 1
263.722 37.538 64.597 9 8 19 10 1
206.865 60.889 308.280 10 8 19 43 1
206.865 60.889 308.280 11 8 19 43 1
206.865 60.889 308.280 12 8 19 43 1
32.741 35.872 10.181 13 8 19 25 1
32.741 35.872 10.181 14 8 19 25 1
337.952 156.456 36.702 15 8 19 24 1
337.952 156.456 36.702 16 8 19 24 1
337.952 156.456 36.702 17 8 19 24 1
337.952 156.456 36.702 18 8 19 24 1
337.952 156.456 36.702 19 8 19 24 1
337.952 156.456 36.702 20 8 19 24 1
134.113 92.523 201.119 1 9 19 36 1
134.113 92.523 201.119 2 9 19 36 1
134.113 92.523 201.119 3 9 19 36 1
134.113 92.523 201.119 4 9 19 36 1
263.722 37.538 64.597 5 9 19 10 1
263.722 37.538 64.597 6 9 19 10 1
263.722 37.538 64.597 7 9 19 10 1
263.722 37.538 64.597 8 9 19 10 1
263.722 37.538 64.597 9 9 19 10 1
263.722 37.538 64.597 10 9 19 10 1
206.865 60.889 308.280 11 9 19 43 1
206.865 60.889 308.280 12 9 19 43 1
32.741 35.872 10.181 13 9 19 25 1
111.594 70.700 44.838 14 9 19 20 1
337.952 156.456 36.702 15 9 19 24 1
337.952 156.456 36.702 16 9 19 24 1
337.952 156.456 36.702 17 9 19 24 1
337.952 156.456 36.702 18 9 19 24 1
337.952 156.456 36.702 19 9 19 24 1
337.952 156.456 36.702 20 9 19 24 1
134.113 92.523 201.119 1 10 19 36 1
134.113 92.523 201.119 2 10 19 36 1
134.113 92.523 201.119 3 10 19 36 1
263.722 37.538 64.597 4 10 19 10 1
263.722 37.538 64.597 5 10 19 10 1
263.722 37.538 64.597 6 10 19 10 1
263.722 37.538 64.597 7 10 19 10 1
263.722 37.538 64.597 8 10 19 10 1
263.722 37.538 64.597 9 10 19 10 1
263.722 37.538 64.597 10 10 19 10 1
206.865 60.889 308.280 11 10 19 43 1
206.865 60.889 308.280 12 10 19 43 1
313.941 133.588 281.173 13 10 19 31 1
313.941 133.588 281.173 14 10 19 31 1
313.941 133.588 281.173 15 10 19 31 1
313.941 133.588 281.173 16 10 19 31 1
313.941 133.588 281.173 17 10 19 31 1
313.941 133.588 281.173 18 10 19 31 1
313.941 133.588 281.173 19 10 19 31 1
313.941 133.588 281.173 20 10 19 31 1
174.974 118.636 115.906 1 11 19 18 1
174.974 118.636 115.906 2 11 19 18 1
174.974 118.636 115.906 3 11 19 18 1
174.974 118.636 115.906 4 11 19 18 1
263.722 37.538 64.597 5 11 19 10 1
263.722 37.538 64.597 6 11 19 10 1
263.722 37.538 64.597 7 11 19 10 1
263.722 37.538 64.597 8 11 19 10 1
61.871 127.308 31.203 9 11 19 16 1
61.871 127.308 31.203 10 11 19 16 1
61.871 127.308 31.203 11 11 19 16 1
313.941 133.588 281.173 12 11 19 31 1
313.941 133.588 281.173 13 11 19 31 1
313.941 133.588 281.173 14 11 19 31 1
313.941 133.588 281.173 15 11 19 31 1
313.941 133.588 281.173 16 11 19 31 1
313.941 133.588 281.173 17 11 19 31 1
313.941 133.588 281.173 18 11 19 31 1
313.941 133.588 281.173 19 11 19 31 1
313.941 133.588 281.173 20 11 19 31 1
174.974 118.636 115.906 1 12 19 18 1
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174.974 118.636 115.906 3 12 19 18 1
174.974 118.636 115.906 4 12 19 18 1
174.974 118.636 115.906 5 12 19 18 1
174.974 118.636 115.906 6 12 19 18 1
61.871 127.308 31.203 7 12 19 16 1
61.871 127.308 31.203 8 12 19 16 1
61.871 127.308 31.203 9 12 19 16 1
61.871 127.308 31.203 10 12 19 16 1
61.871 127.308 31.203 11 12 19 16 1
313.941 133.588 281.173 12 12 19 31 1
313.941 133.588 281.173 13 12 19 31 1
313.941 133.588 281.173 14 12 19 31 1
313.941 133.588 281.173 15 12 19 31 1
313.941 133.588 281.173 16 12 19 31 1
313.941 133.588 281.173 17 12 19 31 1
313.941 133.588 281.173 18 12 19 31 1
313.941 133.588 281.173 19 12 19 31 1
313.941 133.588 281.173 20 12 19 31 1
174.974 118.636 115.906 1 13 19 18 1
174.974 118.636 115.906 2 13 19 18 1
174.974 118.636 115.906 3 13 19 18 1
174.974 118.636 115.906 4 13 19 18 1
174.974 118.636 115.906 5 13 19 18 1
174.974 118.636 115.906 6 13 19 18 1
61.871 127.308 31.203 7 13 19 16 1
61.871 127.308 31.203 8 13 19 16 1
61.871 127.308 31.203 9 13 19 16 1
61.871 127.308 31.203 10 13 19 16 1
61.871 127.308 31.203 11 13 19 16 1
313.941 133.588 281.173 12 13 19 31 1
313.941 133.588 281.173 13 13 19 31 1
313.941 133.588 281.173 14 13 19 31 1
313.941 133.588 281.173 15 13 19 31 1
313.941 133.588 281.173 16 13 19 31 1
313.941 133.588 281.173 17 13 19 31 1
313.941 133.588 281.173 18 13 19 31 1
313.941 133.588 281.173 19 13 19 31 1
313.941 133.588 281.173 20 13 19 31 1
174.974 118.636 115.906 1 14 19 18 1
174.974 118.636 115.906 2 14 19 18 1
174.974 118.636 115.906 3 14 19 18 1
174.974 118.636 115.906 4 14 19 18 1
174.974 118.636 115.906 5 14 19 18 1
174.974 118.636 115.906 6 14 19 18 1
61.871 127.308 31.203 7 14 19 16 1
61.871 127.308 31.203 8 14 19 16 1
61.871 127.308 31.203 9 14 19 16 1
61.871 127.308 31.203 10 14 19 16 1
61.871 127.308 31.203 11 14 19 16 1
313.941 133.588 281.173 12 14 19 31 1
313.941 133.588 281.173 13 14 19 31 1
313.941 133.588 281.173 14 14 19 31 1
313.941 133.588 281.173 15 14 19 31 1
313.941 133.588 281.173 16 14 19 31 1
313.941 133.588 281.173 17 14 19 31 1
313.941 133.588 281.173 18 14 19 31 1
313.941 133.588 281.173 19 14 19 31 1
313.941 133.588 281.173 20 14 19 31 1
174.974 118.636 115.906 1 15 19 18 1
174.974 118.636 115.906 2 15 19 18 1
174.974 118.636 115.906 3 15 19 18 1
174.974 118.636 115.906 4 15 19 18 1
174.974 118.636 115.906 5 15 19 18 1
174.974 118.636 115.906 6 15 19 18 1
174.974 118.636 115.906 7 15 19 18 1
61.871 127.308 31.203 8 15 19 16 1
61.871 127.308 31.203 9 15 19 16 1
61.871 127.308 31.203 10 15 19 16 1
193.199 106.176 102.671 11 15 19 29 1
313.941 133.588 281.173 12 15 19 31 1
313.941 133.588 281.173 13 15 19 31 1
313.941 133.588 281.173 14 15 19 31 1
313.941 133.588 281.173 15 15 19 31 1
313.941 133.588 281.173 16 15 19 31 1
313.941 133.588 281.173 17 15 19 31 1
313.941 133.588 281.173 18 15 19 31 1
313.941 133.588 281.173 19 15 19 31 1
313.941 133.588 281.173 20 15 19 31 1
174.974 118.636 115.906 1 16 19 18 1
174.974 118.636 115.906 2 16 19 18 1
174.974 118.636 115.906 3 16 19 18 1
174.974 118.636 115.906 4 16 19 18 1
174.974 118.636 115.906 5 16 19 18 1
174.974 118.636 115.906 6 16 19 18 1
174.974 118.636 115.906 7 16 19 18 1
223.840 69.973 177.562 8 16 19 37 1
223.840 69.973 177.562 9 16 19 37 1
223.840 69.973 177.562 10 16 19 37 1
223.840 69.973 177.562 11 16 19 37 1
313.941 133.588 281.173 12 16 19 31 1
313.941 133.588 281.173 13 16 19 31 1
313.941 133.588 281.173 14 16 19 31 1
313.941 133.588 281.173 15 16 19 31 1
313.941 133.588 281.173 16 16 19 31 1
313.941 133.588 281.173 17 16 19 31 1
313.941 133.588 281.173 18 16 19 31 1
313.941 133.588 281.173 19 16 19 31 1
313.941 133.588 281.173 20 16 19 31 1
174.974 118.636 115.906 1 17 19 18 1
174.974 118.636 115.906 2 17 19 18 1
174.974 118.636 115.906 3 17 19 18 1
174.974 118.636 115.906 4 17 19 18 1
174.974 118.636 115.906 5 17 19 18 1
223.840 69.973 177.562 6 17 19 37 1
223.840 69.973 177.562 7 17 19 37 1
223.840 69.973 177.562 8 17 19 37 1
223.840 69.973 177.562 9 17 19 37 1
223.840 69.973 177.562 10 17 19 37 1
223.840 69.973 177.562 11 17 19 37 1
223.840 69.973 177.562 12 17 19 37 1
313.941 133.588 281.173 13 17 19 31 1
313.941 133.588 281.173 14 17 19 31 1
313.941 133.588 281.173 15 17 19 31 1
313.941 133.588 281.173 16 17 19 31 1
313.941 133.588 281.173 17 17 19 31 1
313.941 133.588 281.173 18 17 19 31 1
313.941 133.588 281.173 19 17 19 31 1
313.941 133.588 281.173 20 17 19 31 1
174.974 118.636 115.906 1 18 19 18 1
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174.974 118.636 115.906 3 18 19 18 1
174.974 118.636 115.906 4 18 19 18 1
223.840 69.973 177.562 5 18 19 37 1
223.840 69.973 177.562 6 18 19 37 1
223.840 69.973 177.562 7 18 19 37 1
223.840 69.973 177.562 8 18 19 37 1
223.840 69.973 177.562 9 18 19 37 1
223.840 69.973 177.562 10 18 19 37 1
223.840 69.973 177.562 11 18 19 37 1
223.840 69.973 177.562 12 18 19 37 1
223.840 69.973 177.562 13 18 19 37 1
147.237 136.696 99.729 14 18 19 9 1
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147.237 136.696 99.729 16 18 19 9 1
147.237 136.696 99.729 17 18 19 9 1
147.237 136.696 99.729 18 18 19 9 1
147.237 136.696 99.729 19 18 19 9 1
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174.974 118.636 115.906 1 19 19 18 1
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223.840 69.973 177.562 4 19 19 37 1
223.840 69.973 177.562 5 19 19 37 1
223.840 69.973 177.562 6 19 19 37 1
223.840 69.973 177.562 7 19 19 37 1
223.840 69.973 177.562 8 19 19 37 1
223.840 69.973 177.562 9 19 19 37 1
223.840 69.973 177.562 10 19 19 37 1
223.840 69.973 177.562 11 19 19 37 1
223.840 69.973 177.562 12 19 19 37 1
223.840 69.973 177.562 13 19 19 37 1
147.237 136.696 99.729 14 19 19 9 1
147.237 136.696 99.729 15 19 19 9 1
147.237 136.696 99.729 16 19 19 9 1
147.237 136.696 99.729 17 19 19 9 1
147.237 136.696 99.729 18 19 19 9 1
147.237 136.696 99.729 19 19 19 9 1
147.237 136.696 99.729 20 19 19 9 1
174.974 118.636 115.906 1 20 19 18 1
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140.911 146.459 236.524 3 20 19 28 1
223.840 69.973 177.562 4 20 19 37 1
223.840 69.973 177.562 5 20 19 37 1
223.840 69.973 177.562 6 20 19 37 1
223.840 69.973 177.562 7 20 19 37 1
223.840 69.973 177.562 8 20 19 37 1
223.840 69.973 177.562 9 20 19 37 1
223.840 69.973 177.562 10 20 19 37 1
223.840 69.973 177.562 11 20 19 37 1
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147.237 136.696 99.729 13 20 19 9 1
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147.237 136.696 99.729 15 20 19 9 1
147.237 136.696 99.729 16 20 19 9 1
147.237 136.696 99.729 17 20 19 9 1
147.237 136.696 99.729 18 20 19 9 1
147.237 136.696 99.729 19 20 19 9 1
147.237 136.696 99.729 20 20 19 9 1
29.107 41.050 111.993 1 1 20 12 1
29.107 41.050 111.993 2 1 20 12 1
29.107 41.050 111.993 3 1 20 12 1
29.107 41.050 111.993 4 1 20 12 1
29.107 41.050 111.993 5 1 20 12 1
29.107 41.050 111.993 6 1 20 12 1
29.107 41.050 111.993 7 1 20 12 1
29.107 41.050 111.993 8 1 20 12 1
29.107 41.050 111.993 9 1 20 12 1
29.107 41.050 111.993 10 1 20 12 1
21.084 85.761 243.412 11 1 20 46 1
21.084 85.761 243.412 12 1 20 46 1
21.084 85.761 243.412 13 1 20 46 1
21.084 85.761 243.412 14 1 20 46 1
21.084 85.761 243.412 15 1 20 46 1
21.084 85.761 243.412 16 1 20 46 1
21.084 85.761 243.412 17 1 20 46 1
21.084 85.761 243.412 18 1 20 46 1
62.280 67.002 307.632 19 1 20 35 1
62.280 67.002 307.632 20 1 20 35 1
29.107 41.050 111.993 1 2 20 12 1
29.107 41.050 111.993 2 2 20 12 1
29.107 41.050 111.993 3 2 20 12 1
29.107 41.050 111.993 4 2 20 12 1
29.107 41.050 111.993 5 2 20 12 1
29.107 41.050 111.993 6 2 20 12 1
29.107 41.050 111.993 7 2 20 12 1
29.107 41.050 111.993 8 2 20 12 1
29.107 41.050 111.993 9 2 20 12 1
29.107 41.050 111.993 10 2 20 12 1
32.741 35.872 10.181 11 2 20 25 1
21.084 85.761 243.412 12 2 20 46 1
21.084 85.761 243.412 13 2 20 46 1
21.084 85.761 243.412 14 2 20 46 1
21.084 85.761 243.412 15 2 20 46 1
21.084 85.761 243.412 16 2 20 46 1
21.084 85.761 243.412 17 2 20 46 1
21.084 85.761 243.412 18 2 20 46 1
62.280 67.002 307.632 19 2 20 35 1
62.280 67.002 307.632 20 2 20 35 1
134.113 92.523 201.119 1 3 20 36 1
29.107 41.050 111.993 2 3 20 12 1
29.107 41.050 111.993 3 3 20 12 1
29.107 41.050 111.993 4 3 20 12 1
29.107 41.050 111.993 5 3 20 12 1
29.107 41.050 111.993 6 3 20 12 1
29.107 41.050 111.993 7 3 20 12 1
29.107 41.050 111.993 8 3 20 12 1
29.107 41.050 111.993 9 3 20 12 1
32.741 35.872 10.181 10 3 20 25 1
32.741 35.872 10.181 11 3 20 25 1
32.741 35.872 10.181 12 3 20 25 1
21.084 85.761 243.412 13 3 20 46 1
21.084 85.761 243.412 14 3 20 46 1
21.084 85.761 243.412 15 3 20 46 1
21.084 85.761 243.412 16 3 20 46 1
21.084 85.761 243.412 17 3 20 46 1
21.084 85.761 243.412 18 3 20 46 1
62.280 67.002 307.632 19 3 20 35 1
62.280 67.002 307.632 20 3 20 35 1
134.113 92.523 201.119 1 4 20 36 1
134.113 92.523 201.119 2 4 20 36 1
134.113 92.523 201.119 3 4 20 36 1
134.113 92.523 201.119 4 4 20 36 1
29.107 41.050 111.993 5 4 20 12 1
29.107 41.050 111.993 6 4 20 12 1
29.107 41.050 111.993 7 4 20 12 1
29.107 41.050 111.993 8 4 20 12 1
29.107 41.050 111.993 9 4 20 12 1
32.741 35.872 10.181 10 4 20 25 1
32.741 35.872 10.181 11 4 20 25 1
32.741 35.872 10.181 12 4 20 25 1
32.741 35.872 10.181 13 4 20 25 1
21.084 85.761 243.412 14 4 20 46 1
21.084 85.761 243.412 15 4 20 46 1
21.084 85.761 243.412 16 4 20 46 1
21.084 85.761 243.412 17 4 20 46 1
21.084 85.761 243.412 18 4 20 46 1
21.084 85.761 243.412 19 4 20 46 1
62.280 67.002 307.632 20 4 20 35 1
134.113 92.523 201.119 1 5 20 36 1
134.113 92.523 201.119 2 5 20 36 1
134.113 92.523 201.119 3 5 20 36 1
134.113 92.523 201.119 4 5 20 36 1
134.113 92.523 201.119 5 5 20 36 1
263.722 37.538 64.597 6 5 20 10 1
263.722 37.538 64.597 7 5 20 10 1
263.722 37.538 64.597 8 5 20 10 1
206.865 60.889 308.280 9 5 20 43 1
206.865 60.889 308.280 10 5 20 43 1
32.741 35.872 10.181 11 5 20 25 1
32.741 35.872 10.181 12 5 20 25 1
32.741 35.872 10.181 13 5 20 25 1
21.084 85.761 243.412 14 5 20 46 1
21.084 85.761 243.412 15 5 20 46 1
21.084 85.761 243.412 16 5 20 46 1
21.084 85.761 243.412 17 5 20 46 1
21.084 85.761 243.412 18 5 20 46 1
337.952 156.456 36.702 19 5 20 24 1
337.952 156.456 36.702 20 5 20 24 1
134.113 92.523 201.119 1 6 20 36 1
134.113 92.523 201.119 2 6 20 36 1
134.113 92.523 201.119 3 6 20 36 1
134.113 92.523 201.119 4 6 20 36 1
134.113 92.523 201.119 5 6 20 36 1
263.722 37.538 64.597 6 6 20 10 1
263.722 37.538 64.597 7 6 20 10 1
263.722 37.538 64.597 8 6 20 10 1
263.722 37.538 64.597 9 6 20 10 1
206.865 60.889 308.280 10 6 20 43 1
32.741 35.872 10.181 11 6 20 25 1
32.741 35.872 10.181 12 6 20 25 1
32.741 35.872 10.181 13 6 20 25 1
32.741 35.872 10.181 14 6 20 25 1
21.084 85.761 243.412 15 6 20 46 1
337.952 156.456 36.702 16 6 20 24 1
337.952 156.456 36.702 17 6 20 24 1
337.952 156.456 36.702 18 6 20 24 1
337.952 156.456 36.702 19 6 20 24 1
337.952 156.456 36.702 20 6 20 24 1
134.113 92.523 201.119 1 7 20 36 1
134.113 92.523 201.119 2 7 20 36 1
134.113 92.523 201.119 3 7 20 36 1
134.113 92.523 201.119 4 7 20 36 1
263.722 37.538 64.597 5 7 20 10 1
263.722 37.538 64.597 6 7 20 10 1
263.722 37.538 64.597 7 7 20 10 1
263.722 37.538 64.597 8 7 20 10 1
263.722 37.538 64.597 9 7 20 10 1
206.865 60.889 308.280 10 7 20 43 1
206.865 60.889 308.280 11 7 20 43 1
206.865 60.889 308.280 12 7 20 43 1
32.741 35.872 10.181 13 7 20 25 1
32.741 35.872 10.181 14 7 20 25 1
337.952 156.456 36.702 15 7 20 24 1
337.952 156.456 36.702 16 7 20 24 1
337.952 156.456 36.702 17 7 20 24 1
337.952 156.456 36.702 18 7 20 24 1
337.952 156.456 36.702 19 7 20 24 1
337.952 156.456 36.702 20 7 20 24 1
134.113 92.523 201.119 1 8 20 36 1
134.113 92.523 201.119 2 8 20 36 1
134.113 92.523 201.119 3 8 20 36 1
134.113 92.523 201.119 4 8 20 36 1
263.722 37.538 64.597 5 8 20 10 1
263.722 37.538 64.597 6 8 20 10 1
263.722 37.538 64.597 7 8 20 10 1
263.722 37.538 64.597 8 8 20 10 1
263.722 37.538 64.597 9 8 20 10 1
263.722 37.538 64.597 10 8 20 10 1
206.865 60.889 308.280 11 8 20 43 1
206.865 60.889 308.280 12 8 20 43 1
32.741 35.872 10.181 13 8 20 25 1
32.741 35.872 10.181 14 8 20 25 1
337.952 156.456 36.702 15 8 20 24 1
337.952 156.456 36.702 16 8 20 24 1
337.952 156.456 36.702 17 8 20 24 1
337.952 156.456 36.702 18 8 20 24 1
337.952 156.456 36.702 19 8 20 24 1
337.952 156.456 36.702 20 8 20 24 1
134.113 92.523 201.119 1 9 20 36 1
134.113 92.523 201.119 2 9 20 36 1
134.113 92.523 201.119 3 9 20 36 1
134.113 92.523 201.119 4 9 20 36 1
263.722 37.538 64.597 5 9 20 10 1
263.722 37.538 64.597 6 9 20 10 1
263.722 37.538 64.597 7 9 20 10 1
263.722 37.538 64.597 8 9 20 10 1
263.722 37.538 64.597 9 9 20 10 1
263.722 37.538 64.597 10 9 20 10 1
263.722 37.538 64.597 11 9 20 10 1
206.865 60.889 308.280 12 9 20 43 1
32.741 35.872 10.181 13 9 20 25 1
313.941 133.588 281.173 14 9 20 31 1
313.941 133.588 281.173 15 9 20 31 1
313.941 133.588 281.173 16 9 20 31 1
337.952 156.456 36.702 17 9 20 24 1
337.952 156.456 36.702 18 9 20 24 1
337.952 156.456 36.702 19 9 20 24 1
337.952 156.456 36.702 20 9 20 24 1
134.113 92.523 201.119 1 10 20 36 1
134.113 92.523 201.119 2 10 20 36 1
134.113 92.523 201.119 3 10 20 36 1
263.722 37.538 64.597 4 10 20 10 1
263.722 37.538 64.597 5 10 20 10 1
263.722 37.538 64.597 6 10 20 10 1
263.722 37.538 64.597 7 10 20 10 1
263.722 37.538 64.597 8 10 20 10 1
263.722 37.538 64.597 9 10 20 10 1
263.722 37.538 64.597 10 10 20 10 1
263.722 37.538 64.597 11 10 20 10 1
263.722 37.538 64.597 12 10 20 10 1
313.941 133.588 281.173 13 10 20 31 1
313.941 133.588 281.173 14 10 20 31 1
313.941 133.588 281.173 15 10 20 31 1
313.941 133.588 281.173 16 10 20 31 1
313.941 133.588 281.173 17 10 20 31 1
313.941 133.588 281.173 18 10 20 31 1
313.941 133.588 281.173 19 10 20 31 1
313.941 133.588 281.173 20 10 20 31 1
174.974 118.636 115.906 1 11 20 18 1
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174.974 118.636 115.906 4 11 20 18 1
263.722 37.538 64.597 5 11 20 10 1
263.722 37.538 64.597 6 11 20 10 1
263.722 37.538 64.597 7 11 20 10 1
263.722 37.538 64.597 8 11 20 10 1
263.722 37.538 64.597 9 11 20 10 1
263.722 37.538 64.597 10 11 20 10 1
263.722 37.538 64.597 11 11 20 10 1
313.941 133.588 281.173 12 11 20 31 1
313.941 133.588 281.173 13 11 20 31 1
313.941 133.588 281.173 14 11 20 31 1
313.941 133.588 281.173 15 11 20 31 1
313.941 133.588 281.173 16 11 20 31 1
313.941 133.588 281.173 17 11 20 31 1
313.941 133.588 281.173 18 11 20 31 1
313.941 133.588 281.173 19 11 20 31 1
313.941 133.588 281.173 20 11 20 31 1
174.974 118.636 115.906 1 12 20 18 1
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174.974 118.636 115.906 3 12 20 18 1
174.974 118.636 115.906 4 12 20 18 1
174.974 118.636 115.906 5 12 20 18 1
174.974 118.636 115.906 6 12 20 18 1
263.722 37.538 64.597 7 12 20 10 1
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61.871 127.308 31.203 9 12 20 16 1
61.871 127.308 31.203 10 12 20 16 1
61.871 127.308 31.203 11 12 20 16 1
313.941 133.588 281.173 12 12 20 31 1
313.941 133.588 281.173 13 12 20 31 1
313.941 133.588 281.173 14 12 20 31 1
313.941 133.588 281.173 15 12 20 31 1
313.941 133.588 281.173 16 12 20 31 1
313.941 133.588 281.173 17 12 20 31 1
313.941 133.588 281.173 18 12 20 31 1
313.941 133.588 281.173 19 12 20 31 1
313.941 133.588 281.173 20 12 20 31 1
174.974 118.636 115.906 1 13 20 18 1
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174.974 118.636 115.906 3 13 20 18 1
174.974 118.636 115.906 4 13 20 18 1
174.974 118.636 115.906 5 13 20 18 1
174.974 118.636 115.906 6 13 20 18 1
174.974 118.636 115.906 7 13 20 18 1
61.871 127.308 31.203 8 13 20 16 1
61.871 127.308 31.203 9 13 20 16 1
61.871 127.308 31.203 10 13 20 16 1
61.871 127.308 31.203 11 13 20 16 1
313.941 133.588 281.173 12 13 20 31 1
313.941 133.588 281.173 13 13 20 31 1
313.941 133.588 281.173 14 13 20 31 1
313.941 133.588 281.173 15 13 20 31 1
313.941 133.588 281.173 16 13 20 31 1
313.941 133.588 281.173 17 13 20 31 1
313.941 133.588 281.173 18 13 20 31 1
313.941 133.588 281.173 19 13 20 31 1
313.941 133.588 281.173 20 13 20 31 1
174.974 118.636 115.906 1 14 20 18 1
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174.974 118.636 115.906 3 14 20 18 1
174.974 118.636 115.906 4 14 20 18 1
174.974 118.636 115.906 5 14 20 18 1
174.974 118.636 115.906 6 14 20 18 1
174.974 118.636 115.906 7 14 20 18 1
61.871 127.308 31.203 8 14 20 16 1
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61.871 127.308 31.203 10 14 20 16 1
313.941 133.588 281.173 11 14 20 31 1
313.941 133.588 281.173 12 14 20 31 1
313.941 133.588 281.173 13 14 20 31 1
313.941 133.588 281.173 14 14 20 31 1
313.941 133.588 281.173 15 14 20 31 1
313.941 133.588 281.173 16 14 20 31 1
313.941 133.588 281.173 17 14 20 31 1
313.941 133.588 281.173 18 14 20 31 1
313.941 133.588 281.173 19 14 20 31 1
313.941 133.588 281.173 20 14 20 31 1
174.974 118.636 115.906 1 15 20 18 1
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174.974 118.636 115.906 3 15 20 18 1
174.974 118.636 115.906 4 15 20 18 1
174.974 118.636 115.906 5 15 20 18 1
174.974 118.636 115.906 6 15 20 18 1
174.974 118.636 115.906 7 15 20 18 1
174.974 118.636 115.906 8 15 20 18 1
223.840 69.973 177.562 9 15 20 37 1
223.840 69.973 177.562 10 15 20 37 1
223.840 69.973 177.562 11 15 20 37 1
313.941 133.588 281.173 12 15 20 31 1
313.941 133.588 281.173 13 15 20 31 1
313.941 133.588 281.173 14 15 20 31 1
313.941 133.588 281.173 15 15 20 31 1
313.941 133.588 281.173 16 15 20 31 1
313.941 133.588 281.173 17 15 20 31 1
313.941 133.588 281.173 18 15 20 31 1
313.941 133.588 281.173 19 15 20 31 1
313.941 133.588 281.173 20 15 20 31 1
174.974 118.636 115.906 1 16 20 18 1
174.974 118.636 115.906 2 16 20 18 1
174.974 118.636 115.906 3 16 20 18 1
174.974 118.636 115.906 4 16 20 18 1
174.974 118.636 115.906 5 16 20 18 1
174.974 118.636 115.906 6 16 20 18 1
223.840 69.973 177.562 7 16 20 37 1
223.840 69.973 177.562 8 16 20 37 1
223.840 69.973 177.562 9 16 20 37 1
223.840 69.973 177.562 10 16 20 37 1
223.840 69.973 177.562 11 16 20 37 1
313.941 133.588 281.173 12 16 20 31 1
313.941 133.588 281.173 13 16 20 31 1
313.941 133.588 281.173 14 16 20 31 1
313.941 133.588 281.173 15 16 20 31 1
313.941 133.588 281.173 16 16 20 31 1
313.941 133.588 281.173 17 16 20 31 1
313.941 133.588 281.173 18 16 20 31 1
313.941 133.588 281.173 19 16 20 31 1
313.941 133.588 281.173 20 16 20 31 1
174.974 118.636 115.906 1 17 20 18 1
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174.974 118.636 115.906 3 17 20 18 1
174.974 118.636 115.906 4 17 20 18 1
174.974 118.636 115.906 5 17 20 18 1
223.840 69.973 177.562 6 17 20 37 1
223.840 69.973 177.562 7 17 20 37 1
223.840 69.973 177.562 8 17 20 37 1
223.840 69.973 177.562 9 17 20 37 1
223.840 69.973 177.562 10 17 20 37 1
223.840 69.973 177.562 11 17 20 37 1
223.840 69.973 177.562 12 17 20 37 1
313.941 133.588 281.173 13 17 20 31 1
313.941 133.588 281.173 14 17 20 31 1
313.941 133.588 281.173 15 17 20 31 1
313.941 133.588 281.173 16 17 20 31 1
313.941 133.588 281.173 17 17 20 31 1
313.941 133.588 281.173 18 17 20 31 1
313.941 133.588 281.173 19 17 20 31 1
313.941 133.588 281.173 20 17 20 31 1
174.974 118.636 115.906 1 18 20 18 1
174.974 118.636 115.906 2 18 20 18 1
174.974 118.636 115.906 3 18 20 18 1
174.974 118.636 115.906 4 18 20 18 1
223.840 69.973 177.562 5 18 20 37 1
223.840 69.973 177.562 6 18 20 37 1
223.840 69.973 177.562 7 18 20 37 1
223.840 69.973 177.562 8 18 20 37 1
223.840 69.973 177.562 9 18 20 37 1
223.840 69.973 177.562 10 18 20 37 1
223.840 69.973 177.562 11 18 20 37 1
223.840 69.973 177.562 12 18 20 37 1
223.840 69.973 177.562 13 18 20 37 1
147.237 136.696 99.729 14 18 20 9 1
147.237 136.696 99.729 15 18 20 9 1
147.237 136.696 99.729 16 18 20 9 1
147.237 136.696 99.729 17 18 20 9 1
147.237 136.696 99.729 18 18 20 9 1
147.237 136.696 99.729 19 18 20 9 1
147.237 136.696 99.729 20 18 20 9 1
174.974 118.636 115.906 1 19 20 18 1
174.974 118.636 115.906 2 19 20 18 1
174.974 118.636 115.906 3 19 20 18 1
223.840 69.973 177.562 4 19 20 37 1
223.840 69.973 177.562 5 19 20 37 1
223.840 69.973 177.562 6 19 20 37 1
223.840 69.973 177.562 7 19 20 37 1
223.840 69.973 177.562 8 19 20 37 1
223.840 69.973 177.562 9 19 20 37 1
223.840 69.973 177.562 10 19 20 37 1
223.840 69.973 177.562 11 19 20 37 1
223.840 69.973 177.562 12 19 20 37 1
147.237 136.696 99.729 13 19 20 9 1
147.237 136.696 99.729 14 19 20 9 1
147.237 136.696 99.729 15 19 20 9 1
147.237 136.696 99.729 16 19 20 9 1
147.237 136.696 99.729 17 19 20 9 1
147.237 136.696 99.729 18 19 20 9 1
147.237 136.696 99.729 19 19 20 9 1
147.237 136.696 99.729 20 19 20 9 1
174.974 118.636 115.906 1 20 20 18 1
174.974 118.636 115.906 2 20 20 18 1
223.840 69.973 177.562 3 20 20 37 1
223.840 69.973 177.562 4 20 20 37 1
223.840 69.973 177.562 5 20 20 37 1
223.840 69.973 177.562 6 20 20 37 1
223.840 69.973 177.562 7 20 20 37 1
223.840 69.973 177.562 8 20 20 37 1
223.840 69.973 177.562 9 20 20 37 1
223.840 69.973 177.562 10 20 20 37 1
223.840 69.973 177.562 11 20 20 37 1
223.840 69.973 177.562 12 20 20 37 1
147.237 136.696 99.729 13 20 20 9 1
147.237 136.696 99.729 14 20 20 9 1
147.237 136.696 99.729 15 20 20 9 1
147.237 136.696 99.729 16 20 20 9 1
147.237 136.696 99.729 17 20 20 9 1
147.237 136.696 99.729 18 20 20 9 1
147.237 136.696 99.729 19 20 20 9 1
147.237 136.696 99.729 20 20 20 9 1
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_.xdmf
================================================
0 0 0
1 1 1
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/BoundaryCells
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/EulerAngles
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/FeatureIds
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/GBManhattanDistances
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/IPFColor
testcase_.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/Phases
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase__.xdmf
================================================
0 0 0
1 1 1
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/BoundaryCells
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/EulerAngles
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/FeatureIds
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/GBManhattanDistances
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/IPFColor
testcase__.dream3d:/DataContainers/SyntheticVolumeDataContainer/CellData/Phases
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_elems.inp
================================================
** Generated by : ImportExport Version 6.5.163.1998a502a
** ----------------------------------------------------------------
**
*Element, type=C3D8
1, 443, 2, 1, 442, 464, 23, 22, 463
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3, 445, 4, 3, 444, 466, 25, 24, 465
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11, 453, 12, 11, 452, 474, 33, 32, 473
12, 454, 13, 12, 453, 475, 34, 33, 474
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17, 459, 18, 17, 458, 480, 39, 38, 479
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29, 472, 31, 30, 471, 493, 52, 51, 492
30, 473, 32, 31, 472, 494, 53, 52, 493
31, 474, 33, 32, 473, 495, 54, 53, 494
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36, 479, 38, 37, 478, 500, 59, 58, 499
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51, 495, 54, 53, 494, 516, 75, 74, 515
52, 496, 55, 54, 495, 517, 76, 75, 516
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66, 511, 70, 69, 510, 532, 91, 90, 531
67, 512, 71, 70, 511, 533, 92, 91, 532
68, 513, 72, 71, 512, 534, 93, 92, 533
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70, 515, 74, 73, 514, 536, 95, 94, 535
71, 516, 75, 74, 515, 537, 96, 95, 536
72, 517, 76, 75, 516, 538, 97, 96, 537
73, 518, 77, 76, 517, 539, 98, 97, 538
74, 519, 78, 77, 518, 540, 99, 98, 539
75, 520, 79, 78, 519, 541, 100, 99, 540
76, 521, 80, 79, 520, 542, 101, 100, 541
77, 522, 81, 80, 521, 543, 102, 101, 542
78, 523, 82, 81, 522, 544, 103, 102, 543
79, 524, 83, 82, 523, 545, 104, 103, 544
80, 525, 84, 83, 524, 546, 105, 104, 545
81, 527, 86, 85, 526, 548, 107, 106, 547
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84, 530, 89, 88, 529, 551, 110, 109, 550
85, 531, 90, 89, 530, 552, 111, 110, 551
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91, 537, 96, 95, 536, 558, 117, 116, 557
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93, 539, 98, 97, 538, 560, 119, 118, 559
94, 540, 99, 98, 539, 561, 120, 119, 560
95, 541, 100, 99, 540, 562, 121, 120, 561
96, 542, 101, 100, 541, 563, 122, 121, 562
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98, 544, 103, 102, 543, 565, 124, 123, 564
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102, 549, 108, 107, 548, 570, 129, 128, 569
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106, 553, 112, 111, 552, 574, 133, 132, 573
107, 554, 113, 112, 553, 575, 134, 133, 574
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113, 560, 119, 118, 559, 581, 140, 139, 580
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122, 570, 129, 128, 569, 591, 150, 149, 590
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125, 573, 132, 131, 572, 594, 153, 152, 593
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129, 577, 136, 135, 576, 598, 157, 156, 597
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131, 579, 138, 137, 578, 600, 159, 158, 599
132, 580, 139, 138, 579, 601, 160, 159, 600
133, 581, 140, 139, 580, 602, 161, 160, 601
134, 582, 141, 140, 581, 603, 162, 161, 602
135, 583, 142, 141, 582, 604, 163, 162, 603
136, 584, 143, 142, 583, 605, 164, 163, 604
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145, 594, 153, 152, 593, 615, 174, 173, 614
146, 595, 154, 153, 594, 616, 175, 174, 615
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148, 597, 156, 155, 596, 618, 177, 176, 617
149, 598, 157, 156, 597, 619, 178, 177, 618
150, 599, 158, 157, 598, 620, 179, 178, 619
151, 600, 159, 158, 599, 621, 180, 179, 620
152, 601, 160, 159, 600, 622, 181, 180, 621
153, 602, 161, 160, 601, 623, 182, 181, 622
154, 603, 162, 161, 602, 624, 183, 182, 623
155, 604, 163, 162, 603, 625, 184, 183, 624
156, 605, 164, 163, 604, 626, 185, 184, 625
157, 606, 165, 164, 605, 627, 186, 185, 626
158, 607, 166, 165, 606, 628, 187, 186, 627
159, 608, 167, 166, 607, 629, 188, 187, 628
160, 609, 168, 167, 608, 630, 189, 188, 629
161, 611, 170, 169, 610, 632, 191, 190, 631
162, 612, 171, 170, 611, 633, 192, 191, 632
163, 613, 172, 171, 612, 634, 193, 192, 633
164, 614, 173, 172, 613, 635, 194, 193, 634
165, 615, 174, 173, 614, 636, 195, 194, 635
166, 616, 175, 174, 615, 637, 196, 195, 636
167, 617, 176, 175, 616, 638, 197, 196, 637
168, 618, 177, 176, 617, 639, 198, 197, 638
169, 619, 178, 177, 618, 640, 199, 198, 639
170, 620, 179, 178, 619, 641, 200, 199, 640
171, 621, 180, 179, 620, 642, 201, 200, 641
172, 622, 181, 180, 621, 643, 202, 201, 642
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174, 624, 183, 182, 623, 645, 204, 203, 644
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176, 626, 185, 184, 625, 647, 206, 205, 646
177, 627, 186, 185, 626, 648, 207, 206, 647
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179, 629, 188, 187, 628, 650, 209, 208, 649
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182, 633, 192, 191, 632, 654, 213, 212, 653
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184, 635, 194, 193, 634, 656, 215, 214, 655
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186, 637, 196, 195, 636, 658, 217, 216, 657
187, 638, 197, 196, 637, 659, 218, 217, 658
188, 639, 198, 197, 638, 660, 219, 218, 659
189, 640, 199, 198, 639, 661, 220, 219, 660
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191, 642, 201, 200, 641, 663, 222, 221, 662
192, 643, 202, 201, 642, 664, 223, 222, 663
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194, 645, 204, 203, 644, 666, 225, 224, 665
195, 646, 205, 204, 645, 667, 226, 225, 666
196, 647, 206, 205, 646, 668, 227, 226, 667
197, 648, 207, 206, 647, 669, 228, 227, 668
198, 649, 208, 207, 648, 670, 229, 228, 669
199, 650, 209, 208, 649, 671, 230, 229, 670
200, 651, 210, 209, 650, 672, 231, 230, 671
201, 653, 212, 211, 652, 674, 233, 232, 673
202, 654, 213, 212, 653, 675, 234, 233, 674
203, 655, 214, 213, 654, 676, 235, 234, 675
204, 656, 215, 214, 655, 677, 236, 235, 676
205, 657, 216, 215, 656, 678, 237, 236, 677
206, 658, 217, 216, 657, 679, 238, 237, 678
207, 659, 218, 217, 658, 680, 239, 238, 679
208, 660, 219, 218, 659, 681, 240, 239, 680
209, 661, 220, 219, 660, 682, 241, 240, 681
210, 662, 221, 220, 661, 683, 242, 241, 682
211, 663, 222, 221, 662, 684, 243, 242, 683
212, 664, 223, 222, 663, 685, 244, 243, 684
213, 665, 224, 223, 664, 686, 245, 244, 685
214, 666, 225, 224, 665, 687, 246, 245, 686
215, 667, 226, 225, 666, 688, 247, 246, 687
216, 668, 227, 226, 667, 689, 248, 247, 688
217, 669, 228, 227, 668, 690, 249, 248, 689
218, 670, 229, 228, 669, 691, 250, 249, 690
219, 671, 230, 229, 670, 692, 251, 250, 691
220, 672, 231, 230, 671, 693, 252, 251, 692
221, 674, 233, 232, 673, 695, 254, 253, 694
222, 675, 234, 233, 674, 696, 255, 254, 695
223, 676, 235, 234, 675, 697, 256, 255, 696
224, 677, 236, 235, 676, 698, 257, 256, 697
225, 678, 237, 236, 677, 699, 258, 257, 698
226, 679, 238, 237, 678, 700, 259, 258, 699
227, 680, 239, 238, 679, 701, 260, 259, 700
228, 681, 240, 239, 680, 702, 261, 260, 701
229, 682, 241, 240, 681, 703, 262, 261, 702
230, 683, 242, 241, 682, 704, 263, 262, 703
231, 684, 243, 242, 683, 705, 264, 263, 704
232, 685, 244, 243, 684, 706, 265, 264, 705
233, 686, 245, 244, 685, 707, 266, 265, 706
234, 687, 246, 245, 686, 708, 267, 266, 707
235, 688, 247, 246, 687, 709, 268, 267, 708
236, 689, 248, 247, 688, 710, 269, 268, 709
237, 690, 249, 248, 689, 711, 270, 269, 710
238, 691, 250, 249, 690, 712, 271, 270, 711
239, 692, 251, 250, 691, 713, 272, 271, 712
240, 693, 252, 251, 692, 714, 273, 272, 713
241, 695, 254, 253, 694, 716, 275, 274, 715
242, 696, 255, 254, 695, 717, 276, 275, 716
243, 697, 256, 255, 696, 718, 277, 276, 717
244, 698, 257, 256, 697, 719, 278, 277, 718
245, 699, 258, 257, 698, 720, 279, 278, 719
246, 700, 259, 258, 699, 721, 280, 279, 720
247, 701, 260, 259, 700, 722, 281, 280, 721
248, 702, 261, 260, 701, 723, 282, 281, 722
249, 703, 262, 261, 702, 724, 283, 282, 723
250, 704, 263, 262, 703, 725, 284, 283, 724
251, 705, 264, 263, 704, 726, 285, 284, 725
252, 706, 265, 264, 705, 727, 286, 285, 726
253, 707, 266, 265, 706, 728, 287, 286, 727
254, 708, 267, 266, 707, 729, 288, 287, 728
255, 709, 268, 267, 708, 730, 289, 288, 729
256, 710, 269, 268, 709, 731, 290, 289, 730
257, 711, 270, 269, 710, 732, 291, 290, 731
258, 712, 271, 270, 711, 733, 292, 291, 732
259, 713, 272, 271, 712, 734, 293, 292, 733
260, 714, 273, 272, 713, 735, 294, 293, 734
261, 716, 275, 274, 715, 737, 296, 295, 736
262, 717, 276, 275, 716, 738, 297, 296, 737
263, 718, 277, 276, 717, 739, 298, 297, 738
264, 719, 278, 277, 718, 740, 299, 298, 739
265, 720, 279, 278, 719, 741, 300, 299, 740
266, 721, 280, 279, 720, 742, 301, 300, 741
267, 722, 281, 280, 721, 743, 302, 301, 742
268, 723, 282, 281, 722, 744, 303, 302, 743
269, 724, 283, 282, 723, 745, 304, 303, 744
270, 725, 284, 283, 724, 746, 305, 304, 745
271, 726, 285, 284, 725, 747, 306, 305, 746
272, 727, 286, 285, 726, 748, 307, 306, 747
273, 728, 287, 286, 727, 749, 308, 307, 748
274, 729, 288, 287, 728, 750, 309, 308, 749
275, 730, 289, 288, 729, 751, 310, 309, 750
276, 731, 290, 289, 730, 752, 311, 310, 751
277, 732, 291, 290, 731, 753, 312, 311, 752
278, 733, 292, 291, 732, 754, 313, 312, 753
279, 734, 293, 292, 733, 755, 314, 313, 754
280, 735, 294, 293, 734, 756, 315, 314, 755
281, 737, 296, 295, 736, 758, 317, 316, 757
282, 738, 297, 296, 737, 759, 318, 317, 758
283, 739, 298, 297, 738, 760, 319, 318, 759
284, 740, 299, 298, 739, 761, 320, 319, 760
285, 741, 300, 299, 740, 762, 321, 320, 761
286, 742, 301, 300, 741, 763, 322, 321, 762
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290, 746, 305, 304, 745, 767, 326, 325, 766
291, 747, 306, 305, 746, 768, 327, 326, 767
292, 748, 307, 306, 747, 769, 328, 327, 768
293, 749, 308, 307, 748, 770, 329, 328, 769
294, 750, 309, 308, 749, 771, 330, 329, 770
295, 751, 310, 309, 750, 772, 331, 330, 771
296, 752, 311, 310, 751, 773, 332, 331, 772
297, 753, 312, 311, 752, 774, 333, 332, 773
298, 754, 313, 312, 753, 775, 334, 333, 774
299, 755, 314, 313, 754, 776, 335, 334, 775
300, 756, 315, 314, 755, 777, 336, 335, 776
301, 758, 317, 316, 757, 779, 338, 337, 778
302, 759, 318, 317, 758, 780, 339, 338, 779
303, 760, 319, 318, 759, 781, 340, 339, 780
304, 761, 320, 319, 760, 782, 341, 340, 781
305, 762, 321, 320, 761, 783, 342, 341, 782
306, 763, 322, 321, 762, 784, 343, 342, 783
307, 764, 323, 322, 763, 785, 344, 343, 784
308, 765, 324, 323, 764, 786, 345, 344, 785
309, 766, 325, 324, 765, 787, 346, 345, 786
310, 767, 326, 325, 766, 788, 347, 346, 787
311, 768, 327, 326, 767, 789, 348, 347, 788
312, 769, 328, 327, 768, 790, 349, 348, 789
313, 770, 329, 328, 769, 791, 350, 349, 790
314, 771, 330, 329, 770, 792, 351, 350, 791
315, 772, 331, 330, 771, 793, 352, 351, 792
316, 773, 332, 331, 772, 794, 353, 352, 793
317, 774, 333, 332, 773, 795, 354, 353, 794
318, 775, 334, 333, 774, 796, 355, 354, 795
319, 776, 335, 334, 775, 797, 356, 355, 796
320, 777, 336, 335, 776, 798, 357, 356, 797
321, 779, 338, 337, 778, 800, 359, 358, 799
322, 780, 339, 338, 779, 801, 360, 359, 800
323, 781, 340, 339, 780, 802, 361, 360, 801
324, 782, 341, 340, 781, 803, 362, 361, 802
325, 783, 342, 341, 782, 804, 363, 362, 803
326, 784, 343, 342, 783, 805, 364, 363, 804
327, 785, 344, 343, 784, 806, 365, 364, 805
328, 786, 345, 344, 785, 807, 366, 365, 806
329, 787, 346, 345, 786, 808, 367, 366, 807
330, 788, 347, 346, 787, 809, 368, 367, 808
331, 789, 348, 347, 788, 810, 369, 368, 809
332, 790, 349, 348, 789, 811, 370, 369, 810
333, 791, 350, 349, 790, 812, 371, 370, 811
334, 792, 351, 350, 791, 813, 372, 371, 812
335, 793, 352, 351, 792, 814, 373, 372, 813
336, 794, 353, 352, 793, 815, 374, 373, 814
337, 795, 354, 353, 794, 816, 375, 374, 815
338, 796, 355, 354, 795, 817, 376, 375, 816
339, 797, 356, 355, 796, 818, 377, 376, 817
340, 798, 357, 356, 797, 819, 378, 377, 818
341, 800, 359, 358, 799, 821, 380, 379, 820
342, 801, 360, 359, 800, 822, 381, 380, 821
343, 802, 361, 360, 801, 823, 382, 381, 822
344, 803, 362, 361, 802, 824, 383, 382, 823
345, 804, 363, 362, 803, 825, 384, 383, 824
346, 805, 364, 363, 804, 826, 385, 384, 825
347, 806, 365, 364, 805, 827, 386, 385, 826
348, 807, 366, 365, 806, 828, 387, 386, 827
349, 808, 367, 366, 807, 829, 388, 387, 828
350, 809, 368, 367, 808, 830, 389, 388, 829
351, 810, 369, 368, 809, 831, 390, 389, 830
352, 811, 370, 369, 810, 832, 391, 390, 831
353, 812, 371, 370, 811, 833, 392, 391, 832
354, 813, 372, 371, 812, 834, 393, 392, 833
355, 814, 373, 372, 813, 835, 394, 393, 834
356, 815, 374, 373, 814, 836, 395, 394, 835
357, 816, 375, 374, 815, 837, 396, 395, 836
358, 817, 376, 375, 816, 838, 397, 396, 837
359, 818, 377, 376, 817, 839, 398, 397, 838
360, 819, 378, 377, 818, 840, 399, 398, 839
361, 821, 380, 379, 820, 842, 401, 400, 841
362, 822, 381, 380, 821, 843, 402, 401, 842
363, 823, 382, 381, 822, 844, 403, 402, 843
364, 824, 383, 382, 823, 845, 404, 403, 844
365, 825, 384, 383, 824, 846, 405, 404, 845
366, 826, 385, 384, 825, 847, 406, 405, 846
367, 827, 386, 385, 826, 848, 407, 406, 847
368, 828, 387, 386, 827, 849, 408, 407, 848
369, 829, 388, 387, 828, 850, 409, 408, 849
370, 830, 389, 388, 829, 851, 410, 409, 850
371, 831, 390, 389, 830, 852, 411, 410, 851
372, 832, 391, 390, 831, 853, 412, 411, 852
373, 833, 392, 391, 832, 854, 413, 412, 853
374, 834, 393, 392, 833, 855, 414, 413, 854
375, 835, 394, 393, 834, 856, 415, 414, 855
376, 836, 395, 394, 835, 857, 416, 415, 856
377, 837, 396, 395, 836, 858, 417, 416, 857
378, 838, 397, 396, 837, 859, 418, 417, 858
379, 839, 398, 397, 838, 860, 419, 418, 859
380, 840, 399, 398, 839, 861, 420, 419, 860
381, 842, 401, 400, 841, 863, 422, 421, 862
382, 843, 402, 401, 842, 864, 423, 422, 863
383, 844, 403, 402, 843, 865, 424, 423, 864
384, 845, 404, 403, 844, 866, 425, 424, 865
385, 846, 405, 404, 845, 867, 426, 425, 866
386, 847, 406, 405, 846, 868, 427, 426, 867
387, 848, 407, 406, 847, 869, 428, 427, 868
388, 849, 408, 407, 848, 870, 429, 428, 869
389, 850, 409, 408, 849, 871, 430, 429, 870
390, 851, 410, 409, 850, 872, 431, 430, 871
391, 852, 411, 410, 851, 873, 432, 431, 872
392, 853, 412, 411, 852, 874, 433, 432, 873
393, 854, 413, 412, 853, 875, 434, 433, 874
394, 855, 414, 413, 854, 876, 435, 434, 875
395, 856, 415, 414, 855, 877, 436, 435, 876
396, 857, 416, 415, 856, 878, 437, 436, 877
397, 858, 417, 416, 857, 879, 438, 437, 878
398, 859, 418, 417, 858, 880, 439, 438, 879
399, 860, 419, 418, 859, 881, 440, 439, 880
400, 861, 420, 419, 860, 882, 441, 440, 881
401, 884, 443, 442, 883, 905, 464, 463, 904
402, 885, 444, 443, 884, 906, 465, 464, 905
403, 886, 445, 444, 885, 907, 466, 465, 906
404, 887, 446, 445, 886, 908, 467, 466, 907
405, 888, 447, 446, 887, 909, 468, 467, 908
406, 889, 448, 447, 888, 910, 469, 468, 909
407, 890, 449, 448, 889, 911, 470, 469, 910
408, 891, 450, 449, 890, 912, 471, 470, 911
409, 892, 451, 450, 891, 913, 472, 471, 912
410, 893, 452, 451, 892, 914, 473, 472, 913
411, 894, 453, 452, 893, 915, 474, 473, 914
412, 895, 454, 453, 894, 916, 475, 474, 915
413, 896, 455, 454, 895, 917, 476, 475, 916
414, 897, 456, 455, 896, 918, 477, 476, 917
415, 898, 457, 456, 897, 919, 478, 477, 918
416, 899, 458, 457, 898, 920, 479, 478, 919
417, 900, 459, 458, 899, 921, 480, 479, 920
418, 901, 460, 459, 900, 922, 481, 480, 921
419, 902, 461, 460, 901, 923, 482, 481, 922
420, 903, 462, 461, 902, 924, 483, 482, 923
421, 905, 464, 463, 904, 926, 485, 484, 925
422, 906, 465, 464, 905, 927, 486, 485, 926
423, 907, 466, 465, 906, 928, 487, 486, 927
424, 908, 467, 466, 907, 929, 488, 487, 928
425, 909, 468, 467, 908, 930, 489, 488, 929
426, 910, 469, 468, 909, 931, 490, 489, 930
427, 911, 470, 469, 910, 932, 491, 490, 931
428, 912, 471, 470, 911, 933, 492, 491, 932
429, 913, 472, 471, 912, 934, 493, 492, 933
430, 914, 473, 472, 913, 935, 494, 493, 934
431, 915, 474, 473, 914, 936, 495, 494, 935
432, 916, 475, 474, 915, 937, 496, 495, 936
433, 917, 476, 475, 916, 938, 497, 496, 937
434, 918, 477, 476, 917, 939, 498, 497, 938
435, 919, 478, 477, 918, 940, 499, 498, 939
436, 920, 479, 478, 919, 941, 500, 499, 940
437, 921, 480, 479, 920, 942, 501, 500, 941
438, 922, 481, 480, 921, 943, 502, 501, 942
439, 923, 482, 481, 922, 944, 503, 502, 943
440, 924, 483, 482, 923, 945, 504, 503, 944
441, 926, 485, 484, 925, 947, 506, 505, 946
442, 927, 486, 485, 926, 948, 507, 506, 947
443, 928, 487, 486, 927, 949, 508, 507, 948
444, 929, 488, 487, 928, 950, 509, 508, 949
445, 930, 489, 488, 929, 951, 510, 509, 950
446, 931, 490, 489, 930, 952, 511, 510, 951
447, 932, 491, 490, 931, 953, 512, 511, 952
448, 933, 492, 491, 932, 954, 513, 512, 953
449, 934, 493, 492, 933, 955, 514, 513, 954
450, 935, 494, 493, 934, 956, 515, 514, 955
451, 936, 495, 494, 935, 957, 516, 515, 956
452, 937, 496, 495, 936, 958, 517, 516, 957
453, 938, 497, 496, 937, 959, 518, 517, 958
454, 939, 498, 497, 938, 960, 519, 518, 959
455, 940, 499, 498, 939, 961, 520, 519, 960
456, 941, 500, 499, 940, 962, 521, 520, 961
457, 942, 501, 500, 941, 963, 522, 521, 962
458, 943, 502, 501, 942, 964, 523, 522, 963
459, 944, 503, 502, 943, 965, 524, 523, 964
460, 945, 504, 503, 944, 966, 525, 524, 965
461, 947, 506, 505, 946, 968, 527, 526, 967
462, 948, 507, 506, 947, 969, 528, 527, 968
463, 949, 508, 507, 948, 970, 529, 528, 969
464, 950, 509, 508, 949, 971, 530, 529, 970
465, 951, 510, 509, 950, 972, 531, 530, 971
466, 952, 511, 510, 951, 973, 532, 531, 972
467, 953, 512, 511, 952, 974, 533, 532, 973
468, 954, 513, 512, 953, 975, 534, 533, 974
469, 955, 514, 513, 954, 976, 535, 534, 975
470, 956, 515, 514, 955, 977, 536, 535, 976
471, 957, 516, 515, 956, 978, 537, 536, 977
472, 958, 517, 516, 957, 979, 538, 537, 978
473, 959, 518, 517, 958, 980, 539, 538, 979
474, 960, 519, 518, 959, 981, 540, 539, 980
475, 961, 520, 519, 960, 982, 541, 540, 981
476, 962, 521, 520, 961, 983, 542, 541, 982
477, 963, 522, 521, 962, 984, 543, 542, 983
478, 964, 523, 522, 963, 985, 544, 543, 984
479, 965, 524, 523, 964, 986, 545, 544, 985
480, 966, 525, 524, 965, 987, 546, 545, 986
481, 968, 527, 526, 967, 989, 548, 547, 988
482, 969, 528, 527, 968, 990, 549, 548, 989
483, 970, 529, 528, 969, 991, 550, 549, 990
484, 971, 530, 529, 970, 992, 551, 550, 991
485, 972, 531, 530, 971, 993, 552, 551, 992
486, 973, 532, 531, 972, 994, 553, 552, 993
487, 974, 533, 532, 973, 995, 554, 553, 994
488, 975, 534, 533, 974, 996, 555, 554, 995
489, 976, 535, 534, 975, 997, 556, 555, 996
490, 977, 536, 535, 976, 998, 557, 556, 997
491, 978, 537, 536, 977, 999, 558, 557, 998
492, 979, 538, 537, 978, 1000, 559, 558, 999
493, 980, 539, 538, 979, 1001, 560, 559, 1000
494, 981, 540, 539, 980, 1002, 561, 560, 1001
495, 982, 541, 540, 981, 1003, 562, 561, 1002
496, 983, 542, 541, 982, 1004, 563, 562, 1003
497, 984, 543, 542, 983, 1005, 564, 563, 1004
498, 985, 544, 543, 984, 1006, 565, 564, 1005
499, 986, 545, 544, 985, 1007, 566, 565, 1006
500, 987, 546, 545, 986, 1008, 567, 566, 1007
501, 989, 548, 547, 988, 1010, 569, 568, 1009
502, 990, 549, 548, 989, 1011, 570, 569, 1010
503, 991, 550, 549, 990, 1012, 571, 570, 1011
504, 992, 551, 550, 991, 1013, 572, 571, 1012
505, 993, 552, 551, 992, 1014, 573, 572, 1013
506, 994, 553, 552, 993, 1015, 574, 573, 1014
507, 995, 554, 553, 994, 1016, 575, 574, 1015
508, 996, 555, 554, 995, 1017, 576, 575, 1016
509, 997, 556, 555, 996, 1018, 577, 576, 1017
510, 998, 557, 556, 997, 1019, 578, 577, 1018
511, 999, 558, 557, 998, 1020, 579, 578, 1019
512, 1000, 559, 558, 999, 1021, 580, 579, 1020
513, 1001, 560, 559, 1000, 1022, 581, 580, 1021
514, 1002, 561, 560, 1001, 1023, 582, 581, 1022
515, 1003, 562, 561, 1002, 1024, 583, 582, 1023
516, 1004, 563, 562, 1003, 1025, 584, 583, 1024
517, 1005, 564, 563, 1004, 1026, 585, 584, 1025
518, 1006, 565, 564, 1005, 1027, 586, 585, 1026
519, 1007, 566, 565, 1006, 1028, 587, 586, 1027
520, 1008, 567, 566, 1007, 1029, 588, 587, 1028
521, 1010, 569, 568, 1009, 1031, 590, 589, 1030
522, 1011, 570, 569, 1010, 1032, 591, 590, 1031
523, 1012, 571, 570, 1011, 1033, 592, 591, 1032
524, 1013, 572, 571, 1012, 1034, 593, 592, 1033
525, 1014, 573, 572, 1013, 1035, 594, 593, 1034
526, 1015, 574, 573, 1014, 1036, 595, 594, 1035
527, 1016, 575, 574, 1015, 1037, 596, 595, 1036
528, 1017, 576, 575, 1016, 1038, 597, 596, 1037
529, 1018, 577, 576, 1017, 1039, 598, 597, 1038
530, 1019, 578, 577, 1018, 1040, 599, 598, 1039
531, 1020, 579, 578, 1019, 1041, 600, 599, 1040
532, 1021, 580, 579, 1020, 1042, 601, 600, 1041
533, 1022, 581, 580, 1021, 1043, 602, 601, 1042
534, 1023, 582, 581, 1022, 1044, 603, 602, 1043
535, 1024, 583, 582, 1023, 1045, 604, 603, 1044
536, 1025, 584, 583, 1024, 1046, 605, 604, 1045
537, 1026, 585, 584, 1025, 1047, 606, 605, 1046
538, 1027, 586, 585, 1026, 1048, 607, 606, 1047
539, 1028, 587, 586, 1027, 1049, 608, 607, 1048
540, 1029, 588, 587, 1028, 1050, 609, 608, 1049
541, 1031, 590, 589, 1030, 1052, 611, 610, 1051
542, 1032, 591, 590, 1031, 1053, 612, 611, 1052
543, 1033, 592, 591, 1032, 1054, 613, 612, 1053
544, 1034, 593, 592, 1033, 1055, 614, 613, 1054
545, 1035, 594, 593, 1034, 1056, 615, 614, 1055
546, 1036, 595, 594, 1035, 1057, 616, 615, 1056
547, 1037, 596, 595, 1036, 1058, 617, 616, 1057
548, 1038, 597, 596, 1037, 1059, 618, 617, 1058
549, 1039, 598, 597, 1038, 1060, 619, 618, 1059
550, 1040, 599, 598, 1039, 1061, 620, 619, 1060
551, 1041, 600, 599, 1040, 1062, 621, 620, 1061
552, 1042, 601, 600, 1041, 1063, 622, 621, 1062
553, 1043, 602, 601, 1042, 1064, 623, 622, 1063
554, 1044, 603, 602, 1043, 1065, 624, 623, 1064
555, 1045, 604, 603, 1044, 1066, 625, 624, 1065
556, 1046, 605, 604, 1045, 1067, 626, 625, 1066
557, 1047, 606, 605, 1046, 1068, 627, 626, 1067
558, 1048, 607, 606, 1047, 1069, 628, 627, 1068
559, 1049, 608, 607, 1048, 1070, 629, 628, 1069
560, 1050, 609, 608, 1049, 1071, 630, 629, 1070
561, 1052, 611, 610, 1051, 1073, 632, 631, 1072
562, 1053, 612, 611, 1052, 1074, 633, 632, 1073
563, 1054, 613, 612, 1053, 1075, 634, 633, 1074
564, 1055, 614, 613, 1054, 1076, 635, 634, 1075
565, 1056, 615, 614, 1055, 1077, 636, 635, 1076
566, 1057, 616, 615, 1056, 1078, 637, 636, 1077
567, 1058, 617, 616, 1057, 1079, 638, 637, 1078
568, 1059, 618, 617, 1058, 1080, 639, 638, 1079
569, 1060, 619, 618, 1059, 1081, 640, 639, 1080
570, 1061, 620, 619, 1060, 1082, 641, 640, 1081
571, 1062, 621, 620, 1061, 1083, 642, 641, 1082
572, 1063, 622, 621, 1062, 1084, 643, 642, 1083
573, 1064, 623, 622, 1063, 1085, 644, 643, 1084
574, 1065, 624, 623, 1064, 1086, 645, 644, 1085
575, 1066, 625, 624, 1065, 1087, 646, 645, 1086
576, 1067, 626, 625, 1066, 1088, 647, 646, 1087
577, 1068, 627, 626, 1067, 1089, 648, 647, 1088
578, 1069, 628, 627, 1068, 1090, 649, 648, 1089
579, 1070, 629, 628, 1069, 1091, 650, 649, 1090
580, 1071, 630, 629, 1070, 1092, 651, 650, 1091
581, 1073, 632, 631, 1072, 1094, 653, 652, 1093
582, 1074, 633, 632, 1073, 1095, 654, 653, 1094
583, 1075, 634, 633, 1074, 1096, 655, 654, 1095
584, 1076, 635, 634, 1075, 1097, 656, 655, 1096
585, 1077, 636, 635, 1076, 1098, 657, 656, 1097
586, 1078, 637, 636, 1077, 1099, 658, 657, 1098
587, 1079, 638, 637, 1078, 1100, 659, 658, 1099
588, 1080, 639, 638, 1079, 1101, 660, 659, 1100
589, 1081, 640, 639, 1080, 1102, 661, 660, 1101
590, 1082, 641, 640, 1081, 1103, 662, 661, 1102
591, 1083, 642, 641, 1082, 1104, 663, 662, 1103
592, 1084, 643, 642, 1083, 1105, 664, 663, 1104
593, 1085, 644, 643, 1084, 1106, 665, 664, 1105
594, 1086, 645, 644, 1085, 1107, 666, 665, 1106
595, 1087, 646, 645, 1086, 1108, 667, 666, 1107
596, 1088, 647, 646, 1087, 1109, 668, 667, 1108
597, 1089, 648, 647, 1088, 1110, 669, 668, 1109
598, 1090, 649, 648, 1089, 1111, 670, 669, 1110
599, 1091, 650, 649, 1090, 1112, 671, 670, 1111
600, 1092, 651, 650, 1091, 1113, 672, 671, 1112
601, 1094, 653, 652, 1093, 1115, 674, 673, 1114
602, 1095, 654, 653, 1094, 1116, 675, 674, 1115
603, 1096, 655, 654, 1095, 1117, 676, 675, 1116
604, 1097, 656, 655, 1096, 1118, 677, 676, 1117
605, 1098, 657, 656, 1097, 1119, 678, 677, 1118
606, 1099, 658, 657, 1098, 1120, 679, 678, 1119
607, 1100, 659, 658, 1099, 1121, 680, 679, 1120
608, 1101, 660, 659, 1100, 1122, 681, 680, 1121
609, 1102, 661, 660, 1101, 1123, 682, 681, 1122
610, 1103, 662, 661, 1102, 1124, 683, 682, 1123
611, 1104, 663, 662, 1103, 1125, 684, 683, 1124
612, 1105, 664, 663, 1104, 1126, 685, 684, 1125
613, 1106, 665, 664, 1105, 1127, 686, 685, 1126
614, 1107, 666, 665, 1106, 1128, 687, 686, 1127
615, 1108, 667, 666, 1107, 1129, 688, 687, 1128
616, 1109, 668, 667, 1108, 1130, 689, 688, 1129
617, 1110, 669, 668, 1109, 1131, 690, 689, 1130
618, 1111, 670, 669, 1110, 1132, 691, 690, 1131
619, 1112, 671, 670, 1111, 1133, 692, 691, 1132
620, 1113, 672, 671, 1112, 1134, 693, 692, 1133
621, 1115, 674, 673, 1114, 1136, 695, 694, 1135
622, 1116, 675, 674, 1115, 1137, 696, 695, 1136
623, 1117, 676, 675, 1116, 1138, 697, 696, 1137
624, 1118, 677, 676, 1117, 1139, 698, 697, 1138
625, 1119, 678, 677, 1118, 1140, 699, 698, 1139
626, 1120, 679, 678, 1119, 1141, 700, 699, 1140
627, 1121, 680, 679, 1120, 1142, 701, 700, 1141
628, 1122, 681, 680, 1121, 1143, 702, 701, 1142
629, 1123, 682, 681, 1122, 1144, 703, 702, 1143
630, 1124, 683, 682, 1123, 1145, 704, 703, 1144
631, 1125, 684, 683, 1124, 1146, 705, 704, 1145
632, 1126, 685, 684, 1125, 1147, 706, 705, 1146
633, 1127, 686, 685, 1126, 1148, 707, 706, 1147
634, 1128, 687, 686, 1127, 1149, 708, 707, 1148
635, 1129, 688, 687, 1128, 1150, 709, 708, 1149
636, 1130, 689, 688, 1129, 1151, 710, 709, 1150
637, 1131, 690, 689, 1130, 1152, 711, 710, 1151
638, 1132, 691, 690, 1131, 1153, 712, 711, 1152
639, 1133, 692, 691, 1132, 1154, 713, 712, 1153
640, 1134, 693, 692, 1133, 1155, 714, 713, 1154
641, 1136, 695, 694, 1135, 1157, 716, 715, 1156
642, 1137, 696, 695, 1136, 1158, 717, 716, 1157
643, 1138, 697, 696, 1137, 1159, 718, 717, 1158
644, 1139, 698, 697, 1138, 1160, 719, 718, 1159
645, 1140, 699, 698, 1139, 1161, 720, 719, 1160
646, 1141, 700, 699, 1140, 1162, 721, 720, 1161
647, 1142, 701, 700, 1141, 1163, 722, 721, 1162
648, 1143, 702, 701, 1142, 1164, 723, 722, 1163
649, 1144, 703, 702, 1143, 1165, 724, 723, 1164
650, 1145, 704, 703, 1144, 1166, 725, 724, 1165
651, 1146, 705, 704, 1145, 1167, 726, 725, 1166
652, 1147, 706, 705, 1146, 1168, 727, 726, 1167
653, 1148, 707, 706, 1147, 1169, 728, 727, 1168
654, 1149, 708, 707, 1148, 1170, 729, 728, 1169
655, 1150, 709, 708, 1149, 1171, 730, 729, 1170
656, 1151, 710, 709, 1150, 1172, 731, 730, 1171
657, 1152, 711, 710, 1151, 1173, 732, 731, 1172
658, 1153, 712, 711, 1152, 1174, 733, 732, 1173
659, 1154, 713, 712, 1153, 1175, 734, 733, 1174
660, 1155, 714, 713, 1154, 1176, 735, 734, 1175
661, 1157, 716, 715, 1156, 1178, 737, 736, 1177
662, 1158, 717, 716, 1157, 1179, 738, 737, 1178
663, 1159, 718, 717, 1158, 1180, 739, 738, 1179
664, 1160, 719, 718, 1159, 1181, 740, 739, 1180
665, 1161, 720, 719, 1160, 1182, 741, 740, 1181
666, 1162, 721, 720, 1161, 1183, 742, 741, 1182
667, 1163, 722, 721, 1162, 1184, 743, 742, 1183
668, 1164, 723, 722, 1163, 1185, 744, 743, 1184
669, 1165, 724, 723, 1164, 1186, 745, 744, 1185
670, 1166, 725, 724, 1165, 1187, 746, 745, 1186
671, 1167, 726, 725, 1166, 1188, 747, 746, 1187
672, 1168, 727, 726, 1167, 1189, 748, 747, 1188
673, 1169, 728, 727, 1168, 1190, 749, 748, 1189
674, 1170, 729, 728, 1169, 1191, 750, 749, 1190
675, 1171, 730, 729, 1170, 1192, 751, 750, 1191
676, 1172, 731, 730, 1171, 1193, 752, 751, 1192
677, 1173, 732, 731, 1172, 1194, 753, 752, 1193
678, 1174, 733, 732, 1173, 1195, 754, 753, 1194
679, 1175, 734, 733, 1174, 1196, 755, 754, 1195
680, 1176, 735, 734, 1175, 1197, 756, 755, 1196
681, 1178, 737, 736, 1177, 1199, 758, 757, 1198
682, 1179, 738, 737, 1178, 1200, 759, 758, 1199
683, 1180, 739, 738, 1179, 1201, 760, 759, 1200
684, 1181, 740, 739, 1180, 1202, 761, 760, 1201
685, 1182, 741, 740, 1181, 1203, 762, 761, 1202
686, 1183, 742, 741, 1182, 1204, 763, 762, 1203
687, 1184, 743, 742, 1183, 1205, 764, 763, 1204
688, 1185, 744, 743, 1184, 1206, 765, 764, 1205
689, 1186, 745, 744, 1185, 1207, 766, 765, 1206
690, 1187, 746, 745, 1186, 1208, 767, 766, 1207
691, 1188, 747, 746, 1187, 1209, 768, 767, 1208
692, 1189, 748, 747, 1188, 1210, 769, 768, 1209
693, 1190, 749, 748, 1189, 1211, 770, 769, 1210
694, 1191, 750, 749, 1190, 1212, 771, 770, 1211
695, 1192, 751, 750, 1191, 1213, 772, 771, 1212
696, 1193, 752, 751, 1192, 1214, 773, 772, 1213
697, 1194, 753, 752, 1193, 1215, 774, 773, 1214
698, 1195, 754, 753, 1194, 1216, 775, 774, 1215
699, 1196, 755, 754, 1195, 1217, 776, 775, 1216
700, 1197, 756, 755, 1196, 1218, 777, 776, 1217
701, 1199, 758, 757, 1198, 1220, 779, 778, 1219
702, 1200, 759, 758, 1199, 1221, 780, 779, 1220
703, 1201, 760, 759, 1200, 1222, 781, 780, 1221
704, 1202, 761, 760, 1201, 1223, 782, 781, 1222
705, 1203, 762, 761, 1202, 1224, 783, 782, 1223
706, 1204, 763, 762, 1203, 1225, 784, 783, 1224
707, 1205, 764, 763, 1204, 1226, 785, 784, 1225
708, 1206, 765, 764, 1205, 1227, 786, 785, 1226
709, 1207, 766, 765, 1206, 1228, 787, 786, 1227
710, 1208, 767, 766, 1207, 1229, 788, 787, 1228
711, 1209, 768, 767, 1208, 1230, 789, 788, 1229
712, 1210, 769, 768, 1209, 1231, 790, 789, 1230
713, 1211, 770, 769, 1210, 1232, 791, 790, 1231
714, 1212, 771, 770, 1211, 1233, 792, 791, 1232
715, 1213, 772, 771, 1212, 1234, 793, 792, 1233
716, 1214, 773, 772, 1213, 1235, 794, 793, 1234
717, 1215, 774, 773, 1214, 1236, 795, 794, 1235
718, 1216, 775, 774, 1215, 1237, 796, 795, 1236
719, 1217, 776, 775, 1216, 1238, 797, 796, 1237
720, 1218, 777, 776, 1217, 1239, 798, 797, 1238
721, 1220, 779, 778, 1219, 1241, 800, 799, 1240
722, 1221, 780, 779, 1220, 1242, 801, 800, 1241
723, 1222, 781, 780, 1221, 1243, 802, 801, 1242
724, 1223, 782, 781, 1222, 1244, 803, 802, 1243
725, 1224, 783, 782, 1223, 1245, 804, 803, 1244
726, 1225, 784, 783, 1224, 1246, 805, 804, 1245
727, 1226, 785, 784, 1225, 1247, 806, 805, 1246
728, 1227, 786, 785, 1226, 1248, 807, 806, 1247
729, 1228, 787, 786, 1227, 1249, 808, 807, 1248
730, 1229, 788, 787, 1228, 1250, 809, 808, 1249
731, 1230, 789, 788, 1229, 1251, 810, 809, 1250
732, 1231, 790, 789, 1230, 1252, 811, 810, 1251
733, 1232, 791, 790, 1231, 1253, 812, 811, 1252
734, 1233, 792, 791, 1232, 1254, 813, 812, 1253
735, 1234, 793, 792, 1233, 1255, 814, 813, 1254
736, 1235, 794, 793, 1234, 1256, 815, 814, 1255
737, 1236, 795, 794, 1235, 1257, 816, 815, 1256
738, 1237, 796, 795, 1236, 1258, 817, 816, 1257
739, 1238, 797, 796, 1237, 1259, 818, 817, 1258
740, 1239, 798, 797, 1238, 1260, 819, 818, 1259
741, 1241, 800, 799, 1240, 1262, 821, 820, 1261
742, 1242, 801, 800, 1241, 1263, 822, 821, 1262
743, 1243, 802, 801, 1242, 1264, 823, 822, 1263
744, 1244, 803, 802, 1243, 1265, 824, 823, 1264
745, 1245, 804, 803, 1244, 1266, 825, 824, 1265
746, 1246, 805, 804, 1245, 1267, 826, 825, 1266
747, 1247, 806, 805, 1246, 1268, 827, 826, 1267
748, 1248, 807, 806, 1247, 1269, 828, 827, 1268
749, 1249, 808, 807, 1248, 1270, 829, 828, 1269
750, 1250, 809, 808, 1249, 1271, 830, 829, 1270
751, 1251, 810, 809, 1250, 1272, 831, 830, 1271
752, 1252, 811, 810, 1251, 1273, 832, 831, 1272
753, 1253, 812, 811, 1252, 1274, 833, 832, 1273
754, 1254, 813, 812, 1253, 1275, 834, 833, 1274
755, 1255, 814, 813, 1254, 1276, 835, 834, 1275
756, 1256, 815, 814, 1255, 1277, 836, 835, 1276
757, 1257, 816, 815, 1256, 1278, 837, 836, 1277
758, 1258, 817, 816, 1257, 1279, 838, 837, 1278
759, 1259, 818, 817, 1258, 1280, 839, 838, 1279
760, 1260, 819, 818, 1259, 1281, 840, 839, 1280
761, 1262, 821, 820, 1261, 1283, 842, 841, 1282
762, 1263, 822, 821, 1262, 1284, 843, 842, 1283
763, 1264, 823, 822, 1263, 1285, 844, 843, 1284
764, 1265, 824, 823, 1264, 1286, 845, 844, 1285
765, 1266, 825, 824, 1265, 1287, 846, 845, 1286
766, 1267, 826, 825, 1266, 1288, 847, 846, 1287
767, 1268, 827, 826, 1267, 1289, 848, 847, 1288
768, 1269, 828, 827, 1268, 1290, 849, 848, 1289
769, 1270, 829, 828, 1269, 1291, 850, 849, 1290
770, 1271, 830, 829, 1270, 1292, 851, 850, 1291
771, 1272, 831, 830, 1271, 1293, 852, 851, 1292
772, 1273, 832, 831, 1272, 1294, 853, 852, 1293
773, 1274, 833, 832, 1273, 1295, 854, 853, 1294
774, 1275, 834, 833, 1274, 1296, 855, 854, 1295
775, 1276, 835, 834, 1275, 1297, 856, 855, 1296
776, 1277, 836, 835, 1276, 1298, 857, 856, 1297
777, 1278, 837, 836, 1277, 1299, 858, 857, 1298
778, 1279, 838, 837, 1278, 1300, 859, 858, 1299
779, 1280, 839, 838, 1279, 1301, 860, 859, 1300
780, 1281, 840, 839, 1280, 1302, 861, 860, 1301
781, 1283, 842, 841, 1282, 1304, 863, 862, 1303
782, 1284, 843, 842, 1283, 1305, 864, 863, 1304
783, 1285, 844, 843, 1284, 1306, 865, 864, 1305
784, 1286, 845, 844, 1285, 1307, 866, 865, 1306
785, 1287, 846, 845, 1286, 1308, 867, 866, 1307
786, 1288, 847, 846, 1287, 1309, 868, 867, 1308
787, 1289, 848, 847, 1288, 1310, 869, 868, 1309
788, 1290, 849, 848, 1289, 1311, 870, 869, 1310
789, 1291, 850, 849, 1290, 1312, 871, 870, 1311
790, 1292, 851, 850, 1291, 1313, 872, 871, 1312
791, 1293, 852, 851, 1292, 1314, 873, 872, 1313
792, 1294, 853, 852, 1293, 1315, 874, 873, 1314
793, 1295, 854, 853, 1294, 1316, 875, 874, 1315
794, 1296, 855, 854, 1295, 1317, 876, 875, 1316
795, 1297, 856, 855, 1296, 1318, 877, 876, 1317
796, 1298, 857, 856, 1297, 1319, 878, 877, 1318
797, 1299, 858, 857, 1298, 1320, 879, 878, 1319
798, 1300, 859, 858, 1299, 1321, 880, 879, 1320
799, 1301, 860, 859, 1300, 1322, 881, 880, 1321
800, 1302, 861, 860, 1301, 1323, 882, 881, 1322
801, 1325, 884, 883, 1324, 1346, 905, 904, 1345
802, 1326, 885, 884, 1325, 1347, 906, 905, 1346
803, 1327, 886, 885, 1326, 1348, 907, 906, 1347
804, 1328, 887, 886, 1327, 1349, 908, 907, 1348
805, 1329, 888, 887, 1328, 1350, 909, 908, 1349
806, 1330, 889, 888, 1329, 1351, 910, 909, 1350
807, 1331, 890, 889, 1330, 1352, 911, 910, 1351
808, 1332, 891, 890, 1331, 1353, 912, 911, 1352
809, 1333, 892, 891, 1332, 1354, 913, 912, 1353
810, 1334, 893, 892, 1333, 1355, 914, 913, 1354
811, 1335, 894, 893, 1334, 1356, 915, 914, 1355
812, 1336, 895, 894, 1335, 1357, 916, 915, 1356
813, 1337, 896, 895, 1336, 1358, 917, 916, 1357
814, 1338, 897, 896, 1337, 1359, 918, 917, 1358
815, 1339, 898, 897, 1338, 1360, 919, 918, 1359
816, 1340, 899, 898, 1339, 1361, 920, 919, 1360
817, 1341, 900, 899, 1340, 1362, 921, 920, 1361
818, 1342, 901, 900, 1341, 1363, 922, 921, 1362
819, 1343, 902, 901, 1342, 1364, 923, 922, 1363
820, 1344, 903, 902, 1343, 1365, 924, 923, 1364
821, 1346, 905, 904, 1345, 1367, 926, 925, 1366
822, 1347, 906, 905, 1346, 1368, 927, 926, 1367
823, 1348, 907, 906, 1347, 1369, 928, 927, 1368
824, 1349, 908, 907, 1348, 1370, 929, 928, 1369
825, 1350, 909, 908, 1349, 1371, 930, 929, 1370
826, 1351, 910, 909, 1350, 1372, 931, 930, 1371
827, 1352, 911, 910, 1351, 1373, 932, 931, 1372
828, 1353, 912, 911, 1352, 1374, 933, 932, 1373
829, 1354, 913, 912, 1353, 1375, 934, 933, 1374
830, 1355, 914, 913, 1354, 1376, 935, 934, 1375
831, 1356, 915, 914, 1355, 1377, 936, 935, 1376
832, 1357, 916, 915, 1356, 1378, 937, 936, 1377
833, 1358, 917, 916, 1357, 1379, 938, 937, 1378
834, 1359, 918, 917, 1358, 1380, 939, 938, 1379
835, 1360, 919, 918, 1359, 1381, 940, 939, 1380
836, 1361, 920, 919, 1360, 1382, 941, 940, 1381
837, 1362, 921, 920, 1361, 1383, 942, 941, 1382
838, 1363, 922, 921, 1362, 1384, 943, 942, 1383
839, 1364, 923, 922, 1363, 1385, 944, 943, 1384
840, 1365, 924, 923, 1364, 1386, 945, 944, 1385
841, 1367, 926, 925, 1366, 1388, 947, 946, 1387
842, 1368, 927, 926, 1367, 1389, 948, 947, 1388
843, 1369, 928, 927, 1368, 1390, 949, 948, 1389
844, 1370, 929, 928, 1369, 1391, 950, 949, 1390
845, 1371, 930, 929, 1370, 1392, 951, 950, 1391
846, 1372, 931, 930, 1371, 1393, 952, 951, 1392
847, 1373, 932, 931, 1372, 1394, 953, 952, 1393
848, 1374, 933, 932, 1373, 1395, 954, 953, 1394
849, 1375, 934, 933, 1374, 1396, 955, 954, 1395
850, 1376, 935, 934, 1375, 1397, 956, 955, 1396
851, 1377, 936, 935, 1376, 1398, 957, 956, 1397
852, 1378, 937, 936, 1377, 1399, 958, 957, 1398
853, 1379, 938, 937, 1378, 1400, 959, 958, 1399
854, 1380, 939, 938, 1379, 1401, 960, 959, 1400
855, 1381, 940, 939, 1380, 1402, 961, 960, 1401
856, 1382, 941, 940, 1381, 1403, 962, 961, 1402
857, 1383, 942, 941, 1382, 1404, 963, 962, 1403
858, 1384, 943, 942, 1383, 1405, 964, 963, 1404
859, 1385, 944, 943, 1384, 1406, 965, 964, 1405
860, 1386, 945, 944, 1385, 1407, 966, 965, 1406
861, 1388, 947, 946, 1387, 1409, 968, 967, 1408
862, 1389, 948, 947, 1388, 1410, 969, 968, 1409
863, 1390, 949, 948, 1389, 1411, 970, 969, 1410
864, 1391, 950, 949, 1390, 1412, 971, 970, 1411
865, 1392, 951, 950, 1391, 1413, 972, 971, 1412
866, 1393, 952, 951, 1392, 1414, 973, 972, 1413
867, 1394, 953, 952, 1393, 1415, 974, 973, 1414
868, 1395, 954, 953, 1394, 1416, 975, 974, 1415
869, 1396, 955, 954, 1395, 1417, 976, 975, 1416
870, 1397, 956, 955, 1396, 1418, 977, 976, 1417
871, 1398, 957, 956, 1397, 1419, 978, 977, 1418
872, 1399, 958, 957, 1398, 1420, 979, 978, 1419
873, 1400, 959, 958, 1399, 1421, 980, 979, 1420
874, 1401, 960, 959, 1400, 1422, 981, 980, 1421
875, 1402, 961, 960, 1401, 1423, 982, 981, 1422
876, 1403, 962, 961, 1402, 1424, 983, 982, 1423
877, 1404, 963, 962, 1403, 1425, 984, 983, 1424
878, 1405, 964, 963, 1404, 1426, 985, 984, 1425
879, 1406, 965, 964, 1405, 1427, 986, 985, 1426
880, 1407, 966, 965, 1406, 1428, 987, 986, 1427
881, 1409, 968, 967, 1408, 1430, 989, 988, 1429
882, 1410, 969, 968, 1409, 1431, 990, 989, 1430
883, 1411, 970, 969, 1410, 1432, 991, 990, 1431
884, 1412, 971, 970, 1411, 1433, 992, 991, 1432
885, 1413, 972, 971, 1412, 1434, 993, 992, 1433
886, 1414, 973, 972, 1413, 1435, 994, 993, 1434
887, 1415, 974, 973, 1414, 1436, 995, 994, 1435
888, 1416, 975, 974, 1415, 1437, 996, 995, 1436
889, 1417, 976, 975, 1416, 1438, 997, 996, 1437
890, 1418, 977, 976, 1417, 1439, 998, 997, 1438
891, 1419, 978, 977, 1418, 1440, 999, 998, 1439
892, 1420, 979, 978, 1419, 1441, 1000, 999, 1440
893, 1421, 980, 979, 1420, 1442, 1001, 1000, 1441
894, 1422, 981, 980, 1421, 1443, 1002, 1001, 1442
895, 1423, 982, 981, 1422, 1444, 1003, 1002, 1443
896, 1424, 983, 982, 1423, 1445, 1004, 1003, 1444
897, 1425, 984, 983, 1424, 1446, 1005, 1004, 1445
898, 1426, 985, 984, 1425, 1447, 1006, 1005, 1446
899, 1427, 986, 985, 1426, 1448, 1007, 1006, 1447
900, 1428, 987, 986, 1427, 1449, 1008, 1007, 1448
901, 1430, 989, 988, 1429, 1451, 1010, 1009, 1450
902, 1431, 990, 989, 1430, 1452, 1011, 1010, 1451
903, 1432, 991, 990, 1431, 1453, 1012, 1011, 1452
904, 1433, 992, 991, 1432, 1454, 1013, 1012, 1453
905, 1434, 993, 992, 1433, 1455, 1014, 1013, 1454
906, 1435, 994, 993, 1434, 1456, 1015, 1014, 1455
907, 1436, 995, 994, 1435, 1457, 1016, 1015, 1456
908, 1437, 996, 995, 1436, 1458, 1017, 1016, 1457
909, 1438, 997, 996, 1437, 1459, 1018, 1017, 1458
910, 1439, 998, 997, 1438, 1460, 1019, 1018, 1459
911, 1440, 999, 998, 1439, 1461, 1020, 1019, 1460
912, 1441, 1000, 999, 1440, 1462, 1021, 1020, 1461
913, 1442, 1001, 1000, 1441, 1463, 1022, 1021, 1462
914, 1443, 1002, 1001, 1442, 1464, 1023, 1022, 1463
915, 1444, 1003, 1002, 1443, 1465, 1024, 1023, 1464
916, 1445, 1004, 1003, 1444, 1466, 1025, 1024, 1465
917, 1446, 1005, 1004, 1445, 1467, 1026, 1025, 1466
918, 1447, 1006, 1005, 1446, 1468, 1027, 1026, 1467
919, 1448, 1007, 1006, 1447, 1469, 1028, 1027, 1468
920, 1449, 1008, 1007, 1448, 1470, 1029, 1028, 1469
921, 1451, 1010, 1009, 1450, 1472, 1031, 1030, 1471
922, 1452, 1011, 1010, 1451, 1473, 1032, 1031, 1472
923, 1453, 1012, 1011, 1452, 1474, 1033, 1032, 1473
924, 1454, 1013, 1012, 1453, 1475, 1034, 1033, 1474
925, 1455, 1014, 1013, 1454, 1476, 1035, 1034, 1475
926, 1456, 1015, 1014, 1455, 1477, 1036, 1035, 1476
927, 1457, 1016, 1015, 1456, 1478, 1037, 1036, 1477
928, 1458, 1017, 1016, 1457, 1479, 1038, 1037, 1478
929, 1459, 1018, 1017, 1458, 1480, 1039, 1038, 1479
930, 1460, 1019, 1018, 1459, 1481, 1040, 1039, 1480
931, 1461, 1020, 1019, 1460, 1482, 1041, 1040, 1481
932, 1462, 1021, 1020, 1461, 1483, 1042, 1041, 1482
933, 1463, 1022, 1021, 1462, 1484, 1043, 1042, 1483
934, 1464, 1023, 1022, 1463, 1485, 1044, 1043, 1484
935, 1465, 1024, 1023, 1464, 1486, 1045, 1044, 1485
936, 1466, 1025, 1024, 1465, 1487, 1046, 1045, 1486
937, 1467, 1026, 1025, 1466, 1488, 1047, 1046, 1487
938, 1468, 1027, 1026, 1467, 1489, 1048, 1047, 1488
939, 1469, 1028, 1027, 1468, 1490, 1049, 1048, 1489
940, 1470, 1029, 1028, 1469, 1491, 1050, 1049, 1490
941, 1472, 1031, 1030, 1471, 1493, 1052, 1051, 1492
942, 1473, 1032, 1031, 1472, 1494, 1053, 1052, 1493
943, 1474, 1033, 1032, 1473, 1495, 1054, 1053, 1494
944, 1475, 1034, 1033, 1474, 1496, 1055, 1054, 1495
945, 1476, 1035, 1034, 1475, 1497, 1056, 1055, 1496
946, 1477, 1036, 1035, 1476, 1498, 1057, 1056, 1497
947, 1478, 1037, 1036, 1477, 1499, 1058, 1057, 1498
948, 1479, 1038, 1037, 1478, 1500, 1059, 1058, 1499
949, 1480, 1039, 1038, 1479, 1501, 1060, 1059, 1500
950, 1481, 1040, 1039, 1480, 1502, 1061, 1060, 1501
951, 1482, 1041, 1040, 1481, 1503, 1062, 1061, 1502
952, 1483, 1042, 1041, 1482, 1504, 1063, 1062, 1503
953, 1484, 1043, 1042, 1483, 1505, 1064, 1063, 1504
954, 1485, 1044, 1043, 1484, 1506, 1065, 1064, 1505
955, 1486, 1045, 1044, 1485, 1507, 1066, 1065, 1506
956, 1487, 1046, 1045, 1486, 1508, 1067, 1066, 1507
957, 1488, 1047, 1046, 1487, 1509, 1068, 1067, 1508
958, 1489, 1048, 1047, 1488, 1510, 1069, 1068, 1509
959, 1490, 1049, 1048, 1489, 1511, 1070, 1069, 1510
960, 1491, 1050, 1049, 1490, 1512, 1071, 1070, 1511
961, 1493, 1052, 1051, 1492, 1514, 1073, 1072, 1513
962, 1494, 1053, 1052, 1493, 1515, 1074, 1073, 1514
963, 1495, 1054, 1053, 1494, 1516, 1075, 1074, 1515
964, 1496, 1055, 1054, 1495, 1517, 1076, 1075, 1516
965, 1497, 1056, 1055, 1496, 1518, 1077, 1076, 1517
966, 1498, 1057, 1056, 1497, 1519, 1078, 1077, 1518
967, 1499, 1058, 1057, 1498, 1520, 1079, 1078, 1519
968, 1500, 1059, 1058, 1499, 1521, 1080, 1079, 1520
969, 1501, 1060, 1059, 1500, 1522, 1081, 1080, 1521
970, 1502, 1061, 1060, 1501, 1523, 1082, 1081, 1522
971, 1503, 1062, 1061, 1502, 1524, 1083, 1082, 1523
972, 1504, 1063, 1062, 1503, 1525, 1084, 1083, 1524
973, 1505, 1064, 1063, 1504, 1526, 1085, 1084, 1525
974, 1506, 1065, 1064, 1505, 1527, 1086, 1085, 1526
975, 1507, 1066, 1065, 1506, 1528, 1087, 1086, 1527
976, 1508, 1067, 1066, 1507, 1529, 1088, 1087, 1528
977, 1509, 1068, 1067, 1508, 1530, 1089, 1088, 1529
978, 1510, 1069, 1068, 1509, 1531, 1090, 1089, 1530
979, 1511, 1070, 1069, 1510, 1532, 1091, 1090, 1531
980, 1512, 1071, 1070, 1511, 1533, 1092, 1091, 1532
981, 1514, 1073, 1072, 1513, 1535, 1094, 1093, 1534
982, 1515, 1074, 1073, 1514, 1536, 1095, 1094, 1535
983, 1516, 1075, 1074, 1515, 1537, 1096, 1095, 1536
984, 1517, 1076, 1075, 1516, 1538, 1097, 1096, 1537
985, 1518, 1077, 1076, 1517, 1539, 1098, 1097, 1538
986, 1519, 1078, 1077, 1518, 1540, 1099, 1098, 1539
987, 1520, 1079, 1078, 1519, 1541, 1100, 1099, 1540
988, 1521, 1080, 1079, 1520, 1542, 1101, 1100, 1541
989, 1522, 1081, 1080, 1521, 1543, 1102, 1101, 1542
990, 1523, 1082, 1081, 1522, 1544, 1103, 1102, 1543
991, 1524, 1083, 1082, 1523, 1545, 1104, 1103, 1544
992, 1525, 1084, 1083, 1524, 1546, 1105, 1104, 1545
993, 1526, 1085, 1084, 1525, 1547, 1106, 1105, 1546
994, 1527, 1086, 1085, 1526, 1548, 1107, 1106, 1547
995, 1528, 1087, 1086, 1527, 1549, 1108, 1107, 1548
996, 1529, 1088, 1087, 1528, 1550, 1109, 1108, 1549
997, 1530, 1089, 1088, 1529, 1551, 1110, 1109, 1550
998, 1531, 1090, 1089, 1530, 1552, 1111, 1110, 1551
999, 1532, 1091, 1090, 1531, 1553, 1112, 1111, 1552
1000, 1533, 1092, 1091, 1532, 1554, 1113, 1112, 1553
1001, 1535, 1094, 1093, 1534, 1556, 1115, 1114, 1555
1002, 1536, 1095, 1094, 1535, 1557, 1116, 1115, 1556
1003, 1537, 1096, 1095, 1536, 1558, 1117, 1116, 1557
1004, 1538, 1097, 1096, 1537, 1559, 1118, 1117, 1558
1005, 1539, 1098, 1097, 1538, 1560, 1119, 1118, 1559
1006, 1540, 1099, 1098, 1539, 1561, 1120, 1119, 1560
1007, 1541, 1100, 1099, 1540, 1562, 1121, 1120, 1561
1008, 1542, 1101, 1100, 1541, 1563, 1122, 1121, 1562
1009, 1543, 1102, 1101, 1542, 1564, 1123, 1122, 1563
1010, 1544, 1103, 1102, 1543, 1565, 1124, 1123, 1564
1011, 1545, 1104, 1103, 1544, 1566, 1125, 1124, 1565
1012, 1546, 1105, 1104, 1545, 1567, 1126, 1125, 1566
1013, 1547, 1106, 1105, 1546, 1568, 1127, 1126, 1567
1014, 1548, 1107, 1106, 1547, 1569, 1128, 1127, 1568
1015, 1549, 1108, 1107, 1548, 1570, 1129, 1128, 1569
1016, 1550, 1109, 1108, 1549, 1571, 1130, 1129, 1570
1017, 1551, 1110, 1109, 1550, 1572, 1131, 1130, 1571
1018, 1552, 1111, 1110, 1551, 1573, 1132, 1131, 1572
1019, 1553, 1112, 1111, 1552, 1574, 1133, 1132, 1573
1020, 1554, 1113, 1112, 1553, 1575, 1134, 1133, 1574
1021, 1556, 1115, 1114, 1555, 1577, 1136, 1135, 1576
1022, 1557, 1116, 1115, 1556, 1578, 1137, 1136, 1577
1023, 1558, 1117, 1116, 1557, 1579, 1138, 1137, 1578
1024, 1559, 1118, 1117, 1558, 1580, 1139, 1138, 1579
1025, 1560, 1119, 1118, 1559, 1581, 1140, 1139, 1580
1026, 1561, 1120, 1119, 1560, 1582, 1141, 1140, 1581
1027, 1562, 1121, 1120, 1561, 1583, 1142, 1141, 1582
1028, 1563, 1122, 1121, 1562, 1584, 1143, 1142, 1583
1029, 1564, 1123, 1122, 1563, 1585, 1144, 1143, 1584
1030, 1565, 1124, 1123, 1564, 1586, 1145, 1144, 1585
1031, 1566, 1125, 1124, 1565, 1587, 1146, 1145, 1586
1032, 1567, 1126, 1125, 1566, 1588, 1147, 1146, 1587
1033, 1568, 1127, 1126, 1567, 1589, 1148, 1147, 1588
1034, 1569, 1128, 1127, 1568, 1590, 1149, 1148, 1589
1035, 1570, 1129, 1128, 1569, 1591, 1150, 1149, 1590
1036, 1571, 1130, 1129, 1570, 1592, 1151, 1150, 1591
1037, 1572, 1131, 1130, 1571, 1593, 1152, 1151, 1592
1038, 1573, 1132, 1131, 1572, 1594, 1153, 1152, 1593
1039, 1574, 1133, 1132, 1573, 1595, 1154, 1153, 1594
1040, 1575, 1134, 1133, 1574, 1596, 1155, 1154, 1595
1041, 1577, 1136, 1135, 1576, 1598, 1157, 1156, 1597
1042, 1578, 1137, 1136, 1577, 1599, 1158, 1157, 1598
1043, 1579, 1138, 1137, 1578, 1600, 1159, 1158, 1599
1044, 1580, 1139, 1138, 1579, 1601, 1160, 1159, 1600
1045, 1581, 1140, 1139, 1580, 1602, 1161, 1160, 1601
1046, 1582, 1141, 1140, 1581, 1603, 1162, 1161, 1602
1047, 1583, 1142, 1141, 1582, 1604, 1163, 1162, 1603
1048, 1584, 1143, 1142, 1583, 1605, 1164, 1163, 1604
1049, 1585, 1144, 1143, 1584, 1606, 1165, 1164, 1605
1050, 1586, 1145, 1144, 1585, 1607, 1166, 1165, 1606
1051, 1587, 1146, 1145, 1586, 1608, 1167, 1166, 1607
1052, 1588, 1147, 1146, 1587, 1609, 1168, 1167, 1608
1053, 1589, 1148, 1147, 1588, 1610, 1169, 1168, 1609
1054, 1590, 1149, 1148, 1589, 1611, 1170, 1169, 1610
1055, 1591, 1150, 1149, 1590, 1612, 1171, 1170, 1611
1056, 1592, 1151, 1150, 1591, 1613, 1172, 1171, 1612
1057, 1593, 1152, 1151, 1592, 1614, 1173, 1172, 1613
1058, 1594, 1153, 1152, 1593, 1615, 1174, 1173, 1614
1059, 1595, 1154, 1153, 1594, 1616, 1175, 1174, 1615
1060, 1596, 1155, 1154, 1595, 1617, 1176, 1175, 1616
1061, 1598, 1157, 1156, 1597, 1619, 1178, 1177, 1618
1062, 1599, 1158, 1157, 1598, 1620, 1179, 1178, 1619
1063, 1600, 1159, 1158, 1599, 1621, 1180, 1179, 1620
1064, 1601, 1160, 1159, 1600, 1622, 1181, 1180, 1621
1065, 1602, 1161, 1160, 1601, 1623, 1182, 1181, 1622
1066, 1603, 1162, 1161, 1602, 1624, 1183, 1182, 1623
1067, 1604, 1163, 1162, 1603, 1625, 1184, 1183, 1624
1068, 1605, 1164, 1163, 1604, 1626, 1185, 1184, 1625
1069, 1606, 1165, 1164, 1605, 1627, 1186, 1185, 1626
1070, 1607, 1166, 1165, 1606, 1628, 1187, 1186, 1627
1071, 1608, 1167, 1166, 1607, 1629, 1188, 1187, 1628
1072, 1609, 1168, 1167, 1608, 1630, 1189, 1188, 1629
1073, 1610, 1169, 1168, 1609, 1631, 1190, 1189, 1630
1074, 1611, 1170, 1169, 1610, 1632, 1191, 1190, 1631
1075, 1612, 1171, 1170, 1611, 1633, 1192, 1191, 1632
1076, 1613, 1172, 1171, 1612, 1634, 1193, 1192, 1633
1077, 1614, 1173, 1172, 1613, 1635, 1194, 1193, 1634
1078, 1615, 1174, 1173, 1614, 1636, 1195, 1194, 1635
1079, 1616, 1175, 1174, 1615, 1637, 1196, 1195, 1636
1080, 1617, 1176, 1175, 1616, 1638, 1197, 1196, 1637
1081, 1619, 1178, 1177, 1618, 1640, 1199, 1198, 1639
1082, 1620, 1179, 1178, 1619, 1641, 1200, 1199, 1640
1083, 1621, 1180, 1179, 1620, 1642, 1201, 1200, 1641
1084, 1622, 1181, 1180, 1621, 1643, 1202, 1201, 1642
1085, 1623, 1182, 1181, 1622, 1644, 1203, 1202, 1643
1086, 1624, 1183, 1182, 1623, 1645, 1204, 1203, 1644
1087, 1625, 1184, 1183, 1624, 1646, 1205, 1204, 1645
1088, 1626, 1185, 1184, 1625, 1647, 1206, 1205, 1646
1089, 1627, 1186, 1185, 1626, 1648, 1207, 1206, 1647
1090, 1628, 1187, 1186, 1627, 1649, 1208, 1207, 1648
1091, 1629, 1188, 1187, 1628, 1650, 1209, 1208, 1649
1092, 1630, 1189, 1188, 1629, 1651, 1210, 1209, 1650
1093, 1631, 1190, 1189, 1630, 1652, 1211, 1210, 1651
1094, 1632, 1191, 1190, 1631, 1653, 1212, 1211, 1652
1095, 1633, 1192, 1191, 1632, 1654, 1213, 1212, 1653
1096, 1634, 1193, 1192, 1633, 1655, 1214, 1213, 1654
1097, 1635, 1194, 1193, 1634, 1656, 1215, 1214, 1655
1098, 1636, 1195, 1194, 1635, 1657, 1216, 1215, 1656
1099, 1637, 1196, 1195, 1636, 1658, 1217, 1216, 1657
1100, 1638, 1197, 1196, 1637, 1659, 1218, 1217, 1658
1101, 1640, 1199, 1198, 1639, 1661, 1220, 1219, 1660
1102, 1641, 1200, 1199, 1640, 1662, 1221, 1220, 1661
1103, 1642, 1201, 1200, 1641, 1663, 1222, 1221, 1662
1104, 1643, 1202, 1201, 1642, 1664, 1223, 1222, 1663
1105, 1644, 1203, 1202, 1643, 1665, 1224, 1223, 1664
1106, 1645, 1204, 1203, 1644, 1666, 1225, 1224, 1665
1107, 1646, 1205, 1204, 1645, 1667, 1226, 1225, 1666
1108, 1647, 1206, 1205, 1646, 1668, 1227, 1226, 1667
1109, 1648, 1207, 1206, 1647, 1669, 1228, 1227, 1668
1110, 1649, 1208, 1207, 1648, 1670, 1229, 1228, 1669
1111, 1650, 1209, 1208, 1649, 1671, 1230, 1229, 1670
1112, 1651, 1210, 1209, 1650, 1672, 1231, 1230, 1671
1113, 1652, 1211, 1210, 1651, 1673, 1232, 1231, 1672
1114, 1653, 1212, 1211, 1652, 1674, 1233, 1232, 1673
1115, 1654, 1213, 1212, 1653, 1675, 1234, 1233, 1674
1116, 1655, 1214, 1213, 1654, 1676, 1235, 1234, 1675
1117, 1656, 1215, 1214, 1655, 1677, 1236, 1235, 1676
1118, 1657, 1216, 1215, 1656, 1678, 1237, 1236, 1677
1119, 1658, 1217, 1216, 1657, 1679, 1238, 1237, 1678
1120, 1659, 1218, 1217, 1658, 1680, 1239, 1238, 1679
1121, 1661, 1220, 1219, 1660, 1682, 1241, 1240, 1681
1122, 1662, 1221, 1220, 1661, 1683, 1242, 1241, 1682
1123, 1663, 1222, 1221, 1662, 1684, 1243, 1242, 1683
1124, 1664, 1223, 1222, 1663, 1685, 1244, 1243, 1684
1125, 1665, 1224, 1223, 1664, 1686, 1245, 1244, 1685
1126, 1666, 1225, 1224, 1665, 1687, 1246, 1245, 1686
1127, 1667, 1226, 1225, 1666, 1688, 1247, 1246, 1687
1128, 1668, 1227, 1226, 1667, 1689, 1248, 1247, 1688
1129, 1669, 1228, 1227, 1668, 1690, 1249, 1248, 1689
1130, 1670, 1229, 1228, 1669, 1691, 1250, 1249, 1690
1131, 1671, 1230, 1229, 1670, 1692, 1251, 1250, 1691
1132, 1672, 1231, 1230, 1671, 1693, 1252, 1251, 1692
1133, 1673, 1232, 1231, 1672, 1694, 1253, 1252, 1693
1134, 1674, 1233, 1232, 1673, 1695, 1254, 1253, 1694
1135, 1675, 1234, 1233, 1674, 1696, 1255, 1254, 1695
1136, 1676, 1235, 1234, 1675, 1697, 1256, 1255, 1696
1137, 1677, 1236, 1235, 1676, 1698, 1257, 1256, 1697
1138, 1678, 1237, 1236, 1677, 1699, 1258, 1257, 1698
1139, 1679, 1238, 1237, 1678, 1700, 1259, 1258, 1699
1140, 1680, 1239, 1238, 1679, 1701, 1260, 1259, 1700
1141, 1682, 1241, 1240, 1681, 1703, 1262, 1261, 1702
1142, 1683, 1242, 1241, 1682, 1704, 1263, 1262, 1703
1143, 1684, 1243, 1242, 1683, 1705, 1264, 1263, 1704
1144, 1685, 1244, 1243, 1684, 1706, 1265, 1264, 1705
1145, 1686, 1245, 1244, 1685, 1707, 1266, 1265, 1706
1146, 1687, 1246, 1245, 1686, 1708, 1267, 1266, 1707
1147, 1688, 1247, 1246, 1687, 1709, 1268, 1267, 1708
1148, 1689, 1248, 1247, 1688, 1710, 1269, 1268, 1709
1149, 1690, 1249, 1248, 1689, 1711, 1270, 1269, 1710
1150, 1691, 1250, 1249, 1690, 1712, 1271, 1270, 1711
1151, 1692, 1251, 1250, 1691, 1713, 1272, 1271, 1712
1152, 1693, 1252, 1251, 1692, 1714, 1273, 1272, 1713
1153, 1694, 1253, 1252, 1693, 1715, 1274, 1273, 1714
1154, 1695, 1254, 1253, 1694, 1716, 1275, 1274, 1715
1155, 1696, 1255, 1254, 1695, 1717, 1276, 1275, 1716
1156, 1697, 1256, 1255, 1696, 1718, 1277, 1276, 1717
1157, 1698, 1257, 1256, 1697, 1719, 1278, 1277, 1718
1158, 1699, 1258, 1257, 1698, 1720, 1279, 1278, 1719
1159, 1700, 1259, 1258, 1699, 1721, 1280, 1279, 1720
1160, 1701, 1260, 1259, 1700, 1722, 1281, 1280, 1721
1161, 1703, 1262, 1261, 1702, 1724, 1283, 1282, 1723
1162, 1704, 1263, 1262, 1703, 1725, 1284, 1283, 1724
1163, 1705, 1264, 1263, 1704, 1726, 1285, 1284, 1725
1164, 1706, 1265, 1264, 1705, 1727, 1286, 1285, 1726
1165, 1707, 1266, 1265, 1706, 1728, 1287, 1286, 1727
1166, 1708, 1267, 1266, 1707, 1729, 1288, 1287, 1728
1167, 1709, 1268, 1267, 1708, 1730, 1289, 1288, 1729
1168, 1710, 1269, 1268, 1709, 1731, 1290, 1289, 1730
1169, 1711, 1270, 1269, 1710, 1732, 1291, 1290, 1731
1170, 1712, 1271, 1270, 1711, 1733, 1292, 1291, 1732
1171, 1713, 1272, 1271, 1712, 1734, 1293, 1292, 1733
1172, 1714, 1273, 1272, 1713, 1735, 1294, 1293, 1734
1173, 1715, 1274, 1273, 1714, 1736, 1295, 1294, 1735
1174, 1716, 1275, 1274, 1715, 1737, 1296, 1295, 1736
1175, 1717, 1276, 1275, 1716, 1738, 1297, 1296, 1737
1176, 1718, 1277, 1276, 1717, 1739, 1298, 1297, 1738
1177, 1719, 1278, 1277, 1718, 1740, 1299, 1298, 1739
1178, 1720, 1279, 1278, 1719, 1741, 1300, 1299, 1740
1179, 1721, 1280, 1279, 1720, 1742, 1301, 1300, 1741
1180, 1722, 1281, 1280, 1721, 1743, 1302, 1301, 1742
1181, 1724, 1283, 1282, 1723, 1745, 1304, 1303, 1744
1182, 1725, 1284, 1283, 1724, 1746, 1305, 1304, 1745
1183, 1726, 1285, 1284, 1725, 1747, 1306, 1305, 1746
1184, 1727, 1286, 1285, 1726, 1748, 1307, 1306, 1747
1185, 1728, 1287, 1286, 1727, 1749, 1308, 1307, 1748
1186, 1729, 1288, 1287, 1728, 1750, 1309, 1308, 1749
1187, 1730, 1289, 1288, 1729, 1751, 1310, 1309, 1750
1188, 1731, 1290, 1289, 1730, 1752, 1311, 1310, 1751
1189, 1732, 1291, 1290, 1731, 1753, 1312, 1311, 1752
1190, 1733, 1292, 1291, 1732, 1754, 1313, 1312, 1753
1191, 1734, 1293, 1292, 1733, 1755, 1314, 1313, 1754
1192, 1735, 1294, 1293, 1734, 1756, 1315, 1314, 1755
1193, 1736, 1295, 1294, 1735, 1757, 1316, 1315, 1756
1194, 1737, 1296, 1295, 1736, 1758, 1317, 1316, 1757
1195, 1738, 1297, 1296, 1737, 1759, 1318, 1317, 1758
1196, 1739, 1298, 1297, 1738, 1760, 1319, 1318, 1759
1197, 1740, 1299, 1298, 1739, 1761, 1320, 1319, 1760
1198, 1741, 1300, 1299, 1740, 1762, 1321, 1320, 1761
1199, 1742, 1301, 1300, 1741, 1763, 1322, 1321, 1762
1200, 1743, 1302, 1301, 1742, 1764, 1323, 1322, 1763
1201, 1766, 1325, 1324, 1765, 1787, 1346, 1345, 1786
1202, 1767, 1326, 1325, 1766, 1788, 1347, 1346, 1787
1203, 1768, 1327, 1326, 1767, 1789, 1348, 1347, 1788
1204, 1769, 1328, 1327, 1768, 1790, 1349, 1348, 1789
1205, 1770, 1329, 1328, 1769, 1791, 1350, 1349, 1790
1206, 1771, 1330, 1329, 1770, 1792, 1351, 1350, 1791
1207, 1772, 1331, 1330, 1771, 1793, 1352, 1351, 1792
1208, 1773, 1332, 1331, 1772, 1794, 1353, 1352, 1793
1209, 1774, 1333, 1332, 1773, 1795, 1354, 1353, 1794
1210, 1775, 1334, 1333, 1774, 1796, 1355, 1354, 1795
1211, 1776, 1335, 1334, 1775, 1797, 1356, 1355, 1796
1212, 1777, 1336, 1335, 1776, 1798, 1357, 1356, 1797
1213, 1778, 1337, 1336, 1777, 1799, 1358, 1357, 1798
1214, 1779, 1338, 1337, 1778, 1800, 1359, 1358, 1799
1215, 1780, 1339, 1338, 1779, 1801, 1360, 1359, 1800
1216, 1781, 1340, 1339, 1780, 1802, 1361, 1360, 1801
1217, 1782, 1341, 1340, 1781, 1803, 1362, 1361, 1802
1218, 1783, 1342, 1341, 1782, 1804, 1363, 1362, 1803
1219, 1784, 1343, 1342, 1783, 1805, 1364, 1363, 1804
1220, 1785, 1344, 1343, 1784, 1806, 1365, 1364, 1805
1221, 1787, 1346, 1345, 1786, 1808, 1367, 1366, 1807
1222, 1788, 1347, 1346, 1787, 1809, 1368, 1367, 1808
1223, 1789, 1348, 1347, 1788, 1810, 1369, 1368, 1809
1224, 1790, 1349, 1348, 1789, 1811, 1370, 1369, 1810
1225, 1791, 1350, 1349, 1790, 1812, 1371, 1370, 1811
1226, 1792, 1351, 1350, 1791, 1813, 1372, 1371, 1812
1227, 1793, 1352, 1351, 1792, 1814, 1373, 1372, 1813
1228, 1794, 1353, 1352, 1793, 1815, 1374, 1373, 1814
1229, 1795, 1354, 1353, 1794, 1816, 1375, 1374, 1815
1230, 1796, 1355, 1354, 1795, 1817, 1376, 1375, 1816
1231, 1797, 1356, 1355, 1796, 1818, 1377, 1376, 1817
1232, 1798, 1357, 1356, 1797, 1819, 1378, 1377, 1818
1233, 1799, 1358, 1357, 1798, 1820, 1379, 1378, 1819
1234, 1800, 1359, 1358, 1799, 1821, 1380, 1379, 1820
1235, 1801, 1360, 1359, 1800, 1822, 1381, 1380, 1821
1236, 1802, 1361, 1360, 1801, 1823, 1382, 1381, 1822
1237, 1803, 1362, 1361, 1802, 1824, 1383, 1382, 1823
1238, 1804, 1363, 1362, 1803, 1825, 1384, 1383, 1824
1239, 1805, 1364, 1363, 1804, 1826, 1385, 1384, 1825
1240, 1806, 1365, 1364, 1805, 1827, 1386, 1385, 1826
1241, 1808, 1367, 1366, 1807, 1829, 1388, 1387, 1828
1242, 1809, 1368, 1367, 1808, 1830, 1389, 1388, 1829
1243, 1810, 1369, 1368, 1809, 1831, 1390, 1389, 1830
1244, 1811, 1370, 1369, 1810, 1832, 1391, 1390, 1831
1245, 1812, 1371, 1370, 1811, 1833, 1392, 1391, 1832
1246, 1813, 1372, 1371, 1812, 1834, 1393, 1392, 1833
1247, 1814, 1373, 1372, 1813, 1835, 1394, 1393, 1834
1248, 1815, 1374, 1373, 1814, 1836, 1395, 1394, 1835
1249, 1816, 1375, 1374, 1815, 1837, 1396, 1395, 1836
1250, 1817, 1376, 1375, 1816, 1838, 1397, 1396, 1837
1251, 1818, 1377, 1376, 1817, 1839, 1398, 1397, 1838
1252, 1819, 1378, 1377, 1818, 1840, 1399, 1398, 1839
1253, 1820, 1379, 1378, 1819, 1841, 1400, 1399, 1840
1254, 1821, 1380, 1379, 1820, 1842, 1401, 1400, 1841
1255, 1822, 1381, 1380, 1821, 1843, 1402, 1401, 1842
1256, 1823, 1382, 1381, 1822, 1844, 1403, 1402, 1843
1257, 1824, 1383, 1382, 1823, 1845, 1404, 1403, 1844
1258, 1825, 1384, 1383, 1824, 1846, 1405, 1404, 1845
1259, 1826, 1385, 1384, 1825, 1847, 1406, 1405, 1846
1260, 1827, 1386, 1385, 1826, 1848, 1407, 1406, 1847
1261, 1829, 1388, 1387, 1828, 1850, 1409, 1408, 1849
1262, 1830, 1389, 1388, 1829, 1851, 1410, 1409, 1850
1263, 1831, 1390, 1389, 1830, 1852, 1411, 1410, 1851
1264, 1832, 1391, 1390, 1831, 1853, 1412, 1411, 1852
1265, 1833, 1392, 1391, 1832, 1854, 1413, 1412, 1853
1266, 1834, 1393, 1392, 1833, 1855, 1414, 1413, 1854
1267, 1835, 1394, 1393, 1834, 1856, 1415, 1414, 1855
1268, 1836, 1395, 1394, 1835, 1857, 1416, 1415, 1856
1269, 1837, 1396, 1395, 1836, 1858, 1417, 1416, 1857
1270, 1838, 1397, 1396, 1837, 1859, 1418, 1417, 1858
1271, 1839, 1398, 1397, 1838, 1860, 1419, 1418, 1859
1272, 1840, 1399, 1398, 1839, 1861, 1420, 1419, 1860
1273, 1841, 1400, 1399, 1840, 1862, 1421, 1420, 1861
1274, 1842, 1401, 1400, 1841, 1863, 1422, 1421, 1862
1275, 1843, 1402, 1401, 1842, 1864, 1423, 1422, 1863
1276, 1844, 1403, 1402, 1843, 1865, 1424, 1423, 1864
1277, 1845, 1404, 1403, 1844, 1866, 1425, 1424, 1865
1278, 1846, 1405, 1404, 1845, 1867, 1426, 1425, 1866
1279, 1847, 1406, 1405, 1846, 1868, 1427, 1426, 1867
1280, 1848, 1407, 1406, 1847, 1869, 1428, 1427, 1868
1281, 1850, 1409, 1408, 1849, 1871, 1430, 1429, 1870
1282, 1851, 1410, 1409, 1850, 1872, 1431, 1430, 1871
1283, 1852, 1411, 1410, 1851, 1873, 1432, 1431, 1872
1284, 1853, 1412, 1411, 1852, 1874, 1433, 1432, 1873
1285, 1854, 1413, 1412, 1853, 1875, 1434, 1433, 1874
1286, 1855, 1414, 1413, 1854, 1876, 1435, 1434, 1875
1287, 1856, 1415, 1414, 1855, 1877, 1436, 1435, 1876
1288, 1857, 1416, 1415, 1856, 1878, 1437, 1436, 1877
1289, 1858, 1417, 1416, 1857, 1879, 1438, 1437, 1878
1290, 1859, 1418, 1417, 1858, 1880, 1439, 1438, 1879
1291, 1860, 1419, 1418, 1859, 1881, 1440, 1439, 1880
1292, 1861, 1420, 1419, 1860, 1882, 1441, 1440, 1881
1293, 1862, 1421, 1420, 1861, 1883, 1442, 1441, 1882
1294, 1863, 1422, 1421, 1862, 1884, 1443, 1442, 1883
1295, 1864, 1423, 1422, 1863, 1885, 1444, 1443, 1884
1296, 1865, 1424, 1423, 1864, 1886, 1445, 1444, 1885
1297, 1866, 1425, 1424, 1865, 1887, 1446, 1445, 1886
1298, 1867, 1426, 1425, 1866, 1888, 1447, 1446, 1887
1299, 1868, 1427, 1426, 1867, 1889, 1448, 1447, 1888
1300, 1869, 1428, 1427, 1868, 1890, 1449, 1448, 1889
1301, 1871, 1430, 1429, 1870, 1892, 1451, 1450, 1891
1302, 1872, 1431, 1430, 1871, 1893, 1452, 1451, 1892
1303, 1873, 1432, 1431, 1872, 1894, 1453, 1452, 1893
1304, 1874, 1433, 1432, 1873, 1895, 1454, 1453, 1894
1305, 1875, 1434, 1433, 1874, 1896, 1455, 1454, 1895
1306, 1876, 1435, 1434, 1875, 1897, 1456, 1455, 1896
1307, 1877, 1436, 1435, 1876, 1898, 1457, 1456, 1897
1308, 1878, 1437, 1436, 1877, 1899, 1458, 1457, 1898
1309, 1879, 1438, 1437, 1878, 1900, 1459, 1458, 1899
1310, 1880, 1439, 1438, 1879, 1901, 1460, 1459, 1900
1311, 1881, 1440, 1439, 1880, 1902, 1461, 1460, 1901
1312, 1882, 1441, 1440, 1881, 1903, 1462, 1461, 1902
1313, 1883, 1442, 1441, 1882, 1904, 1463, 1462, 1903
1314, 1884, 1443, 1442, 1883, 1905, 1464, 1463, 1904
1315, 1885, 1444, 1443, 1884, 1906, 1465, 1464, 1905
1316, 1886, 1445, 1444, 1885, 1907, 1466, 1465, 1906
1317, 1887, 1446, 1445, 1886, 1908, 1467, 1466, 1907
1318, 1888, 1447, 1446, 1887, 1909, 1468, 1467, 1908
1319, 1889, 1448, 1447, 1888, 1910, 1469, 1468, 1909
1320, 1890, 1449, 1448, 1889, 1911, 1470, 1469, 1910
1321, 1892, 1451, 1450, 1891, 1913, 1472, 1471, 1912
1322, 1893, 1452, 1451, 1892, 1914, 1473, 1472, 1913
1323, 1894, 1453, 1452, 1893, 1915, 1474, 1473, 1914
1324, 1895, 1454, 1453, 1894, 1916, 1475, 1474, 1915
1325, 1896, 1455, 1454, 1895, 1917, 1476, 1475, 1916
1326, 1897, 1456, 1455, 1896, 1918, 1477, 1476, 1917
1327, 1898, 1457, 1456, 1897, 1919, 1478, 1477, 1918
1328, 1899, 1458, 1457, 1898, 1920, 1479, 1478, 1919
1329, 1900, 1459, 1458, 1899, 1921, 1480, 1479, 1920
1330, 1901, 1460, 1459, 1900, 1922, 1481, 1480, 1921
1331, 1902, 1461, 1460, 1901, 1923, 1482, 1481, 1922
1332, 1903, 1462, 1461, 1902, 1924, 1483, 1482, 1923
1333, 1904, 1463, 1462, 1903, 1925, 1484, 1483, 1924
1334, 1905, 1464, 1463, 1904, 1926, 1485, 1484, 1925
1335, 1906, 1465, 1464, 1905, 1927, 1486, 1485, 1926
1336, 1907, 1466, 1465, 1906, 1928, 1487, 1486, 1927
1337, 1908, 1467, 1466, 1907, 1929, 1488, 1487, 1928
1338, 1909, 1468, 1467, 1908, 1930, 1489, 1488, 1929
1339, 1910, 1469, 1468, 1909, 1931, 1490, 1489, 1930
1340, 1911, 1470, 1469, 1910, 1932, 1491, 1490, 1931
1341, 1913, 1472, 1471, 1912, 1934, 1493, 1492, 1933
1342, 1914, 1473, 1472, 1913, 1935, 1494, 1493, 1934
1343, 1915, 1474, 1473, 1914, 1936, 1495, 1494, 1935
1344, 1916, 1475, 1474, 1915, 1937, 1496, 1495, 1936
1345, 1917, 1476, 1475, 1916, 1938, 1497, 1496, 1937
1346, 1918, 1477, 1476, 1917, 1939, 1498, 1497, 1938
1347, 1919, 1478, 1477, 1918, 1940, 1499, 1498, 1939
1348, 1920, 1479, 1478, 1919, 1941, 1500, 1499, 1940
1349, 1921, 1480, 1479, 1920, 1942, 1501, 1500, 1941
1350, 1922, 1481, 1480, 1921, 1943, 1502, 1501, 1942
1351, 1923, 1482, 1481, 1922, 1944, 1503, 1502, 1943
1352, 1924, 1483, 1482, 1923, 1945, 1504, 1503, 1944
1353, 1925, 1484, 1483, 1924, 1946, 1505, 1504, 1945
1354, 1926, 1485, 1484, 1925, 1947, 1506, 1505, 1946
1355, 1927, 1486, 1485, 1926, 1948, 1507, 1506, 1947
1356, 1928, 1487, 1486, 1927, 1949, 1508, 1507, 1948
1357, 1929, 1488, 1487, 1928, 1950, 1509, 1508, 1949
1358, 1930, 1489, 1488, 1929, 1951, 1510, 1509, 1950
1359, 1931, 1490, 1489, 1930, 1952, 1511, 1510, 1951
1360, 1932, 1491, 1490, 1931, 1953, 1512, 1511, 1952
1361, 1934, 1493, 1492, 1933, 1955, 1514, 1513, 1954
1362, 1935, 1494, 1493, 1934, 1956, 1515, 1514, 1955
1363, 1936, 1495, 1494, 1935, 1957, 1516, 1515, 1956
1364, 1937, 1496, 1495, 1936, 1958, 1517, 1516, 1957
1365, 1938, 1497, 1496, 1937, 1959, 1518, 1517, 1958
1366, 1939, 1498, 1497, 1938, 1960, 1519, 1518, 1959
1367, 1940, 1499, 1498, 1939, 1961, 1520, 1519, 1960
1368, 1941, 1500, 1499, 1940, 1962, 1521, 1520, 1961
1369, 1942, 1501, 1500, 1941, 1963, 1522, 1521, 1962
1370, 1943, 1502, 1501, 1942, 1964, 1523, 1522, 1963
1371, 1944, 1503, 1502, 1943, 1965, 1524, 1523, 1964
1372, 1945, 1504, 1503, 1944, 1966, 1525, 1524, 1965
1373, 1946, 1505, 1504, 1945, 1967, 1526, 1525, 1966
1374, 1947, 1506, 1505, 1946, 1968, 1527, 1526, 1967
1375, 1948, 1507, 1506, 1947, 1969, 1528, 1527, 1968
1376, 1949, 1508, 1507, 1948, 1970, 1529, 1528, 1969
1377, 1950, 1509, 1508, 1949, 1971, 1530, 1529, 1970
1378, 1951, 1510, 1509, 1950, 1972, 1531, 1530, 1971
1379, 1952, 1511, 1510, 1951, 1973, 1532, 1531, 1972
1380, 1953, 1512, 1511, 1952, 1974, 1533, 1532, 1973
1381, 1955, 1514, 1513, 1954, 1976, 1535, 1534, 1975
1382, 1956, 1515, 1514, 1955, 1977, 1536, 1535, 1976
1383, 1957, 1516, 1515, 1956, 1978, 1537, 1536, 1977
1384, 1958, 1517, 1516, 1957, 1979, 1538, 1537, 1978
1385, 1959, 1518, 1517, 1958, 1980, 1539, 1538, 1979
1386, 1960, 1519, 1518, 1959, 1981, 1540, 1539, 1980
1387, 1961, 1520, 1519, 1960, 1982, 1541, 1540, 1981
1388, 1962, 1521, 1520, 1961, 1983, 1542, 1541, 1982
1389, 1963, 1522, 1521, 1962, 1984, 1543, 1542, 1983
1390, 1964, 1523, 1522, 1963, 1985, 1544, 1543, 1984
1391, 1965, 1524, 1523, 1964, 1986, 1545, 1544, 1985
1392, 1966, 1525, 1524, 1965, 1987, 1546, 1545, 1986
1393, 1967, 1526, 1525, 1966, 1988, 1547, 1546, 1987
1394, 1968, 1527, 1526, 1967, 1989, 1548, 1547, 1988
1395, 1969, 1528, 1527, 1968, 1990, 1549, 1548, 1989
1396, 1970, 1529, 1528, 1969, 1991, 1550, 1549, 1990
1397, 1971, 1530, 1529, 1970, 1992, 1551, 1550, 1991
1398, 1972, 1531, 1530, 1971, 1993, 1552, 1551, 1992
1399, 1973, 1532, 1531, 1972, 1994, 1553, 1552, 1993
1400, 1974, 1533, 1532, 1973, 1995, 1554, 1553, 1994
1401, 1976, 1535, 1534, 1975, 1997, 1556, 1555, 1996
1402, 1977, 1536, 1535, 1976, 1998, 1557, 1556, 1997
1403, 1978, 1537, 1536, 1977, 1999, 1558, 1557, 1998
1404, 1979, 1538, 1537, 1978, 2000, 1559, 1558, 1999
1405, 1980, 1539, 1538, 1979, 2001, 1560, 1559, 2000
1406, 1981, 1540, 1539, 1980, 2002, 1561, 1560, 2001
1407, 1982, 1541, 1540, 1981, 2003, 1562, 1561, 2002
1408, 1983, 1542, 1541, 1982, 2004, 1563, 1562, 2003
1409, 1984, 1543, 1542, 1983, 2005, 1564, 1563, 2004
1410, 1985, 1544, 1543, 1984, 2006, 1565, 1564, 2005
1411, 1986, 1545, 1544, 1985, 2007, 1566, 1565, 2006
1412, 1987, 1546, 1545, 1986, 2008, 1567, 1566, 2007
1413, 1988, 1547, 1546, 1987, 2009, 1568, 1567, 2008
1414, 1989, 1548, 1547, 1988, 2010, 1569, 1568, 2009
1415, 1990, 1549, 1548, 1989, 2011, 1570, 1569, 2010
1416, 1991, 1550, 1549, 1990, 2012, 1571, 1570, 2011
1417, 1992, 1551, 1550, 1991, 2013, 1572, 1571, 2012
1418, 1993, 1552, 1551, 1992, 2014, 1573, 1572, 2013
1419, 1994, 1553, 1552, 1993, 2015, 1574, 1573, 2014
1420, 1995, 1554, 1553, 1994, 2016, 1575, 1574, 2015
1421, 1997, 1556, 1555, 1996, 2018, 1577, 1576, 2017
1422, 1998, 1557, 1556, 1997, 2019, 1578, 1577, 2018
1423, 1999, 1558, 1557, 1998, 2020, 1579, 1578, 2019
1424, 2000, 1559, 1558, 1999, 2021, 1580, 1579, 2020
1425, 2001, 1560, 1559, 2000, 2022, 1581, 1580, 2021
1426, 2002, 1561, 1560, 2001, 2023, 1582, 1581, 2022
1427, 2003, 1562, 1561, 2002, 2024, 1583, 1582, 2023
1428, 2004, 1563, 1562, 2003, 2025, 1584, 1583, 2024
1429, 2005, 1564, 1563, 2004, 2026, 1585, 1584, 2025
1430, 2006, 1565, 1564, 2005, 2027, 1586, 1585, 2026
1431, 2007, 1566, 1565, 2006, 2028, 1587, 1586, 2027
1432, 2008, 1567, 1566, 2007, 2029, 1588, 1587, 2028
1433, 2009, 1568, 1567, 2008, 2030, 1589, 1588, 2029
1434, 2010, 1569, 1568, 2009, 2031, 1590, 1589, 2030
1435, 2011, 1570, 1569, 2010, 2032, 1591, 1590, 2031
1436, 2012, 1571, 1570, 2011, 2033, 1592, 1591, 2032
1437, 2013, 1572, 1571, 2012, 2034, 1593, 1592, 2033
1438, 2014, 1573, 1572, 2013, 2035, 1594, 1593, 2034
1439, 2015, 1574, 1573, 2014, 2036, 1595, 1594, 2035
1440, 2016, 1575, 1574, 2015, 2037, 1596, 1595, 2036
1441, 2018, 1577, 1576, 2017, 2039, 1598, 1597, 2038
1442, 2019, 1578, 1577, 2018, 2040, 1599, 1598, 2039
1443, 2020, 1579, 1578, 2019, 2041, 1600, 1599, 2040
1444, 2021, 1580, 1579, 2020, 2042, 1601, 1600, 2041
1445, 2022, 1581, 1580, 2021, 2043, 1602, 1601, 2042
1446, 2023, 1582, 1581, 2022, 2044, 1603, 1602, 2043
1447, 2024, 1583, 1582, 2023, 2045, 1604, 1603, 2044
1448, 2025, 1584, 1583, 2024, 2046, 1605, 1604, 2045
1449, 2026, 1585, 1584, 2025, 2047, 1606, 1605, 2046
1450, 2027, 1586, 1585, 2026, 2048, 1607, 1606, 2047
1451, 2028, 1587, 1586, 2027, 2049, 1608, 1607, 2048
1452, 2029, 1588, 1587, 2028, 2050, 1609, 1608, 2049
1453, 2030, 1589, 1588, 2029, 2051, 1610, 1609, 2050
1454, 2031, 1590, 1589, 2030, 2052, 1611, 1610, 2051
1455, 2032, 1591, 1590, 2031, 2053, 1612, 1611, 2052
1456, 2033, 1592, 1591, 2032, 2054, 1613, 1612, 2053
1457, 2034, 1593, 1592, 2033, 2055, 1614, 1613, 2054
1458, 2035, 1594, 1593, 2034, 2056, 1615, 1614, 2055
1459, 2036, 1595, 1594, 2035, 2057, 1616, 1615, 2056
1460, 2037, 1596, 1595, 2036, 2058, 1617, 1616, 2057
1461, 2039, 1598, 1597, 2038, 2060, 1619, 1618, 2059
1462, 2040, 1599, 1598, 2039, 2061, 1620, 1619, 2060
1463, 2041, 1600, 1599, 2040, 2062, 1621, 1620, 2061
1464, 2042, 1601, 1600, 2041, 2063, 1622, 1621, 2062
1465, 2043, 1602, 1601, 2042, 2064, 1623, 1622, 2063
1466, 2044, 1603, 1602, 2043, 2065, 1624, 1623, 2064
1467, 2045, 1604, 1603, 2044, 2066, 1625, 1624, 2065
1468, 2046, 1605, 1604, 2045, 2067, 1626, 1625, 2066
1469, 2047, 1606, 1605, 2046, 2068, 1627, 1626, 2067
1470, 2048, 1607, 1606, 2047, 2069, 1628, 1627, 2068
1471, 2049, 1608, 1607, 2048, 2070, 1629, 1628, 2069
1472, 2050, 1609, 1608, 2049, 2071, 1630, 1629, 2070
1473, 2051, 1610, 1609, 2050, 2072, 1631, 1630, 2071
1474, 2052, 1611, 1610, 2051, 2073, 1632, 1631, 2072
1475, 2053, 1612, 1611, 2052, 2074, 1633, 1632, 2073
1476, 2054, 1613, 1612, 2053, 2075, 1634, 1633, 2074
1477, 2055, 1614, 1613, 2054, 2076, 1635, 1634, 2075
1478, 2056, 1615, 1614, 2055, 2077, 1636, 1635, 2076
1479, 2057, 1616, 1615, 2056, 2078, 1637, 1636, 2077
1480, 2058, 1617, 1616, 2057, 2079, 1638, 1637, 2078
1481, 2060, 1619, 1618, 2059, 2081, 1640, 1639, 2080
1482, 2061, 1620, 1619, 2060, 2082, 1641, 1640, 2081
1483, 2062, 1621, 1620, 2061, 2083, 1642, 1641, 2082
1484, 2063, 1622, 1621, 2062, 2084, 1643, 1642, 2083
1485, 2064, 1623, 1622, 2063, 2085, 1644, 1643, 2084
1486, 2065, 1624, 1623, 2064, 2086, 1645, 1644, 2085
1487, 2066, 1625, 1624, 2065, 2087, 1646, 1645, 2086
1488, 2067, 1626, 1625, 2066, 2088, 1647, 1646, 2087
1489, 2068, 1627, 1626, 2067, 2089, 1648, 1647, 2088
1490, 2069, 1628, 1627, 2068, 2090, 1649, 1648, 2089
1491, 2070, 1629, 1628, 2069, 2091, 1650, 1649, 2090
1492, 2071, 1630, 1629, 2070, 2092, 1651, 1650, 2091
1493, 2072, 1631, 1630, 2071, 2093, 1652, 1651, 2092
1494, 2073, 1632, 1631, 2072, 2094, 1653, 1652, 2093
1495, 2074, 1633, 1632, 2073, 2095, 1654, 1653, 2094
1496, 2075, 1634, 1633, 2074, 2096, 1655, 1654, 2095
1497, 2076, 1635, 1634, 2075, 2097, 1656, 1655, 2096
1498, 2077, 1636, 1635, 2076, 2098, 1657, 1656, 2097
1499, 2078, 1637, 1636, 2077, 2099, 1658, 1657, 2098
1500, 2079, 1638, 1637, 2078, 2100, 1659, 1658, 2099
1501, 2081, 1640, 1639, 2080, 2102, 1661, 1660, 2101
1502, 2082, 1641, 1640, 2081, 2103, 1662, 1661, 2102
1503, 2083, 1642, 1641, 2082, 2104, 1663, 1662, 2103
1504, 2084, 1643, 1642, 2083, 2105, 1664, 1663, 2104
1505, 2085, 1644, 1643, 2084, 2106, 1665, 1664, 2105
1506, 2086, 1645, 1644, 2085, 2107, 1666, 1665, 2106
1507, 2087, 1646, 1645, 2086, 2108, 1667, 1666, 2107
1508, 2088, 1647, 1646, 2087, 2109, 1668, 1667, 2108
1509, 2089, 1648, 1647, 2088, 2110, 1669, 1668, 2109
1510, 2090, 1649, 1648, 2089, 2111, 1670, 1669, 2110
1511, 2091, 1650, 1649, 2090, 2112, 1671, 1670, 2111
1512, 2092, 1651, 1650, 2091, 2113, 1672, 1671, 2112
1513, 2093, 1652, 1651, 2092, 2114, 1673, 1672, 2113
1514, 2094, 1653, 1652, 2093, 2115, 1674, 1673, 2114
1515, 2095, 1654, 1653, 2094, 2116, 1675, 1674, 2115
1516, 2096, 1655, 1654, 2095, 2117, 1676, 1675, 2116
1517, 2097, 1656, 1655, 2096, 2118, 1677, 1676, 2117
1518, 2098, 1657, 1656, 2097, 2119, 1678, 1677, 2118
1519, 2099, 1658, 1657, 2098, 2120, 1679, 1678, 2119
1520, 2100, 1659, 1658, 2099, 2121, 1680, 1679, 2120
1521, 2102, 1661, 1660, 2101, 2123, 1682, 1681, 2122
1522, 2103, 1662, 1661, 2102, 2124, 1683, 1682, 2123
1523, 2104, 1663, 1662, 2103, 2125, 1684, 1683, 2124
1524, 2105, 1664, 1663, 2104, 2126, 1685, 1684, 2125
1525, 2106, 1665, 1664, 2105, 2127, 1686, 1685, 2126
1526, 2107, 1666, 1665, 2106, 2128, 1687, 1686, 2127
1527, 2108, 1667, 1666, 2107, 2129, 1688, 1687, 2128
1528, 2109, 1668, 1667, 2108, 2130, 1689, 1688, 2129
1529, 2110, 1669, 1668, 2109, 2131, 1690, 1689, 2130
1530, 2111, 1670, 1669, 2110, 2132, 1691, 1690, 2131
1531, 2112, 1671, 1670, 2111, 2133, 1692, 1691, 2132
1532, 2113, 1672, 1671, 2112, 2134, 1693, 1692, 2133
1533, 2114, 1673, 1672, 2113, 2135, 1694, 1693, 2134
1534, 2115, 1674, 1673, 2114, 2136, 1695, 1694, 2135
1535, 2116, 1675, 1674, 2115, 2137, 1696, 1695, 2136
1536, 2117, 1676, 1675, 2116, 2138, 1697, 1696, 2137
1537, 2118, 1677, 1676, 2117, 2139, 1698, 1697, 2138
1538, 2119, 1678, 1677, 2118, 2140, 1699, 1698, 2139
1539, 2120, 1679, 1678, 2119, 2141, 1700, 1699, 2140
1540, 2121, 1680, 1679, 2120, 2142, 1701, 1700, 2141
1541, 2123, 1682, 1681, 2122, 2144, 1703, 1702, 2143
1542, 2124, 1683, 1682, 2123, 2145, 1704, 1703, 2144
1543, 2125, 1684, 1683, 2124, 2146, 1705, 1704, 2145
1544, 2126, 1685, 1684, 2125, 2147, 1706, 1705, 2146
1545, 2127, 1686, 1685, 2126, 2148, 1707, 1706, 2147
1546, 2128, 1687, 1686, 2127, 2149, 1708, 1707, 2148
1547, 2129, 1688, 1687, 2128, 2150, 1709, 1708, 2149
1548, 2130, 1689, 1688, 2129, 2151, 1710, 1709, 2150
1549, 2131, 1690, 1689, 2130, 2152, 1711, 1710, 2151
1550, 2132, 1691, 1690, 2131, 2153, 1712, 1711, 2152
1551, 2133, 1692, 1691, 2132, 2154, 1713, 1712, 2153
1552, 2134, 1693, 1692, 2133, 2155, 1714, 1713, 2154
1553, 2135, 1694, 1693, 2134, 2156, 1715, 1714, 2155
1554, 2136, 1695, 1694, 2135, 2157, 1716, 1715, 2156
1555, 2137, 1696, 1695, 2136, 2158, 1717, 1716, 2157
1556, 2138, 1697, 1696, 2137, 2159, 1718, 1717, 2158
1557, 2139, 1698, 1697, 2138, 2160, 1719, 1718, 2159
1558, 2140, 1699, 1698, 2139, 2161, 1720, 1719, 2160
1559, 2141, 1700, 1699, 2140, 2162, 1721, 1720, 2161
1560, 2142, 1701, 1700, 2141, 2163, 1722, 1721, 2162
1561, 2144, 1703, 1702, 2143, 2165, 1724, 1723, 2164
1562, 2145, 1704, 1703, 2144, 2166, 1725, 1724, 2165
1563, 2146, 1705, 1704, 2145, 2167, 1726, 1725, 2166
1564, 2147, 1706, 1705, 2146, 2168, 1727, 1726, 2167
1565, 2148, 1707, 1706, 2147, 2169, 1728, 1727, 2168
1566, 2149, 1708, 1707, 2148, 2170, 1729, 1728, 2169
1567, 2150, 1709, 1708, 2149, 2171, 1730, 1729, 2170
1568, 2151, 1710, 1709, 2150, 2172, 1731, 1730, 2171
1569, 2152, 1711, 1710, 2151, 2173, 1732, 1731, 2172
1570, 2153, 1712, 1711, 2152, 2174, 1733, 1732, 2173
1571, 2154, 1713, 1712, 2153, 2175, 1734, 1733, 2174
1572, 2155, 1714, 1713, 2154, 2176, 1735, 1734, 2175
1573, 2156, 1715, 1714, 2155, 2177, 1736, 1735, 2176
1574, 2157, 1716, 1715, 2156, 2178, 1737, 1736, 2177
1575, 2158, 1717, 1716, 2157, 2179, 1738, 1737, 2178
1576, 2159, 1718, 1717, 2158, 2180, 1739, 1738, 2179
1577, 2160, 1719, 1718, 2159, 2181, 1740, 1739, 2180
1578, 2161, 1720, 1719, 2160, 2182, 1741, 1740, 2181
1579, 2162, 1721, 1720, 2161, 2183, 1742, 1741, 2182
1580, 2163, 1722, 1721, 2162, 2184, 1743, 1742, 2183
1581, 2165, 1724, 1723, 2164, 2186, 1745, 1744, 2185
1582, 2166, 1725, 1724, 2165, 2187, 1746, 1745, 2186
1583, 2167, 1726, 1725, 2166, 2188, 1747, 1746, 2187
1584, 2168, 1727, 1726, 2167, 2189, 1748, 1747, 2188
1585, 2169, 1728, 1727, 2168, 2190, 1749, 1748, 2189
1586, 2170, 1729, 1728, 2169, 2191, 1750, 1749, 2190
1587, 2171, 1730, 1729, 2170, 2192, 1751, 1750, 2191
1588, 2172, 1731, 1730, 2171, 2193, 1752, 1751, 2192
1589, 2173, 1732, 1731, 2172, 2194, 1753, 1752, 2193
1590, 2174, 1733, 1732, 2173, 2195, 1754, 1753, 2194
1591, 2175, 1734, 1733, 2174, 2196, 1755, 1754, 2195
1592, 2176, 1735, 1734, 2175, 2197, 1756, 1755, 2196
1593, 2177, 1736, 1735, 2176, 2198, 1757, 1756, 2197
1594, 2178, 1737, 1736, 2177, 2199, 1758, 1757, 2198
1595, 2179, 1738, 1737, 2178, 2200, 1759, 1758, 2199
1596, 2180, 1739, 1738, 2179, 2201, 1760, 1759, 2200
1597, 2181, 1740, 1739, 2180, 2202, 1761, 1760, 2201
1598, 2182, 1741, 1740, 2181, 2203, 1762, 1761, 2202
1599, 2183, 1742, 1741, 2182, 2204, 1763, 1762, 2203
1600, 2184, 1743, 1742, 2183, 2205, 1764, 1763, 2204
1601, 2207, 1766, 1765, 2206, 2228, 1787, 1786, 2227
1602, 2208, 1767, 1766, 2207, 2229, 1788, 1787, 2228
1603, 2209, 1768, 1767, 2208, 2230, 1789, 1788, 2229
1604, 2210, 1769, 1768, 2209, 2231, 1790, 1789, 2230
1605, 2211, 1770, 1769, 2210, 2232, 1791, 1790, 2231
1606, 2212, 1771, 1770, 2211, 2233, 1792, 1791, 2232
1607, 2213, 1772, 1771, 2212, 2234, 1793, 1792, 2233
1608, 2214, 1773, 1772, 2213, 2235, 1794, 1793, 2234
1609, 2215, 1774, 1773, 2214, 2236, 1795, 1794, 2235
1610, 2216, 1775, 1774, 2215, 2237, 1796, 1795, 2236
1611, 2217, 1776, 1775, 2216, 2238, 1797, 1796, 2237
1612, 2218, 1777, 1776, 2217, 2239, 1798, 1797, 2238
1613, 2219, 1778, 1777, 2218, 2240, 1799, 1798, 2239
1614, 2220, 1779, 1778, 2219, 2241, 1800, 1799, 2240
1615, 2221, 1780, 1779, 2220, 2242, 1801, 1800, 2241
1616, 2222, 1781, 1780, 2221, 2243, 1802, 1801, 2242
1617, 2223, 1782, 1781, 2222, 2244, 1803, 1802, 2243
1618, 2224, 1783, 1782, 2223, 2245, 1804, 1803, 2244
1619, 2225, 1784, 1783, 2224, 2246, 1805, 1804, 2245
1620, 2226, 1785, 1784, 2225, 2247, 1806, 1805, 2246
1621, 2228, 1787, 1786, 2227, 2249, 1808, 1807, 2248
1622, 2229, 1788, 1787, 2228, 2250, 1809, 1808, 2249
1623, 2230, 1789, 1788, 2229, 2251, 1810, 1809, 2250
1624, 2231, 1790, 1789, 2230, 2252, 1811, 1810, 2251
1625, 2232, 1791, 1790, 2231, 2253, 1812, 1811, 2252
1626, 2233, 1792, 1791, 2232, 2254, 1813, 1812, 2253
1627, 2234, 1793, 1792, 2233, 2255, 1814, 1813, 2254
1628, 2235, 1794, 1793, 2234, 2256, 1815, 1814, 2255
1629, 2236, 1795, 1794, 2235, 2257, 1816, 1815, 2256
1630, 2237, 1796, 1795, 2236, 2258, 1817, 1816, 2257
1631, 2238, 1797, 1796, 2237, 2259, 1818, 1817, 2258
1632, 2239, 1798, 1797, 2238, 2260, 1819, 1818, 2259
1633, 2240, 1799, 1798, 2239, 2261, 1820, 1819, 2260
1634, 2241, 1800, 1799, 2240, 2262, 1821, 1820, 2261
1635, 2242, 1801, 1800, 2241, 2263, 1822, 1821, 2262
1636, 2243, 1802, 1801, 2242, 2264, 1823, 1822, 2263
1637, 2244, 1803, 1802, 2243, 2265, 1824, 1823, 2264
1638, 2245, 1804, 1803, 2244, 2266, 1825, 1824, 2265
1639, 2246, 1805, 1804, 2245, 2267, 1826, 1825, 2266
1640, 2247, 1806, 1805, 2246, 2268, 1827, 1826, 2267
1641, 2249, 1808, 1807, 2248, 2270, 1829, 1828, 2269
1642, 2250, 1809, 1808, 2249, 2271, 1830, 1829, 2270
1643, 2251, 1810, 1809, 2250, 2272, 1831, 1830, 2271
1644, 2252, 1811, 1810, 2251, 2273, 1832, 1831, 2272
1645, 2253, 1812, 1811, 2252, 2274, 1833, 1832, 2273
1646, 2254, 1813, 1812, 2253, 2275, 1834, 1833, 2274
1647, 2255, 1814, 1813, 2254, 2276, 1835, 1834, 2275
1648, 2256, 1815, 1814, 2255, 2277, 1836, 1835, 2276
1649, 2257, 1816, 1815, 2256, 2278, 1837, 1836, 2277
1650, 2258, 1817, 1816, 2257, 2279, 1838, 1837, 2278
1651, 2259, 1818, 1817, 2258, 2280, 1839, 1838, 2279
1652, 2260, 1819, 1818, 2259, 2281, 1840, 1839, 2280
1653, 2261, 1820, 1819, 2260, 2282, 1841, 1840, 2281
1654, 2262, 1821, 1820, 2261, 2283, 1842, 1841, 2282
1655, 2263, 1822, 1821, 2262, 2284, 1843, 1842, 2283
1656, 2264, 1823, 1822, 2263, 2285, 1844, 1843, 2284
1657, 2265, 1824, 1823, 2264, 2286, 1845, 1844, 2285
1658, 2266, 1825, 1824, 2265, 2287, 1846, 1845, 2286
1659, 2267, 1826, 1825, 2266, 2288, 1847, 1846, 2287
1660, 2268, 1827, 1826, 2267, 2289, 1848, 1847, 2288
1661, 2270, 1829, 1828, 2269, 2291, 1850, 1849, 2290
1662, 2271, 1830, 1829, 2270, 2292, 1851, 1850, 2291
1663, 2272, 1831, 1830, 2271, 2293, 1852, 1851, 2292
1664, 2273, 1832, 1831, 2272, 2294, 1853, 1852, 2293
1665, 2274, 1833, 1832, 2273, 2295, 1854, 1853, 2294
1666, 2275, 1834, 1833, 2274, 2296, 1855, 1854, 2295
1667, 2276, 1835, 1834, 2275, 2297, 1856, 1855, 2296
1668, 2277, 1836, 1835, 2276, 2298, 1857, 1856, 2297
1669, 2278, 1837, 1836, 2277, 2299, 1858, 1857, 2298
1670, 2279, 1838, 1837, 2278, 2300, 1859, 1858, 2299
1671, 2280, 1839, 1838, 2279, 2301, 1860, 1859, 2300
1672, 2281, 1840, 1839, 2280, 2302, 1861, 1860, 2301
1673, 2282, 1841, 1840, 2281, 2303, 1862, 1861, 2302
1674, 2283, 1842, 1841, 2282, 2304, 1863, 1862, 2303
1675, 2284, 1843, 1842, 2283, 2305, 1864, 1863, 2304
1676, 2285, 1844, 1843, 2284, 2306, 1865, 1864, 2305
1677, 2286, 1845, 1844, 2285, 2307, 1866, 1865, 2306
1678, 2287, 1846, 1845, 2286, 2308, 1867, 1866, 2307
1679, 2288, 1847, 1846, 2287, 2309, 1868, 1867, 2308
1680, 2289, 1848, 1847, 2288, 2310, 1869, 1868, 2309
1681, 2291, 1850, 1849, 2290, 2312, 1871, 1870, 2311
1682, 2292, 1851, 1850, 2291, 2313, 1872, 1871, 2312
1683, 2293, 1852, 1851, 2292, 2314, 1873, 1872, 2313
1684, 2294, 1853, 1852, 2293, 2315, 1874, 1873, 2314
1685, 2295, 1854, 1853, 2294, 2316, 1875, 1874, 2315
1686, 2296, 1855, 1854, 2295, 2317, 1876, 1875, 2316
1687, 2297, 1856, 1855, 2296, 2318, 1877, 1876, 2317
1688, 2298, 1857, 1856, 2297, 2319, 1878, 1877, 2318
1689, 2299, 1858, 1857, 2298, 2320, 1879, 1878, 2319
1690, 2300, 1859, 1858, 2299, 2321, 1880, 1879, 2320
1691, 2301, 1860, 1859, 2300, 2322, 1881, 1880, 2321
1692, 2302, 1861, 1860, 2301, 2323, 1882, 1881, 2322
1693, 2303, 1862, 1861, 2302, 2324, 1883, 1882, 2323
1694, 2304, 1863, 1862, 2303, 2325, 1884, 1883, 2324
1695, 2305, 1864, 1863, 2304, 2326, 1885, 1884, 2325
1696, 2306, 1865, 1864, 2305, 2327, 1886, 1885, 2326
1697, 2307, 1866, 1865, 2306, 2328, 1887, 1886, 2327
1698, 2308, 1867, 1866, 2307, 2329, 1888, 1887, 2328
1699, 2309, 1868, 1867, 2308, 2330, 1889, 1888, 2329
1700, 2310, 1869, 1868, 2309, 2331, 1890, 1889, 2330
1701, 2312, 1871, 1870, 2311, 2333, 1892, 1891, 2332
1702, 2313, 1872, 1871, 2312, 2334, 1893, 1892, 2333
1703, 2314, 1873, 1872, 2313, 2335, 1894, 1893, 2334
1704, 2315, 1874, 1873, 2314, 2336, 1895, 1894, 2335
1705, 2316, 1875, 1874, 2315, 2337, 1896, 1895, 2336
1706, 2317, 1876, 1875, 2316, 2338, 1897, 1896, 2337
1707, 2318, 1877, 1876, 2317, 2339, 1898, 1897, 2338
1708, 2319, 1878, 1877, 2318, 2340, 1899, 1898, 2339
1709, 2320, 1879, 1878, 2319, 2341, 1900, 1899, 2340
1710, 2321, 1880, 1879, 2320, 2342, 1901, 1900, 2341
1711, 2322, 1881, 1880, 2321, 2343, 1902, 1901, 2342
1712, 2323, 1882, 1881, 2322, 2344, 1903, 1902, 2343
1713, 2324, 1883, 1882, 2323, 2345, 1904, 1903, 2344
1714, 2325, 1884, 1883, 2324, 2346, 1905, 1904, 2345
1715, 2326, 1885, 1884, 2325, 2347, 1906, 1905, 2346
1716, 2327, 1886, 1885, 2326, 2348, 1907, 1906, 2347
1717, 2328, 1887, 1886, 2327, 2349, 1908, 1907, 2348
1718, 2329, 1888, 1887, 2328, 2350, 1909, 1908, 2349
1719, 2330, 1889, 1888, 2329, 2351, 1910, 1909, 2350
1720, 2331, 1890, 1889, 2330, 2352, 1911, 1910, 2351
1721, 2333, 1892, 1891, 2332, 2354, 1913, 1912, 2353
1722, 2334, 1893, 1892, 2333, 2355, 1914, 1913, 2354
1723, 2335, 1894, 1893, 2334, 2356, 1915, 1914, 2355
1724, 2336, 1895, 1894, 2335, 2357, 1916, 1915, 2356
1725, 2337, 1896, 1895, 2336, 2358, 1917, 1916, 2357
1726, 2338, 1897, 1896, 2337, 2359, 1918, 1917, 2358
1727, 2339, 1898, 1897, 2338, 2360, 1919, 1918, 2359
1728, 2340, 1899, 1898, 2339, 2361, 1920, 1919, 2360
1729, 2341, 1900, 1899, 2340, 2362, 1921, 1920, 2361
1730, 2342, 1901, 1900, 2341, 2363, 1922, 1921, 2362
1731, 2343, 1902, 1901, 2342, 2364, 1923, 1922, 2363
1732, 2344, 1903, 1902, 2343, 2365, 1924, 1923, 2364
1733, 2345, 1904, 1903, 2344, 2366, 1925, 1924, 2365
1734, 2346, 1905, 1904, 2345, 2367, 1926, 1925, 2366
1735, 2347, 1906, 1905, 2346, 2368, 1927, 1926, 2367
1736, 2348, 1907, 1906, 2347, 2369, 1928, 1927, 2368
1737, 2349, 1908, 1907, 2348, 2370, 1929, 1928, 2369
1738, 2350, 1909, 1908, 2349, 2371, 1930, 1929, 2370
1739, 2351, 1910, 1909, 2350, 2372, 1931, 1930, 2371
1740, 2352, 1911, 1910, 2351, 2373, 1932, 1931, 2372
1741, 2354, 1913, 1912, 2353, 2375, 1934, 1933, 2374
1742, 2355, 1914, 1913, 2354, 2376, 1935, 1934, 2375
1743, 2356, 1915, 1914, 2355, 2377, 1936, 1935, 2376
1744, 2357, 1916, 1915, 2356, 2378, 1937, 1936, 2377
1745, 2358, 1917, 1916, 2357, 2379, 1938, 1937, 2378
1746, 2359, 1918, 1917, 2358, 2380, 1939, 1938, 2379
1747, 2360, 1919, 1918, 2359, 2381, 1940, 1939, 2380
1748, 2361, 1920, 1919, 2360, 2382, 1941, 1940, 2381
1749, 2362, 1921, 1920, 2361, 2383, 1942, 1941, 2382
1750, 2363, 1922, 1921, 2362, 2384, 1943, 1942, 2383
1751, 2364, 1923, 1922, 2363, 2385, 1944, 1943, 2384
1752, 2365, 1924, 1923, 2364, 2386, 1945, 1944, 2385
1753, 2366, 1925, 1924, 2365, 2387, 1946, 1945, 2386
1754, 2367, 1926, 1925, 2366, 2388, 1947, 1946, 2387
1755, 2368, 1927, 1926, 2367, 2389, 1948, 1947, 2388
1756, 2369, 1928, 1927, 2368, 2390, 1949, 1948, 2389
1757, 2370, 1929, 1928, 2369, 2391, 1950, 1949, 2390
1758, 2371, 1930, 1929, 2370, 2392, 1951, 1950, 2391
1759, 2372, 1931, 1930, 2371, 2393, 1952, 1951, 2392
1760, 2373, 1932, 1931, 2372, 2394, 1953, 1952, 2393
1761, 2375, 1934, 1933, 2374, 2396, 1955, 1954, 2395
1762, 2376, 1935, 1934, 2375, 2397, 1956, 1955, 2396
1763, 2377, 1936, 1935, 2376, 2398, 1957, 1956, 2397
1764, 2378, 1937, 1936, 2377, 2399, 1958, 1957, 2398
1765, 2379, 1938, 1937, 2378, 2400, 1959, 1958, 2399
1766, 2380, 1939, 1938, 2379, 2401, 1960, 1959, 2400
1767, 2381, 1940, 1939, 2380, 2402, 1961, 1960, 2401
1768, 2382, 1941, 1940, 2381, 2403, 1962, 1961, 2402
1769, 2383, 1942, 1941, 2382, 2404, 1963, 1962, 2403
1770, 2384, 1943, 1942, 2383, 2405, 1964, 1963, 2404
1771, 2385, 1944, 1943, 2384, 2406, 1965, 1964, 2405
1772, 2386, 1945, 1944, 2385, 2407, 1966, 1965, 2406
1773, 2387, 1946, 1945, 2386, 2408, 1967, 1966, 2407
1774, 2388, 1947, 1946, 2387, 2409, 1968, 1967, 2408
1775, 2389, 1948, 1947, 2388, 2410, 1969, 1968, 2409
1776, 2390, 1949, 1948, 2389, 2411, 1970, 1969, 2410
1777, 2391, 1950, 1949, 2390, 2412, 1971, 1970, 2411
1778, 2392, 1951, 1950, 2391, 2413, 1972, 1971, 2412
1779, 2393, 1952, 1951, 2392, 2414, 1973, 1972, 2413
1780, 2394, 1953, 1952, 2393, 2415, 1974, 1973, 2414
1781, 2396, 1955, 1954, 2395, 2417, 1976, 1975, 2416
1782, 2397, 1956, 1955, 2396, 2418, 1977, 1976, 2417
1783, 2398, 1957, 1956, 2397, 2419, 1978, 1977, 2418
1784, 2399, 1958, 1957, 2398, 2420, 1979, 1978, 2419
1785, 2400, 1959, 1958, 2399, 2421, 1980, 1979, 2420
1786, 2401, 1960, 1959, 2400, 2422, 1981, 1980, 2421
1787, 2402, 1961, 1960, 2401, 2423, 1982, 1981, 2422
1788, 2403, 1962, 1961, 2402, 2424, 1983, 1982, 2423
1789, 2404, 1963, 1962, 2403, 2425, 1984, 1983, 2424
1790, 2405, 1964, 1963, 2404, 2426, 1985, 1984, 2425
1791, 2406, 1965, 1964, 2405, 2427, 1986, 1985, 2426
1792, 2407, 1966, 1965, 2406, 2428, 1987, 1986, 2427
1793, 2408, 1967, 1966, 2407, 2429, 1988, 1987, 2428
1794, 2409, 1968, 1967, 2408, 2430, 1989, 1988, 2429
1795, 2410, 1969, 1968, 2409, 2431, 1990, 1989, 2430
1796, 2411, 1970, 1969, 2410, 2432, 1991, 1990, 2431
1797, 2412, 1971, 1970, 2411, 2433, 1992, 1991, 2432
1798, 2413, 1972, 1971, 2412, 2434, 1993, 1992, 2433
1799, 2414, 1973, 1972, 2413, 2435, 1994, 1993, 2434
1800, 2415, 1974, 1973, 2414, 2436, 1995, 1994, 2435
1801, 2417, 1976, 1975, 2416, 2438, 1997, 1996, 2437
1802, 2418, 1977, 1976, 2417, 2439, 1998, 1997, 2438
1803, 2419, 1978, 1977, 2418, 2440, 1999, 1998, 2439
1804, 2420, 1979, 1978, 2419, 2441, 2000, 1999, 2440
1805, 2421, 1980, 1979, 2420, 2442, 2001, 2000, 2441
1806, 2422, 1981, 1980, 2421, 2443, 2002, 2001, 2442
1807, 2423, 1982, 1981, 2422, 2444, 2003, 2002, 2443
1808, 2424, 1983, 1982, 2423, 2445, 2004, 2003, 2444
1809, 2425, 1984, 1983, 2424, 2446, 2005, 2004, 2445
1810, 2426, 1985, 1984, 2425, 2447, 2006, 2005, 2446
1811, 2427, 1986, 1985, 2426, 2448, 2007, 2006, 2447
1812, 2428, 1987, 1986, 2427, 2449, 2008, 2007, 2448
1813, 2429, 1988, 1987, 2428, 2450, 2009, 2008, 2449
1814, 2430, 1989, 1988, 2429, 2451, 2010, 2009, 2450
1815, 2431, 1990, 1989, 2430, 2452, 2011, 2010, 2451
1816, 2432, 1991, 1990, 2431, 2453, 2012, 2011, 2452
1817, 2433, 1992, 1991, 2432, 2454, 2013, 2012, 2453
1818, 2434, 1993, 1992, 2433, 2455, 2014, 2013, 2454
1819, 2435, 1994, 1993, 2434, 2456, 2015, 2014, 2455
1820, 2436, 1995, 1994, 2435, 2457, 2016, 2015, 2456
1821, 2438, 1997, 1996, 2437, 2459, 2018, 2017, 2458
1822, 2439, 1998, 1997, 2438, 2460, 2019, 2018, 2459
1823, 2440, 1999, 1998, 2439, 2461, 2020, 2019, 2460
1824, 2441, 2000, 1999, 2440, 2462, 2021, 2020, 2461
1825, 2442, 2001, 2000, 2441, 2463, 2022, 2021, 2462
1826, 2443, 2002, 2001, 2442, 2464, 2023, 2022, 2463
1827, 2444, 2003, 2002, 2443, 2465, 2024, 2023, 2464
1828, 2445, 2004, 2003, 2444, 2466, 2025, 2024, 2465
1829, 2446, 2005, 2004, 2445, 2467, 2026, 2025, 2466
1830, 2447, 2006, 2005, 2446, 2468, 2027, 2026, 2467
1831, 2448, 2007, 2006, 2447, 2469, 2028, 2027, 2468
1832, 2449, 2008, 2007, 2448, 2470, 2029, 2028, 2469
1833, 2450, 2009, 2008, 2449, 2471, 2030, 2029, 2470
1834, 2451, 2010, 2009, 2450, 2472, 2031, 2030, 2471
1835, 2452, 2011, 2010, 2451, 2473, 2032, 2031, 2472
1836, 2453, 2012, 2011, 2452, 2474, 2033, 2032, 2473
1837, 2454, 2013, 2012, 2453, 2475, 2034, 2033, 2474
1838, 2455, 2014, 2013, 2454, 2476, 2035, 2034, 2475
1839, 2456, 2015, 2014, 2455, 2477, 2036, 2035, 2476
1840, 2457, 2016, 2015, 2456, 2478, 2037, 2036, 2477
1841, 2459, 2018, 2017, 2458, 2480, 2039, 2038, 2479
1842, 2460, 2019, 2018, 2459, 2481, 2040, 2039, 2480
1843, 2461, 2020, 2019, 2460, 2482, 2041, 2040, 2481
1844, 2462, 2021, 2020, 2461, 2483, 2042, 2041, 2482
1845, 2463, 2022, 2021, 2462, 2484, 2043, 2042, 2483
1846, 2464, 2023, 2022, 2463, 2485, 2044, 2043, 2484
1847, 2465, 2024, 2023, 2464, 2486, 2045, 2044, 2485
1848, 2466, 2025, 2024, 2465, 2487, 2046, 2045, 2486
1849, 2467, 2026, 2025, 2466, 2488, 2047, 2046, 2487
1850, 2468, 2027, 2026, 2467, 2489, 2048, 2047, 2488
1851, 2469, 2028, 2027, 2468, 2490, 2049, 2048, 2489
1852, 2470, 2029, 2028, 2469, 2491, 2050, 2049, 2490
1853, 2471, 2030, 2029, 2470, 2492, 2051, 2050, 2491
1854, 2472, 2031, 2030, 2471, 2493, 2052, 2051, 2492
1855, 2473, 2032, 2031, 2472, 2494, 2053, 2052, 2493
1856, 2474, 2033, 2032, 2473, 2495, 2054, 2053, 2494
1857, 2475, 2034, 2033, 2474, 2496, 2055, 2054, 2495
1858, 2476, 2035, 2034, 2475, 2497, 2056, 2055, 2496
1859, 2477, 2036, 2035, 2476, 2498, 2057, 2056, 2497
1860, 2478, 2037, 2036, 2477, 2499, 2058, 2057, 2498
1861, 2480, 2039, 2038, 2479, 2501, 2060, 2059, 2500
1862, 2481, 2040, 2039, 2480, 2502, 2061, 2060, 2501
1863, 2482, 2041, 2040, 2481, 2503, 2062, 2061, 2502
1864, 2483, 2042, 2041, 2482, 2504, 2063, 2062, 2503
1865, 2484, 2043, 2042, 2483, 2505, 2064, 2063, 2504
1866, 2485, 2044, 2043, 2484, 2506, 2065, 2064, 2505
1867, 2486, 2045, 2044, 2485, 2507, 2066, 2065, 2506
1868, 2487, 2046, 2045, 2486, 2508, 2067, 2066, 2507
1869, 2488, 2047, 2046, 2487, 2509, 2068, 2067, 2508
1870, 2489, 2048, 2047, 2488, 2510, 2069, 2068, 2509
1871, 2490, 2049, 2048, 2489, 2511, 2070, 2069, 2510
1872, 2491, 2050, 2049, 2490, 2512, 2071, 2070, 2511
1873, 2492, 2051, 2050, 2491, 2513, 2072, 2071, 2512
1874, 2493, 2052, 2051, 2492, 2514, 2073, 2072, 2513
1875, 2494, 2053, 2052, 2493, 2515, 2074, 2073, 2514
1876, 2495, 2054, 2053, 2494, 2516, 2075, 2074, 2515
1877, 2496, 2055, 2054, 2495, 2517, 2076, 2075, 2516
1878, 2497, 2056, 2055, 2496, 2518, 2077, 2076, 2517
1879, 2498, 2057, 2056, 2497, 2519, 2078, 2077, 2518
1880, 2499, 2058, 2057, 2498, 2520, 2079, 2078, 2519
1881, 2501, 2060, 2059, 2500, 2522, 2081, 2080, 2521
1882, 2502, 2061, 2060, 2501, 2523, 2082, 2081, 2522
1883, 2503, 2062, 2061, 2502, 2524, 2083, 2082, 2523
1884, 2504, 2063, 2062, 2503, 2525, 2084, 2083, 2524
1885, 2505, 2064, 2063, 2504, 2526, 2085, 2084, 2525
1886, 2506, 2065, 2064, 2505, 2527, 2086, 2085, 2526
1887, 2507, 2066, 2065, 2506, 2528, 2087, 2086, 2527
1888, 2508, 2067, 2066, 2507, 2529, 2088, 2087, 2528
1889, 2509, 2068, 2067, 2508, 2530, 2089, 2088, 2529
1890, 2510, 2069, 2068, 2509, 2531, 2090, 2089, 2530
1891, 2511, 2070, 2069, 2510, 2532, 2091, 2090, 2531
1892, 2512, 2071, 2070, 2511, 2533, 2092, 2091, 2532
1893, 2513, 2072, 2071, 2512, 2534, 2093, 2092, 2533
1894, 2514, 2073, 2072, 2513, 2535, 2094, 2093, 2534
1895, 2515, 2074, 2073, 2514, 2536, 2095, 2094, 2535
1896, 2516, 2075, 2074, 2515, 2537, 2096, 2095, 2536
1897, 2517, 2076, 2075, 2516, 2538, 2097, 2096, 2537
1898, 2518, 2077, 2076, 2517, 2539, 2098, 2097, 2538
1899, 2519, 2078, 2077, 2518, 2540, 2099, 2098, 2539
1900, 2520, 2079, 2078, 2519, 2541, 2100, 2099, 2540
1901, 2522, 2081, 2080, 2521, 2543, 2102, 2101, 2542
1902, 2523, 2082, 2081, 2522, 2544, 2103, 2102, 2543
1903, 2524, 2083, 2082, 2523, 2545, 2104, 2103, 2544
1904, 2525, 2084, 2083, 2524, 2546, 2105, 2104, 2545
1905, 2526, 2085, 2084, 2525, 2547, 2106, 2105, 2546
1906, 2527, 2086, 2085, 2526, 2548, 2107, 2106, 2547
1907, 2528, 2087, 2086, 2527, 2549, 2108, 2107, 2548
1908, 2529, 2088, 2087, 2528, 2550, 2109, 2108, 2549
1909, 2530, 2089, 2088, 2529, 2551, 2110, 2109, 2550
1910, 2531, 2090, 2089, 2530, 2552, 2111, 2110, 2551
1911, 2532, 2091, 2090, 2531, 2553, 2112, 2111, 2552
1912, 2533, 2092, 2091, 2532, 2554, 2113, 2112, 2553
1913, 2534, 2093, 2092, 2533, 2555, 2114, 2113, 2554
1914, 2535, 2094, 2093, 2534, 2556, 2115, 2114, 2555
1915, 2536, 2095, 2094, 2535, 2557, 2116, 2115, 2556
1916, 2537, 2096, 2095, 2536, 2558, 2117, 2116, 2557
1917, 2538, 2097, 2096, 2537, 2559, 2118, 2117, 2558
1918, 2539, 2098, 2097, 2538, 2560, 2119, 2118, 2559
1919, 2540, 2099, 2098, 2539, 2561, 2120, 2119, 2560
1920, 2541, 2100, 2099, 2540, 2562, 2121, 2120, 2561
1921, 2543, 2102, 2101, 2542, 2564, 2123, 2122, 2563
1922, 2544, 2103, 2102, 2543, 2565, 2124, 2123, 2564
1923, 2545, 2104, 2103, 2544, 2566, 2125, 2124, 2565
1924, 2546, 2105, 2104, 2545, 2567, 2126, 2125, 2566
1925, 2547, 2106, 2105, 2546, 2568, 2127, 2126, 2567
1926, 2548, 2107, 2106, 2547, 2569, 2128, 2127, 2568
1927, 2549, 2108, 2107, 2548, 2570, 2129, 2128, 2569
1928, 2550, 2109, 2108, 2549, 2571, 2130, 2129, 2570
1929, 2551, 2110, 2109, 2550, 2572, 2131, 2130, 2571
1930, 2552, 2111, 2110, 2551, 2573, 2132, 2131, 2572
1931, 2553, 2112, 2111, 2552, 2574, 2133, 2132, 2573
1932, 2554, 2113, 2112, 2553, 2575, 2134, 2133, 2574
1933, 2555, 2114, 2113, 2554, 2576, 2135, 2134, 2575
1934, 2556, 2115, 2114, 2555, 2577, 2136, 2135, 2576
1935, 2557, 2116, 2115, 2556, 2578, 2137, 2136, 2577
1936, 2558, 2117, 2116, 2557, 2579, 2138, 2137, 2578
1937, 2559, 2118, 2117, 2558, 2580, 2139, 2138, 2579
1938, 2560, 2119, 2118, 2559, 2581, 2140, 2139, 2580
1939, 2561, 2120, 2119, 2560, 2582, 2141, 2140, 2581
1940, 2562, 2121, 2120, 2561, 2583, 2142, 2141, 2582
1941, 2564, 2123, 2122, 2563, 2585, 2144, 2143, 2584
1942, 2565, 2124, 2123, 2564, 2586, 2145, 2144, 2585
1943, 2566, 2125, 2124, 2565, 2587, 2146, 2145, 2586
1944, 2567, 2126, 2125, 2566, 2588, 2147, 2146, 2587
1945, 2568, 2127, 2126, 2567, 2589, 2148, 2147, 2588
1946, 2569, 2128, 2127, 2568, 2590, 2149, 2148, 2589
1947, 2570, 2129, 2128, 2569, 2591, 2150, 2149, 2590
1948, 2571, 2130, 2129, 2570, 2592, 2151, 2150, 2591
1949, 2572, 2131, 2130, 2571, 2593, 2152, 2151, 2592
1950, 2573, 2132, 2131, 2572, 2594, 2153, 2152, 2593
1951, 2574, 2133, 2132, 2573, 2595, 2154, 2153, 2594
1952, 2575, 2134, 2133, 2574, 2596, 2155, 2154, 2595
1953, 2576, 2135, 2134, 2575, 2597, 2156, 2155, 2596
1954, 2577, 2136, 2135, 2576, 2598, 2157, 2156, 2597
1955, 2578, 2137, 2136, 2577, 2599, 2158, 2157, 2598
1956, 2579, 2138, 2137, 2578, 2600, 2159, 2158, 2599
1957, 2580, 2139, 2138, 2579, 2601, 2160, 2159, 2600
1958, 2581, 2140, 2139, 2580, 2602, 2161, 2160, 2601
1959, 2582, 2141, 2140, 2581, 2603, 2162, 2161, 2602
1960, 2583, 2142, 2141, 2582, 2604, 2163, 2162, 2603
1961, 2585, 2144, 2143, 2584, 2606, 2165, 2164, 2605
1962, 2586, 2145, 2144, 2585, 2607, 2166, 2165, 2606
1963, 2587, 2146, 2145, 2586, 2608, 2167, 2166, 2607
1964, 2588, 2147, 2146, 2587, 2609, 2168, 2167, 2608
1965, 2589, 2148, 2147, 2588, 2610, 2169, 2168, 2609
1966, 2590, 2149, 2148, 2589, 2611, 2170, 2169, 2610
1967, 2591, 2150, 2149, 2590, 2612, 2171, 2170, 2611
1968, 2592, 2151, 2150, 2591, 2613, 2172, 2171, 2612
1969, 2593, 2152, 2151, 2592, 2614, 2173, 2172, 2613
1970, 2594, 2153, 2152, 2593, 2615, 2174, 2173, 2614
1971, 2595, 2154, 2153, 2594, 2616, 2175, 2174, 2615
1972, 2596, 2155, 2154, 2595, 2617, 2176, 2175, 2616
1973, 2597, 2156, 2155, 2596, 2618, 2177, 2176, 2617
1974, 2598, 2157, 2156, 2597, 2619, 2178, 2177, 2618
1975, 2599, 2158, 2157, 2598, 2620, 2179, 2178, 2619
1976, 2600, 2159, 2158, 2599, 2621, 2180, 2179, 2620
1977, 2601, 2160, 2159, 2600, 2622, 2181, 2180, 2621
1978, 2602, 2161, 2160, 2601, 2623, 2182, 2181, 2622
1979, 2603, 2162, 2161, 2602, 2624, 2183, 2182, 2623
1980, 2604, 2163, 2162, 2603, 2625, 2184, 2183, 2624
1981, 2606, 2165, 2164, 2605, 2627, 2186, 2185, 2626
1982, 2607, 2166, 2165, 2606, 2628, 2187, 2186, 2627
1983, 2608, 2167, 2166, 2607, 2629, 2188, 2187, 2628
1984, 2609, 2168, 2167, 2608, 2630, 2189, 2188, 2629
1985, 2610, 2169, 2168, 2609, 2631, 2190, 2189, 2630
1986, 2611, 2170, 2169, 2610, 2632, 2191, 2190, 2631
1987, 2612, 2171, 2170, 2611, 2633, 2192, 2191, 2632
1988, 2613, 2172, 2171, 2612, 2634, 2193, 2192, 2633
1989, 2614, 2173, 2172, 2613, 2635, 2194, 2193, 2634
1990, 2615, 2174, 2173, 2614, 2636, 2195, 2194, 2635
1991, 2616, 2175, 2174, 2615, 2637, 2196, 2195, 2636
1992, 2617, 2176, 2175, 2616, 2638, 2197, 2196, 2637
1993, 2618, 2177, 2176, 2617, 2639, 2198, 2197, 2638
1994, 2619, 2178, 2177, 2618, 2640, 2199, 2198, 2639
1995, 2620, 2179, 2178, 2619, 2641, 2200, 2199, 2640
1996, 2621, 2180, 2179, 2620, 2642, 2201, 2200, 2641
1997, 2622, 2181, 2180, 2621, 2643, 2202, 2201, 2642
1998, 2623, 2182, 2181, 2622, 2644, 2203, 2202, 2643
1999, 2624, 2183, 2182, 2623, 2645, 2204, 2203, 2644
2000, 2625, 2184, 2183, 2624, 2646, 2205, 2204, 2645
2001, 2648, 2207, 2206, 2647, 2669, 2228, 2227, 2668
2002, 2649, 2208, 2207, 2648, 2670, 2229, 2228, 2669
2003, 2650, 2209, 2208, 2649, 2671, 2230, 2229, 2670
2004, 2651, 2210, 2209, 2650, 2672, 2231, 2230, 2671
2005, 2652, 2211, 2210, 2651, 2673, 2232, 2231, 2672
2006, 2653, 2212, 2211, 2652, 2674, 2233, 2232, 2673
2007, 2654, 2213, 2212, 2653, 2675, 2234, 2233, 2674
2008, 2655, 2214, 2213, 2654, 2676, 2235, 2234, 2675
2009, 2656, 2215, 2214, 2655, 2677, 2236, 2235, 2676
2010, 2657, 2216, 2215, 2656, 2678, 2237, 2236, 2677
2011, 2658, 2217, 2216, 2657, 2679, 2238, 2237, 2678
2012, 2659, 2218, 2217, 2658, 2680, 2239, 2238, 2679
2013, 2660, 2219, 2218, 2659, 2681, 2240, 2239, 2680
2014, 2661, 2220, 2219, 2660, 2682, 2241, 2240, 2681
2015, 2662, 2221, 2220, 2661, 2683, 2242, 2241, 2682
2016, 2663, 2222, 2221, 2662, 2684, 2243, 2242, 2683
2017, 2664, 2223, 2222, 2663, 2685, 2244, 2243, 2684
2018, 2665, 2224, 2223, 2664, 2686, 2245, 2244, 2685
2019, 2666, 2225, 2224, 2665, 2687, 2246, 2245, 2686
2020, 2667, 2226, 2225, 2666, 2688, 2247, 2246, 2687
2021, 2669, 2228, 2227, 2668, 2690, 2249, 2248, 2689
2022, 2670, 2229, 2228, 2669, 2691, 2250, 2249, 2690
2023, 2671, 2230, 2229, 2670, 2692, 2251, 2250, 2691
2024, 2672, 2231, 2230, 2671, 2693, 2252, 2251, 2692
2025, 2673, 2232, 2231, 2672, 2694, 2253, 2252, 2693
2026, 2674, 2233, 2232, 2673, 2695, 2254, 2253, 2694
2027, 2675, 2234, 2233, 2674, 2696, 2255, 2254, 2695
2028, 2676, 2235, 2234, 2675, 2697, 2256, 2255, 2696
2029, 2677, 2236, 2235, 2676, 2698, 2257, 2256, 2697
2030, 2678, 2237, 2236, 2677, 2699, 2258, 2257, 2698
2031, 2679, 2238, 2237, 2678, 2700, 2259, 2258, 2699
2032, 2680, 2239, 2238, 2679, 2701, 2260, 2259, 2700
2033, 2681, 2240, 2239, 2680, 2702, 2261, 2260, 2701
2034, 2682, 2241, 2240, 2681, 2703, 2262, 2261, 2702
2035, 2683, 2242, 2241, 2682, 2704, 2263, 2262, 2703
2036, 2684, 2243, 2242, 2683, 2705, 2264, 2263, 2704
2037, 2685, 2244, 2243, 2684, 2706, 2265, 2264, 2705
2038, 2686, 2245, 2244, 2685, 2707, 2266, 2265, 2706
2039, 2687, 2246, 2245, 2686, 2708, 2267, 2266, 2707
2040, 2688, 2247, 2246, 2687, 2709, 2268, 2267, 2708
2041, 2690, 2249, 2248, 2689, 2711, 2270, 2269, 2710
2042, 2691, 2250, 2249, 2690, 2712, 2271, 2270, 2711
2043, 2692, 2251, 2250, 2691, 2713, 2272, 2271, 2712
2044, 2693, 2252, 2251, 2692, 2714, 2273, 2272, 2713
2045, 2694, 2253, 2252, 2693, 2715, 2274, 2273, 2714
2046, 2695, 2254, 2253, 2694, 2716, 2275, 2274, 2715
2047, 2696, 2255, 2254, 2695, 2717, 2276, 2275, 2716
2048, 2697, 2256, 2255, 2696, 2718, 2277, 2276, 2717
2049, 2698, 2257, 2256, 2697, 2719, 2278, 2277, 2718
2050, 2699, 2258, 2257, 2698, 2720, 2279, 2278, 2719
2051, 2700, 2259, 2258, 2699, 2721, 2280, 2279, 2720
2052, 2701, 2260, 2259, 2700, 2722, 2281, 2280, 2721
2053, 2702, 2261, 2260, 2701, 2723, 2282, 2281, 2722
2054, 2703, 2262, 2261, 2702, 2724, 2283, 2282, 2723
2055, 2704, 2263, 2262, 2703, 2725, 2284, 2283, 2724
2056, 2705, 2264, 2263, 2704, 2726, 2285, 2284, 2725
2057, 2706, 2265, 2264, 2705, 2727, 2286, 2285, 2726
2058, 2707, 2266, 2265, 2706, 2728, 2287, 2286, 2727
2059, 2708, 2267, 2266, 2707, 2729, 2288, 2287, 2728
2060, 2709, 2268, 2267, 2708, 2730, 2289, 2288, 2729
2061, 2711, 2270, 2269, 2710, 2732, 2291, 2290, 2731
2062, 2712, 2271, 2270, 2711, 2733, 2292, 2291, 2732
2063, 2713, 2272, 2271, 2712, 2734, 2293, 2292, 2733
2064, 2714, 2273, 2272, 2713, 2735, 2294, 2293, 2734
2065, 2715, 2274, 2273, 2714, 2736, 2295, 2294, 2735
2066, 2716, 2275, 2274, 2715, 2737, 2296, 2295, 2736
2067, 2717, 2276, 2275, 2716, 2738, 2297, 2296, 2737
2068, 2718, 2277, 2276, 2717, 2739, 2298, 2297, 2738
2069, 2719, 2278, 2277, 2718, 2740, 2299, 2298, 2739
2070, 2720, 2279, 2278, 2719, 2741, 2300, 2299, 2740
2071, 2721, 2280, 2279, 2720, 2742, 2301, 2300, 2741
2072, 2722, 2281, 2280, 2721, 2743, 2302, 2301, 2742
2073, 2723, 2282, 2281, 2722, 2744, 2303, 2302, 2743
2074, 2724, 2283, 2282, 2723, 2745, 2304, 2303, 2744
2075, 2725, 2284, 2283, 2724, 2746, 2305, 2304, 2745
2076, 2726, 2285, 2284, 2725, 2747, 2306, 2305, 2746
2077, 2727, 2286, 2285, 2726, 2748, 2307, 2306, 2747
2078, 2728, 2287, 2286, 2727, 2749, 2308, 2307, 2748
2079, 2729, 2288, 2287, 2728, 2750, 2309, 2308, 2749
2080, 2730, 2289, 2288, 2729, 2751, 2310, 2309, 2750
2081, 2732, 2291, 2290, 2731, 2753, 2312, 2311, 2752
2082, 2733, 2292, 2291, 2732, 2754, 2313, 2312, 2753
2083, 2734, 2293, 2292, 2733, 2755, 2314, 2313, 2754
2084, 2735, 2294, 2293, 2734, 2756, 2315, 2314, 2755
2085, 2736, 2295, 2294, 2735, 2757, 2316, 2315, 2756
2086, 2737, 2296, 2295, 2736, 2758, 2317, 2316, 2757
2087, 2738, 2297, 2296, 2737, 2759, 2318, 2317, 2758
2088, 2739, 2298, 2297, 2738, 2760, 2319, 2318, 2759
2089, 2740, 2299, 2298, 2739, 2761, 2320, 2319, 2760
2090, 2741, 2300, 2299, 2740, 2762, 2321, 2320, 2761
2091, 2742, 2301, 2300, 2741, 2763, 2322, 2321, 2762
2092, 2743, 2302, 2301, 2742, 2764, 2323, 2322, 2763
2093, 2744, 2303, 2302, 2743, 2765, 2324, 2323, 2764
2094, 2745, 2304, 2303, 2744, 2766, 2325, 2324, 2765
2095, 2746, 2305, 2304, 2745, 2767, 2326, 2325, 2766
2096, 2747, 2306, 2305, 2746, 2768, 2327, 2326, 2767
2097, 2748, 2307, 2306, 2747, 2769, 2328, 2327, 2768
2098, 2749, 2308, 2307, 2748, 2770, 2329, 2328, 2769
2099, 2750, 2309, 2308, 2749, 2771, 2330, 2329, 2770
2100, 2751, 2310, 2309, 2750, 2772, 2331, 2330, 2771
2101, 2753, 2312, 2311, 2752, 2774, 2333, 2332, 2773
2102, 2754, 2313, 2312, 2753, 2775, 2334, 2333, 2774
2103, 2755, 2314, 2313, 2754, 2776, 2335, 2334, 2775
2104, 2756, 2315, 2314, 2755, 2777, 2336, 2335, 2776
2105, 2757, 2316, 2315, 2756, 2778, 2337, 2336, 2777
2106, 2758, 2317, 2316, 2757, 2779, 2338, 2337, 2778
2107, 2759, 2318, 2317, 2758, 2780, 2339, 2338, 2779
2108, 2760, 2319, 2318, 2759, 2781, 2340, 2339, 2780
2109, 2761, 2320, 2319, 2760, 2782, 2341, 2340, 2781
2110, 2762, 2321, 2320, 2761, 2783, 2342, 2341, 2782
2111, 2763, 2322, 2321, 2762, 2784, 2343, 2342, 2783
2112, 2764, 2323, 2322, 2763, 2785, 2344, 2343, 2784
2113, 2765, 2324, 2323, 2764, 2786, 2345, 2344, 2785
2114, 2766, 2325, 2324, 2765, 2787, 2346, 2345, 2786
2115, 2767, 2326, 2325, 2766, 2788, 2347, 2346, 2787
2116, 2768, 2327, 2326, 2767, 2789, 2348, 2347, 2788
2117, 2769, 2328, 2327, 2768, 2790, 2349, 2348, 2789
2118, 2770, 2329, 2328, 2769, 2791, 2350, 2349, 2790
2119, 2771, 2330, 2329, 2770, 2792, 2351, 2350, 2791
2120, 2772, 2331, 2330, 2771, 2793, 2352, 2351, 2792
2121, 2774, 2333, 2332, 2773, 2795, 2354, 2353, 2794
2122, 2775, 2334, 2333, 2774, 2796, 2355, 2354, 2795
2123, 2776, 2335, 2334, 2775, 2797, 2356, 2355, 2796
2124, 2777, 2336, 2335, 2776, 2798, 2357, 2356, 2797
2125, 2778, 2337, 2336, 2777, 2799, 2358, 2357, 2798
2126, 2779, 2338, 2337, 2778, 2800, 2359, 2358, 2799
2127, 2780, 2339, 2338, 2779, 2801, 2360, 2359, 2800
2128, 2781, 2340, 2339, 2780, 2802, 2361, 2360, 2801
2129, 2782, 2341, 2340, 2781, 2803, 2362, 2361, 2802
2130, 2783, 2342, 2341, 2782, 2804, 2363, 2362, 2803
2131, 2784, 2343, 2342, 2783, 2805, 2364, 2363, 2804
2132, 2785, 2344, 2343, 2784, 2806, 2365, 2364, 2805
2133, 2786, 2345, 2344, 2785, 2807, 2366, 2365, 2806
2134, 2787, 2346, 2345, 2786, 2808, 2367, 2366, 2807
2135, 2788, 2347, 2346, 2787, 2809, 2368, 2367, 2808
2136, 2789, 2348, 2347, 2788, 2810, 2369, 2368, 2809
2137, 2790, 2349, 2348, 2789, 2811, 2370, 2369, 2810
2138, 2791, 2350, 2349, 2790, 2812, 2371, 2370, 2811
2139, 2792, 2351, 2350, 2791, 2813, 2372, 2371, 2812
2140, 2793, 2352, 2351, 2792, 2814, 2373, 2372, 2813
2141, 2795, 2354, 2353, 2794, 2816, 2375, 2374, 2815
2142, 2796, 2355, 2354, 2795, 2817, 2376, 2375, 2816
2143, 2797, 2356, 2355, 2796, 2818, 2377, 2376, 2817
2144, 2798, 2357, 2356, 2797, 2819, 2378, 2377, 2818
2145, 2799, 2358, 2357, 2798, 2820, 2379, 2378, 2819
2146, 2800, 2359, 2358, 2799, 2821, 2380, 2379, 2820
2147, 2801, 2360, 2359, 2800, 2822, 2381, 2380, 2821
2148, 2802, 2361, 2360, 2801, 2823, 2382, 2381, 2822
2149, 2803, 2362, 2361, 2802, 2824, 2383, 2382, 2823
2150, 2804, 2363, 2362, 2803, 2825, 2384, 2383, 2824
2151, 2805, 2364, 2363, 2804, 2826, 2385, 2384, 2825
2152, 2806, 2365, 2364, 2805, 2827, 2386, 2385, 2826
2153, 2807, 2366, 2365, 2806, 2828, 2387, 2386, 2827
2154, 2808, 2367, 2366, 2807, 2829, 2388, 2387, 2828
2155, 2809, 2368, 2367, 2808, 2830, 2389, 2388, 2829
2156, 2810, 2369, 2368, 2809, 2831, 2390, 2389, 2830
2157, 2811, 2370, 2369, 2810, 2832, 2391, 2390, 2831
2158, 2812, 2371, 2370, 2811, 2833, 2392, 2391, 2832
2159, 2813, 2372, 2371, 2812, 2834, 2393, 2392, 2833
2160, 2814, 2373, 2372, 2813, 2835, 2394, 2393, 2834
2161, 2816, 2375, 2374, 2815, 2837, 2396, 2395, 2836
2162, 2817, 2376, 2375, 2816, 2838, 2397, 2396, 2837
2163, 2818, 2377, 2376, 2817, 2839, 2398, 2397, 2838
2164, 2819, 2378, 2377, 2818, 2840, 2399, 2398, 2839
2165, 2820, 2379, 2378, 2819, 2841, 2400, 2399, 2840
2166, 2821, 2380, 2379, 2820, 2842, 2401, 2400, 2841
2167, 2822, 2381, 2380, 2821, 2843, 2402, 2401, 2842
2168, 2823, 2382, 2381, 2822, 2844, 2403, 2402, 2843
2169, 2824, 2383, 2382, 2823, 2845, 2404, 2403, 2844
2170, 2825, 2384, 2383, 2824, 2846, 2405, 2404, 2845
2171, 2826, 2385, 2384, 2825, 2847, 2406, 2405, 2846
2172, 2827, 2386, 2385, 2826, 2848, 2407, 2406, 2847
2173, 2828, 2387, 2386, 2827, 2849, 2408, 2407, 2848
2174, 2829, 2388, 2387, 2828, 2850, 2409, 2408, 2849
2175, 2830, 2389, 2388, 2829, 2851, 2410, 2409, 2850
2176, 2831, 2390, 2389, 2830, 2852, 2411, 2410, 2851
2177, 2832, 2391, 2390, 2831, 2853, 2412, 2411, 2852
2178, 2833, 2392, 2391, 2832, 2854, 2413, 2412, 2853
2179, 2834, 2393, 2392, 2833, 2855, 2414, 2413, 2854
2180, 2835, 2394, 2393, 2834, 2856, 2415, 2414, 2855
2181, 2837, 2396, 2395, 2836, 2858, 2417, 2416, 2857
2182, 2838, 2397, 2396, 2837, 2859, 2418, 2417, 2858
2183, 2839, 2398, 2397, 2838, 2860, 2419, 2418, 2859
2184, 2840, 2399, 2398, 2839, 2861, 2420, 2419, 2860
2185, 2841, 2400, 2399, 2840, 2862, 2421, 2420, 2861
2186, 2842, 2401, 2400, 2841, 2863, 2422, 2421, 2862
2187, 2843, 2402, 2401, 2842, 2864, 2423, 2422, 2863
2188, 2844, 2403, 2402, 2843, 2865, 2424, 2423, 2864
2189, 2845, 2404, 2403, 2844, 2866, 2425, 2424, 2865
2190, 2846, 2405, 2404, 2845, 2867, 2426, 2425, 2866
2191, 2847, 2406, 2405, 2846, 2868, 2427, 2426, 2867
2192, 2848, 2407, 2406, 2847, 2869, 2428, 2427, 2868
2193, 2849, 2408, 2407, 2848, 2870, 2429, 2428, 2869
2194, 2850, 2409, 2408, 2849, 2871, 2430, 2429, 2870
2195, 2851, 2410, 2409, 2850, 2872, 2431, 2430, 2871
2196, 2852, 2411, 2410, 2851, 2873, 2432, 2431, 2872
2197, 2853, 2412, 2411, 2852, 2874, 2433, 2432, 2873
2198, 2854, 2413, 2412, 2853, 2875, 2434, 2433, 2874
2199, 2855, 2414, 2413, 2854, 2876, 2435, 2434, 2875
2200, 2856, 2415, 2414, 2855, 2877, 2436, 2435, 2876
2201, 2858, 2417, 2416, 2857, 2879, 2438, 2437, 2878
2202, 2859, 2418, 2417, 2858, 2880, 2439, 2438, 2879
2203, 2860, 2419, 2418, 2859, 2881, 2440, 2439, 2880
2204, 2861, 2420, 2419, 2860, 2882, 2441, 2440, 2881
2205, 2862, 2421, 2420, 2861, 2883, 2442, 2441, 2882
2206, 2863, 2422, 2421, 2862, 2884, 2443, 2442, 2883
2207, 2864, 2423, 2422, 2863, 2885, 2444, 2443, 2884
2208, 2865, 2424, 2423, 2864, 2886, 2445, 2444, 2885
2209, 2866, 2425, 2424, 2865, 2887, 2446, 2445, 2886
2210, 2867, 2426, 2425, 2866, 2888, 2447, 2446, 2887
2211, 2868, 2427, 2426, 2867, 2889, 2448, 2447, 2888
2212, 2869, 2428, 2427, 2868, 2890, 2449, 2448, 2889
2213, 2870, 2429, 2428, 2869, 2891, 2450, 2449, 2890
2214, 2871, 2430, 2429, 2870, 2892, 2451, 2450, 2891
2215, 2872, 2431, 2430, 2871, 2893, 2452, 2451, 2892
2216, 2873, 2432, 2431, 2872, 2894, 2453, 2452, 2893
2217, 2874, 2433, 2432, 2873, 2895, 2454, 2453, 2894
2218, 2875, 2434, 2433, 2874, 2896, 2455, 2454, 2895
2219, 2876, 2435, 2434, 2875, 2897, 2456, 2455, 2896
2220, 2877, 2436, 2435, 2876, 2898, 2457, 2456, 2897
2221, 2879, 2438, 2437, 2878, 2900, 2459, 2458, 2899
2222, 2880, 2439, 2438, 2879, 2901, 2460, 2459, 2900
2223, 2881, 2440, 2439, 2880, 2902, 2461, 2460, 2901
2224, 2882, 2441, 2440, 2881, 2903, 2462, 2461, 2902
2225, 2883, 2442, 2441, 2882, 2904, 2463, 2462, 2903
2226, 2884, 2443, 2442, 2883, 2905, 2464, 2463, 2904
2227, 2885, 2444, 2443, 2884, 2906, 2465, 2464, 2905
2228, 2886, 2445, 2444, 2885, 2907, 2466, 2465, 2906
2229, 2887, 2446, 2445, 2886, 2908, 2467, 2466, 2907
2230, 2888, 2447, 2446, 2887, 2909, 2468, 2467, 2908
2231, 2889, 2448, 2447, 2888, 2910, 2469, 2468, 2909
2232, 2890, 2449, 2448, 2889, 2911, 2470, 2469, 2910
2233, 2891, 2450, 2449, 2890, 2912, 2471, 2470, 2911
2234, 2892, 2451, 2450, 2891, 2913, 2472, 2471, 2912
2235, 2893, 2452, 2451, 2892, 2914, 2473, 2472, 2913
2236, 2894, 2453, 2452, 2893, 2915, 2474, 2473, 2914
2237, 2895, 2454, 2453, 2894, 2916, 2475, 2474, 2915
2238, 2896, 2455, 2454, 2895, 2917, 2476, 2475, 2916
2239, 2897, 2456, 2455, 2896, 2918, 2477, 2476, 2917
2240, 2898, 2457, 2456, 2897, 2919, 2478, 2477, 2918
2241, 2900, 2459, 2458, 2899, 2921, 2480, 2479, 2920
2242, 2901, 2460, 2459, 2900, 2922, 2481, 2480, 2921
2243, 2902, 2461, 2460, 2901, 2923, 2482, 2481, 2922
2244, 2903, 2462, 2461, 2902, 2924, 2483, 2482, 2923
2245, 2904, 2463, 2462, 2903, 2925, 2484, 2483, 2924
2246, 2905, 2464, 2463, 2904, 2926, 2485, 2484, 2925
2247, 2906, 2465, 2464, 2905, 2927, 2486, 2485, 2926
2248, 2907, 2466, 2465, 2906, 2928, 2487, 2486, 2927
2249, 2908, 2467, 2466, 2907, 2929, 2488, 2487, 2928
2250, 2909, 2468, 2467, 2908, 2930, 2489, 2488, 2929
2251, 2910, 2469, 2468, 2909, 2931, 2490, 2489, 2930
2252, 2911, 2470, 2469, 2910, 2932, 2491, 2490, 2931
2253, 2912, 2471, 2470, 2911, 2933, 2492, 2491, 2932
2254, 2913, 2472, 2471, 2912, 2934, 2493, 2492, 2933
2255, 2914, 2473, 2472, 2913, 2935, 2494, 2493, 2934
2256, 2915, 2474, 2473, 2914, 2936, 2495, 2494, 2935
2257, 2916, 2475, 2474, 2915, 2937, 2496, 2495, 2936
2258, 2917, 2476, 2475, 2916, 2938, 2497, 2496, 2937
2259, 2918, 2477, 2476, 2917, 2939, 2498, 2497, 2938
2260, 2919, 2478, 2477, 2918, 2940, 2499, 2498, 2939
2261, 2921, 2480, 2479, 2920, 2942, 2501, 2500, 2941
2262, 2922, 2481, 2480, 2921, 2943, 2502, 2501, 2942
2263, 2923, 2482, 2481, 2922, 2944, 2503, 2502, 2943
2264, 2924, 2483, 2482, 2923, 2945, 2504, 2503, 2944
2265, 2925, 2484, 2483, 2924, 2946, 2505, 2504, 2945
2266, 2926, 2485, 2484, 2925, 2947, 2506, 2505, 2946
2267, 2927, 2486, 2485, 2926, 2948, 2507, 2506, 2947
2268, 2928, 2487, 2486, 2927, 2949, 2508, 2507, 2948
2269, 2929, 2488, 2487, 2928, 2950, 2509, 2508, 2949
2270, 2930, 2489, 2488, 2929, 2951, 2510, 2509, 2950
2271, 2931, 2490, 2489, 2930, 2952, 2511, 2510, 2951
2272, 2932, 2491, 2490, 2931, 2953, 2512, 2511, 2952
2273, 2933, 2492, 2491, 2932, 2954, 2513, 2512, 2953
2274, 2934, 2493, 2492, 2933, 2955, 2514, 2513, 2954
2275, 2935, 2494, 2493, 2934, 2956, 2515, 2514, 2955
2276, 2936, 2495, 2494, 2935, 2957, 2516, 2515, 2956
2277, 2937, 2496, 2495, 2936, 2958, 2517, 2516, 2957
2278, 2938, 2497, 2496, 2937, 2959, 2518, 2517, 2958
2279, 2939, 2498, 2497, 2938, 2960, 2519, 2518, 2959
2280, 2940, 2499, 2498, 2939, 2961, 2520, 2519, 2960
2281, 2942, 2501, 2500, 2941, 2963, 2522, 2521, 2962
2282, 2943, 2502, 2501, 2942, 2964, 2523, 2522, 2963
2283, 2944, 2503, 2502, 2943, 2965, 2524, 2523, 2964
2284, 2945, 2504, 2503, 2944, 2966, 2525, 2524, 2965
2285, 2946, 2505, 2504, 2945, 2967, 2526, 2525, 2966
2286, 2947, 2506, 2505, 2946, 2968, 2527, 2526, 2967
2287, 2948, 2507, 2506, 2947, 2969, 2528, 2527, 2968
2288, 2949, 2508, 2507, 2948, 2970, 2529, 2528, 2969
2289, 2950, 2509, 2508, 2949, 2971, 2530, 2529, 2970
2290, 2951, 2510, 2509, 2950, 2972, 2531, 2530, 2971
2291, 2952, 2511, 2510, 2951, 2973, 2532, 2531, 2972
2292, 2953, 2512, 2511, 2952, 2974, 2533, 2532, 2973
2293, 2954, 2513, 2512, 2953, 2975, 2534, 2533, 2974
2294, 2955, 2514, 2513, 2954, 2976, 2535, 2534, 2975
2295, 2956, 2515, 2514, 2955, 2977, 2536, 2535, 2976
2296, 2957, 2516, 2515, 2956, 2978, 2537, 2536, 2977
2297, 2958, 2517, 2516, 2957, 2979, 2538, 2537, 2978
2298, 2959, 2518, 2517, 2958, 2980, 2539, 2538, 2979
2299, 2960, 2519, 2518, 2959, 2981, 2540, 2539, 2980
2300, 2961, 2520, 2519, 2960, 2982, 2541, 2540, 2981
2301, 2963, 2522, 2521, 2962, 2984, 2543, 2542, 2983
2302, 2964, 2523, 2522, 2963, 2985, 2544, 2543, 2984
2303, 2965, 2524, 2523, 2964, 2986, 2545, 2544, 2985
2304, 2966, 2525, 2524, 2965, 2987, 2546, 2545, 2986
2305, 2967, 2526, 2525, 2966, 2988, 2547, 2546, 2987
2306, 2968, 2527, 2526, 2967, 2989, 2548, 2547, 2988
2307, 2969, 2528, 2527, 2968, 2990, 2549, 2548, 2989
2308, 2970, 2529, 2528, 2969, 2991, 2550, 2549, 2990
2309, 2971, 2530, 2529, 2970, 2992, 2551, 2550, 2991
2310, 2972, 2531, 2530, 2971, 2993, 2552, 2551, 2992
2311, 2973, 2532, 2531, 2972, 2994, 2553, 2552, 2993
2312, 2974, 2533, 2532, 2973, 2995, 2554, 2553, 2994
2313, 2975, 2534, 2533, 2974, 2996, 2555, 2554, 2995
2314, 2976, 2535, 2534, 2975, 2997, 2556, 2555, 2996
2315, 2977, 2536, 2535, 2976, 2998, 2557, 2556, 2997
2316, 2978, 2537, 2536, 2977, 2999, 2558, 2557, 2998
2317, 2979, 2538, 2537, 2978, 3000, 2559, 2558, 2999
2318, 2980, 2539, 2538, 2979, 3001, 2560, 2559, 3000
2319, 2981, 2540, 2539, 2980, 3002, 2561, 2560, 3001
2320, 2982, 2541, 2540, 2981, 3003, 2562, 2561, 3002
2321, 2984, 2543, 2542, 2983, 3005, 2564, 2563, 3004
2322, 2985, 2544, 2543, 2984, 3006, 2565, 2564, 3005
2323, 2986, 2545, 2544, 2985, 3007, 2566, 2565, 3006
2324, 2987, 2546, 2545, 2986, 3008, 2567, 2566, 3007
2325, 2988, 2547, 2546, 2987, 3009, 2568, 2567, 3008
2326, 2989, 2548, 2547, 2988, 3010, 2569, 2568, 3009
2327, 2990, 2549, 2548, 2989, 3011, 2570, 2569, 3010
2328, 2991, 2550, 2549, 2990, 3012, 2571, 2570, 3011
2329, 2992, 2551, 2550, 2991, 3013, 2572, 2571, 3012
2330, 2993, 2552, 2551, 2992, 3014, 2573, 2572, 3013
2331, 2994, 2553, 2552, 2993, 3015, 2574, 2573, 3014
2332, 2995, 2554, 2553, 2994, 3016, 2575, 2574, 3015
2333, 2996, 2555, 2554, 2995, 3017, 2576, 2575, 3016
2334, 2997, 2556, 2555, 2996, 3018, 2577, 2576, 3017
2335, 2998, 2557, 2556, 2997, 3019, 2578, 2577, 3018
2336, 2999, 2558, 2557, 2998, 3020, 2579, 2578, 3019
2337, 3000, 2559, 2558, 2999, 3021, 2580, 2579, 3020
2338, 3001, 2560, 2559, 3000, 3022, 2581, 2580, 3021
2339, 3002, 2561, 2560, 3001, 3023, 2582, 2581, 3022
2340, 3003, 2562, 2561, 3002, 3024, 2583, 2582, 3023
2341, 3005, 2564, 2563, 3004, 3026, 2585, 2584, 3025
2342, 3006, 2565, 2564, 3005, 3027, 2586, 2585, 3026
2343, 3007, 2566, 2565, 3006, 3028, 2587, 2586, 3027
2344, 3008, 2567, 2566, 3007, 3029, 2588, 2587, 3028
2345, 3009, 2568, 2567, 3008, 3030, 2589, 2588, 3029
2346, 3010, 2569, 2568, 3009, 3031, 2590, 2589, 3030
2347, 3011, 2570, 2569, 3010, 3032, 2591, 2590, 3031
2348, 3012, 2571, 2570, 3011, 3033, 2592, 2591, 3032
2349, 3013, 2572, 2571, 3012, 3034, 2593, 2592, 3033
2350, 3014, 2573, 2572, 3013, 3035, 2594, 2593, 3034
2351, 3015, 2574, 2573, 3014, 3036, 2595, 2594, 3035
2352, 3016, 2575, 2574, 3015, 3037, 2596, 2595, 3036
2353, 3017, 2576, 2575, 3016, 3038, 2597, 2596, 3037
2354, 3018, 2577, 2576, 3017, 3039, 2598, 2597, 3038
2355, 3019, 2578, 2577, 3018, 3040, 2599, 2598, 3039
2356, 3020, 2579, 2578, 3019, 3041, 2600, 2599, 3040
2357, 3021, 2580, 2579, 3020, 3042, 2601, 2600, 3041
2358, 3022, 2581, 2580, 3021, 3043, 2602, 2601, 3042
2359, 3023, 2582, 2581, 3022, 3044, 2603, 2602, 3043
2360, 3024, 2583, 2582, 3023, 3045, 2604, 2603, 3044
2361, 3026, 2585, 2584, 3025, 3047, 2606, 2605, 3046
2362, 3027, 2586, 2585, 3026, 3048, 2607, 2606, 3047
2363, 3028, 2587, 2586, 3027, 3049, 2608, 2607, 3048
2364, 3029, 2588, 2587, 3028, 3050, 2609, 2608, 3049
2365, 3030, 2589, 2588, 3029, 3051, 2610, 2609, 3050
2366, 3031, 2590, 2589, 3030, 3052, 2611, 2610, 3051
2367, 3032, 2591, 2590, 3031, 3053, 2612, 2611, 3052
2368, 3033, 2592, 2591, 3032, 3054, 2613, 2612, 3053
2369, 3034, 2593, 2592, 3033, 3055, 2614, 2613, 3054
2370, 3035, 2594, 2593, 3034, 3056, 2615, 2614, 3055
2371, 3036, 2595, 2594, 3035, 3057, 2616, 2615, 3056
2372, 3037, 2596, 2595, 3036, 3058, 2617, 2616, 3057
2373, 3038, 2597, 2596, 3037, 3059, 2618, 2617, 3058
2374, 3039, 2598, 2597, 3038, 3060, 2619, 2618, 3059
2375, 3040, 2599, 2598, 3039, 3061, 2620, 2619, 3060
2376, 3041, 2600, 2599, 3040, 3062, 2621, 2620, 3061
2377, 3042, 2601, 2600, 3041, 3063, 2622, 2621, 3062
2378, 3043, 2602, 2601, 3042, 3064, 2623, 2622, 3063
2379, 3044, 2603, 2602, 3043, 3065, 2624, 2623, 3064
2380, 3045, 2604, 2603, 3044, 3066, 2625, 2624, 3065
2381, 3047, 2606, 2605, 3046, 3068, 2627, 2626, 3067
2382, 3048, 2607, 2606, 3047, 3069, 2628, 2627, 3068
2383, 3049, 2608, 2607, 3048, 3070, 2629, 2628, 3069
2384, 3050, 2609, 2608, 3049, 3071, 2630, 2629, 3070
2385, 3051, 2610, 2609, 3050, 3072, 2631, 2630, 3071
2386, 3052, 2611, 2610, 3051, 3073, 2632, 2631, 3072
2387, 3053, 2612, 2611, 3052, 3074, 2633, 2632, 3073
2388, 3054, 2613, 2612, 3053, 3075, 2634, 2633, 3074
2389, 3055, 2614, 2613, 3054, 3076, 2635, 2634, 3075
2390, 3056, 2615, 2614, 3055, 3077, 2636, 2635, 3076
2391, 3057, 2616, 2615, 3056, 3078, 2637, 2636, 3077
2392, 3058, 2617, 2616, 3057, 3079, 2638, 2637, 3078
2393, 3059, 2618, 2617, 3058, 3080, 2639, 2638, 3079
2394, 3060, 2619, 2618, 3059, 3081, 2640, 2639, 3080
2395, 3061, 2620, 2619, 3060, 3082, 2641, 2640, 3081
2396, 3062, 2621, 2620, 3061, 3083, 2642, 2641, 3082
2397, 3063, 2622, 2621, 3062, 3084, 2643, 2642, 3083
2398, 3064, 2623, 2622, 3063, 3085, 2644, 2643, 3084
2399, 3065, 2624, 2623, 3064, 3086, 2645, 2644, 3085
2400, 3066, 2625, 2624, 3065, 3087, 2646, 2645, 3086
2401, 3089, 2648, 2647, 3088, 3110, 2669, 2668, 3109
2402, 3090, 2649, 2648, 3089, 3111, 2670, 2669, 3110
2403, 3091, 2650, 2649, 3090, 3112, 2671, 2670, 3111
2404, 3092, 2651, 2650, 3091, 3113, 2672, 2671, 3112
2405, 3093, 2652, 2651, 3092, 3114, 2673, 2672, 3113
2406, 3094, 2653, 2652, 3093, 3115, 2674, 2673, 3114
2407, 3095, 2654, 2653, 3094, 3116, 2675, 2674, 3115
2408, 3096, 2655, 2654, 3095, 3117, 2676, 2675, 3116
2409, 3097, 2656, 2655, 3096, 3118, 2677, 2676, 3117
2410, 3098, 2657, 2656, 3097, 3119, 2678, 2677, 3118
2411, 3099, 2658, 2657, 3098, 3120, 2679, 2678, 3119
2412, 3100, 2659, 2658, 3099, 3121, 2680, 2679, 3120
2413, 3101, 2660, 2659, 3100, 3122, 2681, 2680, 3121
2414, 3102, 2661, 2660, 3101, 3123, 2682, 2681, 3122
2415, 3103, 2662, 2661, 3102, 3124, 2683, 2682, 3123
2416, 3104, 2663, 2662, 3103, 3125, 2684, 2683, 3124
2417, 3105, 2664, 2663, 3104, 3126, 2685, 2684, 3125
2418, 3106, 2665, 2664, 3105, 3127, 2686, 2685, 3126
2419, 3107, 2666, 2665, 3106, 3128, 2687, 2686, 3127
2420, 3108, 2667, 2666, 3107, 3129, 2688, 2687, 3128
2421, 3110, 2669, 2668, 3109, 3131, 2690, 2689, 3130
2422, 3111, 2670, 2669, 3110, 3132, 2691, 2690, 3131
2423, 3112, 2671, 2670, 3111, 3133, 2692, 2691, 3132
2424, 3113, 2672, 2671, 3112, 3134, 2693, 2692, 3133
2425, 3114, 2673, 2672, 3113, 3135, 2694, 2693, 3134
2426, 3115, 2674, 2673, 3114, 3136, 2695, 2694, 3135
2427, 3116, 2675, 2674, 3115, 3137, 2696, 2695, 3136
2428, 3117, 2676, 2675, 3116, 3138, 2697, 2696, 3137
2429, 3118, 2677, 2676, 3117, 3139, 2698, 2697, 3138
2430, 3119, 2678, 2677, 3118, 3140, 2699, 2698, 3139
2431, 3120, 2679, 2678, 3119, 3141, 2700, 2699, 3140
2432, 3121, 2680, 2679, 3120, 3142, 2701, 2700, 3141
2433, 3122, 2681, 2680, 3121, 3143, 2702, 2701, 3142
2434, 3123, 2682, 2681, 3122, 3144, 2703, 2702, 3143
2435, 3124, 2683, 2682, 3123, 3145, 2704, 2703, 3144
2436, 3125, 2684, 2683, 3124, 3146, 2705, 2704, 3145
2437, 3126, 2685, 2684, 3125, 3147, 2706, 2705, 3146
2438, 3127, 2686, 2685, 3126, 3148, 2707, 2706, 3147
2439, 3128, 2687, 2686, 3127, 3149, 2708, 2707, 3148
2440, 3129, 2688, 2687, 3128, 3150, 2709, 2708, 3149
2441, 3131, 2690, 2689, 3130, 3152, 2711, 2710, 3151
2442, 3132, 2691, 2690, 3131, 3153, 2712, 2711, 3152
2443, 3133, 2692, 2691, 3132, 3154, 2713, 2712, 3153
2444, 3134, 2693, 2692, 3133, 3155, 2714, 2713, 3154
2445, 3135, 2694, 2693, 3134, 3156, 2715, 2714, 3155
2446, 3136, 2695, 2694, 3135, 3157, 2716, 2715, 3156
2447, 3137, 2696, 2695, 3136, 3158, 2717, 2716, 3157
2448, 3138, 2697, 2696, 3137, 3159, 2718, 2717, 3158
2449, 3139, 2698, 2697, 3138, 3160, 2719, 2718, 3159
2450, 3140, 2699, 2698, 3139, 3161, 2720, 2719, 3160
2451, 3141, 2700, 2699, 3140, 3162, 2721, 2720, 3161
2452, 3142, 2701, 2700, 3141, 3163, 2722, 2721, 3162
2453, 3143, 2702, 2701, 3142, 3164, 2723, 2722, 3163
2454, 3144, 2703, 2702, 3143, 3165, 2724, 2723, 3164
2455, 3145, 2704, 2703, 3144, 3166, 2725, 2724, 3165
2456, 3146, 2705, 2704, 3145, 3167, 2726, 2725, 3166
2457, 3147, 2706, 2705, 3146, 3168, 2727, 2726, 3167
2458, 3148, 2707, 2706, 3147, 3169, 2728, 2727, 3168
2459, 3149, 2708, 2707, 3148, 3170, 2729, 2728, 3169
2460, 3150, 2709, 2708, 3149, 3171, 2730, 2729, 3170
2461, 3152, 2711, 2710, 3151, 3173, 2732, 2731, 3172
2462, 3153, 2712, 2711, 3152, 3174, 2733, 2732, 3173
2463, 3154, 2713, 2712, 3153, 3175, 2734, 2733, 3174
2464, 3155, 2714, 2713, 3154, 3176, 2735, 2734, 3175
2465, 3156, 2715, 2714, 3155, 3177, 2736, 2735, 3176
2466, 3157, 2716, 2715, 3156, 3178, 2737, 2736, 3177
2467, 3158, 2717, 2716, 3157, 3179, 2738, 2737, 3178
2468, 3159, 2718, 2717, 3158, 3180, 2739, 2738, 3179
2469, 3160, 2719, 2718, 3159, 3181, 2740, 2739, 3180
2470, 3161, 2720, 2719, 3160, 3182, 2741, 2740, 3181
2471, 3162, 2721, 2720, 3161, 3183, 2742, 2741, 3182
2472, 3163, 2722, 2721, 3162, 3184, 2743, 2742, 3183
2473, 3164, 2723, 2722, 3163, 3185, 2744, 2743, 3184
2474, 3165, 2724, 2723, 3164, 3186, 2745, 2744, 3185
2475, 3166, 2725, 2724, 3165, 3187, 2746, 2745, 3186
2476, 3167, 2726, 2725, 3166, 3188, 2747, 2746, 3187
2477, 3168, 2727, 2726, 3167, 3189, 2748, 2747, 3188
2478, 3169, 2728, 2727, 3168, 3190, 2749, 2748, 3189
2479, 3170, 2729, 2728, 3169, 3191, 2750, 2749, 3190
2480, 3171, 2730, 2729, 3170, 3192, 2751, 2750, 3191
2481, 3173, 2732, 2731, 3172, 3194, 2753, 2752, 3193
2482, 3174, 2733, 2732, 3173, 3195, 2754, 2753, 3194
2483, 3175, 2734, 2733, 3174, 3196, 2755, 2754, 3195
2484, 3176, 2735, 2734, 3175, 3197, 2756, 2755, 3196
2485, 3177, 2736, 2735, 3176, 3198, 2757, 2756, 3197
2486, 3178, 2737, 2736, 3177, 3199, 2758, 2757, 3198
2487, 3179, 2738, 2737, 3178, 3200, 2759, 2758, 3199
2488, 3180, 2739, 2738, 3179, 3201, 2760, 2759, 3200
2489, 3181, 2740, 2739, 3180, 3202, 2761, 2760, 3201
2490, 3182, 2741, 2740, 3181, 3203, 2762, 2761, 3202
2491, 3183, 2742, 2741, 3182, 3204, 2763, 2762, 3203
2492, 3184, 2743, 2742, 3183, 3205, 2764, 2763, 3204
2493, 3185, 2744, 2743, 3184, 3206, 2765, 2764, 3205
2494, 3186, 2745, 2744, 3185, 3207, 2766, 2765, 3206
2495, 3187, 2746, 2745, 3186, 3208, 2767, 2766, 3207
2496, 3188, 2747, 2746, 3187, 3209, 2768, 2767, 3208
2497, 3189, 2748, 2747, 3188, 3210, 2769, 2768, 3209
2498, 3190, 2749, 2748, 3189, 3211, 2770, 2769, 3210
2499, 3191, 2750, 2749, 3190, 3212, 2771, 2770, 3211
2500, 3192, 2751, 2750, 3191, 3213, 2772, 2771, 3212
2501, 3194, 2753, 2752, 3193, 3215, 2774, 2773, 3214
2502, 3195, 2754, 2753, 3194, 3216, 2775, 2774, 3215
2503, 3196, 2755, 2754, 3195, 3217, 2776, 2775, 3216
2504, 3197, 2756, 2755, 3196, 3218, 2777, 2776, 3217
2505, 3198, 2757, 2756, 3197, 3219, 2778, 2777, 3218
2506, 3199, 2758, 2757, 3198, 3220, 2779, 2778, 3219
2507, 3200, 2759, 2758, 3199, 3221, 2780, 2779, 3220
2508, 3201, 2760, 2759, 3200, 3222, 2781, 2780, 3221
2509, 3202, 2761, 2760, 3201, 3223, 2782, 2781, 3222
2510, 3203, 2762, 2761, 3202, 3224, 2783, 2782, 3223
2511, 3204, 2763, 2762, 3203, 3225, 2784, 2783, 3224
2512, 3205, 2764, 2763, 3204, 3226, 2785, 2784, 3225
2513, 3206, 2765, 2764, 3205, 3227, 2786, 2785, 3226
2514, 3207, 2766, 2765, 3206, 3228, 2787, 2786, 3227
2515, 3208, 2767, 2766, 3207, 3229, 2788, 2787, 3228
2516, 3209, 2768, 2767, 3208, 3230, 2789, 2788, 3229
2517, 3210, 2769, 2768, 3209, 3231, 2790, 2789, 3230
2518, 3211, 2770, 2769, 3210, 3232, 2791, 2790, 3231
2519, 3212, 2771, 2770, 3211, 3233, 2792, 2791, 3232
2520, 3213, 2772, 2771, 3212, 3234, 2793, 2792, 3233
2521, 3215, 2774, 2773, 3214, 3236, 2795, 2794, 3235
2522, 3216, 2775, 2774, 3215, 3237, 2796, 2795, 3236
2523, 3217, 2776, 2775, 3216, 3238, 2797, 2796, 3237
2524, 3218, 2777, 2776, 3217, 3239, 2798, 2797, 3238
2525, 3219, 2778, 2777, 3218, 3240, 2799, 2798, 3239
2526, 3220, 2779, 2778, 3219, 3241, 2800, 2799, 3240
2527, 3221, 2780, 2779, 3220, 3242, 2801, 2800, 3241
2528, 3222, 2781, 2780, 3221, 3243, 2802, 2801, 3242
2529, 3223, 2782, 2781, 3222, 3244, 2803, 2802, 3243
2530, 3224, 2783, 2782, 3223, 3245, 2804, 2803, 3244
2531, 3225, 2784, 2783, 3224, 3246, 2805, 2804, 3245
2532, 3226, 2785, 2784, 3225, 3247, 2806, 2805, 3246
2533, 3227, 2786, 2785, 3226, 3248, 2807, 2806, 3247
2534, 3228, 2787, 2786, 3227, 3249, 2808, 2807, 3248
2535, 3229, 2788, 2787, 3228, 3250, 2809, 2808, 3249
2536, 3230, 2789, 2788, 3229, 3251, 2810, 2809, 3250
2537, 3231, 2790, 2789, 3230, 3252, 2811, 2810, 3251
2538, 3232, 2791, 2790, 3231, 3253, 2812, 2811, 3252
2539, 3233, 2792, 2791, 3232, 3254, 2813, 2812, 3253
2540, 3234, 2793, 2792, 3233, 3255, 2814, 2813, 3254
2541, 3236, 2795, 2794, 3235, 3257, 2816, 2815, 3256
2542, 3237, 2796, 2795, 3236, 3258, 2817, 2816, 3257
2543, 3238, 2797, 2796, 3237, 3259, 2818, 2817, 3258
2544, 3239, 2798, 2797, 3238, 3260, 2819, 2818, 3259
2545, 3240, 2799, 2798, 3239, 3261, 2820, 2819, 3260
2546, 3241, 2800, 2799, 3240, 3262, 2821, 2820, 3261
2547, 3242, 2801, 2800, 3241, 3263, 2822, 2821, 3262
2548, 3243, 2802, 2801, 3242, 3264, 2823, 2822, 3263
2549, 3244, 2803, 2802, 3243, 3265, 2824, 2823, 3264
2550, 3245, 2804, 2803, 3244, 3266, 2825, 2824, 3265
2551, 3246, 2805, 2804, 3245, 3267, 2826, 2825, 3266
2552, 3247, 2806, 2805, 3246, 3268, 2827, 2826, 3267
2553, 3248, 2807, 2806, 3247, 3269, 2828, 2827, 3268
2554, 3249, 2808, 2807, 3248, 3270, 2829, 2828, 3269
2555, 3250, 2809, 2808, 3249, 3271, 2830, 2829, 3270
2556, 3251, 2810, 2809, 3250, 3272, 2831, 2830, 3271
2557, 3252, 2811, 2810, 3251, 3273, 2832, 2831, 3272
2558, 3253, 2812, 2811, 3252, 3274, 2833, 2832, 3273
2559, 3254, 2813, 2812, 3253, 3275, 2834, 2833, 3274
2560, 3255, 2814, 2813, 3254, 3276, 2835, 2834, 3275
2561, 3257, 2816, 2815, 3256, 3278, 2837, 2836, 3277
2562, 3258, 2817, 2816, 3257, 3279, 2838, 2837, 3278
2563, 3259, 2818, 2817, 3258, 3280, 2839, 2838, 3279
2564, 3260, 2819, 2818, 3259, 3281, 2840, 2839, 3280
2565, 3261, 2820, 2819, 3260, 3282, 2841, 2840, 3281
2566, 3262, 2821, 2820, 3261, 3283, 2842, 2841, 3282
2567, 3263, 2822, 2821, 3262, 3284, 2843, 2842, 3283
2568, 3264, 2823, 2822, 3263, 3285, 2844, 2843, 3284
2569, 3265, 2824, 2823, 3264, 3286, 2845, 2844, 3285
2570, 3266, 2825, 2824, 3265, 3287, 2846, 2845, 3286
2571, 3267, 2826, 2825, 3266, 3288, 2847, 2846, 3287
2572, 3268, 2827, 2826, 3267, 3289, 2848, 2847, 3288
2573, 3269, 2828, 2827, 3268, 3290, 2849, 2848, 3289
2574, 3270, 2829, 2828, 3269, 3291, 2850, 2849, 3290
2575, 3271, 2830, 2829, 3270, 3292, 2851, 2850, 3291
2576, 3272, 2831, 2830, 3271, 3293, 2852, 2851, 3292
2577, 3273, 2832, 2831, 3272, 3294, 2853, 2852, 3293
2578, 3274, 2833, 2832, 3273, 3295, 2854, 2853, 3294
2579, 3275, 2834, 2833, 3274, 3296, 2855, 2854, 3295
2580, 3276, 2835, 2834, 3275, 3297, 2856, 2855, 3296
2581, 3278, 2837, 2836, 3277, 3299, 2858, 2857, 3298
2582, 3279, 2838, 2837, 3278, 3300, 2859, 2858, 3299
2583, 3280, 2839, 2838, 3279, 3301, 2860, 2859, 3300
2584, 3281, 2840, 2839, 3280, 3302, 2861, 2860, 3301
2585, 3282, 2841, 2840, 3281, 3303, 2862, 2861, 3302
2586, 3283, 2842, 2841, 3282, 3304, 2863, 2862, 3303
2587, 3284, 2843, 2842, 3283, 3305, 2864, 2863, 3304
2588, 3285, 2844, 2843, 3284, 3306, 2865, 2864, 3305
2589, 3286, 2845, 2844, 3285, 3307, 2866, 2865, 3306
2590, 3287, 2846, 2845, 3286, 3308, 2867, 2866, 3307
2591, 3288, 2847, 2846, 3287, 3309, 2868, 2867, 3308
2592, 3289, 2848, 2847, 3288, 3310, 2869, 2868, 3309
2593, 3290, 2849, 2848, 3289, 3311, 2870, 2869, 3310
2594, 3291, 2850, 2849, 3290, 3312, 2871, 2870, 3311
2595, 3292, 2851, 2850, 3291, 3313, 2872, 2871, 3312
2596, 3293, 2852, 2851, 3292, 3314, 2873, 2872, 3313
2597, 3294, 2853, 2852, 3293, 3315, 2874, 2873, 3314
2598, 3295, 2854, 2853, 3294, 3316, 2875, 2874, 3315
2599, 3296, 2855, 2854, 3295, 3317, 2876, 2875, 3316
2600, 3297, 2856, 2855, 3296, 3318, 2877, 2876, 3317
2601, 3299, 2858, 2857, 3298, 3320, 2879, 2878, 3319
2602, 3300, 2859, 2858, 3299, 3321, 2880, 2879, 3320
2603, 3301, 2860, 2859, 3300, 3322, 2881, 2880, 3321
2604, 3302, 2861, 2860, 3301, 3323, 2882, 2881, 3322
2605, 3303, 2862, 2861, 3302, 3324, 2883, 2882, 3323
2606, 3304, 2863, 2862, 3303, 3325, 2884, 2883, 3324
2607, 3305, 2864, 2863, 3304, 3326, 2885, 2884, 3325
2608, 3306, 2865, 2864, 3305, 3327, 2886, 2885, 3326
2609, 3307, 2866, 2865, 3306, 3328, 2887, 2886, 3327
2610, 3308, 2867, 2866, 3307, 3329, 2888, 2887, 3328
2611, 3309, 2868, 2867, 3308, 3330, 2889, 2888, 3329
2612, 3310, 2869, 2868, 3309, 3331, 2890, 2889, 3330
2613, 3311, 2870, 2869, 3310, 3332, 2891, 2890, 3331
2614, 3312, 2871, 2870, 3311, 3333, 2892, 2891, 3332
2615, 3313, 2872, 2871, 3312, 3334, 2893, 2892, 3333
2616, 3314, 2873, 2872, 3313, 3335, 2894, 2893, 3334
2617, 3315, 2874, 2873, 3314, 3336, 2895, 2894, 3335
2618, 3316, 2875, 2874, 3315, 3337, 2896, 2895, 3336
2619, 3317, 2876, 2875, 3316, 3338, 2897, 2896, 3337
2620, 3318, 2877, 2876, 3317, 3339, 2898, 2897, 3338
2621, 3320, 2879, 2878, 3319, 3341, 2900, 2899, 3340
2622, 3321, 2880, 2879, 3320, 3342, 2901, 2900, 3341
2623, 3322, 2881, 2880, 3321, 3343, 2902, 2901, 3342
2624, 3323, 2882, 2881, 3322, 3344, 2903, 2902, 3343
2625, 3324, 2883, 2882, 3323, 3345, 2904, 2903, 3344
2626, 3325, 2884, 2883, 3324, 3346, 2905, 2904, 3345
2627, 3326, 2885, 2884, 3325, 3347, 2906, 2905, 3346
2628, 3327, 2886, 2885, 3326, 3348, 2907, 2906, 3347
2629, 3328, 2887, 2886, 3327, 3349, 2908, 2907, 3348
2630, 3329, 2888, 2887, 3328, 3350, 2909, 2908, 3349
2631, 3330, 2889, 2888, 3329, 3351, 2910, 2909, 3350
2632, 3331, 2890, 2889, 3330, 3352, 2911, 2910, 3351
2633, 3332, 2891, 2890, 3331, 3353, 2912, 2911, 3352
2634, 3333, 2892, 2891, 3332, 3354, 2913, 2912, 3353
2635, 3334, 2893, 2892, 3333, 3355, 2914, 2913, 3354
2636, 3335, 2894, 2893, 3334, 3356, 2915, 2914, 3355
2637, 3336, 2895, 2894, 3335, 3357, 2916, 2915, 3356
2638, 3337, 2896, 2895, 3336, 3358, 2917, 2916, 3357
2639, 3338, 2897, 2896, 3337, 3359, 2918, 2917, 3358
2640, 3339, 2898, 2897, 3338, 3360, 2919, 2918, 3359
2641, 3341, 2900, 2899, 3340, 3362, 2921, 2920, 3361
2642, 3342, 2901, 2900, 3341, 3363, 2922, 2921, 3362
2643, 3343, 2902, 2901, 3342, 3364, 2923, 2922, 3363
2644, 3344, 2903, 2902, 3343, 3365, 2924, 2923, 3364
2645, 3345, 2904, 2903, 3344, 3366, 2925, 2924, 3365
2646, 3346, 2905, 2904, 3345, 3367, 2926, 2925, 3366
2647, 3347, 2906, 2905, 3346, 3368, 2927, 2926, 3367
2648, 3348, 2907, 2906, 3347, 3369, 2928, 2927, 3368
2649, 3349, 2908, 2907, 3348, 3370, 2929, 2928, 3369
2650, 3350, 2909, 2908, 3349, 3371, 2930, 2929, 3370
2651, 3351, 2910, 2909, 3350, 3372, 2931, 2930, 3371
2652, 3352, 2911, 2910, 3351, 3373, 2932, 2931, 3372
2653, 3353, 2912, 2911, 3352, 3374, 2933, 2932, 3373
2654, 3354, 2913, 2912, 3353, 3375, 2934, 2933, 3374
2655, 3355, 2914, 2913, 3354, 3376, 2935, 2934, 3375
2656, 3356, 2915, 2914, 3355, 3377, 2936, 2935, 3376
2657, 3357, 2916, 2915, 3356, 3378, 2937, 2936, 3377
2658, 3358, 2917, 2916, 3357, 3379, 2938, 2937, 3378
2659, 3359, 2918, 2917, 3358, 3380, 2939, 2938, 3379
2660, 3360, 2919, 2918, 3359, 3381, 2940, 2939, 3380
2661, 3362, 2921, 2920, 3361, 3383, 2942, 2941, 3382
2662, 3363, 2922, 2921, 3362, 3384, 2943, 2942, 3383
2663, 3364, 2923, 2922, 3363, 3385, 2944, 2943, 3384
2664, 3365, 2924, 2923, 3364, 3386, 2945, 2944, 3385
2665, 3366, 2925, 2924, 3365, 3387, 2946, 2945, 3386
2666, 3367, 2926, 2925, 3366, 3388, 2947, 2946, 3387
2667, 3368, 2927, 2926, 3367, 3389, 2948, 2947, 3388
2668, 3369, 2928, 2927, 3368, 3390, 2949, 2948, 3389
2669, 3370, 2929, 2928, 3369, 3391, 2950, 2949, 3390
2670, 3371, 2930, 2929, 3370, 3392, 2951, 2950, 3391
2671, 3372, 2931, 2930, 3371, 3393, 2952, 2951, 3392
2672, 3373, 2932, 2931, 3372, 3394, 2953, 2952, 3393
2673, 3374, 2933, 2932, 3373, 3395, 2954, 2953, 3394
2674, 3375, 2934, 2933, 3374, 3396, 2955, 2954, 3395
2675, 3376, 2935, 2934, 3375, 3397, 2956, 2955, 3396
2676, 3377, 2936, 2935, 3376, 3398, 2957, 2956, 3397
2677, 3378, 2937, 2936, 3377, 3399, 2958, 2957, 3398
2678, 3379, 2938, 2937, 3378, 3400, 2959, 2958, 3399
2679, 3380, 2939, 2938, 3379, 3401, 2960, 2959, 3400
2680, 3381, 2940, 2939, 3380, 3402, 2961, 2960, 3401
2681, 3383, 2942, 2941, 3382, 3404, 2963, 2962, 3403
2682, 3384, 2943, 2942, 3383, 3405, 2964, 2963, 3404
2683, 3385, 2944, 2943, 3384, 3406, 2965, 2964, 3405
2684, 3386, 2945, 2944, 3385, 3407, 2966, 2965, 3406
2685, 3387, 2946, 2945, 3386, 3408, 2967, 2966, 3407
2686, 3388, 2947, 2946, 3387, 3409, 2968, 2967, 3408
2687, 3389, 2948, 2947, 3388, 3410, 2969, 2968, 3409
2688, 3390, 2949, 2948, 3389, 3411, 2970, 2969, 3410
2689, 3391, 2950, 2949, 3390, 3412, 2971, 2970, 3411
2690, 3392, 2951, 2950, 3391, 3413, 2972, 2971, 3412
2691, 3393, 2952, 2951, 3392, 3414, 2973, 2972, 3413
2692, 3394, 2953, 2952, 3393, 3415, 2974, 2973, 3414
2693, 3395, 2954, 2953, 3394, 3416, 2975, 2974, 3415
2694, 3396, 2955, 2954, 3395, 3417, 2976, 2975, 3416
2695, 3397, 2956, 2955, 3396, 3418, 2977, 2976, 3417
2696, 3398, 2957, 2956, 3397, 3419, 2978, 2977, 3418
2697, 3399, 2958, 2957, 3398, 3420, 2979, 2978, 3419
2698, 3400, 2959, 2958, 3399, 3421, 2980, 2979, 3420
2699, 3401, 2960, 2959, 3400, 3422, 2981, 2980, 3421
2700, 3402, 2961, 2960, 3401, 3423, 2982, 2981, 3422
2701, 3404, 2963, 2962, 3403, 3425, 2984, 2983, 3424
2702, 3405, 2964, 2963, 3404, 3426, 2985, 2984, 3425
2703, 3406, 2965, 2964, 3405, 3427, 2986, 2985, 3426
2704, 3407, 2966, 2965, 3406, 3428, 2987, 2986, 3427
2705, 3408, 2967, 2966, 3407, 3429, 2988, 2987, 3428
2706, 3409, 2968, 2967, 3408, 3430, 2989, 2988, 3429
2707, 3410, 2969, 2968, 3409, 3431, 2990, 2989, 3430
2708, 3411, 2970, 2969, 3410, 3432, 2991, 2990, 3431
2709, 3412, 2971, 2970, 3411, 3433, 2992, 2991, 3432
2710, 3413, 2972, 2971, 3412, 3434, 2993, 2992, 3433
2711, 3414, 2973, 2972, 3413, 3435, 2994, 2993, 3434
2712, 3415, 2974, 2973, 3414, 3436, 2995, 2994, 3435
2713, 3416, 2975, 2974, 3415, 3437, 2996, 2995, 3436
2714, 3417, 2976, 2975, 3416, 3438, 2997, 2996, 3437
2715, 3418, 2977, 2976, 3417, 3439, 2998, 2997, 3438
2716, 3419, 2978, 2977, 3418, 3440, 2999, 2998, 3439
2717, 3420, 2979, 2978, 3419, 3441, 3000, 2999, 3440
2718, 3421, 2980, 2979, 3420, 3442, 3001, 3000, 3441
2719, 3422, 2981, 2980, 3421, 3443, 3002, 3001, 3442
2720, 3423, 2982, 2981, 3422, 3444, 3003, 3002, 3443
2721, 3425, 2984, 2983, 3424, 3446, 3005, 3004, 3445
2722, 3426, 2985, 2984, 3425, 3447, 3006, 3005, 3446
2723, 3427, 2986, 2985, 3426, 3448, 3007, 3006, 3447
2724, 3428, 2987, 2986, 3427, 3449, 3008, 3007, 3448
2725, 3429, 2988, 2987, 3428, 3450, 3009, 3008, 3449
2726, 3430, 2989, 2988, 3429, 3451, 3010, 3009, 3450
2727, 3431, 2990, 2989, 3430, 3452, 3011, 3010, 3451
2728, 3432, 2991, 2990, 3431, 3453, 3012, 3011, 3452
2729, 3433, 2992, 2991, 3432, 3454, 3013, 3012, 3453
2730, 3434, 2993, 2992, 3433, 3455, 3014, 3013, 3454
2731, 3435, 2994, 2993, 3434, 3456, 3015, 3014, 3455
2732, 3436, 2995, 2994, 3435, 3457, 3016, 3015, 3456
2733, 3437, 2996, 2995, 3436, 3458, 3017, 3016, 3457
2734, 3438, 2997, 2996, 3437, 3459, 3018, 3017, 3458
2735, 3439, 2998, 2997, 3438, 3460, 3019, 3018, 3459
2736, 3440, 2999, 2998, 3439, 3461, 3020, 3019, 3460
2737, 3441, 3000, 2999, 3440, 3462, 3021, 3020, 3461
2738, 3442, 3001, 3000, 3441, 3463, 3022, 3021, 3462
2739, 3443, 3002, 3001, 3442, 3464, 3023, 3022, 3463
2740, 3444, 3003, 3002, 3443, 3465, 3024, 3023, 3464
2741, 3446, 3005, 3004, 3445, 3467, 3026, 3025, 3466
2742, 3447, 3006, 3005, 3446, 3468, 3027, 3026, 3467
2743, 3448, 3007, 3006, 3447, 3469, 3028, 3027, 3468
2744, 3449, 3008, 3007, 3448, 3470, 3029, 3028, 3469
2745, 3450, 3009, 3008, 3449, 3471, 3030, 3029, 3470
2746, 3451, 3010, 3009, 3450, 3472, 3031, 3030, 3471
2747, 3452, 3011, 3010, 3451, 3473, 3032, 3031, 3472
2748, 3453, 3012, 3011, 3452, 3474, 3033, 3032, 3473
2749, 3454, 3013, 3012, 3453, 3475, 3034, 3033, 3474
2750, 3455, 3014, 3013, 3454, 3476, 3035, 3034, 3475
2751, 3456, 3015, 3014, 3455, 3477, 3036, 3035, 3476
2752, 3457, 3016, 3015, 3456, 3478, 3037, 3036, 3477
2753, 3458, 3017, 3016, 3457, 3479, 3038, 3037, 3478
2754, 3459, 3018, 3017, 3458, 3480, 3039, 3038, 3479
2755, 3460, 3019, 3018, 3459, 3481, 3040, 3039, 3480
2756, 3461, 3020, 3019, 3460, 3482, 3041, 3040, 3481
2757, 3462, 3021, 3020, 3461, 3483, 3042, 3041, 3482
2758, 3463, 3022, 3021, 3462, 3484, 3043, 3042, 3483
2759, 3464, 3023, 3022, 3463, 3485, 3044, 3043, 3484
2760, 3465, 3024, 3023, 3464, 3486, 3045, 3044, 3485
2761, 3467, 3026, 3025, 3466, 3488, 3047, 3046, 3487
2762, 3468, 3027, 3026, 3467, 3489, 3048, 3047, 3488
2763, 3469, 3028, 3027, 3468, 3490, 3049, 3048, 3489
2764, 3470, 3029, 3028, 3469, 3491, 3050, 3049, 3490
2765, 3471, 3030, 3029, 3470, 3492, 3051, 3050, 3491
2766, 3472, 3031, 3030, 3471, 3493, 3052, 3051, 3492
2767, 3473, 3032, 3031, 3472, 3494, 3053, 3052, 3493
2768, 3474, 3033, 3032, 3473, 3495, 3054, 3053, 3494
2769, 3475, 3034, 3033, 3474, 3496, 3055, 3054, 3495
2770, 3476, 3035, 3034, 3475, 3497, 3056, 3055, 3496
2771, 3477, 3036, 3035, 3476, 3498, 3057, 3056, 3497
2772, 3478, 3037, 3036, 3477, 3499, 3058, 3057, 3498
2773, 3479, 3038, 3037, 3478, 3500, 3059, 3058, 3499
2774, 3480, 3039, 3038, 3479, 3501, 3060, 3059, 3500
2775, 3481, 3040, 3039, 3480, 3502, 3061, 3060, 3501
2776, 3482, 3041, 3040, 3481, 3503, 3062, 3061, 3502
2777, 3483, 3042, 3041, 3482, 3504, 3063, 3062, 3503
2778, 3484, 3043, 3042, 3483, 3505, 3064, 3063, 3504
2779, 3485, 3044, 3043, 3484, 3506, 3065, 3064, 3505
2780, 3486, 3045, 3044, 3485, 3507, 3066, 3065, 3506
2781, 3488, 3047, 3046, 3487, 3509, 3068, 3067, 3508
2782, 3489, 3048, 3047, 3488, 3510, 3069, 3068, 3509
2783, 3490, 3049, 3048, 3489, 3511, 3070, 3069, 3510
2784, 3491, 3050, 3049, 3490, 3512, 3071, 3070, 3511
2785, 3492, 3051, 3050, 3491, 3513, 3072, 3071, 3512
2786, 3493, 3052, 3051, 3492, 3514, 3073, 3072, 3513
2787, 3494, 3053, 3052, 3493, 3515, 3074, 3073, 3514
2788, 3495, 3054, 3053, 3494, 3516, 3075, 3074, 3515
2789, 3496, 3055, 3054, 3495, 3517, 3076, 3075, 3516
2790, 3497, 3056, 3055, 3496, 3518, 3077, 3076, 3517
2791, 3498, 3057, 3056, 3497, 3519, 3078, 3077, 3518
2792, 3499, 3058, 3057, 3498, 3520, 3079, 3078, 3519
2793, 3500, 3059, 3058, 3499, 3521, 3080, 3079, 3520
2794, 3501, 3060, 3059, 3500, 3522, 3081, 3080, 3521
2795, 3502, 3061, 3060, 3501, 3523, 3082, 3081, 3522
2796, 3503, 3062, 3061, 3502, 3524, 3083, 3082, 3523
2797, 3504, 3063, 3062, 3503, 3525, 3084, 3083, 3524
2798, 3505, 3064, 3063, 3504, 3526, 3085, 3084, 3525
2799, 3506, 3065, 3064, 3505, 3527, 3086, 3085, 3526
2800, 3507, 3066, 3065, 3506, 3528, 3087, 3086, 3527
2801, 3530, 3089, 3088, 3529, 3551, 3110, 3109, 3550
2802, 3531, 3090, 3089, 3530, 3552, 3111, 3110, 3551
2803, 3532, 3091, 3090, 3531, 3553, 3112, 3111, 3552
2804, 3533, 3092, 3091, 3532, 3554, 3113, 3112, 3553
2805, 3534, 3093, 3092, 3533, 3555, 3114, 3113, 3554
2806, 3535, 3094, 3093, 3534, 3556, 3115, 3114, 3555
2807, 3536, 3095, 3094, 3535, 3557, 3116, 3115, 3556
2808, 3537, 3096, 3095, 3536, 3558, 3117, 3116, 3557
2809, 3538, 3097, 3096, 3537, 3559, 3118, 3117, 3558
2810, 3539, 3098, 3097, 3538, 3560, 3119, 3118, 3559
2811, 3540, 3099, 3098, 3539, 3561, 3120, 3119, 3560
2812, 3541, 3100, 3099, 3540, 3562, 3121, 3120, 3561
2813, 3542, 3101, 3100, 3541, 3563, 3122, 3121, 3562
2814, 3543, 3102, 3101, 3542, 3564, 3123, 3122, 3563
2815, 3544, 3103, 3102, 3543, 3565, 3124, 3123, 3564
2816, 3545, 3104, 3103, 3544, 3566, 3125, 3124, 3565
2817, 3546, 3105, 3104, 3545, 3567, 3126, 3125, 3566
2818, 3547, 3106, 3105, 3546, 3568, 3127, 3126, 3567
2819, 3548, 3107, 3106, 3547, 3569, 3128, 3127, 3568
2820, 3549, 3108, 3107, 3548, 3570, 3129, 3128, 3569
2821, 3551, 3110, 3109, 3550, 3572, 3131, 3130, 3571
2822, 3552, 3111, 3110, 3551, 3573, 3132, 3131, 3572
2823, 3553, 3112, 3111, 3552, 3574, 3133, 3132, 3573
2824, 3554, 3113, 3112, 3553, 3575, 3134, 3133, 3574
2825, 3555, 3114, 3113, 3554, 3576, 3135, 3134, 3575
2826, 3556, 3115, 3114, 3555, 3577, 3136, 3135, 3576
2827, 3557, 3116, 3115, 3556, 3578, 3137, 3136, 3577
2828, 3558, 3117, 3116, 3557, 3579, 3138, 3137, 3578
2829, 3559, 3118, 3117, 3558, 3580, 3139, 3138, 3579
2830, 3560, 3119, 3118, 3559, 3581, 3140, 3139, 3580
2831, 3561, 3120, 3119, 3560, 3582, 3141, 3140, 3581
2832, 3562, 3121, 3120, 3561, 3583, 3142, 3141, 3582
2833, 3563, 3122, 3121, 3562, 3584, 3143, 3142, 3583
2834, 3564, 3123, 3122, 3563, 3585, 3144, 3143, 3584
2835, 3565, 3124, 3123, 3564, 3586, 3145, 3144, 3585
2836, 3566, 3125, 3124, 3565, 3587, 3146, 3145, 3586
2837, 3567, 3126, 3125, 3566, 3588, 3147, 3146, 3587
2838, 3568, 3127, 3126, 3567, 3589, 3148, 3147, 3588
2839, 3569, 3128, 3127, 3568, 3590, 3149, 3148, 3589
2840, 3570, 3129, 3128, 3569, 3591, 3150, 3149, 3590
2841, 3572, 3131, 3130, 3571, 3593, 3152, 3151, 3592
2842, 3573, 3132, 3131, 3572, 3594, 3153, 3152, 3593
2843, 3574, 3133, 3132, 3573, 3595, 3154, 3153, 3594
2844, 3575, 3134, 3133, 3574, 3596, 3155, 3154, 3595
2845, 3576, 3135, 3134, 3575, 3597, 3156, 3155, 3596
2846, 3577, 3136, 3135, 3576, 3598, 3157, 3156, 3597
2847, 3578, 3137, 3136, 3577, 3599, 3158, 3157, 3598
2848, 3579, 3138, 3137, 3578, 3600, 3159, 3158, 3599
2849, 3580, 3139, 3138, 3579, 3601, 3160, 3159, 3600
2850, 3581, 3140, 3139, 3580, 3602, 3161, 3160, 3601
2851, 3582, 3141, 3140, 3581, 3603, 3162, 3161, 3602
2852, 3583, 3142, 3141, 3582, 3604, 3163, 3162, 3603
2853, 3584, 3143, 3142, 3583, 3605, 3164, 3163, 3604
2854, 3585, 3144, 3143, 3584, 3606, 3165, 3164, 3605
2855, 3586, 3145, 3144, 3585, 3607, 3166, 3165, 3606
2856, 3587, 3146, 3145, 3586, 3608, 3167, 3166, 3607
2857, 3588, 3147, 3146, 3587, 3609, 3168, 3167, 3608
2858, 3589, 3148, 3147, 3588, 3610, 3169, 3168, 3609
2859, 3590, 3149, 3148, 3589, 3611, 3170, 3169, 3610
2860, 3591, 3150, 3149, 3590, 3612, 3171, 3170, 3611
2861, 3593, 3152, 3151, 3592, 3614, 3173, 3172, 3613
2862, 3594, 3153, 3152, 3593, 3615, 3174, 3173, 3614
2863, 3595, 3154, 3153, 3594, 3616, 3175, 3174, 3615
2864, 3596, 3155, 3154, 3595, 3617, 3176, 3175, 3616
2865, 3597, 3156, 3155, 3596, 3618, 3177, 3176, 3617
2866, 3598, 3157, 3156, 3597, 3619, 3178, 3177, 3618
2867, 3599, 3158, 3157, 3598, 3620, 3179, 3178, 3619
2868, 3600, 3159, 3158, 3599, 3621, 3180, 3179, 3620
2869, 3601, 3160, 3159, 3600, 3622, 3181, 3180, 3621
2870, 3602, 3161, 3160, 3601, 3623, 3182, 3181, 3622
2871, 3603, 3162, 3161, 3602, 3624, 3183, 3182, 3623
2872, 3604, 3163, 3162, 3603, 3625, 3184, 3183, 3624
2873, 3605, 3164, 3163, 3604, 3626, 3185, 3184, 3625
2874, 3606, 3165, 3164, 3605, 3627, 3186, 3185, 3626
2875, 3607, 3166, 3165, 3606, 3628, 3187, 3186, 3627
2876, 3608, 3167, 3166, 3607, 3629, 3188, 3187, 3628
2877, 3609, 3168, 3167, 3608, 3630, 3189, 3188, 3629
2878, 3610, 3169, 3168, 3609, 3631, 3190, 3189, 3630
2879, 3611, 3170, 3169, 3610, 3632, 3191, 3190, 3631
2880, 3612, 3171, 3170, 3611, 3633, 3192, 3191, 3632
2881, 3614, 3173, 3172, 3613, 3635, 3194, 3193, 3634
2882, 3615, 3174, 3173, 3614, 3636, 3195, 3194, 3635
2883, 3616, 3175, 3174, 3615, 3637, 3196, 3195, 3636
2884, 3617, 3176, 3175, 3616, 3638, 3197, 3196, 3637
2885, 3618, 3177, 3176, 3617, 3639, 3198, 3197, 3638
2886, 3619, 3178, 3177, 3618, 3640, 3199, 3198, 3639
2887, 3620, 3179, 3178, 3619, 3641, 3200, 3199, 3640
2888, 3621, 3180, 3179, 3620, 3642, 3201, 3200, 3641
2889, 3622, 3181, 3180, 3621, 3643, 3202, 3201, 3642
2890, 3623, 3182, 3181, 3622, 3644, 3203, 3202, 3643
2891, 3624, 3183, 3182, 3623, 3645, 3204, 3203, 3644
2892, 3625, 3184, 3183, 3624, 3646, 3205, 3204, 3645
2893, 3626, 3185, 3184, 3625, 3647, 3206, 3205, 3646
2894, 3627, 3186, 3185, 3626, 3648, 3207, 3206, 3647
2895, 3628, 3187, 3186, 3627, 3649, 3208, 3207, 3648
2896, 3629, 3188, 3187, 3628, 3650, 3209, 3208, 3649
2897, 3630, 3189, 3188, 3629, 3651, 3210, 3209, 3650
2898, 3631, 3190, 3189, 3630, 3652, 3211, 3210, 3651
2899, 3632, 3191, 3190, 3631, 3653, 3212, 3211, 3652
2900, 3633, 3192, 3191, 3632, 3654, 3213, 3212, 3653
2901, 3635, 3194, 3193, 3634, 3656, 3215, 3214, 3655
2902, 3636, 3195, 3194, 3635, 3657, 3216, 3215, 3656
2903, 3637, 3196, 3195, 3636, 3658, 3217, 3216, 3657
2904, 3638, 3197, 3196, 3637, 3659, 3218, 3217, 3658
2905, 3639, 3198, 3197, 3638, 3660, 3219, 3218, 3659
2906, 3640, 3199, 3198, 3639, 3661, 3220, 3219, 3660
2907, 3641, 3200, 3199, 3640, 3662, 3221, 3220, 3661
2908, 3642, 3201, 3200, 3641, 3663, 3222, 3221, 3662
2909, 3643, 3202, 3201, 3642, 3664, 3223, 3222, 3663
2910, 3644, 3203, 3202, 3643, 3665, 3224, 3223, 3664
2911, 3645, 3204, 3203, 3644, 3666, 3225, 3224, 3665
2912, 3646, 3205, 3204, 3645, 3667, 3226, 3225, 3666
2913, 3647, 3206, 3205, 3646, 3668, 3227, 3226, 3667
2914, 3648, 3207, 3206, 3647, 3669, 3228, 3227, 3668
2915, 3649, 3208, 3207, 3648, 3670, 3229, 3228, 3669
2916, 3650, 3209, 3208, 3649, 3671, 3230, 3229, 3670
2917, 3651, 3210, 3209, 3650, 3672, 3231, 3230, 3671
2918, 3652, 3211, 3210, 3651, 3673, 3232, 3231, 3672
2919, 3653, 3212, 3211, 3652, 3674, 3233, 3232, 3673
2920, 3654, 3213, 3212, 3653, 3675, 3234, 3233, 3674
2921, 3656, 3215, 3214, 3655, 3677, 3236, 3235, 3676
2922, 3657, 3216, 3215, 3656, 3678, 3237, 3236, 3677
2923, 3658, 3217, 3216, 3657, 3679, 3238, 3237, 3678
2924, 3659, 3218, 3217, 3658, 3680, 3239, 3238, 3679
2925, 3660, 3219, 3218, 3659, 3681, 3240, 3239, 3680
2926, 3661, 3220, 3219, 3660, 3682, 3241, 3240, 3681
2927, 3662, 3221, 3220, 3661, 3683, 3242, 3241, 3682
2928, 3663, 3222, 3221, 3662, 3684, 3243, 3242, 3683
2929, 3664, 3223, 3222, 3663, 3685, 3244, 3243, 3684
2930, 3665, 3224, 3223, 3664, 3686, 3245, 3244, 3685
2931, 3666, 3225, 3224, 3665, 3687, 3246, 3245, 3686
2932, 3667, 3226, 3225, 3666, 3688, 3247, 3246, 3687
2933, 3668, 3227, 3226, 3667, 3689, 3248, 3247, 3688
2934, 3669, 3228, 3227, 3668, 3690, 3249, 3248, 3689
2935, 3670, 3229, 3228, 3669, 3691, 3250, 3249, 3690
2936, 3671, 3230, 3229, 3670, 3692, 3251, 3250, 3691
2937, 3672, 3231, 3230, 3671, 3693, 3252, 3251, 3692
2938, 3673, 3232, 3231, 3672, 3694, 3253, 3252, 3693
2939, 3674, 3233, 3232, 3673, 3695, 3254, 3253, 3694
2940, 3675, 3234, 3233, 3674, 3696, 3255, 3254, 3695
2941, 3677, 3236, 3235, 3676, 3698, 3257, 3256, 3697
2942, 3678, 3237, 3236, 3677, 3699, 3258, 3257, 3698
2943, 3679, 3238, 3237, 3678, 3700, 3259, 3258, 3699
2944, 3680, 3239, 3238, 3679, 3701, 3260, 3259, 3700
2945, 3681, 3240, 3239, 3680, 3702, 3261, 3260, 3701
2946, 3682, 3241, 3240, 3681, 3703, 3262, 3261, 3702
2947, 3683, 3242, 3241, 3682, 3704, 3263, 3262, 3703
2948, 3684, 3243, 3242, 3683, 3705, 3264, 3263, 3704
2949, 3685, 3244, 3243, 3684, 3706, 3265, 3264, 3705
2950, 3686, 3245, 3244, 3685, 3707, 3266, 3265, 3706
2951, 3687, 3246, 3245, 3686, 3708, 3267, 3266, 3707
2952, 3688, 3247, 3246, 3687, 3709, 3268, 3267, 3708
2953, 3689, 3248, 3247, 3688, 3710, 3269, 3268, 3709
2954, 3690, 3249, 3248, 3689, 3711, 3270, 3269, 3710
2955, 3691, 3250, 3249, 3690, 3712, 3271, 3270, 3711
2956, 3692, 3251, 3250, 3691, 3713, 3272, 3271, 3712
2957, 3693, 3252, 3251, 3692, 3714, 3273, 3272, 3713
2958, 3694, 3253, 3252, 3693, 3715, 3274, 3273, 3714
2959, 3695, 3254, 3253, 3694, 3716, 3275, 3274, 3715
2960, 3696, 3255, 3254, 3695, 3717, 3276, 3275, 3716
2961, 3698, 3257, 3256, 3697, 3719, 3278, 3277, 3718
2962, 3699, 3258, 3257, 3698, 3720, 3279, 3278, 3719
2963, 3700, 3259, 3258, 3699, 3721, 3280, 3279, 3720
2964, 3701, 3260, 3259, 3700, 3722, 3281, 3280, 3721
2965, 3702, 3261, 3260, 3701, 3723, 3282, 3281, 3722
2966, 3703, 3262, 3261, 3702, 3724, 3283, 3282, 3723
2967, 3704, 3263, 3262, 3703, 3725, 3284, 3283, 3724
2968, 3705, 3264, 3263, 3704, 3726, 3285, 3284, 3725
2969, 3706, 3265, 3264, 3705, 3727, 3286, 3285, 3726
2970, 3707, 3266, 3265, 3706, 3728, 3287, 3286, 3727
2971, 3708, 3267, 3266, 3707, 3729, 3288, 3287, 3728
2972, 3709, 3268, 3267, 3708, 3730, 3289, 3288, 3729
2973, 3710, 3269, 3268, 3709, 3731, 3290, 3289, 3730
2974, 3711, 3270, 3269, 3710, 3732, 3291, 3290, 3731
2975, 3712, 3271, 3270, 3711, 3733, 3292, 3291, 3732
2976, 3713, 3272, 3271, 3712, 3734, 3293, 3292, 3733
2977, 3714, 3273, 3272, 3713, 3735, 3294, 3293, 3734
2978, 3715, 3274, 3273, 3714, 3736, 3295, 3294, 3735
2979, 3716, 3275, 3274, 3715, 3737, 3296, 3295, 3736
2980, 3717, 3276, 3275, 3716, 3738, 3297, 3296, 3737
2981, 3719, 3278, 3277, 3718, 3740, 3299, 3298, 3739
2982, 3720, 3279, 3278, 3719, 3741, 3300, 3299, 3740
2983, 3721, 3280, 3279, 3720, 3742, 3301, 3300, 3741
2984, 3722, 3281, 3280, 3721, 3743, 3302, 3301, 3742
2985, 3723, 3282, 3281, 3722, 3744, 3303, 3302, 3743
2986, 3724, 3283, 3282, 3723, 3745, 3304, 3303, 3744
2987, 3725, 3284, 3283, 3724, 3746, 3305, 3304, 3745
2988, 3726, 3285, 3284, 3725, 3747, 3306, 3305, 3746
2989, 3727, 3286, 3285, 3726, 3748, 3307, 3306, 3747
2990, 3728, 3287, 3286, 3727, 3749, 3308, 3307, 3748
2991, 3729, 3288, 3287, 3728, 3750, 3309, 3308, 3749
2992, 3730, 3289, 3288, 3729, 3751, 3310, 3309, 3750
2993, 3731, 3290, 3289, 3730, 3752, 3311, 3310, 3751
2994, 3732, 3291, 3290, 3731, 3753, 3312, 3311, 3752
2995, 3733, 3292, 3291, 3732, 3754, 3313, 3312, 3753
2996, 3734, 3293, 3292, 3733, 3755, 3314, 3313, 3754
2997, 3735, 3294, 3293, 3734, 3756, 3315, 3314, 3755
2998, 3736, 3295, 3294, 3735, 3757, 3316, 3315, 3756
2999, 3737, 3296, 3295, 3736, 3758, 3317, 3316, 3757
3000, 3738, 3297, 3296, 3737, 3759, 3318, 3317, 3758
3001, 3740, 3299, 3298, 3739, 3761, 3320, 3319, 3760
3002, 3741, 3300, 3299, 3740, 3762, 3321, 3320, 3761
3003, 3742, 3301, 3300, 3741, 3763, 3322, 3321, 3762
3004, 3743, 3302, 3301, 3742, 3764, 3323, 3322, 3763
3005, 3744, 3303, 3302, 3743, 3765, 3324, 3323, 3764
3006, 3745, 3304, 3303, 3744, 3766, 3325, 3324, 3765
3007, 3746, 3305, 3304, 3745, 3767, 3326, 3325, 3766
3008, 3747, 3306, 3305, 3746, 3768, 3327, 3326, 3767
3009, 3748, 3307, 3306, 3747, 3769, 3328, 3327, 3768
3010, 3749, 3308, 3307, 3748, 3770, 3329, 3328, 3769
3011, 3750, 3309, 3308, 3749, 3771, 3330, 3329, 3770
3012, 3751, 3310, 3309, 3750, 3772, 3331, 3330, 3771
3013, 3752, 3311, 3310, 3751, 3773, 3332, 3331, 3772
3014, 3753, 3312, 3311, 3752, 3774, 3333, 3332, 3773
3015, 3754, 3313, 3312, 3753, 3775, 3334, 3333, 3774
3016, 3755, 3314, 3313, 3754, 3776, 3335, 3334, 3775
3017, 3756, 3315, 3314, 3755, 3777, 3336, 3335, 3776
3018, 3757, 3316, 3315, 3756, 3778, 3337, 3336, 3777
3019, 3758, 3317, 3316, 3757, 3779, 3338, 3337, 3778
3020, 3759, 3318, 3317, 3758, 3780, 3339, 3338, 3779
3021, 3761, 3320, 3319, 3760, 3782, 3341, 3340, 3781
3022, 3762, 3321, 3320, 3761, 3783, 3342, 3341, 3782
3023, 3763, 3322, 3321, 3762, 3784, 3343, 3342, 3783
3024, 3764, 3323, 3322, 3763, 3785, 3344, 3343, 3784
3025, 3765, 3324, 3323, 3764, 3786, 3345, 3344, 3785
3026, 3766, 3325, 3324, 3765, 3787, 3346, 3345, 3786
3027, 3767, 3326, 3325, 3766, 3788, 3347, 3346, 3787
3028, 3768, 3327, 3326, 3767, 3789, 3348, 3347, 3788
3029, 3769, 3328, 3327, 3768, 3790, 3349, 3348, 3789
3030, 3770, 3329, 3328, 3769, 3791, 3350, 3349, 3790
3031, 3771, 3330, 3329, 3770, 3792, 3351, 3350, 3791
3032, 3772, 3331, 3330, 3771, 3793, 3352, 3351, 3792
3033, 3773, 3332, 3331, 3772, 3794, 3353, 3352, 3793
3034, 3774, 3333, 3332, 3773, 3795, 3354, 3353, 3794
3035, 3775, 3334, 3333, 3774, 3796, 3355, 3354, 3795
3036, 3776, 3335, 3334, 3775, 3797, 3356, 3355, 3796
3037, 3777, 3336, 3335, 3776, 3798, 3357, 3356, 3797
3038, 3778, 3337, 3336, 3777, 3799, 3358, 3357, 3798
3039, 3779, 3338, 3337, 3778, 3800, 3359, 3358, 3799
3040, 3780, 3339, 3338, 3779, 3801, 3360, 3359, 3800
3041, 3782, 3341, 3340, 3781, 3803, 3362, 3361, 3802
3042, 3783, 3342, 3341, 3782, 3804, 3363, 3362, 3803
3043, 3784, 3343, 3342, 3783, 3805, 3364, 3363, 3804
3044, 3785, 3344, 3343, 3784, 3806, 3365, 3364, 3805
3045, 3786, 3345, 3344, 3785, 3807, 3366, 3365, 3806
3046, 3787, 3346, 3345, 3786, 3808, 3367, 3366, 3807
3047, 3788, 3347, 3346, 3787, 3809, 3368, 3367, 3808
3048, 3789, 3348, 3347, 3788, 3810, 3369, 3368, 3809
3049, 3790, 3349, 3348, 3789, 3811, 3370, 3369, 3810
3050, 3791, 3350, 3349, 3790, 3812, 3371, 3370, 3811
3051, 3792, 3351, 3350, 3791, 3813, 3372, 3371, 3812
3052, 3793, 3352, 3351, 3792, 3814, 3373, 3372, 3813
3053, 3794, 3353, 3352, 3793, 3815, 3374, 3373, 3814
3054, 3795, 3354, 3353, 3794, 3816, 3375, 3374, 3815
3055, 3796, 3355, 3354, 3795, 3817, 3376, 3375, 3816
3056, 3797, 3356, 3355, 3796, 3818, 3377, 3376, 3817
3057, 3798, 3357, 3356, 3797, 3819, 3378, 3377, 3818
3058, 3799, 3358, 3357, 3798, 3820, 3379, 3378, 3819
3059, 3800, 3359, 3358, 3799, 3821, 3380, 3379, 3820
3060, 3801, 3360, 3359, 3800, 3822, 3381, 3380, 3821
3061, 3803, 3362, 3361, 3802, 3824, 3383, 3382, 3823
3062, 3804, 3363, 3362, 3803, 3825, 3384, 3383, 3824
3063, 3805, 3364, 3363, 3804, 3826, 3385, 3384, 3825
3064, 3806, 3365, 3364, 3805, 3827, 3386, 3385, 3826
3065, 3807, 3366, 3365, 3806, 3828, 3387, 3386, 3827
3066, 3808, 3367, 3366, 3807, 3829, 3388, 3387, 3828
3067, 3809, 3368, 3367, 3808, 3830, 3389, 3388, 3829
3068, 3810, 3369, 3368, 3809, 3831, 3390, 3389, 3830
3069, 3811, 3370, 3369, 3810, 3832, 3391, 3390, 3831
3070, 3812, 3371, 3370, 3811, 3833, 3392, 3391, 3832
3071, 3813, 3372, 3371, 3812, 3834, 3393, 3392, 3833
3072, 3814, 3373, 3372, 3813, 3835, 3394, 3393, 3834
3073, 3815, 3374, 3373, 3814, 3836, 3395, 3394, 3835
3074, 3816, 3375, 3374, 3815, 3837, 3396, 3395, 3836
3075, 3817, 3376, 3375, 3816, 3838, 3397, 3396, 3837
3076, 3818, 3377, 3376, 3817, 3839, 3398, 3397, 3838
3077, 3819, 3378, 3377, 3818, 3840, 3399, 3398, 3839
3078, 3820, 3379, 3378, 3819, 3841, 3400, 3399, 3840
3079, 3821, 3380, 3379, 3820, 3842, 3401, 3400, 3841
3080, 3822, 3381, 3380, 3821, 3843, 3402, 3401, 3842
3081, 3824, 3383, 3382, 3823, 3845, 3404, 3403, 3844
3082, 3825, 3384, 3383, 3824, 3846, 3405, 3404, 3845
3083, 3826, 3385, 3384, 3825, 3847, 3406, 3405, 3846
3084, 3827, 3386, 3385, 3826, 3848, 3407, 3406, 3847
3085, 3828, 3387, 3386, 3827, 3849, 3408, 3407, 3848
3086, 3829, 3388, 3387, 3828, 3850, 3409, 3408, 3849
3087, 3830, 3389, 3388, 3829, 3851, 3410, 3409, 3850
3088, 3831, 3390, 3389, 3830, 3852, 3411, 3410, 3851
3089, 3832, 3391, 3390, 3831, 3853, 3412, 3411, 3852
3090, 3833, 3392, 3391, 3832, 3854, 3413, 3412, 3853
3091, 3834, 3393, 3392, 3833, 3855, 3414, 3413, 3854
3092, 3835, 3394, 3393, 3834, 3856, 3415, 3414, 3855
3093, 3836, 3395, 3394, 3835, 3857, 3416, 3415, 3856
3094, 3837, 3396, 3395, 3836, 3858, 3417, 3416, 3857
3095, 3838, 3397, 3396, 3837, 3859, 3418, 3417, 3858
3096, 3839, 3398, 3397, 3838, 3860, 3419, 3418, 3859
3097, 3840, 3399, 3398, 3839, 3861, 3420, 3419, 3860
3098, 3841, 3400, 3399, 3840, 3862, 3421, 3420, 3861
3099, 3842, 3401, 3400, 3841, 3863, 3422, 3421, 3862
3100, 3843, 3402, 3401, 3842, 3864, 3423, 3422, 3863
3101, 3845, 3404, 3403, 3844, 3866, 3425, 3424, 3865
3102, 3846, 3405, 3404, 3845, 3867, 3426, 3425, 3866
3103, 3847, 3406, 3405, 3846, 3868, 3427, 3426, 3867
3104, 3848, 3407, 3406, 3847, 3869, 3428, 3427, 3868
3105, 3849, 3408, 3407, 3848, 3870, 3429, 3428, 3869
3106, 3850, 3409, 3408, 3849, 3871, 3430, 3429, 3870
3107, 3851, 3410, 3409, 3850, 3872, 3431, 3430, 3871
3108, 3852, 3411, 3410, 3851, 3873, 3432, 3431, 3872
3109, 3853, 3412, 3411, 3852, 3874, 3433, 3432, 3873
3110, 3854, 3413, 3412, 3853, 3875, 3434, 3433, 3874
3111, 3855, 3414, 3413, 3854, 3876, 3435, 3434, 3875
3112, 3856, 3415, 3414, 3855, 3877, 3436, 3435, 3876
3113, 3857, 3416, 3415, 3856, 3878, 3437, 3436, 3877
3114, 3858, 3417, 3416, 3857, 3879, 3438, 3437, 3878
3115, 3859, 3418, 3417, 3858, 3880, 3439, 3438, 3879
3116, 3860, 3419, 3418, 3859, 3881, 3440, 3439, 3880
3117, 3861, 3420, 3419, 3860, 3882, 3441, 3440, 3881
3118, 3862, 3421, 3420, 3861, 3883, 3442, 3441, 3882
3119, 3863, 3422, 3421, 3862, 3884, 3443, 3442, 3883
3120, 3864, 3423, 3422, 3863, 3885, 3444, 3443, 3884
3121, 3866, 3425, 3424, 3865, 3887, 3446, 3445, 3886
3122, 3867, 3426, 3425, 3866, 3888, 3447, 3446, 3887
3123, 3868, 3427, 3426, 3867, 3889, 3448, 3447, 3888
3124, 3869, 3428, 3427, 3868, 3890, 3449, 3448, 3889
3125, 3870, 3429, 3428, 3869, 3891, 3450, 3449, 3890
3126, 3871, 3430, 3429, 3870, 3892, 3451, 3450, 3891
3127, 3872, 3431, 3430, 3871, 3893, 3452, 3451, 3892
3128, 3873, 3432, 3431, 3872, 3894, 3453, 3452, 3893
3129, 3874, 3433, 3432, 3873, 3895, 3454, 3453, 3894
3130, 3875, 3434, 3433, 3874, 3896, 3455, 3454, 3895
3131, 3876, 3435, 3434, 3875, 3897, 3456, 3455, 3896
3132, 3877, 3436, 3435, 3876, 3898, 3457, 3456, 3897
3133, 3878, 3437, 3436, 3877, 3899, 3458, 3457, 3898
3134, 3879, 3438, 3437, 3878, 3900, 3459, 3458, 3899
3135, 3880, 3439, 3438, 3879, 3901, 3460, 3459, 3900
3136, 3881, 3440, 3439, 3880, 3902, 3461, 3460, 3901
3137, 3882, 3441, 3440, 3881, 3903, 3462, 3461, 3902
3138, 3883, 3442, 3441, 3882, 3904, 3463, 3462, 3903
3139, 3884, 3443, 3442, 3883, 3905, 3464, 3463, 3904
3140, 3885, 3444, 3443, 3884, 3906, 3465, 3464, 3905
3141, 3887, 3446, 3445, 3886, 3908, 3467, 3466, 3907
3142, 3888, 3447, 3446, 3887, 3909, 3468, 3467, 3908
3143, 3889, 3448, 3447, 3888, 3910, 3469, 3468, 3909
3144, 3890, 3449, 3448, 3889, 3911, 3470, 3469, 3910
3145, 3891, 3450, 3449, 3890, 3912, 3471, 3470, 3911
3146, 3892, 3451, 3450, 3891, 3913, 3472, 3471, 3912
3147, 3893, 3452, 3451, 3892, 3914, 3473, 3472, 3913
3148, 3894, 3453, 3452, 3893, 3915, 3474, 3473, 3914
3149, 3895, 3454, 3453, 3894, 3916, 3475, 3474, 3915
3150, 3896, 3455, 3454, 3895, 3917, 3476, 3475, 3916
3151, 3897, 3456, 3455, 3896, 3918, 3477, 3476, 3917
3152, 3898, 3457, 3456, 3897, 3919, 3478, 3477, 3918
3153, 3899, 3458, 3457, 3898, 3920, 3479, 3478, 3919
3154, 3900, 3459, 3458, 3899, 3921, 3480, 3479, 3920
3155, 3901, 3460, 3459, 3900, 3922, 3481, 3480, 3921
3156, 3902, 3461, 3460, 3901, 3923, 3482, 3481, 3922
3157, 3903, 3462, 3461, 3902, 3924, 3483, 3482, 3923
3158, 3904, 3463, 3462, 3903, 3925, 3484, 3483, 3924
3159, 3905, 3464, 3463, 3904, 3926, 3485, 3484, 3925
3160, 3906, 3465, 3464, 3905, 3927, 3486, 3485, 3926
3161, 3908, 3467, 3466, 3907, 3929, 3488, 3487, 3928
3162, 3909, 3468, 3467, 3908, 3930, 3489, 3488, 3929
3163, 3910, 3469, 3468, 3909, 3931, 3490, 3489, 3930
3164, 3911, 3470, 3469, 3910, 3932, 3491, 3490, 3931
3165, 3912, 3471, 3470, 3911, 3933, 3492, 3491, 3932
3166, 3913, 3472, 3471, 3912, 3934, 3493, 3492, 3933
3167, 3914, 3473, 3472, 3913, 3935, 3494, 3493, 3934
3168, 3915, 3474, 3473, 3914, 3936, 3495, 3494, 3935
3169, 3916, 3475, 3474, 3915, 3937, 3496, 3495, 3936
3170, 3917, 3476, 3475, 3916, 3938, 3497, 3496, 3937
3171, 3918, 3477, 3476, 3917, 3939, 3498, 3497, 3938
3172, 3919, 3478, 3477, 3918, 3940, 3499, 3498, 3939
3173, 3920, 3479, 3478, 3919, 3941, 3500, 3499, 3940
3174, 3921, 3480, 3479, 3920, 3942, 3501, 3500, 3941
3175, 3922, 3481, 3480, 3921, 3943, 3502, 3501, 3942
3176, 3923, 3482, 3481, 3922, 3944, 3503, 3502, 3943
3177, 3924, 3483, 3482, 3923, 3945, 3504, 3503, 3944
3178, 3925, 3484, 3483, 3924, 3946, 3505, 3504, 3945
3179, 3926, 3485, 3484, 3925, 3947, 3506, 3505, 3946
3180, 3927, 3486, 3485, 3926, 3948, 3507, 3506, 3947
3181, 3929, 3488, 3487, 3928, 3950, 3509, 3508, 3949
3182, 3930, 3489, 3488, 3929, 3951, 3510, 3509, 3950
3183, 3931, 3490, 3489, 3930, 3952, 3511, 3510, 3951
3184, 3932, 3491, 3490, 3931, 3953, 3512, 3511, 3952
3185, 3933, 3492, 3491, 3932, 3954, 3513, 3512, 3953
3186, 3934, 3493, 3492, 3933, 3955, 3514, 3513, 3954
3187, 3935, 3494, 3493, 3934, 3956, 3515, 3514, 3955
3188, 3936, 3495, 3494, 3935, 3957, 3516, 3515, 3956
3189, 3937, 3496, 3495, 3936, 3958, 3517, 3516, 3957
3190, 3938, 3497, 3496, 3937, 3959, 3518, 3517, 3958
3191, 3939, 3498, 3497, 3938, 3960, 3519, 3518, 3959
3192, 3940, 3499, 3498, 3939, 3961, 3520, 3519, 3960
3193, 3941, 3500, 3499, 3940, 3962, 3521, 3520, 3961
3194, 3942, 3501, 3500, 3941, 3963, 3522, 3521, 3962
3195, 3943, 3502, 3501, 3942, 3964, 3523, 3522, 3963
3196, 3944, 3503, 3502, 3943, 3965, 3524, 3523, 3964
3197, 3945, 3504, 3503, 3944, 3966, 3525, 3524, 3965
3198, 3946, 3505, 3504, 3945, 3967, 3526, 3525, 3966
3199, 3947, 3506, 3505, 3946, 3968, 3527, 3526, 3967
3200, 3948, 3507, 3506, 3947, 3969, 3528, 3527, 3968
3201, 3971, 3530, 3529, 3970, 3992, 3551, 3550, 3991
3202, 3972, 3531, 3530, 3971, 3993, 3552, 3551, 3992
3203, 3973, 3532, 3531, 3972, 3994, 3553, 3552, 3993
3204, 3974, 3533, 3532, 3973, 3995, 3554, 3553, 3994
3205, 3975, 3534, 3533, 3974, 3996, 3555, 3554, 3995
3206, 3976, 3535, 3534, 3975, 3997, 3556, 3555, 3996
3207, 3977, 3536, 3535, 3976, 3998, 3557, 3556, 3997
3208, 3978, 3537, 3536, 3977, 3999, 3558, 3557, 3998
3209, 3979, 3538, 3537, 3978, 4000, 3559, 3558, 3999
3210, 3980, 3539, 3538, 3979, 4001, 3560, 3559, 4000
3211, 3981, 3540, 3539, 3980, 4002, 3561, 3560, 4001
3212, 3982, 3541, 3540, 3981, 4003, 3562, 3561, 4002
3213, 3983, 3542, 3541, 3982, 4004, 3563, 3562, 4003
3214, 3984, 3543, 3542, 3983, 4005, 3564, 3563, 4004
3215, 3985, 3544, 3543, 3984, 4006, 3565, 3564, 4005
3216, 3986, 3545, 3544, 3985, 4007, 3566, 3565, 4006
3217, 3987, 3546, 3545, 3986, 4008, 3567, 3566, 4007
3218, 3988, 3547, 3546, 3987, 4009, 3568, 3567, 4008
3219, 3989, 3548, 3547, 3988, 4010, 3569, 3568, 4009
3220, 3990, 3549, 3548, 3989, 4011, 3570, 3569, 4010
3221, 3992, 3551, 3550, 3991, 4013, 3572, 3571, 4012
3222, 3993, 3552, 3551, 3992, 4014, 3573, 3572, 4013
3223, 3994, 3553, 3552, 3993, 4015, 3574, 3573, 4014
3224, 3995, 3554, 3553, 3994, 4016, 3575, 3574, 4015
3225, 3996, 3555, 3554, 3995, 4017, 3576, 3575, 4016
3226, 3997, 3556, 3555, 3996, 4018, 3577, 3576, 4017
3227, 3998, 3557, 3556, 3997, 4019, 3578, 3577, 4018
3228, 3999, 3558, 3557, 3998, 4020, 3579, 3578, 4019
3229, 4000, 3559, 3558, 3999, 4021, 3580, 3579, 4020
3230, 4001, 3560, 3559, 4000, 4022, 3581, 3580, 4021
3231, 4002, 3561, 3560, 4001, 4023, 3582, 3581, 4022
3232, 4003, 3562, 3561, 4002, 4024, 3583, 3582, 4023
3233, 4004, 3563, 3562, 4003, 4025, 3584, 3583, 4024
3234, 4005, 3564, 3563, 4004, 4026, 3585, 3584, 4025
3235, 4006, 3565, 3564, 4005, 4027, 3586, 3585, 4026
3236, 4007, 3566, 3565, 4006, 4028, 3587, 3586, 4027
3237, 4008, 3567, 3566, 4007, 4029, 3588, 3587, 4028
3238, 4009, 3568, 3567, 4008, 4030, 3589, 3588, 4029
3239, 4010, 3569, 3568, 4009, 4031, 3590, 3589, 4030
3240, 4011, 3570, 3569, 4010, 4032, 3591, 3590, 4031
3241, 4013, 3572, 3571, 4012, 4034, 3593, 3592, 4033
3242, 4014, 3573, 3572, 4013, 4035, 3594, 3593, 4034
3243, 4015, 3574, 3573, 4014, 4036, 3595, 3594, 4035
3244, 4016, 3575, 3574, 4015, 4037, 3596, 3595, 4036
3245, 4017, 3576, 3575, 4016, 4038, 3597, 3596, 4037
3246, 4018, 3577, 3576, 4017, 4039, 3598, 3597, 4038
3247, 4019, 3578, 3577, 4018, 4040, 3599, 3598, 4039
3248, 4020, 3579, 3578, 4019, 4041, 3600, 3599, 4040
3249, 4021, 3580, 3579, 4020, 4042, 3601, 3600, 4041
3250, 4022, 3581, 3580, 4021, 4043, 3602, 3601, 4042
3251, 4023, 3582, 3581, 4022, 4044, 3603, 3602, 4043
3252, 4024, 3583, 3582, 4023, 4045, 3604, 3603, 4044
3253, 4025, 3584, 3583, 4024, 4046, 3605, 3604, 4045
3254, 4026, 3585, 3584, 4025, 4047, 3606, 3605, 4046
3255, 4027, 3586, 3585, 4026, 4048, 3607, 3606, 4047
3256, 4028, 3587, 3586, 4027, 4049, 3608, 3607, 4048
3257, 4029, 3588, 3587, 4028, 4050, 3609, 3608, 4049
3258, 4030, 3589, 3588, 4029, 4051, 3610, 3609, 4050
3259, 4031, 3590, 3589, 4030, 4052, 3611, 3610, 4051
3260, 4032, 3591, 3590, 4031, 4053, 3612, 3611, 4052
3261, 4034, 3593, 3592, 4033, 4055, 3614, 3613, 4054
3262, 4035, 3594, 3593, 4034, 4056, 3615, 3614, 4055
3263, 4036, 3595, 3594, 4035, 4057, 3616, 3615, 4056
3264, 4037, 3596, 3595, 4036, 4058, 3617, 3616, 4057
3265, 4038, 3597, 3596, 4037, 4059, 3618, 3617, 4058
3266, 4039, 3598, 3597, 4038, 4060, 3619, 3618, 4059
3267, 4040, 3599, 3598, 4039, 4061, 3620, 3619, 4060
3268, 4041, 3600, 3599, 4040, 4062, 3621, 3620, 4061
3269, 4042, 3601, 3600, 4041, 4063, 3622, 3621, 4062
3270, 4043, 3602, 3601, 4042, 4064, 3623, 3622, 4063
3271, 4044, 3603, 3602, 4043, 4065, 3624, 3623, 4064
3272, 4045, 3604, 3603, 4044, 4066, 3625, 3624, 4065
3273, 4046, 3605, 3604, 4045, 4067, 3626, 3625, 4066
3274, 4047, 3606, 3605, 4046, 4068, 3627, 3626, 4067
3275, 4048, 3607, 3606, 4047, 4069, 3628, 3627, 4068
3276, 4049, 3608, 3607, 4048, 4070, 3629, 3628, 4069
3277, 4050, 3609, 3608, 4049, 4071, 3630, 3629, 4070
3278, 4051, 3610, 3609, 4050, 4072, 3631, 3630, 4071
3279, 4052, 3611, 3610, 4051, 4073, 3632, 3631, 4072
3280, 4053, 3612, 3611, 4052, 4074, 3633, 3632, 4073
3281, 4055, 3614, 3613, 4054, 4076, 3635, 3634, 4075
3282, 4056, 3615, 3614, 4055, 4077, 3636, 3635, 4076
3283, 4057, 3616, 3615, 4056, 4078, 3637, 3636, 4077
3284, 4058, 3617, 3616, 4057, 4079, 3638, 3637, 4078
3285, 4059, 3618, 3617, 4058, 4080, 3639, 3638, 4079
3286, 4060, 3619, 3618, 4059, 4081, 3640, 3639, 4080
3287, 4061, 3620, 3619, 4060, 4082, 3641, 3640, 4081
3288, 4062, 3621, 3620, 4061, 4083, 3642, 3641, 4082
3289, 4063, 3622, 3621, 4062, 4084, 3643, 3642, 4083
3290, 4064, 3623, 3622, 4063, 4085, 3644, 3643, 4084
3291, 4065, 3624, 3623, 4064, 4086, 3645, 3644, 4085
3292, 4066, 3625, 3624, 4065, 4087, 3646, 3645, 4086
3293, 4067, 3626, 3625, 4066, 4088, 3647, 3646, 4087
3294, 4068, 3627, 3626, 4067, 4089, 3648, 3647, 4088
3295, 4069, 3628, 3627, 4068, 4090, 3649, 3648, 4089
3296, 4070, 3629, 3628, 4069, 4091, 3650, 3649, 4090
3297, 4071, 3630, 3629, 4070, 4092, 3651, 3650, 4091
3298, 4072, 3631, 3630, 4071, 4093, 3652, 3651, 4092
3299, 4073, 3632, 3631, 4072, 4094, 3653, 3652, 4093
3300, 4074, 3633, 3632, 4073, 4095, 3654, 3653, 4094
3301, 4076, 3635, 3634, 4075, 4097, 3656, 3655, 4096
3302, 4077, 3636, 3635, 4076, 4098, 3657, 3656, 4097
3303, 4078, 3637, 3636, 4077, 4099, 3658, 3657, 4098
3304, 4079, 3638, 3637, 4078, 4100, 3659, 3658, 4099
3305, 4080, 3639, 3638, 4079, 4101, 3660, 3659, 4100
3306, 4081, 3640, 3639, 4080, 4102, 3661, 3660, 4101
3307, 4082, 3641, 3640, 4081, 4103, 3662, 3661, 4102
3308, 4083, 3642, 3641, 4082, 4104, 3663, 3662, 4103
3309, 4084, 3643, 3642, 4083, 4105, 3664, 3663, 4104
3310, 4085, 3644, 3643, 4084, 4106, 3665, 3664, 4105
3311, 4086, 3645, 3644, 4085, 4107, 3666, 3665, 4106
3312, 4087, 3646, 3645, 4086, 4108, 3667, 3666, 4107
3313, 4088, 3647, 3646, 4087, 4109, 3668, 3667, 4108
3314, 4089, 3648, 3647, 4088, 4110, 3669, 3668, 4109
3315, 4090, 3649, 3648, 4089, 4111, 3670, 3669, 4110
3316, 4091, 3650, 3649, 4090, 4112, 3671, 3670, 4111
3317, 4092, 3651, 3650, 4091, 4113, 3672, 3671, 4112
3318, 4093, 3652, 3651, 4092, 4114, 3673, 3672, 4113
3319, 4094, 3653, 3652, 4093, 4115, 3674, 3673, 4114
3320, 4095, 3654, 3653, 4094, 4116, 3675, 3674, 4115
3321, 4097, 3656, 3655, 4096, 4118, 3677, 3676, 4117
3322, 4098, 3657, 3656, 4097, 4119, 3678, 3677, 4118
3323, 4099, 3658, 3657, 4098, 4120, 3679, 3678, 4119
3324, 4100, 3659, 3658, 4099, 4121, 3680, 3679, 4120
3325, 4101, 3660, 3659, 4100, 4122, 3681, 3680, 4121
3326, 4102, 3661, 3660, 4101, 4123, 3682, 3681, 4122
3327, 4103, 3662, 3661, 4102, 4124, 3683, 3682, 4123
3328, 4104, 3663, 3662, 4103, 4125, 3684, 3683, 4124
3329, 4105, 3664, 3663, 4104, 4126, 3685, 3684, 4125
3330, 4106, 3665, 3664, 4105, 4127, 3686, 3685, 4126
3331, 4107, 3666, 3665, 4106, 4128, 3687, 3686, 4127
3332, 4108, 3667, 3666, 4107, 4129, 3688, 3687, 4128
3333, 4109, 3668, 3667, 4108, 4130, 3689, 3688, 4129
3334, 4110, 3669, 3668, 4109, 4131, 3690, 3689, 4130
3335, 4111, 3670, 3669, 4110, 4132, 3691, 3690, 4131
3336, 4112, 3671, 3670, 4111, 4133, 3692, 3691, 4132
3337, 4113, 3672, 3671, 4112, 4134, 3693, 3692, 4133
3338, 4114, 3673, 3672, 4113, 4135, 3694, 3693, 4134
3339, 4115, 3674, 3673, 4114, 4136, 3695, 3694, 4135
3340, 4116, 3675, 3674, 4115, 4137, 3696, 3695, 4136
3341, 4118, 3677, 3676, 4117, 4139, 3698, 3697, 4138
3342, 4119, 3678, 3677, 4118, 4140, 3699, 3698, 4139
3343, 4120, 3679, 3678, 4119, 4141, 3700, 3699, 4140
3344, 4121, 3680, 3679, 4120, 4142, 3701, 3700, 4141
3345, 4122, 3681, 3680, 4121, 4143, 3702, 3701, 4142
3346, 4123, 3682, 3681, 4122, 4144, 3703, 3702, 4143
3347, 4124, 3683, 3682, 4123, 4145, 3704, 3703, 4144
3348, 4125, 3684, 3683, 4124, 4146, 3705, 3704, 4145
3349, 4126, 3685, 3684, 4125, 4147, 3706, 3705, 4146
3350, 4127, 3686, 3685, 4126, 4148, 3707, 3706, 4147
3351, 4128, 3687, 3686, 4127, 4149, 3708, 3707, 4148
3352, 4129, 3688, 3687, 4128, 4150, 3709, 3708, 4149
3353, 4130, 3689, 3688, 4129, 4151, 3710, 3709, 4150
3354, 4131, 3690, 3689, 4130, 4152, 3711, 3710, 4151
3355, 4132, 3691, 3690, 4131, 4153, 3712, 3711, 4152
3356, 4133, 3692, 3691, 4132, 4154, 3713, 3712, 4153
3357, 4134, 3693, 3692, 4133, 4155, 3714, 3713, 4154
3358, 4135, 3694, 3693, 4134, 4156, 3715, 3714, 4155
3359, 4136, 3695, 3694, 4135, 4157, 3716, 3715, 4156
3360, 4137, 3696, 3695, 4136, 4158, 3717, 3716, 4157
3361, 4139, 3698, 3697, 4138, 4160, 3719, 3718, 4159
3362, 4140, 3699, 3698, 4139, 4161, 3720, 3719, 4160
3363, 4141, 3700, 3699, 4140, 4162, 3721, 3720, 4161
3364, 4142, 3701, 3700, 4141, 4163, 3722, 3721, 4162
3365, 4143, 3702, 3701, 4142, 4164, 3723, 3722, 4163
3366, 4144, 3703, 3702, 4143, 4165, 3724, 3723, 4164
3367, 4145, 3704, 3703, 4144, 4166, 3725, 3724, 4165
3368, 4146, 3705, 3704, 4145, 4167, 3726, 3725, 4166
3369, 4147, 3706, 3705, 4146, 4168, 3727, 3726, 4167
3370, 4148, 3707, 3706, 4147, 4169, 3728, 3727, 4168
3371, 4149, 3708, 3707, 4148, 4170, 3729, 3728, 4169
3372, 4150, 3709, 3708, 4149, 4171, 3730, 3729, 4170
3373, 4151, 3710, 3709, 4150, 4172, 3731, 3730, 4171
3374, 4152, 3711, 3710, 4151, 4173, 3732, 3731, 4172
3375, 4153, 3712, 3711, 4152, 4174, 3733, 3732, 4173
3376, 4154, 3713, 3712, 4153, 4175, 3734, 3733, 4174
3377, 4155, 3714, 3713, 4154, 4176, 3735, 3734, 4175
3378, 4156, 3715, 3714, 4155, 4177, 3736, 3735, 4176
3379, 4157, 3716, 3715, 4156, 4178, 3737, 3736, 4177
3380, 4158, 3717, 3716, 4157, 4179, 3738, 3737, 4178
3381, 4160, 3719, 3718, 4159, 4181, 3740, 3739, 4180
3382, 4161, 3720, 3719, 4160, 4182, 3741, 3740, 4181
3383, 4162, 3721, 3720, 4161, 4183, 3742, 3741, 4182
3384, 4163, 3722, 3721, 4162, 4184, 3743, 3742, 4183
3385, 4164, 3723, 3722, 4163, 4185, 3744, 3743, 4184
3386, 4165, 3724, 3723, 4164, 4186, 3745, 3744, 4185
3387, 4166, 3725, 3724, 4165, 4187, 3746, 3745, 4186
3388, 4167, 3726, 3725, 4166, 4188, 3747, 3746, 4187
3389, 4168, 3727, 3726, 4167, 4189, 3748, 3747, 4188
3390, 4169, 3728, 3727, 4168, 4190, 3749, 3748, 4189
3391, 4170, 3729, 3728, 4169, 4191, 3750, 3749, 4190
3392, 4171, 3730, 3729, 4170, 4192, 3751, 3750, 4191
3393, 4172, 3731, 3730, 4171, 4193, 3752, 3751, 4192
3394, 4173, 3732, 3731, 4172, 4194, 3753, 3752, 4193
3395, 4174, 3733, 3732, 4173, 4195, 3754, 3753, 4194
3396, 4175, 3734, 3733, 4174, 4196, 3755, 3754, 4195
3397, 4176, 3735, 3734, 4175, 4197, 3756, 3755, 4196
3398, 4177, 3736, 3735, 4176, 4198, 3757, 3756, 4197
3399, 4178, 3737, 3736, 4177, 4199, 3758, 3757, 4198
3400, 4179, 3738, 3737, 4178, 4200, 3759, 3758, 4199
3401, 4181, 3740, 3739, 4180, 4202, 3761, 3760, 4201
3402, 4182, 3741, 3740, 4181, 4203, 3762, 3761, 4202
3403, 4183, 3742, 3741, 4182, 4204, 3763, 3762, 4203
3404, 4184, 3743, 3742, 4183, 4205, 3764, 3763, 4204
3405, 4185, 3744, 3743, 4184, 4206, 3765, 3764, 4205
3406, 4186, 3745, 3744, 4185, 4207, 3766, 3765, 4206
3407, 4187, 3746, 3745, 4186, 4208, 3767, 3766, 4207
3408, 4188, 3747, 3746, 4187, 4209, 3768, 3767, 4208
3409, 4189, 3748, 3747, 4188, 4210, 3769, 3768, 4209
3410, 4190, 3749, 3748, 4189, 4211, 3770, 3769, 4210
3411, 4191, 3750, 3749, 4190, 4212, 3771, 3770, 4211
3412, 4192, 3751, 3750, 4191, 4213, 3772, 3771, 4212
3413, 4193, 3752, 3751, 4192, 4214, 3773, 3772, 4213
3414, 4194, 3753, 3752, 4193, 4215, 3774, 3773, 4214
3415, 4195, 3754, 3753, 4194, 4216, 3775, 3774, 4215
3416, 4196, 3755, 3754, 4195, 4217, 3776, 3775, 4216
3417, 4197, 3756, 3755, 4196, 4218, 3777, 3776, 4217
3418, 4198, 3757, 3756, 4197, 4219, 3778, 3777, 4218
3419, 4199, 3758, 3757, 4198, 4220, 3779, 3778, 4219
3420, 4200, 3759, 3758, 4199, 4221, 3780, 3779, 4220
3421, 4202, 3761, 3760, 4201, 4223, 3782, 3781, 4222
3422, 4203, 3762, 3761, 4202, 4224, 3783, 3782, 4223
3423, 4204, 3763, 3762, 4203, 4225, 3784, 3783, 4224
3424, 4205, 3764, 3763, 4204, 4226, 3785, 3784, 4225
3425, 4206, 3765, 3764, 4205, 4227, 3786, 3785, 4226
3426, 4207, 3766, 3765, 4206, 4228, 3787, 3786, 4227
3427, 4208, 3767, 3766, 4207, 4229, 3788, 3787, 4228
3428, 4209, 3768, 3767, 4208, 4230, 3789, 3788, 4229
3429, 4210, 3769, 3768, 4209, 4231, 3790, 3789, 4230
3430, 4211, 3770, 3769, 4210, 4232, 3791, 3790, 4231
3431, 4212, 3771, 3770, 4211, 4233, 3792, 3791, 4232
3432, 4213, 3772, 3771, 4212, 4234, 3793, 3792, 4233
3433, 4214, 3773, 3772, 4213, 4235, 3794, 3793, 4234
3434, 4215, 3774, 3773, 4214, 4236, 3795, 3794, 4235
3435, 4216, 3775, 3774, 4215, 4237, 3796, 3795, 4236
3436, 4217, 3776, 3775, 4216, 4238, 3797, 3796, 4237
3437, 4218, 3777, 3776, 4217, 4239, 3798, 3797, 4238
3438, 4219, 3778, 3777, 4218, 4240, 3799, 3798, 4239
3439, 4220, 3779, 3778, 4219, 4241, 3800, 3799, 4240
3440, 4221, 3780, 3779, 4220, 4242, 3801, 3800, 4241
3441, 4223, 3782, 3781, 4222, 4244, 3803, 3802, 4243
3442, 4224, 3783, 3782, 4223, 4245, 3804, 3803, 4244
3443, 4225, 3784, 3783, 4224, 4246, 3805, 3804, 4245
3444, 4226, 3785, 3784, 4225, 4247, 3806, 3805, 4246
3445, 4227, 3786, 3785, 4226, 4248, 3807, 3806, 4247
3446, 4228, 3787, 3786, 4227, 4249, 3808, 3807, 4248
3447, 4229, 3788, 3787, 4228, 4250, 3809, 3808, 4249
3448, 4230, 3789, 3788, 4229, 4251, 3810, 3809, 4250
3449, 4231, 3790, 3789, 4230, 4252, 3811, 3810, 4251
3450, 4232, 3791, 3790, 4231, 4253, 3812, 3811, 4252
3451, 4233, 3792, 3791, 4232, 4254, 3813, 3812, 4253
3452, 4234, 3793, 3792, 4233, 4255, 3814, 3813, 4254
3453, 4235, 3794, 3793, 4234, 4256, 3815, 3814, 4255
3454, 4236, 3795, 3794, 4235, 4257, 3816, 3815, 4256
3455, 4237, 3796, 3795, 4236, 4258, 3817, 3816, 4257
3456, 4238, 3797, 3796, 4237, 4259, 3818, 3817, 4258
3457, 4239, 3798, 3797, 4238, 4260, 3819, 3818, 4259
3458, 4240, 3799, 3798, 4239, 4261, 3820, 3819, 4260
3459, 4241, 3800, 3799, 4240, 4262, 3821, 3820, 4261
3460, 4242, 3801, 3800, 4241, 4263, 3822, 3821, 4262
3461, 4244, 3803, 3802, 4243, 4265, 3824, 3823, 4264
3462, 4245, 3804, 3803, 4244, 4266, 3825, 3824, 4265
3463, 4246, 3805, 3804, 4245, 4267, 3826, 3825, 4266
3464, 4247, 3806, 3805, 4246, 4268, 3827, 3826, 4267
3465, 4248, 3807, 3806, 4247, 4269, 3828, 3827, 4268
3466, 4249, 3808, 3807, 4248, 4270, 3829, 3828, 4269
3467, 4250, 3809, 3808, 4249, 4271, 3830, 3829, 4270
3468, 4251, 3810, 3809, 4250, 4272, 3831, 3830, 4271
3469, 4252, 3811, 3810, 4251, 4273, 3832, 3831, 4272
3470, 4253, 3812, 3811, 4252, 4274, 3833, 3832, 4273
3471, 4254, 3813, 3812, 4253, 4275, 3834, 3833, 4274
3472, 4255, 3814, 3813, 4254, 4276, 3835, 3834, 4275
3473, 4256, 3815, 3814, 4255, 4277, 3836, 3835, 4276
3474, 4257, 3816, 3815, 4256, 4278, 3837, 3836, 4277
3475, 4258, 3817, 3816, 4257, 4279, 3838, 3837, 4278
3476, 4259, 3818, 3817, 4258, 4280, 3839, 3838, 4279
3477, 4260, 3819, 3818, 4259, 4281, 3840, 3839, 4280
3478, 4261, 3820, 3819, 4260, 4282, 3841, 3840, 4281
3479, 4262, 3821, 3820, 4261, 4283, 3842, 3841, 4282
3480, 4263, 3822, 3821, 4262, 4284, 3843, 3842, 4283
3481, 4265, 3824, 3823, 4264, 4286, 3845, 3844, 4285
3482, 4266, 3825, 3824, 4265, 4287, 3846, 3845, 4286
3483, 4267, 3826, 3825, 4266, 4288, 3847, 3846, 4287
3484, 4268, 3827, 3826, 4267, 4289, 3848, 3847, 4288
3485, 4269, 3828, 3827, 4268, 4290, 3849, 3848, 4289
3486, 4270, 3829, 3828, 4269, 4291, 3850, 3849, 4290
3487, 4271, 3830, 3829, 4270, 4292, 3851, 3850, 4291
3488, 4272, 3831, 3830, 4271, 4293, 3852, 3851, 4292
3489, 4273, 3832, 3831, 4272, 4294, 3853, 3852, 4293
3490, 4274, 3833, 3832, 4273, 4295, 3854, 3853, 4294
3491, 4275, 3834, 3833, 4274, 4296, 3855, 3854, 4295
3492, 4276, 3835, 3834, 4275, 4297, 3856, 3855, 4296
3493, 4277, 3836, 3835, 4276, 4298, 3857, 3856, 4297
3494, 4278, 3837, 3836, 4277, 4299, 3858, 3857, 4298
3495, 4279, 3838, 3837, 4278, 4300, 3859, 3858, 4299
3496, 4280, 3839, 3838, 4279, 4301, 3860, 3859, 4300
3497, 4281, 3840, 3839, 4280, 4302, 3861, 3860, 4301
3498, 4282, 3841, 3840, 4281, 4303, 3862, 3861, 4302
3499, 4283, 3842, 3841, 4282, 4304, 3863, 3862, 4303
3500, 4284, 3843, 3842, 4283, 4305, 3864, 3863, 4304
3501, 4286, 3845, 3844, 4285, 4307, 3866, 3865, 4306
3502, 4287, 3846, 3845, 4286, 4308, 3867, 3866, 4307
3503, 4288, 3847, 3846, 4287, 4309, 3868, 3867, 4308
3504, 4289, 3848, 3847, 4288, 4310, 3869, 3868, 4309
3505, 4290, 3849, 3848, 4289, 4311, 3870, 3869, 4310
3506, 4291, 3850, 3849, 4290, 4312, 3871, 3870, 4311
3507, 4292, 3851, 3850, 4291, 4313, 3872, 3871, 4312
3508, 4293, 3852, 3851, 4292, 4314, 3873, 3872, 4313
3509, 4294, 3853, 3852, 4293, 4315, 3874, 3873, 4314
3510, 4295, 3854, 3853, 4294, 4316, 3875, 3874, 4315
3511, 4296, 3855, 3854, 4295, 4317, 3876, 3875, 4316
3512, 4297, 3856, 3855, 4296, 4318, 3877, 3876, 4317
3513, 4298, 3857, 3856, 4297, 4319, 3878, 3877, 4318
3514, 4299, 3858, 3857, 4298, 4320, 3879, 3878, 4319
3515, 4300, 3859, 3858, 4299, 4321, 3880, 3879, 4320
3516, 4301, 3860, 3859, 4300, 4322, 3881, 3880, 4321
3517, 4302, 3861, 3860, 4301, 4323, 3882, 3881, 4322
3518, 4303, 3862, 3861, 4302, 4324, 3883, 3882, 4323
3519, 4304, 3863, 3862, 4303, 4325, 3884, 3883, 4324
3520, 4305, 3864, 3863, 4304, 4326, 3885, 3884, 4325
3521, 4307, 3866, 3865, 4306, 4328, 3887, 3886, 4327
3522, 4308, 3867, 3866, 4307, 4329, 3888, 3887, 4328
3523, 4309, 3868, 3867, 4308, 4330, 3889, 3888, 4329
3524, 4310, 3869, 3868, 4309, 4331, 3890, 3889, 4330
3525, 4311, 3870, 3869, 4310, 4332, 3891, 3890, 4331
3526, 4312, 3871, 3870, 4311, 4333, 3892, 3891, 4332
3527, 4313, 3872, 3871, 4312, 4334, 3893, 3892, 4333
3528, 4314, 3873, 3872, 4313, 4335, 3894, 3893, 4334
3529, 4315, 3874, 3873, 4314, 4336, 3895, 3894, 4335
3530, 4316, 3875, 3874, 4315, 4337, 3896, 3895, 4336
3531, 4317, 3876, 3875, 4316, 4338, 3897, 3896, 4337
3532, 4318, 3877, 3876, 4317, 4339, 3898, 3897, 4338
3533, 4319, 3878, 3877, 4318, 4340, 3899, 3898, 4339
3534, 4320, 3879, 3878, 4319, 4341, 3900, 3899, 4340
3535, 4321, 3880, 3879, 4320, 4342, 3901, 3900, 4341
3536, 4322, 3881, 3880, 4321, 4343, 3902, 3901, 4342
3537, 4323, 3882, 3881, 4322, 4344, 3903, 3902, 4343
3538, 4324, 3883, 3882, 4323, 4345, 3904, 3903, 4344
3539, 4325, 3884, 3883, 4324, 4346, 3905, 3904, 4345
3540, 4326, 3885, 3884, 4325, 4347, 3906, 3905, 4346
3541, 4328, 3887, 3886, 4327, 4349, 3908, 3907, 4348
3542, 4329, 3888, 3887, 4328, 4350, 3909, 3908, 4349
3543, 4330, 3889, 3888, 4329, 4351, 3910, 3909, 4350
3544, 4331, 3890, 3889, 4330, 4352, 3911, 3910, 4351
3545, 4332, 3891, 3890, 4331, 4353, 3912, 3911, 4352
3546, 4333, 3892, 3891, 4332, 4354, 3913, 3912, 4353
3547, 4334, 3893, 3892, 4333, 4355, 3914, 3913, 4354
3548, 4335, 3894, 3893, 4334, 4356, 3915, 3914, 4355
3549, 4336, 3895, 3894, 4335, 4357, 3916, 3915, 4356
3550, 4337, 3896, 3895, 4336, 4358, 3917, 3916, 4357
3551, 4338, 3897, 3896, 4337, 4359, 3918, 3917, 4358
3552, 4339, 3898, 3897, 4338, 4360, 3919, 3918, 4359
3553, 4340, 3899, 3898, 4339, 4361, 3920, 3919, 4360
3554, 4341, 3900, 3899, 4340, 4362, 3921, 3920, 4361
3555, 4342, 3901, 3900, 4341, 4363, 3922, 3921, 4362
3556, 4343, 3902, 3901, 4342, 4364, 3923, 3922, 4363
3557, 4344, 3903, 3902, 4343, 4365, 3924, 3923, 4364
3558, 4345, 3904, 3903, 4344, 4366, 3925, 3924, 4365
3559, 4346, 3905, 3904, 4345, 4367, 3926, 3925, 4366
3560, 4347, 3906, 3905, 4346, 4368, 3927, 3926, 4367
3561, 4349, 3908, 3907, 4348, 4370, 3929, 3928, 4369
3562, 4350, 3909, 3908, 4349, 4371, 3930, 3929, 4370
3563, 4351, 3910, 3909, 4350, 4372, 3931, 3930, 4371
3564, 4352, 3911, 3910, 4351, 4373, 3932, 3931, 4372
3565, 4353, 3912, 3911, 4352, 4374, 3933, 3932, 4373
3566, 4354, 3913, 3912, 4353, 4375, 3934, 3933, 4374
3567, 4355, 3914, 3913, 4354, 4376, 3935, 3934, 4375
3568, 4356, 3915, 3914, 4355, 4377, 3936, 3935, 4376
3569, 4357, 3916, 3915, 4356, 4378, 3937, 3936, 4377
3570, 4358, 3917, 3916, 4357, 4379, 3938, 3937, 4378
3571, 4359, 3918, 3917, 4358, 4380, 3939, 3938, 4379
3572, 4360, 3919, 3918, 4359, 4381, 3940, 3939, 4380
3573, 4361, 3920, 3919, 4360, 4382, 3941, 3940, 4381
3574, 4362, 3921, 3920, 4361, 4383, 3942, 3941, 4382
3575, 4363, 3922, 3921, 4362, 4384, 3943, 3942, 4383
3576, 4364, 3923, 3922, 4363, 4385, 3944, 3943, 4384
3577, 4365, 3924, 3923, 4364, 4386, 3945, 3944, 4385
3578, 4366, 3925, 3924, 4365, 4387, 3946, 3945, 4386
3579, 4367, 3926, 3925, 4366, 4388, 3947, 3946, 4387
3580, 4368, 3927, 3926, 4367, 4389, 3948, 3947, 4388
3581, 4370, 3929, 3928, 4369, 4391, 3950, 3949, 4390
3582, 4371, 3930, 3929, 4370, 4392, 3951, 3950, 4391
3583, 4372, 3931, 3930, 4371, 4393, 3952, 3951, 4392
3584, 4373, 3932, 3931, 4372, 4394, 3953, 3952, 4393
3585, 4374, 3933, 3932, 4373, 4395, 3954, 3953, 4394
3586, 4375, 3934, 3933, 4374, 4396, 3955, 3954, 4395
3587, 4376, 3935, 3934, 4375, 4397, 3956, 3955, 4396
3588, 4377, 3936, 3935, 4376, 4398, 3957, 3956, 4397
3589, 4378, 3937, 3936, 4377, 4399, 3958, 3957, 4398
3590, 4379, 3938, 3937, 4378, 4400, 3959, 3958, 4399
3591, 4380, 3939, 3938, 4379, 4401, 3960, 3959, 4400
3592, 4381, 3940, 3939, 4380, 4402, 3961, 3960, 4401
3593, 4382, 3941, 3940, 4381, 4403, 3962, 3961, 4402
3594, 4383, 3942, 3941, 4382, 4404, 3963, 3962, 4403
3595, 4384, 3943, 3942, 4383, 4405, 3964, 3963, 4404
3596, 4385, 3944, 3943, 4384, 4406, 3965, 3964, 4405
3597, 4386, 3945, 3944, 4385, 4407, 3966, 3965, 4406
3598, 4387, 3946, 3945, 4386, 4408, 3967, 3966, 4407
3599, 4388, 3947, 3946, 4387, 4409, 3968, 3967, 4408
3600, 4389, 3948, 3947, 4388, 4410, 3969, 3968, 4409
3601, 4412, 3971, 3970, 4411, 4433, 3992, 3991, 4432
3602, 4413, 3972, 3971, 4412, 4434, 3993, 3992, 4433
3603, 4414, 3973, 3972, 4413, 4435, 3994, 3993, 4434
3604, 4415, 3974, 3973, 4414, 4436, 3995, 3994, 4435
3605, 4416, 3975, 3974, 4415, 4437, 3996, 3995, 4436
3606, 4417, 3976, 3975, 4416, 4438, 3997, 3996, 4437
3607, 4418, 3977, 3976, 4417, 4439, 3998, 3997, 4438
3608, 4419, 3978, 3977, 4418, 4440, 3999, 3998, 4439
3609, 4420, 3979, 3978, 4419, 4441, 4000, 3999, 4440
3610, 4421, 3980, 3979, 4420, 4442, 4001, 4000, 4441
3611, 4422, 3981, 3980, 4421, 4443, 4002, 4001, 4442
3612, 4423, 3982, 3981, 4422, 4444, 4003, 4002, 4443
3613, 4424, 3983, 3982, 4423, 4445, 4004, 4003, 4444
3614, 4425, 3984, 3983, 4424, 4446, 4005, 4004, 4445
3615, 4426, 3985, 3984, 4425, 4447, 4006, 4005, 4446
3616, 4427, 3986, 3985, 4426, 4448, 4007, 4006, 4447
3617, 4428, 3987, 3986, 4427, 4449, 4008, 4007, 4448
3618, 4429, 3988, 3987, 4428, 4450, 4009, 4008, 4449
3619, 4430, 3989, 3988, 4429, 4451, 4010, 4009, 4450
3620, 4431, 3990, 3989, 4430, 4452, 4011, 4010, 4451
3621, 4433, 3992, 3991, 4432, 4454, 4013, 4012, 4453
3622, 4434, 3993, 3992, 4433, 4455, 4014, 4013, 4454
3623, 4435, 3994, 3993, 4434, 4456, 4015, 4014, 4455
3624, 4436, 3995, 3994, 4435, 4457, 4016, 4015, 4456
3625, 4437, 3996, 3995, 4436, 4458, 4017, 4016, 4457
3626, 4438, 3997, 3996, 4437, 4459, 4018, 4017, 4458
3627, 4439, 3998, 3997, 4438, 4460, 4019, 4018, 4459
3628, 4440, 3999, 3998, 4439, 4461, 4020, 4019, 4460
3629, 4441, 4000, 3999, 4440, 4462, 4021, 4020, 4461
3630, 4442, 4001, 4000, 4441, 4463, 4022, 4021, 4462
3631, 4443, 4002, 4001, 4442, 4464, 4023, 4022, 4463
3632, 4444, 4003, 4002, 4443, 4465, 4024, 4023, 4464
3633, 4445, 4004, 4003, 4444, 4466, 4025, 4024, 4465
3634, 4446, 4005, 4004, 4445, 4467, 4026, 4025, 4466
3635, 4447, 4006, 4005, 4446, 4468, 4027, 4026, 4467
3636, 4448, 4007, 4006, 4447, 4469, 4028, 4027, 4468
3637, 4449, 4008, 4007, 4448, 4470, 4029, 4028, 4469
3638, 4450, 4009, 4008, 4449, 4471, 4030, 4029, 4470
3639, 4451, 4010, 4009, 4450, 4472, 4031, 4030, 4471
3640, 4452, 4011, 4010, 4451, 4473, 4032, 4031, 4472
3641, 4454, 4013, 4012, 4453, 4475, 4034, 4033, 4474
3642, 4455, 4014, 4013, 4454, 4476, 4035, 4034, 4475
3643, 4456, 4015, 4014, 4455, 4477, 4036, 4035, 4476
3644, 4457, 4016, 4015, 4456, 4478, 4037, 4036, 4477
3645, 4458, 4017, 4016, 4457, 4479, 4038, 4037, 4478
3646, 4459, 4018, 4017, 4458, 4480, 4039, 4038, 4479
3647, 4460, 4019, 4018, 4459, 4481, 4040, 4039, 4480
3648, 4461, 4020, 4019, 4460, 4482, 4041, 4040, 4481
3649, 4462, 4021, 4020, 4461, 4483, 4042, 4041, 4482
3650, 4463, 4022, 4021, 4462, 4484, 4043, 4042, 4483
3651, 4464, 4023, 4022, 4463, 4485, 4044, 4043, 4484
3652, 4465, 4024, 4023, 4464, 4486, 4045, 4044, 4485
3653, 4466, 4025, 4024, 4465, 4487, 4046, 4045, 4486
3654, 4467, 4026, 4025, 4466, 4488, 4047, 4046, 4487
3655, 4468, 4027, 4026, 4467, 4489, 4048, 4047, 4488
3656, 4469, 4028, 4027, 4468, 4490, 4049, 4048, 4489
3657, 4470, 4029, 4028, 4469, 4491, 4050, 4049, 4490
3658, 4471, 4030, 4029, 4470, 4492, 4051, 4050, 4491
3659, 4472, 4031, 4030, 4471, 4493, 4052, 4051, 4492
3660, 4473, 4032, 4031, 4472, 4494, 4053, 4052, 4493
3661, 4475, 4034, 4033, 4474, 4496, 4055, 4054, 4495
3662, 4476, 4035, 4034, 4475, 4497, 4056, 4055, 4496
3663, 4477, 4036, 4035, 4476, 4498, 4057, 4056, 4497
3664, 4478, 4037, 4036, 4477, 4499, 4058, 4057, 4498
3665, 4479, 4038, 4037, 4478, 4500, 4059, 4058, 4499
3666, 4480, 4039, 4038, 4479, 4501, 4060, 4059, 4500
3667, 4481, 4040, 4039, 4480, 4502, 4061, 4060, 4501
3668, 4482, 4041, 4040, 4481, 4503, 4062, 4061, 4502
3669, 4483, 4042, 4041, 4482, 4504, 4063, 4062, 4503
3670, 4484, 4043, 4042, 4483, 4505, 4064, 4063, 4504
3671, 4485, 4044, 4043, 4484, 4506, 4065, 4064, 4505
3672, 4486, 4045, 4044, 4485, 4507, 4066, 4065, 4506
3673, 4487, 4046, 4045, 4486, 4508, 4067, 4066, 4507
3674, 4488, 4047, 4046, 4487, 4509, 4068, 4067, 4508
3675, 4489, 4048, 4047, 4488, 4510, 4069, 4068, 4509
3676, 4490, 4049, 4048, 4489, 4511, 4070, 4069, 4510
3677, 4491, 4050, 4049, 4490, 4512, 4071, 4070, 4511
3678, 4492, 4051, 4050, 4491, 4513, 4072, 4071, 4512
3679, 4493, 4052, 4051, 4492, 4514, 4073, 4072, 4513
3680, 4494, 4053, 4052, 4493, 4515, 4074, 4073, 4514
3681, 4496, 4055, 4054, 4495, 4517, 4076, 4075, 4516
3682, 4497, 4056, 4055, 4496, 4518, 4077, 4076, 4517
3683, 4498, 4057, 4056, 4497, 4519, 4078, 4077, 4518
3684, 4499, 4058, 4057, 4498, 4520, 4079, 4078, 4519
3685, 4500, 4059, 4058, 4499, 4521, 4080, 4079, 4520
3686, 4501, 4060, 4059, 4500, 4522, 4081, 4080, 4521
3687, 4502, 4061, 4060, 4501, 4523, 4082, 4081, 4522
3688, 4503, 4062, 4061, 4502, 4524, 4083, 4082, 4523
3689, 4504, 4063, 4062, 4503, 4525, 4084, 4083, 4524
3690, 4505, 4064, 4063, 4504, 4526, 4085, 4084, 4525
3691, 4506, 4065, 4064, 4505, 4527, 4086, 4085, 4526
3692, 4507, 4066, 4065, 4506, 4528, 4087, 4086, 4527
3693, 4508, 4067, 4066, 4507, 4529, 4088, 4087, 4528
3694, 4509, 4068, 4067, 4508, 4530, 4089, 4088, 4529
3695, 4510, 4069, 4068, 4509, 4531, 4090, 4089, 4530
3696, 4511, 4070, 4069, 4510, 4532, 4091, 4090, 4531
3697, 4512, 4071, 4070, 4511, 4533, 4092, 4091, 4532
3698, 4513, 4072, 4071, 4512, 4534, 4093, 4092, 4533
3699, 4514, 4073, 4072, 4513, 4535, 4094, 4093, 4534
3700, 4515, 4074, 4073, 4514, 4536, 4095, 4094, 4535
3701, 4517, 4076, 4075, 4516, 4538, 4097, 4096, 4537
3702, 4518, 4077, 4076, 4517, 4539, 4098, 4097, 4538
3703, 4519, 4078, 4077, 4518, 4540, 4099, 4098, 4539
3704, 4520, 4079, 4078, 4519, 4541, 4100, 4099, 4540
3705, 4521, 4080, 4079, 4520, 4542, 4101, 4100, 4541
3706, 4522, 4081, 4080, 4521, 4543, 4102, 4101, 4542
3707, 4523, 4082, 4081, 4522, 4544, 4103, 4102, 4543
3708, 4524, 4083, 4082, 4523, 4545, 4104, 4103, 4544
3709, 4525, 4084, 4083, 4524, 4546, 4105, 4104, 4545
3710, 4526, 4085, 4084, 4525, 4547, 4106, 4105, 4546
3711, 4527, 4086, 4085, 4526, 4548, 4107, 4106, 4547
3712, 4528, 4087, 4086, 4527, 4549, 4108, 4107, 4548
3713, 4529, 4088, 4087, 4528, 4550, 4109, 4108, 4549
3714, 4530, 4089, 4088, 4529, 4551, 4110, 4109, 4550
3715, 4531, 4090, 4089, 4530, 4552, 4111, 4110, 4551
3716, 4532, 4091, 4090, 4531, 4553, 4112, 4111, 4552
3717, 4533, 4092, 4091, 4532, 4554, 4113, 4112, 4553
3718, 4534, 4093, 4092, 4533, 4555, 4114, 4113, 4554
3719, 4535, 4094, 4093, 4534, 4556, 4115, 4114, 4555
3720, 4536, 4095, 4094, 4535, 4557, 4116, 4115, 4556
3721, 4538, 4097, 4096, 4537, 4559, 4118, 4117, 4558
3722, 4539, 4098, 4097, 4538, 4560, 4119, 4118, 4559
3723, 4540, 4099, 4098, 4539, 4561, 4120, 4119, 4560
3724, 4541, 4100, 4099, 4540, 4562, 4121, 4120, 4561
3725, 4542, 4101, 4100, 4541, 4563, 4122, 4121, 4562
3726, 4543, 4102, 4101, 4542, 4564, 4123, 4122, 4563
3727, 4544, 4103, 4102, 4543, 4565, 4124, 4123, 4564
3728, 4545, 4104, 4103, 4544, 4566, 4125, 4124, 4565
3729, 4546, 4105, 4104, 4545, 4567, 4126, 4125, 4566
3730, 4547, 4106, 4105, 4546, 4568, 4127, 4126, 4567
3731, 4548, 4107, 4106, 4547, 4569, 4128, 4127, 4568
3732, 4549, 4108, 4107, 4548, 4570, 4129, 4128, 4569
3733, 4550, 4109, 4108, 4549, 4571, 4130, 4129, 4570
3734, 4551, 4110, 4109, 4550, 4572, 4131, 4130, 4571
3735, 4552, 4111, 4110, 4551, 4573, 4132, 4131, 4572
3736, 4553, 4112, 4111, 4552, 4574, 4133, 4132, 4573
3737, 4554, 4113, 4112, 4553, 4575, 4134, 4133, 4574
3738, 4555, 4114, 4113, 4554, 4576, 4135, 4134, 4575
3739, 4556, 4115, 4114, 4555, 4577, 4136, 4135, 4576
3740, 4557, 4116, 4115, 4556, 4578, 4137, 4136, 4577
3741, 4559, 4118, 4117, 4558, 4580, 4139, 4138, 4579
3742, 4560, 4119, 4118, 4559, 4581, 4140, 4139, 4580
3743, 4561, 4120, 4119, 4560, 4582, 4141, 4140, 4581
3744, 4562, 4121, 4120, 4561, 4583, 4142, 4141, 4582
3745, 4563, 4122, 4121, 4562, 4584, 4143, 4142, 4583
3746, 4564, 4123, 4122, 4563, 4585, 4144, 4143, 4584
3747, 4565, 4124, 4123, 4564, 4586, 4145, 4144, 4585
3748, 4566, 4125, 4124, 4565, 4587, 4146, 4145, 4586
3749, 4567, 4126, 4125, 4566, 4588, 4147, 4146, 4587
3750, 4568, 4127, 4126, 4567, 4589, 4148, 4147, 4588
3751, 4569, 4128, 4127, 4568, 4590, 4149, 4148, 4589
3752, 4570, 4129, 4128, 4569, 4591, 4150, 4149, 4590
3753, 4571, 4130, 4129, 4570, 4592, 4151, 4150, 4591
3754, 4572, 4131, 4130, 4571, 4593, 4152, 4151, 4592
3755, 4573, 4132, 4131, 4572, 4594, 4153, 4152, 4593
3756, 4574, 4133, 4132, 4573, 4595, 4154, 4153, 4594
3757, 4575, 4134, 4133, 4574, 4596, 4155, 4154, 4595
3758, 4576, 4135, 4134, 4575, 4597, 4156, 4155, 4596
3759, 4577, 4136, 4135, 4576, 4598, 4157, 4156, 4597
3760, 4578, 4137, 4136, 4577, 4599, 4158, 4157, 4598
3761, 4580, 4139, 4138, 4579, 4601, 4160, 4159, 4600
3762, 4581, 4140, 4139, 4580, 4602, 4161, 4160, 4601
3763, 4582, 4141, 4140, 4581, 4603, 4162, 4161, 4602
3764, 4583, 4142, 4141, 4582, 4604, 4163, 4162, 4603
3765, 4584, 4143, 4142, 4583, 4605, 4164, 4163, 4604
3766, 4585, 4144, 4143, 4584, 4606, 4165, 4164, 4605
3767, 4586, 4145, 4144, 4585, 4607, 4166, 4165, 4606
3768, 4587, 4146, 4145, 4586, 4608, 4167, 4166, 4607
3769, 4588, 4147, 4146, 4587, 4609, 4168, 4167, 4608
3770, 4589, 4148, 4147, 4588, 4610, 4169, 4168, 4609
3771, 4590, 4149, 4148, 4589, 4611, 4170, 4169, 4610
3772, 4591, 4150, 4149, 4590, 4612, 4171, 4170, 4611
3773, 4592, 4151, 4150, 4591, 4613, 4172, 4171, 4612
3774, 4593, 4152, 4151, 4592, 4614, 4173, 4172, 4613
3775, 4594, 4153, 4152, 4593, 4615, 4174, 4173, 4614
3776, 4595, 4154, 4153, 4594, 4616, 4175, 4174, 4615
3777, 4596, 4155, 4154, 4595, 4617, 4176, 4175, 4616
3778, 4597, 4156, 4155, 4596, 4618, 4177, 4176, 4617
3779, 4598, 4157, 4156, 4597, 4619, 4178, 4177, 4618
3780, 4599, 4158, 4157, 4598, 4620, 4179, 4178, 4619
3781, 4601, 4160, 4159, 4600, 4622, 4181, 4180, 4621
3782, 4602, 4161, 4160, 4601, 4623, 4182, 4181, 4622
3783, 4603, 4162, 4161, 4602, 4624, 4183, 4182, 4623
3784, 4604, 4163, 4162, 4603, 4625, 4184, 4183, 4624
3785, 4605, 4164, 4163, 4604, 4626, 4185, 4184, 4625
3786, 4606, 4165, 4164, 4605, 4627, 4186, 4185, 4626
3787, 4607, 4166, 4165, 4606, 4628, 4187, 4186, 4627
3788, 4608, 4167, 4166, 4607, 4629, 4188, 4187, 4628
3789, 4609, 4168, 4167, 4608, 4630, 4189, 4188, 4629
3790, 4610, 4169, 4168, 4609, 4631, 4190, 4189, 4630
3791, 4611, 4170, 4169, 4610, 4632, 4191, 4190, 4631
3792, 4612, 4171, 4170, 4611, 4633, 4192, 4191, 4632
3793, 4613, 4172, 4171, 4612, 4634, 4193, 4192, 4633
3794, 4614, 4173, 4172, 4613, 4635, 4194, 4193, 4634
3795, 4615, 4174, 4173, 4614, 4636, 4195, 4194, 4635
3796, 4616, 4175, 4174, 4615, 4637, 4196, 4195, 4636
3797, 4617, 4176, 4175, 4616, 4638, 4197, 4196, 4637
3798, 4618, 4177, 4176, 4617, 4639, 4198, 4197, 4638
3799, 4619, 4178, 4177, 4618, 4640, 4199, 4198, 4639
3800, 4620, 4179, 4178, 4619, 4641, 4200, 4199, 4640
3801, 4622, 4181, 4180, 4621, 4643, 4202, 4201, 4642
3802, 4623, 4182, 4181, 4622, 4644, 4203, 4202, 4643
3803, 4624, 4183, 4182, 4623, 4645, 4204, 4203, 4644
3804, 4625, 4184, 4183, 4624, 4646, 4205, 4204, 4645
3805, 4626, 4185, 4184, 4625, 4647, 4206, 4205, 4646
3806, 4627, 4186, 4185, 4626, 4648, 4207, 4206, 4647
3807, 4628, 4187, 4186, 4627, 4649, 4208, 4207, 4648
3808, 4629, 4188, 4187, 4628, 4650, 4209, 4208, 4649
3809, 4630, 4189, 4188, 4629, 4651, 4210, 4209, 4650
3810, 4631, 4190, 4189, 4630, 4652, 4211, 4210, 4651
3811, 4632, 4191, 4190, 4631, 4653, 4212, 4211, 4652
3812, 4633, 4192, 4191, 4632, 4654, 4213, 4212, 4653
3813, 4634, 4193, 4192, 4633, 4655, 4214, 4213, 4654
3814, 4635, 4194, 4193, 4634, 4656, 4215, 4214, 4655
3815, 4636, 4195, 4194, 4635, 4657, 4216, 4215, 4656
3816, 4637, 4196, 4195, 4636, 4658, 4217, 4216, 4657
3817, 4638, 4197, 4196, 4637, 4659, 4218, 4217, 4658
3818, 4639, 4198, 4197, 4638, 4660, 4219, 4218, 4659
3819, 4640, 4199, 4198, 4639, 4661, 4220, 4219, 4660
3820, 4641, 4200, 4199, 4640, 4662, 4221, 4220, 4661
3821, 4643, 4202, 4201, 4642, 4664, 4223, 4222, 4663
3822, 4644, 4203, 4202, 4643, 4665, 4224, 4223, 4664
3823, 4645, 4204, 4203, 4644, 4666, 4225, 4224, 4665
3824, 4646, 4205, 4204, 4645, 4667, 4226, 4225, 4666
3825, 4647, 4206, 4205, 4646, 4668, 4227, 4226, 4667
3826, 4648, 4207, 4206, 4647, 4669, 4228, 4227, 4668
3827, 4649, 4208, 4207, 4648, 4670, 4229, 4228, 4669
3828, 4650, 4209, 4208, 4649, 4671, 4230, 4229, 4670
3829, 4651, 4210, 4209, 4650, 4672, 4231, 4230, 4671
3830, 4652, 4211, 4210, 4651, 4673, 4232, 4231, 4672
3831, 4653, 4212, 4211, 4652, 4674, 4233, 4232, 4673
3832, 4654, 4213, 4212, 4653, 4675, 4234, 4233, 4674
3833, 4655, 4214, 4213, 4654, 4676, 4235, 4234, 4675
3834, 4656, 4215, 4214, 4655, 4677, 4236, 4235, 4676
3835, 4657, 4216, 4215, 4656, 4678, 4237, 4236, 4677
3836, 4658, 4217, 4216, 4657, 4679, 4238, 4237, 4678
3837, 4659, 4218, 4217, 4658, 4680, 4239, 4238, 4679
3838, 4660, 4219, 4218, 4659, 4681, 4240, 4239, 4680
3839, 4661, 4220, 4219, 4660, 4682, 4241, 4240, 4681
3840, 4662, 4221, 4220, 4661, 4683, 4242, 4241, 4682
3841, 4664, 4223, 4222, 4663, 4685, 4244, 4243, 4684
3842, 4665, 4224, 4223, 4664, 4686, 4245, 4244, 4685
3843, 4666, 4225, 4224, 4665, 4687, 4246, 4245, 4686
3844, 4667, 4226, 4225, 4666, 4688, 4247, 4246, 4687
3845, 4668, 4227, 4226, 4667, 4689, 4248, 4247, 4688
3846, 4669, 4228, 4227, 4668, 4690, 4249, 4248, 4689
3847, 4670, 4229, 4228, 4669, 4691, 4250, 4249, 4690
3848, 4671, 4230, 4229, 4670, 4692, 4251, 4250, 4691
3849, 4672, 4231, 4230, 4671, 4693, 4252, 4251, 4692
3850, 4673, 4232, 4231, 4672, 4694, 4253, 4252, 4693
3851, 4674, 4233, 4232, 4673, 4695, 4254, 4253, 4694
3852, 4675, 4234, 4233, 4674, 4696, 4255, 4254, 4695
3853, 4676, 4235, 4234, 4675, 4697, 4256, 4255, 4696
3854, 4677, 4236, 4235, 4676, 4698, 4257, 4256, 4697
3855, 4678, 4237, 4236, 4677, 4699, 4258, 4257, 4698
3856, 4679, 4238, 4237, 4678, 4700, 4259, 4258, 4699
3857, 4680, 4239, 4238, 4679, 4701, 4260, 4259, 4700
3858, 4681, 4240, 4239, 4680, 4702, 4261, 4260, 4701
3859, 4682, 4241, 4240, 4681, 4703, 4262, 4261, 4702
3860, 4683, 4242, 4241, 4682, 4704, 4263, 4262, 4703
3861, 4685, 4244, 4243, 4684, 4706, 4265, 4264, 4705
3862, 4686, 4245, 4244, 4685, 4707, 4266, 4265, 4706
3863, 4687, 4246, 4245, 4686, 4708, 4267, 4266, 4707
3864, 4688, 4247, 4246, 4687, 4709, 4268, 4267, 4708
3865, 4689, 4248, 4247, 4688, 4710, 4269, 4268, 4709
3866, 4690, 4249, 4248, 4689, 4711, 4270, 4269, 4710
3867, 4691, 4250, 4249, 4690, 4712, 4271, 4270, 4711
3868, 4692, 4251, 4250, 4691, 4713, 4272, 4271, 4712
3869, 4693, 4252, 4251, 4692, 4714, 4273, 4272, 4713
3870, 4694, 4253, 4252, 4693, 4715, 4274, 4273, 4714
3871, 4695, 4254, 4253, 4694, 4716, 4275, 4274, 4715
3872, 4696, 4255, 4254, 4695, 4717, 4276, 4275, 4716
3873, 4697, 4256, 4255, 4696, 4718, 4277, 4276, 4717
3874, 4698, 4257, 4256, 4697, 4719, 4278, 4277, 4718
3875, 4699, 4258, 4257, 4698, 4720, 4279, 4278, 4719
3876, 4700, 4259, 4258, 4699, 4721, 4280, 4279, 4720
3877, 4701, 4260, 4259, 4700, 4722, 4281, 4280, 4721
3878, 4702, 4261, 4260, 4701, 4723, 4282, 4281, 4722
3879, 4703, 4262, 4261, 4702, 4724, 4283, 4282, 4723
3880, 4704, 4263, 4262, 4703, 4725, 4284, 4283, 4724
3881, 4706, 4265, 4264, 4705, 4727, 4286, 4285, 4726
3882, 4707, 4266, 4265, 4706, 4728, 4287, 4286, 4727
3883, 4708, 4267, 4266, 4707, 4729, 4288, 4287, 4728
3884, 4709, 4268, 4267, 4708, 4730, 4289, 4288, 4729
3885, 4710, 4269, 4268, 4709, 4731, 4290, 4289, 4730
3886, 4711, 4270, 4269, 4710, 4732, 4291, 4290, 4731
3887, 4712, 4271, 4270, 4711, 4733, 4292, 4291, 4732
3888, 4713, 4272, 4271, 4712, 4734, 4293, 4292, 4733
3889, 4714, 4273, 4272, 4713, 4735, 4294, 4293, 4734
3890, 4715, 4274, 4273, 4714, 4736, 4295, 4294, 4735
3891, 4716, 4275, 4274, 4715, 4737, 4296, 4295, 4736
3892, 4717, 4276, 4275, 4716, 4738, 4297, 4296, 4737
3893, 4718, 4277, 4276, 4717, 4739, 4298, 4297, 4738
3894, 4719, 4278, 4277, 4718, 4740, 4299, 4298, 4739
3895, 4720, 4279, 4278, 4719, 4741, 4300, 4299, 4740
3896, 4721, 4280, 4279, 4720, 4742, 4301, 4300, 4741
3897, 4722, 4281, 4280, 4721, 4743, 4302, 4301, 4742
3898, 4723, 4282, 4281, 4722, 4744, 4303, 4302, 4743
3899, 4724, 4283, 4282, 4723, 4745, 4304, 4303, 4744
3900, 4725, 4284, 4283, 4724, 4746, 4305, 4304, 4745
3901, 4727, 4286, 4285, 4726, 4748, 4307, 4306, 4747
3902, 4728, 4287, 4286, 4727, 4749, 4308, 4307, 4748
3903, 4729, 4288, 4287, 4728, 4750, 4309, 4308, 4749
3904, 4730, 4289, 4288, 4729, 4751, 4310, 4309, 4750
3905, 4731, 4290, 4289, 4730, 4752, 4311, 4310, 4751
3906, 4732, 4291, 4290, 4731, 4753, 4312, 4311, 4752
3907, 4733, 4292, 4291, 4732, 4754, 4313, 4312, 4753
3908, 4734, 4293, 4292, 4733, 4755, 4314, 4313, 4754
3909, 4735, 4294, 4293, 4734, 4756, 4315, 4314, 4755
3910, 4736, 4295, 4294, 4735, 4757, 4316, 4315, 4756
3911, 4737, 4296, 4295, 4736, 4758, 4317, 4316, 4757
3912, 4738, 4297, 4296, 4737, 4759, 4318, 4317, 4758
3913, 4739, 4298, 4297, 4738, 4760, 4319, 4318, 4759
3914, 4740, 4299, 4298, 4739, 4761, 4320, 4319, 4760
3915, 4741, 4300, 4299, 4740, 4762, 4321, 4320, 4761
3916, 4742, 4301, 4300, 4741, 4763, 4322, 4321, 4762
3917, 4743, 4302, 4301, 4742, 4764, 4323, 4322, 4763
3918, 4744, 4303, 4302, 4743, 4765, 4324, 4323, 4764
3919, 4745, 4304, 4303, 4744, 4766, 4325, 4324, 4765
3920, 4746, 4305, 4304, 4745, 4767, 4326, 4325, 4766
3921, 4748, 4307, 4306, 4747, 4769, 4328, 4327, 4768
3922, 4749, 4308, 4307, 4748, 4770, 4329, 4328, 4769
3923, 4750, 4309, 4308, 4749, 4771, 4330, 4329, 4770
3924, 4751, 4310, 4309, 4750, 4772, 4331, 4330, 4771
3925, 4752, 4311, 4310, 4751, 4773, 4332, 4331, 4772
3926, 4753, 4312, 4311, 4752, 4774, 4333, 4332, 4773
3927, 4754, 4313, 4312, 4753, 4775, 4334, 4333, 4774
3928, 4755, 4314, 4313, 4754, 4776, 4335, 4334, 4775
3929, 4756, 4315, 4314, 4755, 4777, 4336, 4335, 4776
3930, 4757, 4316, 4315, 4756, 4778, 4337, 4336, 4777
3931, 4758, 4317, 4316, 4757, 4779, 4338, 4337, 4778
3932, 4759, 4318, 4317, 4758, 4780, 4339, 4338, 4779
3933, 4760, 4319, 4318, 4759, 4781, 4340, 4339, 4780
3934, 4761, 4320, 4319, 4760, 4782, 4341, 4340, 4781
3935, 4762, 4321, 4320, 4761, 4783, 4342, 4341, 4782
3936, 4763, 4322, 4321, 4762, 4784, 4343, 4342, 4783
3937, 4764, 4323, 4322, 4763, 4785, 4344, 4343, 4784
3938, 4765, 4324, 4323, 4764, 4786, 4345, 4344, 4785
3939, 4766, 4325, 4324, 4765, 4787, 4346, 4345, 4786
3940, 4767, 4326, 4325, 4766, 4788, 4347, 4346, 4787
3941, 4769, 4328, 4327, 4768, 4790, 4349, 4348, 4789
3942, 4770, 4329, 4328, 4769, 4791, 4350, 4349, 4790
3943, 4771, 4330, 4329, 4770, 4792, 4351, 4350, 4791
3944, 4772, 4331, 4330, 4771, 4793, 4352, 4351, 4792
3945, 4773, 4332, 4331, 4772, 4794, 4353, 4352, 4793
3946, 4774, 4333, 4332, 4773, 4795, 4354, 4353, 4794
3947, 4775, 4334, 4333, 4774, 4796, 4355, 4354, 4795
3948, 4776, 4335, 4334, 4775, 4797, 4356, 4355, 4796
3949, 4777, 4336, 4335, 4776, 4798, 4357, 4356, 4797
3950, 4778, 4337, 4336, 4777, 4799, 4358, 4357, 4798
3951, 4779, 4338, 4337, 4778, 4800, 4359, 4358, 4799
3952, 4780, 4339, 4338, 4779, 4801, 4360, 4359, 4800
3953, 4781, 4340, 4339, 4780, 4802, 4361, 4360, 4801
3954, 4782, 4341, 4340, 4781, 4803, 4362, 4361, 4802
3955, 4783, 4342, 4341, 4782, 4804, 4363, 4362, 4803
3956, 4784, 4343, 4342, 4783, 4805, 4364, 4363, 4804
3957, 4785, 4344, 4343, 4784, 4806, 4365, 4364, 4805
3958, 4786, 4345, 4344, 4785, 4807, 4366, 4365, 4806
3959, 4787, 4346, 4345, 4786, 4808, 4367, 4366, 4807
3960, 4788, 4347, 4346, 4787, 4809, 4368, 4367, 4808
3961, 4790, 4349, 4348, 4789, 4811, 4370, 4369, 4810
3962, 4791, 4350, 4349, 4790, 4812, 4371, 4370, 4811
3963, 4792, 4351, 4350, 4791, 4813, 4372, 4371, 4812
3964, 4793, 4352, 4351, 4792, 4814, 4373, 4372, 4813
3965, 4794, 4353, 4352, 4793, 4815, 4374, 4373, 4814
3966, 4795, 4354, 4353, 4794, 4816, 4375, 4374, 4815
3967, 4796, 4355, 4354, 4795, 4817, 4376, 4375, 4816
3968, 4797, 4356, 4355, 4796, 4818, 4377, 4376, 4817
3969, 4798, 4357, 4356, 4797, 4819, 4378, 4377, 4818
3970, 4799, 4358, 4357, 4798, 4820, 4379, 4378, 4819
3971, 4800, 4359, 4358, 4799, 4821, 4380, 4379, 4820
3972, 4801, 4360, 4359, 4800, 4822, 4381, 4380, 4821
3973, 4802, 4361, 4360, 4801, 4823, 4382, 4381, 4822
3974, 4803, 4362, 4361, 4802, 4824, 4383, 4382, 4823
3975, 4804, 4363, 4362, 4803, 4825, 4384, 4383, 4824
3976, 4805, 4364, 4363, 4804, 4826, 4385, 4384, 4825
3977, 4806, 4365, 4364, 4805, 4827, 4386, 4385, 4826
3978, 4807, 4366, 4365, 4806, 4828, 4387, 4386, 4827
3979, 4808, 4367, 4366, 4807, 4829, 4388, 4387, 4828
3980, 4809, 4368, 4367, 4808, 4830, 4389, 4388, 4829
3981, 4811, 4370, 4369, 4810, 4832, 4391, 4390, 4831
3982, 4812, 4371, 4370, 4811, 4833, 4392, 4391, 4832
3983, 4813, 4372, 4371, 4812, 4834, 4393, 4392, 4833
3984, 4814, 4373, 4372, 4813, 4835, 4394, 4393, 4834
3985, 4815, 4374, 4373, 4814, 4836, 4395, 4394, 4835
3986, 4816, 4375, 4374, 4815, 4837, 4396, 4395, 4836
3987, 4817, 4376, 4375, 4816, 4838, 4397, 4396, 4837
3988, 4818, 4377, 4376, 4817, 4839, 4398, 4397, 4838
3989, 4819, 4378, 4377, 4818, 4840, 4399, 4398, 4839
3990, 4820, 4379, 4378, 4819, 4841, 4400, 4399, 4840
3991, 4821, 4380, 4379, 4820, 4842, 4401, 4400, 4841
3992, 4822, 4381, 4380, 4821, 4843, 4402, 4401, 4842
3993, 4823, 4382, 4381, 4822, 4844, 4403, 4402, 4843
3994, 4824, 4383, 4382, 4823, 4845, 4404, 4403, 4844
3995, 4825, 4384, 4383, 4824, 4846, 4405, 4404, 4845
3996, 4826, 4385, 4384, 4825, 4847, 4406, 4405, 4846
3997, 4827, 4386, 4385, 4826, 4848, 4407, 4406, 4847
3998, 4828, 4387, 4386, 4827, 4849, 4408, 4407, 4848
3999, 4829, 4388, 4387, 4828, 4850, 4409, 4408, 4849
4000, 4830, 4389, 4388, 4829, 4851, 4410, 4409, 4850
4001, 4853, 4412, 4411, 4852, 4874, 4433, 4432, 4873
4002, 4854, 4413, 4412, 4853, 4875, 4434, 4433, 4874
4003, 4855, 4414, 4413, 4854, 4876, 4435, 4434, 4875
4004, 4856, 4415, 4414, 4855, 4877, 4436, 4435, 4876
4005, 4857, 4416, 4415, 4856, 4878, 4437, 4436, 4877
4006, 4858, 4417, 4416, 4857, 4879, 4438, 4437, 4878
4007, 4859, 4418, 4417, 4858, 4880, 4439, 4438, 4879
4008, 4860, 4419, 4418, 4859, 4881, 4440, 4439, 4880
4009, 4861, 4420, 4419, 4860, 4882, 4441, 4440, 4881
4010, 4862, 4421, 4420, 4861, 4883, 4442, 4441, 4882
4011, 4863, 4422, 4421, 4862, 4884, 4443, 4442, 4883
4012, 4864, 4423, 4422, 4863, 4885, 4444, 4443, 4884
4013, 4865, 4424, 4423, 4864, 4886, 4445, 4444, 4885
4014, 4866, 4425, 4424, 4865, 4887, 4446, 4445, 4886
4015, 4867, 4426, 4425, 4866, 4888, 4447, 4446, 4887
4016, 4868, 4427, 4426, 4867, 4889, 4448, 4447, 4888
4017, 4869, 4428, 4427, 4868, 4890, 4449, 4448, 4889
4018, 4870, 4429, 4428, 4869, 4891, 4450, 4449, 4890
4019, 4871, 4430, 4429, 4870, 4892, 4451, 4450, 4891
4020, 4872, 4431, 4430, 4871, 4893, 4452, 4451, 4892
4021, 4874, 4433, 4432, 4873, 4895, 4454, 4453, 4894
4022, 4875, 4434, 4433, 4874, 4896, 4455, 4454, 4895
4023, 4876, 4435, 4434, 4875, 4897, 4456, 4455, 4896
4024, 4877, 4436, 4435, 4876, 4898, 4457, 4456, 4897
4025, 4878, 4437, 4436, 4877, 4899, 4458, 4457, 4898
4026, 4879, 4438, 4437, 4878, 4900, 4459, 4458, 4899
4027, 4880, 4439, 4438, 4879, 4901, 4460, 4459, 4900
4028, 4881, 4440, 4439, 4880, 4902, 4461, 4460, 4901
4029, 4882, 4441, 4440, 4881, 4903, 4462, 4461, 4902
4030, 4883, 4442, 4441, 4882, 4904, 4463, 4462, 4903
4031, 4884, 4443, 4442, 4883, 4905, 4464, 4463, 4904
4032, 4885, 4444, 4443, 4884, 4906, 4465, 4464, 4905
4033, 4886, 4445, 4444, 4885, 4907, 4466, 4465, 4906
4034, 4887, 4446, 4445, 4886, 4908, 4467, 4466, 4907
4035, 4888, 4447, 4446, 4887, 4909, 4468, 4467, 4908
4036, 4889, 4448, 4447, 4888, 4910, 4469, 4468, 4909
4037, 4890, 4449, 4448, 4889, 4911, 4470, 4469, 4910
4038, 4891, 4450, 4449, 4890, 4912, 4471, 4470, 4911
4039, 4892, 4451, 4450, 4891, 4913, 4472, 4471, 4912
4040, 4893, 4452, 4451, 4892, 4914, 4473, 4472, 4913
4041, 4895, 4454, 4453, 4894, 4916, 4475, 4474, 4915
4042, 4896, 4455, 4454, 4895, 4917, 4476, 4475, 4916
4043, 4897, 4456, 4455, 4896, 4918, 4477, 4476, 4917
4044, 4898, 4457, 4456, 4897, 4919, 4478, 4477, 4918
4045, 4899, 4458, 4457, 4898, 4920, 4479, 4478, 4919
4046, 4900, 4459, 4458, 4899, 4921, 4480, 4479, 4920
4047, 4901, 4460, 4459, 4900, 4922, 4481, 4480, 4921
4048, 4902, 4461, 4460, 4901, 4923, 4482, 4481, 4922
4049, 4903, 4462, 4461, 4902, 4924, 4483, 4482, 4923
4050, 4904, 4463, 4462, 4903, 4925, 4484, 4483, 4924
4051, 4905, 4464, 4463, 4904, 4926, 4485, 4484, 4925
4052, 4906, 4465, 4464, 4905, 4927, 4486, 4485, 4926
4053, 4907, 4466, 4465, 4906, 4928, 4487, 4486, 4927
4054, 4908, 4467, 4466, 4907, 4929, 4488, 4487, 4928
4055, 4909, 4468, 4467, 4908, 4930, 4489, 4488, 4929
4056, 4910, 4469, 4468, 4909, 4931, 4490, 4489, 4930
4057, 4911, 4470, 4469, 4910, 4932, 4491, 4490, 4931
4058, 4912, 4471, 4470, 4911, 4933, 4492, 4491, 4932
4059, 4913, 4472, 4471, 4912, 4934, 4493, 4492, 4933
4060, 4914, 4473, 4472, 4913, 4935, 4494, 4493, 4934
4061, 4916, 4475, 4474, 4915, 4937, 4496, 4495, 4936
4062, 4917, 4476, 4475, 4916, 4938, 4497, 4496, 4937
4063, 4918, 4477, 4476, 4917, 4939, 4498, 4497, 4938
4064, 4919, 4478, 4477, 4918, 4940, 4499, 4498, 4939
4065, 4920, 4479, 4478, 4919, 4941, 4500, 4499, 4940
4066, 4921, 4480, 4479, 4920, 4942, 4501, 4500, 4941
4067, 4922, 4481, 4480, 4921, 4943, 4502, 4501, 4942
4068, 4923, 4482, 4481, 4922, 4944, 4503, 4502, 4943
4069, 4924, 4483, 4482, 4923, 4945, 4504, 4503, 4944
4070, 4925, 4484, 4483, 4924, 4946, 4505, 4504, 4945
4071, 4926, 4485, 4484, 4925, 4947, 4506, 4505, 4946
4072, 4927, 4486, 4485, 4926, 4948, 4507, 4506, 4947
4073, 4928, 4487, 4486, 4927, 4949, 4508, 4507, 4948
4074, 4929, 4488, 4487, 4928, 4950, 4509, 4508, 4949
4075, 4930, 4489, 4488, 4929, 4951, 4510, 4509, 4950
4076, 4931, 4490, 4489, 4930, 4952, 4511, 4510, 4951
4077, 4932, 4491, 4490, 4931, 4953, 4512, 4511, 4952
4078, 4933, 4492, 4491, 4932, 4954, 4513, 4512, 4953
4079, 4934, 4493, 4492, 4933, 4955, 4514, 4513, 4954
4080, 4935, 4494, 4493, 4934, 4956, 4515, 4514, 4955
4081, 4937, 4496, 4495, 4936, 4958, 4517, 4516, 4957
4082, 4938, 4497, 4496, 4937, 4959, 4518, 4517, 4958
4083, 4939, 4498, 4497, 4938, 4960, 4519, 4518, 4959
4084, 4940, 4499, 4498, 4939, 4961, 4520, 4519, 4960
4085, 4941, 4500, 4499, 4940, 4962, 4521, 4520, 4961
4086, 4942, 4501, 4500, 4941, 4963, 4522, 4521, 4962
4087, 4943, 4502, 4501, 4942, 4964, 4523, 4522, 4963
4088, 4944, 4503, 4502, 4943, 4965, 4524, 4523, 4964
4089, 4945, 4504, 4503, 4944, 4966, 4525, 4524, 4965
4090, 4946, 4505, 4504, 4945, 4967, 4526, 4525, 4966
4091, 4947, 4506, 4505, 4946, 4968, 4527, 4526, 4967
4092, 4948, 4507, 4506, 4947, 4969, 4528, 4527, 4968
4093, 4949, 4508, 4507, 4948, 4970, 4529, 4528, 4969
4094, 4950, 4509, 4508, 4949, 4971, 4530, 4529, 4970
4095, 4951, 4510, 4509, 4950, 4972, 4531, 4530, 4971
4096, 4952, 4511, 4510, 4951, 4973, 4532, 4531, 4972
4097, 4953, 4512, 4511, 4952, 4974, 4533, 4532, 4973
4098, 4954, 4513, 4512, 4953, 4975, 4534, 4533, 4974
4099, 4955, 4514, 4513, 4954, 4976, 4535, 4534, 4975
4100, 4956, 4515, 4514, 4955, 4977, 4536, 4535, 4976
4101, 4958, 4517, 4516, 4957, 4979, 4538, 4537, 4978
4102, 4959, 4518, 4517, 4958, 4980, 4539, 4538, 4979
4103, 4960, 4519, 4518, 4959, 4981, 4540, 4539, 4980
4104, 4961, 4520, 4519, 4960, 4982, 4541, 4540, 4981
4105, 4962, 4521, 4520, 4961, 4983, 4542, 4541, 4982
4106, 4963, 4522, 4521, 4962, 4984, 4543, 4542, 4983
4107, 4964, 4523, 4522, 4963, 4985, 4544, 4543, 4984
4108, 4965, 4524, 4523, 4964, 4986, 4545, 4544, 4985
4109, 4966, 4525, 4524, 4965, 4987, 4546, 4545, 4986
4110, 4967, 4526, 4525, 4966, 4988, 4547, 4546, 4987
4111, 4968, 4527, 4526, 4967, 4989, 4548, 4547, 4988
4112, 4969, 4528, 4527, 4968, 4990, 4549, 4548, 4989
4113, 4970, 4529, 4528, 4969, 4991, 4550, 4549, 4990
4114, 4971, 4530, 4529, 4970, 4992, 4551, 4550, 4991
4115, 4972, 4531, 4530, 4971, 4993, 4552, 4551, 4992
4116, 4973, 4532, 4531, 4972, 4994, 4553, 4552, 4993
4117, 4974, 4533, 4532, 4973, 4995, 4554, 4553, 4994
4118, 4975, 4534, 4533, 4974, 4996, 4555, 4554, 4995
4119, 4976, 4535, 4534, 4975, 4997, 4556, 4555, 4996
4120, 4977, 4536, 4535, 4976, 4998, 4557, 4556, 4997
4121, 4979, 4538, 4537, 4978, 5000, 4559, 4558, 4999
4122, 4980, 4539, 4538, 4979, 5001, 4560, 4559, 5000
4123, 4981, 4540, 4539, 4980, 5002, 4561, 4560, 5001
4124, 4982, 4541, 4540, 4981, 5003, 4562, 4561, 5002
4125, 4983, 4542, 4541, 4982, 5004, 4563, 4562, 5003
4126, 4984, 4543, 4542, 4983, 5005, 4564, 4563, 5004
4127, 4985, 4544, 4543, 4984, 5006, 4565, 4564, 5005
4128, 4986, 4545, 4544, 4985, 5007, 4566, 4565, 5006
4129, 4987, 4546, 4545, 4986, 5008, 4567, 4566, 5007
4130, 4988, 4547, 4546, 4987, 5009, 4568, 4567, 5008
4131, 4989, 4548, 4547, 4988, 5010, 4569, 4568, 5009
4132, 4990, 4549, 4548, 4989, 5011, 4570, 4569, 5010
4133, 4991, 4550, 4549, 4990, 5012, 4571, 4570, 5011
4134, 4992, 4551, 4550, 4991, 5013, 4572, 4571, 5012
4135, 4993, 4552, 4551, 4992, 5014, 4573, 4572, 5013
4136, 4994, 4553, 4552, 4993, 5015, 4574, 4573, 5014
4137, 4995, 4554, 4553, 4994, 5016, 4575, 4574, 5015
4138, 4996, 4555, 4554, 4995, 5017, 4576, 4575, 5016
4139, 4997, 4556, 4555, 4996, 5018, 4577, 4576, 5017
4140, 4998, 4557, 4556, 4997, 5019, 4578, 4577, 5018
4141, 5000, 4559, 4558, 4999, 5021, 4580, 4579, 5020
4142, 5001, 4560, 4559, 5000, 5022, 4581, 4580, 5021
4143, 5002, 4561, 4560, 5001, 5023, 4582, 4581, 5022
4144, 5003, 4562, 4561, 5002, 5024, 4583, 4582, 5023
4145, 5004, 4563, 4562, 5003, 5025, 4584, 4583, 5024
4146, 5005, 4564, 4563, 5004, 5026, 4585, 4584, 5025
4147, 5006, 4565, 4564, 5005, 5027, 4586, 4585, 5026
4148, 5007, 4566, 4565, 5006, 5028, 4587, 4586, 5027
4149, 5008, 4567, 4566, 5007, 5029, 4588, 4587, 5028
4150, 5009, 4568, 4567, 5008, 5030, 4589, 4588, 5029
4151, 5010, 4569, 4568, 5009, 5031, 4590, 4589, 5030
4152, 5011, 4570, 4569, 5010, 5032, 4591, 4590, 5031
4153, 5012, 4571, 4570, 5011, 5033, 4592, 4591, 5032
4154, 5013, 4572, 4571, 5012, 5034, 4593, 4592, 5033
4155, 5014, 4573, 4572, 5013, 5035, 4594, 4593, 5034
4156, 5015, 4574, 4573, 5014, 5036, 4595, 4594, 5035
4157, 5016, 4575, 4574, 5015, 5037, 4596, 4595, 5036
4158, 5017, 4576, 4575, 5016, 5038, 4597, 4596, 5037
4159, 5018, 4577, 4576, 5017, 5039, 4598, 4597, 5038
4160, 5019, 4578, 4577, 5018, 5040, 4599, 4598, 5039
4161, 5021, 4580, 4579, 5020, 5042, 4601, 4600, 5041
4162, 5022, 4581, 4580, 5021, 5043, 4602, 4601, 5042
4163, 5023, 4582, 4581, 5022, 5044, 4603, 4602, 5043
4164, 5024, 4583, 4582, 5023, 5045, 4604, 4603, 5044
4165, 5025, 4584, 4583, 5024, 5046, 4605, 4604, 5045
4166, 5026, 4585, 4584, 5025, 5047, 4606, 4605, 5046
4167, 5027, 4586, 4585, 5026, 5048, 4607, 4606, 5047
4168, 5028, 4587, 4586, 5027, 5049, 4608, 4607, 5048
4169, 5029, 4588, 4587, 5028, 5050, 4609, 4608, 5049
4170, 5030, 4589, 4588, 5029, 5051, 4610, 4609, 5050
4171, 5031, 4590, 4589, 5030, 5052, 4611, 4610, 5051
4172, 5032, 4591, 4590, 5031, 5053, 4612, 4611, 5052
4173, 5033, 4592, 4591, 5032, 5054, 4613, 4612, 5053
4174, 5034, 4593, 4592, 5033, 5055, 4614, 4613, 5054
4175, 5035, 4594, 4593, 5034, 5056, 4615, 4614, 5055
4176, 5036, 4595, 4594, 5035, 5057, 4616, 4615, 5056
4177, 5037, 4596, 4595, 5036, 5058, 4617, 4616, 5057
4178, 5038, 4597, 4596, 5037, 5059, 4618, 4617, 5058
4179, 5039, 4598, 4597, 5038, 5060, 4619, 4618, 5059
4180, 5040, 4599, 4598, 5039, 5061, 4620, 4619, 5060
4181, 5042, 4601, 4600, 5041, 5063, 4622, 4621, 5062
4182, 5043, 4602, 4601, 5042, 5064, 4623, 4622, 5063
4183, 5044, 4603, 4602, 5043, 5065, 4624, 4623, 5064
4184, 5045, 4604, 4603, 5044, 5066, 4625, 4624, 5065
4185, 5046, 4605, 4604, 5045, 5067, 4626, 4625, 5066
4186, 5047, 4606, 4605, 5046, 5068, 4627, 4626, 5067
4187, 5048, 4607, 4606, 5047, 5069, 4628, 4627, 5068
4188, 5049, 4608, 4607, 5048, 5070, 4629, 4628, 5069
4189, 5050, 4609, 4608, 5049, 5071, 4630, 4629, 5070
4190, 5051, 4610, 4609, 5050, 5072, 4631, 4630, 5071
4191, 5052, 4611, 4610, 5051, 5073, 4632, 4631, 5072
4192, 5053, 4612, 4611, 5052, 5074, 4633, 4632, 5073
4193, 5054, 4613, 4612, 5053, 5075, 4634, 4633, 5074
4194, 5055, 4614, 4613, 5054, 5076, 4635, 4634, 5075
4195, 5056, 4615, 4614, 5055, 5077, 4636, 4635, 5076
4196, 5057, 4616, 4615, 5056, 5078, 4637, 4636, 5077
4197, 5058, 4617, 4616, 5057, 5079, 4638, 4637, 5078
4198, 5059, 4618, 4617, 5058, 5080, 4639, 4638, 5079
4199, 5060, 4619, 4618, 5059, 5081, 4640, 4639, 5080
4200, 5061, 4620, 4619, 5060, 5082, 4641, 4640, 5081
4201, 5063, 4622, 4621, 5062, 5084, 4643, 4642, 5083
4202, 5064, 4623, 4622, 5063, 5085, 4644, 4643, 5084
4203, 5065, 4624, 4623, 5064, 5086, 4645, 4644, 5085
4204, 5066, 4625, 4624, 5065, 5087, 4646, 4645, 5086
4205, 5067, 4626, 4625, 5066, 5088, 4647, 4646, 5087
4206, 5068, 4627, 4626, 5067, 5089, 4648, 4647, 5088
4207, 5069, 4628, 4627, 5068, 5090, 4649, 4648, 5089
4208, 5070, 4629, 4628, 5069, 5091, 4650, 4649, 5090
4209, 5071, 4630, 4629, 5070, 5092, 4651, 4650, 5091
4210, 5072, 4631, 4630, 5071, 5093, 4652, 4651, 5092
4211, 5073, 4632, 4631, 5072, 5094, 4653, 4652, 5093
4212, 5074, 4633, 4632, 5073, 5095, 4654, 4653, 5094
4213, 5075, 4634, 4633, 5074, 5096, 4655, 4654, 5095
4214, 5076, 4635, 4634, 5075, 5097, 4656, 4655, 5096
4215, 5077, 4636, 4635, 5076, 5098, 4657, 4656, 5097
4216, 5078, 4637, 4636, 5077, 5099, 4658, 4657, 5098
4217, 5079, 4638, 4637, 5078, 5100, 4659, 4658, 5099
4218, 5080, 4639, 4638, 5079, 5101, 4660, 4659, 5100
4219, 5081, 4640, 4639, 5080, 5102, 4661, 4660, 5101
4220, 5082, 4641, 4640, 5081, 5103, 4662, 4661, 5102
4221, 5084, 4643, 4642, 5083, 5105, 4664, 4663, 5104
4222, 5085, 4644, 4643, 5084, 5106, 4665, 4664, 5105
4223, 5086, 4645, 4644, 5085, 5107, 4666, 4665, 5106
4224, 5087, 4646, 4645, 5086, 5108, 4667, 4666, 5107
4225, 5088, 4647, 4646, 5087, 5109, 4668, 4667, 5108
4226, 5089, 4648, 4647, 5088, 5110, 4669, 4668, 5109
4227, 5090, 4649, 4648, 5089, 5111, 4670, 4669, 5110
4228, 5091, 4650, 4649, 5090, 5112, 4671, 4670, 5111
4229, 5092, 4651, 4650, 5091, 5113, 4672, 4671, 5112
4230, 5093, 4652, 4651, 5092, 5114, 4673, 4672, 5113
4231, 5094, 4653, 4652, 5093, 5115, 4674, 4673, 5114
4232, 5095, 4654, 4653, 5094, 5116, 4675, 4674, 5115
4233, 5096, 4655, 4654, 5095, 5117, 4676, 4675, 5116
4234, 5097, 4656, 4655, 5096, 5118, 4677, 4676, 5117
4235, 5098, 4657, 4656, 5097, 5119, 4678, 4677, 5118
4236, 5099, 4658, 4657, 5098, 5120, 4679, 4678, 5119
4237, 5100, 4659, 4658, 5099, 5121, 4680, 4679, 5120
4238, 5101, 4660, 4659, 5100, 5122, 4681, 4680, 5121
4239, 5102, 4661, 4660, 5101, 5123, 4682, 4681, 5122
4240, 5103, 4662, 4661, 5102, 5124, 4683, 4682, 5123
4241, 5105, 4664, 4663, 5104, 5126, 4685, 4684, 5125
4242, 5106, 4665, 4664, 5105, 5127, 4686, 4685, 5126
4243, 5107, 4666, 4665, 5106, 5128, 4687, 4686, 5127
4244, 5108, 4667, 4666, 5107, 5129, 4688, 4687, 5128
4245, 5109, 4668, 4667, 5108, 5130, 4689, 4688, 5129
4246, 5110, 4669, 4668, 5109, 5131, 4690, 4689, 5130
4247, 5111, 4670, 4669, 5110, 5132, 4691, 4690, 5131
4248, 5112, 4671, 4670, 5111, 5133, 4692, 4691, 5132
4249, 5113, 4672, 4671, 5112, 5134, 4693, 4692, 5133
4250, 5114, 4673, 4672, 5113, 5135, 4694, 4693, 5134
4251, 5115, 4674, 4673, 5114, 5136, 4695, 4694, 5135
4252, 5116, 4675, 4674, 5115, 5137, 4696, 4695, 5136
4253, 5117, 4676, 4675, 5116, 5138, 4697, 4696, 5137
4254, 5118, 4677, 4676, 5117, 5139, 4698, 4697, 5138
4255, 5119, 4678, 4677, 5118, 5140, 4699, 4698, 5139
4256, 5120, 4679, 4678, 5119, 5141, 4700, 4699, 5140
4257, 5121, 4680, 4679, 5120, 5142, 4701, 4700, 5141
4258, 5122, 4681, 4680, 5121, 5143, 4702, 4701, 5142
4259, 5123, 4682, 4681, 5122, 5144, 4703, 4702, 5143
4260, 5124, 4683, 4682, 5123, 5145, 4704, 4703, 5144
4261, 5126, 4685, 4684, 5125, 5147, 4706, 4705, 5146
4262, 5127, 4686, 4685, 5126, 5148, 4707, 4706, 5147
4263, 5128, 4687, 4686, 5127, 5149, 4708, 4707, 5148
4264, 5129, 4688, 4687, 5128, 5150, 4709, 4708, 5149
4265, 5130, 4689, 4688, 5129, 5151, 4710, 4709, 5150
4266, 5131, 4690, 4689, 5130, 5152, 4711, 4710, 5151
4267, 5132, 4691, 4690, 5131, 5153, 4712, 4711, 5152
4268, 5133, 4692, 4691, 5132, 5154, 4713, 4712, 5153
4269, 5134, 4693, 4692, 5133, 5155, 4714, 4713, 5154
4270, 5135, 4694, 4693, 5134, 5156, 4715, 4714, 5155
4271, 5136, 4695, 4694, 5135, 5157, 4716, 4715, 5156
4272, 5137, 4696, 4695, 5136, 5158, 4717, 4716, 5157
4273, 5138, 4697, 4696, 5137, 5159, 4718, 4717, 5158
4274, 5139, 4698, 4697, 5138, 5160, 4719, 4718, 5159
4275, 5140, 4699, 4698, 5139, 5161, 4720, 4719, 5160
4276, 5141, 4700, 4699, 5140, 5162, 4721, 4720, 5161
4277, 5142, 4701, 4700, 5141, 5163, 4722, 4721, 5162
4278, 5143, 4702, 4701, 5142, 5164, 4723, 4722, 5163
4279, 5144, 4703, 4702, 5143, 5165, 4724, 4723, 5164
4280, 5145, 4704, 4703, 5144, 5166, 4725, 4724, 5165
4281, 5147, 4706, 4705, 5146, 5168, 4727, 4726, 5167
4282, 5148, 4707, 4706, 5147, 5169, 4728, 4727, 5168
4283, 5149, 4708, 4707, 5148, 5170, 4729, 4728, 5169
4284, 5150, 4709, 4708, 5149, 5171, 4730, 4729, 5170
4285, 5151, 4710, 4709, 5150, 5172, 4731, 4730, 5171
4286, 5152, 4711, 4710, 5151, 5173, 4732, 4731, 5172
4287, 5153, 4712, 4711, 5152, 5174, 4733, 4732, 5173
4288, 5154, 4713, 4712, 5153, 5175, 4734, 4733, 5174
4289, 5155, 4714, 4713, 5154, 5176, 4735, 4734, 5175
4290, 5156, 4715, 4714, 5155, 5177, 4736, 4735, 5176
4291, 5157, 4716, 4715, 5156, 5178, 4737, 4736, 5177
4292, 5158, 4717, 4716, 5157, 5179, 4738, 4737, 5178
4293, 5159, 4718, 4717, 5158, 5180, 4739, 4738, 5179
4294, 5160, 4719, 4718, 5159, 5181, 4740, 4739, 5180
4295, 5161, 4720, 4719, 5160, 5182, 4741, 4740, 5181
4296, 5162, 4721, 4720, 5161, 5183, 4742, 4741, 5182
4297, 5163, 4722, 4721, 5162, 5184, 4743, 4742, 5183
4298, 5164, 4723, 4722, 5163, 5185, 4744, 4743, 5184
4299, 5165, 4724, 4723, 5164, 5186, 4745, 4744, 5185
4300, 5166, 4725, 4724, 5165, 5187, 4746, 4745, 5186
4301, 5168, 4727, 4726, 5167, 5189, 4748, 4747, 5188
4302, 5169, 4728, 4727, 5168, 5190, 4749, 4748, 5189
4303, 5170, 4729, 4728, 5169, 5191, 4750, 4749, 5190
4304, 5171, 4730, 4729, 5170, 5192, 4751, 4750, 5191
4305, 5172, 4731, 4730, 5171, 5193, 4752, 4751, 5192
4306, 5173, 4732, 4731, 5172, 5194, 4753, 4752, 5193
4307, 5174, 4733, 4732, 5173, 5195, 4754, 4753, 5194
4308, 5175, 4734, 4733, 5174, 5196, 4755, 4754, 5195
4309, 5176, 4735, 4734, 5175, 5197, 4756, 4755, 5196
4310, 5177, 4736, 4735, 5176, 5198, 4757, 4756, 5197
4311, 5178, 4737, 4736, 5177, 5199, 4758, 4757, 5198
4312, 5179, 4738, 4737, 5178, 5200, 4759, 4758, 5199
4313, 5180, 4739, 4738, 5179, 5201, 4760, 4759, 5200
4314, 5181, 4740, 4739, 5180, 5202, 4761, 4760, 5201
4315, 5182, 4741, 4740, 5181, 5203, 4762, 4761, 5202
4316, 5183, 4742, 4741, 5182, 5204, 4763, 4762, 5203
4317, 5184, 4743, 4742, 5183, 5205, 4764, 4763, 5204
4318, 5185, 4744, 4743, 5184, 5206, 4765, 4764, 5205
4319, 5186, 4745, 4744, 5185, 5207, 4766, 4765, 5206
4320, 5187, 4746, 4745, 5186, 5208, 4767, 4766, 5207
4321, 5189, 4748, 4747, 5188, 5210, 4769, 4768, 5209
4322, 5190, 4749, 4748, 5189, 5211, 4770, 4769, 5210
4323, 5191, 4750, 4749, 5190, 5212, 4771, 4770, 5211
4324, 5192, 4751, 4750, 5191, 5213, 4772, 4771, 5212
4325, 5193, 4752, 4751, 5192, 5214, 4773, 4772, 5213
4326, 5194, 4753, 4752, 5193, 5215, 4774, 4773, 5214
4327, 5195, 4754, 4753, 5194, 5216, 4775, 4774, 5215
4328, 5196, 4755, 4754, 5195, 5217, 4776, 4775, 5216
4329, 5197, 4756, 4755, 5196, 5218, 4777, 4776, 5217
4330, 5198, 4757, 4756, 5197, 5219, 4778, 4777, 5218
4331, 5199, 4758, 4757, 5198, 5220, 4779, 4778, 5219
4332, 5200, 4759, 4758, 5199, 5221, 4780, 4779, 5220
4333, 5201, 4760, 4759, 5200, 5222, 4781, 4780, 5221
4334, 5202, 4761, 4760, 5201, 5223, 4782, 4781, 5222
4335, 5203, 4762, 4761, 5202, 5224, 4783, 4782, 5223
4336, 5204, 4763, 4762, 5203, 5225, 4784, 4783, 5224
4337, 5205, 4764, 4763, 5204, 5226, 4785, 4784, 5225
4338, 5206, 4765, 4764, 5205, 5227, 4786, 4785, 5226
4339, 5207, 4766, 4765, 5206, 5228, 4787, 4786, 5227
4340, 5208, 4767, 4766, 5207, 5229, 4788, 4787, 5228
4341, 5210, 4769, 4768, 5209, 5231, 4790, 4789, 5230
4342, 5211, 4770, 4769, 5210, 5232, 4791, 4790, 5231
4343, 5212, 4771, 4770, 5211, 5233, 4792, 4791, 5232
4344, 5213, 4772, 4771, 5212, 5234, 4793, 4792, 5233
4345, 5214, 4773, 4772, 5213, 5235, 4794, 4793, 5234
4346, 5215, 4774, 4773, 5214, 5236, 4795, 4794, 5235
4347, 5216, 4775, 4774, 5215, 5237, 4796, 4795, 5236
4348, 5217, 4776, 4775, 5216, 5238, 4797, 4796, 5237
4349, 5218, 4777, 4776, 5217, 5239, 4798, 4797, 5238
4350, 5219, 4778, 4777, 5218, 5240, 4799, 4798, 5239
4351, 5220, 4779, 4778, 5219, 5241, 4800, 4799, 5240
4352, 5221, 4780, 4779, 5220, 5242, 4801, 4800, 5241
4353, 5222, 4781, 4780, 5221, 5243, 4802, 4801, 5242
4354, 5223, 4782, 4781, 5222, 5244, 4803, 4802, 5243
4355, 5224, 4783, 4782, 5223, 5245, 4804, 4803, 5244
4356, 5225, 4784, 4783, 5224, 5246, 4805, 4804, 5245
4357, 5226, 4785, 4784, 5225, 5247, 4806, 4805, 5246
4358, 5227, 4786, 4785, 5226, 5248, 4807, 4806, 5247
4359, 5228, 4787, 4786, 5227, 5249, 4808, 4807, 5248
4360, 5229, 4788, 4787, 5228, 5250, 4809, 4808, 5249
4361, 5231, 4790, 4789, 5230, 5252, 4811, 4810, 5251
4362, 5232, 4791, 4790, 5231, 5253, 4812, 4811, 5252
4363, 5233, 4792, 4791, 5232, 5254, 4813, 4812, 5253
4364, 5234, 4793, 4792, 5233, 5255, 4814, 4813, 5254
4365, 5235, 4794, 4793, 5234, 5256, 4815, 4814, 5255
4366, 5236, 4795, 4794, 5235, 5257, 4816, 4815, 5256
4367, 5237, 4796, 4795, 5236, 5258, 4817, 4816, 5257
4368, 5238, 4797, 4796, 5237, 5259, 4818, 4817, 5258
4369, 5239, 4798, 4797, 5238, 5260, 4819, 4818, 5259
4370, 5240, 4799, 4798, 5239, 5261, 4820, 4819, 5260
4371, 5241, 4800, 4799, 5240, 5262, 4821, 4820, 5261
4372, 5242, 4801, 4800, 5241, 5263, 4822, 4821, 5262
4373, 5243, 4802, 4801, 5242, 5264, 4823, 4822, 5263
4374, 5244, 4803, 4802, 5243, 5265, 4824, 4823, 5264
4375, 5245, 4804, 4803, 5244, 5266, 4825, 4824, 5265
4376, 5246, 4805, 4804, 5245, 5267, 4826, 4825, 5266
4377, 5247, 4806, 4805, 5246, 5268, 4827, 4826, 5267
4378, 5248, 4807, 4806, 5247, 5269, 4828, 4827, 5268
4379, 5249, 4808, 4807, 5248, 5270, 4829, 4828, 5269
4380, 5250, 4809, 4808, 5249, 5271, 4830, 4829, 5270
4381, 5252, 4811, 4810, 5251, 5273, 4832, 4831, 5272
4382, 5253, 4812, 4811, 5252, 5274, 4833, 4832, 5273
4383, 5254, 4813, 4812, 5253, 5275, 4834, 4833, 5274
4384, 5255, 4814, 4813, 5254, 5276, 4835, 4834, 5275
4385, 5256, 4815, 4814, 5255, 5277, 4836, 4835, 5276
4386, 5257, 4816, 4815, 5256, 5278, 4837, 4836, 5277
4387, 5258, 4817, 4816, 5257, 5279, 4838, 4837, 5278
4388, 5259, 4818, 4817, 5258, 5280, 4839, 4838, 5279
4389, 5260, 4819, 4818, 5259, 5281, 4840, 4839, 5280
4390, 5261, 4820, 4819, 5260, 5282, 4841, 4840, 5281
4391, 5262, 4821, 4820, 5261, 5283, 4842, 4841, 5282
4392, 5263, 4822, 4821, 5262, 5284, 4843, 4842, 5283
4393, 5264, 4823, 4822, 5263, 5285, 4844, 4843, 5284
4394, 5265, 4824, 4823, 5264, 5286, 4845, 4844, 5285
4395, 5266, 4825, 4824, 5265, 5287, 4846, 4845, 5286
4396, 5267, 4826, 4825, 5266, 5288, 4847, 4846, 5287
4397, 5268, 4827, 4826, 5267, 5289, 4848, 4847, 5288
4398, 5269, 4828, 4827, 5268, 5290, 4849, 4848, 5289
4399, 5270, 4829, 4828, 5269, 5291, 4850, 4849, 5290
4400, 5271, 4830, 4829, 5270, 5292, 4851, 4850, 5291
4401, 5294, 4853, 4852, 5293, 5315, 4874, 4873, 5314
4402, 5295, 4854, 4853, 5294, 5316, 4875, 4874, 5315
4403, 5296, 4855, 4854, 5295, 5317, 4876, 4875, 5316
4404, 5297, 4856, 4855, 5296, 5318, 4877, 4876, 5317
4405, 5298, 4857, 4856, 5297, 5319, 4878, 4877, 5318
4406, 5299, 4858, 4857, 5298, 5320, 4879, 4878, 5319
4407, 5300, 4859, 4858, 5299, 5321, 4880, 4879, 5320
4408, 5301, 4860, 4859, 5300, 5322, 4881, 4880, 5321
4409, 5302, 4861, 4860, 5301, 5323, 4882, 4881, 5322
4410, 5303, 4862, 4861, 5302, 5324, 4883, 4882, 5323
4411, 5304, 4863, 4862, 5303, 5325, 4884, 4883, 5324
4412, 5305, 4864, 4863, 5304, 5326, 4885, 4884, 5325
4413, 5306, 4865, 4864, 5305, 5327, 4886, 4885, 5326
4414, 5307, 4866, 4865, 5306, 5328, 4887, 4886, 5327
4415, 5308, 4867, 4866, 5307, 5329, 4888, 4887, 5328
4416, 5309, 4868, 4867, 5308, 5330, 4889, 4888, 5329
4417, 5310, 4869, 4868, 5309, 5331, 4890, 4889, 5330
4418, 5311, 4870, 4869, 5310, 5332, 4891, 4890, 5331
4419, 5312, 4871, 4870, 5311, 5333, 4892, 4891, 5332
4420, 5313, 4872, 4871, 5312, 5334, 4893, 4892, 5333
4421, 5315, 4874, 4873, 5314, 5336, 4895, 4894, 5335
4422, 5316, 4875, 4874, 5315, 5337, 4896, 4895, 5336
4423, 5317, 4876, 4875, 5316, 5338, 4897, 4896, 5337
4424, 5318, 4877, 4876, 5317, 5339, 4898, 4897, 5338
4425, 5319, 4878, 4877, 5318, 5340, 4899, 4898, 5339
4426, 5320, 4879, 4878, 5319, 5341, 4900, 4899, 5340
4427, 5321, 4880, 4879, 5320, 5342, 4901, 4900, 5341
4428, 5322, 4881, 4880, 5321, 5343, 4902, 4901, 5342
4429, 5323, 4882, 4881, 5322, 5344, 4903, 4902, 5343
4430, 5324, 4883, 4882, 5323, 5345, 4904, 4903, 5344
4431, 5325, 4884, 4883, 5324, 5346, 4905, 4904, 5345
4432, 5326, 4885, 4884, 5325, 5347, 4906, 4905, 5346
4433, 5327, 4886, 4885, 5326, 5348, 4907, 4906, 5347
4434, 5328, 4887, 4886, 5327, 5349, 4908, 4907, 5348
4435, 5329, 4888, 4887, 5328, 5350, 4909, 4908, 5349
4436, 5330, 4889, 4888, 5329, 5351, 4910, 4909, 5350
4437, 5331, 4890, 4889, 5330, 5352, 4911, 4910, 5351
4438, 5332, 4891, 4890, 5331, 5353, 4912, 4911, 5352
4439, 5333, 4892, 4891, 5332, 5354, 4913, 4912, 5353
4440, 5334, 4893, 4892, 5333, 5355, 4914, 4913, 5354
4441, 5336, 4895, 4894, 5335, 5357, 4916, 4915, 5356
4442, 5337, 4896, 4895, 5336, 5358, 4917, 4916, 5357
4443, 5338, 4897, 4896, 5337, 5359, 4918, 4917, 5358
4444, 5339, 4898, 4897, 5338, 5360, 4919, 4918, 5359
4445, 5340, 4899, 4898, 5339, 5361, 4920, 4919, 5360
4446, 5341, 4900, 4899, 5340, 5362, 4921, 4920, 5361
4447, 5342, 4901, 4900, 5341, 5363, 4922, 4921, 5362
4448, 5343, 4902, 4901, 5342, 5364, 4923, 4922, 5363
4449, 5344, 4903, 4902, 5343, 5365, 4924, 4923, 5364
4450, 5345, 4904, 4903, 5344, 5366, 4925, 4924, 5365
4451, 5346, 4905, 4904, 5345, 5367, 4926, 4925, 5366
4452, 5347, 4906, 4905, 5346, 5368, 4927, 4926, 5367
4453, 5348, 4907, 4906, 5347, 5369, 4928, 4927, 5368
4454, 5349, 4908, 4907, 5348, 5370, 4929, 4928, 5369
4455, 5350, 4909, 4908, 5349, 5371, 4930, 4929, 5370
4456, 5351, 4910, 4909, 5350, 5372, 4931, 4930, 5371
4457, 5352, 4911, 4910, 5351, 5373, 4932, 4931, 5372
4458, 5353, 4912, 4911, 5352, 5374, 4933, 4932, 5373
4459, 5354, 4913, 4912, 5353, 5375, 4934, 4933, 5374
4460, 5355, 4914, 4913, 5354, 5376, 4935, 4934, 5375
4461, 5357, 4916, 4915, 5356, 5378, 4937, 4936, 5377
4462, 5358, 4917, 4916, 5357, 5379, 4938, 4937, 5378
4463, 5359, 4918, 4917, 5358, 5380, 4939, 4938, 5379
4464, 5360, 4919, 4918, 5359, 5381, 4940, 4939, 5380
4465, 5361, 4920, 4919, 5360, 5382, 4941, 4940, 5381
4466, 5362, 4921, 4920, 5361, 5383, 4942, 4941, 5382
4467, 5363, 4922, 4921, 5362, 5384, 4943, 4942, 5383
4468, 5364, 4923, 4922, 5363, 5385, 4944, 4943, 5384
4469, 5365, 4924, 4923, 5364, 5386, 4945, 4944, 5385
4470, 5366, 4925, 4924, 5365, 5387, 4946, 4945, 5386
4471, 5367, 4926, 4925, 5366, 5388, 4947, 4946, 5387
4472, 5368, 4927, 4926, 5367, 5389, 4948, 4947, 5388
4473, 5369, 4928, 4927, 5368, 5390, 4949, 4948, 5389
4474, 5370, 4929, 4928, 5369, 5391, 4950, 4949, 5390
4475, 5371, 4930, 4929, 5370, 5392, 4951, 4950, 5391
4476, 5372, 4931, 4930, 5371, 5393, 4952, 4951, 5392
4477, 5373, 4932, 4931, 5372, 5394, 4953, 4952, 5393
4478, 5374, 4933, 4932, 5373, 5395, 4954, 4953, 5394
4479, 5375, 4934, 4933, 5374, 5396, 4955, 4954, 5395
4480, 5376, 4935, 4934, 5375, 5397, 4956, 4955, 5396
4481, 5378, 4937, 4936, 5377, 5399, 4958, 4957, 5398
4482, 5379, 4938, 4937, 5378, 5400, 4959, 4958, 5399
4483, 5380, 4939, 4938, 5379, 5401, 4960, 4959, 5400
4484, 5381, 4940, 4939, 5380, 5402, 4961, 4960, 5401
4485, 5382, 4941, 4940, 5381, 5403, 4962, 4961, 5402
4486, 5383, 4942, 4941, 5382, 5404, 4963, 4962, 5403
4487, 5384, 4943, 4942, 5383, 5405, 4964, 4963, 5404
4488, 5385, 4944, 4943, 5384, 5406, 4965, 4964, 5405
4489, 5386, 4945, 4944, 5385, 5407, 4966, 4965, 5406
4490, 5387, 4946, 4945, 5386, 5408, 4967, 4966, 5407
4491, 5388, 4947, 4946, 5387, 5409, 4968, 4967, 5408
4492, 5389, 4948, 4947, 5388, 5410, 4969, 4968, 5409
4493, 5390, 4949, 4948, 5389, 5411, 4970, 4969, 5410
4494, 5391, 4950, 4949, 5390, 5412, 4971, 4970, 5411
4495, 5392, 4951, 4950, 5391, 5413, 4972, 4971, 5412
4496, 5393, 4952, 4951, 5392, 5414, 4973, 4972, 5413
4497, 5394, 4953, 4952, 5393, 5415, 4974, 4973, 5414
4498, 5395, 4954, 4953, 5394, 5416, 4975, 4974, 5415
4499, 5396, 4955, 4954, 5395, 5417, 4976, 4975, 5416
4500, 5397, 4956, 4955, 5396, 5418, 4977, 4976, 5417
4501, 5399, 4958, 4957, 5398, 5420, 4979, 4978, 5419
4502, 5400, 4959, 4958, 5399, 5421, 4980, 4979, 5420
4503, 5401, 4960, 4959, 5400, 5422, 4981, 4980, 5421
4504, 5402, 4961, 4960, 5401, 5423, 4982, 4981, 5422
4505, 5403, 4962, 4961, 5402, 5424, 4983, 4982, 5423
4506, 5404, 4963, 4962, 5403, 5425, 4984, 4983, 5424
4507, 5405, 4964, 4963, 5404, 5426, 4985, 4984, 5425
4508, 5406, 4965, 4964, 5405, 5427, 4986, 4985, 5426
4509, 5407, 4966, 4965, 5406, 5428, 4987, 4986, 5427
4510, 5408, 4967, 4966, 5407, 5429, 4988, 4987, 5428
4511, 5409, 4968, 4967, 5408, 5430, 4989, 4988, 5429
4512, 5410, 4969, 4968, 5409, 5431, 4990, 4989, 5430
4513, 5411, 4970, 4969, 5410, 5432, 4991, 4990, 5431
4514, 5412, 4971, 4970, 5411, 5433, 4992, 4991, 5432
4515, 5413, 4972, 4971, 5412, 5434, 4993, 4992, 5433
4516, 5414, 4973, 4972, 5413, 5435, 4994, 4993, 5434
4517, 5415, 4974, 4973, 5414, 5436, 4995, 4994, 5435
4518, 5416, 4975, 4974, 5415, 5437, 4996, 4995, 5436
4519, 5417, 4976, 4975, 5416, 5438, 4997, 4996, 5437
4520, 5418, 4977, 4976, 5417, 5439, 4998, 4997, 5438
4521, 5420, 4979, 4978, 5419, 5441, 5000, 4999, 5440
4522, 5421, 4980, 4979, 5420, 5442, 5001, 5000, 5441
4523, 5422, 4981, 4980, 5421, 5443, 5002, 5001, 5442
4524, 5423, 4982, 4981, 5422, 5444, 5003, 5002, 5443
4525, 5424, 4983, 4982, 5423, 5445, 5004, 5003, 5444
4526, 5425, 4984, 4983, 5424, 5446, 5005, 5004, 5445
4527, 5426, 4985, 4984, 5425, 5447, 5006, 5005, 5446
4528, 5427, 4986, 4985, 5426, 5448, 5007, 5006, 5447
4529, 5428, 4987, 4986, 5427, 5449, 5008, 5007, 5448
4530, 5429, 4988, 4987, 5428, 5450, 5009, 5008, 5449
4531, 5430, 4989, 4988, 5429, 5451, 5010, 5009, 5450
4532, 5431, 4990, 4989, 5430, 5452, 5011, 5010, 5451
4533, 5432, 4991, 4990, 5431, 5453, 5012, 5011, 5452
4534, 5433, 4992, 4991, 5432, 5454, 5013, 5012, 5453
4535, 5434, 4993, 4992, 5433, 5455, 5014, 5013, 5454
4536, 5435, 4994, 4993, 5434, 5456, 5015, 5014, 5455
4537, 5436, 4995, 4994, 5435, 5457, 5016, 5015, 5456
4538, 5437, 4996, 4995, 5436, 5458, 5017, 5016, 5457
4539, 5438, 4997, 4996, 5437, 5459, 5018, 5017, 5458
4540, 5439, 4998, 4997, 5438, 5460, 5019, 5018, 5459
4541, 5441, 5000, 4999, 5440, 5462, 5021, 5020, 5461
4542, 5442, 5001, 5000, 5441, 5463, 5022, 5021, 5462
4543, 5443, 5002, 5001, 5442, 5464, 5023, 5022, 5463
4544, 5444, 5003, 5002, 5443, 5465, 5024, 5023, 5464
4545, 5445, 5004, 5003, 5444, 5466, 5025, 5024, 5465
4546, 5446, 5005, 5004, 5445, 5467, 5026, 5025, 5466
4547, 5447, 5006, 5005, 5446, 5468, 5027, 5026, 5467
4548, 5448, 5007, 5006, 5447, 5469, 5028, 5027, 5468
4549, 5449, 5008, 5007, 5448, 5470, 5029, 5028, 5469
4550, 5450, 5009, 5008, 5449, 5471, 5030, 5029, 5470
4551, 5451, 5010, 5009, 5450, 5472, 5031, 5030, 5471
4552, 5452, 5011, 5010, 5451, 5473, 5032, 5031, 5472
4553, 5453, 5012, 5011, 5452, 5474, 5033, 5032, 5473
4554, 5454, 5013, 5012, 5453, 5475, 5034, 5033, 5474
4555, 5455, 5014, 5013, 5454, 5476, 5035, 5034, 5475
4556, 5456, 5015, 5014, 5455, 5477, 5036, 5035, 5476
4557, 5457, 5016, 5015, 5456, 5478, 5037, 5036, 5477
4558, 5458, 5017, 5016, 5457, 5479, 5038, 5037, 5478
4559, 5459, 5018, 5017, 5458, 5480, 5039, 5038, 5479
4560, 5460, 5019, 5018, 5459, 5481, 5040, 5039, 5480
4561, 5462, 5021, 5020, 5461, 5483, 5042, 5041, 5482
4562, 5463, 5022, 5021, 5462, 5484, 5043, 5042, 5483
4563, 5464, 5023, 5022, 5463, 5485, 5044, 5043, 5484
4564, 5465, 5024, 5023, 5464, 5486, 5045, 5044, 5485
4565, 5466, 5025, 5024, 5465, 5487, 5046, 5045, 5486
4566, 5467, 5026, 5025, 5466, 5488, 5047, 5046, 5487
4567, 5468, 5027, 5026, 5467, 5489, 5048, 5047, 5488
4568, 5469, 5028, 5027, 5468, 5490, 5049, 5048, 5489
4569, 5470, 5029, 5028, 5469, 5491, 5050, 5049, 5490
4570, 5471, 5030, 5029, 5470, 5492, 5051, 5050, 5491
4571, 5472, 5031, 5030, 5471, 5493, 5052, 5051, 5492
4572, 5473, 5032, 5031, 5472, 5494, 5053, 5052, 5493
4573, 5474, 5033, 5032, 5473, 5495, 5054, 5053, 5494
4574, 5475, 5034, 5033, 5474, 5496, 5055, 5054, 5495
4575, 5476, 5035, 5034, 5475, 5497, 5056, 5055, 5496
4576, 5477, 5036, 5035, 5476, 5498, 5057, 5056, 5497
4577, 5478, 5037, 5036, 5477, 5499, 5058, 5057, 5498
4578, 5479, 5038, 5037, 5478, 5500, 5059, 5058, 5499
4579, 5480, 5039, 5038, 5479, 5501, 5060, 5059, 5500
4580, 5481, 5040, 5039, 5480, 5502, 5061, 5060, 5501
4581, 5483, 5042, 5041, 5482, 5504, 5063, 5062, 5503
4582, 5484, 5043, 5042, 5483, 5505, 5064, 5063, 5504
4583, 5485, 5044, 5043, 5484, 5506, 5065, 5064, 5505
4584, 5486, 5045, 5044, 5485, 5507, 5066, 5065, 5506
4585, 5487, 5046, 5045, 5486, 5508, 5067, 5066, 5507
4586, 5488, 5047, 5046, 5487, 5509, 5068, 5067, 5508
4587, 5489, 5048, 5047, 5488, 5510, 5069, 5068, 5509
4588, 5490, 5049, 5048, 5489, 5511, 5070, 5069, 5510
4589, 5491, 5050, 5049, 5490, 5512, 5071, 5070, 5511
4590, 5492, 5051, 5050, 5491, 5513, 5072, 5071, 5512
4591, 5493, 5052, 5051, 5492, 5514, 5073, 5072, 5513
4592, 5494, 5053, 5052, 5493, 5515, 5074, 5073, 5514
4593, 5495, 5054, 5053, 5494, 5516, 5075, 5074, 5515
4594, 5496, 5055, 5054, 5495, 5517, 5076, 5075, 5516
4595, 5497, 5056, 5055, 5496, 5518, 5077, 5076, 5517
4596, 5498, 5057, 5056, 5497, 5519, 5078, 5077, 5518
4597, 5499, 5058, 5057, 5498, 5520, 5079, 5078, 5519
4598, 5500, 5059, 5058, 5499, 5521, 5080, 5079, 5520
4599, 5501, 5060, 5059, 5500, 5522, 5081, 5080, 5521
4600, 5502, 5061, 5060, 5501, 5523, 5082, 5081, 5522
4601, 5504, 5063, 5062, 5503, 5525, 5084, 5083, 5524
4602, 5505, 5064, 5063, 5504, 5526, 5085, 5084, 5525
4603, 5506, 5065, 5064, 5505, 5527, 5086, 5085, 5526
4604, 5507, 5066, 5065, 5506, 5528, 5087, 5086, 5527
4605, 5508, 5067, 5066, 5507, 5529, 5088, 5087, 5528
4606, 5509, 5068, 5067, 5508, 5530, 5089, 5088, 5529
4607, 5510, 5069, 5068, 5509, 5531, 5090, 5089, 5530
4608, 5511, 5070, 5069, 5510, 5532, 5091, 5090, 5531
4609, 5512, 5071, 5070, 5511, 5533, 5092, 5091, 5532
4610, 5513, 5072, 5071, 5512, 5534, 5093, 5092, 5533
4611, 5514, 5073, 5072, 5513, 5535, 5094, 5093, 5534
4612, 5515, 5074, 5073, 5514, 5536, 5095, 5094, 5535
4613, 5516, 5075, 5074, 5515, 5537, 5096, 5095, 5536
4614, 5517, 5076, 5075, 5516, 5538, 5097, 5096, 5537
4615, 5518, 5077, 5076, 5517, 5539, 5098, 5097, 5538
4616, 5519, 5078, 5077, 5518, 5540, 5099, 5098, 5539
4617, 5520, 5079, 5078, 5519, 5541, 5100, 5099, 5540
4618, 5521, 5080, 5079, 5520, 5542, 5101, 5100, 5541
4619, 5522, 5081, 5080, 5521, 5543, 5102, 5101, 5542
4620, 5523, 5082, 5081, 5522, 5544, 5103, 5102, 5543
4621, 5525, 5084, 5083, 5524, 5546, 5105, 5104, 5545
4622, 5526, 5085, 5084, 5525, 5547, 5106, 5105, 5546
4623, 5527, 5086, 5085, 5526, 5548, 5107, 5106, 5547
4624, 5528, 5087, 5086, 5527, 5549, 5108, 5107, 5548
4625, 5529, 5088, 5087, 5528, 5550, 5109, 5108, 5549
4626, 5530, 5089, 5088, 5529, 5551, 5110, 5109, 5550
4627, 5531, 5090, 5089, 5530, 5552, 5111, 5110, 5551
4628, 5532, 5091, 5090, 5531, 5553, 5112, 5111, 5552
4629, 5533, 5092, 5091, 5532, 5554, 5113, 5112, 5553
4630, 5534, 5093, 5092, 5533, 5555, 5114, 5113, 5554
4631, 5535, 5094, 5093, 5534, 5556, 5115, 5114, 5555
4632, 5536, 5095, 5094, 5535, 5557, 5116, 5115, 5556
4633, 5537, 5096, 5095, 5536, 5558, 5117, 5116, 5557
4634, 5538, 5097, 5096, 5537, 5559, 5118, 5117, 5558
4635, 5539, 5098, 5097, 5538, 5560, 5119, 5118, 5559
4636, 5540, 5099, 5098, 5539, 5561, 5120, 5119, 5560
4637, 5541, 5100, 5099, 5540, 5562, 5121, 5120, 5561
4638, 5542, 5101, 5100, 5541, 5563, 5122, 5121, 5562
4639, 5543, 5102, 5101, 5542, 5564, 5123, 5122, 5563
4640, 5544, 5103, 5102, 5543, 5565, 5124, 5123, 5564
4641, 5546, 5105, 5104, 5545, 5567, 5126, 5125, 5566
4642, 5547, 5106, 5105, 5546, 5568, 5127, 5126, 5567
4643, 5548, 5107, 5106, 5547, 5569, 5128, 5127, 5568
4644, 5549, 5108, 5107, 5548, 5570, 5129, 5128, 5569
4645, 5550, 5109, 5108, 5549, 5571, 5130, 5129, 5570
4646, 5551, 5110, 5109, 5550, 5572, 5131, 5130, 5571
4647, 5552, 5111, 5110, 5551, 5573, 5132, 5131, 5572
4648, 5553, 5112, 5111, 5552, 5574, 5133, 5132, 5573
4649, 5554, 5113, 5112, 5553, 5575, 5134, 5133, 5574
4650, 5555, 5114, 5113, 5554, 5576, 5135, 5134, 5575
4651, 5556, 5115, 5114, 5555, 5577, 5136, 5135, 5576
4652, 5557, 5116, 5115, 5556, 5578, 5137, 5136, 5577
4653, 5558, 5117, 5116, 5557, 5579, 5138, 5137, 5578
4654, 5559, 5118, 5117, 5558, 5580, 5139, 5138, 5579
4655, 5560, 5119, 5118, 5559, 5581, 5140, 5139, 5580
4656, 5561, 5120, 5119, 5560, 5582, 5141, 5140, 5581
4657, 5562, 5121, 5120, 5561, 5583, 5142, 5141, 5582
4658, 5563, 5122, 5121, 5562, 5584, 5143, 5142, 5583
4659, 5564, 5123, 5122, 5563, 5585, 5144, 5143, 5584
4660, 5565, 5124, 5123, 5564, 5586, 5145, 5144, 5585
4661, 5567, 5126, 5125, 5566, 5588, 5147, 5146, 5587
4662, 5568, 5127, 5126, 5567, 5589, 5148, 5147, 5588
4663, 5569, 5128, 5127, 5568, 5590, 5149, 5148, 5589
4664, 5570, 5129, 5128, 5569, 5591, 5150, 5149, 5590
4665, 5571, 5130, 5129, 5570, 5592, 5151, 5150, 5591
4666, 5572, 5131, 5130, 5571, 5593, 5152, 5151, 5592
4667, 5573, 5132, 5131, 5572, 5594, 5153, 5152, 5593
4668, 5574, 5133, 5132, 5573, 5595, 5154, 5153, 5594
4669, 5575, 5134, 5133, 5574, 5596, 5155, 5154, 5595
4670, 5576, 5135, 5134, 5575, 5597, 5156, 5155, 5596
4671, 5577, 5136, 5135, 5576, 5598, 5157, 5156, 5597
4672, 5578, 5137, 5136, 5577, 5599, 5158, 5157, 5598
4673, 5579, 5138, 5137, 5578, 5600, 5159, 5158, 5599
4674, 5580, 5139, 5138, 5579, 5601, 5160, 5159, 5600
4675, 5581, 5140, 5139, 5580, 5602, 5161, 5160, 5601
4676, 5582, 5141, 5140, 5581, 5603, 5162, 5161, 5602
4677, 5583, 5142, 5141, 5582, 5604, 5163, 5162, 5603
4678, 5584, 5143, 5142, 5583, 5605, 5164, 5163, 5604
4679, 5585, 5144, 5143, 5584, 5606, 5165, 5164, 5605
4680, 5586, 5145, 5144, 5585, 5607, 5166, 5165, 5606
4681, 5588, 5147, 5146, 5587, 5609, 5168, 5167, 5608
4682, 5589, 5148, 5147, 5588, 5610, 5169, 5168, 5609
4683, 5590, 5149, 5148, 5589, 5611, 5170, 5169, 5610
4684, 5591, 5150, 5149, 5590, 5612, 5171, 5170, 5611
4685, 5592, 5151, 5150, 5591, 5613, 5172, 5171, 5612
4686, 5593, 5152, 5151, 5592, 5614, 5173, 5172, 5613
4687, 5594, 5153, 5152, 5593, 5615, 5174, 5173, 5614
4688, 5595, 5154, 5153, 5594, 5616, 5175, 5174, 5615
4689, 5596, 5155, 5154, 5595, 5617, 5176, 5175, 5616
4690, 5597, 5156, 5155, 5596, 5618, 5177, 5176, 5617
4691, 5598, 5157, 5156, 5597, 5619, 5178, 5177, 5618
4692, 5599, 5158, 5157, 5598, 5620, 5179, 5178, 5619
4693, 5600, 5159, 5158, 5599, 5621, 5180, 5179, 5620
4694, 5601, 5160, 5159, 5600, 5622, 5181, 5180, 5621
4695, 5602, 5161, 5160, 5601, 5623, 5182, 5181, 5622
4696, 5603, 5162, 5161, 5602, 5624, 5183, 5182, 5623
4697, 5604, 5163, 5162, 5603, 5625, 5184, 5183, 5624
4698, 5605, 5164, 5163, 5604, 5626, 5185, 5184, 5625
4699, 5606, 5165, 5164, 5605, 5627, 5186, 5185, 5626
4700, 5607, 5166, 5165, 5606, 5628, 5187, 5186, 5627
4701, 5609, 5168, 5167, 5608, 5630, 5189, 5188, 5629
4702, 5610, 5169, 5168, 5609, 5631, 5190, 5189, 5630
4703, 5611, 5170, 5169, 5610, 5632, 5191, 5190, 5631
4704, 5612, 5171, 5170, 5611, 5633, 5192, 5191, 5632
4705, 5613, 5172, 5171, 5612, 5634, 5193, 5192, 5633
4706, 5614, 5173, 5172, 5613, 5635, 5194, 5193, 5634
4707, 5615, 5174, 5173, 5614, 5636, 5195, 5194, 5635
4708, 5616, 5175, 5174, 5615, 5637, 5196, 5195, 5636
4709, 5617, 5176, 5175, 5616, 5638, 5197, 5196, 5637
4710, 5618, 5177, 5176, 5617, 5639, 5198, 5197, 5638
4711, 5619, 5178, 5177, 5618, 5640, 5199, 5198, 5639
4712, 5620, 5179, 5178, 5619, 5641, 5200, 5199, 5640
4713, 5621, 5180, 5179, 5620, 5642, 5201, 5200, 5641
4714, 5622, 5181, 5180, 5621, 5643, 5202, 5201, 5642
4715, 5623, 5182, 5181, 5622, 5644, 5203, 5202, 5643
4716, 5624, 5183, 5182, 5623, 5645, 5204, 5203, 5644
4717, 5625, 5184, 5183, 5624, 5646, 5205, 5204, 5645
4718, 5626, 5185, 5184, 5625, 5647, 5206, 5205, 5646
4719, 5627, 5186, 5185, 5626, 5648, 5207, 5206, 5647
4720, 5628, 5187, 5186, 5627, 5649, 5208, 5207, 5648
4721, 5630, 5189, 5188, 5629, 5651, 5210, 5209, 5650
4722, 5631, 5190, 5189, 5630, 5652, 5211, 5210, 5651
4723, 5632, 5191, 5190, 5631, 5653, 5212, 5211, 5652
4724, 5633, 5192, 5191, 5632, 5654, 5213, 5212, 5653
4725, 5634, 5193, 5192, 5633, 5655, 5214, 5213, 5654
4726, 5635, 5194, 5193, 5634, 5656, 5215, 5214, 5655
4727, 5636, 5195, 5194, 5635, 5657, 5216, 5215, 5656
4728, 5637, 5196, 5195, 5636, 5658, 5217, 5216, 5657
4729, 5638, 5197, 5196, 5637, 5659, 5218, 5217, 5658
4730, 5639, 5198, 5197, 5638, 5660, 5219, 5218, 5659
4731, 5640, 5199, 5198, 5639, 5661, 5220, 5219, 5660
4732, 5641, 5200, 5199, 5640, 5662, 5221, 5220, 5661
4733, 5642, 5201, 5200, 5641, 5663, 5222, 5221, 5662
4734, 5643, 5202, 5201, 5642, 5664, 5223, 5222, 5663
4735, 5644, 5203, 5202, 5643, 5665, 5224, 5223, 5664
4736, 5645, 5204, 5203, 5644, 5666, 5225, 5224, 5665
4737, 5646, 5205, 5204, 5645, 5667, 5226, 5225, 5666
4738, 5647, 5206, 5205, 5646, 5668, 5227, 5226, 5667
4739, 5648, 5207, 5206, 5647, 5669, 5228, 5227, 5668
4740, 5649, 5208, 5207, 5648, 5670, 5229, 5228, 5669
4741, 5651, 5210, 5209, 5650, 5672, 5231, 5230, 5671
4742, 5652, 5211, 5210, 5651, 5673, 5232, 5231, 5672
4743, 5653, 5212, 5211, 5652, 5674, 5233, 5232, 5673
4744, 5654, 5213, 5212, 5653, 5675, 5234, 5233, 5674
4745, 5655, 5214, 5213, 5654, 5676, 5235, 5234, 5675
4746, 5656, 5215, 5214, 5655, 5677, 5236, 5235, 5676
4747, 5657, 5216, 5215, 5656, 5678, 5237, 5236, 5677
4748, 5658, 5217, 5216, 5657, 5679, 5238, 5237, 5678
4749, 5659, 5218, 5217, 5658, 5680, 5239, 5238, 5679
4750, 5660, 5219, 5218, 5659, 5681, 5240, 5239, 5680
4751, 5661, 5220, 5219, 5660, 5682, 5241, 5240, 5681
4752, 5662, 5221, 5220, 5661, 5683, 5242, 5241, 5682
4753, 5663, 5222, 5221, 5662, 5684, 5243, 5242, 5683
4754, 5664, 5223, 5222, 5663, 5685, 5244, 5243, 5684
4755, 5665, 5224, 5223, 5664, 5686, 5245, 5244, 5685
4756, 5666, 5225, 5224, 5665, 5687, 5246, 5245, 5686
4757, 5667, 5226, 5225, 5666, 5688, 5247, 5246, 5687
4758, 5668, 5227, 5226, 5667, 5689, 5248, 5247, 5688
4759, 5669, 5228, 5227, 5668, 5690, 5249, 5248, 5689
4760, 5670, 5229, 5228, 5669, 5691, 5250, 5249, 5690
4761, 5672, 5231, 5230, 5671, 5693, 5252, 5251, 5692
4762, 5673, 5232, 5231, 5672, 5694, 5253, 5252, 5693
4763, 5674, 5233, 5232, 5673, 5695, 5254, 5253, 5694
4764, 5675, 5234, 5233, 5674, 5696, 5255, 5254, 5695
4765, 5676, 5235, 5234, 5675, 5697, 5256, 5255, 5696
4766, 5677, 5236, 5235, 5676, 5698, 5257, 5256, 5697
4767, 5678, 5237, 5236, 5677, 5699, 5258, 5257, 5698
4768, 5679, 5238, 5237, 5678, 5700, 5259, 5258, 5699
4769, 5680, 5239, 5238, 5679, 5701, 5260, 5259, 5700
4770, 5681, 5240, 5239, 5680, 5702, 5261, 5260, 5701
4771, 5682, 5241, 5240, 5681, 5703, 5262, 5261, 5702
4772, 5683, 5242, 5241, 5682, 5704, 5263, 5262, 5703
4773, 5684, 5243, 5242, 5683, 5705, 5264, 5263, 5704
4774, 5685, 5244, 5243, 5684, 5706, 5265, 5264, 5705
4775, 5686, 5245, 5244, 5685, 5707, 5266, 5265, 5706
4776, 5687, 5246, 5245, 5686, 5708, 5267, 5266, 5707
4777, 5688, 5247, 5246, 5687, 5709, 5268, 5267, 5708
4778, 5689, 5248, 5247, 5688, 5710, 5269, 5268, 5709
4779, 5690, 5249, 5248, 5689, 5711, 5270, 5269, 5710
4780, 5691, 5250, 5249, 5690, 5712, 5271, 5270, 5711
4781, 5693, 5252, 5251, 5692, 5714, 5273, 5272, 5713
4782, 5694, 5253, 5252, 5693, 5715, 5274, 5273, 5714
4783, 5695, 5254, 5253, 5694, 5716, 5275, 5274, 5715
4784, 5696, 5255, 5254, 5695, 5717, 5276, 5275, 5716
4785, 5697, 5256, 5255, 5696, 5718, 5277, 5276, 5717
4786, 5698, 5257, 5256, 5697, 5719, 5278, 5277, 5718
4787, 5699, 5258, 5257, 5698, 5720, 5279, 5278, 5719
4788, 5700, 5259, 5258, 5699, 5721, 5280, 5279, 5720
4789, 5701, 5260, 5259, 5700, 5722, 5281, 5280, 5721
4790, 5702, 5261, 5260, 5701, 5723, 5282, 5281, 5722
4791, 5703, 5262, 5261, 5702, 5724, 5283, 5282, 5723
4792, 5704, 5263, 5262, 5703, 5725, 5284, 5283, 5724
4793, 5705, 5264, 5263, 5704, 5726, 5285, 5284, 5725
4794, 5706, 5265, 5264, 5705, 5727, 5286, 5285, 5726
4795, 5707, 5266, 5265, 5706, 5728, 5287, 5286, 5727
4796, 5708, 5267, 5266, 5707, 5729, 5288, 5287, 5728
4797, 5709, 5268, 5267, 5708, 5730, 5289, 5288, 5729
4798, 5710, 5269, 5268, 5709, 5731, 5290, 5289, 5730
4799, 5711, 5270, 5269, 5710, 5732, 5291, 5290, 5731
4800, 5712, 5271, 5270, 5711, 5733, 5292, 5291, 5732
4801, 5735, 5294, 5293, 5734, 5756, 5315, 5314, 5755
4802, 5736, 5295, 5294, 5735, 5757, 5316, 5315, 5756
4803, 5737, 5296, 5295, 5736, 5758, 5317, 5316, 5757
4804, 5738, 5297, 5296, 5737, 5759, 5318, 5317, 5758
4805, 5739, 5298, 5297, 5738, 5760, 5319, 5318, 5759
4806, 5740, 5299, 5298, 5739, 5761, 5320, 5319, 5760
4807, 5741, 5300, 5299, 5740, 5762, 5321, 5320, 5761
4808, 5742, 5301, 5300, 5741, 5763, 5322, 5321, 5762
4809, 5743, 5302, 5301, 5742, 5764, 5323, 5322, 5763
4810, 5744, 5303, 5302, 5743, 5765, 5324, 5323, 5764
4811, 5745, 5304, 5303, 5744, 5766, 5325, 5324, 5765
4812, 5746, 5305, 5304, 5745, 5767, 5326, 5325, 5766
4813, 5747, 5306, 5305, 5746, 5768, 5327, 5326, 5767
4814, 5748, 5307, 5306, 5747, 5769, 5328, 5327, 5768
4815, 5749, 5308, 5307, 5748, 5770, 5329, 5328, 5769
4816, 5750, 5309, 5308, 5749, 5771, 5330, 5329, 5770
4817, 5751, 5310, 5309, 5750, 5772, 5331, 5330, 5771
4818, 5752, 5311, 5310, 5751, 5773, 5332, 5331, 5772
4819, 5753, 5312, 5311, 5752, 5774, 5333, 5332, 5773
4820, 5754, 5313, 5312, 5753, 5775, 5334, 5333, 5774
4821, 5756, 5315, 5314, 5755, 5777, 5336, 5335, 5776
4822, 5757, 5316, 5315, 5756, 5778, 5337, 5336, 5777
4823, 5758, 5317, 5316, 5757, 5779, 5338, 5337, 5778
4824, 5759, 5318, 5317, 5758, 5780, 5339, 5338, 5779
4825, 5760, 5319, 5318, 5759, 5781, 5340, 5339, 5780
4826, 5761, 5320, 5319, 5760, 5782, 5341, 5340, 5781
4827, 5762, 5321, 5320, 5761, 5783, 5342, 5341, 5782
4828, 5763, 5322, 5321, 5762, 5784, 5343, 5342, 5783
4829, 5764, 5323, 5322, 5763, 5785, 5344, 5343, 5784
4830, 5765, 5324, 5323, 5764, 5786, 5345, 5344, 5785
4831, 5766, 5325, 5324, 5765, 5787, 5346, 5345, 5786
4832, 5767, 5326, 5325, 5766, 5788, 5347, 5346, 5787
4833, 5768, 5327, 5326, 5767, 5789, 5348, 5347, 5788
4834, 5769, 5328, 5327, 5768, 5790, 5349, 5348, 5789
4835, 5770, 5329, 5328, 5769, 5791, 5350, 5349, 5790
4836, 5771, 5330, 5329, 5770, 5792, 5351, 5350, 5791
4837, 5772, 5331, 5330, 5771, 5793, 5352, 5351, 5792
4838, 5773, 5332, 5331, 5772, 5794, 5353, 5352, 5793
4839, 5774, 5333, 5332, 5773, 5795, 5354, 5353, 5794
4840, 5775, 5334, 5333, 5774, 5796, 5355, 5354, 5795
4841, 5777, 5336, 5335, 5776, 5798, 5357, 5356, 5797
4842, 5778, 5337, 5336, 5777, 5799, 5358, 5357, 5798
4843, 5779, 5338, 5337, 5778, 5800, 5359, 5358, 5799
4844, 5780, 5339, 5338, 5779, 5801, 5360, 5359, 5800
4845, 5781, 5340, 5339, 5780, 5802, 5361, 5360, 5801
4846, 5782, 5341, 5340, 5781, 5803, 5362, 5361, 5802
4847, 5783, 5342, 5341, 5782, 5804, 5363, 5362, 5803
4848, 5784, 5343, 5342, 5783, 5805, 5364, 5363, 5804
4849, 5785, 5344, 5343, 5784, 5806, 5365, 5364, 5805
4850, 5786, 5345, 5344, 5785, 5807, 5366, 5365, 5806
4851, 5787, 5346, 5345, 5786, 5808, 5367, 5366, 5807
4852, 5788, 5347, 5346, 5787, 5809, 5368, 5367, 5808
4853, 5789, 5348, 5347, 5788, 5810, 5369, 5368, 5809
4854, 5790, 5349, 5348, 5789, 5811, 5370, 5369, 5810
4855, 5791, 5350, 5349, 5790, 5812, 5371, 5370, 5811
4856, 5792, 5351, 5350, 5791, 5813, 5372, 5371, 5812
4857, 5793, 5352, 5351, 5792, 5814, 5373, 5372, 5813
4858, 5794, 5353, 5352, 5793, 5815, 5374, 5373, 5814
4859, 5795, 5354, 5353, 5794, 5816, 5375, 5374, 5815
4860, 5796, 5355, 5354, 5795, 5817, 5376, 5375, 5816
4861, 5798, 5357, 5356, 5797, 5819, 5378, 5377, 5818
4862, 5799, 5358, 5357, 5798, 5820, 5379, 5378, 5819
4863, 5800, 5359, 5358, 5799, 5821, 5380, 5379, 5820
4864, 5801, 5360, 5359, 5800, 5822, 5381, 5380, 5821
4865, 5802, 5361, 5360, 5801, 5823, 5382, 5381, 5822
4866, 5803, 5362, 5361, 5802, 5824, 5383, 5382, 5823
4867, 5804, 5363, 5362, 5803, 5825, 5384, 5383, 5824
4868, 5805, 5364, 5363, 5804, 5826, 5385, 5384, 5825
4869, 5806, 5365, 5364, 5805, 5827, 5386, 5385, 5826
4870, 5807, 5366, 5365, 5806, 5828, 5387, 5386, 5827
4871, 5808, 5367, 5366, 5807, 5829, 5388, 5387, 5828
4872, 5809, 5368, 5367, 5808, 5830, 5389, 5388, 5829
4873, 5810, 5369, 5368, 5809, 5831, 5390, 5389, 5830
4874, 5811, 5370, 5369, 5810, 5832, 5391, 5390, 5831
4875, 5812, 5371, 5370, 5811, 5833, 5392, 5391, 5832
4876, 5813, 5372, 5371, 5812, 5834, 5393, 5392, 5833
4877, 5814, 5373, 5372, 5813, 5835, 5394, 5393, 5834
4878, 5815, 5374, 5373, 5814, 5836, 5395, 5394, 5835
4879, 5816, 5375, 5374, 5815, 5837, 5396, 5395, 5836
4880, 5817, 5376, 5375, 5816, 5838, 5397, 5396, 5837
4881, 5819, 5378, 5377, 5818, 5840, 5399, 5398, 5839
4882, 5820, 5379, 5378, 5819, 5841, 5400, 5399, 5840
4883, 5821, 5380, 5379, 5820, 5842, 5401, 5400, 5841
4884, 5822, 5381, 5380, 5821, 5843, 5402, 5401, 5842
4885, 5823, 5382, 5381, 5822, 5844, 5403, 5402, 5843
4886, 5824, 5383, 5382, 5823, 5845, 5404, 5403, 5844
4887, 5825, 5384, 5383, 5824, 5846, 5405, 5404, 5845
4888, 5826, 5385, 5384, 5825, 5847, 5406, 5405, 5846
4889, 5827, 5386, 5385, 5826, 5848, 5407, 5406, 5847
4890, 5828, 5387, 5386, 5827, 5849, 5408, 5407, 5848
4891, 5829, 5388, 5387, 5828, 5850, 5409, 5408, 5849
4892, 5830, 5389, 5388, 5829, 5851, 5410, 5409, 5850
4893, 5831, 5390, 5389, 5830, 5852, 5411, 5410, 5851
4894, 5832, 5391, 5390, 5831, 5853, 5412, 5411, 5852
4895, 5833, 5392, 5391, 5832, 5854, 5413, 5412, 5853
4896, 5834, 5393, 5392, 5833, 5855, 5414, 5413, 5854
4897, 5835, 5394, 5393, 5834, 5856, 5415, 5414, 5855
4898, 5836, 5395, 5394, 5835, 5857, 5416, 5415, 5856
4899, 5837, 5396, 5395, 5836, 5858, 5417, 5416, 5857
4900, 5838, 5397, 5396, 5837, 5859, 5418, 5417, 5858
4901, 5840, 5399, 5398, 5839, 5861, 5420, 5419, 5860
4902, 5841, 5400, 5399, 5840, 5862, 5421, 5420, 5861
4903, 5842, 5401, 5400, 5841, 5863, 5422, 5421, 5862
4904, 5843, 5402, 5401, 5842, 5864, 5423, 5422, 5863
4905, 5844, 5403, 5402, 5843, 5865, 5424, 5423, 5864
4906, 5845, 5404, 5403, 5844, 5866, 5425, 5424, 5865
4907, 5846, 5405, 5404, 5845, 5867, 5426, 5425, 5866
4908, 5847, 5406, 5405, 5846, 5868, 5427, 5426, 5867
4909, 5848, 5407, 5406, 5847, 5869, 5428, 5427, 5868
4910, 5849, 5408, 5407, 5848, 5870, 5429, 5428, 5869
4911, 5850, 5409, 5408, 5849, 5871, 5430, 5429, 5870
4912, 5851, 5410, 5409, 5850, 5872, 5431, 5430, 5871
4913, 5852, 5411, 5410, 5851, 5873, 5432, 5431, 5872
4914, 5853, 5412, 5411, 5852, 5874, 5433, 5432, 5873
4915, 5854, 5413, 5412, 5853, 5875, 5434, 5433, 5874
4916, 5855, 5414, 5413, 5854, 5876, 5435, 5434, 5875
4917, 5856, 5415, 5414, 5855, 5877, 5436, 5435, 5876
4918, 5857, 5416, 5415, 5856, 5878, 5437, 5436, 5877
4919, 5858, 5417, 5416, 5857, 5879, 5438, 5437, 5878
4920, 5859, 5418, 5417, 5858, 5880, 5439, 5438, 5879
4921, 5861, 5420, 5419, 5860, 5882, 5441, 5440, 5881
4922, 5862, 5421, 5420, 5861, 5883, 5442, 5441, 5882
4923, 5863, 5422, 5421, 5862, 5884, 5443, 5442, 5883
4924, 5864, 5423, 5422, 5863, 5885, 5444, 5443, 5884
4925, 5865, 5424, 5423, 5864, 5886, 5445, 5444, 5885
4926, 5866, 5425, 5424, 5865, 5887, 5446, 5445, 5886
4927, 5867, 5426, 5425, 5866, 5888, 5447, 5446, 5887
4928, 5868, 5427, 5426, 5867, 5889, 5448, 5447, 5888
4929, 5869, 5428, 5427, 5868, 5890, 5449, 5448, 5889
4930, 5870, 5429, 5428, 5869, 5891, 5450, 5449, 5890
4931, 5871, 5430, 5429, 5870, 5892, 5451, 5450, 5891
4932, 5872, 5431, 5430, 5871, 5893, 5452, 5451, 5892
4933, 5873, 5432, 5431, 5872, 5894, 5453, 5452, 5893
4934, 5874, 5433, 5432, 5873, 5895, 5454, 5453, 5894
4935, 5875, 5434, 5433, 5874, 5896, 5455, 5454, 5895
4936, 5876, 5435, 5434, 5875, 5897, 5456, 5455, 5896
4937, 5877, 5436, 5435, 5876, 5898, 5457, 5456, 5897
4938, 5878, 5437, 5436, 5877, 5899, 5458, 5457, 5898
4939, 5879, 5438, 5437, 5878, 5900, 5459, 5458, 5899
4940, 5880, 5439, 5438, 5879, 5901, 5460, 5459, 5900
4941, 5882, 5441, 5440, 5881, 5903, 5462, 5461, 5902
4942, 5883, 5442, 5441, 5882, 5904, 5463, 5462, 5903
4943, 5884, 5443, 5442, 5883, 5905, 5464, 5463, 5904
4944, 5885, 5444, 5443, 5884, 5906, 5465, 5464, 5905
4945, 5886, 5445, 5444, 5885, 5907, 5466, 5465, 5906
4946, 5887, 5446, 5445, 5886, 5908, 5467, 5466, 5907
4947, 5888, 5447, 5446, 5887, 5909, 5468, 5467, 5908
4948, 5889, 5448, 5447, 5888, 5910, 5469, 5468, 5909
4949, 5890, 5449, 5448, 5889, 5911, 5470, 5469, 5910
4950, 5891, 5450, 5449, 5890, 5912, 5471, 5470, 5911
4951, 5892, 5451, 5450, 5891, 5913, 5472, 5471, 5912
4952, 5893, 5452, 5451, 5892, 5914, 5473, 5472, 5913
4953, 5894, 5453, 5452, 5893, 5915, 5474, 5473, 5914
4954, 5895, 5454, 5453, 5894, 5916, 5475, 5474, 5915
4955, 5896, 5455, 5454, 5895, 5917, 5476, 5475, 5916
4956, 5897, 5456, 5455, 5896, 5918, 5477, 5476, 5917
4957, 5898, 5457, 5456, 5897, 5919, 5478, 5477, 5918
4958, 5899, 5458, 5457, 5898, 5920, 5479, 5478, 5919
4959, 5900, 5459, 5458, 5899, 5921, 5480, 5479, 5920
4960, 5901, 5460, 5459, 5900, 5922, 5481, 5480, 5921
4961, 5903, 5462, 5461, 5902, 5924, 5483, 5482, 5923
4962, 5904, 5463, 5462, 5903, 5925, 5484, 5483, 5924
4963, 5905, 5464, 5463, 5904, 5926, 5485, 5484, 5925
4964, 5906, 5465, 5464, 5905, 5927, 5486, 5485, 5926
4965, 5907, 5466, 5465, 5906, 5928, 5487, 5486, 5927
4966, 5908, 5467, 5466, 5907, 5929, 5488, 5487, 5928
4967, 5909, 5468, 5467, 5908, 5930, 5489, 5488, 5929
4968, 5910, 5469, 5468, 5909, 5931, 5490, 5489, 5930
4969, 5911, 5470, 5469, 5910, 5932, 5491, 5490, 5931
4970, 5912, 5471, 5470, 5911, 5933, 5492, 5491, 5932
4971, 5913, 5472, 5471, 5912, 5934, 5493, 5492, 5933
4972, 5914, 5473, 5472, 5913, 5935, 5494, 5493, 5934
4973, 5915, 5474, 5473, 5914, 5936, 5495, 5494, 5935
4974, 5916, 5475, 5474, 5915, 5937, 5496, 5495, 5936
4975, 5917, 5476, 5475, 5916, 5938, 5497, 5496, 5937
4976, 5918, 5477, 5476, 5917, 5939, 5498, 5497, 5938
4977, 5919, 5478, 5477, 5918, 5940, 5499, 5498, 5939
4978, 5920, 5479, 5478, 5919, 5941, 5500, 5499, 5940
4979, 5921, 5480, 5479, 5920, 5942, 5501, 5500, 5941
4980, 5922, 5481, 5480, 5921, 5943, 5502, 5501, 5942
4981, 5924, 5483, 5482, 5923, 5945, 5504, 5503, 5944
4982, 5925, 5484, 5483, 5924, 5946, 5505, 5504, 5945
4983, 5926, 5485, 5484, 5925, 5947, 5506, 5505, 5946
4984, 5927, 5486, 5485, 5926, 5948, 5507, 5506, 5947
4985, 5928, 5487, 5486, 5927, 5949, 5508, 5507, 5948
4986, 5929, 5488, 5487, 5928, 5950, 5509, 5508, 5949
4987, 5930, 5489, 5488, 5929, 5951, 5510, 5509, 5950
4988, 5931, 5490, 5489, 5930, 5952, 5511, 5510, 5951
4989, 5932, 5491, 5490, 5931, 5953, 5512, 5511, 5952
4990, 5933, 5492, 5491, 5932, 5954, 5513, 5512, 5953
4991, 5934, 5493, 5492, 5933, 5955, 5514, 5513, 5954
4992, 5935, 5494, 5493, 5934, 5956, 5515, 5514, 5955
4993, 5936, 5495, 5494, 5935, 5957, 5516, 5515, 5956
4994, 5937, 5496, 5495, 5936, 5958, 5517, 5516, 5957
4995, 5938, 5497, 5496, 5937, 5959, 5518, 5517, 5958
4996, 5939, 5498, 5497, 5938, 5960, 5519, 5518, 5959
4997, 5940, 5499, 5498, 5939, 5961, 5520, 5519, 5960
4998, 5941, 5500, 5499, 5940, 5962, 5521, 5520, 5961
4999, 5942, 5501, 5500, 5941, 5963, 5522, 5521, 5962
5000, 5943, 5502, 5501, 5942, 5964, 5523, 5522, 5963
5001, 5945, 5504, 5503, 5944, 5966, 5525, 5524, 5965
5002, 5946, 5505, 5504, 5945, 5967, 5526, 5525, 5966
5003, 5947, 5506, 5505, 5946, 5968, 5527, 5526, 5967
5004, 5948, 5507, 5506, 5947, 5969, 5528, 5527, 5968
5005, 5949, 5508, 5507, 5948, 5970, 5529, 5528, 5969
5006, 5950, 5509, 5508, 5949, 5971, 5530, 5529, 5970
5007, 5951, 5510, 5509, 5950, 5972, 5531, 5530, 5971
5008, 5952, 5511, 5510, 5951, 5973, 5532, 5531, 5972
5009, 5953, 5512, 5511, 5952, 5974, 5533, 5532, 5973
5010, 5954, 5513, 5512, 5953, 5975, 5534, 5533, 5974
5011, 5955, 5514, 5513, 5954, 5976, 5535, 5534, 5975
5012, 5956, 5515, 5514, 5955, 5977, 5536, 5535, 5976
5013, 5957, 5516, 5515, 5956, 5978, 5537, 5536, 5977
5014, 5958, 5517, 5516, 5957, 5979, 5538, 5537, 5978
5015, 5959, 5518, 5517, 5958, 5980, 5539, 5538, 5979
5016, 5960, 5519, 5518, 5959, 5981, 5540, 5539, 5980
5017, 5961, 5520, 5519, 5960, 5982, 5541, 5540, 5981
5018, 5962, 5521, 5520, 5961, 5983, 5542, 5541, 5982
5019, 5963, 5522, 5521, 5962, 5984, 5543, 5542, 5983
5020, 5964, 5523, 5522, 5963, 5985, 5544, 5543, 5984
5021, 5966, 5525, 5524, 5965, 5987, 5546, 5545, 5986
5022, 5967, 5526, 5525, 5966, 5988, 5547, 5546, 5987
5023, 5968, 5527, 5526, 5967, 5989, 5548, 5547, 5988
5024, 5969, 5528, 5527, 5968, 5990, 5549, 5548, 5989
5025, 5970, 5529, 5528, 5969, 5991, 5550, 5549, 5990
5026, 5971, 5530, 5529, 5970, 5992, 5551, 5550, 5991
5027, 5972, 5531, 5530, 5971, 5993, 5552, 5551, 5992
5028, 5973, 5532, 5531, 5972, 5994, 5553, 5552, 5993
5029, 5974, 5533, 5532, 5973, 5995, 5554, 5553, 5994
5030, 5975, 5534, 5533, 5974, 5996, 5555, 5554, 5995
5031, 5976, 5535, 5534, 5975, 5997, 5556, 5555, 5996
5032, 5977, 5536, 5535, 5976, 5998, 5557, 5556, 5997
5033, 5978, 5537, 5536, 5977, 5999, 5558, 5557, 5998
5034, 5979, 5538, 5537, 5978, 6000, 5559, 5558, 5999
5035, 5980, 5539, 5538, 5979, 6001, 5560, 5559, 6000
5036, 5981, 5540, 5539, 5980, 6002, 5561, 5560, 6001
5037, 5982, 5541, 5540, 5981, 6003, 5562, 5561, 6002
5038, 5983, 5542, 5541, 5982, 6004, 5563, 5562, 6003
5039, 5984, 5543, 5542, 5983, 6005, 5564, 5563, 6004
5040, 5985, 5544, 5543, 5984, 6006, 5565, 5564, 6005
5041, 5987, 5546, 5545, 5986, 6008, 5567, 5566, 6007
5042, 5988, 5547, 5546, 5987, 6009, 5568, 5567, 6008
5043, 5989, 5548, 5547, 5988, 6010, 5569, 5568, 6009
5044, 5990, 5549, 5548, 5989, 6011, 5570, 5569, 6010
5045, 5991, 5550, 5549, 5990, 6012, 5571, 5570, 6011
5046, 5992, 5551, 5550, 5991, 6013, 5572, 5571, 6012
5047, 5993, 5552, 5551, 5992, 6014, 5573, 5572, 6013
5048, 5994, 5553, 5552, 5993, 6015, 5574, 5573, 6014
5049, 5995, 5554, 5553, 5994, 6016, 5575, 5574, 6015
5050, 5996, 5555, 5554, 5995, 6017, 5576, 5575, 6016
5051, 5997, 5556, 5555, 5996, 6018, 5577, 5576, 6017
5052, 5998, 5557, 5556, 5997, 6019, 5578, 5577, 6018
5053, 5999, 5558, 5557, 5998, 6020, 5579, 5578, 6019
5054, 6000, 5559, 5558, 5999, 6021, 5580, 5579, 6020
5055, 6001, 5560, 5559, 6000, 6022, 5581, 5580, 6021
5056, 6002, 5561, 5560, 6001, 6023, 5582, 5581, 6022
5057, 6003, 5562, 5561, 6002, 6024, 5583, 5582, 6023
5058, 6004, 5563, 5562, 6003, 6025, 5584, 5583, 6024
5059, 6005, 5564, 5563, 6004, 6026, 5585, 5584, 6025
5060, 6006, 5565, 5564, 6005, 6027, 5586, 5585, 6026
5061, 6008, 5567, 5566, 6007, 6029, 5588, 5587, 6028
5062, 6009, 5568, 5567, 6008, 6030, 5589, 5588, 6029
5063, 6010, 5569, 5568, 6009, 6031, 5590, 5589, 6030
5064, 6011, 5570, 5569, 6010, 6032, 5591, 5590, 6031
5065, 6012, 5571, 5570, 6011, 6033, 5592, 5591, 6032
5066, 6013, 5572, 5571, 6012, 6034, 5593, 5592, 6033
5067, 6014, 5573, 5572, 6013, 6035, 5594, 5593, 6034
5068, 6015, 5574, 5573, 6014, 6036, 5595, 5594, 6035
5069, 6016, 5575, 5574, 6015, 6037, 5596, 5595, 6036
5070, 6017, 5576, 5575, 6016, 6038, 5597, 5596, 6037
5071, 6018, 5577, 5576, 6017, 6039, 5598, 5597, 6038
5072, 6019, 5578, 5577, 6018, 6040, 5599, 5598, 6039
5073, 6020, 5579, 5578, 6019, 6041, 5600, 5599, 6040
5074, 6021, 5580, 5579, 6020, 6042, 5601, 5600, 6041
5075, 6022, 5581, 5580, 6021, 6043, 5602, 5601, 6042
5076, 6023, 5582, 5581, 6022, 6044, 5603, 5602, 6043
5077, 6024, 5583, 5582, 6023, 6045, 5604, 5603, 6044
5078, 6025, 5584, 5583, 6024, 6046, 5605, 5604, 6045
5079, 6026, 5585, 5584, 6025, 6047, 5606, 5605, 6046
5080, 6027, 5586, 5585, 6026, 6048, 5607, 5606, 6047
5081, 6029, 5588, 5587, 6028, 6050, 5609, 5608, 6049
5082, 6030, 5589, 5588, 6029, 6051, 5610, 5609, 6050
5083, 6031, 5590, 5589, 6030, 6052, 5611, 5610, 6051
5084, 6032, 5591, 5590, 6031, 6053, 5612, 5611, 6052
5085, 6033, 5592, 5591, 6032, 6054, 5613, 5612, 6053
5086, 6034, 5593, 5592, 6033, 6055, 5614, 5613, 6054
5087, 6035, 5594, 5593, 6034, 6056, 5615, 5614, 6055
5088, 6036, 5595, 5594, 6035, 6057, 5616, 5615, 6056
5089, 6037, 5596, 5595, 6036, 6058, 5617, 5616, 6057
5090, 6038, 5597, 5596, 6037, 6059, 5618, 5617, 6058
5091, 6039, 5598, 5597, 6038, 6060, 5619, 5618, 6059
5092, 6040, 5599, 5598, 6039, 6061, 5620, 5619, 6060
5093, 6041, 5600, 5599, 6040, 6062, 5621, 5620, 6061
5094, 6042, 5601, 5600, 6041, 6063, 5622, 5621, 6062
5095, 6043, 5602, 5601, 6042, 6064, 5623, 5622, 6063
5096, 6044, 5603, 5602, 6043, 6065, 5624, 5623, 6064
5097, 6045, 5604, 5603, 6044, 6066, 5625, 5624, 6065
5098, 6046, 5605, 5604, 6045, 6067, 5626, 5625, 6066
5099, 6047, 5606, 5605, 6046, 6068, 5627, 5626, 6067
5100, 6048, 5607, 5606, 6047, 6069, 5628, 5627, 6068
5101, 6050, 5609, 5608, 6049, 6071, 5630, 5629, 6070
5102, 6051, 5610, 5609, 6050, 6072, 5631, 5630, 6071
5103, 6052, 5611, 5610, 6051, 6073, 5632, 5631, 6072
5104, 6053, 5612, 5611, 6052, 6074, 5633, 5632, 6073
5105, 6054, 5613, 5612, 6053, 6075, 5634, 5633, 6074
5106, 6055, 5614, 5613, 6054, 6076, 5635, 5634, 6075
5107, 6056, 5615, 5614, 6055, 6077, 5636, 5635, 6076
5108, 6057, 5616, 5615, 6056, 6078, 5637, 5636, 6077
5109, 6058, 5617, 5616, 6057, 6079, 5638, 5637, 6078
5110, 6059, 5618, 5617, 6058, 6080, 5639, 5638, 6079
5111, 6060, 5619, 5618, 6059, 6081, 5640, 5639, 6080
5112, 6061, 5620, 5619, 6060, 6082, 5641, 5640, 6081
5113, 6062, 5621, 5620, 6061, 6083, 5642, 5641, 6082
5114, 6063, 5622, 5621, 6062, 6084, 5643, 5642, 6083
5115, 6064, 5623, 5622, 6063, 6085, 5644, 5643, 6084
5116, 6065, 5624, 5623, 6064, 6086, 5645, 5644, 6085
5117, 6066, 5625, 5624, 6065, 6087, 5646, 5645, 6086
5118, 6067, 5626, 5625, 6066, 6088, 5647, 5646, 6087
5119, 6068, 5627, 5626, 6067, 6089, 5648, 5647, 6088
5120, 6069, 5628, 5627, 6068, 6090, 5649, 5648, 6089
5121, 6071, 5630, 5629, 6070, 6092, 5651, 5650, 6091
5122, 6072, 5631, 5630, 6071, 6093, 5652, 5651, 6092
5123, 6073, 5632, 5631, 6072, 6094, 5653, 5652, 6093
5124, 6074, 5633, 5632, 6073, 6095, 5654, 5653, 6094
5125, 6075, 5634, 5633, 6074, 6096, 5655, 5654, 6095
5126, 6076, 5635, 5634, 6075, 6097, 5656, 5655, 6096
5127, 6077, 5636, 5635, 6076, 6098, 5657, 5656, 6097
5128, 6078, 5637, 5636, 6077, 6099, 5658, 5657, 6098
5129, 6079, 5638, 5637, 6078, 6100, 5659, 5658, 6099
5130, 6080, 5639, 5638, 6079, 6101, 5660, 5659, 6100
5131, 6081, 5640, 5639, 6080, 6102, 5661, 5660, 6101
5132, 6082, 5641, 5640, 6081, 6103, 5662, 5661, 6102
5133, 6083, 5642, 5641, 6082, 6104, 5663, 5662, 6103
5134, 6084, 5643, 5642, 6083, 6105, 5664, 5663, 6104
5135, 6085, 5644, 5643, 6084, 6106, 5665, 5664, 6105
5136, 6086, 5645, 5644, 6085, 6107, 5666, 5665, 6106
5137, 6087, 5646, 5645, 6086, 6108, 5667, 5666, 6107
5138, 6088, 5647, 5646, 6087, 6109, 5668, 5667, 6108
5139, 6089, 5648, 5647, 6088, 6110, 5669, 5668, 6109
5140, 6090, 5649, 5648, 6089, 6111, 5670, 5669, 6110
5141, 6092, 5651, 5650, 6091, 6113, 5672, 5671, 6112
5142, 6093, 5652, 5651, 6092, 6114, 5673, 5672, 6113
5143, 6094, 5653, 5652, 6093, 6115, 5674, 5673, 6114
5144, 6095, 5654, 5653, 6094, 6116, 5675, 5674, 6115
5145, 6096, 5655, 5654, 6095, 6117, 5676, 5675, 6116
5146, 6097, 5656, 5655, 6096, 6118, 5677, 5676, 6117
5147, 6098, 5657, 5656, 6097, 6119, 5678, 5677, 6118
5148, 6099, 5658, 5657, 6098, 6120, 5679, 5678, 6119
5149, 6100, 5659, 5658, 6099, 6121, 5680, 5679, 6120
5150, 6101, 5660, 5659, 6100, 6122, 5681, 5680, 6121
5151, 6102, 5661, 5660, 6101, 6123, 5682, 5681, 6122
5152, 6103, 5662, 5661, 6102, 6124, 5683, 5682, 6123
5153, 6104, 5663, 5662, 6103, 6125, 5684, 5683, 6124
5154, 6105, 5664, 5663, 6104, 6126, 5685, 5684, 6125
5155, 6106, 5665, 5664, 6105, 6127, 5686, 5685, 6126
5156, 6107, 5666, 5665, 6106, 6128, 5687, 5686, 6127
5157, 6108, 5667, 5666, 6107, 6129, 5688, 5687, 6128
5158, 6109, 5668, 5667, 6108, 6130, 5689, 5688, 6129
5159, 6110, 5669, 5668, 6109, 6131, 5690, 5689, 6130
5160, 6111, 5670, 5669, 6110, 6132, 5691, 5690, 6131
5161, 6113, 5672, 5671, 6112, 6134, 5693, 5692, 6133
5162, 6114, 5673, 5672, 6113, 6135, 5694, 5693, 6134
5163, 6115, 5674, 5673, 6114, 6136, 5695, 5694, 6135
5164, 6116, 5675, 5674, 6115, 6137, 5696, 5695, 6136
5165, 6117, 5676, 5675, 6116, 6138, 5697, 5696, 6137
5166, 6118, 5677, 5676, 6117, 6139, 5698, 5697, 6138
5167, 6119, 5678, 5677, 6118, 6140, 5699, 5698, 6139
5168, 6120, 5679, 5678, 6119, 6141, 5700, 5699, 6140
5169, 6121, 5680, 5679, 6120, 6142, 5701, 5700, 6141
5170, 6122, 5681, 5680, 6121, 6143, 5702, 5701, 6142
5171, 6123, 5682, 5681, 6122, 6144, 5703, 5702, 6143
5172, 6124, 5683, 5682, 6123, 6145, 5704, 5703, 6144
5173, 6125, 5684, 5683, 6124, 6146, 5705, 5704, 6145
5174, 6126, 5685, 5684, 6125, 6147, 5706, 5705, 6146
5175, 6127, 5686, 5685, 6126, 6148, 5707, 5706, 6147
5176, 6128, 5687, 5686, 6127, 6149, 5708, 5707, 6148
5177, 6129, 5688, 5687, 6128, 6150, 5709, 5708, 6149
5178, 6130, 5689, 5688, 6129, 6151, 5710, 5709, 6150
5179, 6131, 5690, 5689, 6130, 6152, 5711, 5710, 6151
5180, 6132, 5691, 5690, 6131, 6153, 5712, 5711, 6152
5181, 6134, 5693, 5692, 6133, 6155, 5714, 5713, 6154
5182, 6135, 5694, 5693, 6134, 6156, 5715, 5714, 6155
5183, 6136, 5695, 5694, 6135, 6157, 5716, 5715, 6156
5184, 6137, 5696, 5695, 6136, 6158, 5717, 5716, 6157
5185, 6138, 5697, 5696, 6137, 6159, 5718, 5717, 6158
5186, 6139, 5698, 5697, 6138, 6160, 5719, 5718, 6159
5187, 6140, 5699, 5698, 6139, 6161, 5720, 5719, 6160
5188, 6141, 5700, 5699, 6140, 6162, 5721, 5720, 6161
5189, 6142, 5701, 5700, 6141, 6163, 5722, 5721, 6162
5190, 6143, 5702, 5701, 6142, 6164, 5723, 5722, 6163
5191, 6144, 5703, 5702, 6143, 6165, 5724, 5723, 6164
5192, 6145, 5704, 5703, 6144, 6166, 5725, 5724, 6165
5193, 6146, 5705, 5704, 6145, 6167, 5726, 5725, 6166
5194, 6147, 5706, 5705, 6146, 6168, 5727, 5726, 6167
5195, 6148, 5707, 5706, 6147, 6169, 5728, 5727, 6168
5196, 6149, 5708, 5707, 6148, 6170, 5729, 5728, 6169
5197, 6150, 5709, 5708, 6149, 6171, 5730, 5729, 6170
5198, 6151, 5710, 5709, 6150, 6172, 5731, 5730, 6171
5199, 6152, 5711, 5710, 6151, 6173, 5732, 5731, 6172
5200, 6153, 5712, 5711, 6152, 6174, 5733, 5732, 6173
5201, 6176, 5735, 5734, 6175, 6197, 5756, 5755, 6196
5202, 6177, 5736, 5735, 6176, 6198, 5757, 5756, 6197
5203, 6178, 5737, 5736, 6177, 6199, 5758, 5757, 6198
5204, 6179, 5738, 5737, 6178, 6200, 5759, 5758, 6199
5205, 6180, 5739, 5738, 6179, 6201, 5760, 5759, 6200
5206, 6181, 5740, 5739, 6180, 6202, 5761, 5760, 6201
5207, 6182, 5741, 5740, 6181, 6203, 5762, 5761, 6202
5208, 6183, 5742, 5741, 6182, 6204, 5763, 5762, 6203
5209, 6184, 5743, 5742, 6183, 6205, 5764, 5763, 6204
5210, 6185, 5744, 5743, 6184, 6206, 5765, 5764, 6205
5211, 6186, 5745, 5744, 6185, 6207, 5766, 5765, 6206
5212, 6187, 5746, 5745, 6186, 6208, 5767, 5766, 6207
5213, 6188, 5747, 5746, 6187, 6209, 5768, 5767, 6208
5214, 6189, 5748, 5747, 6188, 6210, 5769, 5768, 6209
5215, 6190, 5749, 5748, 6189, 6211, 5770, 5769, 6210
5216, 6191, 5750, 5749, 6190, 6212, 5771, 5770, 6211
5217, 6192, 5751, 5750, 6191, 6213, 5772, 5771, 6212
5218, 6193, 5752, 5751, 6192, 6214, 5773, 5772, 6213
5219, 6194, 5753, 5752, 6193, 6215, 5774, 5773, 6214
5220, 6195, 5754, 5753, 6194, 6216, 5775, 5774, 6215
5221, 6197, 5756, 5755, 6196, 6218, 5777, 5776, 6217
5222, 6198, 5757, 5756, 6197, 6219, 5778, 5777, 6218
5223, 6199, 5758, 5757, 6198, 6220, 5779, 5778, 6219
5224, 6200, 5759, 5758, 6199, 6221, 5780, 5779, 6220
5225, 6201, 5760, 5759, 6200, 6222, 5781, 5780, 6221
5226, 6202, 5761, 5760, 6201, 6223, 5782, 5781, 6222
5227, 6203, 5762, 5761, 6202, 6224, 5783, 5782, 6223
5228, 6204, 5763, 5762, 6203, 6225, 5784, 5783, 6224
5229, 6205, 5764, 5763, 6204, 6226, 5785, 5784, 6225
5230, 6206, 5765, 5764, 6205, 6227, 5786, 5785, 6226
5231, 6207, 5766, 5765, 6206, 6228, 5787, 5786, 6227
5232, 6208, 5767, 5766, 6207, 6229, 5788, 5787, 6228
5233, 6209, 5768, 5767, 6208, 6230, 5789, 5788, 6229
5234, 6210, 5769, 5768, 6209, 6231, 5790, 5789, 6230
5235, 6211, 5770, 5769, 6210, 6232, 5791, 5790, 6231
5236, 6212, 5771, 5770, 6211, 6233, 5792, 5791, 6232
5237, 6213, 5772, 5771, 6212, 6234, 5793, 5792, 6233
5238, 6214, 5773, 5772, 6213, 6235, 5794, 5793, 6234
5239, 6215, 5774, 5773, 6214, 6236, 5795, 5794, 6235
5240, 6216, 5775, 5774, 6215, 6237, 5796, 5795, 6236
5241, 6218, 5777, 5776, 6217, 6239, 5798, 5797, 6238
5242, 6219, 5778, 5777, 6218, 6240, 5799, 5798, 6239
5243, 6220, 5779, 5778, 6219, 6241, 5800, 5799, 6240
5244, 6221, 5780, 5779, 6220, 6242, 5801, 5800, 6241
5245, 6222, 5781, 5780, 6221, 6243, 5802, 5801, 6242
5246, 6223, 5782, 5781, 6222, 6244, 5803, 5802, 6243
5247, 6224, 5783, 5782, 6223, 6245, 5804, 5803, 6244
5248, 6225, 5784, 5783, 6224, 6246, 5805, 5804, 6245
5249, 6226, 5785, 5784, 6225, 6247, 5806, 5805, 6246
5250, 6227, 5786, 5785, 6226, 6248, 5807, 5806, 6247
5251, 6228, 5787, 5786, 6227, 6249, 5808, 5807, 6248
5252, 6229, 5788, 5787, 6228, 6250, 5809, 5808, 6249
5253, 6230, 5789, 5788, 6229, 6251, 5810, 5809, 6250
5254, 6231, 5790, 5789, 6230, 6252, 5811, 5810, 6251
5255, 6232, 5791, 5790, 6231, 6253, 5812, 5811, 6252
5256, 6233, 5792, 5791, 6232, 6254, 5813, 5812, 6253
5257, 6234, 5793, 5792, 6233, 6255, 5814, 5813, 6254
5258, 6235, 5794, 5793, 6234, 6256, 5815, 5814, 6255
5259, 6236, 5795, 5794, 6235, 6257, 5816, 5815, 6256
5260, 6237, 5796, 5795, 6236, 6258, 5817, 5816, 6257
5261, 6239, 5798, 5797, 6238, 6260, 5819, 5818, 6259
5262, 6240, 5799, 5798, 6239, 6261, 5820, 5819, 6260
5263, 6241, 5800, 5799, 6240, 6262, 5821, 5820, 6261
5264, 6242, 5801, 5800, 6241, 6263, 5822, 5821, 6262
5265, 6243, 5802, 5801, 6242, 6264, 5823, 5822, 6263
5266, 6244, 5803, 5802, 6243, 6265, 5824, 5823, 6264
5267, 6245, 5804, 5803, 6244, 6266, 5825, 5824, 6265
5268, 6246, 5805, 5804, 6245, 6267, 5826, 5825, 6266
5269, 6247, 5806, 5805, 6246, 6268, 5827, 5826, 6267
5270, 6248, 5807, 5806, 6247, 6269, 5828, 5827, 6268
5271, 6249, 5808, 5807, 6248, 6270, 5829, 5828, 6269
5272, 6250, 5809, 5808, 6249, 6271, 5830, 5829, 6270
5273, 6251, 5810, 5809, 6250, 6272, 5831, 5830, 6271
5274, 6252, 5811, 5810, 6251, 6273, 5832, 5831, 6272
5275, 6253, 5812, 5811, 6252, 6274, 5833, 5832, 6273
5276, 6254, 5813, 5812, 6253, 6275, 5834, 5833, 6274
5277, 6255, 5814, 5813, 6254, 6276, 5835, 5834, 6275
5278, 6256, 5815, 5814, 6255, 6277, 5836, 5835, 6276
5279, 6257, 5816, 5815, 6256, 6278, 5837, 5836, 6277
5280, 6258, 5817, 5816, 6257, 6279, 5838, 5837, 6278
5281, 6260, 5819, 5818, 6259, 6281, 5840, 5839, 6280
5282, 6261, 5820, 5819, 6260, 6282, 5841, 5840, 6281
5283, 6262, 5821, 5820, 6261, 6283, 5842, 5841, 6282
5284, 6263, 5822, 5821, 6262, 6284, 5843, 5842, 6283
5285, 6264, 5823, 5822, 6263, 6285, 5844, 5843, 6284
5286, 6265, 5824, 5823, 6264, 6286, 5845, 5844, 6285
5287, 6266, 5825, 5824, 6265, 6287, 5846, 5845, 6286
5288, 6267, 5826, 5825, 6266, 6288, 5847, 5846, 6287
5289, 6268, 5827, 5826, 6267, 6289, 5848, 5847, 6288
5290, 6269, 5828, 5827, 6268, 6290, 5849, 5848, 6289
5291, 6270, 5829, 5828, 6269, 6291, 5850, 5849, 6290
5292, 6271, 5830, 5829, 6270, 6292, 5851, 5850, 6291
5293, 6272, 5831, 5830, 6271, 6293, 5852, 5851, 6292
5294, 6273, 5832, 5831, 6272, 6294, 5853, 5852, 6293
5295, 6274, 5833, 5832, 6273, 6295, 5854, 5853, 6294
5296, 6275, 5834, 5833, 6274, 6296, 5855, 5854, 6295
5297, 6276, 5835, 5834, 6275, 6297, 5856, 5855, 6296
5298, 6277, 5836, 5835, 6276, 6298, 5857, 5856, 6297
5299, 6278, 5837, 5836, 6277, 6299, 5858, 5857, 6298
5300, 6279, 5838, 5837, 6278, 6300, 5859, 5858, 6299
5301, 6281, 5840, 5839, 6280, 6302, 5861, 5860, 6301
5302, 6282, 5841, 5840, 6281, 6303, 5862, 5861, 6302
5303, 6283, 5842, 5841, 6282, 6304, 5863, 5862, 6303
5304, 6284, 5843, 5842, 6283, 6305, 5864, 5863, 6304
5305, 6285, 5844, 5843, 6284, 6306, 5865, 5864, 6305
5306, 6286, 5845, 5844, 6285, 6307, 5866, 5865, 6306
5307, 6287, 5846, 5845, 6286, 6308, 5867, 5866, 6307
5308, 6288, 5847, 5846, 6287, 6309, 5868, 5867, 6308
5309, 6289, 5848, 5847, 6288, 6310, 5869, 5868, 6309
5310, 6290, 5849, 5848, 6289, 6311, 5870, 5869, 6310
5311, 6291, 5850, 5849, 6290, 6312, 5871, 5870, 6311
5312, 6292, 5851, 5850, 6291, 6313, 5872, 5871, 6312
5313, 6293, 5852, 5851, 6292, 6314, 5873, 5872, 6313
5314, 6294, 5853, 5852, 6293, 6315, 5874, 5873, 6314
5315, 6295, 5854, 5853, 6294, 6316, 5875, 5874, 6315
5316, 6296, 5855, 5854, 6295, 6317, 5876, 5875, 6316
5317, 6297, 5856, 5855, 6296, 6318, 5877, 5876, 6317
5318, 6298, 5857, 5856, 6297, 6319, 5878, 5877, 6318
5319, 6299, 5858, 5857, 6298, 6320, 5879, 5878, 6319
5320, 6300, 5859, 5858, 6299, 6321, 5880, 5879, 6320
5321, 6302, 5861, 5860, 6301, 6323, 5882, 5881, 6322
5322, 6303, 5862, 5861, 6302, 6324, 5883, 5882, 6323
5323, 6304, 5863, 5862, 6303, 6325, 5884, 5883, 6324
5324, 6305, 5864, 5863, 6304, 6326, 5885, 5884, 6325
5325, 6306, 5865, 5864, 6305, 6327, 5886, 5885, 6326
5326, 6307, 5866, 5865, 6306, 6328, 5887, 5886, 6327
5327, 6308, 5867, 5866, 6307, 6329, 5888, 5887, 6328
5328, 6309, 5868, 5867, 6308, 6330, 5889, 5888, 6329
5329, 6310, 5869, 5868, 6309, 6331, 5890, 5889, 6330
5330, 6311, 5870, 5869, 6310, 6332, 5891, 5890, 6331
5331, 6312, 5871, 5870, 6311, 6333, 5892, 5891, 6332
5332, 6313, 5872, 5871, 6312, 6334, 5893, 5892, 6333
5333, 6314, 5873, 5872, 6313, 6335, 5894, 5893, 6334
5334, 6315, 5874, 5873, 6314, 6336, 5895, 5894, 6335
5335, 6316, 5875, 5874, 6315, 6337, 5896, 5895, 6336
5336, 6317, 5876, 5875, 6316, 6338, 5897, 5896, 6337
5337, 6318, 5877, 5876, 6317, 6339, 5898, 5897, 6338
5338, 6319, 5878, 5877, 6318, 6340, 5899, 5898, 6339
5339, 6320, 5879, 5878, 6319, 6341, 5900, 5899, 6340
5340, 6321, 5880, 5879, 6320, 6342, 5901, 5900, 6341
5341, 6323, 5882, 5881, 6322, 6344, 5903, 5902, 6343
5342, 6324, 5883, 5882, 6323, 6345, 5904, 5903, 6344
5343, 6325, 5884, 5883, 6324, 6346, 5905, 5904, 6345
5344, 6326, 5885, 5884, 6325, 6347, 5906, 5905, 6346
5345, 6327, 5886, 5885, 6326, 6348, 5907, 5906, 6347
5346, 6328, 5887, 5886, 6327, 6349, 5908, 5907, 6348
5347, 6329, 5888, 5887, 6328, 6350, 5909, 5908, 6349
5348, 6330, 5889, 5888, 6329, 6351, 5910, 5909, 6350
5349, 6331, 5890, 5889, 6330, 6352, 5911, 5910, 6351
5350, 6332, 5891, 5890, 6331, 6353, 5912, 5911, 6352
5351, 6333, 5892, 5891, 6332, 6354, 5913, 5912, 6353
5352, 6334, 5893, 5892, 6333, 6355, 5914, 5913, 6354
5353, 6335, 5894, 5893, 6334, 6356, 5915, 5914, 6355
5354, 6336, 5895, 5894, 6335, 6357, 5916, 5915, 6356
5355, 6337, 5896, 5895, 6336, 6358, 5917, 5916, 6357
5356, 6338, 5897, 5896, 6337, 6359, 5918, 5917, 6358
5357, 6339, 5898, 5897, 6338, 6360, 5919, 5918, 6359
5358, 6340, 5899, 5898, 6339, 6361, 5920, 5919, 6360
5359, 6341, 5900, 5899, 6340, 6362, 5921, 5920, 6361
5360, 6342, 5901, 5900, 6341, 6363, 5922, 5921, 6362
5361, 6344, 5903, 5902, 6343, 6365, 5924, 5923, 6364
5362, 6345, 5904, 5903, 6344, 6366, 5925, 5924, 6365
5363, 6346, 5905, 5904, 6345, 6367, 5926, 5925, 6366
5364, 6347, 5906, 5905, 6346, 6368, 5927, 5926, 6367
5365, 6348, 5907, 5906, 6347, 6369, 5928, 5927, 6368
5366, 6349, 5908, 5907, 6348, 6370, 5929, 5928, 6369
5367, 6350, 5909, 5908, 6349, 6371, 5930, 5929, 6370
5368, 6351, 5910, 5909, 6350, 6372, 5931, 5930, 6371
5369, 6352, 5911, 5910, 6351, 6373, 5932, 5931, 6372
5370, 6353, 5912, 5911, 6352, 6374, 5933, 5932, 6373
5371, 6354, 5913, 5912, 6353, 6375, 5934, 5933, 6374
5372, 6355, 5914, 5913, 6354, 6376, 5935, 5934, 6375
5373, 6356, 5915, 5914, 6355, 6377, 5936, 5935, 6376
5374, 6357, 5916, 5915, 6356, 6378, 5937, 5936, 6377
5375, 6358, 5917, 5916, 6357, 6379, 5938, 5937, 6378
5376, 6359, 5918, 5917, 6358, 6380, 5939, 5938, 6379
5377, 6360, 5919, 5918, 6359, 6381, 5940, 5939, 6380
5378, 6361, 5920, 5919, 6360, 6382, 5941, 5940, 6381
5379, 6362, 5921, 5920, 6361, 6383, 5942, 5941, 6382
5380, 6363, 5922, 5921, 6362, 6384, 5943, 5942, 6383
5381, 6365, 5924, 5923, 6364, 6386, 5945, 5944, 6385
5382, 6366, 5925, 5924, 6365, 6387, 5946, 5945, 6386
5383, 6367, 5926, 5925, 6366, 6388, 5947, 5946, 6387
5384, 6368, 5927, 5926, 6367, 6389, 5948, 5947, 6388
5385, 6369, 5928, 5927, 6368, 6390, 5949, 5948, 6389
5386, 6370, 5929, 5928, 6369, 6391, 5950, 5949, 6390
5387, 6371, 5930, 5929, 6370, 6392, 5951, 5950, 6391
5388, 6372, 5931, 5930, 6371, 6393, 5952, 5951, 6392
5389, 6373, 5932, 5931, 6372, 6394, 5953, 5952, 6393
5390, 6374, 5933, 5932, 6373, 6395, 5954, 5953, 6394
5391, 6375, 5934, 5933, 6374, 6396, 5955, 5954, 6395
5392, 6376, 5935, 5934, 6375, 6397, 5956, 5955, 6396
5393, 6377, 5936, 5935, 6376, 6398, 5957, 5956, 6397
5394, 6378, 5937, 5936, 6377, 6399, 5958, 5957, 6398
5395, 6379, 5938, 5937, 6378, 6400, 5959, 5958, 6399
5396, 6380, 5939, 5938, 6379, 6401, 5960, 5959, 6400
5397, 6381, 5940, 5939, 6380, 6402, 5961, 5960, 6401
5398, 6382, 5941, 5940, 6381, 6403, 5962, 5961, 6402
5399, 6383, 5942, 5941, 6382, 6404, 5963, 5962, 6403
5400, 6384, 5943, 5942, 6383, 6405, 5964, 5963, 6404
5401, 6386, 5945, 5944, 6385, 6407, 5966, 5965, 6406
5402, 6387, 5946, 5945, 6386, 6408, 5967, 5966, 6407
5403, 6388, 5947, 5946, 6387, 6409, 5968, 5967, 6408
5404, 6389, 5948, 5947, 6388, 6410, 5969, 5968, 6409
5405, 6390, 5949, 5948, 6389, 6411, 5970, 5969, 6410
5406, 6391, 5950, 5949, 6390, 6412, 5971, 5970, 6411
5407, 6392, 5951, 5950, 6391, 6413, 5972, 5971, 6412
5408, 6393, 5952, 5951, 6392, 6414, 5973, 5972, 6413
5409, 6394, 5953, 5952, 6393, 6415, 5974, 5973, 6414
5410, 6395, 5954, 5953, 6394, 6416, 5975, 5974, 6415
5411, 6396, 5955, 5954, 6395, 6417, 5976, 5975, 6416
5412, 6397, 5956, 5955, 6396, 6418, 5977, 5976, 6417
5413, 6398, 5957, 5956, 6397, 6419, 5978, 5977, 6418
5414, 6399, 5958, 5957, 6398, 6420, 5979, 5978, 6419
5415, 6400, 5959, 5958, 6399, 6421, 5980, 5979, 6420
5416, 6401, 5960, 5959, 6400, 6422, 5981, 5980, 6421
5417, 6402, 5961, 5960, 6401, 6423, 5982, 5981, 6422
5418, 6403, 5962, 5961, 6402, 6424, 5983, 5982, 6423
5419, 6404, 5963, 5962, 6403, 6425, 5984, 5983, 6424
5420, 6405, 5964, 5963, 6404, 6426, 5985, 5984, 6425
5421, 6407, 5966, 5965, 6406, 6428, 5987, 5986, 6427
5422, 6408, 5967, 5966, 6407, 6429, 5988, 5987, 6428
5423, 6409, 5968, 5967, 6408, 6430, 5989, 5988, 6429
5424, 6410, 5969, 5968, 6409, 6431, 5990, 5989, 6430
5425, 6411, 5970, 5969, 6410, 6432, 5991, 5990, 6431
5426, 6412, 5971, 5970, 6411, 6433, 5992, 5991, 6432
5427, 6413, 5972, 5971, 6412, 6434, 5993, 5992, 6433
5428, 6414, 5973, 5972, 6413, 6435, 5994, 5993, 6434
5429, 6415, 5974, 5973, 6414, 6436, 5995, 5994, 6435
5430, 6416, 5975, 5974, 6415, 6437, 5996, 5995, 6436
5431, 6417, 5976, 5975, 6416, 6438, 5997, 5996, 6437
5432, 6418, 5977, 5976, 6417, 6439, 5998, 5997, 6438
5433, 6419, 5978, 5977, 6418, 6440, 5999, 5998, 6439
5434, 6420, 5979, 5978, 6419, 6441, 6000, 5999, 6440
5435, 6421, 5980, 5979, 6420, 6442, 6001, 6000, 6441
5436, 6422, 5981, 5980, 6421, 6443, 6002, 6001, 6442
5437, 6423, 5982, 5981, 6422, 6444, 6003, 6002, 6443
5438, 6424, 5983, 5982, 6423, 6445, 6004, 6003, 6444
5439, 6425, 5984, 5983, 6424, 6446, 6005, 6004, 6445
5440, 6426, 5985, 5984, 6425, 6447, 6006, 6005, 6446
5441, 6428, 5987, 5986, 6427, 6449, 6008, 6007, 6448
5442, 6429, 5988, 5987, 6428, 6450, 6009, 6008, 6449
5443, 6430, 5989, 5988, 6429, 6451, 6010, 6009, 6450
5444, 6431, 5990, 5989, 6430, 6452, 6011, 6010, 6451
5445, 6432, 5991, 5990, 6431, 6453, 6012, 6011, 6452
5446, 6433, 5992, 5991, 6432, 6454, 6013, 6012, 6453
5447, 6434, 5993, 5992, 6433, 6455, 6014, 6013, 6454
5448, 6435, 5994, 5993, 6434, 6456, 6015, 6014, 6455
5449, 6436, 5995, 5994, 6435, 6457, 6016, 6015, 6456
5450, 6437, 5996, 5995, 6436, 6458, 6017, 6016, 6457
5451, 6438, 5997, 5996, 6437, 6459, 6018, 6017, 6458
5452, 6439, 5998, 5997, 6438, 6460, 6019, 6018, 6459
5453, 6440, 5999, 5998, 6439, 6461, 6020, 6019, 6460
5454, 6441, 6000, 5999, 6440, 6462, 6021, 6020, 6461
5455, 6442, 6001, 6000, 6441, 6463, 6022, 6021, 6462
5456, 6443, 6002, 6001, 6442, 6464, 6023, 6022, 6463
5457, 6444, 6003, 6002, 6443, 6465, 6024, 6023, 6464
5458, 6445, 6004, 6003, 6444, 6466, 6025, 6024, 6465
5459, 6446, 6005, 6004, 6445, 6467, 6026, 6025, 6466
5460, 6447, 6006, 6005, 6446, 6468, 6027, 6026, 6467
5461, 6449, 6008, 6007, 6448, 6470, 6029, 6028, 6469
5462, 6450, 6009, 6008, 6449, 6471, 6030, 6029, 6470
5463, 6451, 6010, 6009, 6450, 6472, 6031, 6030, 6471
5464, 6452, 6011, 6010, 6451, 6473, 6032, 6031, 6472
5465, 6453, 6012, 6011, 6452, 6474, 6033, 6032, 6473
5466, 6454, 6013, 6012, 6453, 6475, 6034, 6033, 6474
5467, 6455, 6014, 6013, 6454, 6476, 6035, 6034, 6475
5468, 6456, 6015, 6014, 6455, 6477, 6036, 6035, 6476
5469, 6457, 6016, 6015, 6456, 6478, 6037, 6036, 6477
5470, 6458, 6017, 6016, 6457, 6479, 6038, 6037, 6478
5471, 6459, 6018, 6017, 6458, 6480, 6039, 6038, 6479
5472, 6460, 6019, 6018, 6459, 6481, 6040, 6039, 6480
5473, 6461, 6020, 6019, 6460, 6482, 6041, 6040, 6481
5474, 6462, 6021, 6020, 6461, 6483, 6042, 6041, 6482
5475, 6463, 6022, 6021, 6462, 6484, 6043, 6042, 6483
5476, 6464, 6023, 6022, 6463, 6485, 6044, 6043, 6484
5477, 6465, 6024, 6023, 6464, 6486, 6045, 6044, 6485
5478, 6466, 6025, 6024, 6465, 6487, 6046, 6045, 6486
5479, 6467, 6026, 6025, 6466, 6488, 6047, 6046, 6487
5480, 6468, 6027, 6026, 6467, 6489, 6048, 6047, 6488
5481, 6470, 6029, 6028, 6469, 6491, 6050, 6049, 6490
5482, 6471, 6030, 6029, 6470, 6492, 6051, 6050, 6491
5483, 6472, 6031, 6030, 6471, 6493, 6052, 6051, 6492
5484, 6473, 6032, 6031, 6472, 6494, 6053, 6052, 6493
5485, 6474, 6033, 6032, 6473, 6495, 6054, 6053, 6494
5486, 6475, 6034, 6033, 6474, 6496, 6055, 6054, 6495
5487, 6476, 6035, 6034, 6475, 6497, 6056, 6055, 6496
5488, 6477, 6036, 6035, 6476, 6498, 6057, 6056, 6497
5489, 6478, 6037, 6036, 6477, 6499, 6058, 6057, 6498
5490, 6479, 6038, 6037, 6478, 6500, 6059, 6058, 6499
5491, 6480, 6039, 6038, 6479, 6501, 6060, 6059, 6500
5492, 6481, 6040, 6039, 6480, 6502, 6061, 6060, 6501
5493, 6482, 6041, 6040, 6481, 6503, 6062, 6061, 6502
5494, 6483, 6042, 6041, 6482, 6504, 6063, 6062, 6503
5495, 6484, 6043, 6042, 6483, 6505, 6064, 6063, 6504
5496, 6485, 6044, 6043, 6484, 6506, 6065, 6064, 6505
5497, 6486, 6045, 6044, 6485, 6507, 6066, 6065, 6506
5498, 6487, 6046, 6045, 6486, 6508, 6067, 6066, 6507
5499, 6488, 6047, 6046, 6487, 6509, 6068, 6067, 6508
5500, 6489, 6048, 6047, 6488, 6510, 6069, 6068, 6509
5501, 6491, 6050, 6049, 6490, 6512, 6071, 6070, 6511
5502, 6492, 6051, 6050, 6491, 6513, 6072, 6071, 6512
5503, 6493, 6052, 6051, 6492, 6514, 6073, 6072, 6513
5504, 6494, 6053, 6052, 6493, 6515, 6074, 6073, 6514
5505, 6495, 6054, 6053, 6494, 6516, 6075, 6074, 6515
5506, 6496, 6055, 6054, 6495, 6517, 6076, 6075, 6516
5507, 6497, 6056, 6055, 6496, 6518, 6077, 6076, 6517
5508, 6498, 6057, 6056, 6497, 6519, 6078, 6077, 6518
5509, 6499, 6058, 6057, 6498, 6520, 6079, 6078, 6519
5510, 6500, 6059, 6058, 6499, 6521, 6080, 6079, 6520
5511, 6501, 6060, 6059, 6500, 6522, 6081, 6080, 6521
5512, 6502, 6061, 6060, 6501, 6523, 6082, 6081, 6522
5513, 6503, 6062, 6061, 6502, 6524, 6083, 6082, 6523
5514, 6504, 6063, 6062, 6503, 6525, 6084, 6083, 6524
5515, 6505, 6064, 6063, 6504, 6526, 6085, 6084, 6525
5516, 6506, 6065, 6064, 6505, 6527, 6086, 6085, 6526
5517, 6507, 6066, 6065, 6506, 6528, 6087, 6086, 6527
5518, 6508, 6067, 6066, 6507, 6529, 6088, 6087, 6528
5519, 6509, 6068, 6067, 6508, 6530, 6089, 6088, 6529
5520, 6510, 6069, 6068, 6509, 6531, 6090, 6089, 6530
5521, 6512, 6071, 6070, 6511, 6533, 6092, 6091, 6532
5522, 6513, 6072, 6071, 6512, 6534, 6093, 6092, 6533
5523, 6514, 6073, 6072, 6513, 6535, 6094, 6093, 6534
5524, 6515, 6074, 6073, 6514, 6536, 6095, 6094, 6535
5525, 6516, 6075, 6074, 6515, 6537, 6096, 6095, 6536
5526, 6517, 6076, 6075, 6516, 6538, 6097, 6096, 6537
5527, 6518, 6077, 6076, 6517, 6539, 6098, 6097, 6538
5528, 6519, 6078, 6077, 6518, 6540, 6099, 6098, 6539
5529, 6520, 6079, 6078, 6519, 6541, 6100, 6099, 6540
5530, 6521, 6080, 6079, 6520, 6542, 6101, 6100, 6541
5531, 6522, 6081, 6080, 6521, 6543, 6102, 6101, 6542
5532, 6523, 6082, 6081, 6522, 6544, 6103, 6102, 6543
5533, 6524, 6083, 6082, 6523, 6545, 6104, 6103, 6544
5534, 6525, 6084, 6083, 6524, 6546, 6105, 6104, 6545
5535, 6526, 6085, 6084, 6525, 6547, 6106, 6105, 6546
5536, 6527, 6086, 6085, 6526, 6548, 6107, 6106, 6547
5537, 6528, 6087, 6086, 6527, 6549, 6108, 6107, 6548
5538, 6529, 6088, 6087, 6528, 6550, 6109, 6108, 6549
5539, 6530, 6089, 6088, 6529, 6551, 6110, 6109, 6550
5540, 6531, 6090, 6089, 6530, 6552, 6111, 6110, 6551
5541, 6533, 6092, 6091, 6532, 6554, 6113, 6112, 6553
5542, 6534, 6093, 6092, 6533, 6555, 6114, 6113, 6554
5543, 6535, 6094, 6093, 6534, 6556, 6115, 6114, 6555
5544, 6536, 6095, 6094, 6535, 6557, 6116, 6115, 6556
5545, 6537, 6096, 6095, 6536, 6558, 6117, 6116, 6557
5546, 6538, 6097, 6096, 6537, 6559, 6118, 6117, 6558
5547, 6539, 6098, 6097, 6538, 6560, 6119, 6118, 6559
5548, 6540, 6099, 6098, 6539, 6561, 6120, 6119, 6560
5549, 6541, 6100, 6099, 6540, 6562, 6121, 6120, 6561
5550, 6542, 6101, 6100, 6541, 6563, 6122, 6121, 6562
5551, 6543, 6102, 6101, 6542, 6564, 6123, 6122, 6563
5552, 6544, 6103, 6102, 6543, 6565, 6124, 6123, 6564
5553, 6545, 6104, 6103, 6544, 6566, 6125, 6124, 6565
5554, 6546, 6105, 6104, 6545, 6567, 6126, 6125, 6566
5555, 6547, 6106, 6105, 6546, 6568, 6127, 6126, 6567
5556, 6548, 6107, 6106, 6547, 6569, 6128, 6127, 6568
5557, 6549, 6108, 6107, 6548, 6570, 6129, 6128, 6569
5558, 6550, 6109, 6108, 6549, 6571, 6130, 6129, 6570
5559, 6551, 6110, 6109, 6550, 6572, 6131, 6130, 6571
5560, 6552, 6111, 6110, 6551, 6573, 6132, 6131, 6572
5561, 6554, 6113, 6112, 6553, 6575, 6134, 6133, 6574
5562, 6555, 6114, 6113, 6554, 6576, 6135, 6134, 6575
5563, 6556, 6115, 6114, 6555, 6577, 6136, 6135, 6576
5564, 6557, 6116, 6115, 6556, 6578, 6137, 6136, 6577
5565, 6558, 6117, 6116, 6557, 6579, 6138, 6137, 6578
5566, 6559, 6118, 6117, 6558, 6580, 6139, 6138, 6579
5567, 6560, 6119, 6118, 6559, 6581, 6140, 6139, 6580
5568, 6561, 6120, 6119, 6560, 6582, 6141, 6140, 6581
5569, 6562, 6121, 6120, 6561, 6583, 6142, 6141, 6582
5570, 6563, 6122, 6121, 6562, 6584, 6143, 6142, 6583
5571, 6564, 6123, 6122, 6563, 6585, 6144, 6143, 6584
5572, 6565, 6124, 6123, 6564, 6586, 6145, 6144, 6585
5573, 6566, 6125, 6124, 6565, 6587, 6146, 6145, 6586
5574, 6567, 6126, 6125, 6566, 6588, 6147, 6146, 6587
5575, 6568, 6127, 6126, 6567, 6589, 6148, 6147, 6588
5576, 6569, 6128, 6127, 6568, 6590, 6149, 6148, 6589
5577, 6570, 6129, 6128, 6569, 6591, 6150, 6149, 6590
5578, 6571, 6130, 6129, 6570, 6592, 6151, 6150, 6591
5579, 6572, 6131, 6130, 6571, 6593, 6152, 6151, 6592
5580, 6573, 6132, 6131, 6572, 6594, 6153, 6152, 6593
5581, 6575, 6134, 6133, 6574, 6596, 6155, 6154, 6595
5582, 6576, 6135, 6134, 6575, 6597, 6156, 6155, 6596
5583, 6577, 6136, 6135, 6576, 6598, 6157, 6156, 6597
5584, 6578, 6137, 6136, 6577, 6599, 6158, 6157, 6598
5585, 6579, 6138, 6137, 6578, 6600, 6159, 6158, 6599
5586, 6580, 6139, 6138, 6579, 6601, 6160, 6159, 6600
5587, 6581, 6140, 6139, 6580, 6602, 6161, 6160, 6601
5588, 6582, 6141, 6140, 6581, 6603, 6162, 6161, 6602
5589, 6583, 6142, 6141, 6582, 6604, 6163, 6162, 6603
5590, 6584, 6143, 6142, 6583, 6605, 6164, 6163, 6604
5591, 6585, 6144, 6143, 6584, 6606, 6165, 6164, 6605
5592, 6586, 6145, 6144, 6585, 6607, 6166, 6165, 6606
5593, 6587, 6146, 6145, 6586, 6608, 6167, 6166, 6607
5594, 6588, 6147, 6146, 6587, 6609, 6168, 6167, 6608
5595, 6589, 6148, 6147, 6588, 6610, 6169, 6168, 6609
5596, 6590, 6149, 6148, 6589, 6611, 6170, 6169, 6610
5597, 6591, 6150, 6149, 6590, 6612, 6171, 6170, 6611
5598, 6592, 6151, 6150, 6591, 6613, 6172, 6171, 6612
5599, 6593, 6152, 6151, 6592, 6614, 6173, 6172, 6613
5600, 6594, 6153, 6152, 6593, 6615, 6174, 6173, 6614
5601, 6617, 6176, 6175, 6616, 6638, 6197, 6196, 6637
5602, 6618, 6177, 6176, 6617, 6639, 6198, 6197, 6638
5603, 6619, 6178, 6177, 6618, 6640, 6199, 6198, 6639
5604, 6620, 6179, 6178, 6619, 6641, 6200, 6199, 6640
5605, 6621, 6180, 6179, 6620, 6642, 6201, 6200, 6641
5606, 6622, 6181, 6180, 6621, 6643, 6202, 6201, 6642
5607, 6623, 6182, 6181, 6622, 6644, 6203, 6202, 6643
5608, 6624, 6183, 6182, 6623, 6645, 6204, 6203, 6644
5609, 6625, 6184, 6183, 6624, 6646, 6205, 6204, 6645
5610, 6626, 6185, 6184, 6625, 6647, 6206, 6205, 6646
5611, 6627, 6186, 6185, 6626, 6648, 6207, 6206, 6647
5612, 6628, 6187, 6186, 6627, 6649, 6208, 6207, 6648
5613, 6629, 6188, 6187, 6628, 6650, 6209, 6208, 6649
5614, 6630, 6189, 6188, 6629, 6651, 6210, 6209, 6650
5615, 6631, 6190, 6189, 6630, 6652, 6211, 6210, 6651
5616, 6632, 6191, 6190, 6631, 6653, 6212, 6211, 6652
5617, 6633, 6192, 6191, 6632, 6654, 6213, 6212, 6653
5618, 6634, 6193, 6192, 6633, 6655, 6214, 6213, 6654
5619, 6635, 6194, 6193, 6634, 6656, 6215, 6214, 6655
5620, 6636, 6195, 6194, 6635, 6657, 6216, 6215, 6656
5621, 6638, 6197, 6196, 6637, 6659, 6218, 6217, 6658
5622, 6639, 6198, 6197, 6638, 6660, 6219, 6218, 6659
5623, 6640, 6199, 6198, 6639, 6661, 6220, 6219, 6660
5624, 6641, 6200, 6199, 6640, 6662, 6221, 6220, 6661
5625, 6642, 6201, 6200, 6641, 6663, 6222, 6221, 6662
5626, 6643, 6202, 6201, 6642, 6664, 6223, 6222, 6663
5627, 6644, 6203, 6202, 6643, 6665, 6224, 6223, 6664
5628, 6645, 6204, 6203, 6644, 6666, 6225, 6224, 6665
5629, 6646, 6205, 6204, 6645, 6667, 6226, 6225, 6666
5630, 6647, 6206, 6205, 6646, 6668, 6227, 6226, 6667
5631, 6648, 6207, 6206, 6647, 6669, 6228, 6227, 6668
5632, 6649, 6208, 6207, 6648, 6670, 6229, 6228, 6669
5633, 6650, 6209, 6208, 6649, 6671, 6230, 6229, 6670
5634, 6651, 6210, 6209, 6650, 6672, 6231, 6230, 6671
5635, 6652, 6211, 6210, 6651, 6673, 6232, 6231, 6672
5636, 6653, 6212, 6211, 6652, 6674, 6233, 6232, 6673
5637, 6654, 6213, 6212, 6653, 6675, 6234, 6233, 6674
5638, 6655, 6214, 6213, 6654, 6676, 6235, 6234, 6675
5639, 6656, 6215, 6214, 6655, 6677, 6236, 6235, 6676
5640, 6657, 6216, 6215, 6656, 6678, 6237, 6236, 6677
5641, 6659, 6218, 6217, 6658, 6680, 6239, 6238, 6679
5642, 6660, 6219, 6218, 6659, 6681, 6240, 6239, 6680
5643, 6661, 6220, 6219, 6660, 6682, 6241, 6240, 6681
5644, 6662, 6221, 6220, 6661, 6683, 6242, 6241, 6682
5645, 6663, 6222, 6221, 6662, 6684, 6243, 6242, 6683
5646, 6664, 6223, 6222, 6663, 6685, 6244, 6243, 6684
5647, 6665, 6224, 6223, 6664, 6686, 6245, 6244, 6685
5648, 6666, 6225, 6224, 6665, 6687, 6246, 6245, 6686
5649, 6667, 6226, 6225, 6666, 6688, 6247, 6246, 6687
5650, 6668, 6227, 6226, 6667, 6689, 6248, 6247, 6688
5651, 6669, 6228, 6227, 6668, 6690, 6249, 6248, 6689
5652, 6670, 6229, 6228, 6669, 6691, 6250, 6249, 6690
5653, 6671, 6230, 6229, 6670, 6692, 6251, 6250, 6691
5654, 6672, 6231, 6230, 6671, 6693, 6252, 6251, 6692
5655, 6673, 6232, 6231, 6672, 6694, 6253, 6252, 6693
5656, 6674, 6233, 6232, 6673, 6695, 6254, 6253, 6694
5657, 6675, 6234, 6233, 6674, 6696, 6255, 6254, 6695
5658, 6676, 6235, 6234, 6675, 6697, 6256, 6255, 6696
5659, 6677, 6236, 6235, 6676, 6698, 6257, 6256, 6697
5660, 6678, 6237, 6236, 6677, 6699, 6258, 6257, 6698
5661, 6680, 6239, 6238, 6679, 6701, 6260, 6259, 6700
5662, 6681, 6240, 6239, 6680, 6702, 6261, 6260, 6701
5663, 6682, 6241, 6240, 6681, 6703, 6262, 6261, 6702
5664, 6683, 6242, 6241, 6682, 6704, 6263, 6262, 6703
5665, 6684, 6243, 6242, 6683, 6705, 6264, 6263, 6704
5666, 6685, 6244, 6243, 6684, 6706, 6265, 6264, 6705
5667, 6686, 6245, 6244, 6685, 6707, 6266, 6265, 6706
5668, 6687, 6246, 6245, 6686, 6708, 6267, 6266, 6707
5669, 6688, 6247, 6246, 6687, 6709, 6268, 6267, 6708
5670, 6689, 6248, 6247, 6688, 6710, 6269, 6268, 6709
5671, 6690, 6249, 6248, 6689, 6711, 6270, 6269, 6710
5672, 6691, 6250, 6249, 6690, 6712, 6271, 6270, 6711
5673, 6692, 6251, 6250, 6691, 6713, 6272, 6271, 6712
5674, 6693, 6252, 6251, 6692, 6714, 6273, 6272, 6713
5675, 6694, 6253, 6252, 6693, 6715, 6274, 6273, 6714
5676, 6695, 6254, 6253, 6694, 6716, 6275, 6274, 6715
5677, 6696, 6255, 6254, 6695, 6717, 6276, 6275, 6716
5678, 6697, 6256, 6255, 6696, 6718, 6277, 6276, 6717
5679, 6698, 6257, 6256, 6697, 6719, 6278, 6277, 6718
5680, 6699, 6258, 6257, 6698, 6720, 6279, 6278, 6719
5681, 6701, 6260, 6259, 6700, 6722, 6281, 6280, 6721
5682, 6702, 6261, 6260, 6701, 6723, 6282, 6281, 6722
5683, 6703, 6262, 6261, 6702, 6724, 6283, 6282, 6723
5684, 6704, 6263, 6262, 6703, 6725, 6284, 6283, 6724
5685, 6705, 6264, 6263, 6704, 6726, 6285, 6284, 6725
5686, 6706, 6265, 6264, 6705, 6727, 6286, 6285, 6726
5687, 6707, 6266, 6265, 6706, 6728, 6287, 6286, 6727
5688, 6708, 6267, 6266, 6707, 6729, 6288, 6287, 6728
5689, 6709, 6268, 6267, 6708, 6730, 6289, 6288, 6729
5690, 6710, 6269, 6268, 6709, 6731, 6290, 6289, 6730
5691, 6711, 6270, 6269, 6710, 6732, 6291, 6290, 6731
5692, 6712, 6271, 6270, 6711, 6733, 6292, 6291, 6732
5693, 6713, 6272, 6271, 6712, 6734, 6293, 6292, 6733
5694, 6714, 6273, 6272, 6713, 6735, 6294, 6293, 6734
5695, 6715, 6274, 6273, 6714, 6736, 6295, 6294, 6735
5696, 6716, 6275, 6274, 6715, 6737, 6296, 6295, 6736
5697, 6717, 6276, 6275, 6716, 6738, 6297, 6296, 6737
5698, 6718, 6277, 6276, 6717, 6739, 6298, 6297, 6738
5699, 6719, 6278, 6277, 6718, 6740, 6299, 6298, 6739
5700, 6720, 6279, 6278, 6719, 6741, 6300, 6299, 6740
5701, 6722, 6281, 6280, 6721, 6743, 6302, 6301, 6742
5702, 6723, 6282, 6281, 6722, 6744, 6303, 6302, 6743
5703, 6724, 6283, 6282, 6723, 6745, 6304, 6303, 6744
5704, 6725, 6284, 6283, 6724, 6746, 6305, 6304, 6745
5705, 6726, 6285, 6284, 6725, 6747, 6306, 6305, 6746
5706, 6727, 6286, 6285, 6726, 6748, 6307, 6306, 6747
5707, 6728, 6287, 6286, 6727, 6749, 6308, 6307, 6748
5708, 6729, 6288, 6287, 6728, 6750, 6309, 6308, 6749
5709, 6730, 6289, 6288, 6729, 6751, 6310, 6309, 6750
5710, 6731, 6290, 6289, 6730, 6752, 6311, 6310, 6751
5711, 6732, 6291, 6290, 6731, 6753, 6312, 6311, 6752
5712, 6733, 6292, 6291, 6732, 6754, 6313, 6312, 6753
5713, 6734, 6293, 6292, 6733, 6755, 6314, 6313, 6754
5714, 6735, 6294, 6293, 6734, 6756, 6315, 6314, 6755
5715, 6736, 6295, 6294, 6735, 6757, 6316, 6315, 6756
5716, 6737, 6296, 6295, 6736, 6758, 6317, 6316, 6757
5717, 6738, 6297, 6296, 6737, 6759, 6318, 6317, 6758
5718, 6739, 6298, 6297, 6738, 6760, 6319, 6318, 6759
5719, 6740, 6299, 6298, 6739, 6761, 6320, 6319, 6760
5720, 6741, 6300, 6299, 6740, 6762, 6321, 6320, 6761
5721, 6743, 6302, 6301, 6742, 6764, 6323, 6322, 6763
5722, 6744, 6303, 6302, 6743, 6765, 6324, 6323, 6764
5723, 6745, 6304, 6303, 6744, 6766, 6325, 6324, 6765
5724, 6746, 6305, 6304, 6745, 6767, 6326, 6325, 6766
5725, 6747, 6306, 6305, 6746, 6768, 6327, 6326, 6767
5726, 6748, 6307, 6306, 6747, 6769, 6328, 6327, 6768
5727, 6749, 6308, 6307, 6748, 6770, 6329, 6328, 6769
5728, 6750, 6309, 6308, 6749, 6771, 6330, 6329, 6770
5729, 6751, 6310, 6309, 6750, 6772, 6331, 6330, 6771
5730, 6752, 6311, 6310, 6751, 6773, 6332, 6331, 6772
5731, 6753, 6312, 6311, 6752, 6774, 6333, 6332, 6773
5732, 6754, 6313, 6312, 6753, 6775, 6334, 6333, 6774
5733, 6755, 6314, 6313, 6754, 6776, 6335, 6334, 6775
5734, 6756, 6315, 6314, 6755, 6777, 6336, 6335, 6776
5735, 6757, 6316, 6315, 6756, 6778, 6337, 6336, 6777
5736, 6758, 6317, 6316, 6757, 6779, 6338, 6337, 6778
5737, 6759, 6318, 6317, 6758, 6780, 6339, 6338, 6779
5738, 6760, 6319, 6318, 6759, 6781, 6340, 6339, 6780
5739, 6761, 6320, 6319, 6760, 6782, 6341, 6340, 6781
5740, 6762, 6321, 6320, 6761, 6783, 6342, 6341, 6782
5741, 6764, 6323, 6322, 6763, 6785, 6344, 6343, 6784
5742, 6765, 6324, 6323, 6764, 6786, 6345, 6344, 6785
5743, 6766, 6325, 6324, 6765, 6787, 6346, 6345, 6786
5744, 6767, 6326, 6325, 6766, 6788, 6347, 6346, 6787
5745, 6768, 6327, 6326, 6767, 6789, 6348, 6347, 6788
5746, 6769, 6328, 6327, 6768, 6790, 6349, 6348, 6789
5747, 6770, 6329, 6328, 6769, 6791, 6350, 6349, 6790
5748, 6771, 6330, 6329, 6770, 6792, 6351, 6350, 6791
5749, 6772, 6331, 6330, 6771, 6793, 6352, 6351, 6792
5750, 6773, 6332, 6331, 6772, 6794, 6353, 6352, 6793
5751, 6774, 6333, 6332, 6773, 6795, 6354, 6353, 6794
5752, 6775, 6334, 6333, 6774, 6796, 6355, 6354, 6795
5753, 6776, 6335, 6334, 6775, 6797, 6356, 6355, 6796
5754, 6777, 6336, 6335, 6776, 6798, 6357, 6356, 6797
5755, 6778, 6337, 6336, 6777, 6799, 6358, 6357, 6798
5756, 6779, 6338, 6337, 6778, 6800, 6359, 6358, 6799
5757, 6780, 6339, 6338, 6779, 6801, 6360, 6359, 6800
5758, 6781, 6340, 6339, 6780, 6802, 6361, 6360, 6801
5759, 6782, 6341, 6340, 6781, 6803, 6362, 6361, 6802
5760, 6783, 6342, 6341, 6782, 6804, 6363, 6362, 6803
5761, 6785, 6344, 6343, 6784, 6806, 6365, 6364, 6805
5762, 6786, 6345, 6344, 6785, 6807, 6366, 6365, 6806
5763, 6787, 6346, 6345, 6786, 6808, 6367, 6366, 6807
5764, 6788, 6347, 6346, 6787, 6809, 6368, 6367, 6808
5765, 6789, 6348, 6347, 6788, 6810, 6369, 6368, 6809
5766, 6790, 6349, 6348, 6789, 6811, 6370, 6369, 6810
5767, 6791, 6350, 6349, 6790, 6812, 6371, 6370, 6811
5768, 6792, 6351, 6350, 6791, 6813, 6372, 6371, 6812
5769, 6793, 6352, 6351, 6792, 6814, 6373, 6372, 6813
5770, 6794, 6353, 6352, 6793, 6815, 6374, 6373, 6814
5771, 6795, 6354, 6353, 6794, 6816, 6375, 6374, 6815
5772, 6796, 6355, 6354, 6795, 6817, 6376, 6375, 6816
5773, 6797, 6356, 6355, 6796, 6818, 6377, 6376, 6817
5774, 6798, 6357, 6356, 6797, 6819, 6378, 6377, 6818
5775, 6799, 6358, 6357, 6798, 6820, 6379, 6378, 6819
5776, 6800, 6359, 6358, 6799, 6821, 6380, 6379, 6820
5777, 6801, 6360, 6359, 6800, 6822, 6381, 6380, 6821
5778, 6802, 6361, 6360, 6801, 6823, 6382, 6381, 6822
5779, 6803, 6362, 6361, 6802, 6824, 6383, 6382, 6823
5780, 6804, 6363, 6362, 6803, 6825, 6384, 6383, 6824
5781, 6806, 6365, 6364, 6805, 6827, 6386, 6385, 6826
5782, 6807, 6366, 6365, 6806, 6828, 6387, 6386, 6827
5783, 6808, 6367, 6366, 6807, 6829, 6388, 6387, 6828
5784, 6809, 6368, 6367, 6808, 6830, 6389, 6388, 6829
5785, 6810, 6369, 6368, 6809, 6831, 6390, 6389, 6830
5786, 6811, 6370, 6369, 6810, 6832, 6391, 6390, 6831
5787, 6812, 6371, 6370, 6811, 6833, 6392, 6391, 6832
5788, 6813, 6372, 6371, 6812, 6834, 6393, 6392, 6833
5789, 6814, 6373, 6372, 6813, 6835, 6394, 6393, 6834
5790, 6815, 6374, 6373, 6814, 6836, 6395, 6394, 6835
5791, 6816, 6375, 6374, 6815, 6837, 6396, 6395, 6836
5792, 6817, 6376, 6375, 6816, 6838, 6397, 6396, 6837
5793, 6818, 6377, 6376, 6817, 6839, 6398, 6397, 6838
5794, 6819, 6378, 6377, 6818, 6840, 6399, 6398, 6839
5795, 6820, 6379, 6378, 6819, 6841, 6400, 6399, 6840
5796, 6821, 6380, 6379, 6820, 6842, 6401, 6400, 6841
5797, 6822, 6381, 6380, 6821, 6843, 6402, 6401, 6842
5798, 6823, 6382, 6381, 6822, 6844, 6403, 6402, 6843
5799, 6824, 6383, 6382, 6823, 6845, 6404, 6403, 6844
5800, 6825, 6384, 6383, 6824, 6846, 6405, 6404, 6845
5801, 6827, 6386, 6385, 6826, 6848, 6407, 6406, 6847
5802, 6828, 6387, 6386, 6827, 6849, 6408, 6407, 6848
5803, 6829, 6388, 6387, 6828, 6850, 6409, 6408, 6849
5804, 6830, 6389, 6388, 6829, 6851, 6410, 6409, 6850
5805, 6831, 6390, 6389, 6830, 6852, 6411, 6410, 6851
5806, 6832, 6391, 6390, 6831, 6853, 6412, 6411, 6852
5807, 6833, 6392, 6391, 6832, 6854, 6413, 6412, 6853
5808, 6834, 6393, 6392, 6833, 6855, 6414, 6413, 6854
5809, 6835, 6394, 6393, 6834, 6856, 6415, 6414, 6855
5810, 6836, 6395, 6394, 6835, 6857, 6416, 6415, 6856
5811, 6837, 6396, 6395, 6836, 6858, 6417, 6416, 6857
5812, 6838, 6397, 6396, 6837, 6859, 6418, 6417, 6858
5813, 6839, 6398, 6397, 6838, 6860, 6419, 6418, 6859
5814, 6840, 6399, 6398, 6839, 6861, 6420, 6419, 6860
5815, 6841, 6400, 6399, 6840, 6862, 6421, 6420, 6861
5816, 6842, 6401, 6400, 6841, 6863, 6422, 6421, 6862
5817, 6843, 6402, 6401, 6842, 6864, 6423, 6422, 6863
5818, 6844, 6403, 6402, 6843, 6865, 6424, 6423, 6864
5819, 6845, 6404, 6403, 6844, 6866, 6425, 6424, 6865
5820, 6846, 6405, 6404, 6845, 6867, 6426, 6425, 6866
5821, 6848, 6407, 6406, 6847, 6869, 6428, 6427, 6868
5822, 6849, 6408, 6407, 6848, 6870, 6429, 6428, 6869
5823, 6850, 6409, 6408, 6849, 6871, 6430, 6429, 6870
5824, 6851, 6410, 6409, 6850, 6872, 6431, 6430, 6871
5825, 6852, 6411, 6410, 6851, 6873, 6432, 6431, 6872
5826, 6853, 6412, 6411, 6852, 6874, 6433, 6432, 6873
5827, 6854, 6413, 6412, 6853, 6875, 6434, 6433, 6874
5828, 6855, 6414, 6413, 6854, 6876, 6435, 6434, 6875
5829, 6856, 6415, 6414, 6855, 6877, 6436, 6435, 6876
5830, 6857, 6416, 6415, 6856, 6878, 6437, 6436, 6877
5831, 6858, 6417, 6416, 6857, 6879, 6438, 6437, 6878
5832, 6859, 6418, 6417, 6858, 6880, 6439, 6438, 6879
5833, 6860, 6419, 6418, 6859, 6881, 6440, 6439, 6880
5834, 6861, 6420, 6419, 6860, 6882, 6441, 6440, 6881
5835, 6862, 6421, 6420, 6861, 6883, 6442, 6441, 6882
5836, 6863, 6422, 6421, 6862, 6884, 6443, 6442, 6883
5837, 6864, 6423, 6422, 6863, 6885, 6444, 6443, 6884
5838, 6865, 6424, 6423, 6864, 6886, 6445, 6444, 6885
5839, 6866, 6425, 6424, 6865, 6887, 6446, 6445, 6886
5840, 6867, 6426, 6425, 6866, 6888, 6447, 6446, 6887
5841, 6869, 6428, 6427, 6868, 6890, 6449, 6448, 6889
5842, 6870, 6429, 6428, 6869, 6891, 6450, 6449, 6890
5843, 6871, 6430, 6429, 6870, 6892, 6451, 6450, 6891
5844, 6872, 6431, 6430, 6871, 6893, 6452, 6451, 6892
5845, 6873, 6432, 6431, 6872, 6894, 6453, 6452, 6893
5846, 6874, 6433, 6432, 6873, 6895, 6454, 6453, 6894
5847, 6875, 6434, 6433, 6874, 6896, 6455, 6454, 6895
5848, 6876, 6435, 6434, 6875, 6897, 6456, 6455, 6896
5849, 6877, 6436, 6435, 6876, 6898, 6457, 6456, 6897
5850, 6878, 6437, 6436, 6877, 6899, 6458, 6457, 6898
5851, 6879, 6438, 6437, 6878, 6900, 6459, 6458, 6899
5852, 6880, 6439, 6438, 6879, 6901, 6460, 6459, 6900
5853, 6881, 6440, 6439, 6880, 6902, 6461, 6460, 6901
5854, 6882, 6441, 6440, 6881, 6903, 6462, 6461, 6902
5855, 6883, 6442, 6441, 6882, 6904, 6463, 6462, 6903
5856, 6884, 6443, 6442, 6883, 6905, 6464, 6463, 6904
5857, 6885, 6444, 6443, 6884, 6906, 6465, 6464, 6905
5858, 6886, 6445, 6444, 6885, 6907, 6466, 6465, 6906
5859, 6887, 6446, 6445, 6886, 6908, 6467, 6466, 6907
5860, 6888, 6447, 6446, 6887, 6909, 6468, 6467, 6908
5861, 6890, 6449, 6448, 6889, 6911, 6470, 6469, 6910
5862, 6891, 6450, 6449, 6890, 6912, 6471, 6470, 6911
5863, 6892, 6451, 6450, 6891, 6913, 6472, 6471, 6912
5864, 6893, 6452, 6451, 6892, 6914, 6473, 6472, 6913
5865, 6894, 6453, 6452, 6893, 6915, 6474, 6473, 6914
5866, 6895, 6454, 6453, 6894, 6916, 6475, 6474, 6915
5867, 6896, 6455, 6454, 6895, 6917, 6476, 6475, 6916
5868, 6897, 6456, 6455, 6896, 6918, 6477, 6476, 6917
5869, 6898, 6457, 6456, 6897, 6919, 6478, 6477, 6918
5870, 6899, 6458, 6457, 6898, 6920, 6479, 6478, 6919
5871, 6900, 6459, 6458, 6899, 6921, 6480, 6479, 6920
5872, 6901, 6460, 6459, 6900, 6922, 6481, 6480, 6921
5873, 6902, 6461, 6460, 6901, 6923, 6482, 6481, 6922
5874, 6903, 6462, 6461, 6902, 6924, 6483, 6482, 6923
5875, 6904, 6463, 6462, 6903, 6925, 6484, 6483, 6924
5876, 6905, 6464, 6463, 6904, 6926, 6485, 6484, 6925
5877, 6906, 6465, 6464, 6905, 6927, 6486, 6485, 6926
5878, 6907, 6466, 6465, 6906, 6928, 6487, 6486, 6927
5879, 6908, 6467, 6466, 6907, 6929, 6488, 6487, 6928
5880, 6909, 6468, 6467, 6908, 6930, 6489, 6488, 6929
5881, 6911, 6470, 6469, 6910, 6932, 6491, 6490, 6931
5882, 6912, 6471, 6470, 6911, 6933, 6492, 6491, 6932
5883, 6913, 6472, 6471, 6912, 6934, 6493, 6492, 6933
5884, 6914, 6473, 6472, 6913, 6935, 6494, 6493, 6934
5885, 6915, 6474, 6473, 6914, 6936, 6495, 6494, 6935
5886, 6916, 6475, 6474, 6915, 6937, 6496, 6495, 6936
5887, 6917, 6476, 6475, 6916, 6938, 6497, 6496, 6937
5888, 6918, 6477, 6476, 6917, 6939, 6498, 6497, 6938
5889, 6919, 6478, 6477, 6918, 6940, 6499, 6498, 6939
5890, 6920, 6479, 6478, 6919, 6941, 6500, 6499, 6940
5891, 6921, 6480, 6479, 6920, 6942, 6501, 6500, 6941
5892, 6922, 6481, 6480, 6921, 6943, 6502, 6501, 6942
5893, 6923, 6482, 6481, 6922, 6944, 6503, 6502, 6943
5894, 6924, 6483, 6482, 6923, 6945, 6504, 6503, 6944
5895, 6925, 6484, 6483, 6924, 6946, 6505, 6504, 6945
5896, 6926, 6485, 6484, 6925, 6947, 6506, 6505, 6946
5897, 6927, 6486, 6485, 6926, 6948, 6507, 6506, 6947
5898, 6928, 6487, 6486, 6927, 6949, 6508, 6507, 6948
5899, 6929, 6488, 6487, 6928, 6950, 6509, 6508, 6949
5900, 6930, 6489, 6488, 6929, 6951, 6510, 6509, 6950
5901, 6932, 6491, 6490, 6931, 6953, 6512, 6511, 6952
5902, 6933, 6492, 6491, 6932, 6954, 6513, 6512, 6953
5903, 6934, 6493, 6492, 6933, 6955, 6514, 6513, 6954
5904, 6935, 6494, 6493, 6934, 6956, 6515, 6514, 6955
5905, 6936, 6495, 6494, 6935, 6957, 6516, 6515, 6956
5906, 6937, 6496, 6495, 6936, 6958, 6517, 6516, 6957
5907, 6938, 6497, 6496, 6937, 6959, 6518, 6517, 6958
5908, 6939, 6498, 6497, 6938, 6960, 6519, 6518, 6959
5909, 6940, 6499, 6498, 6939, 6961, 6520, 6519, 6960
5910, 6941, 6500, 6499, 6940, 6962, 6521, 6520, 6961
5911, 6942, 6501, 6500, 6941, 6963, 6522, 6521, 6962
5912, 6943, 6502, 6501, 6942, 6964, 6523, 6522, 6963
5913, 6944, 6503, 6502, 6943, 6965, 6524, 6523, 6964
5914, 6945, 6504, 6503, 6944, 6966, 6525, 6524, 6965
5915, 6946, 6505, 6504, 6945, 6967, 6526, 6525, 6966
5916, 6947, 6506, 6505, 6946, 6968, 6527, 6526, 6967
5917, 6948, 6507, 6506, 6947, 6969, 6528, 6527, 6968
5918, 6949, 6508, 6507, 6948, 6970, 6529, 6528, 6969
5919, 6950, 6509, 6508, 6949, 6971, 6530, 6529, 6970
5920, 6951, 6510, 6509, 6950, 6972, 6531, 6530, 6971
5921, 6953, 6512, 6511, 6952, 6974, 6533, 6532, 6973
5922, 6954, 6513, 6512, 6953, 6975, 6534, 6533, 6974
5923, 6955, 6514, 6513, 6954, 6976, 6535, 6534, 6975
5924, 6956, 6515, 6514, 6955, 6977, 6536, 6535, 6976
5925, 6957, 6516, 6515, 6956, 6978, 6537, 6536, 6977
5926, 6958, 6517, 6516, 6957, 6979, 6538, 6537, 6978
5927, 6959, 6518, 6517, 6958, 6980, 6539, 6538, 6979
5928, 6960, 6519, 6518, 6959, 6981, 6540, 6539, 6980
5929, 6961, 6520, 6519, 6960, 6982, 6541, 6540, 6981
5930, 6962, 6521, 6520, 6961, 6983, 6542, 6541, 6982
5931, 6963, 6522, 6521, 6962, 6984, 6543, 6542, 6983
5932, 6964, 6523, 6522, 6963, 6985, 6544, 6543, 6984
5933, 6965, 6524, 6523, 6964, 6986, 6545, 6544, 6985
5934, 6966, 6525, 6524, 6965, 6987, 6546, 6545, 6986
5935, 6967, 6526, 6525, 6966, 6988, 6547, 6546, 6987
5936, 6968, 6527, 6526, 6967, 6989, 6548, 6547, 6988
5937, 6969, 6528, 6527, 6968, 6990, 6549, 6548, 6989
5938, 6970, 6529, 6528, 6969, 6991, 6550, 6549, 6990
5939, 6971, 6530, 6529, 6970, 6992, 6551, 6550, 6991
5940, 6972, 6531, 6530, 6971, 6993, 6552, 6551, 6992
5941, 6974, 6533, 6532, 6973, 6995, 6554, 6553, 6994
5942, 6975, 6534, 6533, 6974, 6996, 6555, 6554, 6995
5943, 6976, 6535, 6534, 6975, 6997, 6556, 6555, 6996
5944, 6977, 6536, 6535, 6976, 6998, 6557, 6556, 6997
5945, 6978, 6537, 6536, 6977, 6999, 6558, 6557, 6998
5946, 6979, 6538, 6537, 6978, 7000, 6559, 6558, 6999
5947, 6980, 6539, 6538, 6979, 7001, 6560, 6559, 7000
5948, 6981, 6540, 6539, 6980, 7002, 6561, 6560, 7001
5949, 6982, 6541, 6540, 6981, 7003, 6562, 6561, 7002
5950, 6983, 6542, 6541, 6982, 7004, 6563, 6562, 7003
5951, 6984, 6543, 6542, 6983, 7005, 6564, 6563, 7004
5952, 6985, 6544, 6543, 6984, 7006, 6565, 6564, 7005
5953, 6986, 6545, 6544, 6985, 7007, 6566, 6565, 7006
5954, 6987, 6546, 6545, 6986, 7008, 6567, 6566, 7007
5955, 6988, 6547, 6546, 6987, 7009, 6568, 6567, 7008
5956, 6989, 6548, 6547, 6988, 7010, 6569, 6568, 7009
5957, 6990, 6549, 6548, 6989, 7011, 6570, 6569, 7010
5958, 6991, 6550, 6549, 6990, 7012, 6571, 6570, 7011
5959, 6992, 6551, 6550, 6991, 7013, 6572, 6571, 7012
5960, 6993, 6552, 6551, 6992, 7014, 6573, 6572, 7013
5961, 6995, 6554, 6553, 6994, 7016, 6575, 6574, 7015
5962, 6996, 6555, 6554, 6995, 7017, 6576, 6575, 7016
5963, 6997, 6556, 6555, 6996, 7018, 6577, 6576, 7017
5964, 6998, 6557, 6556, 6997, 7019, 6578, 6577, 7018
5965, 6999, 6558, 6557, 6998, 7020, 6579, 6578, 7019
5966, 7000, 6559, 6558, 6999, 7021, 6580, 6579, 7020
5967, 7001, 6560, 6559, 7000, 7022, 6581, 6580, 7021
5968, 7002, 6561, 6560, 7001, 7023, 6582, 6581, 7022
5969, 7003, 6562, 6561, 7002, 7024, 6583, 6582, 7023
5970, 7004, 6563, 6562, 7003, 7025, 6584, 6583, 7024
5971, 7005, 6564, 6563, 7004, 7026, 6585, 6584, 7025
5972, 7006, 6565, 6564, 7005, 7027, 6586, 6585, 7026
5973, 7007, 6566, 6565, 7006, 7028, 6587, 6586, 7027
5974, 7008, 6567, 6566, 7007, 7029, 6588, 6587, 7028
5975, 7009, 6568, 6567, 7008, 7030, 6589, 6588, 7029
5976, 7010, 6569, 6568, 7009, 7031, 6590, 6589, 7030
5977, 7011, 6570, 6569, 7010, 7032, 6591, 6590, 7031
5978, 7012, 6571, 6570, 7011, 7033, 6592, 6591, 7032
5979, 7013, 6572, 6571, 7012, 7034, 6593, 6592, 7033
5980, 7014, 6573, 6572, 7013, 7035, 6594, 6593, 7034
5981, 7016, 6575, 6574, 7015, 7037, 6596, 6595, 7036
5982, 7017, 6576, 6575, 7016, 7038, 6597, 6596, 7037
5983, 7018, 6577, 6576, 7017, 7039, 6598, 6597, 7038
5984, 7019, 6578, 6577, 7018, 7040, 6599, 6598, 7039
5985, 7020, 6579, 6578, 7019, 7041, 6600, 6599, 7040
5986, 7021, 6580, 6579, 7020, 7042, 6601, 6600, 7041
5987, 7022, 6581, 6580, 7021, 7043, 6602, 6601, 7042
5988, 7023, 6582, 6581, 7022, 7044, 6603, 6602, 7043
5989, 7024, 6583, 6582, 7023, 7045, 6604, 6603, 7044
5990, 7025, 6584, 6583, 7024, 7046, 6605, 6604, 7045
5991, 7026, 6585, 6584, 7025, 7047, 6606, 6605, 7046
5992, 7027, 6586, 6585, 7026, 7048, 6607, 6606, 7047
5993, 7028, 6587, 6586, 7027, 7049, 6608, 6607, 7048
5994, 7029, 6588, 6587, 7028, 7050, 6609, 6608, 7049
5995, 7030, 6589, 6588, 7029, 7051, 6610, 6609, 7050
5996, 7031, 6590, 6589, 7030, 7052, 6611, 6610, 7051
5997, 7032, 6591, 6590, 7031, 7053, 6612, 6611, 7052
5998, 7033, 6592, 6591, 7032, 7054, 6613, 6612, 7053
5999, 7034, 6593, 6592, 7033, 7055, 6614, 6613, 7054
6000, 7035, 6594, 6593, 7034, 7056, 6615, 6614, 7055
6001, 7058, 6617, 6616, 7057, 7079, 6638, 6637, 7078
6002, 7059, 6618, 6617, 7058, 7080, 6639, 6638, 7079
6003, 7060, 6619, 6618, 7059, 7081, 6640, 6639, 7080
6004, 7061, 6620, 6619, 7060, 7082, 6641, 6640, 7081
6005, 7062, 6621, 6620, 7061, 7083, 6642, 6641, 7082
6006, 7063, 6622, 6621, 7062, 7084, 6643, 6642, 7083
6007, 7064, 6623, 6622, 7063, 7085, 6644, 6643, 7084
6008, 7065, 6624, 6623, 7064, 7086, 6645, 6644, 7085
6009, 7066, 6625, 6624, 7065, 7087, 6646, 6645, 7086
6010, 7067, 6626, 6625, 7066, 7088, 6647, 6646, 7087
6011, 7068, 6627, 6626, 7067, 7089, 6648, 6647, 7088
6012, 7069, 6628, 6627, 7068, 7090, 6649, 6648, 7089
6013, 7070, 6629, 6628, 7069, 7091, 6650, 6649, 7090
6014, 7071, 6630, 6629, 7070, 7092, 6651, 6650, 7091
6015, 7072, 6631, 6630, 7071, 7093, 6652, 6651, 7092
6016, 7073, 6632, 6631, 7072, 7094, 6653, 6652, 7093
6017, 7074, 6633, 6632, 7073, 7095, 6654, 6653, 7094
6018, 7075, 6634, 6633, 7074, 7096, 6655, 6654, 7095
6019, 7076, 6635, 6634, 7075, 7097, 6656, 6655, 7096
6020, 7077, 6636, 6635, 7076, 7098, 6657, 6656, 7097
6021, 7079, 6638, 6637, 7078, 7100, 6659, 6658, 7099
6022, 7080, 6639, 6638, 7079, 7101, 6660, 6659, 7100
6023, 7081, 6640, 6639, 7080, 7102, 6661, 6660, 7101
6024, 7082, 6641, 6640, 7081, 7103, 6662, 6661, 7102
6025, 7083, 6642, 6641, 7082, 7104, 6663, 6662, 7103
6026, 7084, 6643, 6642, 7083, 7105, 6664, 6663, 7104
6027, 7085, 6644, 6643, 7084, 7106, 6665, 6664, 7105
6028, 7086, 6645, 6644, 7085, 7107, 6666, 6665, 7106
6029, 7087, 6646, 6645, 7086, 7108, 6667, 6666, 7107
6030, 7088, 6647, 6646, 7087, 7109, 6668, 6667, 7108
6031, 7089, 6648, 6647, 7088, 7110, 6669, 6668, 7109
6032, 7090, 6649, 6648, 7089, 7111, 6670, 6669, 7110
6033, 7091, 6650, 6649, 7090, 7112, 6671, 6670, 7111
6034, 7092, 6651, 6650, 7091, 7113, 6672, 6671, 7112
6035, 7093, 6652, 6651, 7092, 7114, 6673, 6672, 7113
6036, 7094, 6653, 6652, 7093, 7115, 6674, 6673, 7114
6037, 7095, 6654, 6653, 7094, 7116, 6675, 6674, 7115
6038, 7096, 6655, 6654, 7095, 7117, 6676, 6675, 7116
6039, 7097, 6656, 6655, 7096, 7118, 6677, 6676, 7117
6040, 7098, 6657, 6656, 7097, 7119, 6678, 6677, 7118
6041, 7100, 6659, 6658, 7099, 7121, 6680, 6679, 7120
6042, 7101, 6660, 6659, 7100, 7122, 6681, 6680, 7121
6043, 7102, 6661, 6660, 7101, 7123, 6682, 6681, 7122
6044, 7103, 6662, 6661, 7102, 7124, 6683, 6682, 7123
6045, 7104, 6663, 6662, 7103, 7125, 6684, 6683, 7124
6046, 7105, 6664, 6663, 7104, 7126, 6685, 6684, 7125
6047, 7106, 6665, 6664, 7105, 7127, 6686, 6685, 7126
6048, 7107, 6666, 6665, 7106, 7128, 6687, 6686, 7127
6049, 7108, 6667, 6666, 7107, 7129, 6688, 6687, 7128
6050, 7109, 6668, 6667, 7108, 7130, 6689, 6688, 7129
6051, 7110, 6669, 6668, 7109, 7131, 6690, 6689, 7130
6052, 7111, 6670, 6669, 7110, 7132, 6691, 6690, 7131
6053, 7112, 6671, 6670, 7111, 7133, 6692, 6691, 7132
6054, 7113, 6672, 6671, 7112, 7134, 6693, 6692, 7133
6055, 7114, 6673, 6672, 7113, 7135, 6694, 6693, 7134
6056, 7115, 6674, 6673, 7114, 7136, 6695, 6694, 7135
6057, 7116, 6675, 6674, 7115, 7137, 6696, 6695, 7136
6058, 7117, 6676, 6675, 7116, 7138, 6697, 6696, 7137
6059, 7118, 6677, 6676, 7117, 7139, 6698, 6697, 7138
6060, 7119, 6678, 6677, 7118, 7140, 6699, 6698, 7139
6061, 7121, 6680, 6679, 7120, 7142, 6701, 6700, 7141
6062, 7122, 6681, 6680, 7121, 7143, 6702, 6701, 7142
6063, 7123, 6682, 6681, 7122, 7144, 6703, 6702, 7143
6064, 7124, 6683, 6682, 7123, 7145, 6704, 6703, 7144
6065, 7125, 6684, 6683, 7124, 7146, 6705, 6704, 7145
6066, 7126, 6685, 6684, 7125, 7147, 6706, 6705, 7146
6067, 7127, 6686, 6685, 7126, 7148, 6707, 6706, 7147
6068, 7128, 6687, 6686, 7127, 7149, 6708, 6707, 7148
6069, 7129, 6688, 6687, 7128, 7150, 6709, 6708, 7149
6070, 7130, 6689, 6688, 7129, 7151, 6710, 6709, 7150
6071, 7131, 6690, 6689, 7130, 7152, 6711, 6710, 7151
6072, 7132, 6691, 6690, 7131, 7153, 6712, 6711, 7152
6073, 7133, 6692, 6691, 7132, 7154, 6713, 6712, 7153
6074, 7134, 6693, 6692, 7133, 7155, 6714, 6713, 7154
6075, 7135, 6694, 6693, 7134, 7156, 6715, 6714, 7155
6076, 7136, 6695, 6694, 7135, 7157, 6716, 6715, 7156
6077, 7137, 6696, 6695, 7136, 7158, 6717, 6716, 7157
6078, 7138, 6697, 6696, 7137, 7159, 6718, 6717, 7158
6079, 7139, 6698, 6697, 7138, 7160, 6719, 6718, 7159
6080, 7140, 6699, 6698, 7139, 7161, 6720, 6719, 7160
6081, 7142, 6701, 6700, 7141, 7163, 6722, 6721, 7162
6082, 7143, 6702, 6701, 7142, 7164, 6723, 6722, 7163
6083, 7144, 6703, 6702, 7143, 7165, 6724, 6723, 7164
6084, 7145, 6704, 6703, 7144, 7166, 6725, 6724, 7165
6085, 7146, 6705, 6704, 7145, 7167, 6726, 6725, 7166
6086, 7147, 6706, 6705, 7146, 7168, 6727, 6726, 7167
6087, 7148, 6707, 6706, 7147, 7169, 6728, 6727, 7168
6088, 7149, 6708, 6707, 7148, 7170, 6729, 6728, 7169
6089, 7150, 6709, 6708, 7149, 7171, 6730, 6729, 7170
6090, 7151, 6710, 6709, 7150, 7172, 6731, 6730, 7171
6091, 7152, 6711, 6710, 7151, 7173, 6732, 6731, 7172
6092, 7153, 6712, 6711, 7152, 7174, 6733, 6732, 7173
6093, 7154, 6713, 6712, 7153, 7175, 6734, 6733, 7174
6094, 7155, 6714, 6713, 7154, 7176, 6735, 6734, 7175
6095, 7156, 6715, 6714, 7155, 7177, 6736, 6735, 7176
6096, 7157, 6716, 6715, 7156, 7178, 6737, 6736, 7177
6097, 7158, 6717, 6716, 7157, 7179, 6738, 6737, 7178
6098, 7159, 6718, 6717, 7158, 7180, 6739, 6738, 7179
6099, 7160, 6719, 6718, 7159, 7181, 6740, 6739, 7180
6100, 7161, 6720, 6719, 7160, 7182, 6741, 6740, 7181
6101, 7163, 6722, 6721, 7162, 7184, 6743, 6742, 7183
6102, 7164, 6723, 6722, 7163, 7185, 6744, 6743, 7184
6103, 7165, 6724, 6723, 7164, 7186, 6745, 6744, 7185
6104, 7166, 6725, 6724, 7165, 7187, 6746, 6745, 7186
6105, 7167, 6726, 6725, 7166, 7188, 6747, 6746, 7187
6106, 7168, 6727, 6726, 7167, 7189, 6748, 6747, 7188
6107, 7169, 6728, 6727, 7168, 7190, 6749, 6748, 7189
6108, 7170, 6729, 6728, 7169, 7191, 6750, 6749, 7190
6109, 7171, 6730, 6729, 7170, 7192, 6751, 6750, 7191
6110, 7172, 6731, 6730, 7171, 7193, 6752, 6751, 7192
6111, 7173, 6732, 6731, 7172, 7194, 6753, 6752, 7193
6112, 7174, 6733, 6732, 7173, 7195, 6754, 6753, 7194
6113, 7175, 6734, 6733, 7174, 7196, 6755, 6754, 7195
6114, 7176, 6735, 6734, 7175, 7197, 6756, 6755, 7196
6115, 7177, 6736, 6735, 7176, 7198, 6757, 6756, 7197
6116, 7178, 6737, 6736, 7177, 7199, 6758, 6757, 7198
6117, 7179, 6738, 6737, 7178, 7200, 6759, 6758, 7199
6118, 7180, 6739, 6738, 7179, 7201, 6760, 6759, 7200
6119, 7181, 6740, 6739, 7180, 7202, 6761, 6760, 7201
6120, 7182, 6741, 6740, 7181, 7203, 6762, 6761, 7202
6121, 7184, 6743, 6742, 7183, 7205, 6764, 6763, 7204
6122, 7185, 6744, 6743, 7184, 7206, 6765, 6764, 7205
6123, 7186, 6745, 6744, 7185, 7207, 6766, 6765, 7206
6124, 7187, 6746, 6745, 7186, 7208, 6767, 6766, 7207
6125, 7188, 6747, 6746, 7187, 7209, 6768, 6767, 7208
6126, 7189, 6748, 6747, 7188, 7210, 6769, 6768, 7209
6127, 7190, 6749, 6748, 7189, 7211, 6770, 6769, 7210
6128, 7191, 6750, 6749, 7190, 7212, 6771, 6770, 7211
6129, 7192, 6751, 6750, 7191, 7213, 6772, 6771, 7212
6130, 7193, 6752, 6751, 7192, 7214, 6773, 6772, 7213
6131, 7194, 6753, 6752, 7193, 7215, 6774, 6773, 7214
6132, 7195, 6754, 6753, 7194, 7216, 6775, 6774, 7215
6133, 7196, 6755, 6754, 7195, 7217, 6776, 6775, 7216
6134, 7197, 6756, 6755, 7196, 7218, 6777, 6776, 7217
6135, 7198, 6757, 6756, 7197, 7219, 6778, 6777, 7218
6136, 7199, 6758, 6757, 7198, 7220, 6779, 6778, 7219
6137, 7200, 6759, 6758, 7199, 7221, 6780, 6779, 7220
6138, 7201, 6760, 6759, 7200, 7222, 6781, 6780, 7221
6139, 7202, 6761, 6760, 7201, 7223, 6782, 6781, 7222
6140, 7203, 6762, 6761, 7202, 7224, 6783, 6782, 7223
6141, 7205, 6764, 6763, 7204, 7226, 6785, 6784, 7225
6142, 7206, 6765, 6764, 7205, 7227, 6786, 6785, 7226
6143, 7207, 6766, 6765, 7206, 7228, 6787, 6786, 7227
6144, 7208, 6767, 6766, 7207, 7229, 6788, 6787, 7228
6145, 7209, 6768, 6767, 7208, 7230, 6789, 6788, 7229
6146, 7210, 6769, 6768, 7209, 7231, 6790, 6789, 7230
6147, 7211, 6770, 6769, 7210, 7232, 6791, 6790, 7231
6148, 7212, 6771, 6770, 7211, 7233, 6792, 6791, 7232
6149, 7213, 6772, 6771, 7212, 7234, 6793, 6792, 7233
6150, 7214, 6773, 6772, 7213, 7235, 6794, 6793, 7234
6151, 7215, 6774, 6773, 7214, 7236, 6795, 6794, 7235
6152, 7216, 6775, 6774, 7215, 7237, 6796, 6795, 7236
6153, 7217, 6776, 6775, 7216, 7238, 6797, 6796, 7237
6154, 7218, 6777, 6776, 7217, 7239, 6798, 6797, 7238
6155, 7219, 6778, 6777, 7218, 7240, 6799, 6798, 7239
6156, 7220, 6779, 6778, 7219, 7241, 6800, 6799, 7240
6157, 7221, 6780, 6779, 7220, 7242, 6801, 6800, 7241
6158, 7222, 6781, 6780, 7221, 7243, 6802, 6801, 7242
6159, 7223, 6782, 6781, 7222, 7244, 6803, 6802, 7243
6160, 7224, 6783, 6782, 7223, 7245, 6804, 6803, 7244
6161, 7226, 6785, 6784, 7225, 7247, 6806, 6805, 7246
6162, 7227, 6786, 6785, 7226, 7248, 6807, 6806, 7247
6163, 7228, 6787, 6786, 7227, 7249, 6808, 6807, 7248
6164, 7229, 6788, 6787, 7228, 7250, 6809, 6808, 7249
6165, 7230, 6789, 6788, 7229, 7251, 6810, 6809, 7250
6166, 7231, 6790, 6789, 7230, 7252, 6811, 6810, 7251
6167, 7232, 6791, 6790, 7231, 7253, 6812, 6811, 7252
6168, 7233, 6792, 6791, 7232, 7254, 6813, 6812, 7253
6169, 7234, 6793, 6792, 7233, 7255, 6814, 6813, 7254
6170, 7235, 6794, 6793, 7234, 7256, 6815, 6814, 7255
6171, 7236, 6795, 6794, 7235, 7257, 6816, 6815, 7256
6172, 7237, 6796, 6795, 7236, 7258, 6817, 6816, 7257
6173, 7238, 6797, 6796, 7237, 7259, 6818, 6817, 7258
6174, 7239, 6798, 6797, 7238, 7260, 6819, 6818, 7259
6175, 7240, 6799, 6798, 7239, 7261, 6820, 6819, 7260
6176, 7241, 6800, 6799, 7240, 7262, 6821, 6820, 7261
6177, 7242, 6801, 6800, 7241, 7263, 6822, 6821, 7262
6178, 7243, 6802, 6801, 7242, 7264, 6823, 6822, 7263
6179, 7244, 6803, 6802, 7243, 7265, 6824, 6823, 7264
6180, 7245, 6804, 6803, 7244, 7266, 6825, 6824, 7265
6181, 7247, 6806, 6805, 7246, 7268, 6827, 6826, 7267
6182, 7248, 6807, 6806, 7247, 7269, 6828, 6827, 7268
6183, 7249, 6808, 6807, 7248, 7270, 6829, 6828, 7269
6184, 7250, 6809, 6808, 7249, 7271, 6830, 6829, 7270
6185, 7251, 6810, 6809, 7250, 7272, 6831, 6830, 7271
6186, 7252, 6811, 6810, 7251, 7273, 6832, 6831, 7272
6187, 7253, 6812, 6811, 7252, 7274, 6833, 6832, 7273
6188, 7254, 6813, 6812, 7253, 7275, 6834, 6833, 7274
6189, 7255, 6814, 6813, 7254, 7276, 6835, 6834, 7275
6190, 7256, 6815, 6814, 7255, 7277, 6836, 6835, 7276
6191, 7257, 6816, 6815, 7256, 7278, 6837, 6836, 7277
6192, 7258, 6817, 6816, 7257, 7279, 6838, 6837, 7278
6193, 7259, 6818, 6817, 7258, 7280, 6839, 6838, 7279
6194, 7260, 6819, 6818, 7259, 7281, 6840, 6839, 7280
6195, 7261, 6820, 6819, 7260, 7282, 6841, 6840, 7281
6196, 7262, 6821, 6820, 7261, 7283, 6842, 6841, 7282
6197, 7263, 6822, 6821, 7262, 7284, 6843, 6842, 7283
6198, 7264, 6823, 6822, 7263, 7285, 6844, 6843, 7284
6199, 7265, 6824, 6823, 7264, 7286, 6845, 6844, 7285
6200, 7266, 6825, 6824, 7265, 7287, 6846, 6845, 7286
6201, 7268, 6827, 6826, 7267, 7289, 6848, 6847, 7288
6202, 7269, 6828, 6827, 7268, 7290, 6849, 6848, 7289
6203, 7270, 6829, 6828, 7269, 7291, 6850, 6849, 7290
6204, 7271, 6830, 6829, 7270, 7292, 6851, 6850, 7291
6205, 7272, 6831, 6830, 7271, 7293, 6852, 6851, 7292
6206, 7273, 6832, 6831, 7272, 7294, 6853, 6852, 7293
6207, 7274, 6833, 6832, 7273, 7295, 6854, 6853, 7294
6208, 7275, 6834, 6833, 7274, 7296, 6855, 6854, 7295
6209, 7276, 6835, 6834, 7275, 7297, 6856, 6855, 7296
6210, 7277, 6836, 6835, 7276, 7298, 6857, 6856, 7297
6211, 7278, 6837, 6836, 7277, 7299, 6858, 6857, 7298
6212, 7279, 6838, 6837, 7278, 7300, 6859, 6858, 7299
6213, 7280, 6839, 6838, 7279, 7301, 6860, 6859, 7300
6214, 7281, 6840, 6839, 7280, 7302, 6861, 6860, 7301
6215, 7282, 6841, 6840, 7281, 7303, 6862, 6861, 7302
6216, 7283, 6842, 6841, 7282, 7304, 6863, 6862, 7303
6217, 7284, 6843, 6842, 7283, 7305, 6864, 6863, 7304
6218, 7285, 6844, 6843, 7284, 7306, 6865, 6864, 7305
6219, 7286, 6845, 6844, 7285, 7307, 6866, 6865, 7306
6220, 7287, 6846, 6845, 7286, 7308, 6867, 6866, 7307
6221, 7289, 6848, 6847, 7288, 7310, 6869, 6868, 7309
6222, 7290, 6849, 6848, 7289, 7311, 6870, 6869, 7310
6223, 7291, 6850, 6849, 7290, 7312, 6871, 6870, 7311
6224, 7292, 6851, 6850, 7291, 7313, 6872, 6871, 7312
6225, 7293, 6852, 6851, 7292, 7314, 6873, 6872, 7313
6226, 7294, 6853, 6852, 7293, 7315, 6874, 6873, 7314
6227, 7295, 6854, 6853, 7294, 7316, 6875, 6874, 7315
6228, 7296, 6855, 6854, 7295, 7317, 6876, 6875, 7316
6229, 7297, 6856, 6855, 7296, 7318, 6877, 6876, 7317
6230, 7298, 6857, 6856, 7297, 7319, 6878, 6877, 7318
6231, 7299, 6858, 6857, 7298, 7320, 6879, 6878, 7319
6232, 7300, 6859, 6858, 7299, 7321, 6880, 6879, 7320
6233, 7301, 6860, 6859, 7300, 7322, 6881, 6880, 7321
6234, 7302, 6861, 6860, 7301, 7323, 6882, 6881, 7322
6235, 7303, 6862, 6861, 7302, 7324, 6883, 6882, 7323
6236, 7304, 6863, 6862, 7303, 7325, 6884, 6883, 7324
6237, 7305, 6864, 6863, 7304, 7326, 6885, 6884, 7325
6238, 7306, 6865, 6864, 7305, 7327, 6886, 6885, 7326
6239, 7307, 6866, 6865, 7306, 7328, 6887, 6886, 7327
6240, 7308, 6867, 6866, 7307, 7329, 6888, 6887, 7328
6241, 7310, 6869, 6868, 7309, 7331, 6890, 6889, 7330
6242, 7311, 6870, 6869, 7310, 7332, 6891, 6890, 7331
6243, 7312, 6871, 6870, 7311, 7333, 6892, 6891, 7332
6244, 7313, 6872, 6871, 7312, 7334, 6893, 6892, 7333
6245, 7314, 6873, 6872, 7313, 7335, 6894, 6893, 7334
6246, 7315, 6874, 6873, 7314, 7336, 6895, 6894, 7335
6247, 7316, 6875, 6874, 7315, 7337, 6896, 6895, 7336
6248, 7317, 6876, 6875, 7316, 7338, 6897, 6896, 7337
6249, 7318, 6877, 6876, 7317, 7339, 6898, 6897, 7338
6250, 7319, 6878, 6877, 7318, 7340, 6899, 6898, 7339
6251, 7320, 6879, 6878, 7319, 7341, 6900, 6899, 7340
6252, 7321, 6880, 6879, 7320, 7342, 6901, 6900, 7341
6253, 7322, 6881, 6880, 7321, 7343, 6902, 6901, 7342
6254, 7323, 6882, 6881, 7322, 7344, 6903, 6902, 7343
6255, 7324, 6883, 6882, 7323, 7345, 6904, 6903, 7344
6256, 7325, 6884, 6883, 7324, 7346, 6905, 6904, 7345
6257, 7326, 6885, 6884, 7325, 7347, 6906, 6905, 7346
6258, 7327, 6886, 6885, 7326, 7348, 6907, 6906, 7347
6259, 7328, 6887, 6886, 7327, 7349, 6908, 6907, 7348
6260, 7329, 6888, 6887, 7328, 7350, 6909, 6908, 7349
6261, 7331, 6890, 6889, 7330, 7352, 6911, 6910, 7351
6262, 7332, 6891, 6890, 7331, 7353, 6912, 6911, 7352
6263, 7333, 6892, 6891, 7332, 7354, 6913, 6912, 7353
6264, 7334, 6893, 6892, 7333, 7355, 6914, 6913, 7354
6265, 7335, 6894, 6893, 7334, 7356, 6915, 6914, 7355
6266, 7336, 6895, 6894, 7335, 7357, 6916, 6915, 7356
6267, 7337, 6896, 6895, 7336, 7358, 6917, 6916, 7357
6268, 7338, 6897, 6896, 7337, 7359, 6918, 6917, 7358
6269, 7339, 6898, 6897, 7338, 7360, 6919, 6918, 7359
6270, 7340, 6899, 6898, 7339, 7361, 6920, 6919, 7360
6271, 7341, 6900, 6899, 7340, 7362, 6921, 6920, 7361
6272, 7342, 6901, 6900, 7341, 7363, 6922, 6921, 7362
6273, 7343, 6902, 6901, 7342, 7364, 6923, 6922, 7363
6274, 7344, 6903, 6902, 7343, 7365, 6924, 6923, 7364
6275, 7345, 6904, 6903, 7344, 7366, 6925, 6924, 7365
6276, 7346, 6905, 6904, 7345, 7367, 6926, 6925, 7366
6277, 7347, 6906, 6905, 7346, 7368, 6927, 6926, 7367
6278, 7348, 6907, 6906, 7347, 7369, 6928, 6927, 7368
6279, 7349, 6908, 6907, 7348, 7370, 6929, 6928, 7369
6280, 7350, 6909, 6908, 7349, 7371, 6930, 6929, 7370
6281, 7352, 6911, 6910, 7351, 7373, 6932, 6931, 7372
6282, 7353, 6912, 6911, 7352, 7374, 6933, 6932, 7373
6283, 7354, 6913, 6912, 7353, 7375, 6934, 6933, 7374
6284, 7355, 6914, 6913, 7354, 7376, 6935, 6934, 7375
6285, 7356, 6915, 6914, 7355, 7377, 6936, 6935, 7376
6286, 7357, 6916, 6915, 7356, 7378, 6937, 6936, 7377
6287, 7358, 6917, 6916, 7357, 7379, 6938, 6937, 7378
6288, 7359, 6918, 6917, 7358, 7380, 6939, 6938, 7379
6289, 7360, 6919, 6918, 7359, 7381, 6940, 6939, 7380
6290, 7361, 6920, 6919, 7360, 7382, 6941, 6940, 7381
6291, 7362, 6921, 6920, 7361, 7383, 6942, 6941, 7382
6292, 7363, 6922, 6921, 7362, 7384, 6943, 6942, 7383
6293, 7364, 6923, 6922, 7363, 7385, 6944, 6943, 7384
6294, 7365, 6924, 6923, 7364, 7386, 6945, 6944, 7385
6295, 7366, 6925, 6924, 7365, 7387, 6946, 6945, 7386
6296, 7367, 6926, 6925, 7366, 7388, 6947, 6946, 7387
6297, 7368, 6927, 6926, 7367, 7389, 6948, 6947, 7388
6298, 7369, 6928, 6927, 7368, 7390, 6949, 6948, 7389
6299, 7370, 6929, 6928, 7369, 7391, 6950, 6949, 7390
6300, 7371, 6930, 6929, 7370, 7392, 6951, 6950, 7391
6301, 7373, 6932, 6931, 7372, 7394, 6953, 6952, 7393
6302, 7374, 6933, 6932, 7373, 7395, 6954, 6953, 7394
6303, 7375, 6934, 6933, 7374, 7396, 6955, 6954, 7395
6304, 7376, 6935, 6934, 7375, 7397, 6956, 6955, 7396
6305, 7377, 6936, 6935, 7376, 7398, 6957, 6956, 7397
6306, 7378, 6937, 6936, 7377, 7399, 6958, 6957, 7398
6307, 7379, 6938, 6937, 7378, 7400, 6959, 6958, 7399
6308, 7380, 6939, 6938, 7379, 7401, 6960, 6959, 7400
6309, 7381, 6940, 6939, 7380, 7402, 6961, 6960, 7401
6310, 7382, 6941, 6940, 7381, 7403, 6962, 6961, 7402
6311, 7383, 6942, 6941, 7382, 7404, 6963, 6962, 7403
6312, 7384, 6943, 6942, 7383, 7405, 6964, 6963, 7404
6313, 7385, 6944, 6943, 7384, 7406, 6965, 6964, 7405
6314, 7386, 6945, 6944, 7385, 7407, 6966, 6965, 7406
6315, 7387, 6946, 6945, 7386, 7408, 6967, 6966, 7407
6316, 7388, 6947, 6946, 7387, 7409, 6968, 6967, 7408
6317, 7389, 6948, 6947, 7388, 7410, 6969, 6968, 7409
6318, 7390, 6949, 6948, 7389, 7411, 6970, 6969, 7410
6319, 7391, 6950, 6949, 7390, 7412, 6971, 6970, 7411
6320, 7392, 6951, 6950, 7391, 7413, 6972, 6971, 7412
6321, 7394, 6953, 6952, 7393, 7415, 6974, 6973, 7414
6322, 7395, 6954, 6953, 7394, 7416, 6975, 6974, 7415
6323, 7396, 6955, 6954, 7395, 7417, 6976, 6975, 7416
6324, 7397, 6956, 6955, 7396, 7418, 6977, 6976, 7417
6325, 7398, 6957, 6956, 7397, 7419, 6978, 6977, 7418
6326, 7399, 6958, 6957, 7398, 7420, 6979, 6978, 7419
6327, 7400, 6959, 6958, 7399, 7421, 6980, 6979, 7420
6328, 7401, 6960, 6959, 7400, 7422, 6981, 6980, 7421
6329, 7402, 6961, 6960, 7401, 7423, 6982, 6981, 7422
6330, 7403, 6962, 6961, 7402, 7424, 6983, 6982, 7423
6331, 7404, 6963, 6962, 7403, 7425, 6984, 6983, 7424
6332, 7405, 6964, 6963, 7404, 7426, 6985, 6984, 7425
6333, 7406, 6965, 6964, 7405, 7427, 6986, 6985, 7426
6334, 7407, 6966, 6965, 7406, 7428, 6987, 6986, 7427
6335, 7408, 6967, 6966, 7407, 7429, 6988, 6987, 7428
6336, 7409, 6968, 6967, 7408, 7430, 6989, 6988, 7429
6337, 7410, 6969, 6968, 7409, 7431, 6990, 6989, 7430
6338, 7411, 6970, 6969, 7410, 7432, 6991, 6990, 7431
6339, 7412, 6971, 6970, 7411, 7433, 6992, 6991, 7432
6340, 7413, 6972, 6971, 7412, 7434, 6993, 6992, 7433
6341, 7415, 6974, 6973, 7414, 7436, 6995, 6994, 7435
6342, 7416, 6975, 6974, 7415, 7437, 6996, 6995, 7436
6343, 7417, 6976, 6975, 7416, 7438, 6997, 6996, 7437
6344, 7418, 6977, 6976, 7417, 7439, 6998, 6997, 7438
6345, 7419, 6978, 6977, 7418, 7440, 6999, 6998, 7439
6346, 7420, 6979, 6978, 7419, 7441, 7000, 6999, 7440
6347, 7421, 6980, 6979, 7420, 7442, 7001, 7000, 7441
6348, 7422, 6981, 6980, 7421, 7443, 7002, 7001, 7442
6349, 7423, 6982, 6981, 7422, 7444, 7003, 7002, 7443
6350, 7424, 6983, 6982, 7423, 7445, 7004, 7003, 7444
6351, 7425, 6984, 6983, 7424, 7446, 7005, 7004, 7445
6352, 7426, 6985, 6984, 7425, 7447, 7006, 7005, 7446
6353, 7427, 6986, 6985, 7426, 7448, 7007, 7006, 7447
6354, 7428, 6987, 6986, 7427, 7449, 7008, 7007, 7448
6355, 7429, 6988, 6987, 7428, 7450, 7009, 7008, 7449
6356, 7430, 6989, 6988, 7429, 7451, 7010, 7009, 7450
6357, 7431, 6990, 6989, 7430, 7452, 7011, 7010, 7451
6358, 7432, 6991, 6990, 7431, 7453, 7012, 7011, 7452
6359, 7433, 6992, 6991, 7432, 7454, 7013, 7012, 7453
6360, 7434, 6993, 6992, 7433, 7455, 7014, 7013, 7454
6361, 7436, 6995, 6994, 7435, 7457, 7016, 7015, 7456
6362, 7437, 6996, 6995, 7436, 7458, 7017, 7016, 7457
6363, 7438, 6997, 6996, 7437, 7459, 7018, 7017, 7458
6364, 7439, 6998, 6997, 7438, 7460, 7019, 7018, 7459
6365, 7440, 6999, 6998, 7439, 7461, 7020, 7019, 7460
6366, 7441, 7000, 6999, 7440, 7462, 7021, 7020, 7461
6367, 7442, 7001, 7000, 7441, 7463, 7022, 7021, 7462
6368, 7443, 7002, 7001, 7442, 7464, 7023, 7022, 7463
6369, 7444, 7003, 7002, 7443, 7465, 7024, 7023, 7464
6370, 7445, 7004, 7003, 7444, 7466, 7025, 7024, 7465
6371, 7446, 7005, 7004, 7445, 7467, 7026, 7025, 7466
6372, 7447, 7006, 7005, 7446, 7468, 7027, 7026, 7467
6373, 7448, 7007, 7006, 7447, 7469, 7028, 7027, 7468
6374, 7449, 7008, 7007, 7448, 7470, 7029, 7028, 7469
6375, 7450, 7009, 7008, 7449, 7471, 7030, 7029, 7470
6376, 7451, 7010, 7009, 7450, 7472, 7031, 7030, 7471
6377, 7452, 7011, 7010, 7451, 7473, 7032, 7031, 7472
6378, 7453, 7012, 7011, 7452, 7474, 7033, 7032, 7473
6379, 7454, 7013, 7012, 7453, 7475, 7034, 7033, 7474
6380, 7455, 7014, 7013, 7454, 7476, 7035, 7034, 7475
6381, 7457, 7016, 7015, 7456, 7478, 7037, 7036, 7477
6382, 7458, 7017, 7016, 7457, 7479, 7038, 7037, 7478
6383, 7459, 7018, 7017, 7458, 7480, 7039, 7038, 7479
6384, 7460, 7019, 7018, 7459, 7481, 7040, 7039, 7480
6385, 7461, 7020, 7019, 7460, 7482, 7041, 7040, 7481
6386, 7462, 7021, 7020, 7461, 7483, 7042, 7041, 7482
6387, 7463, 7022, 7021, 7462, 7484, 7043, 7042, 7483
6388, 7464, 7023, 7022, 7463, 7485, 7044, 7043, 7484
6389, 7465, 7024, 7023, 7464, 7486, 7045, 7044, 7485
6390, 7466, 7025, 7024, 7465, 7487, 7046, 7045, 7486
6391, 7467, 7026, 7025, 7466, 7488, 7047, 7046, 7487
6392, 7468, 7027, 7026, 7467, 7489, 7048, 7047, 7488
6393, 7469, 7028, 7027, 7468, 7490, 7049, 7048, 7489
6394, 7470, 7029, 7028, 7469, 7491, 7050, 7049, 7490
6395, 7471, 7030, 7029, 7470, 7492, 7051, 7050, 7491
6396, 7472, 7031, 7030, 7471, 7493, 7052, 7051, 7492
6397, 7473, 7032, 7031, 7472, 7494, 7053, 7052, 7493
6398, 7474, 7033, 7032, 7473, 7495, 7054, 7053, 7494
6399, 7475, 7034, 7033, 7474, 7496, 7055, 7054, 7495
6400, 7476, 7035, 7034, 7475, 7497, 7056, 7055, 7496
6401, 7499, 7058, 7057, 7498, 7520, 7079, 7078, 7519
6402, 7500, 7059, 7058, 7499, 7521, 7080, 7079, 7520
6403, 7501, 7060, 7059, 7500, 7522, 7081, 7080, 7521
6404, 7502, 7061, 7060, 7501, 7523, 7082, 7081, 7522
6405, 7503, 7062, 7061, 7502, 7524, 7083, 7082, 7523
6406, 7504, 7063, 7062, 7503, 7525, 7084, 7083, 7524
6407, 7505, 7064, 7063, 7504, 7526, 7085, 7084, 7525
6408, 7506, 7065, 7064, 7505, 7527, 7086, 7085, 7526
6409, 7507, 7066, 7065, 7506, 7528, 7087, 7086, 7527
6410, 7508, 7067, 7066, 7507, 7529, 7088, 7087, 7528
6411, 7509, 7068, 7067, 7508, 7530, 7089, 7088, 7529
6412, 7510, 7069, 7068, 7509, 7531, 7090, 7089, 7530
6413, 7511, 7070, 7069, 7510, 7532, 7091, 7090, 7531
6414, 7512, 7071, 7070, 7511, 7533, 7092, 7091, 7532
6415, 7513, 7072, 7071, 7512, 7534, 7093, 7092, 7533
6416, 7514, 7073, 7072, 7513, 7535, 7094, 7093, 7534
6417, 7515, 7074, 7073, 7514, 7536, 7095, 7094, 7535
6418, 7516, 7075, 7074, 7515, 7537, 7096, 7095, 7536
6419, 7517, 7076, 7075, 7516, 7538, 7097, 7096, 7537
6420, 7518, 7077, 7076, 7517, 7539, 7098, 7097, 7538
6421, 7520, 7079, 7078, 7519, 7541, 7100, 7099, 7540
6422, 7521, 7080, 7079, 7520, 7542, 7101, 7100, 7541
6423, 7522, 7081, 7080, 7521, 7543, 7102, 7101, 7542
6424, 7523, 7082, 7081, 7522, 7544, 7103, 7102, 7543
6425, 7524, 7083, 7082, 7523, 7545, 7104, 7103, 7544
6426, 7525, 7084, 7083, 7524, 7546, 7105, 7104, 7545
6427, 7526, 7085, 7084, 7525, 7547, 7106, 7105, 7546
6428, 7527, 7086, 7085, 7526, 7548, 7107, 7106, 7547
6429, 7528, 7087, 7086, 7527, 7549, 7108, 7107, 7548
6430, 7529, 7088, 7087, 7528, 7550, 7109, 7108, 7549
6431, 7530, 7089, 7088, 7529, 7551, 7110, 7109, 7550
6432, 7531, 7090, 7089, 7530, 7552, 7111, 7110, 7551
6433, 7532, 7091, 7090, 7531, 7553, 7112, 7111, 7552
6434, 7533, 7092, 7091, 7532, 7554, 7113, 7112, 7553
6435, 7534, 7093, 7092, 7533, 7555, 7114, 7113, 7554
6436, 7535, 7094, 7093, 7534, 7556, 7115, 7114, 7555
6437, 7536, 7095, 7094, 7535, 7557, 7116, 7115, 7556
6438, 7537, 7096, 7095, 7536, 7558, 7117, 7116, 7557
6439, 7538, 7097, 7096, 7537, 7559, 7118, 7117, 7558
6440, 7539, 7098, 7097, 7538, 7560, 7119, 7118, 7559
6441, 7541, 7100, 7099, 7540, 7562, 7121, 7120, 7561
6442, 7542, 7101, 7100, 7541, 7563, 7122, 7121, 7562
6443, 7543, 7102, 7101, 7542, 7564, 7123, 7122, 7563
6444, 7544, 7103, 7102, 7543, 7565, 7124, 7123, 7564
6445, 7545, 7104, 7103, 7544, 7566, 7125, 7124, 7565
6446, 7546, 7105, 7104, 7545, 7567, 7126, 7125, 7566
6447, 7547, 7106, 7105, 7546, 7568, 7127, 7126, 7567
6448, 7548, 7107, 7106, 7547, 7569, 7128, 7127, 7568
6449, 7549, 7108, 7107, 7548, 7570, 7129, 7128, 7569
6450, 7550, 7109, 7108, 7549, 7571, 7130, 7129, 7570
6451, 7551, 7110, 7109, 7550, 7572, 7131, 7130, 7571
6452, 7552, 7111, 7110, 7551, 7573, 7132, 7131, 7572
6453, 7553, 7112, 7111, 7552, 7574, 7133, 7132, 7573
6454, 7554, 7113, 7112, 7553, 7575, 7134, 7133, 7574
6455, 7555, 7114, 7113, 7554, 7576, 7135, 7134, 7575
6456, 7556, 7115, 7114, 7555, 7577, 7136, 7135, 7576
6457, 7557, 7116, 7115, 7556, 7578, 7137, 7136, 7577
6458, 7558, 7117, 7116, 7557, 7579, 7138, 7137, 7578
6459, 7559, 7118, 7117, 7558, 7580, 7139, 7138, 7579
6460, 7560, 7119, 7118, 7559, 7581, 7140, 7139, 7580
6461, 7562, 7121, 7120, 7561, 7583, 7142, 7141, 7582
6462, 7563, 7122, 7121, 7562, 7584, 7143, 7142, 7583
6463, 7564, 7123, 7122, 7563, 7585, 7144, 7143, 7584
6464, 7565, 7124, 7123, 7564, 7586, 7145, 7144, 7585
6465, 7566, 7125, 7124, 7565, 7587, 7146, 7145, 7586
6466, 7567, 7126, 7125, 7566, 7588, 7147, 7146, 7587
6467, 7568, 7127, 7126, 7567, 7589, 7148, 7147, 7588
6468, 7569, 7128, 7127, 7568, 7590, 7149, 7148, 7589
6469, 7570, 7129, 7128, 7569, 7591, 7150, 7149, 7590
6470, 7571, 7130, 7129, 7570, 7592, 7151, 7150, 7591
6471, 7572, 7131, 7130, 7571, 7593, 7152, 7151, 7592
6472, 7573, 7132, 7131, 7572, 7594, 7153, 7152, 7593
6473, 7574, 7133, 7132, 7573, 7595, 7154, 7153, 7594
6474, 7575, 7134, 7133, 7574, 7596, 7155, 7154, 7595
6475, 7576, 7135, 7134, 7575, 7597, 7156, 7155, 7596
6476, 7577, 7136, 7135, 7576, 7598, 7157, 7156, 7597
6477, 7578, 7137, 7136, 7577, 7599, 7158, 7157, 7598
6478, 7579, 7138, 7137, 7578, 7600, 7159, 7158, 7599
6479, 7580, 7139, 7138, 7579, 7601, 7160, 7159, 7600
6480, 7581, 7140, 7139, 7580, 7602, 7161, 7160, 7601
6481, 7583, 7142, 7141, 7582, 7604, 7163, 7162, 7603
6482, 7584, 7143, 7142, 7583, 7605, 7164, 7163, 7604
6483, 7585, 7144, 7143, 7584, 7606, 7165, 7164, 7605
6484, 7586, 7145, 7144, 7585, 7607, 7166, 7165, 7606
6485, 7587, 7146, 7145, 7586, 7608, 7167, 7166, 7607
6486, 7588, 7147, 7146, 7587, 7609, 7168, 7167, 7608
6487, 7589, 7148, 7147, 7588, 7610, 7169, 7168, 7609
6488, 7590, 7149, 7148, 7589, 7611, 7170, 7169, 7610
6489, 7591, 7150, 7149, 7590, 7612, 7171, 7170, 7611
6490, 7592, 7151, 7150, 7591, 7613, 7172, 7171, 7612
6491, 7593, 7152, 7151, 7592, 7614, 7173, 7172, 7613
6492, 7594, 7153, 7152, 7593, 7615, 7174, 7173, 7614
6493, 7595, 7154, 7153, 7594, 7616, 7175, 7174, 7615
6494, 7596, 7155, 7154, 7595, 7617, 7176, 7175, 7616
6495, 7597, 7156, 7155, 7596, 7618, 7177, 7176, 7617
6496, 7598, 7157, 7156, 7597, 7619, 7178, 7177, 7618
6497, 7599, 7158, 7157, 7598, 7620, 7179, 7178, 7619
6498, 7600, 7159, 7158, 7599, 7621, 7180, 7179, 7620
6499, 7601, 7160, 7159, 7600, 7622, 7181, 7180, 7621
6500, 7602, 7161, 7160, 7601, 7623, 7182, 7181, 7622
6501, 7604, 7163, 7162, 7603, 7625, 7184, 7183, 7624
6502, 7605, 7164, 7163, 7604, 7626, 7185, 7184, 7625
6503, 7606, 7165, 7164, 7605, 7627, 7186, 7185, 7626
6504, 7607, 7166, 7165, 7606, 7628, 7187, 7186, 7627
6505, 7608, 7167, 7166, 7607, 7629, 7188, 7187, 7628
6506, 7609, 7168, 7167, 7608, 7630, 7189, 7188, 7629
6507, 7610, 7169, 7168, 7609, 7631, 7190, 7189, 7630
6508, 7611, 7170, 7169, 7610, 7632, 7191, 7190, 7631
6509, 7612, 7171, 7170, 7611, 7633, 7192, 7191, 7632
6510, 7613, 7172, 7171, 7612, 7634, 7193, 7192, 7633
6511, 7614, 7173, 7172, 7613, 7635, 7194, 7193, 7634
6512, 7615, 7174, 7173, 7614, 7636, 7195, 7194, 7635
6513, 7616, 7175, 7174, 7615, 7637, 7196, 7195, 7636
6514, 7617, 7176, 7175, 7616, 7638, 7197, 7196, 7637
6515, 7618, 7177, 7176, 7617, 7639, 7198, 7197, 7638
6516, 7619, 7178, 7177, 7618, 7640, 7199, 7198, 7639
6517, 7620, 7179, 7178, 7619, 7641, 7200, 7199, 7640
6518, 7621, 7180, 7179, 7620, 7642, 7201, 7200, 7641
6519, 7622, 7181, 7180, 7621, 7643, 7202, 7201, 7642
6520, 7623, 7182, 7181, 7622, 7644, 7203, 7202, 7643
6521, 7625, 7184, 7183, 7624, 7646, 7205, 7204, 7645
6522, 7626, 7185, 7184, 7625, 7647, 7206, 7205, 7646
6523, 7627, 7186, 7185, 7626, 7648, 7207, 7206, 7647
6524, 7628, 7187, 7186, 7627, 7649, 7208, 7207, 7648
6525, 7629, 7188, 7187, 7628, 7650, 7209, 7208, 7649
6526, 7630, 7189, 7188, 7629, 7651, 7210, 7209, 7650
6527, 7631, 7190, 7189, 7630, 7652, 7211, 7210, 7651
6528, 7632, 7191, 7190, 7631, 7653, 7212, 7211, 7652
6529, 7633, 7192, 7191, 7632, 7654, 7213, 7212, 7653
6530, 7634, 7193, 7192, 7633, 7655, 7214, 7213, 7654
6531, 7635, 7194, 7193, 7634, 7656, 7215, 7214, 7655
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6675, 7786, 7345, 7344, 7785, 7807, 7366, 7365, 7806
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6705, 7818, 7377, 7376, 7817, 7839, 7398, 7397, 7838
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6710, 7823, 7382, 7381, 7822, 7844, 7403, 7402, 7843
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6714, 7827, 7386, 7385, 7826, 7848, 7407, 7406, 7847
6715, 7828, 7387, 7386, 7827, 7849, 7408, 7407, 7848
6716, 7829, 7388, 7387, 7828, 7850, 7409, 7408, 7849
6717, 7830, 7389, 7388, 7829, 7851, 7410, 7409, 7850
6718, 7831, 7390, 7389, 7830, 7852, 7411, 7410, 7851
6719, 7832, 7391, 7390, 7831, 7853, 7412, 7411, 7852
6720, 7833, 7392, 7391, 7832, 7854, 7413, 7412, 7853
6721, 7835, 7394, 7393, 7834, 7856, 7415, 7414, 7855
6722, 7836, 7395, 7394, 7835, 7857, 7416, 7415, 7856
6723, 7837, 7396, 7395, 7836, 7858, 7417, 7416, 7857
6724, 7838, 7397, 7396, 7837, 7859, 7418, 7417, 7858
6725, 7839, 7398, 7397, 7838, 7860, 7419, 7418, 7859
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6727, 7841, 7400, 7399, 7840, 7862, 7421, 7420, 7861
6728, 7842, 7401, 7400, 7841, 7863, 7422, 7421, 7862
6729, 7843, 7402, 7401, 7842, 7864, 7423, 7422, 7863
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6731, 7845, 7404, 7403, 7844, 7866, 7425, 7424, 7865
6732, 7846, 7405, 7404, 7845, 7867, 7426, 7425, 7866
6733, 7847, 7406, 7405, 7846, 7868, 7427, 7426, 7867
6734, 7848, 7407, 7406, 7847, 7869, 7428, 7427, 7868
6735, 7849, 7408, 7407, 7848, 7870, 7429, 7428, 7869
6736, 7850, 7409, 7408, 7849, 7871, 7430, 7429, 7870
6737, 7851, 7410, 7409, 7850, 7872, 7431, 7430, 7871
6738, 7852, 7411, 7410, 7851, 7873, 7432, 7431, 7872
6739, 7853, 7412, 7411, 7852, 7874, 7433, 7432, 7873
6740, 7854, 7413, 7412, 7853, 7875, 7434, 7433, 7874
6741, 7856, 7415, 7414, 7855, 7877, 7436, 7435, 7876
6742, 7857, 7416, 7415, 7856, 7878, 7437, 7436, 7877
6743, 7858, 7417, 7416, 7857, 7879, 7438, 7437, 7878
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6745, 7860, 7419, 7418, 7859, 7881, 7440, 7439, 7880
6746, 7861, 7420, 7419, 7860, 7882, 7441, 7440, 7881
6747, 7862, 7421, 7420, 7861, 7883, 7442, 7441, 7882
6748, 7863, 7422, 7421, 7862, 7884, 7443, 7442, 7883
6749, 7864, 7423, 7422, 7863, 7885, 7444, 7443, 7884
6750, 7865, 7424, 7423, 7864, 7886, 7445, 7444, 7885
6751, 7866, 7425, 7424, 7865, 7887, 7446, 7445, 7886
6752, 7867, 7426, 7425, 7866, 7888, 7447, 7446, 7887
6753, 7868, 7427, 7426, 7867, 7889, 7448, 7447, 7888
6754, 7869, 7428, 7427, 7868, 7890, 7449, 7448, 7889
6755, 7870, 7429, 7428, 7869, 7891, 7450, 7449, 7890
6756, 7871, 7430, 7429, 7870, 7892, 7451, 7450, 7891
6757, 7872, 7431, 7430, 7871, 7893, 7452, 7451, 7892
6758, 7873, 7432, 7431, 7872, 7894, 7453, 7452, 7893
6759, 7874, 7433, 7432, 7873, 7895, 7454, 7453, 7894
6760, 7875, 7434, 7433, 7874, 7896, 7455, 7454, 7895
6761, 7877, 7436, 7435, 7876, 7898, 7457, 7456, 7897
6762, 7878, 7437, 7436, 7877, 7899, 7458, 7457, 7898
6763, 7879, 7438, 7437, 7878, 7900, 7459, 7458, 7899
6764, 7880, 7439, 7438, 7879, 7901, 7460, 7459, 7900
6765, 7881, 7440, 7439, 7880, 7902, 7461, 7460, 7901
6766, 7882, 7441, 7440, 7881, 7903, 7462, 7461, 7902
6767, 7883, 7442, 7441, 7882, 7904, 7463, 7462, 7903
6768, 7884, 7443, 7442, 7883, 7905, 7464, 7463, 7904
6769, 7885, 7444, 7443, 7884, 7906, 7465, 7464, 7905
6770, 7886, 7445, 7444, 7885, 7907, 7466, 7465, 7906
6771, 7887, 7446, 7445, 7886, 7908, 7467, 7466, 7907
6772, 7888, 7447, 7446, 7887, 7909, 7468, 7467, 7908
6773, 7889, 7448, 7447, 7888, 7910, 7469, 7468, 7909
6774, 7890, 7449, 7448, 7889, 7911, 7470, 7469, 7910
6775, 7891, 7450, 7449, 7890, 7912, 7471, 7470, 7911
6776, 7892, 7451, 7450, 7891, 7913, 7472, 7471, 7912
6777, 7893, 7452, 7451, 7892, 7914, 7473, 7472, 7913
6778, 7894, 7453, 7452, 7893, 7915, 7474, 7473, 7914
6779, 7895, 7454, 7453, 7894, 7916, 7475, 7474, 7915
6780, 7896, 7455, 7454, 7895, 7917, 7476, 7475, 7916
6781, 7898, 7457, 7456, 7897, 7919, 7478, 7477, 7918
6782, 7899, 7458, 7457, 7898, 7920, 7479, 7478, 7919
6783, 7900, 7459, 7458, 7899, 7921, 7480, 7479, 7920
6784, 7901, 7460, 7459, 7900, 7922, 7481, 7480, 7921
6785, 7902, 7461, 7460, 7901, 7923, 7482, 7481, 7922
6786, 7903, 7462, 7461, 7902, 7924, 7483, 7482, 7923
6787, 7904, 7463, 7462, 7903, 7925, 7484, 7483, 7924
6788, 7905, 7464, 7463, 7904, 7926, 7485, 7484, 7925
6789, 7906, 7465, 7464, 7905, 7927, 7486, 7485, 7926
6790, 7907, 7466, 7465, 7906, 7928, 7487, 7486, 7927
6791, 7908, 7467, 7466, 7907, 7929, 7488, 7487, 7928
6792, 7909, 7468, 7467, 7908, 7930, 7489, 7488, 7929
6793, 7910, 7469, 7468, 7909, 7931, 7490, 7489, 7930
6794, 7911, 7470, 7469, 7910, 7932, 7491, 7490, 7931
6795, 7912, 7471, 7470, 7911, 7933, 7492, 7491, 7932
6796, 7913, 7472, 7471, 7912, 7934, 7493, 7492, 7933
6797, 7914, 7473, 7472, 7913, 7935, 7494, 7493, 7934
6798, 7915, 7474, 7473, 7914, 7936, 7495, 7494, 7935
6799, 7916, 7475, 7474, 7915, 7937, 7496, 7495, 7936
6800, 7917, 7476, 7475, 7916, 7938, 7497, 7496, 7937
6801, 7940, 7499, 7498, 7939, 7961, 7520, 7519, 7960
6802, 7941, 7500, 7499, 7940, 7962, 7521, 7520, 7961
6803, 7942, 7501, 7500, 7941, 7963, 7522, 7521, 7962
6804, 7943, 7502, 7501, 7942, 7964, 7523, 7522, 7963
6805, 7944, 7503, 7502, 7943, 7965, 7524, 7523, 7964
6806, 7945, 7504, 7503, 7944, 7966, 7525, 7524, 7965
6807, 7946, 7505, 7504, 7945, 7967, 7526, 7525, 7966
6808, 7947, 7506, 7505, 7946, 7968, 7527, 7526, 7967
6809, 7948, 7507, 7506, 7947, 7969, 7528, 7527, 7968
6810, 7949, 7508, 7507, 7948, 7970, 7529, 7528, 7969
6811, 7950, 7509, 7508, 7949, 7971, 7530, 7529, 7970
6812, 7951, 7510, 7509, 7950, 7972, 7531, 7530, 7971
6813, 7952, 7511, 7510, 7951, 7973, 7532, 7531, 7972
6814, 7953, 7512, 7511, 7952, 7974, 7533, 7532, 7973
6815, 7954, 7513, 7512, 7953, 7975, 7534, 7533, 7974
6816, 7955, 7514, 7513, 7954, 7976, 7535, 7534, 7975
6817, 7956, 7515, 7514, 7955, 7977, 7536, 7535, 7976
6818, 7957, 7516, 7515, 7956, 7978, 7537, 7536, 7977
6819, 7958, 7517, 7516, 7957, 7979, 7538, 7537, 7978
6820, 7959, 7518, 7517, 7958, 7980, 7539, 7538, 7979
6821, 7961, 7520, 7519, 7960, 7982, 7541, 7540, 7981
6822, 7962, 7521, 7520, 7961, 7983, 7542, 7541, 7982
6823, 7963, 7522, 7521, 7962, 7984, 7543, 7542, 7983
6824, 7964, 7523, 7522, 7963, 7985, 7544, 7543, 7984
6825, 7965, 7524, 7523, 7964, 7986, 7545, 7544, 7985
6826, 7966, 7525, 7524, 7965, 7987, 7546, 7545, 7986
6827, 7967, 7526, 7525, 7966, 7988, 7547, 7546, 7987
6828, 7968, 7527, 7526, 7967, 7989, 7548, 7547, 7988
6829, 7969, 7528, 7527, 7968, 7990, 7549, 7548, 7989
6830, 7970, 7529, 7528, 7969, 7991, 7550, 7549, 7990
6831, 7971, 7530, 7529, 7970, 7992, 7551, 7550, 7991
6832, 7972, 7531, 7530, 7971, 7993, 7552, 7551, 7992
6833, 7973, 7532, 7531, 7972, 7994, 7553, 7552, 7993
6834, 7974, 7533, 7532, 7973, 7995, 7554, 7553, 7994
6835, 7975, 7534, 7533, 7974, 7996, 7555, 7554, 7995
6836, 7976, 7535, 7534, 7975, 7997, 7556, 7555, 7996
6837, 7977, 7536, 7535, 7976, 7998, 7557, 7556, 7997
6838, 7978, 7537, 7536, 7977, 7999, 7558, 7557, 7998
6839, 7979, 7538, 7537, 7978, 8000, 7559, 7558, 7999
6840, 7980, 7539, 7538, 7979, 8001, 7560, 7559, 8000
6841, 7982, 7541, 7540, 7981, 8003, 7562, 7561, 8002
6842, 7983, 7542, 7541, 7982, 8004, 7563, 7562, 8003
6843, 7984, 7543, 7542, 7983, 8005, 7564, 7563, 8004
6844, 7985, 7544, 7543, 7984, 8006, 7565, 7564, 8005
6845, 7986, 7545, 7544, 7985, 8007, 7566, 7565, 8006
6846, 7987, 7546, 7545, 7986, 8008, 7567, 7566, 8007
6847, 7988, 7547, 7546, 7987, 8009, 7568, 7567, 8008
6848, 7989, 7548, 7547, 7988, 8010, 7569, 7568, 8009
6849, 7990, 7549, 7548, 7989, 8011, 7570, 7569, 8010
6850, 7991, 7550, 7549, 7990, 8012, 7571, 7570, 8011
6851, 7992, 7551, 7550, 7991, 8013, 7572, 7571, 8012
6852, 7993, 7552, 7551, 7992, 8014, 7573, 7572, 8013
6853, 7994, 7553, 7552, 7993, 8015, 7574, 7573, 8014
6854, 7995, 7554, 7553, 7994, 8016, 7575, 7574, 8015
6855, 7996, 7555, 7554, 7995, 8017, 7576, 7575, 8016
6856, 7997, 7556, 7555, 7996, 8018, 7577, 7576, 8017
6857, 7998, 7557, 7556, 7997, 8019, 7578, 7577, 8018
6858, 7999, 7558, 7557, 7998, 8020, 7579, 7578, 8019
6859, 8000, 7559, 7558, 7999, 8021, 7580, 7579, 8020
6860, 8001, 7560, 7559, 8000, 8022, 7581, 7580, 8021
6861, 8003, 7562, 7561, 8002, 8024, 7583, 7582, 8023
6862, 8004, 7563, 7562, 8003, 8025, 7584, 7583, 8024
6863, 8005, 7564, 7563, 8004, 8026, 7585, 7584, 8025
6864, 8006, 7565, 7564, 8005, 8027, 7586, 7585, 8026
6865, 8007, 7566, 7565, 8006, 8028, 7587, 7586, 8027
6866, 8008, 7567, 7566, 8007, 8029, 7588, 7587, 8028
6867, 8009, 7568, 7567, 8008, 8030, 7589, 7588, 8029
6868, 8010, 7569, 7568, 8009, 8031, 7590, 7589, 8030
6869, 8011, 7570, 7569, 8010, 8032, 7591, 7590, 8031
6870, 8012, 7571, 7570, 8011, 8033, 7592, 7591, 8032
6871, 8013, 7572, 7571, 8012, 8034, 7593, 7592, 8033
6872, 8014, 7573, 7572, 8013, 8035, 7594, 7593, 8034
6873, 8015, 7574, 7573, 8014, 8036, 7595, 7594, 8035
6874, 8016, 7575, 7574, 8015, 8037, 7596, 7595, 8036
6875, 8017, 7576, 7575, 8016, 8038, 7597, 7596, 8037
6876, 8018, 7577, 7576, 8017, 8039, 7598, 7597, 8038
6877, 8019, 7578, 7577, 8018, 8040, 7599, 7598, 8039
6878, 8020, 7579, 7578, 8019, 8041, 7600, 7599, 8040
6879, 8021, 7580, 7579, 8020, 8042, 7601, 7600, 8041
6880, 8022, 7581, 7580, 8021, 8043, 7602, 7601, 8042
6881, 8024, 7583, 7582, 8023, 8045, 7604, 7603, 8044
6882, 8025, 7584, 7583, 8024, 8046, 7605, 7604, 8045
6883, 8026, 7585, 7584, 8025, 8047, 7606, 7605, 8046
6884, 8027, 7586, 7585, 8026, 8048, 7607, 7606, 8047
6885, 8028, 7587, 7586, 8027, 8049, 7608, 7607, 8048
6886, 8029, 7588, 7587, 8028, 8050, 7609, 7608, 8049
6887, 8030, 7589, 7588, 8029, 8051, 7610, 7609, 8050
6888, 8031, 7590, 7589, 8030, 8052, 7611, 7610, 8051
6889, 8032, 7591, 7590, 8031, 8053, 7612, 7611, 8052
6890, 8033, 7592, 7591, 8032, 8054, 7613, 7612, 8053
6891, 8034, 7593, 7592, 8033, 8055, 7614, 7613, 8054
6892, 8035, 7594, 7593, 8034, 8056, 7615, 7614, 8055
6893, 8036, 7595, 7594, 8035, 8057, 7616, 7615, 8056
6894, 8037, 7596, 7595, 8036, 8058, 7617, 7616, 8057
6895, 8038, 7597, 7596, 8037, 8059, 7618, 7617, 8058
6896, 8039, 7598, 7597, 8038, 8060, 7619, 7618, 8059
6897, 8040, 7599, 7598, 8039, 8061, 7620, 7619, 8060
6898, 8041, 7600, 7599, 8040, 8062, 7621, 7620, 8061
6899, 8042, 7601, 7600, 8041, 8063, 7622, 7621, 8062
6900, 8043, 7602, 7601, 8042, 8064, 7623, 7622, 8063
6901, 8045, 7604, 7603, 8044, 8066, 7625, 7624, 8065
6902, 8046, 7605, 7604, 8045, 8067, 7626, 7625, 8066
6903, 8047, 7606, 7605, 8046, 8068, 7627, 7626, 8067
6904, 8048, 7607, 7606, 8047, 8069, 7628, 7627, 8068
6905, 8049, 7608, 7607, 8048, 8070, 7629, 7628, 8069
6906, 8050, 7609, 7608, 8049, 8071, 7630, 7629, 8070
6907, 8051, 7610, 7609, 8050, 8072, 7631, 7630, 8071
6908, 8052, 7611, 7610, 8051, 8073, 7632, 7631, 8072
6909, 8053, 7612, 7611, 8052, 8074, 7633, 7632, 8073
6910, 8054, 7613, 7612, 8053, 8075, 7634, 7633, 8074
6911, 8055, 7614, 7613, 8054, 8076, 7635, 7634, 8075
6912, 8056, 7615, 7614, 8055, 8077, 7636, 7635, 8076
6913, 8057, 7616, 7615, 8056, 8078, 7637, 7636, 8077
6914, 8058, 7617, 7616, 8057, 8079, 7638, 7637, 8078
6915, 8059, 7618, 7617, 8058, 8080, 7639, 7638, 8079
6916, 8060, 7619, 7618, 8059, 8081, 7640, 7639, 8080
6917, 8061, 7620, 7619, 8060, 8082, 7641, 7640, 8081
6918, 8062, 7621, 7620, 8061, 8083, 7642, 7641, 8082
6919, 8063, 7622, 7621, 8062, 8084, 7643, 7642, 8083
6920, 8064, 7623, 7622, 8063, 8085, 7644, 7643, 8084
6921, 8066, 7625, 7624, 8065, 8087, 7646, 7645, 8086
6922, 8067, 7626, 7625, 8066, 8088, 7647, 7646, 8087
6923, 8068, 7627, 7626, 8067, 8089, 7648, 7647, 8088
6924, 8069, 7628, 7627, 8068, 8090, 7649, 7648, 8089
6925, 8070, 7629, 7628, 8069, 8091, 7650, 7649, 8090
6926, 8071, 7630, 7629, 8070, 8092, 7651, 7650, 8091
6927, 8072, 7631, 7630, 8071, 8093, 7652, 7651, 8092
6928, 8073, 7632, 7631, 8072, 8094, 7653, 7652, 8093
6929, 8074, 7633, 7632, 8073, 8095, 7654, 7653, 8094
6930, 8075, 7634, 7633, 8074, 8096, 7655, 7654, 8095
6931, 8076, 7635, 7634, 8075, 8097, 7656, 7655, 8096
6932, 8077, 7636, 7635, 8076, 8098, 7657, 7656, 8097
6933, 8078, 7637, 7636, 8077, 8099, 7658, 7657, 8098
6934, 8079, 7638, 7637, 8078, 8100, 7659, 7658, 8099
6935, 8080, 7639, 7638, 8079, 8101, 7660, 7659, 8100
6936, 8081, 7640, 7639, 8080, 8102, 7661, 7660, 8101
6937, 8082, 7641, 7640, 8081, 8103, 7662, 7661, 8102
6938, 8083, 7642, 7641, 8082, 8104, 7663, 7662, 8103
6939, 8084, 7643, 7642, 8083, 8105, 7664, 7663, 8104
6940, 8085, 7644, 7643, 8084, 8106, 7665, 7664, 8105
6941, 8087, 7646, 7645, 8086, 8108, 7667, 7666, 8107
6942, 8088, 7647, 7646, 8087, 8109, 7668, 7667, 8108
6943, 8089, 7648, 7647, 8088, 8110, 7669, 7668, 8109
6944, 8090, 7649, 7648, 8089, 8111, 7670, 7669, 8110
6945, 8091, 7650, 7649, 8090, 8112, 7671, 7670, 8111
6946, 8092, 7651, 7650, 8091, 8113, 7672, 7671, 8112
6947, 8093, 7652, 7651, 8092, 8114, 7673, 7672, 8113
6948, 8094, 7653, 7652, 8093, 8115, 7674, 7673, 8114
6949, 8095, 7654, 7653, 8094, 8116, 7675, 7674, 8115
6950, 8096, 7655, 7654, 8095, 8117, 7676, 7675, 8116
6951, 8097, 7656, 7655, 8096, 8118, 7677, 7676, 8117
6952, 8098, 7657, 7656, 8097, 8119, 7678, 7677, 8118
6953, 8099, 7658, 7657, 8098, 8120, 7679, 7678, 8119
6954, 8100, 7659, 7658, 8099, 8121, 7680, 7679, 8120
6955, 8101, 7660, 7659, 8100, 8122, 7681, 7680, 8121
6956, 8102, 7661, 7660, 8101, 8123, 7682, 7681, 8122
6957, 8103, 7662, 7661, 8102, 8124, 7683, 7682, 8123
6958, 8104, 7663, 7662, 8103, 8125, 7684, 7683, 8124
6959, 8105, 7664, 7663, 8104, 8126, 7685, 7684, 8125
6960, 8106, 7665, 7664, 8105, 8127, 7686, 7685, 8126
6961, 8108, 7667, 7666, 8107, 8129, 7688, 7687, 8128
6962, 8109, 7668, 7667, 8108, 8130, 7689, 7688, 8129
6963, 8110, 7669, 7668, 8109, 8131, 7690, 7689, 8130
6964, 8111, 7670, 7669, 8110, 8132, 7691, 7690, 8131
6965, 8112, 7671, 7670, 8111, 8133, 7692, 7691, 8132
6966, 8113, 7672, 7671, 8112, 8134, 7693, 7692, 8133
6967, 8114, 7673, 7672, 8113, 8135, 7694, 7693, 8134
6968, 8115, 7674, 7673, 8114, 8136, 7695, 7694, 8135
6969, 8116, 7675, 7674, 8115, 8137, 7696, 7695, 8136
6970, 8117, 7676, 7675, 8116, 8138, 7697, 7696, 8137
6971, 8118, 7677, 7676, 8117, 8139, 7698, 7697, 8138
6972, 8119, 7678, 7677, 8118, 8140, 7699, 7698, 8139
6973, 8120, 7679, 7678, 8119, 8141, 7700, 7699, 8140
6974, 8121, 7680, 7679, 8120, 8142, 7701, 7700, 8141
6975, 8122, 7681, 7680, 8121, 8143, 7702, 7701, 8142
6976, 8123, 7682, 7681, 8122, 8144, 7703, 7702, 8143
6977, 8124, 7683, 7682, 8123, 8145, 7704, 7703, 8144
6978, 8125, 7684, 7683, 8124, 8146, 7705, 7704, 8145
6979, 8126, 7685, 7684, 8125, 8147, 7706, 7705, 8146
6980, 8127, 7686, 7685, 8126, 8148, 7707, 7706, 8147
6981, 8129, 7688, 7687, 8128, 8150, 7709, 7708, 8149
6982, 8130, 7689, 7688, 8129, 8151, 7710, 7709, 8150
6983, 8131, 7690, 7689, 8130, 8152, 7711, 7710, 8151
6984, 8132, 7691, 7690, 8131, 8153, 7712, 7711, 8152
6985, 8133, 7692, 7691, 8132, 8154, 7713, 7712, 8153
6986, 8134, 7693, 7692, 8133, 8155, 7714, 7713, 8154
6987, 8135, 7694, 7693, 8134, 8156, 7715, 7714, 8155
6988, 8136, 7695, 7694, 8135, 8157, 7716, 7715, 8156
6989, 8137, 7696, 7695, 8136, 8158, 7717, 7716, 8157
6990, 8138, 7697, 7696, 8137, 8159, 7718, 7717, 8158
6991, 8139, 7698, 7697, 8138, 8160, 7719, 7718, 8159
6992, 8140, 7699, 7698, 8139, 8161, 7720, 7719, 8160
6993, 8141, 7700, 7699, 8140, 8162, 7721, 7720, 8161
6994, 8142, 7701, 7700, 8141, 8163, 7722, 7721, 8162
6995, 8143, 7702, 7701, 8142, 8164, 7723, 7722, 8163
6996, 8144, 7703, 7702, 8143, 8165, 7724, 7723, 8164
6997, 8145, 7704, 7703, 8144, 8166, 7725, 7724, 8165
6998, 8146, 7705, 7704, 8145, 8167, 7726, 7725, 8166
6999, 8147, 7706, 7705, 8146, 8168, 7727, 7726, 8167
7000, 8148, 7707, 7706, 8147, 8169, 7728, 7727, 8168
7001, 8150, 7709, 7708, 8149, 8171, 7730, 7729, 8170
7002, 8151, 7710, 7709, 8150, 8172, 7731, 7730, 8171
7003, 8152, 7711, 7710, 8151, 8173, 7732, 7731, 8172
7004, 8153, 7712, 7711, 8152, 8174, 7733, 7732, 8173
7005, 8154, 7713, 7712, 8153, 8175, 7734, 7733, 8174
7006, 8155, 7714, 7713, 8154, 8176, 7735, 7734, 8175
7007, 8156, 7715, 7714, 8155, 8177, 7736, 7735, 8176
7008, 8157, 7716, 7715, 8156, 8178, 7737, 7736, 8177
7009, 8158, 7717, 7716, 8157, 8179, 7738, 7737, 8178
7010, 8159, 7718, 7717, 8158, 8180, 7739, 7738, 8179
7011, 8160, 7719, 7718, 8159, 8181, 7740, 7739, 8180
7012, 8161, 7720, 7719, 8160, 8182, 7741, 7740, 8181
7013, 8162, 7721, 7720, 8161, 8183, 7742, 7741, 8182
7014, 8163, 7722, 7721, 8162, 8184, 7743, 7742, 8183
7015, 8164, 7723, 7722, 8163, 8185, 7744, 7743, 8184
7016, 8165, 7724, 7723, 8164, 8186, 7745, 7744, 8185
7017, 8166, 7725, 7724, 8165, 8187, 7746, 7745, 8186
7018, 8167, 7726, 7725, 8166, 8188, 7747, 7746, 8187
7019, 8168, 7727, 7726, 8167, 8189, 7748, 7747, 8188
7020, 8169, 7728, 7727, 8168, 8190, 7749, 7748, 8189
7021, 8171, 7730, 7729, 8170, 8192, 7751, 7750, 8191
7022, 8172, 7731, 7730, 8171, 8193, 7752, 7751, 8192
7023, 8173, 7732, 7731, 8172, 8194, 7753, 7752, 8193
7024, 8174, 7733, 7732, 8173, 8195, 7754, 7753, 8194
7025, 8175, 7734, 7733, 8174, 8196, 7755, 7754, 8195
7026, 8176, 7735, 7734, 8175, 8197, 7756, 7755, 8196
7027, 8177, 7736, 7735, 8176, 8198, 7757, 7756, 8197
7028, 8178, 7737, 7736, 8177, 8199, 7758, 7757, 8198
7029, 8179, 7738, 7737, 8178, 8200, 7759, 7758, 8199
7030, 8180, 7739, 7738, 8179, 8201, 7760, 7759, 8200
7031, 8181, 7740, 7739, 8180, 8202, 7761, 7760, 8201
7032, 8182, 7741, 7740, 8181, 8203, 7762, 7761, 8202
7033, 8183, 7742, 7741, 8182, 8204, 7763, 7762, 8203
7034, 8184, 7743, 7742, 8183, 8205, 7764, 7763, 8204
7035, 8185, 7744, 7743, 8184, 8206, 7765, 7764, 8205
7036, 8186, 7745, 7744, 8185, 8207, 7766, 7765, 8206
7037, 8187, 7746, 7745, 8186, 8208, 7767, 7766, 8207
7038, 8188, 7747, 7746, 8187, 8209, 7768, 7767, 8208
7039, 8189, 7748, 7747, 8188, 8210, 7769, 7768, 8209
7040, 8190, 7749, 7748, 8189, 8211, 7770, 7769, 8210
7041, 8192, 7751, 7750, 8191, 8213, 7772, 7771, 8212
7042, 8193, 7752, 7751, 8192, 8214, 7773, 7772, 8213
7043, 8194, 7753, 7752, 8193, 8215, 7774, 7773, 8214
7044, 8195, 7754, 7753, 8194, 8216, 7775, 7774, 8215
7045, 8196, 7755, 7754, 8195, 8217, 7776, 7775, 8216
7046, 8197, 7756, 7755, 8196, 8218, 7777, 7776, 8217
7047, 8198, 7757, 7756, 8197, 8219, 7778, 7777, 8218
7048, 8199, 7758, 7757, 8198, 8220, 7779, 7778, 8219
7049, 8200, 7759, 7758, 8199, 8221, 7780, 7779, 8220
7050, 8201, 7760, 7759, 8200, 8222, 7781, 7780, 8221
7051, 8202, 7761, 7760, 8201, 8223, 7782, 7781, 8222
7052, 8203, 7762, 7761, 8202, 8224, 7783, 7782, 8223
7053, 8204, 7763, 7762, 8203, 8225, 7784, 7783, 8224
7054, 8205, 7764, 7763, 8204, 8226, 7785, 7784, 8225
7055, 8206, 7765, 7764, 8205, 8227, 7786, 7785, 8226
7056, 8207, 7766, 7765, 8206, 8228, 7787, 7786, 8227
7057, 8208, 7767, 7766, 8207, 8229, 7788, 7787, 8228
7058, 8209, 7768, 7767, 8208, 8230, 7789, 7788, 8229
7059, 8210, 7769, 7768, 8209, 8231, 7790, 7789, 8230
7060, 8211, 7770, 7769, 8210, 8232, 7791, 7790, 8231
7061, 8213, 7772, 7771, 8212, 8234, 7793, 7792, 8233
7062, 8214, 7773, 7772, 8213, 8235, 7794, 7793, 8234
7063, 8215, 7774, 7773, 8214, 8236, 7795, 7794, 8235
7064, 8216, 7775, 7774, 8215, 8237, 7796, 7795, 8236
7065, 8217, 7776, 7775, 8216, 8238, 7797, 7796, 8237
7066, 8218, 7777, 7776, 8217, 8239, 7798, 7797, 8238
7067, 8219, 7778, 7777, 8218, 8240, 7799, 7798, 8239
7068, 8220, 7779, 7778, 8219, 8241, 7800, 7799, 8240
7069, 8221, 7780, 7779, 8220, 8242, 7801, 7800, 8241
7070, 8222, 7781, 7780, 8221, 8243, 7802, 7801, 8242
7071, 8223, 7782, 7781, 8222, 8244, 7803, 7802, 8243
7072, 8224, 7783, 7782, 8223, 8245, 7804, 7803, 8244
7073, 8225, 7784, 7783, 8224, 8246, 7805, 7804, 8245
7074, 8226, 7785, 7784, 8225, 8247, 7806, 7805, 8246
7075, 8227, 7786, 7785, 8226, 8248, 7807, 7806, 8247
7076, 8228, 7787, 7786, 8227, 8249, 7808, 7807, 8248
7077, 8229, 7788, 7787, 8228, 8250, 7809, 7808, 8249
7078, 8230, 7789, 7788, 8229, 8251, 7810, 7809, 8250
7079, 8231, 7790, 7789, 8230, 8252, 7811, 7810, 8251
7080, 8232, 7791, 7790, 8231, 8253, 7812, 7811, 8252
7081, 8234, 7793, 7792, 8233, 8255, 7814, 7813, 8254
7082, 8235, 7794, 7793, 8234, 8256, 7815, 7814, 8255
7083, 8236, 7795, 7794, 8235, 8257, 7816, 7815, 8256
7084, 8237, 7796, 7795, 8236, 8258, 7817, 7816, 8257
7085, 8238, 7797, 7796, 8237, 8259, 7818, 7817, 8258
7086, 8239, 7798, 7797, 8238, 8260, 7819, 7818, 8259
7087, 8240, 7799, 7798, 8239, 8261, 7820, 7819, 8260
7088, 8241, 7800, 7799, 8240, 8262, 7821, 7820, 8261
7089, 8242, 7801, 7800, 8241, 8263, 7822, 7821, 8262
7090, 8243, 7802, 7801, 8242, 8264, 7823, 7822, 8263
7091, 8244, 7803, 7802, 8243, 8265, 7824, 7823, 8264
7092, 8245, 7804, 7803, 8244, 8266, 7825, 7824, 8265
7093, 8246, 7805, 7804, 8245, 8267, 7826, 7825, 8266
7094, 8247, 7806, 7805, 8246, 8268, 7827, 7826, 8267
7095, 8248, 7807, 7806, 8247, 8269, 7828, 7827, 8268
7096, 8249, 7808, 7807, 8248, 8270, 7829, 7828, 8269
7097, 8250, 7809, 7808, 8249, 8271, 7830, 7829, 8270
7098, 8251, 7810, 7809, 8250, 8272, 7831, 7830, 8271
7099, 8252, 7811, 7810, 8251, 8273, 7832, 7831, 8272
7100, 8253, 7812, 7811, 8252, 8274, 7833, 7832, 8273
7101, 8255, 7814, 7813, 8254, 8276, 7835, 7834, 8275
7102, 8256, 7815, 7814, 8255, 8277, 7836, 7835, 8276
7103, 8257, 7816, 7815, 8256, 8278, 7837, 7836, 8277
7104, 8258, 7817, 7816, 8257, 8279, 7838, 7837, 8278
7105, 8259, 7818, 7817, 8258, 8280, 7839, 7838, 8279
7106, 8260, 7819, 7818, 8259, 8281, 7840, 7839, 8280
7107, 8261, 7820, 7819, 8260, 8282, 7841, 7840, 8281
7108, 8262, 7821, 7820, 8261, 8283, 7842, 7841, 8282
7109, 8263, 7822, 7821, 8262, 8284, 7843, 7842, 8283
7110, 8264, 7823, 7822, 8263, 8285, 7844, 7843, 8284
7111, 8265, 7824, 7823, 8264, 8286, 7845, 7844, 8285
7112, 8266, 7825, 7824, 8265, 8287, 7846, 7845, 8286
7113, 8267, 7826, 7825, 8266, 8288, 7847, 7846, 8287
7114, 8268, 7827, 7826, 8267, 8289, 7848, 7847, 8288
7115, 8269, 7828, 7827, 8268, 8290, 7849, 7848, 8289
7116, 8270, 7829, 7828, 8269, 8291, 7850, 7849, 8290
7117, 8271, 7830, 7829, 8270, 8292, 7851, 7850, 8291
7118, 8272, 7831, 7830, 8271, 8293, 7852, 7851, 8292
7119, 8273, 7832, 7831, 8272, 8294, 7853, 7852, 8293
7120, 8274, 7833, 7832, 8273, 8295, 7854, 7853, 8294
7121, 8276, 7835, 7834, 8275, 8297, 7856, 7855, 8296
7122, 8277, 7836, 7835, 8276, 8298, 7857, 7856, 8297
7123, 8278, 7837, 7836, 8277, 8299, 7858, 7857, 8298
7124, 8279, 7838, 7837, 8278, 8300, 7859, 7858, 8299
7125, 8280, 7839, 7838, 8279, 8301, 7860, 7859, 8300
7126, 8281, 7840, 7839, 8280, 8302, 7861, 7860, 8301
7127, 8282, 7841, 7840, 8281, 8303, 7862, 7861, 8302
7128, 8283, 7842, 7841, 8282, 8304, 7863, 7862, 8303
7129, 8284, 7843, 7842, 8283, 8305, 7864, 7863, 8304
7130, 8285, 7844, 7843, 8284, 8306, 7865, 7864, 8305
7131, 8286, 7845, 7844, 8285, 8307, 7866, 7865, 8306
7132, 8287, 7846, 7845, 8286, 8308, 7867, 7866, 8307
7133, 8288, 7847, 7846, 8287, 8309, 7868, 7867, 8308
7134, 8289, 7848, 7847, 8288, 8310, 7869, 7868, 8309
7135, 8290, 7849, 7848, 8289, 8311, 7870, 7869, 8310
7136, 8291, 7850, 7849, 8290, 8312, 7871, 7870, 8311
7137, 8292, 7851, 7850, 8291, 8313, 7872, 7871, 8312
7138, 8293, 7852, 7851, 8292, 8314, 7873, 7872, 8313
7139, 8294, 7853, 7852, 8293, 8315, 7874, 7873, 8314
7140, 8295, 7854, 7853, 8294, 8316, 7875, 7874, 8315
7141, 8297, 7856, 7855, 8296, 8318, 7877, 7876, 8317
7142, 8298, 7857, 7856, 8297, 8319, 7878, 7877, 8318
7143, 8299, 7858, 7857, 8298, 8320, 7879, 7878, 8319
7144, 8300, 7859, 7858, 8299, 8321, 7880, 7879, 8320
7145, 8301, 7860, 7859, 8300, 8322, 7881, 7880, 8321
7146, 8302, 7861, 7860, 8301, 8323, 7882, 7881, 8322
7147, 8303, 7862, 7861, 8302, 8324, 7883, 7882, 8323
7148, 8304, 7863, 7862, 8303, 8325, 7884, 7883, 8324
7149, 8305, 7864, 7863, 8304, 8326, 7885, 7884, 8325
7150, 8306, 7865, 7864, 8305, 8327, 7886, 7885, 8326
7151, 8307, 7866, 7865, 8306, 8328, 7887, 7886, 8327
7152, 8308, 7867, 7866, 8307, 8329, 7888, 7887, 8328
7153, 8309, 7868, 7867, 8308, 8330, 7889, 7888, 8329
7154, 8310, 7869, 7868, 8309, 8331, 7890, 7889, 8330
7155, 8311, 7870, 7869, 8310, 8332, 7891, 7890, 8331
7156, 8312, 7871, 7870, 8311, 8333, 7892, 7891, 8332
7157, 8313, 7872, 7871, 8312, 8334, 7893, 7892, 8333
7158, 8314, 7873, 7872, 8313, 8335, 7894, 7893, 8334
7159, 8315, 7874, 7873, 8314, 8336, 7895, 7894, 8335
7160, 8316, 7875, 7874, 8315, 8337, 7896, 7895, 8336
7161, 8318, 7877, 7876, 8317, 8339, 7898, 7897, 8338
7162, 8319, 7878, 7877, 8318, 8340, 7899, 7898, 8339
7163, 8320, 7879, 7878, 8319, 8341, 7900, 7899, 8340
7164, 8321, 7880, 7879, 8320, 8342, 7901, 7900, 8341
7165, 8322, 7881, 7880, 8321, 8343, 7902, 7901, 8342
7166, 8323, 7882, 7881, 8322, 8344, 7903, 7902, 8343
7167, 8324, 7883, 7882, 8323, 8345, 7904, 7903, 8344
7168, 8325, 7884, 7883, 8324, 8346, 7905, 7904, 8345
7169, 8326, 7885, 7884, 8325, 8347, 7906, 7905, 8346
7170, 8327, 7886, 7885, 8326, 8348, 7907, 7906, 8347
7171, 8328, 7887, 7886, 8327, 8349, 7908, 7907, 8348
7172, 8329, 7888, 7887, 8328, 8350, 7909, 7908, 8349
7173, 8330, 7889, 7888, 8329, 8351, 7910, 7909, 8350
7174, 8331, 7890, 7889, 8330, 8352, 7911, 7910, 8351
7175, 8332, 7891, 7890, 8331, 8353, 7912, 7911, 8352
7176, 8333, 7892, 7891, 8332, 8354, 7913, 7912, 8353
7177, 8334, 7893, 7892, 8333, 8355, 7914, 7913, 8354
7178, 8335, 7894, 7893, 8334, 8356, 7915, 7914, 8355
7179, 8336, 7895, 7894, 8335, 8357, 7916, 7915, 8356
7180, 8337, 7896, 7895, 8336, 8358, 7917, 7916, 8357
7181, 8339, 7898, 7897, 8338, 8360, 7919, 7918, 8359
7182, 8340, 7899, 7898, 8339, 8361, 7920, 7919, 8360
7183, 8341, 7900, 7899, 8340, 8362, 7921, 7920, 8361
7184, 8342, 7901, 7900, 8341, 8363, 7922, 7921, 8362
7185, 8343, 7902, 7901, 8342, 8364, 7923, 7922, 8363
7186, 8344, 7903, 7902, 8343, 8365, 7924, 7923, 8364
7187, 8345, 7904, 7903, 8344, 8366, 7925, 7924, 8365
7188, 8346, 7905, 7904, 8345, 8367, 7926, 7925, 8366
7189, 8347, 7906, 7905, 8346, 8368, 7927, 7926, 8367
7190, 8348, 7907, 7906, 8347, 8369, 7928, 7927, 8368
7191, 8349, 7908, 7907, 8348, 8370, 7929, 7928, 8369
7192, 8350, 7909, 7908, 8349, 8371, 7930, 7929, 8370
7193, 8351, 7910, 7909, 8350, 8372, 7931, 7930, 8371
7194, 8352, 7911, 7910, 8351, 8373, 7932, 7931, 8372
7195, 8353, 7912, 7911, 8352, 8374, 7933, 7932, 8373
7196, 8354, 7913, 7912, 8353, 8375, 7934, 7933, 8374
7197, 8355, 7914, 7913, 8354, 8376, 7935, 7934, 8375
7198, 8356, 7915, 7914, 8355, 8377, 7936, 7935, 8376
7199, 8357, 7916, 7915, 8356, 8378, 7937, 7936, 8377
7200, 8358, 7917, 7916, 8357, 8379, 7938, 7937, 8378
7201, 8381, 7940, 7939, 8380, 8402, 7961, 7960, 8401
7202, 8382, 7941, 7940, 8381, 8403, 7962, 7961, 8402
7203, 8383, 7942, 7941, 8382, 8404, 7963, 7962, 8403
7204, 8384, 7943, 7942, 8383, 8405, 7964, 7963, 8404
7205, 8385, 7944, 7943, 8384, 8406, 7965, 7964, 8405
7206, 8386, 7945, 7944, 8385, 8407, 7966, 7965, 8406
7207, 8387, 7946, 7945, 8386, 8408, 7967, 7966, 8407
7208, 8388, 7947, 7946, 8387, 8409, 7968, 7967, 8408
7209, 8389, 7948, 7947, 8388, 8410, 7969, 7968, 8409
7210, 8390, 7949, 7948, 8389, 8411, 7970, 7969, 8410
7211, 8391, 7950, 7949, 8390, 8412, 7971, 7970, 8411
7212, 8392, 7951, 7950, 8391, 8413, 7972, 7971, 8412
7213, 8393, 7952, 7951, 8392, 8414, 7973, 7972, 8413
7214, 8394, 7953, 7952, 8393, 8415, 7974, 7973, 8414
7215, 8395, 7954, 7953, 8394, 8416, 7975, 7974, 8415
7216, 8396, 7955, 7954, 8395, 8417, 7976, 7975, 8416
7217, 8397, 7956, 7955, 8396, 8418, 7977, 7976, 8417
7218, 8398, 7957, 7956, 8397, 8419, 7978, 7977, 8418
7219, 8399, 7958, 7957, 8398, 8420, 7979, 7978, 8419
7220, 8400, 7959, 7958, 8399, 8421, 7980, 7979, 8420
7221, 8402, 7961, 7960, 8401, 8423, 7982, 7981, 8422
7222, 8403, 7962, 7961, 8402, 8424, 7983, 7982, 8423
7223, 8404, 7963, 7962, 8403, 8425, 7984, 7983, 8424
7224, 8405, 7964, 7963, 8404, 8426, 7985, 7984, 8425
7225, 8406, 7965, 7964, 8405, 8427, 7986, 7985, 8426
7226, 8407, 7966, 7965, 8406, 8428, 7987, 7986, 8427
7227, 8408, 7967, 7966, 8407, 8429, 7988, 7987, 8428
7228, 8409, 7968, 7967, 8408, 8430, 7989, 7988, 8429
7229, 8410, 7969, 7968, 8409, 8431, 7990, 7989, 8430
7230, 8411, 7970, 7969, 8410, 8432, 7991, 7990, 8431
7231, 8412, 7971, 7970, 8411, 8433, 7992, 7991, 8432
7232, 8413, 7972, 7971, 8412, 8434, 7993, 7992, 8433
7233, 8414, 7973, 7972, 8413, 8435, 7994, 7993, 8434
7234, 8415, 7974, 7973, 8414, 8436, 7995, 7994, 8435
7235, 8416, 7975, 7974, 8415, 8437, 7996, 7995, 8436
7236, 8417, 7976, 7975, 8416, 8438, 7997, 7996, 8437
7237, 8418, 7977, 7976, 8417, 8439, 7998, 7997, 8438
7238, 8419, 7978, 7977, 8418, 8440, 7999, 7998, 8439
7239, 8420, 7979, 7978, 8419, 8441, 8000, 7999, 8440
7240, 8421, 7980, 7979, 8420, 8442, 8001, 8000, 8441
7241, 8423, 7982, 7981, 8422, 8444, 8003, 8002, 8443
7242, 8424, 7983, 7982, 8423, 8445, 8004, 8003, 8444
7243, 8425, 7984, 7983, 8424, 8446, 8005, 8004, 8445
7244, 8426, 7985, 7984, 8425, 8447, 8006, 8005, 8446
7245, 8427, 7986, 7985, 8426, 8448, 8007, 8006, 8447
7246, 8428, 7987, 7986, 8427, 8449, 8008, 8007, 8448
7247, 8429, 7988, 7987, 8428, 8450, 8009, 8008, 8449
7248, 8430, 7989, 7988, 8429, 8451, 8010, 8009, 8450
7249, 8431, 7990, 7989, 8430, 8452, 8011, 8010, 8451
7250, 8432, 7991, 7990, 8431, 8453, 8012, 8011, 8452
7251, 8433, 7992, 7991, 8432, 8454, 8013, 8012, 8453
7252, 8434, 7993, 7992, 8433, 8455, 8014, 8013, 8454
7253, 8435, 7994, 7993, 8434, 8456, 8015, 8014, 8455
7254, 8436, 7995, 7994, 8435, 8457, 8016, 8015, 8456
7255, 8437, 7996, 7995, 8436, 8458, 8017, 8016, 8457
7256, 8438, 7997, 7996, 8437, 8459, 8018, 8017, 8458
7257, 8439, 7998, 7997, 8438, 8460, 8019, 8018, 8459
7258, 8440, 7999, 7998, 8439, 8461, 8020, 8019, 8460
7259, 8441, 8000, 7999, 8440, 8462, 8021, 8020, 8461
7260, 8442, 8001, 8000, 8441, 8463, 8022, 8021, 8462
7261, 8444, 8003, 8002, 8443, 8465, 8024, 8023, 8464
7262, 8445, 8004, 8003, 8444, 8466, 8025, 8024, 8465
7263, 8446, 8005, 8004, 8445, 8467, 8026, 8025, 8466
7264, 8447, 8006, 8005, 8446, 8468, 8027, 8026, 8467
7265, 8448, 8007, 8006, 8447, 8469, 8028, 8027, 8468
7266, 8449, 8008, 8007, 8448, 8470, 8029, 8028, 8469
7267, 8450, 8009, 8008, 8449, 8471, 8030, 8029, 8470
7268, 8451, 8010, 8009, 8450, 8472, 8031, 8030, 8471
7269, 8452, 8011, 8010, 8451, 8473, 8032, 8031, 8472
7270, 8453, 8012, 8011, 8452, 8474, 8033, 8032, 8473
7271, 8454, 8013, 8012, 8453, 8475, 8034, 8033, 8474
7272, 8455, 8014, 8013, 8454, 8476, 8035, 8034, 8475
7273, 8456, 8015, 8014, 8455, 8477, 8036, 8035, 8476
7274, 8457, 8016, 8015, 8456, 8478, 8037, 8036, 8477
7275, 8458, 8017, 8016, 8457, 8479, 8038, 8037, 8478
7276, 8459, 8018, 8017, 8458, 8480, 8039, 8038, 8479
7277, 8460, 8019, 8018, 8459, 8481, 8040, 8039, 8480
7278, 8461, 8020, 8019, 8460, 8482, 8041, 8040, 8481
7279, 8462, 8021, 8020, 8461, 8483, 8042, 8041, 8482
7280, 8463, 8022, 8021, 8462, 8484, 8043, 8042, 8483
7281, 8465, 8024, 8023, 8464, 8486, 8045, 8044, 8485
7282, 8466, 8025, 8024, 8465, 8487, 8046, 8045, 8486
7283, 8467, 8026, 8025, 8466, 8488, 8047, 8046, 8487
7284, 8468, 8027, 8026, 8467, 8489, 8048, 8047, 8488
7285, 8469, 8028, 8027, 8468, 8490, 8049, 8048, 8489
7286, 8470, 8029, 8028, 8469, 8491, 8050, 8049, 8490
7287, 8471, 8030, 8029, 8470, 8492, 8051, 8050, 8491
7288, 8472, 8031, 8030, 8471, 8493, 8052, 8051, 8492
7289, 8473, 8032, 8031, 8472, 8494, 8053, 8052, 8493
7290, 8474, 8033, 8032, 8473, 8495, 8054, 8053, 8494
7291, 8475, 8034, 8033, 8474, 8496, 8055, 8054, 8495
7292, 8476, 8035, 8034, 8475, 8497, 8056, 8055, 8496
7293, 8477, 8036, 8035, 8476, 8498, 8057, 8056, 8497
7294, 8478, 8037, 8036, 8477, 8499, 8058, 8057, 8498
7295, 8479, 8038, 8037, 8478, 8500, 8059, 8058, 8499
7296, 8480, 8039, 8038, 8479, 8501, 8060, 8059, 8500
7297, 8481, 8040, 8039, 8480, 8502, 8061, 8060, 8501
7298, 8482, 8041, 8040, 8481, 8503, 8062, 8061, 8502
7299, 8483, 8042, 8041, 8482, 8504, 8063, 8062, 8503
7300, 8484, 8043, 8042, 8483, 8505, 8064, 8063, 8504
7301, 8486, 8045, 8044, 8485, 8507, 8066, 8065, 8506
7302, 8487, 8046, 8045, 8486, 8508, 8067, 8066, 8507
7303, 8488, 8047, 8046, 8487, 8509, 8068, 8067, 8508
7304, 8489, 8048, 8047, 8488, 8510, 8069, 8068, 8509
7305, 8490, 8049, 8048, 8489, 8511, 8070, 8069, 8510
7306, 8491, 8050, 8049, 8490, 8512, 8071, 8070, 8511
7307, 8492, 8051, 8050, 8491, 8513, 8072, 8071, 8512
7308, 8493, 8052, 8051, 8492, 8514, 8073, 8072, 8513
7309, 8494, 8053, 8052, 8493, 8515, 8074, 8073, 8514
7310, 8495, 8054, 8053, 8494, 8516, 8075, 8074, 8515
7311, 8496, 8055, 8054, 8495, 8517, 8076, 8075, 8516
7312, 8497, 8056, 8055, 8496, 8518, 8077, 8076, 8517
7313, 8498, 8057, 8056, 8497, 8519, 8078, 8077, 8518
7314, 8499, 8058, 8057, 8498, 8520, 8079, 8078, 8519
7315, 8500, 8059, 8058, 8499, 8521, 8080, 8079, 8520
7316, 8501, 8060, 8059, 8500, 8522, 8081, 8080, 8521
7317, 8502, 8061, 8060, 8501, 8523, 8082, 8081, 8522
7318, 8503, 8062, 8061, 8502, 8524, 8083, 8082, 8523
7319, 8504, 8063, 8062, 8503, 8525, 8084, 8083, 8524
7320, 8505, 8064, 8063, 8504, 8526, 8085, 8084, 8525
7321, 8507, 8066, 8065, 8506, 8528, 8087, 8086, 8527
7322, 8508, 8067, 8066, 8507, 8529, 8088, 8087, 8528
7323, 8509, 8068, 8067, 8508, 8530, 8089, 8088, 8529
7324, 8510, 8069, 8068, 8509, 8531, 8090, 8089, 8530
7325, 8511, 8070, 8069, 8510, 8532, 8091, 8090, 8531
7326, 8512, 8071, 8070, 8511, 8533, 8092, 8091, 8532
7327, 8513, 8072, 8071, 8512, 8534, 8093, 8092, 8533
7328, 8514, 8073, 8072, 8513, 8535, 8094, 8093, 8534
7329, 8515, 8074, 8073, 8514, 8536, 8095, 8094, 8535
7330, 8516, 8075, 8074, 8515, 8537, 8096, 8095, 8536
7331, 8517, 8076, 8075, 8516, 8538, 8097, 8096, 8537
7332, 8518, 8077, 8076, 8517, 8539, 8098, 8097, 8538
7333, 8519, 8078, 8077, 8518, 8540, 8099, 8098, 8539
7334, 8520, 8079, 8078, 8519, 8541, 8100, 8099, 8540
7335, 8521, 8080, 8079, 8520, 8542, 8101, 8100, 8541
7336, 8522, 8081, 8080, 8521, 8543, 8102, 8101, 8542
7337, 8523, 8082, 8081, 8522, 8544, 8103, 8102, 8543
7338, 8524, 8083, 8082, 8523, 8545, 8104, 8103, 8544
7339, 8525, 8084, 8083, 8524, 8546, 8105, 8104, 8545
7340, 8526, 8085, 8084, 8525, 8547, 8106, 8105, 8546
7341, 8528, 8087, 8086, 8527, 8549, 8108, 8107, 8548
7342, 8529, 8088, 8087, 8528, 8550, 8109, 8108, 8549
7343, 8530, 8089, 8088, 8529, 8551, 8110, 8109, 8550
7344, 8531, 8090, 8089, 8530, 8552, 8111, 8110, 8551
7345, 8532, 8091, 8090, 8531, 8553, 8112, 8111, 8552
7346, 8533, 8092, 8091, 8532, 8554, 8113, 8112, 8553
7347, 8534, 8093, 8092, 8533, 8555, 8114, 8113, 8554
7348, 8535, 8094, 8093, 8534, 8556, 8115, 8114, 8555
7349, 8536, 8095, 8094, 8535, 8557, 8116, 8115, 8556
7350, 8537, 8096, 8095, 8536, 8558, 8117, 8116, 8557
7351, 8538, 8097, 8096, 8537, 8559, 8118, 8117, 8558
7352, 8539, 8098, 8097, 8538, 8560, 8119, 8118, 8559
7353, 8540, 8099, 8098, 8539, 8561, 8120, 8119, 8560
7354, 8541, 8100, 8099, 8540, 8562, 8121, 8120, 8561
7355, 8542, 8101, 8100, 8541, 8563, 8122, 8121, 8562
7356, 8543, 8102, 8101, 8542, 8564, 8123, 8122, 8563
7357, 8544, 8103, 8102, 8543, 8565, 8124, 8123, 8564
7358, 8545, 8104, 8103, 8544, 8566, 8125, 8124, 8565
7359, 8546, 8105, 8104, 8545, 8567, 8126, 8125, 8566
7360, 8547, 8106, 8105, 8546, 8568, 8127, 8126, 8567
7361, 8549, 8108, 8107, 8548, 8570, 8129, 8128, 8569
7362, 8550, 8109, 8108, 8549, 8571, 8130, 8129, 8570
7363, 8551, 8110, 8109, 8550, 8572, 8131, 8130, 8571
7364, 8552, 8111, 8110, 8551, 8573, 8132, 8131, 8572
7365, 8553, 8112, 8111, 8552, 8574, 8133, 8132, 8573
7366, 8554, 8113, 8112, 8553, 8575, 8134, 8133, 8574
7367, 8555, 8114, 8113, 8554, 8576, 8135, 8134, 8575
7368, 8556, 8115, 8114, 8555, 8577, 8136, 8135, 8576
7369, 8557, 8116, 8115, 8556, 8578, 8137, 8136, 8577
7370, 8558, 8117, 8116, 8557, 8579, 8138, 8137, 8578
7371, 8559, 8118, 8117, 8558, 8580, 8139, 8138, 8579
7372, 8560, 8119, 8118, 8559, 8581, 8140, 8139, 8580
7373, 8561, 8120, 8119, 8560, 8582, 8141, 8140, 8581
7374, 8562, 8121, 8120, 8561, 8583, 8142, 8141, 8582
7375, 8563, 8122, 8121, 8562, 8584, 8143, 8142, 8583
7376, 8564, 8123, 8122, 8563, 8585, 8144, 8143, 8584
7377, 8565, 8124, 8123, 8564, 8586, 8145, 8144, 8585
7378, 8566, 8125, 8124, 8565, 8587, 8146, 8145, 8586
7379, 8567, 8126, 8125, 8566, 8588, 8147, 8146, 8587
7380, 8568, 8127, 8126, 8567, 8589, 8148, 8147, 8588
7381, 8570, 8129, 8128, 8569, 8591, 8150, 8149, 8590
7382, 8571, 8130, 8129, 8570, 8592, 8151, 8150, 8591
7383, 8572, 8131, 8130, 8571, 8593, 8152, 8151, 8592
7384, 8573, 8132, 8131, 8572, 8594, 8153, 8152, 8593
7385, 8574, 8133, 8132, 8573, 8595, 8154, 8153, 8594
7386, 8575, 8134, 8133, 8574, 8596, 8155, 8154, 8595
7387, 8576, 8135, 8134, 8575, 8597, 8156, 8155, 8596
7388, 8577, 8136, 8135, 8576, 8598, 8157, 8156, 8597
7389, 8578, 8137, 8136, 8577, 8599, 8158, 8157, 8598
7390, 8579, 8138, 8137, 8578, 8600, 8159, 8158, 8599
7391, 8580, 8139, 8138, 8579, 8601, 8160, 8159, 8600
7392, 8581, 8140, 8139, 8580, 8602, 8161, 8160, 8601
7393, 8582, 8141, 8140, 8581, 8603, 8162, 8161, 8602
7394, 8583, 8142, 8141, 8582, 8604, 8163, 8162, 8603
7395, 8584, 8143, 8142, 8583, 8605, 8164, 8163, 8604
7396, 8585, 8144, 8143, 8584, 8606, 8165, 8164, 8605
7397, 8586, 8145, 8144, 8585, 8607, 8166, 8165, 8606
7398, 8587, 8146, 8145, 8586, 8608, 8167, 8166, 8607
7399, 8588, 8147, 8146, 8587, 8609, 8168, 8167, 8608
7400, 8589, 8148, 8147, 8588, 8610, 8169, 8168, 8609
7401, 8591, 8150, 8149, 8590, 8612, 8171, 8170, 8611
7402, 8592, 8151, 8150, 8591, 8613, 8172, 8171, 8612
7403, 8593, 8152, 8151, 8592, 8614, 8173, 8172, 8613
7404, 8594, 8153, 8152, 8593, 8615, 8174, 8173, 8614
7405, 8595, 8154, 8153, 8594, 8616, 8175, 8174, 8615
7406, 8596, 8155, 8154, 8595, 8617, 8176, 8175, 8616
7407, 8597, 8156, 8155, 8596, 8618, 8177, 8176, 8617
7408, 8598, 8157, 8156, 8597, 8619, 8178, 8177, 8618
7409, 8599, 8158, 8157, 8598, 8620, 8179, 8178, 8619
7410, 8600, 8159, 8158, 8599, 8621, 8180, 8179, 8620
7411, 8601, 8160, 8159, 8600, 8622, 8181, 8180, 8621
7412, 8602, 8161, 8160, 8601, 8623, 8182, 8181, 8622
7413, 8603, 8162, 8161, 8602, 8624, 8183, 8182, 8623
7414, 8604, 8163, 8162, 8603, 8625, 8184, 8183, 8624
7415, 8605, 8164, 8163, 8604, 8626, 8185, 8184, 8625
7416, 8606, 8165, 8164, 8605, 8627, 8186, 8185, 8626
7417, 8607, 8166, 8165, 8606, 8628, 8187, 8186, 8627
7418, 8608, 8167, 8166, 8607, 8629, 8188, 8187, 8628
7419, 8609, 8168, 8167, 8608, 8630, 8189, 8188, 8629
7420, 8610, 8169, 8168, 8609, 8631, 8190, 8189, 8630
7421, 8612, 8171, 8170, 8611, 8633, 8192, 8191, 8632
7422, 8613, 8172, 8171, 8612, 8634, 8193, 8192, 8633
7423, 8614, 8173, 8172, 8613, 8635, 8194, 8193, 8634
7424, 8615, 8174, 8173, 8614, 8636, 8195, 8194, 8635
7425, 8616, 8175, 8174, 8615, 8637, 8196, 8195, 8636
7426, 8617, 8176, 8175, 8616, 8638, 8197, 8196, 8637
7427, 8618, 8177, 8176, 8617, 8639, 8198, 8197, 8638
7428, 8619, 8178, 8177, 8618, 8640, 8199, 8198, 8639
7429, 8620, 8179, 8178, 8619, 8641, 8200, 8199, 8640
7430, 8621, 8180, 8179, 8620, 8642, 8201, 8200, 8641
7431, 8622, 8181, 8180, 8621, 8643, 8202, 8201, 8642
7432, 8623, 8182, 8181, 8622, 8644, 8203, 8202, 8643
7433, 8624, 8183, 8182, 8623, 8645, 8204, 8203, 8644
7434, 8625, 8184, 8183, 8624, 8646, 8205, 8204, 8645
7435, 8626, 8185, 8184, 8625, 8647, 8206, 8205, 8646
7436, 8627, 8186, 8185, 8626, 8648, 8207, 8206, 8647
7437, 8628, 8187, 8186, 8627, 8649, 8208, 8207, 8648
7438, 8629, 8188, 8187, 8628, 8650, 8209, 8208, 8649
7439, 8630, 8189, 8188, 8629, 8651, 8210, 8209, 8650
7440, 8631, 8190, 8189, 8630, 8652, 8211, 8210, 8651
7441, 8633, 8192, 8191, 8632, 8654, 8213, 8212, 8653
7442, 8634, 8193, 8192, 8633, 8655, 8214, 8213, 8654
7443, 8635, 8194, 8193, 8634, 8656, 8215, 8214, 8655
7444, 8636, 8195, 8194, 8635, 8657, 8216, 8215, 8656
7445, 8637, 8196, 8195, 8636, 8658, 8217, 8216, 8657
7446, 8638, 8197, 8196, 8637, 8659, 8218, 8217, 8658
7447, 8639, 8198, 8197, 8638, 8660, 8219, 8218, 8659
7448, 8640, 8199, 8198, 8639, 8661, 8220, 8219, 8660
7449, 8641, 8200, 8199, 8640, 8662, 8221, 8220, 8661
7450, 8642, 8201, 8200, 8641, 8663, 8222, 8221, 8662
7451, 8643, 8202, 8201, 8642, 8664, 8223, 8222, 8663
7452, 8644, 8203, 8202, 8643, 8665, 8224, 8223, 8664
7453, 8645, 8204, 8203, 8644, 8666, 8225, 8224, 8665
7454, 8646, 8205, 8204, 8645, 8667, 8226, 8225, 8666
7455, 8647, 8206, 8205, 8646, 8668, 8227, 8226, 8667
7456, 8648, 8207, 8206, 8647, 8669, 8228, 8227, 8668
7457, 8649, 8208, 8207, 8648, 8670, 8229, 8228, 8669
7458, 8650, 8209, 8208, 8649, 8671, 8230, 8229, 8670
7459, 8651, 8210, 8209, 8650, 8672, 8231, 8230, 8671
7460, 8652, 8211, 8210, 8651, 8673, 8232, 8231, 8672
7461, 8654, 8213, 8212, 8653, 8675, 8234, 8233, 8674
7462, 8655, 8214, 8213, 8654, 8676, 8235, 8234, 8675
7463, 8656, 8215, 8214, 8655, 8677, 8236, 8235, 8676
7464, 8657, 8216, 8215, 8656, 8678, 8237, 8236, 8677
7465, 8658, 8217, 8216, 8657, 8679, 8238, 8237, 8678
7466, 8659, 8218, 8217, 8658, 8680, 8239, 8238, 8679
7467, 8660, 8219, 8218, 8659, 8681, 8240, 8239, 8680
7468, 8661, 8220, 8219, 8660, 8682, 8241, 8240, 8681
7469, 8662, 8221, 8220, 8661, 8683, 8242, 8241, 8682
7470, 8663, 8222, 8221, 8662, 8684, 8243, 8242, 8683
7471, 8664, 8223, 8222, 8663, 8685, 8244, 8243, 8684
7472, 8665, 8224, 8223, 8664, 8686, 8245, 8244, 8685
7473, 8666, 8225, 8224, 8665, 8687, 8246, 8245, 8686
7474, 8667, 8226, 8225, 8666, 8688, 8247, 8246, 8687
7475, 8668, 8227, 8226, 8667, 8689, 8248, 8247, 8688
7476, 8669, 8228, 8227, 8668, 8690, 8249, 8248, 8689
7477, 8670, 8229, 8228, 8669, 8691, 8250, 8249, 8690
7478, 8671, 8230, 8229, 8670, 8692, 8251, 8250, 8691
7479, 8672, 8231, 8230, 8671, 8693, 8252, 8251, 8692
7480, 8673, 8232, 8231, 8672, 8694, 8253, 8252, 8693
7481, 8675, 8234, 8233, 8674, 8696, 8255, 8254, 8695
7482, 8676, 8235, 8234, 8675, 8697, 8256, 8255, 8696
7483, 8677, 8236, 8235, 8676, 8698, 8257, 8256, 8697
7484, 8678, 8237, 8236, 8677, 8699, 8258, 8257, 8698
7485, 8679, 8238, 8237, 8678, 8700, 8259, 8258, 8699
7486, 8680, 8239, 8238, 8679, 8701, 8260, 8259, 8700
7487, 8681, 8240, 8239, 8680, 8702, 8261, 8260, 8701
7488, 8682, 8241, 8240, 8681, 8703, 8262, 8261, 8702
7489, 8683, 8242, 8241, 8682, 8704, 8263, 8262, 8703
7490, 8684, 8243, 8242, 8683, 8705, 8264, 8263, 8704
7491, 8685, 8244, 8243, 8684, 8706, 8265, 8264, 8705
7492, 8686, 8245, 8244, 8685, 8707, 8266, 8265, 8706
7493, 8687, 8246, 8245, 8686, 8708, 8267, 8266, 8707
7494, 8688, 8247, 8246, 8687, 8709, 8268, 8267, 8708
7495, 8689, 8248, 8247, 8688, 8710, 8269, 8268, 8709
7496, 8690, 8249, 8248, 8689, 8711, 8270, 8269, 8710
7497, 8691, 8250, 8249, 8690, 8712, 8271, 8270, 8711
7498, 8692, 8251, 8250, 8691, 8713, 8272, 8271, 8712
7499, 8693, 8252, 8251, 8692, 8714, 8273, 8272, 8713
7500, 8694, 8253, 8252, 8693, 8715, 8274, 8273, 8714
7501, 8696, 8255, 8254, 8695, 8717, 8276, 8275, 8716
7502, 8697, 8256, 8255, 8696, 8718, 8277, 8276, 8717
7503, 8698, 8257, 8256, 8697, 8719, 8278, 8277, 8718
7504, 8699, 8258, 8257, 8698, 8720, 8279, 8278, 8719
7505, 8700, 8259, 8258, 8699, 8721, 8280, 8279, 8720
7506, 8701, 8260, 8259, 8700, 8722, 8281, 8280, 8721
7507, 8702, 8261, 8260, 8701, 8723, 8282, 8281, 8722
7508, 8703, 8262, 8261, 8702, 8724, 8283, 8282, 8723
7509, 8704, 8263, 8262, 8703, 8725, 8284, 8283, 8724
7510, 8705, 8264, 8263, 8704, 8726, 8285, 8284, 8725
7511, 8706, 8265, 8264, 8705, 8727, 8286, 8285, 8726
7512, 8707, 8266, 8265, 8706, 8728, 8287, 8286, 8727
7513, 8708, 8267, 8266, 8707, 8729, 8288, 8287, 8728
7514, 8709, 8268, 8267, 8708, 8730, 8289, 8288, 8729
7515, 8710, 8269, 8268, 8709, 8731, 8290, 8289, 8730
7516, 8711, 8270, 8269, 8710, 8732, 8291, 8290, 8731
7517, 8712, 8271, 8270, 8711, 8733, 8292, 8291, 8732
7518, 8713, 8272, 8271, 8712, 8734, 8293, 8292, 8733
7519, 8714, 8273, 8272, 8713, 8735, 8294, 8293, 8734
7520, 8715, 8274, 8273, 8714, 8736, 8295, 8294, 8735
7521, 8717, 8276, 8275, 8716, 8738, 8297, 8296, 8737
7522, 8718, 8277, 8276, 8717, 8739, 8298, 8297, 8738
7523, 8719, 8278, 8277, 8718, 8740, 8299, 8298, 8739
7524, 8720, 8279, 8278, 8719, 8741, 8300, 8299, 8740
7525, 8721, 8280, 8279, 8720, 8742, 8301, 8300, 8741
7526, 8722, 8281, 8280, 8721, 8743, 8302, 8301, 8742
7527, 8723, 8282, 8281, 8722, 8744, 8303, 8302, 8743
7528, 8724, 8283, 8282, 8723, 8745, 8304, 8303, 8744
7529, 8725, 8284, 8283, 8724, 8746, 8305, 8304, 8745
7530, 8726, 8285, 8284, 8725, 8747, 8306, 8305, 8746
7531, 8727, 8286, 8285, 8726, 8748, 8307, 8306, 8747
7532, 8728, 8287, 8286, 8727, 8749, 8308, 8307, 8748
7533, 8729, 8288, 8287, 8728, 8750, 8309, 8308, 8749
7534, 8730, 8289, 8288, 8729, 8751, 8310, 8309, 8750
7535, 8731, 8290, 8289, 8730, 8752, 8311, 8310, 8751
7536, 8732, 8291, 8290, 8731, 8753, 8312, 8311, 8752
7537, 8733, 8292, 8291, 8732, 8754, 8313, 8312, 8753
7538, 8734, 8293, 8292, 8733, 8755, 8314, 8313, 8754
7539, 8735, 8294, 8293, 8734, 8756, 8315, 8314, 8755
7540, 8736, 8295, 8294, 8735, 8757, 8316, 8315, 8756
7541, 8738, 8297, 8296, 8737, 8759, 8318, 8317, 8758
7542, 8739, 8298, 8297, 8738, 8760, 8319, 8318, 8759
7543, 8740, 8299, 8298, 8739, 8761, 8320, 8319, 8760
7544, 8741, 8300, 8299, 8740, 8762, 8321, 8320, 8761
7545, 8742, 8301, 8300, 8741, 8763, 8322, 8321, 8762
7546, 8743, 8302, 8301, 8742, 8764, 8323, 8322, 8763
7547, 8744, 8303, 8302, 8743, 8765, 8324, 8323, 8764
7548, 8745, 8304, 8303, 8744, 8766, 8325, 8324, 8765
7549, 8746, 8305, 8304, 8745, 8767, 8326, 8325, 8766
7550, 8747, 8306, 8305, 8746, 8768, 8327, 8326, 8767
7551, 8748, 8307, 8306, 8747, 8769, 8328, 8327, 8768
7552, 8749, 8308, 8307, 8748, 8770, 8329, 8328, 8769
7553, 8750, 8309, 8308, 8749, 8771, 8330, 8329, 8770
7554, 8751, 8310, 8309, 8750, 8772, 8331, 8330, 8771
7555, 8752, 8311, 8310, 8751, 8773, 8332, 8331, 8772
7556, 8753, 8312, 8311, 8752, 8774, 8333, 8332, 8773
7557, 8754, 8313, 8312, 8753, 8775, 8334, 8333, 8774
7558, 8755, 8314, 8313, 8754, 8776, 8335, 8334, 8775
7559, 8756, 8315, 8314, 8755, 8777, 8336, 8335, 8776
7560, 8757, 8316, 8315, 8756, 8778, 8337, 8336, 8777
7561, 8759, 8318, 8317, 8758, 8780, 8339, 8338, 8779
7562, 8760, 8319, 8318, 8759, 8781, 8340, 8339, 8780
7563, 8761, 8320, 8319, 8760, 8782, 8341, 8340, 8781
7564, 8762, 8321, 8320, 8761, 8783, 8342, 8341, 8782
7565, 8763, 8322, 8321, 8762, 8784, 8343, 8342, 8783
7566, 8764, 8323, 8322, 8763, 8785, 8344, 8343, 8784
7567, 8765, 8324, 8323, 8764, 8786, 8345, 8344, 8785
7568, 8766, 8325, 8324, 8765, 8787, 8346, 8345, 8786
7569, 8767, 8326, 8325, 8766, 8788, 8347, 8346, 8787
7570, 8768, 8327, 8326, 8767, 8789, 8348, 8347, 8788
7571, 8769, 8328, 8327, 8768, 8790, 8349, 8348, 8789
7572, 8770, 8329, 8328, 8769, 8791, 8350, 8349, 8790
7573, 8771, 8330, 8329, 8770, 8792, 8351, 8350, 8791
7574, 8772, 8331, 8330, 8771, 8793, 8352, 8351, 8792
7575, 8773, 8332, 8331, 8772, 8794, 8353, 8352, 8793
7576, 8774, 8333, 8332, 8773, 8795, 8354, 8353, 8794
7577, 8775, 8334, 8333, 8774, 8796, 8355, 8354, 8795
7578, 8776, 8335, 8334, 8775, 8797, 8356, 8355, 8796
7579, 8777, 8336, 8335, 8776, 8798, 8357, 8356, 8797
7580, 8778, 8337, 8336, 8777, 8799, 8358, 8357, 8798
7581, 8780, 8339, 8338, 8779, 8801, 8360, 8359, 8800
7582, 8781, 8340, 8339, 8780, 8802, 8361, 8360, 8801
7583, 8782, 8341, 8340, 8781, 8803, 8362, 8361, 8802
7584, 8783, 8342, 8341, 8782, 8804, 8363, 8362, 8803
7585, 8784, 8343, 8342, 8783, 8805, 8364, 8363, 8804
7586, 8785, 8344, 8343, 8784, 8806, 8365, 8364, 8805
7587, 8786, 8345, 8344, 8785, 8807, 8366, 8365, 8806
7588, 8787, 8346, 8345, 8786, 8808, 8367, 8366, 8807
7589, 8788, 8347, 8346, 8787, 8809, 8368, 8367, 8808
7590, 8789, 8348, 8347, 8788, 8810, 8369, 8368, 8809
7591, 8790, 8349, 8348, 8789, 8811, 8370, 8369, 8810
7592, 8791, 8350, 8349, 8790, 8812, 8371, 8370, 8811
7593, 8792, 8351, 8350, 8791, 8813, 8372, 8371, 8812
7594, 8793, 8352, 8351, 8792, 8814, 8373, 8372, 8813
7595, 8794, 8353, 8352, 8793, 8815, 8374, 8373, 8814
7596, 8795, 8354, 8353, 8794, 8816, 8375, 8374, 8815
7597, 8796, 8355, 8354, 8795, 8817, 8376, 8375, 8816
7598, 8797, 8356, 8355, 8796, 8818, 8377, 8376, 8817
7599, 8798, 8357, 8356, 8797, 8819, 8378, 8377, 8818
7600, 8799, 8358, 8357, 8798, 8820, 8379, 8378, 8819
7601, 8822, 8381, 8380, 8821, 8843, 8402, 8401, 8842
7602, 8823, 8382, 8381, 8822, 8844, 8403, 8402, 8843
7603, 8824, 8383, 8382, 8823, 8845, 8404, 8403, 8844
7604, 8825, 8384, 8383, 8824, 8846, 8405, 8404, 8845
7605, 8826, 8385, 8384, 8825, 8847, 8406, 8405, 8846
7606, 8827, 8386, 8385, 8826, 8848, 8407, 8406, 8847
7607, 8828, 8387, 8386, 8827, 8849, 8408, 8407, 8848
7608, 8829, 8388, 8387, 8828, 8850, 8409, 8408, 8849
7609, 8830, 8389, 8388, 8829, 8851, 8410, 8409, 8850
7610, 8831, 8390, 8389, 8830, 8852, 8411, 8410, 8851
7611, 8832, 8391, 8390, 8831, 8853, 8412, 8411, 8852
7612, 8833, 8392, 8391, 8832, 8854, 8413, 8412, 8853
7613, 8834, 8393, 8392, 8833, 8855, 8414, 8413, 8854
7614, 8835, 8394, 8393, 8834, 8856, 8415, 8414, 8855
7615, 8836, 8395, 8394, 8835, 8857, 8416, 8415, 8856
7616, 8837, 8396, 8395, 8836, 8858, 8417, 8416, 8857
7617, 8838, 8397, 8396, 8837, 8859, 8418, 8417, 8858
7618, 8839, 8398, 8397, 8838, 8860, 8419, 8418, 8859
7619, 8840, 8399, 8398, 8839, 8861, 8420, 8419, 8860
7620, 8841, 8400, 8399, 8840, 8862, 8421, 8420, 8861
7621, 8843, 8402, 8401, 8842, 8864, 8423, 8422, 8863
7622, 8844, 8403, 8402, 8843, 8865, 8424, 8423, 8864
7623, 8845, 8404, 8403, 8844, 8866, 8425, 8424, 8865
7624, 8846, 8405, 8404, 8845, 8867, 8426, 8425, 8866
7625, 8847, 8406, 8405, 8846, 8868, 8427, 8426, 8867
7626, 8848, 8407, 8406, 8847, 8869, 8428, 8427, 8868
7627, 8849, 8408, 8407, 8848, 8870, 8429, 8428, 8869
7628, 8850, 8409, 8408, 8849, 8871, 8430, 8429, 8870
7629, 8851, 8410, 8409, 8850, 8872, 8431, 8430, 8871
7630, 8852, 8411, 8410, 8851, 8873, 8432, 8431, 8872
7631, 8853, 8412, 8411, 8852, 8874, 8433, 8432, 8873
7632, 8854, 8413, 8412, 8853, 8875, 8434, 8433, 8874
7633, 8855, 8414, 8413, 8854, 8876, 8435, 8434, 8875
7634, 8856, 8415, 8414, 8855, 8877, 8436, 8435, 8876
7635, 8857, 8416, 8415, 8856, 8878, 8437, 8436, 8877
7636, 8858, 8417, 8416, 8857, 8879, 8438, 8437, 8878
7637, 8859, 8418, 8417, 8858, 8880, 8439, 8438, 8879
7638, 8860, 8419, 8418, 8859, 8881, 8440, 8439, 8880
7639, 8861, 8420, 8419, 8860, 8882, 8441, 8440, 8881
7640, 8862, 8421, 8420, 8861, 8883, 8442, 8441, 8882
7641, 8864, 8423, 8422, 8863, 8885, 8444, 8443, 8884
7642, 8865, 8424, 8423, 8864, 8886, 8445, 8444, 8885
7643, 8866, 8425, 8424, 8865, 8887, 8446, 8445, 8886
7644, 8867, 8426, 8425, 8866, 8888, 8447, 8446, 8887
7645, 8868, 8427, 8426, 8867, 8889, 8448, 8447, 8888
7646, 8869, 8428, 8427, 8868, 8890, 8449, 8448, 8889
7647, 8870, 8429, 8428, 8869, 8891, 8450, 8449, 8890
7648, 8871, 8430, 8429, 8870, 8892, 8451, 8450, 8891
7649, 8872, 8431, 8430, 8871, 8893, 8452, 8451, 8892
7650, 8873, 8432, 8431, 8872, 8894, 8453, 8452, 8893
7651, 8874, 8433, 8432, 8873, 8895, 8454, 8453, 8894
7652, 8875, 8434, 8433, 8874, 8896, 8455, 8454, 8895
7653, 8876, 8435, 8434, 8875, 8897, 8456, 8455, 8896
7654, 8877, 8436, 8435, 8876, 8898, 8457, 8456, 8897
7655, 8878, 8437, 8436, 8877, 8899, 8458, 8457, 8898
7656, 8879, 8438, 8437, 8878, 8900, 8459, 8458, 8899
7657, 8880, 8439, 8438, 8879, 8901, 8460, 8459, 8900
7658, 8881, 8440, 8439, 8880, 8902, 8461, 8460, 8901
7659, 8882, 8441, 8440, 8881, 8903, 8462, 8461, 8902
7660, 8883, 8442, 8441, 8882, 8904, 8463, 8462, 8903
7661, 8885, 8444, 8443, 8884, 8906, 8465, 8464, 8905
7662, 8886, 8445, 8444, 8885, 8907, 8466, 8465, 8906
7663, 8887, 8446, 8445, 8886, 8908, 8467, 8466, 8907
7664, 8888, 8447, 8446, 8887, 8909, 8468, 8467, 8908
7665, 8889, 8448, 8447, 8888, 8910, 8469, 8468, 8909
7666, 8890, 8449, 8448, 8889, 8911, 8470, 8469, 8910
7667, 8891, 8450, 8449, 8890, 8912, 8471, 8470, 8911
7668, 8892, 8451, 8450, 8891, 8913, 8472, 8471, 8912
7669, 8893, 8452, 8451, 8892, 8914, 8473, 8472, 8913
7670, 8894, 8453, 8452, 8893, 8915, 8474, 8473, 8914
7671, 8895, 8454, 8453, 8894, 8916, 8475, 8474, 8915
7672, 8896, 8455, 8454, 8895, 8917, 8476, 8475, 8916
7673, 8897, 8456, 8455, 8896, 8918, 8477, 8476, 8917
7674, 8898, 8457, 8456, 8897, 8919, 8478, 8477, 8918
7675, 8899, 8458, 8457, 8898, 8920, 8479, 8478, 8919
7676, 8900, 8459, 8458, 8899, 8921, 8480, 8479, 8920
7677, 8901, 8460, 8459, 8900, 8922, 8481, 8480, 8921
7678, 8902, 8461, 8460, 8901, 8923, 8482, 8481, 8922
7679, 8903, 8462, 8461, 8902, 8924, 8483, 8482, 8923
7680, 8904, 8463, 8462, 8903, 8925, 8484, 8483, 8924
7681, 8906, 8465, 8464, 8905, 8927, 8486, 8485, 8926
7682, 8907, 8466, 8465, 8906, 8928, 8487, 8486, 8927
7683, 8908, 8467, 8466, 8907, 8929, 8488, 8487, 8928
7684, 8909, 8468, 8467, 8908, 8930, 8489, 8488, 8929
7685, 8910, 8469, 8468, 8909, 8931, 8490, 8489, 8930
7686, 8911, 8470, 8469, 8910, 8932, 8491, 8490, 8931
7687, 8912, 8471, 8470, 8911, 8933, 8492, 8491, 8932
7688, 8913, 8472, 8471, 8912, 8934, 8493, 8492, 8933
7689, 8914, 8473, 8472, 8913, 8935, 8494, 8493, 8934
7690, 8915, 8474, 8473, 8914, 8936, 8495, 8494, 8935
7691, 8916, 8475, 8474, 8915, 8937, 8496, 8495, 8936
7692, 8917, 8476, 8475, 8916, 8938, 8497, 8496, 8937
7693, 8918, 8477, 8476, 8917, 8939, 8498, 8497, 8938
7694, 8919, 8478, 8477, 8918, 8940, 8499, 8498, 8939
7695, 8920, 8479, 8478, 8919, 8941, 8500, 8499, 8940
7696, 8921, 8480, 8479, 8920, 8942, 8501, 8500, 8941
7697, 8922, 8481, 8480, 8921, 8943, 8502, 8501, 8942
7698, 8923, 8482, 8481, 8922, 8944, 8503, 8502, 8943
7699, 8924, 8483, 8482, 8923, 8945, 8504, 8503, 8944
7700, 8925, 8484, 8483, 8924, 8946, 8505, 8504, 8945
7701, 8927, 8486, 8485, 8926, 8948, 8507, 8506, 8947
7702, 8928, 8487, 8486, 8927, 8949, 8508, 8507, 8948
7703, 8929, 8488, 8487, 8928, 8950, 8509, 8508, 8949
7704, 8930, 8489, 8488, 8929, 8951, 8510, 8509, 8950
7705, 8931, 8490, 8489, 8930, 8952, 8511, 8510, 8951
7706, 8932, 8491, 8490, 8931, 8953, 8512, 8511, 8952
7707, 8933, 8492, 8491, 8932, 8954, 8513, 8512, 8953
7708, 8934, 8493, 8492, 8933, 8955, 8514, 8513, 8954
7709, 8935, 8494, 8493, 8934, 8956, 8515, 8514, 8955
7710, 8936, 8495, 8494, 8935, 8957, 8516, 8515, 8956
7711, 8937, 8496, 8495, 8936, 8958, 8517, 8516, 8957
7712, 8938, 8497, 8496, 8937, 8959, 8518, 8517, 8958
7713, 8939, 8498, 8497, 8938, 8960, 8519, 8518, 8959
7714, 8940, 8499, 8498, 8939, 8961, 8520, 8519, 8960
7715, 8941, 8500, 8499, 8940, 8962, 8521, 8520, 8961
7716, 8942, 8501, 8500, 8941, 8963, 8522, 8521, 8962
7717, 8943, 8502, 8501, 8942, 8964, 8523, 8522, 8963
7718, 8944, 8503, 8502, 8943, 8965, 8524, 8523, 8964
7719, 8945, 8504, 8503, 8944, 8966, 8525, 8524, 8965
7720, 8946, 8505, 8504, 8945, 8967, 8526, 8525, 8966
7721, 8948, 8507, 8506, 8947, 8969, 8528, 8527, 8968
7722, 8949, 8508, 8507, 8948, 8970, 8529, 8528, 8969
7723, 8950, 8509, 8508, 8949, 8971, 8530, 8529, 8970
7724, 8951, 8510, 8509, 8950, 8972, 8531, 8530, 8971
7725, 8952, 8511, 8510, 8951, 8973, 8532, 8531, 8972
7726, 8953, 8512, 8511, 8952, 8974, 8533, 8532, 8973
7727, 8954, 8513, 8512, 8953, 8975, 8534, 8533, 8974
7728, 8955, 8514, 8513, 8954, 8976, 8535, 8534, 8975
7729, 8956, 8515, 8514, 8955, 8977, 8536, 8535, 8976
7730, 8957, 8516, 8515, 8956, 8978, 8537, 8536, 8977
7731, 8958, 8517, 8516, 8957, 8979, 8538, 8537, 8978
7732, 8959, 8518, 8517, 8958, 8980, 8539, 8538, 8979
7733, 8960, 8519, 8518, 8959, 8981, 8540, 8539, 8980
7734, 8961, 8520, 8519, 8960, 8982, 8541, 8540, 8981
7735, 8962, 8521, 8520, 8961, 8983, 8542, 8541, 8982
7736, 8963, 8522, 8521, 8962, 8984, 8543, 8542, 8983
7737, 8964, 8523, 8522, 8963, 8985, 8544, 8543, 8984
7738, 8965, 8524, 8523, 8964, 8986, 8545, 8544, 8985
7739, 8966, 8525, 8524, 8965, 8987, 8546, 8545, 8986
7740, 8967, 8526, 8525, 8966, 8988, 8547, 8546, 8987
7741, 8969, 8528, 8527, 8968, 8990, 8549, 8548, 8989
7742, 8970, 8529, 8528, 8969, 8991, 8550, 8549, 8990
7743, 8971, 8530, 8529, 8970, 8992, 8551, 8550, 8991
7744, 8972, 8531, 8530, 8971, 8993, 8552, 8551, 8992
7745, 8973, 8532, 8531, 8972, 8994, 8553, 8552, 8993
7746, 8974, 8533, 8532, 8973, 8995, 8554, 8553, 8994
7747, 8975, 8534, 8533, 8974, 8996, 8555, 8554, 8995
7748, 8976, 8535, 8534, 8975, 8997, 8556, 8555, 8996
7749, 8977, 8536, 8535, 8976, 8998, 8557, 8556, 8997
7750, 8978, 8537, 8536, 8977, 8999, 8558, 8557, 8998
7751, 8979, 8538, 8537, 8978, 9000, 8559, 8558, 8999
7752, 8980, 8539, 8538, 8979, 9001, 8560, 8559, 9000
7753, 8981, 8540, 8539, 8980, 9002, 8561, 8560, 9001
7754, 8982, 8541, 8540, 8981, 9003, 8562, 8561, 9002
7755, 8983, 8542, 8541, 8982, 9004, 8563, 8562, 9003
7756, 8984, 8543, 8542, 8983, 9005, 8564, 8563, 9004
7757, 8985, 8544, 8543, 8984, 9006, 8565, 8564, 9005
7758, 8986, 8545, 8544, 8985, 9007, 8566, 8565, 9006
7759, 8987, 8546, 8545, 8986, 9008, 8567, 8566, 9007
7760, 8988, 8547, 8546, 8987, 9009, 8568, 8567, 9008
7761, 8990, 8549, 8548, 8989, 9011, 8570, 8569, 9010
7762, 8991, 8550, 8549, 8990, 9012, 8571, 8570, 9011
7763, 8992, 8551, 8550, 8991, 9013, 8572, 8571, 9012
7764, 8993, 8552, 8551, 8992, 9014, 8573, 8572, 9013
7765, 8994, 8553, 8552, 8993, 9015, 8574, 8573, 9014
7766, 8995, 8554, 8553, 8994, 9016, 8575, 8574, 9015
7767, 8996, 8555, 8554, 8995, 9017, 8576, 8575, 9016
7768, 8997, 8556, 8555, 8996, 9018, 8577, 8576, 9017
7769, 8998, 8557, 8556, 8997, 9019, 8578, 8577, 9018
7770, 8999, 8558, 8557, 8998, 9020, 8579, 8578, 9019
7771, 9000, 8559, 8558, 8999, 9021, 8580, 8579, 9020
7772, 9001, 8560, 8559, 9000, 9022, 8581, 8580, 9021
7773, 9002, 8561, 8560, 9001, 9023, 8582, 8581, 9022
7774, 9003, 8562, 8561, 9002, 9024, 8583, 8582, 9023
7775, 9004, 8563, 8562, 9003, 9025, 8584, 8583, 9024
7776, 9005, 8564, 8563, 9004, 9026, 8585, 8584, 9025
7777, 9006, 8565, 8564, 9005, 9027, 8586, 8585, 9026
7778, 9007, 8566, 8565, 9006, 9028, 8587, 8586, 9027
7779, 9008, 8567, 8566, 9007, 9029, 8588, 8587, 9028
7780, 9009, 8568, 8567, 9008, 9030, 8589, 8588, 9029
7781, 9011, 8570, 8569, 9010, 9032, 8591, 8590, 9031
7782, 9012, 8571, 8570, 9011, 9033, 8592, 8591, 9032
7783, 9013, 8572, 8571, 9012, 9034, 8593, 8592, 9033
7784, 9014, 8573, 8572, 9013, 9035, 8594, 8593, 9034
7785, 9015, 8574, 8573, 9014, 9036, 8595, 8594, 9035
7786, 9016, 8575, 8574, 9015, 9037, 8596, 8595, 9036
7787, 9017, 8576, 8575, 9016, 9038, 8597, 8596, 9037
7788, 9018, 8577, 8576, 9017, 9039, 8598, 8597, 9038
7789, 9019, 8578, 8577, 9018, 9040, 8599, 8598, 9039
7790, 9020, 8579, 8578, 9019, 9041, 8600, 8599, 9040
7791, 9021, 8580, 8579, 9020, 9042, 8601, 8600, 9041
7792, 9022, 8581, 8580, 9021, 9043, 8602, 8601, 9042
7793, 9023, 8582, 8581, 9022, 9044, 8603, 8602, 9043
7794, 9024, 8583, 8582, 9023, 9045, 8604, 8603, 9044
7795, 9025, 8584, 8583, 9024, 9046, 8605, 8604, 9045
7796, 9026, 8585, 8584, 9025, 9047, 8606, 8605, 9046
7797, 9027, 8586, 8585, 9026, 9048, 8607, 8606, 9047
7798, 9028, 8587, 8586, 9027, 9049, 8608, 8607, 9048
7799, 9029, 8588, 8587, 9028, 9050, 8609, 8608, 9049
7800, 9030, 8589, 8588, 9029, 9051, 8610, 8609, 9050
7801, 9032, 8591, 8590, 9031, 9053, 8612, 8611, 9052
7802, 9033, 8592, 8591, 9032, 9054, 8613, 8612, 9053
7803, 9034, 8593, 8592, 9033, 9055, 8614, 8613, 9054
7804, 9035, 8594, 8593, 9034, 9056, 8615, 8614, 9055
7805, 9036, 8595, 8594, 9035, 9057, 8616, 8615, 9056
7806, 9037, 8596, 8595, 9036, 9058, 8617, 8616, 9057
7807, 9038, 8597, 8596, 9037, 9059, 8618, 8617, 9058
7808, 9039, 8598, 8597, 9038, 9060, 8619, 8618, 9059
7809, 9040, 8599, 8598, 9039, 9061, 8620, 8619, 9060
7810, 9041, 8600, 8599, 9040, 9062, 8621, 8620, 9061
7811, 9042, 8601, 8600, 9041, 9063, 8622, 8621, 9062
7812, 9043, 8602, 8601, 9042, 9064, 8623, 8622, 9063
7813, 9044, 8603, 8602, 9043, 9065, 8624, 8623, 9064
7814, 9045, 8604, 8603, 9044, 9066, 8625, 8624, 9065
7815, 9046, 8605, 8604, 9045, 9067, 8626, 8625, 9066
7816, 9047, 8606, 8605, 9046, 9068, 8627, 8626, 9067
7817, 9048, 8607, 8606, 9047, 9069, 8628, 8627, 9068
7818, 9049, 8608, 8607, 9048, 9070, 8629, 8628, 9069
7819, 9050, 8609, 8608, 9049, 9071, 8630, 8629, 9070
7820, 9051, 8610, 8609, 9050, 9072, 8631, 8630, 9071
7821, 9053, 8612, 8611, 9052, 9074, 8633, 8632, 9073
7822, 9054, 8613, 8612, 9053, 9075, 8634, 8633, 9074
7823, 9055, 8614, 8613, 9054, 9076, 8635, 8634, 9075
7824, 9056, 8615, 8614, 9055, 9077, 8636, 8635, 9076
7825, 9057, 8616, 8615, 9056, 9078, 8637, 8636, 9077
7826, 9058, 8617, 8616, 9057, 9079, 8638, 8637, 9078
7827, 9059, 8618, 8617, 9058, 9080, 8639, 8638, 9079
7828, 9060, 8619, 8618, 9059, 9081, 8640, 8639, 9080
7829, 9061, 8620, 8619, 9060, 9082, 8641, 8640, 9081
7830, 9062, 8621, 8620, 9061, 9083, 8642, 8641, 9082
7831, 9063, 8622, 8621, 9062, 9084, 8643, 8642, 9083
7832, 9064, 8623, 8622, 9063, 9085, 8644, 8643, 9084
7833, 9065, 8624, 8623, 9064, 9086, 8645, 8644, 9085
7834, 9066, 8625, 8624, 9065, 9087, 8646, 8645, 9086
7835, 9067, 8626, 8625, 9066, 9088, 8647, 8646, 9087
7836, 9068, 8627, 8626, 9067, 9089, 8648, 8647, 9088
7837, 9069, 8628, 8627, 9068, 9090, 8649, 8648, 9089
7838, 9070, 8629, 8628, 9069, 9091, 8650, 8649, 9090
7839, 9071, 8630, 8629, 9070, 9092, 8651, 8650, 9091
7840, 9072, 8631, 8630, 9071, 9093, 8652, 8651, 9092
7841, 9074, 8633, 8632, 9073, 9095, 8654, 8653, 9094
7842, 9075, 8634, 8633, 9074, 9096, 8655, 8654, 9095
7843, 9076, 8635, 8634, 9075, 9097, 8656, 8655, 9096
7844, 9077, 8636, 8635, 9076, 9098, 8657, 8656, 9097
7845, 9078, 8637, 8636, 9077, 9099, 8658, 8657, 9098
7846, 9079, 8638, 8637, 9078, 9100, 8659, 8658, 9099
7847, 9080, 8639, 8638, 9079, 9101, 8660, 8659, 9100
7848, 9081, 8640, 8639, 9080, 9102, 8661, 8660, 9101
7849, 9082, 8641, 8640, 9081, 9103, 8662, 8661, 9102
7850, 9083, 8642, 8641, 9082, 9104, 8663, 8662, 9103
7851, 9084, 8643, 8642, 9083, 9105, 8664, 8663, 9104
7852, 9085, 8644, 8643, 9084, 9106, 8665, 8664, 9105
7853, 9086, 8645, 8644, 9085, 9107, 8666, 8665, 9106
7854, 9087, 8646, 8645, 9086, 9108, 8667, 8666, 9107
7855, 9088, 8647, 8646, 9087, 9109, 8668, 8667, 9108
7856, 9089, 8648, 8647, 9088, 9110, 8669, 8668, 9109
7857, 9090, 8649, 8648, 9089, 9111, 8670, 8669, 9110
7858, 9091, 8650, 8649, 9090, 9112, 8671, 8670, 9111
7859, 9092, 8651, 8650, 9091, 9113, 8672, 8671, 9112
7860, 9093, 8652, 8651, 9092, 9114, 8673, 8672, 9113
7861, 9095, 8654, 8653, 9094, 9116, 8675, 8674, 9115
7862, 9096, 8655, 8654, 9095, 9117, 8676, 8675, 9116
7863, 9097, 8656, 8655, 9096, 9118, 8677, 8676, 9117
7864, 9098, 8657, 8656, 9097, 9119, 8678, 8677, 9118
7865, 9099, 8658, 8657, 9098, 9120, 8679, 8678, 9119
7866, 9100, 8659, 8658, 9099, 9121, 8680, 8679, 9120
7867, 9101, 8660, 8659, 9100, 9122, 8681, 8680, 9121
7868, 9102, 8661, 8660, 9101, 9123, 8682, 8681, 9122
7869, 9103, 8662, 8661, 9102, 9124, 8683, 8682, 9123
7870, 9104, 8663, 8662, 9103, 9125, 8684, 8683, 9124
7871, 9105, 8664, 8663, 9104, 9126, 8685, 8684, 9125
7872, 9106, 8665, 8664, 9105, 9127, 8686, 8685, 9126
7873, 9107, 8666, 8665, 9106, 9128, 8687, 8686, 9127
7874, 9108, 8667, 8666, 9107, 9129, 8688, 8687, 9128
7875, 9109, 8668, 8667, 9108, 9130, 8689, 8688, 9129
7876, 9110, 8669, 8668, 9109, 9131, 8690, 8689, 9130
7877, 9111, 8670, 8669, 9110, 9132, 8691, 8690, 9131
7878, 9112, 8671, 8670, 9111, 9133, 8692, 8691, 9132
7879, 9113, 8672, 8671, 9112, 9134, 8693, 8692, 9133
7880, 9114, 8673, 8672, 9113, 9135, 8694, 8693, 9134
7881, 9116, 8675, 8674, 9115, 9137, 8696, 8695, 9136
7882, 9117, 8676, 8675, 9116, 9138, 8697, 8696, 9137
7883, 9118, 8677, 8676, 9117, 9139, 8698, 8697, 9138
7884, 9119, 8678, 8677, 9118, 9140, 8699, 8698, 9139
7885, 9120, 8679, 8678, 9119, 9141, 8700, 8699, 9140
7886, 9121, 8680, 8679, 9120, 9142, 8701, 8700, 9141
7887, 9122, 8681, 8680, 9121, 9143, 8702, 8701, 9142
7888, 9123, 8682, 8681, 9122, 9144, 8703, 8702, 9143
7889, 9124, 8683, 8682, 9123, 9145, 8704, 8703, 9144
7890, 9125, 8684, 8683, 9124, 9146, 8705, 8704, 9145
7891, 9126, 8685, 8684, 9125, 9147, 8706, 8705, 9146
7892, 9127, 8686, 8685, 9126, 9148, 8707, 8706, 9147
7893, 9128, 8687, 8686, 9127, 9149, 8708, 8707, 9148
7894, 9129, 8688, 8687, 9128, 9150, 8709, 8708, 9149
7895, 9130, 8689, 8688, 9129, 9151, 8710, 8709, 9150
7896, 9131, 8690, 8689, 9130, 9152, 8711, 8710, 9151
7897, 9132, 8691, 8690, 9131, 9153, 8712, 8711, 9152
7898, 9133, 8692, 8691, 9132, 9154, 8713, 8712, 9153
7899, 9134, 8693, 8692, 9133, 9155, 8714, 8713, 9154
7900, 9135, 8694, 8693, 9134, 9156, 8715, 8714, 9155
7901, 9137, 8696, 8695, 9136, 9158, 8717, 8716, 9157
7902, 9138, 8697, 8696, 9137, 9159, 8718, 8717, 9158
7903, 9139, 8698, 8697, 9138, 9160, 8719, 8718, 9159
7904, 9140, 8699, 8698, 9139, 9161, 8720, 8719, 9160
7905, 9141, 8700, 8699, 9140, 9162, 8721, 8720, 9161
7906, 9142, 8701, 8700, 9141, 9163, 8722, 8721, 9162
7907, 9143, 8702, 8701, 9142, 9164, 8723, 8722, 9163
7908, 9144, 8703, 8702, 9143, 9165, 8724, 8723, 9164
7909, 9145, 8704, 8703, 9144, 9166, 8725, 8724, 9165
7910, 9146, 8705, 8704, 9145, 9167, 8726, 8725, 9166
7911, 9147, 8706, 8705, 9146, 9168, 8727, 8726, 9167
7912, 9148, 8707, 8706, 9147, 9169, 8728, 8727, 9168
7913, 9149, 8708, 8707, 9148, 9170, 8729, 8728, 9169
7914, 9150, 8709, 8708, 9149, 9171, 8730, 8729, 9170
7915, 9151, 8710, 8709, 9150, 9172, 8731, 8730, 9171
7916, 9152, 8711, 8710, 9151, 9173, 8732, 8731, 9172
7917, 9153, 8712, 8711, 9152, 9174, 8733, 8732, 9173
7918, 9154, 8713, 8712, 9153, 9175, 8734, 8733, 9174
7919, 9155, 8714, 8713, 9154, 9176, 8735, 8734, 9175
7920, 9156, 8715, 8714, 9155, 9177, 8736, 8735, 9176
7921, 9158, 8717, 8716, 9157, 9179, 8738, 8737, 9178
7922, 9159, 8718, 8717, 9158, 9180, 8739, 8738, 9179
7923, 9160, 8719, 8718, 9159, 9181, 8740, 8739, 9180
7924, 9161, 8720, 8719, 9160, 9182, 8741, 8740, 9181
7925, 9162, 8721, 8720, 9161, 9183, 8742, 8741, 9182
7926, 9163, 8722, 8721, 9162, 9184, 8743, 8742, 9183
7927, 9164, 8723, 8722, 9163, 9185, 8744, 8743, 9184
7928, 9165, 8724, 8723, 9164, 9186, 8745, 8744, 9185
7929, 9166, 8725, 8724, 9165, 9187, 8746, 8745, 9186
7930, 9167, 8726, 8725, 9166, 9188, 8747, 8746, 9187
7931, 9168, 8727, 8726, 9167, 9189, 8748, 8747, 9188
7932, 9169, 8728, 8727, 9168, 9190, 8749, 8748, 9189
7933, 9170, 8729, 8728, 9169, 9191, 8750, 8749, 9190
7934, 9171, 8730, 8729, 9170, 9192, 8751, 8750, 9191
7935, 9172, 8731, 8730, 9171, 9193, 8752, 8751, 9192
7936, 9173, 8732, 8731, 9172, 9194, 8753, 8752, 9193
7937, 9174, 8733, 8732, 9173, 9195, 8754, 8753, 9194
7938, 9175, 8734, 8733, 9174, 9196, 8755, 8754, 9195
7939, 9176, 8735, 8734, 9175, 9197, 8756, 8755, 9196
7940, 9177, 8736, 8735, 9176, 9198, 8757, 8756, 9197
7941, 9179, 8738, 8737, 9178, 9200, 8759, 8758, 9199
7942, 9180, 8739, 8738, 9179, 9201, 8760, 8759, 9200
7943, 9181, 8740, 8739, 9180, 9202, 8761, 8760, 9201
7944, 9182, 8741, 8740, 9181, 9203, 8762, 8761, 9202
7945, 9183, 8742, 8741, 9182, 9204, 8763, 8762, 9203
7946, 9184, 8743, 8742, 9183, 9205, 8764, 8763, 9204
7947, 9185, 8744, 8743, 9184, 9206, 8765, 8764, 9205
7948, 9186, 8745, 8744, 9185, 9207, 8766, 8765, 9206
7949, 9187, 8746, 8745, 9186, 9208, 8767, 8766, 9207
7950, 9188, 8747, 8746, 9187, 9209, 8768, 8767, 9208
7951, 9189, 8748, 8747, 9188, 9210, 8769, 8768, 9209
7952, 9190, 8749, 8748, 9189, 9211, 8770, 8769, 9210
7953, 9191, 8750, 8749, 9190, 9212, 8771, 8770, 9211
7954, 9192, 8751, 8750, 9191, 9213, 8772, 8771, 9212
7955, 9193, 8752, 8751, 9192, 9214, 8773, 8772, 9213
7956, 9194, 8753, 8752, 9193, 9215, 8774, 8773, 9214
7957, 9195, 8754, 8753, 9194, 9216, 8775, 8774, 9215
7958, 9196, 8755, 8754, 9195, 9217, 8776, 8775, 9216
7959, 9197, 8756, 8755, 9196, 9218, 8777, 8776, 9217
7960, 9198, 8757, 8756, 9197, 9219, 8778, 8777, 9218
7961, 9200, 8759, 8758, 9199, 9221, 8780, 8779, 9220
7962, 9201, 8760, 8759, 9200, 9222, 8781, 8780, 9221
7963, 9202, 8761, 8760, 9201, 9223, 8782, 8781, 9222
7964, 9203, 8762, 8761, 9202, 9224, 8783, 8782, 9223
7965, 9204, 8763, 8762, 9203, 9225, 8784, 8783, 9224
7966, 9205, 8764, 8763, 9204, 9226, 8785, 8784, 9225
7967, 9206, 8765, 8764, 9205, 9227, 8786, 8785, 9226
7968, 9207, 8766, 8765, 9206, 9228, 8787, 8786, 9227
7969, 9208, 8767, 8766, 9207, 9229, 8788, 8787, 9228
7970, 9209, 8768, 8767, 9208, 9230, 8789, 8788, 9229
7971, 9210, 8769, 8768, 9209, 9231, 8790, 8789, 9230
7972, 9211, 8770, 8769, 9210, 9232, 8791, 8790, 9231
7973, 9212, 8771, 8770, 9211, 9233, 8792, 8791, 9232
7974, 9213, 8772, 8771, 9212, 9234, 8793, 8792, 9233
7975, 9214, 8773, 8772, 9213, 9235, 8794, 8793, 9234
7976, 9215, 8774, 8773, 9214, 9236, 8795, 8794, 9235
7977, 9216, 8775, 8774, 9215, 9237, 8796, 8795, 9236
7978, 9217, 8776, 8775, 9216, 9238, 8797, 8796, 9237
7979, 9218, 8777, 8776, 9217, 9239, 8798, 8797, 9238
7980, 9219, 8778, 8777, 9218, 9240, 8799, 8798, 9239
7981, 9221, 8780, 8779, 9220, 9242, 8801, 8800, 9241
7982, 9222, 8781, 8780, 9221, 9243, 8802, 8801, 9242
7983, 9223, 8782, 8781, 9222, 9244, 8803, 8802, 9243
7984, 9224, 8783, 8782, 9223, 9245, 8804, 8803, 9244
7985, 9225, 8784, 8783, 9224, 9246, 8805, 8804, 9245
7986, 9226, 8785, 8784, 9225, 9247, 8806, 8805, 9246
7987, 9227, 8786, 8785, 9226, 9248, 8807, 8806, 9247
7988, 9228, 8787, 8786, 9227, 9249, 8808, 8807, 9248
7989, 9229, 8788, 8787, 9228, 9250, 8809, 8808, 9249
7990, 9230, 8789, 8788, 9229, 9251, 8810, 8809, 9250
7991, 9231, 8790, 8789, 9230, 9252, 8811, 8810, 9251
7992, 9232, 8791, 8790, 9231, 9253, 8812, 8811, 9252
7993, 9233, 8792, 8791, 9232, 9254, 8813, 8812, 9253
7994, 9234, 8793, 8792, 9233, 9255, 8814, 8813, 9254
7995, 9235, 8794, 8793, 9234, 9256, 8815, 8814, 9255
7996, 9236, 8795, 8794, 9235, 9257, 8816, 8815, 9256
7997, 9237, 8796, 8795, 9236, 9258, 8817, 8816, 9257
7998, 9238, 8797, 8796, 9237, 9259, 8818, 8817, 9258
7999, 9239, 8798, 8797, 9238, 9260, 8819, 8818, 9259
8000, 9240, 8799, 8798, 9239, 9261, 8820, 8819, 9260
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_elset.inp
================================================
** Generated by : ImportExport Version 6.5.163.1998a502a
** ----------------------------------------------------------------
**
** The element sets
*Elset, elset=cube, generate
1, 8000, 1
**
** Each Grain is made up of multiple elements
**
*Elset, elset=Grain1_set
6, 7, 8, 25, 26, 27, 28, 29, 45, 46, 47, 48, 49, 65, 66, 67,
68, 69, 70, 85, 86, 87, 88, 89, 90, 105, 106, 107, 108, 109, 110, 406,
407, 408, 426, 427, 428, 429, 445, 446, 447, 448, 449, 465, 466, 467, 468, 469,
470, 485, 486, 487, 488, 489, 490, 505, 506, 507, 508, 509, 526, 806, 807, 808,
825, 826, 827, 828, 829, 845, 846, 847, 848, 849, 865, 866, 867, 868, 869, 870,
885, 886, 887, 888, 889, 905, 906, 907, 908, 926, 1206, 1207, 1208, 1225, 1226, 1227,
1228, 1229, 1245, 1246, 1247, 1248, 1249, 1265, 1266, 1267, 1268, 1269, 1284, 1285, 1286, 1287,
1288, 1305, 1306, 1307, 1308, 1326, 1606, 1607, 1608, 1625, 1626, 1627, 1628, 1629, 1645, 1646,
1647, 1648, 1649, 1665, 1666, 1667, 1668, 1684, 1685, 1686, 1687, 1688, 1705, 1706, 1707, 1708,
1726, 2065, 2066, 2067, 2085, 2086, 2087, 2088, 2106, 2107, 2108
*Elset, elset=Grain2_set
172, 173, 192, 193, 572, 573, 574, 575, 576, 592, 593, 594, 595, 596, 612, 613,
614, 952, 953, 954, 972, 973, 974, 975, 976, 992, 993, 994, 995, 996, 1012, 1013,
1014, 1015, 1016, 1353, 1354, 1355, 1372, 1373, 1374, 1375, 1376, 1391, 1392, 1393, 1394, 1395,
1396, 1411, 1412, 1413, 1414, 1415, 1416, 1432, 1433, 1434, 1435, 1752, 1753, 1754, 1755, 1756,
1771, 1772, 1773, 1774, 1775, 1776, 1777, 1791, 1792, 1793, 1794, 1795, 1796, 1811, 1812, 1813,
1814, 1815, 1816, 1832, 1833, 1834, 1835, 1836, 2153, 2154, 2155, 2173, 2174, 2175, 2176, 2177,
2193, 2194, 2195, 2196, 2213, 2214, 2215, 2216, 2233, 2234, 2235
*Elset, elset=Grain3_set
2061, 2062, 2063, 2064, 2081, 2082, 2083, 2084, 2101, 2102, 2103, 2104, 2105, 2121, 2122, 2123,
2124, 2125, 2126, 2141, 2142, 2143, 2144, 2145, 2146, 2161, 2162, 2163, 2164, 2165, 2166, 2181,
2182, 2183, 2184, 2185, 2186, 2201, 2202, 2203, 2204, 2205, 2441, 2442, 2443, 2461, 2462, 2463,
2464, 2481, 2482, 2483, 2484, 2485, 2501, 2502, 2503, 2504, 2505, 2506, 2521, 2522, 2523, 2524,
2525, 2526, 2527, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2561, 2562, 2563, 2564, 2565,
2566, 2567, 2581, 2582, 2583, 2584, 2585, 2586, 2601, 2602, 2603, 2604, 2605, 2621, 2622, 2623,
2624, 2801, 2802, 2821, 2822, 2841, 2842, 2843, 2861, 2862, 2863, 2864, 2881, 2882, 2883, 2884,
2885, 2901, 2902, 2903, 2904, 2905, 2906, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2941, 2942,
2943, 2944, 2945, 2946, 2947, 2948, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2981, 2982, 2983,
2984, 2985, 2986, 3001, 3002, 3003, 3004, 3005, 3021, 3022, 3023, 3024, 3041, 3043, 3044, 3221,
3222, 3241, 3242, 3243, 3261, 3262, 3263, 3264, 3281, 3282, 3283, 3284, 3285, 3301, 3302, 3303,
3304, 3305, 3306, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3341, 3342, 3343, 3344, 3345, 3346,
3347, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3381, 3382, 3383, 3384, 3385, 3386, 3401, 3402,
3403, 3404, 3405, 3421, 3422, 3423, 3424, 3425, 3441, 3443, 3444, 3641, 3642, 3643, 3661, 3662,
3663, 3664, 3681, 3682, 3683, 3684, 3685, 3701, 3702, 3703, 3704, 3705, 3706, 3721, 3722, 3723,
3724, 3725, 3726, 3727, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3761, 3762, 3763, 3764, 3765,
3766, 3767, 3781, 3782, 3783, 3784, 3785, 3786, 3801, 3802, 3803, 3804, 3805, 3821, 3822, 3823,
3824, 3825, 4061, 4062, 4063, 4081, 4082, 4083, 4084, 4085, 4101, 4102, 4103, 4104, 4105, 4106,
4121, 4122, 4123, 4124, 4125, 4126, 4127, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4161, 4162,
4163, 4164, 4165, 4166, 4167, 4181, 4182, 4183, 4184, 4185, 4186, 4201, 4202, 4203, 4204, 4205,
4221, 4222, 4223, 4224, 4225, 4481, 4482, 4483, 4501, 4502, 4503, 4504, 4505, 4506, 4521, 4522,
4523, 4524, 4525, 4526, 4527, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4561, 4562, 4563,
4564, 4565, 4566, 4567, 4581, 4582, 4583, 4584, 4585, 4586, 4601, 4602, 4603, 4604, 4605, 4625,
4881, 4901, 4902, 4903, 4904, 4905, 4921, 4922, 4923, 4924, 4925, 4926, 4941, 4942, 4943, 4944,
4945, 4946, 4947, 4964, 4965, 4966, 5301, 5325, 5326
*Elset, elset=Grain4_set
2540, 2558, 2559, 2560, 2578, 2939, 2940, 2958, 2959, 2960, 2978, 2979, 2980, 2998, 2999, 3000,
3018, 3019, 3020, 3038, 3039, 3040, 3339, 3340, 3358, 3359, 3360, 3378, 3379, 3380, 3398, 3399,
3400, 3418, 3419, 3420, 3438, 3439, 3440, 3739, 3740, 3758, 3759, 3760, 3778, 3779, 3780, 3798,
3799, 3800, 3818, 3819, 3820, 3838, 3839, 3840, 4140, 4159, 4160, 4178, 4179, 4180, 4198, 4199,
4200, 4218, 4219, 4220, 4238, 4239, 4240, 4560, 4579, 4580, 4598, 4599, 4600, 4618, 4619, 4620,
4638, 4639, 4640, 4960, 4980, 4999, 5000, 5020, 5040, 5380
*Elset, elset=Grain5_set
3201, 3202, 3601, 3602, 3603, 3621, 3622, 3623, 4001, 4002, 4003, 4004, 4005, 4021, 4022, 4023,
4024, 4025, 4041, 4042, 4043, 4044, 4045, 4064, 4065, 4401, 4402, 4403, 4404, 4405, 4406, 4421,
4422, 4423, 4424, 4425, 4426, 4441, 4442, 4443, 4444, 4445, 4446, 4461, 4462, 4463, 4464, 4465,
4466, 4484, 4485, 4486, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4821, 4822, 4823, 4824, 4825,
4826, 4827, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4861, 4862, 4863, 4864, 4865, 4866, 4867,
4882, 4883, 4884, 4885, 4886, 4887, 4906, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5221,
5222, 5223, 5224, 5225, 5226, 5227, 5228, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5261,
5262, 5263, 5264, 5265, 5266, 5267, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5302, 5303, 5304,
5305, 5306, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5621, 5622, 5623, 5624, 5625,
5626, 5627, 5628, 5629, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5661, 5662, 5663, 5664,
5665, 5666, 5667, 5681, 5682, 5683, 5684, 5685, 5686, 5702, 5703, 5704, 5705, 5706, 6001, 6002,
6003, 6004, 6005, 6006, 6007, 6008, 6009, 6021, 6022, 6023, 6024, 6025, 6026, 6027, 6028, 6041,
6042, 6043, 6044, 6045, 6046, 6047, 6061, 6062, 6063, 6064, 6065, 6066, 6081, 6082, 6083, 6084,
6085, 6086, 6102, 6103, 6104, 6105, 6106, 6401, 6402, 6403, 6404, 6405, 6406, 6407, 6421, 6422,
6423, 6424, 6425, 6426, 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6461, 6462, 6463, 6464, 6465,
6466, 6483, 6484, 6485, 6486, 6801, 6802, 6803, 6821, 6822, 6841, 6842, 6843
*Elset, elset=Grain6_set
3299, 3300, 3320, 3620, 3639, 3640, 3658, 3659, 3660, 3679, 3680, 3699, 3700, 3720, 4017, 4018,
4019, 4020, 4037, 4038, 4039, 4040, 4058, 4059, 4060, 4078, 4079, 4080, 4099, 4100, 4120, 4416,
4417, 4418, 4419, 4420, 4436, 4437, 4438, 4439, 4440, 4457, 4458, 4459, 4460, 4478, 4479, 4480,
4499, 4500, 4519, 4520, 4540, 4816, 4817, 4818, 4819, 4820, 4836, 4837, 4838, 4839, 4840, 4857,
4858, 4859, 4860, 4878, 4879, 4880, 4898, 4899, 4900, 4919, 4920, 4940, 5216, 5217, 5218, 5219,
5220, 5236, 5237, 5238, 5239, 5240, 5257, 5258, 5259, 5260, 5277, 5278, 5279, 5280, 5298, 5299,
5300, 5319, 5320, 5340, 5360, 5617, 5618, 5619, 5620, 5636, 5637, 5638, 5639, 5640, 5657, 5658,
5659, 5660, 5677, 5678, 5679, 5680, 5698, 5699, 5700, 5719, 5720, 5740, 6019, 6020, 6038, 6039,
6040, 6057, 6058, 6059, 6060, 6077, 6078, 6079, 6080, 6460
*Elset, elset=Grain7_set
38, 57, 58, 59, 60, 75, 76, 77, 78, 79, 80, 94, 95, 96, 97, 98,
99, 100, 113, 114, 115, 116, 117, 118, 119, 120, 132, 133, 134, 135, 136, 137,
138, 139, 140, 152, 153, 154, 155, 156, 157, 158, 159, 160, 174, 175, 176, 177,
178, 179, 457, 458, 475, 476, 477, 478, 479, 480, 494, 495, 496, 497, 498, 499,
500, 513, 514, 515, 516, 517, 518, 519, 520, 533, 534, 535, 536, 537, 538, 539,
540, 553, 554, 555, 556, 557, 558, 559, 560, 577, 578, 875, 876, 877, 878, 879,
894, 895, 896, 897, 898, 899, 900, 913, 914, 915, 916, 917, 918, 919, 920, 933,
934, 935, 936, 937, 938, 939, 940, 955, 956, 957, 958, 959, 977, 978, 1275, 1294,
1295, 1296, 1297, 1298, 1299, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1334, 1335, 1336, 1337,
1338, 1339, 1340, 1356, 1357, 1358, 1377, 1694, 1714, 1715, 1716, 1717, 1718, 1734, 1735, 1736,
1737, 1738, 1739, 1757, 1758, 2137, 2138
*Elset, elset=Grain8_set
3058, 3059, 3060, 3079, 3080, 3100, 3458, 3459, 3460, 3478, 3479, 3480, 3499, 3500, 3520, 3858,
3859, 3860, 3878, 3879, 3880, 3898, 3899, 3900, 3919, 3920, 4258, 4259, 4260, 4277, 4278, 4279,
4280, 4298, 4299, 4300, 4319, 4320, 4340, 4658, 4659, 4660, 4679, 4680, 4699, 4700, 4719, 4720,
4740, 5059, 5060, 5079, 5080, 5100
*Elset, elset=Grain9_set
6000, 6379, 6380, 6398, 6399, 6400, 6776, 6777, 6778, 6779, 6780, 6794, 6795, 6796, 6797, 6798,
6799, 6800, 7157, 7158, 7159, 7174, 7175, 7176, 7177, 7178, 7179, 7180, 7194, 7195, 7196, 7197,
7198, 7199, 7200, 7554, 7555, 7556, 7557, 7558, 7559, 7560, 7574, 7575, 7576, 7577, 7578, 7579,
7580, 7593, 7594, 7595, 7596, 7597, 7598, 7599, 7600, 7954, 7955, 7956, 7957, 7958, 7959, 7960,
7973, 7974, 7975, 7976, 7977, 7978, 7979, 7980, 7993, 7994, 7995, 7996, 7997, 7998, 7999, 8000
*Elset, elset=Grain10_set
6886, 6906, 6907, 6925, 6926, 6927, 6945, 6946, 6947, 6948, 6965, 6966, 6967, 6968, 6985, 6986,
6987, 7286, 7306, 7307, 7308, 7325, 7326, 7327, 7328, 7329, 7345, 7346, 7347, 7348, 7349, 7365,
7366, 7367, 7368, 7369, 7370, 7384, 7385, 7386, 7387, 7388, 7389, 7390, 7405, 7406, 7407, 7408,
7686, 7687, 7688, 7706, 7707, 7708, 7709, 7725, 7726, 7727, 7728, 7729, 7745, 7746, 7747, 7748,
7749, 7750, 7765, 7766, 7767, 7768, 7769, 7770, 7771, 7784, 7785, 7786, 7787, 7788, 7789, 7790,
7791, 7792, 7805, 7806, 7807, 7808, 7809, 7810, 7811, 7827, 7828
*Elset, elset=Grain11_set
491, 510, 511, 512, 531, 532, 551, 552, 890, 891, 892, 909, 910, 911, 912, 930,
931, 932, 951, 1270, 1271, 1272, 1289, 1290, 1291, 1292, 1293, 1309, 1310, 1311, 1312, 1313,
1329, 1330, 1331, 1332, 1333, 1351, 1352, 1371, 1669, 1670, 1671, 1672, 1689, 1690, 1691, 1692,
1693, 1709, 1710, 1711, 1712, 1713, 1729, 1730, 1731, 1732, 1733, 1751, 2070, 2071, 2072, 2089,
2090, 2091, 2092, 2093, 2109, 2110, 2111, 2112, 2113, 2129, 2130, 2131, 2132, 2510, 2511, 2512,
2529
*Elset, elset=Grain12_set
6408, 6427, 6428, 6804, 6805, 6806, 6807, 6808, 6809, 6823, 6824, 6825, 6826, 6827, 6828, 6829,
6844, 6845, 6846, 6847, 6848, 6865, 6866, 6867, 7201, 7202, 7203, 7204, 7205, 7206, 7207, 7208,
7209, 7210, 7221, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 7229, 7243, 7244, 7245, 7246, 7247,
7248, 7249, 7265, 7266, 7267, 7268, 7269, 7287, 7288, 7601, 7602, 7603, 7604, 7605, 7606, 7607,
7608, 7609, 7610, 7621, 7622, 7623, 7624, 7625, 7626, 7627, 7628, 7629, 7630, 7642, 7643, 7644,
7645, 7646, 7647, 7648, 7649, 7665, 7666, 7667, 7668, 7669
*Elset, elset=Grain13_set
300, 317, 318, 319, 320, 336, 337, 338, 339, 340, 355, 356, 357, 358, 359, 360,
374, 375, 376, 377, 378, 379, 380, 395, 396, 397, 398, 399, 717, 718, 719, 720,
736, 737, 738, 739, 740, 755, 756, 757, 758, 759, 774, 775, 776, 777, 778, 779,
795, 796, 797, 798, 1117, 1118, 1119, 1120, 1136, 1137, 1138, 1139, 1155, 1156, 1157, 1158,
1159, 1174, 1175, 1176, 1177, 1178, 1195, 1196, 1197, 1198, 1517, 1518, 1519, 1536, 1537, 1538,
1555, 1556, 1557, 1558, 1575, 1576, 1577, 1595, 1596, 1597
*Elset, elset=Grain14_set
2005, 2006, 2007, 2008, 2009, 2010, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2045, 2046, 2047,
2048, 2049, 2050, 2051, 2068, 2069, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413,
2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2444, 2445, 2446, 2447, 2448, 2449,
2450, 2451, 2452, 2453, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2486, 2487, 2488,
2489, 2490, 2491, 2492, 2493, 2507, 2508, 2509, 2528, 2803, 2804, 2805, 2806, 2807, 2808, 2809,
2810, 2811, 2812, 2813, 2814, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833,
2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2865, 2866, 2867, 2868, 2869,
2870, 2871, 2872, 2873, 2874, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2907, 2908,
2909, 2910, 2911, 2928, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214,
3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3244, 3245, 3246, 3247,
3248, 3249, 3250, 3251, 3252, 3253, 3254, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273,
3274, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3307, 3308, 3309, 3310, 3311, 3328, 3329,
3348, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3624, 3625, 3626,
3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3644, 3645, 3646, 3647, 3648, 3649, 3650,
3651, 3652, 3653, 3654, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3686, 3687, 3688,
3689, 3690, 3691, 3692, 3707, 3708, 3709, 3710, 3711, 3728, 3729, 3748, 4006, 4007, 4008, 4009,
4010, 4011, 4012, 4013, 4014, 4015, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4046,
4047, 4048, 4049, 4050, 4051, 4052, 4053, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4086,
4087, 4088, 4089, 4090, 4091, 4092, 4107, 4108, 4109, 4110, 4111, 4128, 4129, 4148, 4407, 4408,
4409, 4410, 4411, 4412, 4413, 4414, 4415, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4447,
4448, 4449, 4450, 4451, 4452, 4453, 4467, 4468, 4469, 4470, 4471, 4472, 4487, 4488, 4489, 4490,
4491, 4492, 4507, 4508, 4509, 4510, 4511, 4528, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4828,
4829, 4830, 4831, 4832, 4833, 4848, 4849, 4850, 4851, 4852, 4853, 4868, 4869, 4870, 4871, 4872,
4888, 5209, 5210, 5211, 5212, 5213, 5214, 5229, 5230, 5231, 5232, 5233, 5252, 5610, 5611
*Elset, elset=Grain15_set
1, 2, 3, 4, 5, 21, 22, 23, 24, 41, 42, 43, 44, 61, 62, 63,
64, 81, 82, 83, 84, 401, 402, 403, 404, 405, 421, 422, 423, 424, 425, 441,
442, 443, 444, 461, 462, 463, 464, 481, 482, 483, 484, 801, 802, 803, 804, 805,
821, 822, 823, 824, 841, 842, 843, 844, 861, 862, 863, 864, 881, 882, 883, 884,
1201, 1202, 1203, 1204, 1205, 1221, 1222, 1223, 1224, 1241, 1242, 1243, 1244, 1261, 1262, 1263,
1264, 1281, 1282, 1283, 1601, 1602, 1603, 1604, 1605, 1621, 1622, 1623, 1624, 1641, 1642, 1643,
1644, 1661, 1662, 1663, 1664, 1681, 1682, 1683, 2001, 2002, 2003, 2004, 2021, 2022, 2023, 2024,
2041, 2042, 2043, 2044, 2401, 2402, 2403, 2421, 2422, 2423
*Elset, elset=Grain16_set
4967, 4968, 4986, 4987, 4988, 5006, 5026, 5046, 5367, 5368, 5386, 5387, 5388, 5389, 5390, 5406,
5407, 5408, 5409, 5410, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5445, 5446, 5447, 5448, 5466,
5767, 5768, 5786, 5787, 5788, 5789, 5790, 5806, 5807, 5808, 5809, 5810, 5811, 5825, 5826, 5827,
5828, 5829, 5830, 5831, 5846, 5847, 5848, 5849, 5850, 5866, 5867, 5868, 5886, 6166, 6167, 6168,
6186, 6187, 6188, 6189, 6190, 6191, 6205, 6206, 6207, 6208, 6209, 6210, 6211, 6225, 6226, 6227,
6228, 6229, 6230, 6231, 6246, 6247, 6248, 6249, 6250, 6251, 6266, 6267, 6268, 6269, 6287, 6566,
6567, 6568, 6586, 6587, 6588, 6589, 6590, 6606, 6607, 6608, 6609, 6610, 6611, 6626, 6627, 6628,
6629, 6630, 6631, 6646, 6647, 6648, 6649, 6650, 6651, 6667, 6668, 6669, 6670, 6687, 6688, 6689,
6988, 6989, 6990, 7006, 7007, 7008, 7009, 7010, 7011, 7026, 7027, 7028, 7029, 7030, 7031, 7047,
7048, 7049, 7050, 7051, 7052, 7067, 7068, 7069, 7070, 7071, 7087, 7088, 7089, 7090, 7409, 7410,
7411, 7427, 7428, 7429, 7430, 7431, 7447, 7448, 7449, 7450, 7451, 7467, 7468, 7469, 7470, 7471,
7488, 7489, 7490, 7829, 7830, 7831, 7848, 7849, 7850, 7851, 7868, 7869, 7870
*Elset, elset=Grain17_set
126, 127, 128, 129, 130, 131, 146, 147, 148, 149, 150, 151, 166, 167, 168, 169,
170, 171, 186, 187, 188, 189, 190, 191, 206, 207, 208, 209, 210, 527, 528, 529,
530, 546, 547, 548, 549, 550, 566, 567, 568, 569, 570, 571, 586, 587, 588, 589,
590, 591, 927, 928, 929, 946, 947, 948, 949, 950, 966, 967, 968, 969, 970, 971,
986, 987, 988, 989, 990, 991, 1327, 1328, 1346, 1347, 1348, 1349, 1350, 1366, 1367, 1368,
1369, 1370, 1386, 1387, 1388, 1389, 1390, 1727, 1728, 1746, 1747, 1748, 1749, 1750, 1766, 1767,
1768, 1769, 1770, 1786, 1787, 1788, 1789, 1790, 2127, 2128, 2147, 2148, 2149, 2167, 2168, 2169,
2187
*Elset, elset=Grain18_set
5841, 5842, 5843, 5844, 5845, 5861, 5862, 5863, 5864, 5865, 5881, 5882, 5883, 5884, 5885, 5901,
5904, 5905, 6221, 6222, 6223, 6224, 6241, 6242, 6243, 6244, 6245, 6261, 6262, 6263, 6264, 6265,
6281, 6282, 6283, 6284, 6285, 6286, 6301, 6302, 6303, 6304, 6305, 6306, 6321, 6322, 6323, 6324,
6604, 6605, 6621, 6622, 6623, 6624, 6625, 6641, 6642, 6643, 6644, 6645, 6661, 6662, 6663, 6664,
6665, 6666, 6681, 6682, 6683, 6684, 6685, 6686, 6701, 6702, 6703, 6704, 6705, 6706, 6707, 6721,
6722, 6723, 6724, 6725, 6726, 6727, 6741, 6742, 6743, 7001, 7002, 7003, 7004, 7005, 7021, 7022,
7023, 7024, 7025, 7041, 7042, 7043, 7044, 7045, 7046, 7061, 7062, 7063, 7064, 7065, 7066, 7081,
7082, 7083, 7084, 7085, 7086, 7101, 7102, 7103, 7104, 7105, 7106, 7107, 7121, 7122, 7123, 7124,
7125, 7126, 7141, 7142, 7143, 7144, 7161, 7162, 7163, 7401, 7402, 7403, 7404, 7421, 7422, 7423,
7424, 7425, 7426, 7441, 7442, 7443, 7444, 7445, 7446, 7461, 7462, 7463, 7464, 7465, 7466, 7481,
7482, 7483, 7484, 7485, 7486, 7487, 7501, 7502, 7503, 7504, 7505, 7506, 7507, 7521, 7522, 7523,
7524, 7525, 7541, 7542, 7543, 7544, 7561, 7562, 7563, 7581, 7582, 7801, 7802, 7803, 7804, 7821,
7822, 7823, 7824, 7825, 7826, 7841, 7842, 7843, 7844, 7845, 7846, 7847, 7861, 7862, 7863, 7864,
7865, 7866, 7867, 7881, 7882, 7883, 7884, 7885, 7886, 7887, 7888, 7901, 7902, 7903, 7904, 7905,
7906, 7921, 7922, 7923, 7924, 7925, 7941, 7942, 7943, 7944, 7961, 7962, 7963, 7981, 7982
*Elset, elset=Grain19_set
4276, 4296, 4657, 4674, 4675, 4676, 4677, 4678, 4694, 4695, 4696, 4697, 4698, 4714, 4715, 4716,
4717, 4718, 4734, 4735, 4736, 4737, 4738, 4739, 4754, 4755, 4756, 4757, 4758, 4776, 5074, 5075,
5076, 5077, 5078, 5094, 5095, 5096, 5097, 5098, 5099, 5114, 5115, 5116, 5117, 5118, 5119, 5120,
5134, 5135, 5136, 5137, 5138, 5139, 5140, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5174, 5175,
5176, 5177, 5178, 5179, 5180, 5195, 5196, 5197, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5494,
5495, 5496, 5497, 5498, 5499, 5500, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5534, 5535, 5536,
5537, 5538, 5539, 5540, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5574, 5575, 5576, 5577, 5578,
5579, 5580, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5875, 5876, 5877, 5878, 5879, 5880, 5894,
5895, 5896, 5897, 5898, 5899, 5900, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5934, 5935, 5936,
5937, 5938, 5939, 5940, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5974, 5975, 5976, 5977, 5978,
5979, 5980, 5994, 5995, 5996, 5997, 5998, 5999, 6294, 6295, 6296, 6297, 6298, 6314, 6315, 6316,
6317, 6318, 6319, 6334, 6335, 6336, 6337, 6338, 6339, 6354, 6355, 6356, 6357, 6358, 6359, 6360,
6374, 6375, 6376, 6377, 6378, 6394, 6395, 6396, 6397, 6714, 6715, 6734, 6735, 6736, 6754, 6755,
6756, 6757, 6774, 6775
*Elset, elset=Grain20_set
4995, 4996, 4997, 4998, 5014, 5015, 5016, 5017, 5018, 5019, 5033, 5034, 5035, 5036, 5037, 5038,
5039, 5053, 5054, 5055, 5056, 5057, 5058, 5373, 5374, 5375, 5376, 5377, 5378, 5379, 5392, 5393,
5394, 5395, 5396, 5397, 5398, 5399, 5400, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419, 5420,
5432, 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5453, 5454, 5455, 5456, 5457, 5458, 5459,
5460, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799,
5800, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5832, 5833, 5834, 5835, 5836, 5837,
5838, 5839, 5840, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5874, 6155, 6173, 6174, 6175,
6176, 6177, 6178, 6192, 6193, 6194, 6195, 6196, 6197, 6198, 6199, 6212, 6213, 6214, 6215, 6216,
6217, 6218, 6219, 6232, 6233, 6234, 6235, 6236, 6237, 6238, 6252, 6253, 6254, 6255, 6256, 6257,
6274, 6275, 6276, 6573, 6574, 6575, 6592, 6593, 6594, 6595, 6596, 6597, 6598, 6612, 6613, 6614,
6615, 6616, 6617, 6632, 6633, 6634, 6635, 6636, 6652, 6653, 6654, 6674, 6974, 6993, 6994, 7012,
7013, 7032, 7033, 7374
*Elset, elset=Grain21_set
307, 308, 309, 310, 326, 327, 328, 329, 330, 331, 346, 347, 348, 349, 350, 367,
368, 387, 706, 707, 708, 709, 710, 711, 726, 727, 728, 729, 730, 731, 746, 747,
748, 749, 750, 766, 767, 768, 769, 787, 788, 1086, 1087, 1089, 1090, 1106, 1107, 1108,
1109, 1110, 1111, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1146, 1147, 1148, 1149, 1150, 1151,
1152, 1166, 1167, 1168, 1169, 1170, 1186, 1187, 1188, 1487, 1488, 1489, 1490, 1506, 1507, 1508,
1509, 1510, 1511, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1546, 1547, 1548, 1549, 1550,
1551, 1552, 1566, 1567, 1568, 1569, 1570, 1586, 1587, 1588, 1589, 1887, 1888, 1889, 1890, 1906,
1907, 1908, 1909, 1910, 1911, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1945, 1946, 1947, 1948,
1949, 1950, 1951, 1966, 1967, 1968, 1969, 1970, 1986, 1987, 1988, 1989, 1990
*Elset, elset=Grain22_set
323, 324, 325, 341, 342, 343, 344, 345, 361, 362, 363, 364, 365, 366, 381, 382,
383, 384, 385, 386, 724, 725, 741, 742, 743, 744, 745, 761, 762, 763, 764, 765,
781, 782, 783, 784, 785, 786, 1141, 1142, 1143, 1144, 1145, 1161, 1162, 1163, 1164, 1165,
1181, 1182, 1183, 1184, 1185, 1541, 1542, 1543, 1544, 1545, 1561, 1562, 1563, 1564, 1565, 1581,
1582, 1583, 1584, 1585
*Elset, elset=Grain23_set
3042, 3061, 3062, 3063, 3064, 3442, 3461, 3462, 3463, 3464, 3481, 3482, 3483, 3484, 3485, 3501,
3502, 3503, 3504, 3841, 3842, 3843, 3844, 3861, 3862, 3863, 3864, 3865, 3881, 3882, 3883, 3884,
3885, 3901, 3902, 3903, 3904, 3905, 3906, 3921, 3922, 3923, 3924, 3925, 4241, 4242, 4243, 4244,
4245, 4261, 4262, 4263, 4264, 4265, 4281, 4282, 4283, 4284, 4285, 4301, 4302, 4303, 4304, 4305,
4306, 4321, 4322, 4323, 4324, 4325, 4326, 4341, 4342, 4343, 4344, 4345, 4346, 4621, 4622, 4623,
4624, 4641, 4642, 4643, 4644, 4645, 4661, 4662, 4663, 4664, 4665, 4681, 4682, 4683, 4684, 4685,
4686, 4701, 4702, 4703, 4704, 4705, 4706, 4721, 4722, 4723, 4724, 4725, 4726, 4741, 4742, 4743,
4744, 4761, 5021, 5022, 5023, 5024, 5025, 5041, 5042, 5043, 5044, 5045, 5061, 5062, 5063, 5064,
5065, 5066, 5081, 5082, 5083, 5084, 5085, 5086, 5101, 5102, 5103, 5104, 5105, 5106, 5121, 5122,
5123, 5124, 5141, 5142, 5441, 5442, 5443, 5444, 5461, 5462, 5463, 5464, 5465, 5481, 5482, 5483,
5484, 5485, 5501, 5502, 5503, 5504, 5505, 5521, 5522, 5523, 5902, 5903, 5921
*Elset, elset=Grain24_set
5759, 5760, 5780, 6097, 6098, 6099, 6100, 6116, 6117, 6118, 6119, 6120, 6136, 6137, 6138, 6139,
6140, 6156, 6157, 6158, 6159, 6160, 6179, 6180, 6200, 6478, 6479, 6480, 6496, 6497, 6498, 6499,
6500, 6516, 6517, 6518, 6519, 6520, 6536, 6537, 6538, 6539, 6540, 6555, 6556, 6557, 6558, 6559,
6560, 6576, 6577, 6578, 6579, 6580, 6600, 6879, 6880, 6897, 6898, 6899, 6900, 6916, 6917, 6918,
6919, 6920, 6936, 6937, 6938, 6939, 6940, 6955, 6956, 6957, 6958, 6959, 6960, 6975, 6976, 6977,
6978, 6979, 6980, 7298, 7299, 7300, 7316, 7317, 7318, 7319, 7320, 7335, 7336, 7337, 7338, 7339,
7340, 7355, 7356, 7357, 7358, 7359, 7360, 7375, 7376, 7377, 7378, 7379, 7380, 7699, 7700, 7716,
7717, 7718, 7719, 7720, 7735, 7736, 7737, 7738, 7739, 7740, 7755, 7756, 7757, 7758, 7759, 7760,
7777, 7778, 7779, 7780
*Elset, elset=Grain25_set
5253, 5612, 5613, 5614, 5632, 5633, 5634, 5635, 5652, 5653, 5654, 5655, 5673, 5674, 6010, 6011,
6012, 6013, 6014, 6030, 6031, 6032, 6033, 6034, 6035, 6051, 6052, 6053, 6054, 6055, 6056, 6072,
6073, 6074, 6075, 6093, 6094, 6095, 6114, 6115, 6134, 6409, 6410, 6411, 6412, 6413, 6429, 6430,
6431, 6432, 6433, 6434, 6450, 6451, 6452, 6453, 6454, 6455, 6471, 6472, 6473, 6474, 6475, 6492,
6493, 6494, 6495, 6513, 6514, 6515, 6534, 6535, 6810, 6811, 6812, 6813, 6830, 6831, 6832, 6833,
6834, 6850, 6851, 6852, 6853, 6854, 6870, 6871, 6872, 6873, 6874, 6875, 6891, 6892, 6893, 6894,
6895, 6912, 6913, 6914, 6915, 6933, 6934, 6935, 6953, 6954, 6973, 7211, 7230, 7231, 7232, 7233,
7250, 7251, 7252, 7253, 7270, 7271, 7272, 7273, 7274, 7291, 7292, 7293, 7294, 7311, 7312, 7313,
7314, 7315, 7333, 7334, 7353, 7354, 7373, 7631, 7650, 7651, 7652, 7670, 7671, 7672, 7673, 7691,
7692, 7693, 7711, 7712, 7713, 7714, 7733, 7734, 7753, 7754, 7773
*Elset, elset=Grain26_set
2114, 2133, 2134, 2135, 2136, 2150, 2151, 2152, 2156, 2157, 2170, 2171, 2172, 2190, 2191, 2192,
2211, 2212, 2232, 2253, 2513, 2514, 2515, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2549,
2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577,
2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2611, 2612, 2613, 2614, 2615, 2616, 2632, 2633,
2634, 2635, 2636, 2653, 2654, 2655, 2656, 2912, 2913, 2914, 2915, 2916, 2929, 2930, 2931, 2932,
2933, 2934, 2935, 2936, 2937, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2970, 2971,
2972, 2973, 2974, 2975, 2976, 2977, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 3012, 3013, 3014,
3015, 3016, 3017, 3032, 3033, 3034, 3035, 3036, 3037, 3053, 3054, 3055, 3056, 3057, 3312, 3313,
3314, 3330, 3331, 3332, 3333, 3334, 3335, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357,
3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3412,
3413, 3414, 3415, 3416, 3417, 3432, 3433, 3434, 3435, 3436, 3437, 3453, 3454, 3455, 3456, 3457,
3474, 3712, 3713, 3730, 3731, 3732, 3733, 3734, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756,
3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3812,
3813, 3814, 3815, 3816, 3817, 3832, 3833, 3834, 3835, 3836, 3837, 3853, 3854, 3855, 3856, 3857,
3874, 3875, 3876, 4112, 4130, 4131, 4132, 4133, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4170,
4171, 4172, 4173, 4174, 4175, 4176, 4177, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4212, 4213,
4214, 4215, 4216, 4217, 4232, 4233, 4234, 4235, 4236, 4237, 4253, 4254, 4255, 4256, 4257, 4274,
4275, 4531, 4532, 4549, 4550, 4551, 4552, 4553, 4554, 4569, 4570, 4571, 4572, 4573, 4574, 4575,
4576, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4611, 4612, 4613, 4614, 4615, 4616, 4617,
4632, 4633, 4634, 4635, 4636, 4637, 4653, 4654, 4655, 4656, 4932, 4951, 4952, 4953, 4969, 4970,
4971, 4972, 4973, 4974, 4975, 4990, 4991, 4992, 4993, 4994, 5011, 5012, 5013, 5032, 5372, 5391,
5411
*Elset, elset=Grain27_set
1553, 1554, 1574, 1594, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1932, 1933, 1934, 1935, 1936,
1937, 1938, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1973, 1974, 1975, 1976, 1977, 1993, 1994,
1995, 1996, 1997, 2275, 2276, 2293, 2294, 2295, 2296, 2297, 2298, 2312, 2313, 2314, 2315, 2316,
2317, 2318, 2319, 2320, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2351, 2352, 2353,
2354, 2355, 2356, 2357, 2358, 2359, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2391,
2392, 2393, 2394, 2395, 2396, 2397, 2398, 2674, 2675, 2676, 2677, 2693, 2694, 2695, 2696, 2697,
2698, 2699, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2732, 2733, 2734, 2735, 2736,
2737, 2738, 2739, 2740, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2772, 2773, 2774,
2775, 2776, 2777, 2778, 2779, 2780, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800,
3074, 3075, 3076, 3077, 3078, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3112, 3113, 3114, 3115,
3116, 3117, 3118, 3119, 3120, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3152, 3153,
3154, 3155, 3156, 3157, 3158, 3159, 3160, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180,
3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3475, 3476, 3477, 3494, 3495, 3496, 3497,
3498, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539,
3540, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3572, 3573, 3574, 3575, 3576, 3577,
3578, 3579, 3580, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3877, 3894, 3895,
3896, 3897, 3913, 3914, 3915, 3916, 3917, 3918, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939,
3940, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3972, 3973, 3974, 3975, 3976, 3977,
3978, 3979, 3980, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4294, 4295, 4297,
4313, 4314, 4315, 4316, 4317, 4318, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4352, 4353, 4354,
4355, 4356, 4357, 4358, 4359, 4360, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4391,
4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4759, 4760, 4774, 4775, 4777, 4778, 4779,
4780, 4793, 4794, 4795, 4796, 4797, 4798, 4799, 4800, 5194, 5198, 5199, 5200
*Elset, elset=Grain28_set
4366, 4385, 4386, 4387, 4745, 4746, 4747, 4762, 4763, 4764, 4765, 4766, 4767, 4781, 4782, 4783,
4784, 4785, 4786, 4787, 4788, 5125, 5126, 5143, 5144, 5145, 5146, 5147, 5161, 5162, 5163, 5164,
5165, 5166, 5167, 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5524, 5525, 5526, 5541, 5542,
5543, 5544, 5545, 5546, 5547, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5581, 5582, 5583, 5584,
5585, 5586, 5587, 5588, 5922, 5923, 5924, 5925, 5926, 5941, 5942, 5943, 5944, 5945, 5946, 5947,
5961, 5962, 5963, 5964, 5965, 5966, 5967, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 6325,
6326, 6341, 6342, 6343, 6344, 6345, 6346, 6347, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6381,
6382, 6383, 6384, 6385, 6386, 6387, 6388, 6744, 6745, 6746, 6761, 6762, 6763, 6764, 6765, 6781,
6782, 6783, 6784, 6785, 7164, 7181, 7182, 7183, 7184, 7583
*Elset, elset=Grain29_set
4332, 4351, 4371, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4707, 4708, 4709, 4710, 4711, 4712,
4713, 4727, 4728, 4729, 4730, 4731, 4732, 4733, 4748, 4749, 4750, 4751, 4752, 4753, 4768, 4769,
4770, 4771, 4772, 4773, 4789, 4790, 4791, 4792, 5049, 5050, 5051, 5052, 5067, 5068, 5069, 5070,
5071, 5072, 5073, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5107, 5108, 5109, 5110, 5111, 5112,
5113, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5148, 5149, 5150, 5151, 5152, 5153, 5168, 5169,
5170, 5171, 5172, 5173, 5189, 5190, 5191, 5192, 5193, 5449, 5450, 5451, 5452, 5467, 5468, 5469,
5470, 5471, 5472, 5473, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5506, 5507, 5508, 5509,
5510, 5511, 5512, 5513, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5548, 5549, 5550, 5551, 5552,
5553, 5568, 5569, 5570, 5571, 5572, 5573, 5589, 5590, 5591, 5592, 5593, 5851, 5852, 5869, 5870,
5871, 5872, 5873, 5887, 5888, 5889, 5890, 5891, 5892, 5893, 5906, 5907, 5908, 5909, 5910, 5911,
5912, 5913, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5948, 5949, 5950, 5951, 5952, 5953, 5968,
5969, 5970, 5971, 5972, 5973, 5989, 5990, 5991, 5992, 5993, 6270, 6271, 6272, 6273, 6288, 6289,
6290, 6291, 6292, 6293, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6327, 6328, 6329, 6330, 6331,
6332, 6333, 6348, 6349, 6350, 6351, 6352, 6353, 6368, 6369, 6370, 6371, 6372, 6373, 6390, 6391,
6392, 6393, 6671, 6672, 6673, 6690, 6691, 6692, 6693, 6708, 6709, 6710, 6711, 6712, 6713, 6728,
6729, 6730, 6731, 6732, 6733, 6750, 6751, 6752, 6753, 6772, 6773, 7072, 7091, 7092, 7110, 7111,
7112, 7132, 7133, 7491
*Elset, elset=Grain30_set
9, 10, 11, 12, 13, 14, 15, 16, 17, 30, 31, 32, 33, 34, 35, 36,
37, 50, 51, 52, 53, 54, 55, 56, 71, 72, 73, 74, 91, 92, 93, 111,
112, 409, 410, 411, 412, 413, 414, 415, 416, 430, 431, 432, 433, 434, 435, 436,
437, 450, 451, 452, 453, 454, 455, 456, 471, 472, 473, 474, 492, 493, 809, 810,
811, 812, 813, 814, 815, 830, 831, 832, 833, 834, 835, 850, 851, 852, 853, 854,
855, 871, 872, 873, 874, 893, 1209, 1210, 1211, 1212, 1213, 1214, 1230, 1231, 1232, 1233,
1234, 1250, 1251, 1252, 1253, 1254, 1273, 1274, 1609, 1610, 1611, 1612, 1613, 1614, 1630, 1631,
1632, 1633, 1634, 1650, 1651, 1652, 1653, 1654, 1673, 1674, 2011, 2012, 2013, 2032, 2033, 2052,
2053, 2073
*Elset, elset=Grain31_set
6220, 6239, 6240, 6258, 6259, 6260, 6277, 6278, 6279, 6280, 6299, 6300, 6320, 6340, 6599, 6618,
6619, 6620, 6637, 6638, 6639, 6640, 6655, 6656, 6657, 6658, 6659, 6660, 6675, 6676, 6677, 6678,
6679, 6680, 6694, 6695, 6696, 6697, 6698, 6699, 6700, 6716, 6717, 6718, 6719, 6720, 6737, 6738,
6739, 6740, 6758, 6759, 6760, 6995, 6996, 6997, 6998, 6999, 7000, 7014, 7015, 7016, 7017, 7018,
7019, 7020, 7034, 7035, 7036, 7037, 7038, 7039, 7040, 7053, 7054, 7055, 7056, 7057, 7058, 7059,
7060, 7073, 7074, 7075, 7076, 7077, 7078, 7079, 7080, 7093, 7094, 7095, 7096, 7097, 7098, 7099,
7100, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7134, 7135, 7136, 7137, 7138, 7139, 7140,
7154, 7155, 7156, 7160, 7393, 7394, 7395, 7396, 7397, 7398, 7399, 7400, 7412, 7413, 7414, 7415,
7416, 7417, 7418, 7419, 7420, 7432, 7433, 7434, 7435, 7436, 7437, 7438, 7439, 7440, 7452, 7453,
7454, 7455, 7456, 7457, 7458, 7459, 7460, 7472, 7473, 7474, 7475, 7476, 7477, 7478, 7479, 7480,
7492, 7493, 7494, 7495, 7496, 7497, 7498, 7499, 7500, 7512, 7513, 7514, 7515, 7516, 7517, 7518,
7519, 7520, 7533, 7534, 7535, 7536, 7537, 7538, 7539, 7540, 7774, 7775, 7776, 7793, 7794, 7795,
7796, 7797, 7798, 7799, 7800, 7812, 7813, 7814, 7815, 7816, 7817, 7818, 7819, 7820, 7832, 7833,
7834, 7835, 7836, 7837, 7838, 7839, 7840, 7852, 7853, 7854, 7855, 7856, 7857, 7858, 7859, 7860,
7871, 7872, 7873, 7874, 7875, 7876, 7877, 7878, 7879, 7880, 7892, 7893, 7894, 7895, 7896, 7897,
7898, 7899, 7900, 7912, 7913, 7914, 7915, 7916, 7917, 7918, 7919, 7920, 7933, 7934, 7935, 7936,
7937, 7938, 7939, 7940
*Elset, elset=Grain32_set
400, 760, 780, 799, 800, 1140, 1160, 1179, 1180, 1199, 1200, 1539, 1540, 1559, 1560, 1578,
1579, 1580, 1598, 1599, 1600, 1939, 1940, 1959, 1960, 1978, 1979, 1980, 1998, 1999, 2000, 2340,
2360, 2380, 2399, 2400
*Elset, elset=Grain33_set
18, 19, 20, 39, 40, 417, 418, 419, 420, 438, 439, 440, 459, 460, 816, 817,
818, 819, 820, 836, 837, 838, 839, 840, 856, 857, 858, 859, 860, 880, 1215, 1216,
1217, 1218, 1219, 1220, 1235, 1236, 1237, 1238, 1239, 1240, 1255, 1256, 1257, 1258, 1259, 1260,
1276, 1277, 1278, 1279, 1280, 1300, 1615, 1616, 1617, 1618, 1619, 1620, 1635, 1636, 1637, 1638,
1639, 1640, 1655, 1656, 1657, 1658, 1659, 1660, 1675, 1676, 1677, 1678, 1679, 1680, 1695, 1696,
1697, 1698, 1699, 1700, 1719, 1720, 1740, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2034, 2035,
2036, 2037, 2038, 2039, 2040, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2074, 2075, 2076, 2077,
2078, 2079, 2080, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2115, 2116, 2117, 2118, 2119, 2120,
2139, 2140, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2434, 2435, 2436, 2437, 2438, 2439, 2440,
2454, 2455, 2456, 2457, 2458, 2459, 2460, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2494, 2495,
2496, 2497, 2498, 2499, 2500, 2516, 2517, 2518, 2519, 2520, 2538, 2539, 2815, 2816, 2817, 2818,
2819, 2820, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2855, 2856, 2857, 2858, 2859, 2860, 2875,
2876, 2877, 2878, 2879, 2880, 2896, 2897, 2898, 2899, 2900, 2918, 2919, 2920, 2938, 3215, 3216,
3217, 3218, 3219, 3220, 3235, 3236, 3237, 3238, 3239, 3240, 3255, 3256, 3257, 3258, 3259, 3260,
3278, 3279, 3280, 3616, 3617, 3618, 3619, 3637, 3638
*Elset, elset=Grain34_set
4961, 4962, 4963, 4981, 4982, 4983, 4984, 4985, 5001, 5002, 5003, 5004, 5005, 5321, 5322, 5323,
5324, 5341, 5342, 5343, 5344, 5345, 5346, 5361, 5362, 5363, 5364, 5365, 5366, 5381, 5382, 5383,
5384, 5385, 5401, 5402, 5403, 5404, 5405, 5421, 5422, 5423, 5424, 5701, 5721, 5722, 5723, 5724,
5725, 5741, 5742, 5743, 5744, 5745, 5746, 5761, 5762, 5763, 5764, 5765, 5766, 5781, 5782, 5783,
5784, 5785, 5801, 5802, 5803, 5804, 5805, 5821, 5822, 5823, 5824, 6101, 6121, 6122, 6123, 6124,
6125, 6141, 6142, 6143, 6144, 6145, 6146, 6161, 6162, 6163, 6164, 6165, 6181, 6182, 6183, 6184,
6185, 6201, 6202, 6203, 6204, 6521, 6522, 6541, 6542, 6543, 6544, 6545, 6561, 6562, 6563, 6564,
6565, 6581, 6582, 6583, 6584, 6585, 6601, 6602, 6603, 6981, 6982, 6983, 6984
*Elset, elset=Grain35_set
6420, 6440, 6819, 6820, 6839, 6840, 6860, 7219, 7220, 7239, 7240, 7259, 7260, 7280, 7619, 7620,
7639, 7640, 7659, 7660, 7680
*Elset, elset=Grain36_set
6481, 6482, 6501, 6502, 6503, 6504, 6505, 6523, 6524, 6525, 6861, 6862, 6863, 6864, 6881, 6882,
6883, 6884, 6885, 6901, 6902, 6903, 6904, 6905, 6921, 6922, 6923, 6924, 6941, 6942, 6943, 6944,
6961, 6962, 6963, 6964, 7241, 7242, 7261, 7262, 7263, 7264, 7281, 7282, 7283, 7284, 7285, 7301,
7302, 7303, 7304, 7305, 7321, 7322, 7323, 7324, 7341, 7342, 7343, 7344, 7361, 7362, 7363, 7364,
7381, 7382, 7383, 7641, 7661, 7662, 7663, 7664, 7681, 7682, 7683, 7684, 7685, 7701, 7702, 7703,
7704, 7705, 7721, 7722, 7723, 7724, 7741, 7742, 7743, 7744, 7761, 7762, 7763, 7764, 7781, 7782,
7783
*Elset, elset=Grain37_set
6389, 6747, 6748, 6749, 6766, 6767, 6768, 6769, 6770, 6771, 6786, 6787, 6788, 6789, 6790, 6791,
6792, 6793, 7108, 7109, 7127, 7128, 7129, 7130, 7131, 7145, 7146, 7147, 7148, 7149, 7150, 7151,
7152, 7153, 7165, 7166, 7167, 7168, 7169, 7170, 7171, 7172, 7173, 7185, 7186, 7187, 7188, 7189,
7190, 7191, 7192, 7193, 7508, 7509, 7510, 7511, 7526, 7527, 7528, 7529, 7530, 7531, 7532, 7545,
7546, 7547, 7548, 7549, 7550, 7551, 7552, 7553, 7564, 7565, 7566, 7567, 7568, 7569, 7570, 7571,
7572, 7573, 7584, 7585, 7586, 7587, 7588, 7589, 7590, 7591, 7592, 7889, 7890, 7891, 7907, 7908,
7909, 7910, 7911, 7926, 7927, 7928, 7929, 7930, 7931, 7932, 7945, 7946, 7947, 7948, 7949, 7950,
7951, 7952, 7953, 7964, 7965, 7966, 7967, 7968, 7969, 7970, 7971, 7972, 7983, 7984, 7985, 7986,
7987, 7988, 7989, 7990, 7991, 7992
*Elset, elset=Grain38_set
2306, 2307, 2308, 2309, 2310, 2326, 2327, 2328, 2329, 2330, 2346, 2347, 2348, 2349, 2350, 2366,
2367, 2368, 2369, 2370, 2387, 2388, 2389, 2390, 2706, 2707, 2708, 2709, 2710, 2726, 2727, 2728,
2729, 2730, 2731, 2746, 2747, 2748, 2749, 2750, 2751, 2766, 2767, 2768, 2769, 2770, 2771, 2786,
2787, 2788, 2789, 2790, 3105, 3106, 3107, 3108, 3109, 3110, 3125, 3126, 3127, 3128, 3129, 3130,
3131, 3146, 3147, 3148, 3149, 3150, 3151, 3166, 3167, 3168, 3169, 3170, 3171, 3186, 3187, 3188,
3189, 3190, 3191, 3506, 3507, 3508, 3526, 3527, 3528, 3529, 3530, 3531, 3546, 3547, 3548, 3549,
3550, 3551, 3566, 3567, 3568, 3569, 3570, 3571, 3587, 3588, 3589, 3590, 3926, 3927, 3928, 3929,
3930, 3931, 3946, 3947, 3948, 3949, 3950, 3951, 3966, 3967, 3968, 3969, 3970, 3971, 3987, 3988,
3989, 3990, 4327, 4328, 4329, 4347, 4348, 4349, 4350, 4367, 4368, 4369, 4370, 4388, 4389, 4390
*Elset, elset=Grain39_set
226, 227, 228, 229, 230, 246, 247, 248, 249, 250, 267, 268, 269, 270, 287, 288,
289, 290, 606, 607, 608, 609, 610, 611, 626, 627, 628, 629, 630, 631, 646, 647,
648, 649, 650, 667, 668, 669, 670, 687, 688, 689, 690, 1006, 1007, 1008, 1009, 1010,
1011, 1026, 1027, 1028, 1029, 1030, 1031, 1046, 1047, 1048, 1049, 1050, 1051, 1066, 1067, 1068,
1069, 1070, 1088, 1406, 1407, 1408, 1409, 1410, 1426, 1427, 1428, 1429, 1430, 1431, 1446, 1447,
1448, 1449, 1450, 1451, 1466, 1467, 1468, 1469, 1470, 1471, 1806, 1807, 1808, 1809, 1810, 1826,
1827, 1828, 1829, 1830, 1831, 1846, 1847, 1848, 1849, 1850, 1851, 1866, 1867, 1868, 1869, 1870,
1871, 2206, 2207, 2226, 2227, 2228, 2246, 2247, 2268
*Elset, elset=Grain40_set
221, 222, 223, 224, 225, 241, 242, 243, 244, 245, 261, 262, 263, 264, 265, 266,
281, 282, 283, 284, 285, 286, 301, 302, 303, 304, 305, 306, 321, 322, 621, 622,
623, 624, 625, 641, 642, 643, 644, 645, 661, 662, 663, 664, 665, 666, 681, 682,
683, 684, 685, 686, 701, 702, 703, 704, 705, 721, 722, 723, 1001, 1002, 1021, 1022,
1023, 1024, 1025, 1041, 1042, 1043, 1044, 1045, 1061, 1062, 1063, 1064, 1065, 1081, 1082, 1083,
1084, 1085, 1101, 1102, 1103, 1104, 1105, 1121, 1122, 1123, 1124, 1401, 1402, 1403, 1421, 1422,
1423, 1424, 1425, 1441, 1442, 1443, 1444, 1445, 1461, 1462, 1463, 1464, 1465, 1481, 1482, 1483,
1484, 1485, 1486, 1501, 1502, 1503, 1504, 1505, 1521, 1522, 1523, 1524, 1801, 1802, 1803, 1821,
1822, 1823, 1824, 1825, 1841, 1842, 1843, 1844, 1845, 1861, 1862, 1863, 1864, 1865, 1881, 1882,
1883, 1884, 1885, 1886, 1901, 1902, 1903, 1904, 1905, 1921, 1922, 1923, 2221, 2222, 2223, 2224,
2225, 2241, 2242, 2243, 2244, 2245, 2261, 2262, 2263, 2264, 2265, 2281, 2282, 2283, 2284, 2285,
2641, 2642, 2643, 2644, 2661, 2662, 2663, 2664
*Elset, elset=Grain41_set
2895, 2917, 3275, 3276, 3277, 3294, 3295, 3296, 3297, 3298, 3315, 3316, 3317, 3318, 3319, 3336,
3337, 3338, 3636, 3655, 3656, 3657, 3674, 3675, 3676, 3677, 3678, 3693, 3694, 3695, 3696, 3697,
3698, 3714, 3715, 3716, 3717, 3718, 3719, 3735, 3736, 3737, 3738, 3757, 4016, 4035, 4036, 4054,
4055, 4056, 4057, 4074, 4075, 4076, 4077, 4093, 4094, 4095, 4096, 4097, 4098, 4113, 4114, 4115,
4116, 4117, 4118, 4119, 4134, 4135, 4136, 4137, 4138, 4139, 4156, 4157, 4158, 4435, 4454, 4455,
4456, 4473, 4474, 4475, 4476, 4477, 4493, 4494, 4495, 4496, 4497, 4498, 4512, 4513, 4514, 4515,
4516, 4517, 4518, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4555, 4556, 4557, 4558, 4559, 4577,
4578, 4815, 4834, 4835, 4854, 4855, 4856, 4873, 4874, 4875, 4876, 4877, 4893, 4894, 4895, 4896,
4897, 4913, 4914, 4915, 4916, 4917, 4918, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4954, 4955,
4956, 4957, 4958, 4959, 4976, 4977, 4978, 4979, 5215, 5234, 5235, 5254, 5255, 5256, 5273, 5274,
5275, 5276, 5293, 5294, 5295, 5296, 5297, 5313, 5314, 5315, 5316, 5317, 5318, 5333, 5334, 5335,
5336, 5337, 5338, 5339, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5656, 5675, 5676, 5694, 5695,
5696, 5697, 5714, 5715, 5716, 5717, 5718, 5734, 5735, 5736, 5737, 5738, 5739, 5754, 5755, 5756,
5757, 5758, 6076, 6096, 6135
*Elset, elset=Grain42_set
1924, 1941, 1942, 1943, 1944, 1961, 1962, 1963, 1964, 1965, 1981, 1982, 1983, 1984, 1985, 2301,
2302, 2303, 2304, 2305, 2321, 2322, 2323, 2324, 2325, 2341, 2342, 2343, 2344, 2345, 2361, 2362,
2363, 2364, 2365, 2381, 2382, 2383, 2384, 2385, 2386, 2681, 2682, 2683, 2684, 2701, 2702, 2703,
2704, 2705, 2721, 2722, 2723, 2724, 2725, 2741, 2742, 2743, 2744, 2745, 2761, 2762, 2763, 2764,
2765, 2781, 2782, 2783, 2784, 2785, 3081, 3082, 3083, 3084, 3101, 3102, 3103, 3104, 3121, 3122,
3123, 3124, 3141, 3142, 3143, 3144, 3145, 3161, 3162, 3163, 3164, 3165, 3181, 3182, 3183, 3184,
3185, 3505, 3521, 3522, 3523, 3524, 3525, 3541, 3542, 3543, 3544, 3545, 3561, 3562, 3563, 3564,
3565, 3581, 3582, 3583, 3584, 3585, 3586, 3941, 3942, 3943, 3944, 3945, 3961, 3962, 3963, 3964,
3965, 3981, 3982, 3983, 3984, 3985, 3986, 4361, 4362, 4363, 4364, 4365, 4381, 4382, 4383, 4384
*Elset, elset=Grain43_set
4529, 4530, 4889, 4890, 4891, 4892, 4907, 4908, 4909, 4910, 4911, 4912, 4927, 4928, 4929, 4930,
4931, 4948, 4949, 4950, 5249, 5250, 5251, 5268, 5269, 5270, 5271, 5272, 5288, 5289, 5290, 5291,
5292, 5307, 5308, 5309, 5310, 5311, 5312, 5327, 5328, 5329, 5330, 5331, 5332, 5347, 5348, 5349,
5350, 5351, 5352, 5369, 5370, 5371, 5630, 5631, 5649, 5650, 5651, 5668, 5669, 5670, 5671, 5672,
5687, 5688, 5689, 5690, 5691, 5692, 5693, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5726, 5727,
5728, 5729, 5730, 5731, 5732, 5733, 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5769, 5770, 5771,
5772, 5791, 6029, 6048, 6049, 6050, 6067, 6068, 6069, 6070, 6071, 6087, 6088, 6089, 6090, 6091,
6092, 6107, 6108, 6109, 6110, 6111, 6112, 6113, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133,
6147, 6148, 6149, 6150, 6151, 6152, 6153, 6154, 6169, 6170, 6171, 6172, 6448, 6449, 6467, 6468,
6469, 6470, 6487, 6488, 6489, 6490, 6491, 6506, 6507, 6508, 6509, 6510, 6511, 6512, 6526, 6527,
6528, 6529, 6530, 6531, 6532, 6533, 6546, 6547, 6548, 6549, 6550, 6551, 6552, 6553, 6554, 6569,
6570, 6571, 6572, 6591, 6849, 6868, 6869, 6887, 6888, 6889, 6890, 6908, 6909, 6910, 6911, 6928,
6929, 6930, 6931, 6932, 6949, 6950, 6951, 6952, 6969, 6970, 6971, 6972, 6991, 6992, 7289, 7290,
7309, 7310, 7330, 7331, 7332, 7350, 7351, 7352, 7371, 7372, 7391, 7392, 7689, 7690, 7710, 7730,
7731, 7732, 7751, 7752, 7772
*Elset, elset=Grain44_set
194, 195, 196, 197, 211, 212, 213, 214, 215, 216, 217, 231, 232, 233, 234, 235,
236, 237, 238, 251, 252, 253, 254, 255, 256, 257, 258, 271, 272, 273, 274, 275,
276, 277, 278, 291, 292, 293, 294, 295, 296, 297, 298, 299, 311, 312, 313, 314,
315, 316, 332, 333, 334, 335, 353, 354, 615, 616, 617, 632, 633, 634, 635, 636,
637, 651, 652, 653, 654, 655, 656, 657, 671, 672, 673, 674, 675, 676, 677, 678,
691, 692, 693, 694, 695, 696, 697, 698, 712, 713, 714, 715, 716, 732, 733, 734,
735, 753, 754, 1032, 1033, 1034, 1035, 1036, 1052, 1053, 1054, 1055, 1056, 1057, 1071, 1072,
1073, 1074, 1075, 1076, 1077, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1112, 1113, 1114, 1115,
1116, 1132, 1133, 1134, 1135, 1153, 1154, 1436, 1452, 1453, 1454, 1455, 1456, 1472, 1473, 1474,
1475, 1476, 1477, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1512, 1513, 1514, 1515, 1516, 1533,
1534, 1535, 1852, 1853, 1854, 1855, 1856, 1872, 1873, 1874, 1875, 1876, 1891, 1892, 1893, 1894,
1895, 1896, 1912, 2254, 2255, 2273, 2274
*Elset, elset=Grain45_set
101, 102, 103, 104, 121, 122, 123, 124, 125, 141, 142, 143, 144, 145, 161, 162,
163, 164, 165, 181, 182, 183, 184, 185, 201, 202, 203, 204, 205, 501, 502, 503,
504, 521, 522, 523, 524, 525, 541, 542, 543, 544, 545, 561, 562, 563, 564, 565,
581, 582, 583, 584, 585, 601, 602, 603, 604, 605, 901, 902, 903, 904, 921, 922,
923, 924, 925, 941, 942, 943, 944, 945, 961, 962, 963, 964, 965, 981, 982, 983,
984, 985, 1003, 1004, 1005, 1301, 1302, 1303, 1304, 1321, 1322, 1323, 1324, 1325, 1341, 1342,
1343, 1344, 1345, 1361, 1362, 1363, 1364, 1365, 1381, 1382, 1383, 1384, 1385, 1404, 1405, 1701,
1702, 1703, 1704, 1721, 1722, 1723, 1724, 1725, 1741, 1742, 1743, 1744, 1745, 1761, 1762, 1763,
1764, 1765, 1781, 1782, 1783, 1784, 1785, 1804, 1805
*Elset, elset=Grain46_set
5615, 5616, 6015, 6016, 6017, 6018, 6036, 6037, 6414, 6415, 6416, 6417, 6418, 6419, 6435, 6436,
6437, 6438, 6439, 6456, 6457, 6458, 6459, 6476, 6477, 6814, 6815, 6816, 6817, 6818, 6835, 6836,
6837, 6838, 6855, 6856, 6857, 6858, 6859, 6876, 6877, 6878, 6896, 7212, 7213, 7214, 7215, 7216,
7217, 7218, 7234, 7235, 7236, 7237, 7238, 7254, 7255, 7256, 7257, 7258, 7275, 7276, 7277, 7278,
7279, 7295, 7296, 7297, 7611, 7612, 7613, 7614, 7615, 7616, 7617, 7618, 7632, 7633, 7634, 7635,
7636, 7637, 7638, 7653, 7654, 7655, 7656, 7657, 7658, 7674, 7675, 7676, 7677, 7678, 7679, 7694,
7695, 7696, 7697, 7698, 7715
*Elset, elset=Grain47_set
351, 352, 369, 370, 371, 372, 373, 388, 389, 390, 391, 392, 393, 394, 751, 752,
770, 771, 772, 773, 789, 790, 791, 792, 793, 794, 1171, 1172, 1173, 1189, 1190, 1191,
1192, 1193, 1194, 1571, 1572, 1573, 1590, 1591, 1592, 1593, 1971, 1972, 1991, 1992
*Elset, elset=Grain48_set
2188, 2189, 2208, 2209, 2210, 2229, 2230, 2231, 2248, 2249, 2250, 2251, 2252, 2266, 2267, 2269,
2270, 2271, 2272, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2311, 2568, 2569, 2587, 2588, 2589,
2606, 2607, 2608, 2609, 2610, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2645, 2646, 2647, 2648,
2649, 2650, 2651, 2652, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2685, 2686, 2687,
2688, 2689, 2690, 2691, 2692, 2711, 2968, 2969, 2987, 2988, 2989, 2990, 3006, 3007, 3008, 3009,
3010, 3011, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3045, 3046, 3047, 3048, 3049, 3050, 3051,
3052, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3085, 3086, 3087, 3088, 3089, 3090,
3091, 3092, 3111, 3368, 3369, 3387, 3388, 3389, 3390, 3406, 3407, 3408, 3409, 3410, 3411, 3426,
3427, 3428, 3429, 3430, 3431, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3465, 3466, 3467,
3468, 3469, 3470, 3471, 3472, 3473, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3509, 3510,
3511, 3512, 3768, 3769, 3787, 3788, 3789, 3790, 3806, 3807, 3808, 3809, 3810, 3811, 3826, 3827,
3828, 3829, 3830, 3831, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3866, 3867, 3868, 3869,
3870, 3871, 3872, 3873, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3907, 3908, 3909, 3910,
3911, 3912, 4168, 4169, 4187, 4188, 4189, 4190, 4206, 4207, 4208, 4209, 4210, 4211, 4226, 4227,
4228, 4229, 4230, 4231, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4266, 4267, 4268, 4269, 4270,
4271, 4272, 4273, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4307, 4308, 4309, 4310, 4311,
4312, 4330, 4331, 4568, 4587, 4588, 4589, 4606, 4607, 4608, 4609, 4610, 4626, 4627, 4628, 4629,
4630, 4631, 4646, 4647, 4648, 4649, 4650, 4651, 4652, 4666, 4667, 4668, 4669, 4670, 4671, 4672,
4673, 4989, 5007, 5008, 5009, 5010, 5027, 5028, 5029, 5030, 5031, 5047, 5048
*Elset, elset=Grain49_set
180, 198, 199, 200, 218, 219, 220, 239, 240, 259, 260, 279, 280, 579, 580, 597,
598, 599, 600, 618, 619, 620, 638, 639, 640, 658, 659, 660, 679, 680, 699, 700,
960, 979, 980, 997, 998, 999, 1000, 1017, 1018, 1019, 1020, 1037, 1038, 1039, 1040, 1058,
1059, 1060, 1078, 1079, 1080, 1098, 1099, 1100, 1359, 1360, 1378, 1379, 1380, 1397, 1398, 1399,
1400, 1417, 1418, 1419, 1420, 1437, 1438, 1439, 1440, 1457, 1458, 1459, 1460, 1478, 1479, 1480,
1498, 1499, 1500, 1520, 1759, 1760, 1778, 1779, 1780, 1797, 1798, 1799, 1800, 1817, 1818, 1819,
1820, 1837, 1838, 1839, 1840, 1857, 1858, 1859, 1860, 1877, 1878, 1879, 1880, 1897, 1898, 1899,
1900, 1920, 2158, 2159, 2160, 2178, 2179, 2180, 2197, 2198, 2199, 2200, 2217, 2218, 2219, 2220,
2236, 2237, 2238, 2239, 2240, 2256, 2257, 2258, 2259, 2260, 2277, 2278, 2279, 2280, 2299, 2300,
2579, 2580, 2598, 2599, 2600, 2617, 2618, 2619, 2620, 2637, 2638, 2639, 2640, 2657, 2658, 2659,
2660, 2678, 2679, 2680, 2700
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_gbels.txt
================================================
GBManhattanDistances FeatureIds
4 15
3 15
2 15
1 15
0 15
0 1
1 1
0 1
0 30
1 30
2 30
3 30
4 30
3 30
2 30
1 30
0 30
0 33
1 33
1 33
3 15
2 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 30
1 30
2 30
3 30
2 30
1 30
1 30
0 30
0 7
0 33
0 33
2 15
2 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 30
1 30
2 30
2 30
1 30
0 30
0 30
0 7
1 7
0 7
0 7
1 15
1 15
1 15
0 15
0 1
1 1
2 1
2 1
1 1
0 1
0 30
1 30
1 30
0 30
0 7
0 7
1 7
2 7
1 7
1 7
0 15
0 15
0 15
0 15
0 1
1 1
1 1
1 1
1 1
0 1
0 30
1 30
0 30
0 7
1 7
1 7
2 7
3 7
2 7
2 7
0 45
0 45
0 45
0 45
0 1
0 1
0 1
0 1
0 1
0 1
0 30
0 30
0 7
1 7
2 7
2 7
3 7
3 7
3 7
2 7
1 45
1 45
1 45
1 45
0 45
0 17
0 17
0 17
0 17
0 17
0 17
0 7
1 7
2 7
2 7
2 7
2 7
2 7
2 7
1 7
2 45
2 45
2 45
1 45
0 45
0 17
1 17
1 17
1 17
1 17
0 17
0 7
0 7
1 7
1 7
1 7
1 7
1 7
1 7
0 7
2 45
2 45
2 45
1 45
0 45
0 17
1 17
2 17
2 17
1 17
0 17
0 2
0 2
0 7
0 7
0 7
0 7
0 7
0 7
0 49
1 45
1 45
1 45
1 45
0 45
0 17
1 17
1 17
1 17
1 17
0 17
0 2
0 2
0 44
0 44
0 44
0 44
0 49
0 49
1 49
0 45
0 45
0 45
0 45
0 45
0 17
0 17
0 17
0 17
0 17
0 44
0 44
0 44
0 44
1 44
1 44
0 44
0 49
1 49
2 49
0 40
0 40
0 40
0 40
0 40
0 39
0 39
0 39
0 39
0 39
0 44
1 44
1 44
1 44
2 44
2 44
1 44
0 44
0 49
1 49
1 40
1 40
1 40
1 40
0 40
0 39
1 39
1 39
1 39
0 39
0 44
1 44
2 44
2 44
3 44
2 44
1 44
0 44
0 49
1 49
2 40
2 40
2 40
2 40
1 40
0 40
0 39
1 39
1 39
0 39
0 44
1 44
2 44
3 44
3 44
2 44
1 44
0 44
0 49
0 49
2 40
2 40
1 40
1 40
1 40
0 40
0 39
0 39
0 39
0 39
0 44
1 44
2 44
3 44
2 44
1 44
0 44
0 44
0 44
0 13
1 40
1 40
0 40
0 40
0 40
0 40
0 21
0 21
0 21
0 21
0 44
1 44
2 44
2 44
1 44
0 44
0 13
0 13
0 13
1 13
0 40
0 40
0 22
0 22
0 22
0 21
1 21
1 21
1 21
1 21
0 21
0 44
1 44
1 44
0 44
0 13
1 13
1 13
1 13
1 13
0 22
0 22
1 22
1 22
0 22
0 21
1 21
1 21
0 21
0 21
0 47
0 47
0 44
0 44
0 13
1 13
2 13
2 13
1 13
0 13
1 22
1 22
2 22
2 22
1 22
0 22
0 21
0 21
0 47
0 47
1 47
1 47
0 47
0 13
1 13
2 13
3 13
2 13
1 13
0 13
2 22
2 22
3 22
2 22
1 22
0 22
0 21
0 47
1 47
1 47
2 47
2 47
1 47
0 47
0 13
1 13
2 13
1 13
0 13
0 32
4 15
3 15
2 15
1 15
0 15
0 1
1 1
0 1
0 30
1 30
2 30
3 30
3 30
2 30
1 30
0 30
0 33
1 33
2 33
2 33
3 15
3 15
2 15
1 15
0 15
0 1
1 1
1 1
0 1
0 30
1 30
2 30
3 30
2 30
1 30
0 30
0 30
0 33
1 33
1 33
2 15
2 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 30
1 30
2 30
2 30
1 30
0 30
0 30
0 7
0 7
0 33
0 33
1 15
1 15
1 15
0 15
0 1
1 1
2 1
2 1
1 1
0 1
0 30
1 30
1 30
0 30
0 7
0 7
1 7
1 7
0 7
0 7
0 15
0 15
0 15
0 15
0 1
1 1
1 1
1 1
1 1
0 1
0 11
0 30
0 30
0 7
1 7
1 7
2 7
2 7
1 7
1 7
0 45
0 45
0 45
0 45
0 1
1 1
0 1
0 1
0 1
0 11
0 11
0 11
0 7
1 7
2 7
2 7
3 7
3 7
2 7
2 7
1 45
1 45
1 45
1 45
0 45
0 1
0 17
0 17
0 17
0 17
0 11
0 11
0 7
1 7
1 7
1 7
2 7
2 7
1 7
1 7
2 45
2 45
2 45
1 45
0 45
0 17
1 17
1 17
1 17
0 17
0 11
0 11
0 7
0 7
0 7
0 7
1 7
1 7
0 7
0 7
2 45
2 45
2 45
1 45
0 45
0 17
1 17
1 17
1 17
1 17
0 17
0 2
0 2
0 2
0 2
0 2
0 7
0 7
0 49
0 49
1 45
1 45
1 45
1 45
0 45
0 17
0 17
0 17
0 17
0 17
0 17
0 2
1 2
0 2
0 2
0 2
0 49
0 49
1 49
1 49
0 45
0 45
0 45
0 45
0 45
0 39
0 39
0 39
0 39
0 39
0 39
0 2
0 2
0 2
0 44
0 44
0 44
0 49
1 49
2 49
0 40
0 40
0 40
0 40
0 40
0 39
1 39
1 39
1 39
1 39
0 39
0 44
0 44
0 44
1 44
1 44
0 44
0 49
1 49
2 49
1 40
1 40
1 40
1 40
0 40
0 39
1 39
2 39
1 39
0 39
0 44
1 44
1 44
1 44
2 44
1 44
0 44
0 49
1 49
2 49
2 40
2 40
2 40
2 40
1 40
0 40
0 39
1 39
1 39
0 39
0 44
1 44
2 44
2 44
3 44
2 44
1 44
0 44
0 49
1 49
2 40
2 40
2 40
1 40
1 40
0 40
0 39
0 39
0 39
0 39
0 44
1 44
2 44
3 44
2 44
1 44
0 44
0 44
0 49
0 49
1 40
1 40
1 40
0 40
0 40
0 21
0 21
0 21
0 21
0 21
0 21
0 44
1 44
2 44
1 44
0 44
0 13
0 13
0 13
0 13
0 40
0 40
0 40
0 22
0 22
0 21
1 21
1 21
1 21
1 21
0 21
0 44
1 44
1 44
0 44
0 13
1 13
1 13
1 13
0 13
0 22
0 22
0 22
1 22
0 22
0 21
1 21
2 21
1 21
0 21
0 47
0 47
0 44
0 44
0 13
1 13
2 13
1 13
0 13
0 32
1 22
1 22
1 22
1 22
0 22
0 21
1 21
1 21
0 21
0 47
1 47
1 47
0 47
0 13
1 13
2 13
2 13
1 13
0 13
0 32
2 22
2 22
2 22
2 22
1 22
0 22
0 21
0 21
0 47
1 47
2 47
2 47
1 47
0 47
0 13
1 13
1 13
0 13
0 32
1 32
4 15
3 15
2 15
1 15
0 15
0 1
1 1
0 1
0 30
1 30
2 30
3 30
2 30
1 30
0 30
0 33
1 33
2 33
2 33
3 33
3 15
2 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 30
1 30
2 30
2 30
1 30
0 30
0 33
0 33
1 33
1 33
2 33
2 15
2 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 30
1 30
1 30
2 30
1 30
0 30
0 33
0 33
0 33
0 33
1 33
1 15
1 15
1 15
0 15
0 1
1 1
2 1
2 1
1 1
0 1
0 30
0 30
1 30
0 30
0 7
0 7
0 7
0 7
0 7
0 33
0 15
0 15
0 15
0 15
0 1
1 1
1 1
1 1
0 1
0 11
0 11
0 11
0 30
0 7
1 7
1 7
1 7
1 7
1 7
0 7
0 45
0 45
0 45
0 45
0 1
1 1
0 1
0 1
0 11
1 11
1 11
0 11
0 7
1 7
2 7
2 7
2 7
2 7
1 7
1 7
1 45
1 45
1 45
1 45
0 45
0 1
0 17
0 17
0 17
0 11
1 11
0 11
0 7
0 7
1 7
1 7
2 7
2 7
1 7
0 7
2 45
2 45
2 45
1 45
0 45
0 17
1 17
1 17
1 17
0 17
0 11
0 2
0 2
0 2
0 7
0 7
1 7
1 7
0 7
0 49
1 45
1 45
2 45
1 45
0 45
0 17
1 17
1 17
1 17
1 17
0 17
0 2
1 2
1 2
0 2
0 2
0 7
0 7
0 49
1 49
0 45
0 45
1 45
1 45
0 45
0 17
0 17
0 17
0 17
0 17
0 17
0 2
1 2
1 2
1 2
0 2
0 49
0 49
1 49
2 49
0 40
0 40
0 45
0 45
0 45
0 39
0 39
0 39
0 39
0 39
0 39
0 2
0 2
0 2
0 2
0 2
0 49
1 49
2 49
3 49
1 40
1 40
0 40
0 40
0 40
0 39
1 39
1 39
1 39
1 39
0 39
0 44
0 44
0 44
0 44
0 44
0 49
1 49
2 49
3 49
2 40
2 40
1 40
1 40
0 40
0 39
1 39
2 39
1 39
1 39
0 39
0 44
1 44
1 44
1 44
1 44
0 44
0 49
1 49
2 49
3 40
3 40
2 40
1 40
0 40
0 39
0 39
1 39
0 39
0 39
0 44
1 44
2 44
2 44
2 44
1 44
0 44
0 49
1 49
1 49
2 40
2 40
2 40
1 40
0 40
0 21
0 21
0 39
0 21
0 21
0 44
1 44
2 44
2 44
2 44
1 44
0 44
0 49
0 49
0 49
1 40
1 40
1 40
1 40
0 40
0 21
1 21
0 21
1 21
1 21
0 21
0 44
1 44
1 44
1 44
0 44
0 13
0 13
0 13
0 13
0 40
0 40
0 40
0 40
0 21
1 21
2 21
1 21
2 21
1 21
0 21
0 44
1 44
1 44
0 44
0 13
1 13
1 13
0 13
0 32
0 22
0 22
0 22
0 22
0 22
0 21
1 21
2 21
1 21
1 21
0 21
0 21
0 44
0 44
0 13
1 13
1 13
1 13
0 13
0 32
1 22
1 22
1 22
1 22
0 22
0 21
1 21
1 21
0 21
0 21
0 47
0 47
0 47
0 13
1 13
1 13
1 13
0 13
0 32
1 32
1 22
1 22
1 22
1 22
0 22
0 21
1 21
0 21
0 47
0 47
1 47
1 47
1 47
0 47
0 13
1 13
1 13
0 13
0 32
1 32
3 15
3 15
2 15
1 15
0 15
0 1
1 1
0 1
0 30
1 30
2 30
2 30
1 30
0 30
0 33
1 33
2 33
3 33
3 33
4 33
3 15
2 15
1 15
0 15
0 1
1 1
1 1
1 1
0 1
0 30
1 30
1 30
1 30
0 30
0 33
1 33
1 33
2 33
2 33
3 33
2 15
2 15
1 15
0 15
0 1
1 1
1 1
1 1
0 1
0 30
0 30
0 30
1 30
0 30
0 33
1 33
1 33
1 33
1 33
2 33
1 15
1 15
1 15
0 15
0 1
1 1
2 1
1 1
0 1
0 11
0 11
0 11
0 30
0 30
0 7
0 33
0 33
0 33
0 33
1 33
0 15
0 15
0 15
0 1
1 1
2 1
1 1
0 1
0 11
1 11
1 11
1 11
0 11
0 7
0 7
0 7
0 7
0 7
0 7
0 33
0 45
0 45
0 45
0 45
0 1
1 1
0 1
0 1
0 11
1 11
2 11
1 11
0 11
0 7
1 7
1 7
1 7
1 7
0 7
0 7
1 45
1 45
1 45
1 45
0 45
0 1
0 17
0 17
0 11
0 11
1 11
1 11
0 11
0 7
0 7
1 7
2 7
1 7
0 7
0 7
1 45
1 45
1 45
1 45
0 45
0 17
1 17
1 17
0 17
0 17
0 11
0 11
0 2
0 2
0 2
0 7
1 7
0 7
0 49
0 49
1 45
1 45
1 45
1 45
0 45
0 17
1 17
1 17
1 17
0 17
0 11
0 2
1 2
1 2
1 2
0 2
0 7
0 49
1 49
1 49
0 45
0 45
0 45
1 45
0 45
0 17
0 17
0 17
0 17
0 17
0 2
1 2
2 2
2 2
1 2
0 2
0 49
1 49
2 49
2 49
0 40
0 40
0 40
0 45
0 45
0 39
0 39
0 39
0 39
0 39
0 2
1 2
1 2
1 2
1 2
0 2
0 49
1 49
2 49
3 49
1 40
1 40
1 40
0 40
0 40
0 39
1 39
1 39
1 39
1 39
0 39
0 2
0 2
0 2
0 2
0 44
0 49
1 49
2 49
3 49
2 40
2 40
2 40
1 40
0 40
0 39
1 39
1 39
1 39
1 39
0 39
0 44
0 44
0 44
0 44
0 44
0 49
1 49
2 49
3 49
3 40
3 40
2 40
1 40
0 40
0 39
0 39
0 39
0 39
0 39
0 39
0 44
1 44
1 44
1 44
1 44
0 44
0 49
1 49
2 49
2 40
2 40
2 40
2 40
1 40
0 40
0 21
0 21
0 21
0 21
0 44
1 44
1 44
1 44
1 44
1 44
0 44
0 49
0 49
1 49
1 40
1 40
1 40
1 40
0 40
0 21
1 21
1 21
1 21
1 21
0 21
0 44
0 44
0 44
0 44
0 44
0 13
0 13
0 13
0 49
0 40
0 40
0 40
0 40
0 21
1 21
1 21
1 21
1 21
1 21
1 21
0 21
0 44
0 44
0 44
0 13
0 13
0 13
0 32
0 32
0 22
0 22
0 22
0 22
0 22
0 21
1 21
1 21
1 21
1 21
0 21
0 21
0 27
0 27
0 13
0 13
0 13
0 13
0 32
1 32
0 22
0 22
0 22
0 22
0 22
0 21
1 21
1 21
1 21
0 21
0 47
0 47
0 47
0 27
0 13
0 13
0 13
0 32
1 32
2 32
0 22
0 22
0 22
0 22
0 22
0 21
1 21
1 21
0 21
0 47
1 47
1 47
0 47
0 27
0 13
0 13
0 13
0 32
1 32
2 32
2 15
2 15
2 15
1 15
0 15
0 1
0 1
0 1
0 30
0 30
1 30
1 30
1 30
0 30
0 33
1 33
2 33
3 33
4 33
4 33
2 15
2 15
1 15
0 15
0 1
0 1
0 1
0 1
0 1
0 30
0 30
1 30
1 30
0 30
0 33
1 33
2 33
3 33
3 33
4 33
1 15
1 15
1 15
0 15
0 1
0 1
0 1
0 1
0 1
0 30
0 30
0 30
1 30
0 30
0 33
1 33
2 33
2 33
2 33
3 33
0 15
0 15
0 15
0 15
0 1
1 1
1 1
0 1
0 11
0 11
0 11
0 11
0 30
0 30
0 33
1 33
1 33
1 33
1 33
2 33
0 15
0 15
0 15
0 1
1 1
1 1
1 1
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1900, 9.000000, 6.000000, 4.000000
1901, 10.000000, 6.000000, 4.000000
1902, 11.000000, 6.000000, 4.000000
1903, 12.000000, 6.000000, 4.000000
1904, 13.000000, 6.000000, 4.000000
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1907, 16.000000, 6.000000, 4.000000
1908, 17.000000, 6.000000, 4.000000
1909, 18.000000, 6.000000, 4.000000
1910, 19.000000, 6.000000, 4.000000
1911, 20.000000, 6.000000, 4.000000
1912, 0.000000, 7.000000, 4.000000
1913, 1.000000, 7.000000, 4.000000
1914, 2.000000, 7.000000, 4.000000
1915, 3.000000, 7.000000, 4.000000
1916, 4.000000, 7.000000, 4.000000
1917, 5.000000, 7.000000, 4.000000
1918, 6.000000, 7.000000, 4.000000
1919, 7.000000, 7.000000, 4.000000
1920, 8.000000, 7.000000, 4.000000
1921, 9.000000, 7.000000, 4.000000
1922, 10.000000, 7.000000, 4.000000
1923, 11.000000, 7.000000, 4.000000
1924, 12.000000, 7.000000, 4.000000
1925, 13.000000, 7.000000, 4.000000
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1927, 15.000000, 7.000000, 4.000000
1928, 16.000000, 7.000000, 4.000000
1929, 17.000000, 7.000000, 4.000000
1930, 18.000000, 7.000000, 4.000000
1931, 19.000000, 7.000000, 4.000000
1932, 20.000000, 7.000000, 4.000000
1933, 0.000000, 8.000000, 4.000000
1934, 1.000000, 8.000000, 4.000000
1935, 2.000000, 8.000000, 4.000000
1936, 3.000000, 8.000000, 4.000000
1937, 4.000000, 8.000000, 4.000000
1938, 5.000000, 8.000000, 4.000000
1939, 6.000000, 8.000000, 4.000000
1940, 7.000000, 8.000000, 4.000000
1941, 8.000000, 8.000000, 4.000000
1942, 9.000000, 8.000000, 4.000000
1943, 10.000000, 8.000000, 4.000000
1944, 11.000000, 8.000000, 4.000000
1945, 12.000000, 8.000000, 4.000000
1946, 13.000000, 8.000000, 4.000000
1947, 14.000000, 8.000000, 4.000000
1948, 15.000000, 8.000000, 4.000000
1949, 16.000000, 8.000000, 4.000000
1950, 17.000000, 8.000000, 4.000000
1951, 18.000000, 8.000000, 4.000000
1952, 19.000000, 8.000000, 4.000000
1953, 20.000000, 8.000000, 4.000000
1954, 0.000000, 9.000000, 4.000000
1955, 1.000000, 9.000000, 4.000000
1956, 2.000000, 9.000000, 4.000000
1957, 3.000000, 9.000000, 4.000000
1958, 4.000000, 9.000000, 4.000000
1959, 5.000000, 9.000000, 4.000000
1960, 6.000000, 9.000000, 4.000000
1961, 7.000000, 9.000000, 4.000000
1962, 8.000000, 9.000000, 4.000000
1963, 9.000000, 9.000000, 4.000000
1964, 10.000000, 9.000000, 4.000000
1965, 11.000000, 9.000000, 4.000000
1966, 12.000000, 9.000000, 4.000000
1967, 13.000000, 9.000000, 4.000000
1968, 14.000000, 9.000000, 4.000000
1969, 15.000000, 9.000000, 4.000000
1970, 16.000000, 9.000000, 4.000000
1971, 17.000000, 9.000000, 4.000000
1972, 18.000000, 9.000000, 4.000000
1973, 19.000000, 9.000000, 4.000000
1974, 20.000000, 9.000000, 4.000000
1975, 0.000000, 10.000000, 4.000000
1976, 1.000000, 10.000000, 4.000000
1977, 2.000000, 10.000000, 4.000000
1978, 3.000000, 10.000000, 4.000000
1979, 4.000000, 10.000000, 4.000000
1980, 5.000000, 10.000000, 4.000000
1981, 6.000000, 10.000000, 4.000000
1982, 7.000000, 10.000000, 4.000000
1983, 8.000000, 10.000000, 4.000000
1984, 9.000000, 10.000000, 4.000000
1985, 10.000000, 10.000000, 4.000000
1986, 11.000000, 10.000000, 4.000000
1987, 12.000000, 10.000000, 4.000000
1988, 13.000000, 10.000000, 4.000000
1989, 14.000000, 10.000000, 4.000000
1990, 15.000000, 10.000000, 4.000000
1991, 16.000000, 10.000000, 4.000000
1992, 17.000000, 10.000000, 4.000000
1993, 18.000000, 10.000000, 4.000000
1994, 19.000000, 10.000000, 4.000000
1995, 20.000000, 10.000000, 4.000000
1996, 0.000000, 11.000000, 4.000000
1997, 1.000000, 11.000000, 4.000000
1998, 2.000000, 11.000000, 4.000000
1999, 3.000000, 11.000000, 4.000000
2000, 4.000000, 11.000000, 4.000000
2001, 5.000000, 11.000000, 4.000000
2002, 6.000000, 11.000000, 4.000000
2003, 7.000000, 11.000000, 4.000000
2004, 8.000000, 11.000000, 4.000000
2005, 9.000000, 11.000000, 4.000000
2006, 10.000000, 11.000000, 4.000000
2007, 11.000000, 11.000000, 4.000000
2008, 12.000000, 11.000000, 4.000000
2009, 13.000000, 11.000000, 4.000000
2010, 14.000000, 11.000000, 4.000000
2011, 15.000000, 11.000000, 4.000000
2012, 16.000000, 11.000000, 4.000000
2013, 17.000000, 11.000000, 4.000000
2014, 18.000000, 11.000000, 4.000000
2015, 19.000000, 11.000000, 4.000000
2016, 20.000000, 11.000000, 4.000000
2017, 0.000000, 12.000000, 4.000000
2018, 1.000000, 12.000000, 4.000000
2019, 2.000000, 12.000000, 4.000000
2020, 3.000000, 12.000000, 4.000000
2021, 4.000000, 12.000000, 4.000000
2022, 5.000000, 12.000000, 4.000000
2023, 6.000000, 12.000000, 4.000000
2024, 7.000000, 12.000000, 4.000000
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2026, 9.000000, 12.000000, 4.000000
2027, 10.000000, 12.000000, 4.000000
2028, 11.000000, 12.000000, 4.000000
2029, 12.000000, 12.000000, 4.000000
2030, 13.000000, 12.000000, 4.000000
2031, 14.000000, 12.000000, 4.000000
2032, 15.000000, 12.000000, 4.000000
2033, 16.000000, 12.000000, 4.000000
2034, 17.000000, 12.000000, 4.000000
2035, 18.000000, 12.000000, 4.000000
2036, 19.000000, 12.000000, 4.000000
2037, 20.000000, 12.000000, 4.000000
2038, 0.000000, 13.000000, 4.000000
2039, 1.000000, 13.000000, 4.000000
2040, 2.000000, 13.000000, 4.000000
2041, 3.000000, 13.000000, 4.000000
2042, 4.000000, 13.000000, 4.000000
2043, 5.000000, 13.000000, 4.000000
2044, 6.000000, 13.000000, 4.000000
2045, 7.000000, 13.000000, 4.000000
2046, 8.000000, 13.000000, 4.000000
2047, 9.000000, 13.000000, 4.000000
2048, 10.000000, 13.000000, 4.000000
2049, 11.000000, 13.000000, 4.000000
2050, 12.000000, 13.000000, 4.000000
2051, 13.000000, 13.000000, 4.000000
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9184, 6.000000, 17.000000, 20.000000
9185, 7.000000, 17.000000, 20.000000
9186, 8.000000, 17.000000, 20.000000
9187, 9.000000, 17.000000, 20.000000
9188, 10.000000, 17.000000, 20.000000
9189, 11.000000, 17.000000, 20.000000
9190, 12.000000, 17.000000, 20.000000
9191, 13.000000, 17.000000, 20.000000
9192, 14.000000, 17.000000, 20.000000
9193, 15.000000, 17.000000, 20.000000
9194, 16.000000, 17.000000, 20.000000
9195, 17.000000, 17.000000, 20.000000
9196, 18.000000, 17.000000, 20.000000
9197, 19.000000, 17.000000, 20.000000
9198, 20.000000, 17.000000, 20.000000
9199, 0.000000, 18.000000, 20.000000
9200, 1.000000, 18.000000, 20.000000
9201, 2.000000, 18.000000, 20.000000
9202, 3.000000, 18.000000, 20.000000
9203, 4.000000, 18.000000, 20.000000
9204, 5.000000, 18.000000, 20.000000
9205, 6.000000, 18.000000, 20.000000
9206, 7.000000, 18.000000, 20.000000
9207, 8.000000, 18.000000, 20.000000
9208, 9.000000, 18.000000, 20.000000
9209, 10.000000, 18.000000, 20.000000
9210, 11.000000, 18.000000, 20.000000
9211, 12.000000, 18.000000, 20.000000
9212, 13.000000, 18.000000, 20.000000
9213, 14.000000, 18.000000, 20.000000
9214, 15.000000, 18.000000, 20.000000
9215, 16.000000, 18.000000, 20.000000
9216, 17.000000, 18.000000, 20.000000
9217, 18.000000, 18.000000, 20.000000
9218, 19.000000, 18.000000, 20.000000
9219, 20.000000, 18.000000, 20.000000
9220, 0.000000, 19.000000, 20.000000
9221, 1.000000, 19.000000, 20.000000
9222, 2.000000, 19.000000, 20.000000
9223, 3.000000, 19.000000, 20.000000
9224, 4.000000, 19.000000, 20.000000
9225, 5.000000, 19.000000, 20.000000
9226, 6.000000, 19.000000, 20.000000
9227, 7.000000, 19.000000, 20.000000
9228, 8.000000, 19.000000, 20.000000
9229, 9.000000, 19.000000, 20.000000
9230, 10.000000, 19.000000, 20.000000
9231, 11.000000, 19.000000, 20.000000
9232, 12.000000, 19.000000, 20.000000
9233, 13.000000, 19.000000, 20.000000
9234, 14.000000, 19.000000, 20.000000
9235, 15.000000, 19.000000, 20.000000
9236, 16.000000, 19.000000, 20.000000
9237, 17.000000, 19.000000, 20.000000
9238, 18.000000, 19.000000, 20.000000
9239, 19.000000, 19.000000, 20.000000
9240, 20.000000, 19.000000, 20.000000
9241, 0.000000, 20.000000, 20.000000
9242, 1.000000, 20.000000, 20.000000
9243, 2.000000, 20.000000, 20.000000
9244, 3.000000, 20.000000, 20.000000
9245, 4.000000, 20.000000, 20.000000
9246, 5.000000, 20.000000, 20.000000
9247, 6.000000, 20.000000, 20.000000
9248, 7.000000, 20.000000, 20.000000
9249, 8.000000, 20.000000, 20.000000
9250, 9.000000, 20.000000, 20.000000
9251, 10.000000, 20.000000, 20.000000
9252, 11.000000, 20.000000, 20.000000
9253, 12.000000, 20.000000, 20.000000
9254, 13.000000, 20.000000, 20.000000
9255, 14.000000, 20.000000, 20.000000
9256, 15.000000, 20.000000, 20.000000
9257, 16.000000, 20.000000, 20.000000
9258, 17.000000, 20.000000, 20.000000
9259, 18.000000, 20.000000, 20.000000
9260, 19.000000, 20.000000, 20.000000
9261, 20.000000, 20.000000, 20.000000
999999, 0.000000, 0.000000, 0.000000
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_sects.inp
================================================
** Generated by : ImportExport Version 6.5.163.1998a502a
** ----------------------------------------------------------------
**
** Each section is a separate grain
** Section: Grain1
*Solid Section, elset=Grain1_set, material=Grain_Mat1
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain2
*Solid Section, elset=Grain2_set, material=Grain_Mat2
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain3
*Solid Section, elset=Grain3_set, material=Grain_Mat3
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain4
*Solid Section, elset=Grain4_set, material=Grain_Mat4
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain5
*Solid Section, elset=Grain5_set, material=Grain_Mat5
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain6
*Solid Section, elset=Grain6_set, material=Grain_Mat6
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain7
*Solid Section, elset=Grain7_set, material=Grain_Mat7
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain8
*Solid Section, elset=Grain8_set, material=Grain_Mat8
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain9
*Solid Section, elset=Grain9_set, material=Grain_Mat9
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain10
*Solid Section, elset=Grain10_set, material=Grain_Mat10
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain11
*Solid Section, elset=Grain11_set, material=Grain_Mat11
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain12
*Solid Section, elset=Grain12_set, material=Grain_Mat12
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain13
*Solid Section, elset=Grain13_set, material=Grain_Mat13
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain14
*Solid Section, elset=Grain14_set, material=Grain_Mat14
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain15
*Solid Section, elset=Grain15_set, material=Grain_Mat15
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain16
*Solid Section, elset=Grain16_set, material=Grain_Mat16
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain17
*Solid Section, elset=Grain17_set, material=Grain_Mat17
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain18
*Solid Section, elset=Grain18_set, material=Grain_Mat18
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain19
*Solid Section, elset=Grain19_set, material=Grain_Mat19
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain20
*Solid Section, elset=Grain20_set, material=Grain_Mat20
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain21
*Solid Section, elset=Grain21_set, material=Grain_Mat21
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain22
*Solid Section, elset=Grain22_set, material=Grain_Mat22
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain23
*Solid Section, elset=Grain23_set, material=Grain_Mat23
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain24
*Solid Section, elset=Grain24_set, material=Grain_Mat24
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain25
*Solid Section, elset=Grain25_set, material=Grain_Mat25
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain26
*Solid Section, elset=Grain26_set, material=Grain_Mat26
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain27
*Solid Section, elset=Grain27_set, material=Grain_Mat27
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain28
*Solid Section, elset=Grain28_set, material=Grain_Mat28
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain29
*Solid Section, elset=Grain29_set, material=Grain_Mat29
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain30
*Solid Section, elset=Grain30_set, material=Grain_Mat30
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain31
*Solid Section, elset=Grain31_set, material=Grain_Mat31
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain32
*Solid Section, elset=Grain32_set, material=Grain_Mat32
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain33
*Solid Section, elset=Grain33_set, material=Grain_Mat33
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain34
*Solid Section, elset=Grain34_set, material=Grain_Mat34
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain35
*Solid Section, elset=Grain35_set, material=Grain_Mat35
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain36
*Solid Section, elset=Grain36_set, material=Grain_Mat36
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain37
*Solid Section, elset=Grain37_set, material=Grain_Mat37
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain38
*Solid Section, elset=Grain38_set, material=Grain_Mat38
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain39
*Solid Section, elset=Grain39_set, material=Grain_Mat39
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain40
*Solid Section, elset=Grain40_set, material=Grain_Mat40
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain41
*Solid Section, elset=Grain41_set, material=Grain_Mat41
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain42
*Solid Section, elset=Grain42_set, material=Grain_Mat42
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain43
*Solid Section, elset=Grain43_set, material=Grain_Mat43
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain44
*Solid Section, elset=Grain44_set, material=Grain_Mat44
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain45
*Solid Section, elset=Grain45_set, material=Grain_Mat45
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain46
*Solid Section, elset=Grain46_set, material=Grain_Mat46
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain47
*Solid Section, elset=Grain47_set, material=Grain_Mat47
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain48
*Solid Section, elset=Grain48_set, material=Grain_Mat48
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain49
*Solid Section, elset=Grain49_set, material=Grain_Mat49
*Hourglass Stiffness
250
** --------------------------------------
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/Dream3D2Abaqus.m
================================================
function Dream3D2Abaqus(filename,matID,noDepvar)
%% Input
% filename - name of the material parameter file
% Set material ID:
% - enter "0" to use Dream3D number output
% - enter "1-10" material ID number if user defined!
% Number of state variables
% Number of outputs
% noDepvar
% The name of the excel file:
% inputfile_info.xlsx
% --------------------------
% Convert the Dream3D outputs to Abaqus input file
% Designed for input structure of DBF_code - A UMAT subroutine for crystal
% plasticity
% Jan. 29th, 2022
% written by
% Eralp Demir
% eralp.demir@eng.ox.ac.uk
% --------------------------
tic
format shortg
fid = fopen([filename '.vox'],'r+');
rawData = textscan(fid, '%f %f %f %f %f %f %d %d','delimiter',' ');
fclose(fid);
% load euler angles, coordinates, grain and phase IDs
euler = cell2mat(rawData(1:3));
xyz = cell2mat(rawData(4:6));
grains = cell2mat(rawData(7));
phases = cell2mat(rawData(8));
clear max_value
clear total_els
%calculate the maximum value of elements and nodes
max_value=max(cell2mat(rawData(4)));
total_els=size(euler,1);
% Material-ID
materials = ones(total_els,1)*matID;
[grain_order, grain_record]=unique(grains);
grain_order=grain_order';
grain_record=grain_record';
phase_order=phases(grain_record);
material_order=materials(grain_record);
euler_angle1=euler(grain_record,1);
euler_angle2=euler(grain_record,2);
euler_angle3=euler(grain_record,3);
%
% %% Generate the rotation matrix
% for ii=1:length(grain_order)
% %%
% %need to create the rotation matrix for each euler angle for each
% %grain. This matrix is then used to rotate a global orientation to
% %the what is is n the local orientation.
% zrot=[cosd(euler_angle1(ii)), sind(euler_angle1(ii)), 0; -sind(euler_angle1(ii)), cosd(euler_angle1(ii)),0; 0,0,1];
% xrot=[1,0,0;0,cosd(euler_angle2(ii)),sind(euler_angle2(ii));0,-sind(euler_angle2(ii)),cosd(euler_angle2(ii))];
% zrot2=[cosd(euler_angle3(ii)),sind(euler_angle3(ii)),0;-sind(euler_angle3(ii)),cosd(euler_angle3(ii)),0;0,0,1];
%
% %total rotation matrix - crystal to sample transformation
% total_rot=transpose(zrot2*xrot*zrot);
%
%
%
% end
format long
% import node coordinates
fid = fopen([filename '_nodes.inp'],'r+');
indata = textscan(fid, '%d %f %f %f', 'HeaderLines',4,'delimiter',',');
fclose(fid);
% Dream3D output is in micrometers - NOT converted to mm
nodes = [double(indata{1,1}), indata{1,2} indata{1,3}, indata{1,4}];
nodes = nodes(1:end-1,:);
% import connectivity
fid = fopen([filename '_elems.inp'],'r+');
indata = textscan(fid, '%d %d %d %d %d %d %d %d %d', 'HeaderLines',4,'delimiter',',');
fclose(fid);
% Connectivity
elem = [indata{1,1}, indata{1,2}, indata{1,3}, indata{1,4}, indata{1,5}, indata{1,6}, indata{1,7}, indata{1,8}, indata{1,9}];
%% Write the overall element and node sets to input file
% open inp file and write keywords
inpFile = fopen([filename '.inp'],'wt');
fprintf(inpFile,'** Generated by Dream3D and modified by: Dream3D2Abaqus.m\n');
fprintf(inpFile,'**PARTS\n**\n');
fprintf(inpFile,'*Part, name=DREAM3D\n');
% write nodes
fprintf(inpFile,'*NODE\n');
fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',nodes');
% write elements
fprintf(inpFile,['*Element, type=C3D8\n']);
fprintf(inpFile,'%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d\n',elem');
%% Write the elements sets for each grain to the input file
% create element sets containing grains
for ii = 1:numel(unique(grains))
%%
fprintf(inpFile,'\n*Elset, elset=GRAIN-%d\n',grain_order(ii));
fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',elem(grains==grain_order(ii))');
numels=0;
for tt=1:length(elem(grains==grain_order(ii)))
%%
numels=numels+1;
end
numels_total(grain_order(ii))=numels;
end
%% Write element set for each phase to input file
uniPhases = unique(phases);
for ii = 1:numel(unique(phases))
fprintf(inpFile,'\n*Elset, elset=Phase-%d\n',ii);
fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',elem(phases==uniPhases(ii))');
end
% %% Calculate grain spherical equivalent diameter
% % calulate diamater in microns
% % additionally, the dimaters for each ground are written to a separate
% % text file to be used to developed a grain size histogram
% diameterID=fopen('diameter.txt','w');
% for ii=1:numel(unique(grains))
% %%
% diameter(grain_order(ii))=((((6.0/pi)*(numels_total(grain_order(ii))))^(1/3)));
% fprintf(diameterID, '%d\n', diameter(grain_order(ii)));
% end
% fclose(diameterID);
%% write sections to each grain
for ii=1:length(grain_order)
%%
fprintf(inpFile,'\n**Section: Section_Grain-%d\n*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n,\n',grain_order(ii),grain_order(ii),grain_order(ii));
end
%% Continue writing the input file with assembly information
% write a closing keyword
fprintf(inpFile,'*End Part');
%writing assembly
fprintf(inpFile,'\n**\n**ASSEMBLY\n**');
fprintf(inpFile,'\n*Assembly, name=Assembly\n**');
fprintf(inpFile,'\n*Instance, name=DREAM3D-1, part=DREAM3D\n');
% write nodes
fprintf(inpFile,'*NODE\n');
fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',nodes');
% write elements
fprintf(inpFile,'*Element, type=C3D8\n');
fprintf(inpFile,'%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d\n',elem');
fprintf(inpFile,'\n*End Instance\n**');
%% Closing the assembly component of the input file
fprintf(inpFile,'\n*End Assembly');
fprintf(inpFile, '\n**MATERIALS\n**');
%import material parameters to be used in the development of materials
%for each grain.
xlRange='A1:A6';
[A16]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange);
%% Finalising the input file
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
% Are the material properties given in the excel file?
% Read from excel file (if read_all_props==true)
if A16(6)==0
A = strings(6,1);
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
A(6)=0;
% Number variables in DEPVAR
noPROPS = 6;
% Do not define anything further
else
A = strings(300,1);
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
A(6)=1;
% Number variables in DEPVAR
% Has a fixed size - including additional space for extra variables
noPROPS = 300;
end
for ii=1:length(grain_order)
fprintf(inpFile, '\n*Material, name=MATERIAL-GRAIN%d',grain_order(ii));
fprintf(inpFile, ['\n*Depvar\n', num2str(noDepvar), ',']);
fprintf(inpFile, ['\n*User Material, constants=',num2str(noPROPS),'\n']);
% Euler angles
A(1:3) = [euler_angle1(ii), euler_angle2(ii), euler_angle3(ii)];
% Grain - ID
A(4) = grain_order(ii);
% Phase - ID
% IF DEFINED BY THE USER (>0)
if matID>0
A(5) = material_order(ii);
% Use Dream3D output
else
A(5) = phase_order(ii);
end
% % Adding the centroid information in x,y,z coordinates
% A(9:11)=centroid(grain_order(ii),:);
% % center element
% %adding the calculated equivalent spherical diameter for each grain
% A(13)=diameter(grain_order(ii));
% Read the properties from the PROPS if desired
if A16(6) ==1
% Loop through all different phases
for iph = 1:uniPhases
% Column character (read next column for each phase)
letter = char(iph+ 64);
xlRange = [letter,'1:', letter, '300']; % A1-A300
[B]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange);
% All parameters
A(7:300) = B(7:300);
end
end
% Printing this information to file
fprintf(inpFile, '%s, %s, %s, %s, %s, %s, %s, %s\n',A);
end
fprintf(inpFile,'\n**');
fprintf(inpFile, '\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.');
fprintf(inpFile, '\n**\n** OUTPUT REQUESTS\n**');
fprintf(inpFile, '\n*Restart, write, frequency=0\n**');
fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**');
if noDepvar>0
fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**');
end
fprintf(inpFile, '\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**');
fprintf(inpFile, '\n*End Step');
% close the file
fclose(inpFile);
toc
return
end
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase.inp
================================================
** Generated by Dream3D and modified by: Dream3D2Abaqus.m
**PARTS
**
*Part, name=DREAM3D
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 1.000000e+00, 0.000000e+00, 0.000000e+00
3, 2.000000e+00, 0.000000e+00, 0.000000e+00
4, 3.000000e+00, 0.000000e+00, 0.000000e+00
5, 4.000000e+00, 0.000000e+00, 0.000000e+00
6, 5.000000e+00, 0.000000e+00, 0.000000e+00
7, 6.000000e+00, 0.000000e+00, 0.000000e+00
8, 7.000000e+00, 0.000000e+00, 0.000000e+00
9, 8.000000e+00, 0.000000e+00, 0.000000e+00
10, 9.000000e+00, 0.000000e+00, 0.000000e+00
11, 1.000000e+01, 0.000000e+00, 0.000000e+00
12, 0.000000e+00, 1.000000e+00, 0.000000e+00
13, 1.000000e+00, 1.000000e+00, 0.000000e+00
14, 2.000000e+00, 1.000000e+00, 0.000000e+00
15, 3.000000e+00, 1.000000e+00, 0.000000e+00
16, 4.000000e+00, 1.000000e+00, 0.000000e+00
17, 5.000000e+00, 1.000000e+00, 0.000000e+00
18, 6.000000e+00, 1.000000e+00, 0.000000e+00
19, 7.000000e+00, 1.000000e+00, 0.000000e+00
20, 8.000000e+00, 1.000000e+00, 0.000000e+00
21, 9.000000e+00, 1.000000e+00, 0.000000e+00
22, 1.000000e+01, 1.000000e+00, 0.000000e+00
23, 0.000000e+00, 2.000000e+00, 0.000000e+00
24, 1.000000e+00, 2.000000e+00, 0.000000e+00
25, 2.000000e+00, 2.000000e+00, 0.000000e+00
26, 3.000000e+00, 2.000000e+00, 0.000000e+00
27, 4.000000e+00, 2.000000e+00, 0.000000e+00
28, 5.000000e+00, 2.000000e+00, 0.000000e+00
29, 6.000000e+00, 2.000000e+00, 0.000000e+00
30, 7.000000e+00, 2.000000e+00, 0.000000e+00
31, 8.000000e+00, 2.000000e+00, 0.000000e+00
32, 9.000000e+00, 2.000000e+00, 0.000000e+00
33, 1.000000e+01, 2.000000e+00, 0.000000e+00
34, 0.000000e+00, 3.000000e+00, 0.000000e+00
35, 1.000000e+00, 3.000000e+00, 0.000000e+00
36, 2.000000e+00, 3.000000e+00, 0.000000e+00
37, 3.000000e+00, 3.000000e+00, 0.000000e+00
38, 4.000000e+00, 3.000000e+00, 0.000000e+00
39, 5.000000e+00, 3.000000e+00, 0.000000e+00
40, 6.000000e+00, 3.000000e+00, 0.000000e+00
41, 7.000000e+00, 3.000000e+00, 0.000000e+00
42, 8.000000e+00, 3.000000e+00, 0.000000e+00
43, 9.000000e+00, 3.000000e+00, 0.000000e+00
44, 1.000000e+01, 3.000000e+00, 0.000000e+00
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1053, 7.000000e+00, 7.000000e+00, 8.000000e+00
1054, 8.000000e+00, 7.000000e+00, 8.000000e+00
1055, 9.000000e+00, 7.000000e+00, 8.000000e+00
1056, 1.000000e+01, 7.000000e+00, 8.000000e+00
1057, 0.000000e+00, 8.000000e+00, 8.000000e+00
1058, 1.000000e+00, 8.000000e+00, 8.000000e+00
1059, 2.000000e+00, 8.000000e+00, 8.000000e+00
1060, 3.000000e+00, 8.000000e+00, 8.000000e+00
1061, 4.000000e+00, 8.000000e+00, 8.000000e+00
1062, 5.000000e+00, 8.000000e+00, 8.000000e+00
1063, 6.000000e+00, 8.000000e+00, 8.000000e+00
1064, 7.000000e+00, 8.000000e+00, 8.000000e+00
1065, 8.000000e+00, 8.000000e+00, 8.000000e+00
1066, 9.000000e+00, 8.000000e+00, 8.000000e+00
1067, 1.000000e+01, 8.000000e+00, 8.000000e+00
1068, 0.000000e+00, 9.000000e+00, 8.000000e+00
1069, 1.000000e+00, 9.000000e+00, 8.000000e+00
1070, 2.000000e+00, 9.000000e+00, 8.000000e+00
1071, 3.000000e+00, 9.000000e+00, 8.000000e+00
1072, 4.000000e+00, 9.000000e+00, 8.000000e+00
1073, 5.000000e+00, 9.000000e+00, 8.000000e+00
1074, 6.000000e+00, 9.000000e+00, 8.000000e+00
1075, 7.000000e+00, 9.000000e+00, 8.000000e+00
1076, 8.000000e+00, 9.000000e+00, 8.000000e+00
1077, 9.000000e+00, 9.000000e+00, 8.000000e+00
1078, 1.000000e+01, 9.000000e+00, 8.000000e+00
1079, 0.000000e+00, 1.000000e+01, 8.000000e+00
1080, 1.000000e+00, 1.000000e+01, 8.000000e+00
1081, 2.000000e+00, 1.000000e+01, 8.000000e+00
1082, 3.000000e+00, 1.000000e+01, 8.000000e+00
1083, 4.000000e+00, 1.000000e+01, 8.000000e+00
1084, 5.000000e+00, 1.000000e+01, 8.000000e+00
1085, 6.000000e+00, 1.000000e+01, 8.000000e+00
1086, 7.000000e+00, 1.000000e+01, 8.000000e+00
1087, 8.000000e+00, 1.000000e+01, 8.000000e+00
1088, 9.000000e+00, 1.000000e+01, 8.000000e+00
1089, 1.000000e+01, 1.000000e+01, 8.000000e+00
1090, 0.000000e+00, 0.000000e+00, 9.000000e+00
1091, 1.000000e+00, 0.000000e+00, 9.000000e+00
1092, 2.000000e+00, 0.000000e+00, 9.000000e+00
1093, 3.000000e+00, 0.000000e+00, 9.000000e+00
1094, 4.000000e+00, 0.000000e+00, 9.000000e+00
1095, 5.000000e+00, 0.000000e+00, 9.000000e+00
1096, 6.000000e+00, 0.000000e+00, 9.000000e+00
1097, 7.000000e+00, 0.000000e+00, 9.000000e+00
1098, 8.000000e+00, 0.000000e+00, 9.000000e+00
1099, 9.000000e+00, 0.000000e+00, 9.000000e+00
1100, 1.000000e+01, 0.000000e+00, 9.000000e+00
1101, 0.000000e+00, 1.000000e+00, 9.000000e+00
1102, 1.000000e+00, 1.000000e+00, 9.000000e+00
1103, 2.000000e+00, 1.000000e+00, 9.000000e+00
1104, 3.000000e+00, 1.000000e+00, 9.000000e+00
1105, 4.000000e+00, 1.000000e+00, 9.000000e+00
1106, 5.000000e+00, 1.000000e+00, 9.000000e+00
1107, 6.000000e+00, 1.000000e+00, 9.000000e+00
1108, 7.000000e+00, 1.000000e+00, 9.000000e+00
1109, 8.000000e+00, 1.000000e+00, 9.000000e+00
1110, 9.000000e+00, 1.000000e+00, 9.000000e+00
1111, 1.000000e+01, 1.000000e+00, 9.000000e+00
1112, 0.000000e+00, 2.000000e+00, 9.000000e+00
1113, 1.000000e+00, 2.000000e+00, 9.000000e+00
1114, 2.000000e+00, 2.000000e+00, 9.000000e+00
1115, 3.000000e+00, 2.000000e+00, 9.000000e+00
1116, 4.000000e+00, 2.000000e+00, 9.000000e+00
1117, 5.000000e+00, 2.000000e+00, 9.000000e+00
1118, 6.000000e+00, 2.000000e+00, 9.000000e+00
1119, 7.000000e+00, 2.000000e+00, 9.000000e+00
1120, 8.000000e+00, 2.000000e+00, 9.000000e+00
1121, 9.000000e+00, 2.000000e+00, 9.000000e+00
1122, 1.000000e+01, 2.000000e+00, 9.000000e+00
1123, 0.000000e+00, 3.000000e+00, 9.000000e+00
1124, 1.000000e+00, 3.000000e+00, 9.000000e+00
1125, 2.000000e+00, 3.000000e+00, 9.000000e+00
1126, 3.000000e+00, 3.000000e+00, 9.000000e+00
1127, 4.000000e+00, 3.000000e+00, 9.000000e+00
1128, 5.000000e+00, 3.000000e+00, 9.000000e+00
1129, 6.000000e+00, 3.000000e+00, 9.000000e+00
1130, 7.000000e+00, 3.000000e+00, 9.000000e+00
1131, 8.000000e+00, 3.000000e+00, 9.000000e+00
1132, 9.000000e+00, 3.000000e+00, 9.000000e+00
1133, 1.000000e+01, 3.000000e+00, 9.000000e+00
1134, 0.000000e+00, 4.000000e+00, 9.000000e+00
1135, 1.000000e+00, 4.000000e+00, 9.000000e+00
1136, 2.000000e+00, 4.000000e+00, 9.000000e+00
1137, 3.000000e+00, 4.000000e+00, 9.000000e+00
1138, 4.000000e+00, 4.000000e+00, 9.000000e+00
1139, 5.000000e+00, 4.000000e+00, 9.000000e+00
1140, 6.000000e+00, 4.000000e+00, 9.000000e+00
1141, 7.000000e+00, 4.000000e+00, 9.000000e+00
1142, 8.000000e+00, 4.000000e+00, 9.000000e+00
1143, 9.000000e+00, 4.000000e+00, 9.000000e+00
1144, 1.000000e+01, 4.000000e+00, 9.000000e+00
1145, 0.000000e+00, 5.000000e+00, 9.000000e+00
1146, 1.000000e+00, 5.000000e+00, 9.000000e+00
1147, 2.000000e+00, 5.000000e+00, 9.000000e+00
1148, 3.000000e+00, 5.000000e+00, 9.000000e+00
1149, 4.000000e+00, 5.000000e+00, 9.000000e+00
1150, 5.000000e+00, 5.000000e+00, 9.000000e+00
1151, 6.000000e+00, 5.000000e+00, 9.000000e+00
1152, 7.000000e+00, 5.000000e+00, 9.000000e+00
1153, 8.000000e+00, 5.000000e+00, 9.000000e+00
1154, 9.000000e+00, 5.000000e+00, 9.000000e+00
1155, 1.000000e+01, 5.000000e+00, 9.000000e+00
1156, 0.000000e+00, 6.000000e+00, 9.000000e+00
1157, 1.000000e+00, 6.000000e+00, 9.000000e+00
1158, 2.000000e+00, 6.000000e+00, 9.000000e+00
1159, 3.000000e+00, 6.000000e+00, 9.000000e+00
1160, 4.000000e+00, 6.000000e+00, 9.000000e+00
1161, 5.000000e+00, 6.000000e+00, 9.000000e+00
1162, 6.000000e+00, 6.000000e+00, 9.000000e+00
1163, 7.000000e+00, 6.000000e+00, 9.000000e+00
1164, 8.000000e+00, 6.000000e+00, 9.000000e+00
1165, 9.000000e+00, 6.000000e+00, 9.000000e+00
1166, 1.000000e+01, 6.000000e+00, 9.000000e+00
1167, 0.000000e+00, 7.000000e+00, 9.000000e+00
1168, 1.000000e+00, 7.000000e+00, 9.000000e+00
1169, 2.000000e+00, 7.000000e+00, 9.000000e+00
1170, 3.000000e+00, 7.000000e+00, 9.000000e+00
1171, 4.000000e+00, 7.000000e+00, 9.000000e+00
1172, 5.000000e+00, 7.000000e+00, 9.000000e+00
1173, 6.000000e+00, 7.000000e+00, 9.000000e+00
1174, 7.000000e+00, 7.000000e+00, 9.000000e+00
1175, 8.000000e+00, 7.000000e+00, 9.000000e+00
1176, 9.000000e+00, 7.000000e+00, 9.000000e+00
1177, 1.000000e+01, 7.000000e+00, 9.000000e+00
1178, 0.000000e+00, 8.000000e+00, 9.000000e+00
1179, 1.000000e+00, 8.000000e+00, 9.000000e+00
1180, 2.000000e+00, 8.000000e+00, 9.000000e+00
1181, 3.000000e+00, 8.000000e+00, 9.000000e+00
1182, 4.000000e+00, 8.000000e+00, 9.000000e+00
1183, 5.000000e+00, 8.000000e+00, 9.000000e+00
1184, 6.000000e+00, 8.000000e+00, 9.000000e+00
1185, 7.000000e+00, 8.000000e+00, 9.000000e+00
1186, 8.000000e+00, 8.000000e+00, 9.000000e+00
1187, 9.000000e+00, 8.000000e+00, 9.000000e+00
1188, 1.000000e+01, 8.000000e+00, 9.000000e+00
1189, 0.000000e+00, 9.000000e+00, 9.000000e+00
1190, 1.000000e+00, 9.000000e+00, 9.000000e+00
1191, 2.000000e+00, 9.000000e+00, 9.000000e+00
1192, 3.000000e+00, 9.000000e+00, 9.000000e+00
1193, 4.000000e+00, 9.000000e+00, 9.000000e+00
1194, 5.000000e+00, 9.000000e+00, 9.000000e+00
1195, 6.000000e+00, 9.000000e+00, 9.000000e+00
1196, 7.000000e+00, 9.000000e+00, 9.000000e+00
1197, 8.000000e+00, 9.000000e+00, 9.000000e+00
1198, 9.000000e+00, 9.000000e+00, 9.000000e+00
1199, 1.000000e+01, 9.000000e+00, 9.000000e+00
1200, 0.000000e+00, 1.000000e+01, 9.000000e+00
1201, 1.000000e+00, 1.000000e+01, 9.000000e+00
1202, 2.000000e+00, 1.000000e+01, 9.000000e+00
1203, 3.000000e+00, 1.000000e+01, 9.000000e+00
1204, 4.000000e+00, 1.000000e+01, 9.000000e+00
1205, 5.000000e+00, 1.000000e+01, 9.000000e+00
1206, 6.000000e+00, 1.000000e+01, 9.000000e+00
1207, 7.000000e+00, 1.000000e+01, 9.000000e+00
1208, 8.000000e+00, 1.000000e+01, 9.000000e+00
1209, 9.000000e+00, 1.000000e+01, 9.000000e+00
1210, 1.000000e+01, 1.000000e+01, 9.000000e+00
1211, 0.000000e+00, 0.000000e+00, 1.000000e+01
1212, 1.000000e+00, 0.000000e+00, 1.000000e+01
1213, 2.000000e+00, 0.000000e+00, 1.000000e+01
1214, 3.000000e+00, 0.000000e+00, 1.000000e+01
1215, 4.000000e+00, 0.000000e+00, 1.000000e+01
1216, 5.000000e+00, 0.000000e+00, 1.000000e+01
1217, 6.000000e+00, 0.000000e+00, 1.000000e+01
1218, 7.000000e+00, 0.000000e+00, 1.000000e+01
1219, 8.000000e+00, 0.000000e+00, 1.000000e+01
1220, 9.000000e+00, 0.000000e+00, 1.000000e+01
1221, 1.000000e+01, 0.000000e+00, 1.000000e+01
1222, 0.000000e+00, 1.000000e+00, 1.000000e+01
1223, 1.000000e+00, 1.000000e+00, 1.000000e+01
1224, 2.000000e+00, 1.000000e+00, 1.000000e+01
1225, 3.000000e+00, 1.000000e+00, 1.000000e+01
1226, 4.000000e+00, 1.000000e+00, 1.000000e+01
1227, 5.000000e+00, 1.000000e+00, 1.000000e+01
1228, 6.000000e+00, 1.000000e+00, 1.000000e+01
1229, 7.000000e+00, 1.000000e+00, 1.000000e+01
1230, 8.000000e+00, 1.000000e+00, 1.000000e+01
1231, 9.000000e+00, 1.000000e+00, 1.000000e+01
1232, 1.000000e+01, 1.000000e+00, 1.000000e+01
1233, 0.000000e+00, 2.000000e+00, 1.000000e+01
1234, 1.000000e+00, 2.000000e+00, 1.000000e+01
1235, 2.000000e+00, 2.000000e+00, 1.000000e+01
1236, 3.000000e+00, 2.000000e+00, 1.000000e+01
1237, 4.000000e+00, 2.000000e+00, 1.000000e+01
1238, 5.000000e+00, 2.000000e+00, 1.000000e+01
1239, 6.000000e+00, 2.000000e+00, 1.000000e+01
1240, 7.000000e+00, 2.000000e+00, 1.000000e+01
1241, 8.000000e+00, 2.000000e+00, 1.000000e+01
1242, 9.000000e+00, 2.000000e+00, 1.000000e+01
1243, 1.000000e+01, 2.000000e+00, 1.000000e+01
1244, 0.000000e+00, 3.000000e+00, 1.000000e+01
1245, 1.000000e+00, 3.000000e+00, 1.000000e+01
1246, 2.000000e+00, 3.000000e+00, 1.000000e+01
1247, 3.000000e+00, 3.000000e+00, 1.000000e+01
1248, 4.000000e+00, 3.000000e+00, 1.000000e+01
1249, 5.000000e+00, 3.000000e+00, 1.000000e+01
1250, 6.000000e+00, 3.000000e+00, 1.000000e+01
1251, 7.000000e+00, 3.000000e+00, 1.000000e+01
1252, 8.000000e+00, 3.000000e+00, 1.000000e+01
1253, 9.000000e+00, 3.000000e+00, 1.000000e+01
1254, 1.000000e+01, 3.000000e+00, 1.000000e+01
1255, 0.000000e+00, 4.000000e+00, 1.000000e+01
1256, 1.000000e+00, 4.000000e+00, 1.000000e+01
1257, 2.000000e+00, 4.000000e+00, 1.000000e+01
1258, 3.000000e+00, 4.000000e+00, 1.000000e+01
1259, 4.000000e+00, 4.000000e+00, 1.000000e+01
1260, 5.000000e+00, 4.000000e+00, 1.000000e+01
1261, 6.000000e+00, 4.000000e+00, 1.000000e+01
1262, 7.000000e+00, 4.000000e+00, 1.000000e+01
1263, 8.000000e+00, 4.000000e+00, 1.000000e+01
1264, 9.000000e+00, 4.000000e+00, 1.000000e+01
1265, 1.000000e+01, 4.000000e+00, 1.000000e+01
1266, 0.000000e+00, 5.000000e+00, 1.000000e+01
1267, 1.000000e+00, 5.000000e+00, 1.000000e+01
1268, 2.000000e+00, 5.000000e+00, 1.000000e+01
1269, 3.000000e+00, 5.000000e+00, 1.000000e+01
1270, 4.000000e+00, 5.000000e+00, 1.000000e+01
1271, 5.000000e+00, 5.000000e+00, 1.000000e+01
1272, 6.000000e+00, 5.000000e+00, 1.000000e+01
1273, 7.000000e+00, 5.000000e+00, 1.000000e+01
1274, 8.000000e+00, 5.000000e+00, 1.000000e+01
1275, 9.000000e+00, 5.000000e+00, 1.000000e+01
1276, 1.000000e+01, 5.000000e+00, 1.000000e+01
1277, 0.000000e+00, 6.000000e+00, 1.000000e+01
1278, 1.000000e+00, 6.000000e+00, 1.000000e+01
1279, 2.000000e+00, 6.000000e+00, 1.000000e+01
1280, 3.000000e+00, 6.000000e+00, 1.000000e+01
1281, 4.000000e+00, 6.000000e+00, 1.000000e+01
1282, 5.000000e+00, 6.000000e+00, 1.000000e+01
1283, 6.000000e+00, 6.000000e+00, 1.000000e+01
1284, 7.000000e+00, 6.000000e+00, 1.000000e+01
1285, 8.000000e+00, 6.000000e+00, 1.000000e+01
1286, 9.000000e+00, 6.000000e+00, 1.000000e+01
1287, 1.000000e+01, 6.000000e+00, 1.000000e+01
1288, 0.000000e+00, 7.000000e+00, 1.000000e+01
1289, 1.000000e+00, 7.000000e+00, 1.000000e+01
1290, 2.000000e+00, 7.000000e+00, 1.000000e+01
1291, 3.000000e+00, 7.000000e+00, 1.000000e+01
1292, 4.000000e+00, 7.000000e+00, 1.000000e+01
1293, 5.000000e+00, 7.000000e+00, 1.000000e+01
1294, 6.000000e+00, 7.000000e+00, 1.000000e+01
1295, 7.000000e+00, 7.000000e+00, 1.000000e+01
1296, 8.000000e+00, 7.000000e+00, 1.000000e+01
1297, 9.000000e+00, 7.000000e+00, 1.000000e+01
1298, 1.000000e+01, 7.000000e+00, 1.000000e+01
1299, 0.000000e+00, 8.000000e+00, 1.000000e+01
1300, 1.000000e+00, 8.000000e+00, 1.000000e+01
1301, 2.000000e+00, 8.000000e+00, 1.000000e+01
1302, 3.000000e+00, 8.000000e+00, 1.000000e+01
1303, 4.000000e+00, 8.000000e+00, 1.000000e+01
1304, 5.000000e+00, 8.000000e+00, 1.000000e+01
1305, 6.000000e+00, 8.000000e+00, 1.000000e+01
1306, 7.000000e+00, 8.000000e+00, 1.000000e+01
1307, 8.000000e+00, 8.000000e+00, 1.000000e+01
1308, 9.000000e+00, 8.000000e+00, 1.000000e+01
1309, 1.000000e+01, 8.000000e+00, 1.000000e+01
1310, 0.000000e+00, 9.000000e+00, 1.000000e+01
1311, 1.000000e+00, 9.000000e+00, 1.000000e+01
1312, 2.000000e+00, 9.000000e+00, 1.000000e+01
1313, 3.000000e+00, 9.000000e+00, 1.000000e+01
1314, 4.000000e+00, 9.000000e+00, 1.000000e+01
1315, 5.000000e+00, 9.000000e+00, 1.000000e+01
1316, 6.000000e+00, 9.000000e+00, 1.000000e+01
1317, 7.000000e+00, 9.000000e+00, 1.000000e+01
1318, 8.000000e+00, 9.000000e+00, 1.000000e+01
1319, 9.000000e+00, 9.000000e+00, 1.000000e+01
1320, 1.000000e+01, 9.000000e+00, 1.000000e+01
1321, 0.000000e+00, 1.000000e+01, 1.000000e+01
1322, 1.000000e+00, 1.000000e+01, 1.000000e+01
1323, 2.000000e+00, 1.000000e+01, 1.000000e+01
1324, 3.000000e+00, 1.000000e+01, 1.000000e+01
1325, 4.000000e+00, 1.000000e+01, 1.000000e+01
1326, 5.000000e+00, 1.000000e+01, 1.000000e+01
1327, 6.000000e+00, 1.000000e+01, 1.000000e+01
1328, 7.000000e+00, 1.000000e+01, 1.000000e+01
1329, 8.000000e+00, 1.000000e+01, 1.000000e+01
1330, 9.000000e+00, 1.000000e+01, 1.000000e+01
1331, 1.000000e+01, 1.000000e+01, 1.000000e+01
*Element, type=C3D8
1, 123, 2, 1, 122, 134, 13, 12, 133
2, 124, 3, 2, 123, 135, 14, 13, 134
3, 125, 4, 3, 124, 136, 15, 14, 135
4, 126, 5, 4, 125, 137, 16, 15, 136
5, 127, 6, 5, 126, 138, 17, 16, 137
6, 128, 7, 6, 127, 139, 18, 17, 138
7, 129, 8, 7, 128, 140, 19, 18, 139
8, 130, 9, 8, 129, 141, 20, 19, 140
9, 131, 10, 9, 130, 142, 21, 20, 141
10, 132, 11, 10, 131, 143, 22, 21, 142
11, 134, 13, 12, 133, 145, 24, 23, 144
12, 135, 14, 13, 134, 146, 25, 24, 145
13, 136, 15, 14, 135, 147, 26, 25, 146
14, 137, 16, 15, 136, 148, 27, 26, 147
15, 138, 17, 16, 137, 149, 28, 27, 148
16, 139, 18, 17, 138, 150, 29, 28, 149
17, 140, 19, 18, 139, 151, 30, 29, 150
18, 141, 20, 19, 140, 152, 31, 30, 151
19, 142, 21, 20, 141, 153, 32, 31, 152
20, 143, 22, 21, 142, 154, 33, 32, 153
21, 145, 24, 23, 144, 156, 35, 34, 155
22, 146, 25, 24, 145, 157, 36, 35, 156
23, 147, 26, 25, 146, 158, 37, 36, 157
24, 148, 27, 26, 147, 159, 38, 37, 158
25, 149, 28, 27, 148, 160, 39, 38, 159
26, 150, 29, 28, 149, 161, 40, 39, 160
27, 151, 30, 29, 150, 162, 41, 40, 161
28, 152, 31, 30, 151, 163, 42, 41, 162
29, 153, 32, 31, 152, 164, 43, 42, 163
30, 154, 33, 32, 153, 165, 44, 43, 164
31, 156, 35, 34, 155, 167, 46, 45, 166
32, 157, 36, 35, 156, 168, 47, 46, 167
33, 158, 37, 36, 157, 169, 48, 47, 168
34, 159, 38, 37, 158, 170, 49, 48, 169
35, 160, 39, 38, 159, 171, 50, 49, 170
36, 161, 40, 39, 160, 172, 51, 50, 171
37, 162, 41, 40, 161, 173, 52, 51, 172
38, 163, 42, 41, 162, 174, 53, 52, 173
39, 164, 43, 42, 163, 175, 54, 53, 174
40, 165, 44, 43, 164, 176, 55, 54, 175
41, 167, 46, 45, 166, 178, 57, 56, 177
42, 168, 47, 46, 167, 179, 58, 57, 178
43, 169, 48, 47, 168, 180, 59, 58, 179
44, 170, 49, 48, 169, 181, 60, 59, 180
45, 171, 50, 49, 170, 182, 61, 60, 181
46, 172, 51, 50, 171, 183, 62, 61, 182
47, 173, 52, 51, 172, 184, 63, 62, 183
48, 174, 53, 52, 173, 185, 64, 63, 184
49, 175, 54, 53, 174, 186, 65, 64, 185
50, 176, 55, 54, 175, 187, 66, 65, 186
51, 178, 57, 56, 177, 189, 68, 67, 188
52, 179, 58, 57, 178, 190, 69, 68, 189
53, 180, 59, 58, 179, 191, 70, 69, 190
54, 181, 60, 59, 180, 192, 71, 70, 191
55, 182, 61, 60, 181, 193, 72, 71, 192
56, 183, 62, 61, 182, 194, 73, 72, 193
57, 184, 63, 62, 183, 195, 74, 73, 194
58, 185, 64, 63, 184, 196, 75, 74, 195
59, 186, 65, 64, 185, 197, 76, 75, 196
60, 187, 66, 65, 186, 198, 77, 76, 197
61, 189, 68, 67, 188, 200, 79, 78, 199
62, 190, 69, 68, 189, 201, 80, 79, 200
63, 191, 70, 69, 190, 202, 81, 80, 201
64, 192, 71, 70, 191, 203, 82, 81, 202
65, 193, 72, 71, 192, 204, 83, 82, 203
66, 194, 73, 72, 193, 205, 84, 83, 204
67, 195, 74, 73, 194, 206, 85, 84, 205
68, 196, 75, 74, 195, 207, 86, 85, 206
69, 197, 76, 75, 196, 208, 87, 86, 207
70, 198, 77, 76, 197, 209, 88, 87, 208
71, 200, 79, 78, 199, 211, 90, 89, 210
72, 201, 80, 79, 200, 212, 91, 90, 211
73, 202, 81, 80, 201, 213, 92, 91, 212
74, 203, 82, 81, 202, 214, 93, 92, 213
75, 204, 83, 82, 203, 215, 94, 93, 214
76, 205, 84, 83, 204, 216, 95, 94, 215
77, 206, 85, 84, 205, 217, 96, 95, 216
78, 207, 86, 85, 206, 218, 97, 96, 217
79, 208, 87, 86, 207, 219, 98, 97, 218
80, 209, 88, 87, 208, 220, 99, 98, 219
81, 211, 90, 89, 210, 222, 101, 100, 221
82, 212, 91, 90, 211, 223, 102, 101, 222
83, 213, 92, 91, 212, 224, 103, 102, 223
84, 214, 93, 92, 213, 225, 104, 103, 224
85, 215, 94, 93, 214, 226, 105, 104, 225
86, 216, 95, 94, 215, 227, 106, 105, 226
87, 217, 96, 95, 216, 228, 107, 106, 227
88, 218, 97, 96, 217, 229, 108, 107, 228
89, 219, 98, 97, 218, 230, 109, 108, 229
90, 220, 99, 98, 219, 231, 110, 109, 230
91, 222, 101, 100, 221, 233, 112, 111, 232
92, 223, 102, 101, 222, 234, 113, 112, 233
93, 224, 103, 102, 223, 235, 114, 113, 234
94, 225, 104, 103, 224, 236, 115, 114, 235
95, 226, 105, 104, 225, 237, 116, 115, 236
96, 227, 106, 105, 226, 238, 117, 116, 237
97, 228, 107, 106, 227, 239, 118, 117, 238
98, 229, 108, 107, 228, 240, 119, 118, 239
99, 230, 109, 108, 229, 241, 120, 119, 240
100, 231, 110, 109, 230, 242, 121, 120, 241
101, 244, 123, 122, 243, 255, 134, 133, 254
102, 245, 124, 123, 244, 256, 135, 134, 255
103, 246, 125, 124, 245, 257, 136, 135, 256
104, 247, 126, 125, 246, 258, 137, 136, 257
105, 248, 127, 126, 247, 259, 138, 137, 258
106, 249, 128, 127, 248, 260, 139, 138, 259
107, 250, 129, 128, 249, 261, 140, 139, 260
108, 251, 130, 129, 250, 262, 141, 140, 261
109, 252, 131, 130, 251, 263, 142, 141, 262
110, 253, 132, 131, 252, 264, 143, 142, 263
111, 255, 134, 133, 254, 266, 145, 144, 265
112, 256, 135, 134, 255, 267, 146, 145, 266
113, 257, 136, 135, 256, 268, 147, 146, 267
114, 258, 137, 136, 257, 269, 148, 147, 268
115, 259, 138, 137, 258, 270, 149, 148, 269
116, 260, 139, 138, 259, 271, 150, 149, 270
117, 261, 140, 139, 260, 272, 151, 150, 271
118, 262, 141, 140, 261, 273, 152, 151, 272
119, 263, 142, 141, 262, 274, 153, 152, 273
120, 264, 143, 142, 263, 275, 154, 153, 274
121, 266, 145, 144, 265, 277, 156, 155, 276
122, 267, 146, 145, 266, 278, 157, 156, 277
123, 268, 147, 146, 267, 279, 158, 157, 278
124, 269, 148, 147, 268, 280, 159, 158, 279
125, 270, 149, 148, 269, 281, 160, 159, 280
126, 271, 150, 149, 270, 282, 161, 160, 281
127, 272, 151, 150, 271, 283, 162, 161, 282
128, 273, 152, 151, 272, 284, 163, 162, 283
129, 274, 153, 152, 273, 285, 164, 163, 284
130, 275, 154, 153, 274, 286, 165, 164, 285
131, 277, 156, 155, 276, 288, 167, 166, 287
132, 278, 157, 156, 277, 289, 168, 167, 288
133, 279, 158, 157, 278, 290, 169, 168, 289
134, 280, 159, 158, 279, 291, 170, 169, 290
135, 281, 160, 159, 280, 292, 171, 170, 291
136, 282, 161, 160, 281, 293, 172, 171, 292
137, 283, 162, 161, 282, 294, 173, 172, 293
138, 284, 163, 162, 283, 295, 174, 173, 294
139, 285, 164, 163, 284, 296, 175, 174, 295
140, 286, 165, 164, 285, 297, 176, 175, 296
141, 288, 167, 166, 287, 299, 178, 177, 298
142, 289, 168, 167, 288, 300, 179, 178, 299
143, 290, 169, 168, 289, 301, 180, 179, 300
144, 291, 170, 169, 290, 302, 181, 180, 301
145, 292, 171, 170, 291, 303, 182, 181, 302
146, 293, 172, 171, 292, 304, 183, 182, 303
147, 294, 173, 172, 293, 305, 184, 183, 304
148, 295, 174, 173, 294, 306, 185, 184, 305
149, 296, 175, 174, 295, 307, 186, 185, 306
150, 297, 176, 175, 296, 308, 187, 186, 307
151, 299, 178, 177, 298, 310, 189, 188, 309
152, 300, 179, 178, 299, 311, 190, 189, 310
153, 301, 180, 179, 300, 312, 191, 190, 311
154, 302, 181, 180, 301, 313, 192, 191, 312
155, 303, 182, 181, 302, 314, 193, 192, 313
156, 304, 183, 182, 303, 315, 194, 193, 314
157, 305, 184, 183, 304, 316, 195, 194, 315
158, 306, 185, 184, 305, 317, 196, 195, 316
159, 307, 186, 185, 306, 318, 197, 196, 317
160, 308, 187, 186, 307, 319, 198, 197, 318
161, 310, 189, 188, 309, 321, 200, 199, 320
162, 311, 190, 189, 310, 322, 201, 200, 321
163, 312, 191, 190, 311, 323, 202, 201, 322
164, 313, 192, 191, 312, 324, 203, 202, 323
165, 314, 193, 192, 313, 325, 204, 203, 324
166, 315, 194, 193, 314, 326, 205, 204, 325
167, 316, 195, 194, 315, 327, 206, 205, 326
168, 317, 196, 195, 316, 328, 207, 206, 327
169, 318, 197, 196, 317, 329, 208, 207, 328
170, 319, 198, 197, 318, 330, 209, 208, 329
171, 321, 200, 199, 320, 332, 211, 210, 331
172, 322, 201, 200, 321, 333, 212, 211, 332
173, 323, 202, 201, 322, 334, 213, 212, 333
174, 324, 203, 202, 323, 335, 214, 213, 334
175, 325, 204, 203, 324, 336, 215, 214, 335
176, 326, 205, 204, 325, 337, 216, 215, 336
177, 327, 206, 205, 326, 338, 217, 216, 337
178, 328, 207, 206, 327, 339, 218, 217, 338
179, 329, 208, 207, 328, 340, 219, 218, 339
180, 330, 209, 208, 329, 341, 220, 219, 340
181, 332, 211, 210, 331, 343, 222, 221, 342
182, 333, 212, 211, 332, 344, 223, 222, 343
183, 334, 213, 212, 333, 345, 224, 223, 344
184, 335, 214, 213, 334, 346, 225, 224, 345
185, 336, 215, 214, 335, 347, 226, 225, 346
186, 337, 216, 215, 336, 348, 227, 226, 347
187, 338, 217, 216, 337, 349, 228, 227, 348
188, 339, 218, 217, 338, 350, 229, 228, 349
189, 340, 219, 218, 339, 351, 230, 229, 350
190, 341, 220, 219, 340, 352, 231, 230, 351
191, 343, 222, 221, 342, 354, 233, 232, 353
192, 344, 223, 222, 343, 355, 234, 233, 354
193, 345, 224, 223, 344, 356, 235, 234, 355
194, 346, 225, 224, 345, 357, 236, 235, 356
195, 347, 226, 225, 346, 358, 237, 236, 357
196, 348, 227, 226, 347, 359, 238, 237, 358
197, 349, 228, 227, 348, 360, 239, 238, 359
198, 350, 229, 228, 349, 361, 240, 239, 360
199, 351, 230, 229, 350, 362, 241, 240, 361
200, 352, 231, 230, 351, 363, 242, 241, 362
201, 365, 244, 243, 364, 376, 255, 254, 375
202, 366, 245, 244, 365, 377, 256, 255, 376
203, 367, 246, 245, 366, 378, 257, 256, 377
204, 368, 247, 246, 367, 379, 258, 257, 378
205, 369, 248, 247, 368, 380, 259, 258, 379
206, 370, 249, 248, 369, 381, 260, 259, 380
207, 371, 250, 249, 370, 382, 261, 260, 381
208, 372, 251, 250, 371, 383, 262, 261, 382
209, 373, 252, 251, 372, 384, 263, 262, 383
210, 374, 253, 252, 373, 385, 264, 263, 384
211, 376, 255, 254, 375, 387, 266, 265, 386
212, 377, 256, 255, 376, 388, 267, 266, 387
213, 378, 257, 256, 377, 389, 268, 267, 388
214, 379, 258, 257, 378, 390, 269, 268, 389
215, 380, 259, 258, 379, 391, 270, 269, 390
216, 381, 260, 259, 380, 392, 271, 270, 391
217, 382, 261, 260, 381, 393, 272, 271, 392
218, 383, 262, 261, 382, 394, 273, 272, 393
219, 384, 263, 262, 383, 395, 274, 273, 394
220, 385, 264, 263, 384, 396, 275, 274, 395
221, 387, 266, 265, 386, 398, 277, 276, 397
222, 388, 267, 266, 387, 399, 278, 277, 398
223, 389, 268, 267, 388, 400, 279, 278, 399
224, 390, 269, 268, 389, 401, 280, 279, 400
225, 391, 270, 269, 390, 402, 281, 280, 401
226, 392, 271, 270, 391, 403, 282, 281, 402
227, 393, 272, 271, 392, 404, 283, 282, 403
228, 394, 273, 272, 393, 405, 284, 283, 404
229, 395, 274, 273, 394, 406, 285, 284, 405
230, 396, 275, 274, 395, 407, 286, 285, 406
231, 398, 277, 276, 397, 409, 288, 287, 408
232, 399, 278, 277, 398, 410, 289, 288, 409
233, 400, 279, 278, 399, 411, 290, 289, 410
234, 401, 280, 279, 400, 412, 291, 290, 411
235, 402, 281, 280, 401, 413, 292, 291, 412
236, 403, 282, 281, 402, 414, 293, 292, 413
237, 404, 283, 282, 403, 415, 294, 293, 414
238, 405, 284, 283, 404, 416, 295, 294, 415
239, 406, 285, 284, 405, 417, 296, 295, 416
240, 407, 286, 285, 406, 418, 297, 296, 417
241, 409, 288, 287, 408, 420, 299, 298, 419
242, 410, 289, 288, 409, 421, 300, 299, 420
243, 411, 290, 289, 410, 422, 301, 300, 421
244, 412, 291, 290, 411, 423, 302, 301, 422
245, 413, 292, 291, 412, 424, 303, 302, 423
246, 414, 293, 292, 413, 425, 304, 303, 424
247, 415, 294, 293, 414, 426, 305, 304, 425
248, 416, 295, 294, 415, 427, 306, 305, 426
249, 417, 296, 295, 416, 428, 307, 306, 427
250, 418, 297, 296, 417, 429, 308, 307, 428
251, 420, 299, 298, 419, 431, 310, 309, 430
252, 421, 300, 299, 420, 432, 311, 310, 431
253, 422, 301, 300, 421, 433, 312, 311, 432
254, 423, 302, 301, 422, 434, 313, 312, 433
255, 424, 303, 302, 423, 435, 314, 313, 434
256, 425, 304, 303, 424, 436, 315, 314, 435
257, 426, 305, 304, 425, 437, 316, 315, 436
258, 427, 306, 305, 426, 438, 317, 316, 437
259, 428, 307, 306, 427, 439, 318, 317, 438
260, 429, 308, 307, 428, 440, 319, 318, 439
261, 431, 310, 309, 430, 442, 321, 320, 441
262, 432, 311, 310, 431, 443, 322, 321, 442
263, 433, 312, 311, 432, 444, 323, 322, 443
264, 434, 313, 312, 433, 445, 324, 323, 444
265, 435, 314, 313, 434, 446, 325, 324, 445
266, 436, 315, 314, 435, 447, 326, 325, 446
267, 437, 316, 315, 436, 448, 327, 326, 447
268, 438, 317, 316, 437, 449, 328, 327, 448
269, 439, 318, 317, 438, 450, 329, 328, 449
270, 440, 319, 318, 439, 451, 330, 329, 450
271, 442, 321, 320, 441, 453, 332, 331, 452
272, 443, 322, 321, 442, 454, 333, 332, 453
273, 444, 323, 322, 443, 455, 334, 333, 454
274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
*Elset, elset=GRAIN-1
505, 506, 515, 516, 604, 605, 606, 607, 608
609, 613, 614, 615, 616, 617, 618, 624, 625
626, 627, 635, 636, 702, 703, 704, 705, 706
707, 708, 709, 710, 712, 713, 714, 715, 716
717, 718, 719, 720, 722, 723, 724, 725, 726
727, 728, 729, 730, 734, 735, 736, 737, 738
739, 801, 802, 803, 804, 805, 806, 807, 808
809, 810, 811, 812, 813, 814, 815, 816, 817
818, 819, 820, 821, 822, 823, 824, 825, 826
827, 828, 829, 830, 833, 834, 835, 836, 837
838, 839, 840, 845, 846, 847, 848, 849, 901
902, 903, 904, 905, 906, 907, 908, 909, 910
911, 912, 913, 914, 915, 916, 917, 918, 919
920, 921, 922, 923, 924, 925, 926, 927, 928
929, 930, 931, 932, 933, 934, 935, 936, 937
938, 939, 940, 944, 945, 946, 947, 948, 949
950,
*Elset, elset=GRAIN-2
35, 36, 37, 44, 45, 46, 47, 48, 54
55, 56, 57, 58, 59, 60, 64, 65, 66
67, 68, 69, 70, 74, 75, 76, 77, 78
79, 80, 83, 84, 85, 86, 87, 88, 89
90, 93, 94, 95, 96, 97, 98, 99, 100
135, 144, 145, 146, 147, 148, 154, 155, 156
157, 158, 159, 160, 164, 165, 166, 167, 168
169, 170, 174, 175, 176, 177, 178, 179, 180
184, 185, 186, 187, 188, 189, 190, 194, 195
196, 197, 198, 199, 200, 244, 245, 246, 247
254, 255, 256, 257, 258, 259, 264, 265, 266
267, 268, 269, 270, 274, 275, 276, 277, 278
279, 280, 284, 285, 286, 287, 288, 289, 290
295, 296, 297, 298, 299, 344, 345, 346, 354
355, 356, 357, 358, 359, 364, 365, 366, 367
368, 369, 375, 376, 377, 378, 379, 385, 386
387, 388, 397, 446, 456, 457, 458, 459, 466
467, 468, 476, 477,
*Elset, elset=GRAIN-3
193, 293, 294, 374, 383, 384, 391, 392, 393
394, 395, 396, 443, 444, 445, 453, 454, 455
463, 464, 465, 473, 474, 475, 481, 482, 483
484, 485, 486, 491, 492, 493, 494, 495, 496
534, 535, 541, 542, 543, 544, 545, 546, 551
552, 553, 554, 555, 556, 557, 561, 562, 563
564, 565, 566, 567, 571, 572, 573, 574, 575
576, 577, 581, 582, 583, 584, 585, 586, 587
591, 592, 593, 594, 595, 596, 631, 632, 633
634, 641, 642, 643, 644, 645, 646, 647, 651
652, 653, 654, 655, 656, 657, 661, 662, 663
664, 665, 666, 667, 671, 672, 673, 674, 675
676, 677, 681, 682, 683, 684, 685, 686, 687
691, 692, 693, 694, 695, 696, 697, 731, 732
733, 741, 742, 743, 744, 745, 746, 747, 751
752, 753, 754, 755, 756, 757, 761, 762, 763
764, 765, 766, 767, 771, 772, 773, 774, 775
776, 777, 781, 782, 783, 784, 785, 786, 787
791, 792, 793, 794, 795, 796, 797, 831, 832
841, 842, 843, 844, 851, 852, 853, 854, 855
856, 857, 861, 862, 863, 864, 865, 866, 867
871, 872, 873, 874, 875, 876, 877, 881, 882
883, 884, 885, 886, 887, 891, 892, 893, 894
895, 896, 897, 941, 942, 943, 951, 952, 953
954, 955, 956, 957, 961, 962, 963, 964, 965
966, 967, 971, 972, 973, 974, 975, 976, 977
981, 982, 983, 984, 985, 986, 987, 991, 992
993, 994, 995, 996, 997,
*Elset, elset=GRAIN-4
1, 2, 3, 4, 5, 11, 12, 13, 14
15, 21, 22, 23, 24, 25, 31, 32, 33
34, 42, 43, 101, 102, 103, 104, 105, 111
112, 113, 114, 115, 121, 122, 123, 124, 125
131, 132, 133, 134, 142, 143, 201, 202, 203
204, 205, 211, 212, 213, 214, 215, 221, 222
223, 224, 225, 231, 232, 233, 234, 301, 302
303, 304, 305, 311, 312, 313, 314, 315, 321
322, 323, 324, 331, 332, 333, 334, 401, 402
403, 404, 405, 411, 412, 413, 414, 415, 421
422, 423, 424, 431, 432, 433, 434, 501, 502
503, 504, 511, 512, 513, 514, 521, 522, 523
524, 531, 532, 533, 601, 602, 603, 611, 612
621, 622, 623, 701, 711, 721,
*Elset, elset=GRAIN-5
6, 7, 8, 9, 10, 16, 17, 18, 19
20, 26, 27, 28, 29, 30, 38, 39, 40
49, 50, 106, 107, 108, 109, 110, 116, 117
118, 119, 120, 126, 127, 128, 129, 130, 136
137, 138, 139, 140, 149, 150, 206, 207, 208
209, 210, 216, 217, 218, 219, 220, 226, 227
228, 229, 230, 235, 236, 237, 238, 239, 240
248, 249, 250, 260, 306, 307, 308, 309, 310
316, 317, 318, 319, 320, 325, 326, 327, 328
329, 330, 335, 336, 337, 338, 339, 340, 347
348, 349, 350, 360, 406, 407, 408, 409, 410
416, 417, 418, 419, 420, 425, 426, 427, 428
429, 430, 435, 436, 437, 438, 439, 440, 447
448, 449, 450, 507, 508, 509, 510, 517, 518
519, 520, 525, 526, 527, 528, 529, 530, 536
537, 538, 539, 540, 547, 548, 549, 550, 610
619, 620, 628, 629, 630, 637, 638, 639, 640
648, 740,
*Elset, elset=GRAIN-6
300, 370, 380, 389, 390, 398, 399, 400, 460
469, 470, 478, 479, 480, 487, 488, 489, 490
497, 498, 499, 500, 558, 559, 560, 568, 569
570, 578, 579, 580, 588, 589, 590, 597, 598
599, 600, 649, 650, 658, 659, 660, 668, 669
670, 678, 679, 680, 688, 689, 690, 698, 699
700, 748, 749, 750, 758, 759, 760, 768, 769
770, 778, 779, 780, 788, 789, 790, 798, 799
800, 850, 858, 859, 860, 868, 869, 870, 878
879, 880, 888, 889, 890, 898, 899, 900, 958
959, 960, 968, 969, 970, 978, 979, 980, 988
989, 990, 998, 999, 1000,
*Elset, elset=GRAIN-7
41, 51, 52, 53, 61, 62, 63, 71, 72
73, 81, 82, 91, 92, 141, 151, 152, 153
161, 162, 163, 171, 172, 173, 181, 182, 183
191, 192, 241, 242, 243, 251, 252, 253, 261
262, 263, 271, 272, 273, 281, 282, 283, 291
292, 341, 342, 343, 351, 352, 353, 361, 362
363, 371, 372, 373, 381, 382, 441, 442, 451
452, 461, 462, 471, 472,
*Elset, elset=Phase-1
1, 2, 3, 4, 5, 6, 7, 8, 9
10, 11, 12, 13, 14, 15, 16, 17, 18
19, 20, 21, 22, 23, 24, 25, 26, 27
28, 29, 30, 31, 32, 33, 34, 35, 36
37, 38, 39, 40, 41, 42, 43, 44, 45
46, 47, 48, 49, 50, 51, 52, 53, 54
55, 56, 57, 58, 59, 60, 61, 62, 63
64, 65, 66, 67, 68, 69, 70, 71, 72
73, 74, 75, 76, 77, 78, 79, 80, 81
82, 83, 84, 85, 86, 87, 88, 89, 90
91, 92, 93, 94, 95, 96, 97, 98, 99
100, 101, 102, 103, 104, 105, 106, 107, 108
109, 110, 111, 112, 113, 114, 115, 116, 117
118, 119, 120, 121, 122, 123, 124, 125, 126
127, 128, 129, 130, 131, 132, 133, 134, 135
136, 137, 138, 139, 140, 141, 142, 143, 144
145, 146, 147, 148, 149, 150, 151, 152, 153
154, 155, 156, 157, 158, 159, 160, 161, 162
163, 164, 165, 166, 167, 168, 169, 170, 171
172, 173, 174, 175, 176, 177, 178, 179, 180
181, 182, 183, 184, 185, 186, 187, 188, 189
190, 191, 192, 193, 194, 195, 196, 197, 198
199, 200, 201, 202, 203, 204, 205, 206, 207
208, 209, 210, 211, 212, 213, 214, 215, 216
217, 218, 219, 220, 221, 222, 223, 224, 225
226, 227, 228, 229, 230, 231, 232, 233, 234
235, 236, 237, 238, 239, 240, 241, 242, 243
244, 245, 246, 247, 248, 249, 250, 251, 252
253, 254, 255, 256, 257, 258, 259, 260, 261
262, 263, 264, 265, 266, 267, 268, 269, 270
271, 272, 273, 274, 275, 276, 277, 278, 279
280, 281, 282, 283, 284, 285, 286, 287, 288
289, 290, 291, 292, 293, 294, 295, 296, 297
298, 299, 300, 301, 302, 303, 304, 305, 306
307, 308, 309, 310, 311, 312, 313, 314, 315
316, 317, 318, 319, 320, 321, 322, 323, 324
325, 326, 327, 328, 329, 330, 331, 332, 333
334, 335, 336, 337, 338, 339, 340, 341, 342
343, 344, 345, 346, 347, 348, 349, 350, 351
352, 353, 354, 355, 356, 357, 358, 359, 360
361, 362, 363, 364, 365, 366, 367, 368, 369
370, 371, 372, 373, 374, 375, 376, 377, 378
379, 380, 381, 382, 383, 384, 385, 386, 387
388, 389, 390, 391, 392, 393, 394, 395, 396
397, 398, 399, 400, 401, 402, 403, 404, 405
406, 407, 408, 409, 410, 411, 412, 413, 414
415, 416, 417, 418, 419, 420, 421, 422, 423
424, 425, 426, 427, 428, 429, 430, 431, 432
433, 434, 435, 436, 437, 438, 439, 440, 441
442, 443, 444, 445, 446, 447, 448, 449, 450
451, 452, 453, 454, 455, 456, 457, 458, 459
460, 461, 462, 463, 464, 465, 466, 467, 468
469, 470, 471, 472, 473, 474, 475, 476, 477
478, 479, 480, 481, 482, 483, 484, 485, 486
487, 488, 489, 490, 491, 492, 493, 494, 495
496, 497, 498, 499, 500, 501, 502, 503, 504
505, 506, 507, 508, 509, 510, 511, 512, 513
514, 515, 516, 517, 518, 519, 520, 521, 522
523, 524, 525, 526, 527, 528, 529, 530, 531
532, 533, 534, 535, 536, 537, 538, 539, 540
541, 542, 543, 544, 545, 546, 547, 548, 549
550, 551, 552, 553, 554, 555, 556, 557, 558
559, 560, 561, 562, 563, 564, 565, 566, 567
568, 569, 570, 571, 572, 573, 574, 575, 576
577, 578, 579, 580, 581, 582, 583, 584, 585
586, 587, 588, 589, 590, 591, 592, 593, 594
595, 596, 597, 598, 599, 600, 601, 602, 603
604, 605, 606, 607, 608, 609, 610, 611, 612
613, 614, 615, 616, 617, 618, 619, 620, 621
622, 623, 624, 625, 626, 627, 628, 629, 630
631, 632, 633, 634, 635, 636, 637, 638, 639
640, 641, 642, 643, 644, 645, 646, 647, 648
649, 650, 651, 652, 653, 654, 655, 656, 657
658, 659, 660, 661, 662, 663, 664, 665, 666
667, 668, 669, 670, 671, 672, 673, 674, 675
676, 677, 678, 679, 680, 681, 682, 683, 684
685, 686, 687, 688, 689, 690, 691, 692, 693
694, 695, 696, 697, 698, 699, 700, 701, 702
703, 704, 705, 706, 707, 708, 709, 710, 711
712, 713, 714, 715, 716, 717, 718, 719, 720
721, 722, 723, 724, 725, 726, 727, 728, 729
730, 731, 732, 733, 734, 735, 736, 737, 738
739, 740, 741, 742, 743, 744, 745, 746, 747
748, 749, 750, 751, 752, 753, 754, 755, 756
757, 758, 759, 760, 761, 762, 763, 764, 765
766, 767, 768, 769, 770, 771, 772, 773, 774
775, 776, 777, 778, 779, 780, 781, 782, 783
784, 785, 786, 787, 788, 789, 790, 791, 792
793, 794, 795, 796, 797, 798, 799, 800, 801
802, 803, 804, 805, 806, 807, 808, 809, 810
811, 812, 813, 814, 815, 816, 817, 818, 819
820, 821, 822, 823, 824, 825, 826, 827, 828
829, 830, 831, 832, 833, 834, 835, 836, 837
838, 839, 840, 841, 842, 843, 844, 845, 846
847, 848, 849, 850, 851, 852, 853, 854, 855
856, 857, 858, 859, 860, 861, 862, 863, 864
865, 866, 867, 868, 869, 870, 871, 872, 873
874, 875, 876, 877, 878, 879, 880, 881, 882
883, 884, 885, 886, 887, 888, 889, 890, 891
892, 893, 894, 895, 896, 897, 898, 899, 900
901, 902, 903, 904, 905, 906, 907, 908, 909
910, 911, 912, 913, 914, 915, 916, 917, 918
919, 920, 921, 922, 923, 924, 925, 926, 927
928, 929, 930, 931, 932, 933, 934, 935, 936
937, 938, 939, 940, 941, 942, 943, 944, 945
946, 947, 948, 949, 950, 951, 952, 953, 954
955, 956, 957, 958, 959, 960, 961, 962, 963
964, 965, 966, 967, 968, 969, 970, 971, 972
973, 974, 975, 976, 977, 978, 979, 980, 981
982, 983, 984, 985, 986, 987, 988, 989, 990
991, 992, 993, 994, 995, 996, 997, 998, 999
1000,
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=DREAM3D-1, part=DREAM3D
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 1.000000e+00, 0.000000e+00, 0.000000e+00
3, 2.000000e+00, 0.000000e+00, 0.000000e+00
4, 3.000000e+00, 0.000000e+00, 0.000000e+00
5, 4.000000e+00, 0.000000e+00, 0.000000e+00
6, 5.000000e+00, 0.000000e+00, 0.000000e+00
7, 6.000000e+00, 0.000000e+00, 0.000000e+00
8, 7.000000e+00, 0.000000e+00, 0.000000e+00
9, 8.000000e+00, 0.000000e+00, 0.000000e+00
10, 9.000000e+00, 0.000000e+00, 0.000000e+00
11, 1.000000e+01, 0.000000e+00, 0.000000e+00
12, 0.000000e+00, 1.000000e+00, 0.000000e+00
13, 1.000000e+00, 1.000000e+00, 0.000000e+00
14, 2.000000e+00, 1.000000e+00, 0.000000e+00
15, 3.000000e+00, 1.000000e+00, 0.000000e+00
16, 4.000000e+00, 1.000000e+00, 0.000000e+00
17, 5.000000e+00, 1.000000e+00, 0.000000e+00
18, 6.000000e+00, 1.000000e+00, 0.000000e+00
19, 7.000000e+00, 1.000000e+00, 0.000000e+00
20, 8.000000e+00, 1.000000e+00, 0.000000e+00
21, 9.000000e+00, 1.000000e+00, 0.000000e+00
22, 1.000000e+01, 1.000000e+00, 0.000000e+00
23, 0.000000e+00, 2.000000e+00, 0.000000e+00
24, 1.000000e+00, 2.000000e+00, 0.000000e+00
25, 2.000000e+00, 2.000000e+00, 0.000000e+00
26, 3.000000e+00, 2.000000e+00, 0.000000e+00
27, 4.000000e+00, 2.000000e+00, 0.000000e+00
28, 5.000000e+00, 2.000000e+00, 0.000000e+00
29, 6.000000e+00, 2.000000e+00, 0.000000e+00
30, 7.000000e+00, 2.000000e+00, 0.000000e+00
31, 8.000000e+00, 2.000000e+00, 0.000000e+00
32, 9.000000e+00, 2.000000e+00, 0.000000e+00
33, 1.000000e+01, 2.000000e+00, 0.000000e+00
34, 0.000000e+00, 3.000000e+00, 0.000000e+00
35, 1.000000e+00, 3.000000e+00, 0.000000e+00
36, 2.000000e+00, 3.000000e+00, 0.000000e+00
37, 3.000000e+00, 3.000000e+00, 0.000000e+00
38, 4.000000e+00, 3.000000e+00, 0.000000e+00
39, 5.000000e+00, 3.000000e+00, 0.000000e+00
40, 6.000000e+00, 3.000000e+00, 0.000000e+00
41, 7.000000e+00, 3.000000e+00, 0.000000e+00
42, 8.000000e+00, 3.000000e+00, 0.000000e+00
43, 9.000000e+00, 3.000000e+00, 0.000000e+00
44, 1.000000e+01, 3.000000e+00, 0.000000e+00
45, 0.000000e+00, 4.000000e+00, 0.000000e+00
46, 1.000000e+00, 4.000000e+00, 0.000000e+00
47, 2.000000e+00, 4.000000e+00, 0.000000e+00
48, 3.000000e+00, 4.000000e+00, 0.000000e+00
49, 4.000000e+00, 4.000000e+00, 0.000000e+00
50, 5.000000e+00, 4.000000e+00, 0.000000e+00
51, 6.000000e+00, 4.000000e+00, 0.000000e+00
52, 7.000000e+00, 4.000000e+00, 0.000000e+00
53, 8.000000e+00, 4.000000e+00, 0.000000e+00
54, 9.000000e+00, 4.000000e+00, 0.000000e+00
55, 1.000000e+01, 4.000000e+00, 0.000000e+00
56, 0.000000e+00, 5.000000e+00, 0.000000e+00
57, 1.000000e+00, 5.000000e+00, 0.000000e+00
58, 2.000000e+00, 5.000000e+00, 0.000000e+00
59, 3.000000e+00, 5.000000e+00, 0.000000e+00
60, 4.000000e+00, 5.000000e+00, 0.000000e+00
61, 5.000000e+00, 5.000000e+00, 0.000000e+00
62, 6.000000e+00, 5.000000e+00, 0.000000e+00
63, 7.000000e+00, 5.000000e+00, 0.000000e+00
64, 8.000000e+00, 5.000000e+00, 0.000000e+00
65, 9.000000e+00, 5.000000e+00, 0.000000e+00
66, 1.000000e+01, 5.000000e+00, 0.000000e+00
67, 0.000000e+00, 6.000000e+00, 0.000000e+00
68, 1.000000e+00, 6.000000e+00, 0.000000e+00
69, 2.000000e+00, 6.000000e+00, 0.000000e+00
70, 3.000000e+00, 6.000000e+00, 0.000000e+00
71, 4.000000e+00, 6.000000e+00, 0.000000e+00
72, 5.000000e+00, 6.000000e+00, 0.000000e+00
73, 6.000000e+00, 6.000000e+00, 0.000000e+00
74, 7.000000e+00, 6.000000e+00, 0.000000e+00
75, 8.000000e+00, 6.000000e+00, 0.000000e+00
76, 9.000000e+00, 6.000000e+00, 0.000000e+00
77, 1.000000e+01, 6.000000e+00, 0.000000e+00
78, 0.000000e+00, 7.000000e+00, 0.000000e+00
79, 1.000000e+00, 7.000000e+00, 0.000000e+00
80, 2.000000e+00, 7.000000e+00, 0.000000e+00
81, 3.000000e+00, 7.000000e+00, 0.000000e+00
82, 4.000000e+00, 7.000000e+00, 0.000000e+00
83, 5.000000e+00, 7.000000e+00, 0.000000e+00
84, 6.000000e+00, 7.000000e+00, 0.000000e+00
85, 7.000000e+00, 7.000000e+00, 0.000000e+00
86, 8.000000e+00, 7.000000e+00, 0.000000e+00
87, 9.000000e+00, 7.000000e+00, 0.000000e+00
88, 1.000000e+01, 7.000000e+00, 0.000000e+00
89, 0.000000e+00, 8.000000e+00, 0.000000e+00
90, 1.000000e+00, 8.000000e+00, 0.000000e+00
91, 2.000000e+00, 8.000000e+00, 0.000000e+00
92, 3.000000e+00, 8.000000e+00, 0.000000e+00
93, 4.000000e+00, 8.000000e+00, 0.000000e+00
94, 5.000000e+00, 8.000000e+00, 0.000000e+00
95, 6.000000e+00, 8.000000e+00, 0.000000e+00
96, 7.000000e+00, 8.000000e+00, 0.000000e+00
97, 8.000000e+00, 8.000000e+00, 0.000000e+00
98, 9.000000e+00, 8.000000e+00, 0.000000e+00
99, 1.000000e+01, 8.000000e+00, 0.000000e+00
100, 0.000000e+00, 9.000000e+00, 0.000000e+00
101, 1.000000e+00, 9.000000e+00, 0.000000e+00
102, 2.000000e+00, 9.000000e+00, 0.000000e+00
103, 3.000000e+00, 9.000000e+00, 0.000000e+00
104, 4.000000e+00, 9.000000e+00, 0.000000e+00
105, 5.000000e+00, 9.000000e+00, 0.000000e+00
106, 6.000000e+00, 9.000000e+00, 0.000000e+00
107, 7.000000e+00, 9.000000e+00, 0.000000e+00
108, 8.000000e+00, 9.000000e+00, 0.000000e+00
109, 9.000000e+00, 9.000000e+00, 0.000000e+00
110, 1.000000e+01, 9.000000e+00, 0.000000e+00
111, 0.000000e+00, 1.000000e+01, 0.000000e+00
112, 1.000000e+00, 1.000000e+01, 0.000000e+00
113, 2.000000e+00, 1.000000e+01, 0.000000e+00
114, 3.000000e+00, 1.000000e+01, 0.000000e+00
115, 4.000000e+00, 1.000000e+01, 0.000000e+00
116, 5.000000e+00, 1.000000e+01, 0.000000e+00
117, 6.000000e+00, 1.000000e+01, 0.000000e+00
118, 7.000000e+00, 1.000000e+01, 0.000000e+00
119, 8.000000e+00, 1.000000e+01, 0.000000e+00
120, 9.000000e+00, 1.000000e+01, 0.000000e+00
121, 1.000000e+01, 1.000000e+01, 0.000000e+00
122, 0.000000e+00, 0.000000e+00, 1.000000e+00
123, 1.000000e+00, 0.000000e+00, 1.000000e+00
124, 2.000000e+00, 0.000000e+00, 1.000000e+00
125, 3.000000e+00, 0.000000e+00, 1.000000e+00
126, 4.000000e+00, 0.000000e+00, 1.000000e+00
127, 5.000000e+00, 0.000000e+00, 1.000000e+00
128, 6.000000e+00, 0.000000e+00, 1.000000e+00
129, 7.000000e+00, 0.000000e+00, 1.000000e+00
130, 8.000000e+00, 0.000000e+00, 1.000000e+00
131, 9.000000e+00, 0.000000e+00, 1.000000e+00
132, 1.000000e+01, 0.000000e+00, 1.000000e+00
133, 0.000000e+00, 1.000000e+00, 1.000000e+00
134, 1.000000e+00, 1.000000e+00, 1.000000e+00
135, 2.000000e+00, 1.000000e+00, 1.000000e+00
136, 3.000000e+00, 1.000000e+00, 1.000000e+00
137, 4.000000e+00, 1.000000e+00, 1.000000e+00
138, 5.000000e+00, 1.000000e+00, 1.000000e+00
139, 6.000000e+00, 1.000000e+00, 1.000000e+00
140, 7.000000e+00, 1.000000e+00, 1.000000e+00
141, 8.000000e+00, 1.000000e+00, 1.000000e+00
142, 9.000000e+00, 1.000000e+00, 1.000000e+00
143, 1.000000e+01, 1.000000e+00, 1.000000e+00
144, 0.000000e+00, 2.000000e+00, 1.000000e+00
145, 1.000000e+00, 2.000000e+00, 1.000000e+00
146, 2.000000e+00, 2.000000e+00, 1.000000e+00
147, 3.000000e+00, 2.000000e+00, 1.000000e+00
148, 4.000000e+00, 2.000000e+00, 1.000000e+00
149, 5.000000e+00, 2.000000e+00, 1.000000e+00
150, 6.000000e+00, 2.000000e+00, 1.000000e+00
151, 7.000000e+00, 2.000000e+00, 1.000000e+00
152, 8.000000e+00, 2.000000e+00, 1.000000e+00
153, 9.000000e+00, 2.000000e+00, 1.000000e+00
154, 1.000000e+01, 2.000000e+00, 1.000000e+00
155, 0.000000e+00, 3.000000e+00, 1.000000e+00
156, 1.000000e+00, 3.000000e+00, 1.000000e+00
157, 2.000000e+00, 3.000000e+00, 1.000000e+00
158, 3.000000e+00, 3.000000e+00, 1.000000e+00
159, 4.000000e+00, 3.000000e+00, 1.000000e+00
160, 5.000000e+00, 3.000000e+00, 1.000000e+00
161, 6.000000e+00, 3.000000e+00, 1.000000e+00
162, 7.000000e+00, 3.000000e+00, 1.000000e+00
163, 8.000000e+00, 3.000000e+00, 1.000000e+00
164, 9.000000e+00, 3.000000e+00, 1.000000e+00
165, 1.000000e+01, 3.000000e+00, 1.000000e+00
166, 0.000000e+00, 4.000000e+00, 1.000000e+00
167, 1.000000e+00, 4.000000e+00, 1.000000e+00
168, 2.000000e+00, 4.000000e+00, 1.000000e+00
169, 3.000000e+00, 4.000000e+00, 1.000000e+00
170, 4.000000e+00, 4.000000e+00, 1.000000e+00
171, 5.000000e+00, 4.000000e+00, 1.000000e+00
172, 6.000000e+00, 4.000000e+00, 1.000000e+00
173, 7.000000e+00, 4.000000e+00, 1.000000e+00
174, 8.000000e+00, 4.000000e+00, 1.000000e+00
175, 9.000000e+00, 4.000000e+00, 1.000000e+00
176, 1.000000e+01, 4.000000e+00, 1.000000e+00
177, 0.000000e+00, 5.000000e+00, 1.000000e+00
178, 1.000000e+00, 5.000000e+00, 1.000000e+00
179, 2.000000e+00, 5.000000e+00, 1.000000e+00
180, 3.000000e+00, 5.000000e+00, 1.000000e+00
181, 4.000000e+00, 5.000000e+00, 1.000000e+00
182, 5.000000e+00, 5.000000e+00, 1.000000e+00
183, 6.000000e+00, 5.000000e+00, 1.000000e+00
184, 7.000000e+00, 5.000000e+00, 1.000000e+00
185, 8.000000e+00, 5.000000e+00, 1.000000e+00
186, 9.000000e+00, 5.000000e+00, 1.000000e+00
187, 1.000000e+01, 5.000000e+00, 1.000000e+00
188, 0.000000e+00, 6.000000e+00, 1.000000e+00
189, 1.000000e+00, 6.000000e+00, 1.000000e+00
190, 2.000000e+00, 6.000000e+00, 1.000000e+00
191, 3.000000e+00, 6.000000e+00, 1.000000e+00
192, 4.000000e+00, 6.000000e+00, 1.000000e+00
193, 5.000000e+00, 6.000000e+00, 1.000000e+00
194, 6.000000e+00, 6.000000e+00, 1.000000e+00
195, 7.000000e+00, 6.000000e+00, 1.000000e+00
196, 8.000000e+00, 6.000000e+00, 1.000000e+00
197, 9.000000e+00, 6.000000e+00, 1.000000e+00
198, 1.000000e+01, 6.000000e+00, 1.000000e+00
199, 0.000000e+00, 7.000000e+00, 1.000000e+00
200, 1.000000e+00, 7.000000e+00, 1.000000e+00
201, 2.000000e+00, 7.000000e+00, 1.000000e+00
202, 3.000000e+00, 7.000000e+00, 1.000000e+00
203, 4.000000e+00, 7.000000e+00, 1.000000e+00
204, 5.000000e+00, 7.000000e+00, 1.000000e+00
205, 6.000000e+00, 7.000000e+00, 1.000000e+00
206, 7.000000e+00, 7.000000e+00, 1.000000e+00
207, 8.000000e+00, 7.000000e+00, 1.000000e+00
208, 9.000000e+00, 7.000000e+00, 1.000000e+00
209, 1.000000e+01, 7.000000e+00, 1.000000e+00
210, 0.000000e+00, 8.000000e+00, 1.000000e+00
211, 1.000000e+00, 8.000000e+00, 1.000000e+00
212, 2.000000e+00, 8.000000e+00, 1.000000e+00
213, 3.000000e+00, 8.000000e+00, 1.000000e+00
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1217, 6.000000e+00, 0.000000e+00, 1.000000e+01
1218, 7.000000e+00, 0.000000e+00, 1.000000e+01
1219, 8.000000e+00, 0.000000e+00, 1.000000e+01
1220, 9.000000e+00, 0.000000e+00, 1.000000e+01
1221, 1.000000e+01, 0.000000e+00, 1.000000e+01
1222, 0.000000e+00, 1.000000e+00, 1.000000e+01
1223, 1.000000e+00, 1.000000e+00, 1.000000e+01
1224, 2.000000e+00, 1.000000e+00, 1.000000e+01
1225, 3.000000e+00, 1.000000e+00, 1.000000e+01
1226, 4.000000e+00, 1.000000e+00, 1.000000e+01
1227, 5.000000e+00, 1.000000e+00, 1.000000e+01
1228, 6.000000e+00, 1.000000e+00, 1.000000e+01
1229, 7.000000e+00, 1.000000e+00, 1.000000e+01
1230, 8.000000e+00, 1.000000e+00, 1.000000e+01
1231, 9.000000e+00, 1.000000e+00, 1.000000e+01
1232, 1.000000e+01, 1.000000e+00, 1.000000e+01
1233, 0.000000e+00, 2.000000e+00, 1.000000e+01
1234, 1.000000e+00, 2.000000e+00, 1.000000e+01
1235, 2.000000e+00, 2.000000e+00, 1.000000e+01
1236, 3.000000e+00, 2.000000e+00, 1.000000e+01
1237, 4.000000e+00, 2.000000e+00, 1.000000e+01
1238, 5.000000e+00, 2.000000e+00, 1.000000e+01
1239, 6.000000e+00, 2.000000e+00, 1.000000e+01
1240, 7.000000e+00, 2.000000e+00, 1.000000e+01
1241, 8.000000e+00, 2.000000e+00, 1.000000e+01
1242, 9.000000e+00, 2.000000e+00, 1.000000e+01
1243, 1.000000e+01, 2.000000e+00, 1.000000e+01
1244, 0.000000e+00, 3.000000e+00, 1.000000e+01
1245, 1.000000e+00, 3.000000e+00, 1.000000e+01
1246, 2.000000e+00, 3.000000e+00, 1.000000e+01
1247, 3.000000e+00, 3.000000e+00, 1.000000e+01
1248, 4.000000e+00, 3.000000e+00, 1.000000e+01
1249, 5.000000e+00, 3.000000e+00, 1.000000e+01
1250, 6.000000e+00, 3.000000e+00, 1.000000e+01
1251, 7.000000e+00, 3.000000e+00, 1.000000e+01
1252, 8.000000e+00, 3.000000e+00, 1.000000e+01
1253, 9.000000e+00, 3.000000e+00, 1.000000e+01
1254, 1.000000e+01, 3.000000e+00, 1.000000e+01
1255, 0.000000e+00, 4.000000e+00, 1.000000e+01
1256, 1.000000e+00, 4.000000e+00, 1.000000e+01
1257, 2.000000e+00, 4.000000e+00, 1.000000e+01
1258, 3.000000e+00, 4.000000e+00, 1.000000e+01
1259, 4.000000e+00, 4.000000e+00, 1.000000e+01
1260, 5.000000e+00, 4.000000e+00, 1.000000e+01
1261, 6.000000e+00, 4.000000e+00, 1.000000e+01
1262, 7.000000e+00, 4.000000e+00, 1.000000e+01
1263, 8.000000e+00, 4.000000e+00, 1.000000e+01
1264, 9.000000e+00, 4.000000e+00, 1.000000e+01
1265, 1.000000e+01, 4.000000e+00, 1.000000e+01
1266, 0.000000e+00, 5.000000e+00, 1.000000e+01
1267, 1.000000e+00, 5.000000e+00, 1.000000e+01
1268, 2.000000e+00, 5.000000e+00, 1.000000e+01
1269, 3.000000e+00, 5.000000e+00, 1.000000e+01
1270, 4.000000e+00, 5.000000e+00, 1.000000e+01
1271, 5.000000e+00, 5.000000e+00, 1.000000e+01
1272, 6.000000e+00, 5.000000e+00, 1.000000e+01
1273, 7.000000e+00, 5.000000e+00, 1.000000e+01
1274, 8.000000e+00, 5.000000e+00, 1.000000e+01
1275, 9.000000e+00, 5.000000e+00, 1.000000e+01
1276, 1.000000e+01, 5.000000e+00, 1.000000e+01
1277, 0.000000e+00, 6.000000e+00, 1.000000e+01
1278, 1.000000e+00, 6.000000e+00, 1.000000e+01
1279, 2.000000e+00, 6.000000e+00, 1.000000e+01
1280, 3.000000e+00, 6.000000e+00, 1.000000e+01
1281, 4.000000e+00, 6.000000e+00, 1.000000e+01
1282, 5.000000e+00, 6.000000e+00, 1.000000e+01
1283, 6.000000e+00, 6.000000e+00, 1.000000e+01
1284, 7.000000e+00, 6.000000e+00, 1.000000e+01
1285, 8.000000e+00, 6.000000e+00, 1.000000e+01
1286, 9.000000e+00, 6.000000e+00, 1.000000e+01
1287, 1.000000e+01, 6.000000e+00, 1.000000e+01
1288, 0.000000e+00, 7.000000e+00, 1.000000e+01
1289, 1.000000e+00, 7.000000e+00, 1.000000e+01
1290, 2.000000e+00, 7.000000e+00, 1.000000e+01
1291, 3.000000e+00, 7.000000e+00, 1.000000e+01
1292, 4.000000e+00, 7.000000e+00, 1.000000e+01
1293, 5.000000e+00, 7.000000e+00, 1.000000e+01
1294, 6.000000e+00, 7.000000e+00, 1.000000e+01
1295, 7.000000e+00, 7.000000e+00, 1.000000e+01
1296, 8.000000e+00, 7.000000e+00, 1.000000e+01
1297, 9.000000e+00, 7.000000e+00, 1.000000e+01
1298, 1.000000e+01, 7.000000e+00, 1.000000e+01
1299, 0.000000e+00, 8.000000e+00, 1.000000e+01
1300, 1.000000e+00, 8.000000e+00, 1.000000e+01
1301, 2.000000e+00, 8.000000e+00, 1.000000e+01
1302, 3.000000e+00, 8.000000e+00, 1.000000e+01
1303, 4.000000e+00, 8.000000e+00, 1.000000e+01
1304, 5.000000e+00, 8.000000e+00, 1.000000e+01
1305, 6.000000e+00, 8.000000e+00, 1.000000e+01
1306, 7.000000e+00, 8.000000e+00, 1.000000e+01
1307, 8.000000e+00, 8.000000e+00, 1.000000e+01
1308, 9.000000e+00, 8.000000e+00, 1.000000e+01
1309, 1.000000e+01, 8.000000e+00, 1.000000e+01
1310, 0.000000e+00, 9.000000e+00, 1.000000e+01
1311, 1.000000e+00, 9.000000e+00, 1.000000e+01
1312, 2.000000e+00, 9.000000e+00, 1.000000e+01
1313, 3.000000e+00, 9.000000e+00, 1.000000e+01
1314, 4.000000e+00, 9.000000e+00, 1.000000e+01
1315, 5.000000e+00, 9.000000e+00, 1.000000e+01
1316, 6.000000e+00, 9.000000e+00, 1.000000e+01
1317, 7.000000e+00, 9.000000e+00, 1.000000e+01
1318, 8.000000e+00, 9.000000e+00, 1.000000e+01
1319, 9.000000e+00, 9.000000e+00, 1.000000e+01
1320, 1.000000e+01, 9.000000e+00, 1.000000e+01
1321, 0.000000e+00, 1.000000e+01, 1.000000e+01
1322, 1.000000e+00, 1.000000e+01, 1.000000e+01
1323, 2.000000e+00, 1.000000e+01, 1.000000e+01
1324, 3.000000e+00, 1.000000e+01, 1.000000e+01
1325, 4.000000e+00, 1.000000e+01, 1.000000e+01
1326, 5.000000e+00, 1.000000e+01, 1.000000e+01
1327, 6.000000e+00, 1.000000e+01, 1.000000e+01
1328, 7.000000e+00, 1.000000e+01, 1.000000e+01
1329, 8.000000e+00, 1.000000e+01, 1.000000e+01
1330, 9.000000e+00, 1.000000e+01, 1.000000e+01
1331, 1.000000e+01, 1.000000e+01, 1.000000e+01
*Element, type=C3D8
1, 123, 2, 1, 122, 134, 13, 12, 133
2, 124, 3, 2, 123, 135, 14, 13, 134
3, 125, 4, 3, 124, 136, 15, 14, 135
4, 126, 5, 4, 125, 137, 16, 15, 136
5, 127, 6, 5, 126, 138, 17, 16, 137
6, 128, 7, 6, 127, 139, 18, 17, 138
7, 129, 8, 7, 128, 140, 19, 18, 139
8, 130, 9, 8, 129, 141, 20, 19, 140
9, 131, 10, 9, 130, 142, 21, 20, 141
10, 132, 11, 10, 131, 143, 22, 21, 142
11, 134, 13, 12, 133, 145, 24, 23, 144
12, 135, 14, 13, 134, 146, 25, 24, 145
13, 136, 15, 14, 135, 147, 26, 25, 146
14, 137, 16, 15, 136, 148, 27, 26, 147
15, 138, 17, 16, 137, 149, 28, 27, 148
16, 139, 18, 17, 138, 150, 29, 28, 149
17, 140, 19, 18, 139, 151, 30, 29, 150
18, 141, 20, 19, 140, 152, 31, 30, 151
19, 142, 21, 20, 141, 153, 32, 31, 152
20, 143, 22, 21, 142, 154, 33, 32, 153
21, 145, 24, 23, 144, 156, 35, 34, 155
22, 146, 25, 24, 145, 157, 36, 35, 156
23, 147, 26, 25, 146, 158, 37, 36, 157
24, 148, 27, 26, 147, 159, 38, 37, 158
25, 149, 28, 27, 148, 160, 39, 38, 159
26, 150, 29, 28, 149, 161, 40, 39, 160
27, 151, 30, 29, 150, 162, 41, 40, 161
28, 152, 31, 30, 151, 163, 42, 41, 162
29, 153, 32, 31, 152, 164, 43, 42, 163
30, 154, 33, 32, 153, 165, 44, 43, 164
31, 156, 35, 34, 155, 167, 46, 45, 166
32, 157, 36, 35, 156, 168, 47, 46, 167
33, 158, 37, 36, 157, 169, 48, 47, 168
34, 159, 38, 37, 158, 170, 49, 48, 169
35, 160, 39, 38, 159, 171, 50, 49, 170
36, 161, 40, 39, 160, 172, 51, 50, 171
37, 162, 41, 40, 161, 173, 52, 51, 172
38, 163, 42, 41, 162, 174, 53, 52, 173
39, 164, 43, 42, 163, 175, 54, 53, 174
40, 165, 44, 43, 164, 176, 55, 54, 175
41, 167, 46, 45, 166, 178, 57, 56, 177
42, 168, 47, 46, 167, 179, 58, 57, 178
43, 169, 48, 47, 168, 180, 59, 58, 179
44, 170, 49, 48, 169, 181, 60, 59, 180
45, 171, 50, 49, 170, 182, 61, 60, 181
46, 172, 51, 50, 171, 183, 62, 61, 182
47, 173, 52, 51, 172, 184, 63, 62, 183
48, 174, 53, 52, 173, 185, 64, 63, 184
49, 175, 54, 53, 174, 186, 65, 64, 185
50, 176, 55, 54, 175, 187, 66, 65, 186
51, 178, 57, 56, 177, 189, 68, 67, 188
52, 179, 58, 57, 178, 190, 69, 68, 189
53, 180, 59, 58, 179, 191, 70, 69, 190
54, 181, 60, 59, 180, 192, 71, 70, 191
55, 182, 61, 60, 181, 193, 72, 71, 192
56, 183, 62, 61, 182, 194, 73, 72, 193
57, 184, 63, 62, 183, 195, 74, 73, 194
58, 185, 64, 63, 184, 196, 75, 74, 195
59, 186, 65, 64, 185, 197, 76, 75, 196
60, 187, 66, 65, 186, 198, 77, 76, 197
61, 189, 68, 67, 188, 200, 79, 78, 199
62, 190, 69, 68, 189, 201, 80, 79, 200
63, 191, 70, 69, 190, 202, 81, 80, 201
64, 192, 71, 70, 191, 203, 82, 81, 202
65, 193, 72, 71, 192, 204, 83, 82, 203
66, 194, 73, 72, 193, 205, 84, 83, 204
67, 195, 74, 73, 194, 206, 85, 84, 205
68, 196, 75, 74, 195, 207, 86, 85, 206
69, 197, 76, 75, 196, 208, 87, 86, 207
70, 198, 77, 76, 197, 209, 88, 87, 208
71, 200, 79, 78, 199, 211, 90, 89, 210
72, 201, 80, 79, 200, 212, 91, 90, 211
73, 202, 81, 80, 201, 213, 92, 91, 212
74, 203, 82, 81, 202, 214, 93, 92, 213
75, 204, 83, 82, 203, 215, 94, 93, 214
76, 205, 84, 83, 204, 216, 95, 94, 215
77, 206, 85, 84, 205, 217, 96, 95, 216
78, 207, 86, 85, 206, 218, 97, 96, 217
79, 208, 87, 86, 207, 219, 98, 97, 218
80, 209, 88, 87, 208, 220, 99, 98, 219
81, 211, 90, 89, 210, 222, 101, 100, 221
82, 212, 91, 90, 211, 223, 102, 101, 222
83, 213, 92, 91, 212, 224, 103, 102, 223
84, 214, 93, 92, 213, 225, 104, 103, 224
85, 215, 94, 93, 214, 226, 105, 104, 225
86, 216, 95, 94, 215, 227, 106, 105, 226
87, 217, 96, 95, 216, 228, 107, 106, 227
88, 218, 97, 96, 217, 229, 108, 107, 228
89, 219, 98, 97, 218, 230, 109, 108, 229
90, 220, 99, 98, 219, 231, 110, 109, 230
91, 222, 101, 100, 221, 233, 112, 111, 232
92, 223, 102, 101, 222, 234, 113, 112, 233
93, 224, 103, 102, 223, 235, 114, 113, 234
94, 225, 104, 103, 224, 236, 115, 114, 235
95, 226, 105, 104, 225, 237, 116, 115, 236
96, 227, 106, 105, 226, 238, 117, 116, 237
97, 228, 107, 106, 227, 239, 118, 117, 238
98, 229, 108, 107, 228, 240, 119, 118, 239
99, 230, 109, 108, 229, 241, 120, 119, 240
100, 231, 110, 109, 230, 242, 121, 120, 241
101, 244, 123, 122, 243, 255, 134, 133, 254
102, 245, 124, 123, 244, 256, 135, 134, 255
103, 246, 125, 124, 245, 257, 136, 135, 256
104, 247, 126, 125, 246, 258, 137, 136, 257
105, 248, 127, 126, 247, 259, 138, 137, 258
106, 249, 128, 127, 248, 260, 139, 138, 259
107, 250, 129, 128, 249, 261, 140, 139, 260
108, 251, 130, 129, 250, 262, 141, 140, 261
109, 252, 131, 130, 251, 263, 142, 141, 262
110, 253, 132, 131, 252, 264, 143, 142, 263
111, 255, 134, 133, 254, 266, 145, 144, 265
112, 256, 135, 134, 255, 267, 146, 145, 266
113, 257, 136, 135, 256, 268, 147, 146, 267
114, 258, 137, 136, 257, 269, 148, 147, 268
115, 259, 138, 137, 258, 270, 149, 148, 269
116, 260, 139, 138, 259, 271, 150, 149, 270
117, 261, 140, 139, 260, 272, 151, 150, 271
118, 262, 141, 140, 261, 273, 152, 151, 272
119, 263, 142, 141, 262, 274, 153, 152, 273
120, 264, 143, 142, 263, 275, 154, 153, 274
121, 266, 145, 144, 265, 277, 156, 155, 276
122, 267, 146, 145, 266, 278, 157, 156, 277
123, 268, 147, 146, 267, 279, 158, 157, 278
124, 269, 148, 147, 268, 280, 159, 158, 279
125, 270, 149, 148, 269, 281, 160, 159, 280
126, 271, 150, 149, 270, 282, 161, 160, 281
127, 272, 151, 150, 271, 283, 162, 161, 282
128, 273, 152, 151, 272, 284, 163, 162, 283
129, 274, 153, 152, 273, 285, 164, 163, 284
130, 275, 154, 153, 274, 286, 165, 164, 285
131, 277, 156, 155, 276, 288, 167, 166, 287
132, 278, 157, 156, 277, 289, 168, 167, 288
133, 279, 158, 157, 278, 290, 169, 168, 289
134, 280, 159, 158, 279, 291, 170, 169, 290
135, 281, 160, 159, 280, 292, 171, 170, 291
136, 282, 161, 160, 281, 293, 172, 171, 292
137, 283, 162, 161, 282, 294, 173, 172, 293
138, 284, 163, 162, 283, 295, 174, 173, 294
139, 285, 164, 163, 284, 296, 175, 174, 295
140, 286, 165, 164, 285, 297, 176, 175, 296
141, 288, 167, 166, 287, 299, 178, 177, 298
142, 289, 168, 167, 288, 300, 179, 178, 299
143, 290, 169, 168, 289, 301, 180, 179, 300
144, 291, 170, 169, 290, 302, 181, 180, 301
145, 292, 171, 170, 291, 303, 182, 181, 302
146, 293, 172, 171, 292, 304, 183, 182, 303
147, 294, 173, 172, 293, 305, 184, 183, 304
148, 295, 174, 173, 294, 306, 185, 184, 305
149, 296, 175, 174, 295, 307, 186, 185, 306
150, 297, 176, 175, 296, 308, 187, 186, 307
151, 299, 178, 177, 298, 310, 189, 188, 309
152, 300, 179, 178, 299, 311, 190, 189, 310
153, 301, 180, 179, 300, 312, 191, 190, 311
154, 302, 181, 180, 301, 313, 192, 191, 312
155, 303, 182, 181, 302, 314, 193, 192, 313
156, 304, 183, 182, 303, 315, 194, 193, 314
157, 305, 184, 183, 304, 316, 195, 194, 315
158, 306, 185, 184, 305, 317, 196, 195, 316
159, 307, 186, 185, 306, 318, 197, 196, 317
160, 308, 187, 186, 307, 319, 198, 197, 318
161, 310, 189, 188, 309, 321, 200, 199, 320
162, 311, 190, 189, 310, 322, 201, 200, 321
163, 312, 191, 190, 311, 323, 202, 201, 322
164, 313, 192, 191, 312, 324, 203, 202, 323
165, 314, 193, 192, 313, 325, 204, 203, 324
166, 315, 194, 193, 314, 326, 205, 204, 325
167, 316, 195, 194, 315, 327, 206, 205, 326
168, 317, 196, 195, 316, 328, 207, 206, 327
169, 318, 197, 196, 317, 329, 208, 207, 328
170, 319, 198, 197, 318, 330, 209, 208, 329
171, 321, 200, 199, 320, 332, 211, 210, 331
172, 322, 201, 200, 321, 333, 212, 211, 332
173, 323, 202, 201, 322, 334, 213, 212, 333
174, 324, 203, 202, 323, 335, 214, 213, 334
175, 325, 204, 203, 324, 336, 215, 214, 335
176, 326, 205, 204, 325, 337, 216, 215, 336
177, 327, 206, 205, 326, 338, 217, 216, 337
178, 328, 207, 206, 327, 339, 218, 217, 338
179, 329, 208, 207, 328, 340, 219, 218, 339
180, 330, 209, 208, 329, 341, 220, 219, 340
181, 332, 211, 210, 331, 343, 222, 221, 342
182, 333, 212, 211, 332, 344, 223, 222, 343
183, 334, 213, 212, 333, 345, 224, 223, 344
184, 335, 214, 213, 334, 346, 225, 224, 345
185, 336, 215, 214, 335, 347, 226, 225, 346
186, 337, 216, 215, 336, 348, 227, 226, 347
187, 338, 217, 216, 337, 349, 228, 227, 348
188, 339, 218, 217, 338, 350, 229, 228, 349
189, 340, 219, 218, 339, 351, 230, 229, 350
190, 341, 220, 219, 340, 352, 231, 230, 351
191, 343, 222, 221, 342, 354, 233, 232, 353
192, 344, 223, 222, 343, 355, 234, 233, 354
193, 345, 224, 223, 344, 356, 235, 234, 355
194, 346, 225, 224, 345, 357, 236, 235, 356
195, 347, 226, 225, 346, 358, 237, 236, 357
196, 348, 227, 226, 347, 359, 238, 237, 358
197, 349, 228, 227, 348, 360, 239, 238, 359
198, 350, 229, 228, 349, 361, 240, 239, 360
199, 351, 230, 229, 350, 362, 241, 240, 361
200, 352, 231, 230, 351, 363, 242, 241, 362
201, 365, 244, 243, 364, 376, 255, 254, 375
202, 366, 245, 244, 365, 377, 256, 255, 376
203, 367, 246, 245, 366, 378, 257, 256, 377
204, 368, 247, 246, 367, 379, 258, 257, 378
205, 369, 248, 247, 368, 380, 259, 258, 379
206, 370, 249, 248, 369, 381, 260, 259, 380
207, 371, 250, 249, 370, 382, 261, 260, 381
208, 372, 251, 250, 371, 383, 262, 261, 382
209, 373, 252, 251, 372, 384, 263, 262, 383
210, 374, 253, 252, 373, 385, 264, 263, 384
211, 376, 255, 254, 375, 387, 266, 265, 386
212, 377, 256, 255, 376, 388, 267, 266, 387
213, 378, 257, 256, 377, 389, 268, 267, 388
214, 379, 258, 257, 378, 390, 269, 268, 389
215, 380, 259, 258, 379, 391, 270, 269, 390
216, 381, 260, 259, 380, 392, 271, 270, 391
217, 382, 261, 260, 381, 393, 272, 271, 392
218, 383, 262, 261, 382, 394, 273, 272, 393
219, 384, 263, 262, 383, 395, 274, 273, 394
220, 385, 264, 263, 384, 396, 275, 274, 395
221, 387, 266, 265, 386, 398, 277, 276, 397
222, 388, 267, 266, 387, 399, 278, 277, 398
223, 389, 268, 267, 388, 400, 279, 278, 399
224, 390, 269, 268, 389, 401, 280, 279, 400
225, 391, 270, 269, 390, 402, 281, 280, 401
226, 392, 271, 270, 391, 403, 282, 281, 402
227, 393, 272, 271, 392, 404, 283, 282, 403
228, 394, 273, 272, 393, 405, 284, 283, 404
229, 395, 274, 273, 394, 406, 285, 284, 405
230, 396, 275, 274, 395, 407, 286, 285, 406
231, 398, 277, 276, 397, 409, 288, 287, 408
232, 399, 278, 277, 398, 410, 289, 288, 409
233, 400, 279, 278, 399, 411, 290, 289, 410
234, 401, 280, 279, 400, 412, 291, 290, 411
235, 402, 281, 280, 401, 413, 292, 291, 412
236, 403, 282, 281, 402, 414, 293, 292, 413
237, 404, 283, 282, 403, 415, 294, 293, 414
238, 405, 284, 283, 404, 416, 295, 294, 415
239, 406, 285, 284, 405, 417, 296, 295, 416
240, 407, 286, 285, 406, 418, 297, 296, 417
241, 409, 288, 287, 408, 420, 299, 298, 419
242, 410, 289, 288, 409, 421, 300, 299, 420
243, 411, 290, 289, 410, 422, 301, 300, 421
244, 412, 291, 290, 411, 423, 302, 301, 422
245, 413, 292, 291, 412, 424, 303, 302, 423
246, 414, 293, 292, 413, 425, 304, 303, 424
247, 415, 294, 293, 414, 426, 305, 304, 425
248, 416, 295, 294, 415, 427, 306, 305, 426
249, 417, 296, 295, 416, 428, 307, 306, 427
250, 418, 297, 296, 417, 429, 308, 307, 428
251, 420, 299, 298, 419, 431, 310, 309, 430
252, 421, 300, 299, 420, 432, 311, 310, 431
253, 422, 301, 300, 421, 433, 312, 311, 432
254, 423, 302, 301, 422, 434, 313, 312, 433
255, 424, 303, 302, 423, 435, 314, 313, 434
256, 425, 304, 303, 424, 436, 315, 314, 435
257, 426, 305, 304, 425, 437, 316, 315, 436
258, 427, 306, 305, 426, 438, 317, 316, 437
259, 428, 307, 306, 427, 439, 318, 317, 438
260, 429, 308, 307, 428, 440, 319, 318, 439
261, 431, 310, 309, 430, 442, 321, 320, 441
262, 432, 311, 310, 431, 443, 322, 321, 442
263, 433, 312, 311, 432, 444, 323, 322, 443
264, 434, 313, 312, 433, 445, 324, 323, 444
265, 435, 314, 313, 434, 446, 325, 324, 445
266, 436, 315, 314, 435, 447, 326, 325, 446
267, 437, 316, 315, 436, 448, 327, 326, 447
268, 438, 317, 316, 437, 449, 328, 327, 448
269, 439, 318, 317, 438, 450, 329, 328, 449
270, 440, 319, 318, 439, 451, 330, 329, 450
271, 442, 321, 320, 441, 453, 332, 331, 452
272, 443, 322, 321, 442, 454, 333, 332, 453
273, 444, 323, 322, 443, 455, 334, 333, 454
274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
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131.57, 106.934, 219.914, 1, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
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0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=300
207.046, 89.158, 335.024, 2, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=300
178.061, 37.773, 321.494, 3, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 1, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=300
234.272, 107.927, 232.783, 4, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 1, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=300
131.024, 82.927, 261.214, 5, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 1, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=300
123.609, 63.988, 170.189, 6, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 1, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=300
78.282, 94.024, 208.666, 7, 2, 1, 2, 12
6, 0, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
16, 16, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0,
**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.01, 10., 1e-05, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase.vox
================================================
234.272 107.927 232.783 1 1 1 4 1
234.272 107.927 232.783 2 1 1 4 1
234.272 107.927 232.783 3 1 1 4 1
234.272 107.927 232.783 4 1 1 4 1
234.272 107.927 232.783 5 1 1 4 1
131.024 82.927 261.214 6 1 1 5 1
131.024 82.927 261.214 7 1 1 5 1
131.024 82.927 261.214 8 1 1 5 1
131.024 82.927 261.214 9 1 1 5 1
131.024 82.927 261.214 10 1 1 5 1
234.272 107.927 232.783 1 2 1 4 1
234.272 107.927 232.783 2 2 1 4 1
234.272 107.927 232.783 3 2 1 4 1
234.272 107.927 232.783 4 2 1 4 1
234.272 107.927 232.783 5 2 1 4 1
131.024 82.927 261.214 6 2 1 5 1
131.024 82.927 261.214 7 2 1 5 1
131.024 82.927 261.214 8 2 1 5 1
131.024 82.927 261.214 9 2 1 5 1
131.024 82.927 261.214 10 2 1 5 1
234.272 107.927 232.783 1 3 1 4 1
234.272 107.927 232.783 2 3 1 4 1
234.272 107.927 232.783 3 3 1 4 1
234.272 107.927 232.783 4 3 1 4 1
234.272 107.927 232.783 5 3 1 4 1
131.024 82.927 261.214 6 3 1 5 1
131.024 82.927 261.214 7 3 1 5 1
131.024 82.927 261.214 8 3 1 5 1
131.024 82.927 261.214 9 3 1 5 1
131.024 82.927 261.214 10 3 1 5 1
234.272 107.927 232.783 1 4 1 4 1
234.272 107.927 232.783 2 4 1 4 1
234.272 107.927 232.783 3 4 1 4 1
234.272 107.927 232.783 4 4 1 4 1
207.046 89.158 335.024 5 4 1 2 1
207.046 89.158 335.024 6 4 1 2 1
207.046 89.158 335.024 7 4 1 2 1
131.024 82.927 261.214 8 4 1 5 1
131.024 82.927 261.214 9 4 1 5 1
131.024 82.927 261.214 10 4 1 5 1
78.282 94.024 208.666 1 5 1 7 1
234.272 107.927 232.783 2 5 1 4 1
234.272 107.927 232.783 3 5 1 4 1
207.046 89.158 335.024 4 5 1 2 1
207.046 89.158 335.024 5 5 1 2 1
207.046 89.158 335.024 6 5 1 2 1
207.046 89.158 335.024 7 5 1 2 1
207.046 89.158 335.024 8 5 1 2 1
131.024 82.927 261.214 9 5 1 5 1
131.024 82.927 261.214 10 5 1 5 1
78.282 94.024 208.666 1 6 1 7 1
78.282 94.024 208.666 2 6 1 7 1
78.282 94.024 208.666 3 6 1 7 1
207.046 89.158 335.024 4 6 1 2 1
207.046 89.158 335.024 5 6 1 2 1
207.046 89.158 335.024 6 6 1 2 1
207.046 89.158 335.024 7 6 1 2 1
207.046 89.158 335.024 8 6 1 2 1
207.046 89.158 335.024 9 6 1 2 1
207.046 89.158 335.024 10 6 1 2 1
78.282 94.024 208.666 1 7 1 7 1
78.282 94.024 208.666 2 7 1 7 1
78.282 94.024 208.666 3 7 1 7 1
207.046 89.158 335.024 4 7 1 2 1
207.046 89.158 335.024 5 7 1 2 1
207.046 89.158 335.024 6 7 1 2 1
207.046 89.158 335.024 7 7 1 2 1
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================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_elems.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
*Element, type=C3D8
1, 123, 2, 1, 122, 134, 13, 12, 133
2, 124, 3, 2, 123, 135, 14, 13, 134
3, 125, 4, 3, 124, 136, 15, 14, 135
4, 126, 5, 4, 125, 137, 16, 15, 136
5, 127, 6, 5, 126, 138, 17, 16, 137
6, 128, 7, 6, 127, 139, 18, 17, 138
7, 129, 8, 7, 128, 140, 19, 18, 139
8, 130, 9, 8, 129, 141, 20, 19, 140
9, 131, 10, 9, 130, 142, 21, 20, 141
10, 132, 11, 10, 131, 143, 22, 21, 142
11, 134, 13, 12, 133, 145, 24, 23, 144
12, 135, 14, 13, 134, 146, 25, 24, 145
13, 136, 15, 14, 135, 147, 26, 25, 146
14, 137, 16, 15, 136, 148, 27, 26, 147
15, 138, 17, 16, 137, 149, 28, 27, 148
16, 139, 18, 17, 138, 150, 29, 28, 149
17, 140, 19, 18, 139, 151, 30, 29, 150
18, 141, 20, 19, 140, 152, 31, 30, 151
19, 142, 21, 20, 141, 153, 32, 31, 152
20, 143, 22, 21, 142, 154, 33, 32, 153
21, 145, 24, 23, 144, 156, 35, 34, 155
22, 146, 25, 24, 145, 157, 36, 35, 156
23, 147, 26, 25, 146, 158, 37, 36, 157
24, 148, 27, 26, 147, 159, 38, 37, 158
25, 149, 28, 27, 148, 160, 39, 38, 159
26, 150, 29, 28, 149, 161, 40, 39, 160
27, 151, 30, 29, 150, 162, 41, 40, 161
28, 152, 31, 30, 151, 163, 42, 41, 162
29, 153, 32, 31, 152, 164, 43, 42, 163
30, 154, 33, 32, 153, 165, 44, 43, 164
31, 156, 35, 34, 155, 167, 46, 45, 166
32, 157, 36, 35, 156, 168, 47, 46, 167
33, 158, 37, 36, 157, 169, 48, 47, 168
34, 159, 38, 37, 158, 170, 49, 48, 169
35, 160, 39, 38, 159, 171, 50, 49, 170
36, 161, 40, 39, 160, 172, 51, 50, 171
37, 162, 41, 40, 161, 173, 52, 51, 172
38, 163, 42, 41, 162, 174, 53, 52, 173
39, 164, 43, 42, 163, 175, 54, 53, 174
40, 165, 44, 43, 164, 176, 55, 54, 175
41, 167, 46, 45, 166, 178, 57, 56, 177
42, 168, 47, 46, 167, 179, 58, 57, 178
43, 169, 48, 47, 168, 180, 59, 58, 179
44, 170, 49, 48, 169, 181, 60, 59, 180
45, 171, 50, 49, 170, 182, 61, 60, 181
46, 172, 51, 50, 171, 183, 62, 61, 182
47, 173, 52, 51, 172, 184, 63, 62, 183
48, 174, 53, 52, 173, 185, 64, 63, 184
49, 175, 54, 53, 174, 186, 65, 64, 185
50, 176, 55, 54, 175, 187, 66, 65, 186
51, 178, 57, 56, 177, 189, 68, 67, 188
52, 179, 58, 57, 178, 190, 69, 68, 189
53, 180, 59, 58, 179, 191, 70, 69, 190
54, 181, 60, 59, 180, 192, 71, 70, 191
55, 182, 61, 60, 181, 193, 72, 71, 192
56, 183, 62, 61, 182, 194, 73, 72, 193
57, 184, 63, 62, 183, 195, 74, 73, 194
58, 185, 64, 63, 184, 196, 75, 74, 195
59, 186, 65, 64, 185, 197, 76, 75, 196
60, 187, 66, 65, 186, 198, 77, 76, 197
61, 189, 68, 67, 188, 200, 79, 78, 199
62, 190, 69, 68, 189, 201, 80, 79, 200
63, 191, 70, 69, 190, 202, 81, 80, 201
64, 192, 71, 70, 191, 203, 82, 81, 202
65, 193, 72, 71, 192, 204, 83, 82, 203
66, 194, 73, 72, 193, 205, 84, 83, 204
67, 195, 74, 73, 194, 206, 85, 84, 205
68, 196, 75, 74, 195, 207, 86, 85, 206
69, 197, 76, 75, 196, 208, 87, 86, 207
70, 198, 77, 76, 197, 209, 88, 87, 208
71, 200, 79, 78, 199, 211, 90, 89, 210
72, 201, 80, 79, 200, 212, 91, 90, 211
73, 202, 81, 80, 201, 213, 92, 91, 212
74, 203, 82, 81, 202, 214, 93, 92, 213
75, 204, 83, 82, 203, 215, 94, 93, 214
76, 205, 84, 83, 204, 216, 95, 94, 215
77, 206, 85, 84, 205, 217, 96, 95, 216
78, 207, 86, 85, 206, 218, 97, 96, 217
79, 208, 87, 86, 207, 219, 98, 97, 218
80, 209, 88, 87, 208, 220, 99, 98, 219
81, 211, 90, 89, 210, 222, 101, 100, 221
82, 212, 91, 90, 211, 223, 102, 101, 222
83, 213, 92, 91, 212, 224, 103, 102, 223
84, 214, 93, 92, 213, 225, 104, 103, 224
85, 215, 94, 93, 214, 226, 105, 104, 225
86, 216, 95, 94, 215, 227, 106, 105, 226
87, 217, 96, 95, 216, 228, 107, 106, 227
88, 218, 97, 96, 217, 229, 108, 107, 228
89, 219, 98, 97, 218, 230, 109, 108, 229
90, 220, 99, 98, 219, 231, 110, 109, 230
91, 222, 101, 100, 221, 233, 112, 111, 232
92, 223, 102, 101, 222, 234, 113, 112, 233
93, 224, 103, 102, 223, 235, 114, 113, 234
94, 225, 104, 103, 224, 236, 115, 114, 235
95, 226, 105, 104, 225, 237, 116, 115, 236
96, 227, 106, 105, 226, 238, 117, 116, 237
97, 228, 107, 106, 227, 239, 118, 117, 238
98, 229, 108, 107, 228, 240, 119, 118, 239
99, 230, 109, 108, 229, 241, 120, 119, 240
100, 231, 110, 109, 230, 242, 121, 120, 241
101, 244, 123, 122, 243, 255, 134, 133, 254
102, 245, 124, 123, 244, 256, 135, 134, 255
103, 246, 125, 124, 245, 257, 136, 135, 256
104, 247, 126, 125, 246, 258, 137, 136, 257
105, 248, 127, 126, 247, 259, 138, 137, 258
106, 249, 128, 127, 248, 260, 139, 138, 259
107, 250, 129, 128, 249, 261, 140, 139, 260
108, 251, 130, 129, 250, 262, 141, 140, 261
109, 252, 131, 130, 251, 263, 142, 141, 262
110, 253, 132, 131, 252, 264, 143, 142, 263
111, 255, 134, 133, 254, 266, 145, 144, 265
112, 256, 135, 134, 255, 267, 146, 145, 266
113, 257, 136, 135, 256, 268, 147, 146, 267
114, 258, 137, 136, 257, 269, 148, 147, 268
115, 259, 138, 137, 258, 270, 149, 148, 269
116, 260, 139, 138, 259, 271, 150, 149, 270
117, 261, 140, 139, 260, 272, 151, 150, 271
118, 262, 141, 140, 261, 273, 152, 151, 272
119, 263, 142, 141, 262, 274, 153, 152, 273
120, 264, 143, 142, 263, 275, 154, 153, 274
121, 266, 145, 144, 265, 277, 156, 155, 276
122, 267, 146, 145, 266, 278, 157, 156, 277
123, 268, 147, 146, 267, 279, 158, 157, 278
124, 269, 148, 147, 268, 280, 159, 158, 279
125, 270, 149, 148, 269, 281, 160, 159, 280
126, 271, 150, 149, 270, 282, 161, 160, 281
127, 272, 151, 150, 271, 283, 162, 161, 282
128, 273, 152, 151, 272, 284, 163, 162, 283
129, 274, 153, 152, 273, 285, 164, 163, 284
130, 275, 154, 153, 274, 286, 165, 164, 285
131, 277, 156, 155, 276, 288, 167, 166, 287
132, 278, 157, 156, 277, 289, 168, 167, 288
133, 279, 158, 157, 278, 290, 169, 168, 289
134, 280, 159, 158, 279, 291, 170, 169, 290
135, 281, 160, 159, 280, 292, 171, 170, 291
136, 282, 161, 160, 281, 293, 172, 171, 292
137, 283, 162, 161, 282, 294, 173, 172, 293
138, 284, 163, 162, 283, 295, 174, 173, 294
139, 285, 164, 163, 284, 296, 175, 174, 295
140, 286, 165, 164, 285, 297, 176, 175, 296
141, 288, 167, 166, 287, 299, 178, 177, 298
142, 289, 168, 167, 288, 300, 179, 178, 299
143, 290, 169, 168, 289, 301, 180, 179, 300
144, 291, 170, 169, 290, 302, 181, 180, 301
145, 292, 171, 170, 291, 303, 182, 181, 302
146, 293, 172, 171, 292, 304, 183, 182, 303
147, 294, 173, 172, 293, 305, 184, 183, 304
148, 295, 174, 173, 294, 306, 185, 184, 305
149, 296, 175, 174, 295, 307, 186, 185, 306
150, 297, 176, 175, 296, 308, 187, 186, 307
151, 299, 178, 177, 298, 310, 189, 188, 309
152, 300, 179, 178, 299, 311, 190, 189, 310
153, 301, 180, 179, 300, 312, 191, 190, 311
154, 302, 181, 180, 301, 313, 192, 191, 312
155, 303, 182, 181, 302, 314, 193, 192, 313
156, 304, 183, 182, 303, 315, 194, 193, 314
157, 305, 184, 183, 304, 316, 195, 194, 315
158, 306, 185, 184, 305, 317, 196, 195, 316
159, 307, 186, 185, 306, 318, 197, 196, 317
160, 308, 187, 186, 307, 319, 198, 197, 318
161, 310, 189, 188, 309, 321, 200, 199, 320
162, 311, 190, 189, 310, 322, 201, 200, 321
163, 312, 191, 190, 311, 323, 202, 201, 322
164, 313, 192, 191, 312, 324, 203, 202, 323
165, 314, 193, 192, 313, 325, 204, 203, 324
166, 315, 194, 193, 314, 326, 205, 204, 325
167, 316, 195, 194, 315, 327, 206, 205, 326
168, 317, 196, 195, 316, 328, 207, 206, 327
169, 318, 197, 196, 317, 329, 208, 207, 328
170, 319, 198, 197, 318, 330, 209, 208, 329
171, 321, 200, 199, 320, 332, 211, 210, 331
172, 322, 201, 200, 321, 333, 212, 211, 332
173, 323, 202, 201, 322, 334, 213, 212, 333
174, 324, 203, 202, 323, 335, 214, 213, 334
175, 325, 204, 203, 324, 336, 215, 214, 335
176, 326, 205, 204, 325, 337, 216, 215, 336
177, 327, 206, 205, 326, 338, 217, 216, 337
178, 328, 207, 206, 327, 339, 218, 217, 338
179, 329, 208, 207, 328, 340, 219, 218, 339
180, 330, 209, 208, 329, 341, 220, 219, 340
181, 332, 211, 210, 331, 343, 222, 221, 342
182, 333, 212, 211, 332, 344, 223, 222, 343
183, 334, 213, 212, 333, 345, 224, 223, 344
184, 335, 214, 213, 334, 346, 225, 224, 345
185, 336, 215, 214, 335, 347, 226, 225, 346
186, 337, 216, 215, 336, 348, 227, 226, 347
187, 338, 217, 216, 337, 349, 228, 227, 348
188, 339, 218, 217, 338, 350, 229, 228, 349
189, 340, 219, 218, 339, 351, 230, 229, 350
190, 341, 220, 219, 340, 352, 231, 230, 351
191, 343, 222, 221, 342, 354, 233, 232, 353
192, 344, 223, 222, 343, 355, 234, 233, 354
193, 345, 224, 223, 344, 356, 235, 234, 355
194, 346, 225, 224, 345, 357, 236, 235, 356
195, 347, 226, 225, 346, 358, 237, 236, 357
196, 348, 227, 226, 347, 359, 238, 237, 358
197, 349, 228, 227, 348, 360, 239, 238, 359
198, 350, 229, 228, 349, 361, 240, 239, 360
199, 351, 230, 229, 350, 362, 241, 240, 361
200, 352, 231, 230, 351, 363, 242, 241, 362
201, 365, 244, 243, 364, 376, 255, 254, 375
202, 366, 245, 244, 365, 377, 256, 255, 376
203, 367, 246, 245, 366, 378, 257, 256, 377
204, 368, 247, 246, 367, 379, 258, 257, 378
205, 369, 248, 247, 368, 380, 259, 258, 379
206, 370, 249, 248, 369, 381, 260, 259, 380
207, 371, 250, 249, 370, 382, 261, 260, 381
208, 372, 251, 250, 371, 383, 262, 261, 382
209, 373, 252, 251, 372, 384, 263, 262, 383
210, 374, 253, 252, 373, 385, 264, 263, 384
211, 376, 255, 254, 375, 387, 266, 265, 386
212, 377, 256, 255, 376, 388, 267, 266, 387
213, 378, 257, 256, 377, 389, 268, 267, 388
214, 379, 258, 257, 378, 390, 269, 268, 389
215, 380, 259, 258, 379, 391, 270, 269, 390
216, 381, 260, 259, 380, 392, 271, 270, 391
217, 382, 261, 260, 381, 393, 272, 271, 392
218, 383, 262, 261, 382, 394, 273, 272, 393
219, 384, 263, 262, 383, 395, 274, 273, 394
220, 385, 264, 263, 384, 396, 275, 274, 395
221, 387, 266, 265, 386, 398, 277, 276, 397
222, 388, 267, 266, 387, 399, 278, 277, 398
223, 389, 268, 267, 388, 400, 279, 278, 399
224, 390, 269, 268, 389, 401, 280, 279, 400
225, 391, 270, 269, 390, 402, 281, 280, 401
226, 392, 271, 270, 391, 403, 282, 281, 402
227, 393, 272, 271, 392, 404, 283, 282, 403
228, 394, 273, 272, 393, 405, 284, 283, 404
229, 395, 274, 273, 394, 406, 285, 284, 405
230, 396, 275, 274, 395, 407, 286, 285, 406
231, 398, 277, 276, 397, 409, 288, 287, 408
232, 399, 278, 277, 398, 410, 289, 288, 409
233, 400, 279, 278, 399, 411, 290, 289, 410
234, 401, 280, 279, 400, 412, 291, 290, 411
235, 402, 281, 280, 401, 413, 292, 291, 412
236, 403, 282, 281, 402, 414, 293, 292, 413
237, 404, 283, 282, 403, 415, 294, 293, 414
238, 405, 284, 283, 404, 416, 295, 294, 415
239, 406, 285, 284, 405, 417, 296, 295, 416
240, 407, 286, 285, 406, 418, 297, 296, 417
241, 409, 288, 287, 408, 420, 299, 298, 419
242, 410, 289, 288, 409, 421, 300, 299, 420
243, 411, 290, 289, 410, 422, 301, 300, 421
244, 412, 291, 290, 411, 423, 302, 301, 422
245, 413, 292, 291, 412, 424, 303, 302, 423
246, 414, 293, 292, 413, 425, 304, 303, 424
247, 415, 294, 293, 414, 426, 305, 304, 425
248, 416, 295, 294, 415, 427, 306, 305, 426
249, 417, 296, 295, 416, 428, 307, 306, 427
250, 418, 297, 296, 417, 429, 308, 307, 428
251, 420, 299, 298, 419, 431, 310, 309, 430
252, 421, 300, 299, 420, 432, 311, 310, 431
253, 422, 301, 300, 421, 433, 312, 311, 432
254, 423, 302, 301, 422, 434, 313, 312, 433
255, 424, 303, 302, 423, 435, 314, 313, 434
256, 425, 304, 303, 424, 436, 315, 314, 435
257, 426, 305, 304, 425, 437, 316, 315, 436
258, 427, 306, 305, 426, 438, 317, 316, 437
259, 428, 307, 306, 427, 439, 318, 317, 438
260, 429, 308, 307, 428, 440, 319, 318, 439
261, 431, 310, 309, 430, 442, 321, 320, 441
262, 432, 311, 310, 431, 443, 322, 321, 442
263, 433, 312, 311, 432, 444, 323, 322, 443
264, 434, 313, 312, 433, 445, 324, 323, 444
265, 435, 314, 313, 434, 446, 325, 324, 445
266, 436, 315, 314, 435, 447, 326, 325, 446
267, 437, 316, 315, 436, 448, 327, 326, 447
268, 438, 317, 316, 437, 449, 328, 327, 448
269, 439, 318, 317, 438, 450, 329, 328, 449
270, 440, 319, 318, 439, 451, 330, 329, 450
271, 442, 321, 320, 441, 453, 332, 331, 452
272, 443, 322, 321, 442, 454, 333, 332, 453
273, 444, 323, 322, 443, 455, 334, 333, 454
274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_elset.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
** The element sets
*Elset, elset=cube, generate
1, 1000, 1
**
** Each Grain is made up of multiple elements
**
*Elset, elset=Grain1_set
505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618,
624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712,
713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729,
730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809,
810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825,
826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847,
848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914,
915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930,
931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949,
950
*Elset, elset=Grain2_set
35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64,
65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85,
86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145,
146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169,
170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194,
195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259,
264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285,
286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356,
357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386,
387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477
*Elset, elset=Grain3_set
193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453,
454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492,
493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554,
555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576,
577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632,
633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657,
661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682,
683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741,
742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763,
764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785,
786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851,
852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873,
874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895,
896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964,
965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986,
987, 991, 992, 993, 994, 995, 996, 997
*Elset, elset=Grain4_set
1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31,
32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121,
122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211,
212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303,
304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401,
402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433,
434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533,
601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721
*Elset, elset=Grain5_set
6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38,
39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 120, 126, 127,
128, 129, 130, 136, 137, 138, 139, 140, 149, 150, 206, 207, 208, 209, 210, 216,
217, 218, 219, 220, 226, 227, 228, 229, 230, 235, 236, 237, 238, 239, 240, 248,
249, 250, 260, 306, 307, 308, 309, 310, 316, 317, 318, 319, 320, 325, 326, 327,
328, 329, 330, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 360, 406, 407,
408, 409, 410, 416, 417, 418, 419, 420, 425, 426, 427, 428, 429, 430, 435, 436,
437, 438, 439, 440, 447, 448, 449, 450, 507, 508, 509, 510, 517, 518, 519, 520,
525, 526, 527, 528, 529, 530, 536, 537, 538, 539, 540, 547, 548, 549, 550, 610,
619, 620, 628, 629, 630, 637, 638, 639, 640, 648, 740
*Elset, elset=Grain6_set
300, 370, 380, 389, 390, 398, 399, 400, 460, 469, 470, 478, 479, 480, 487, 488,
489, 490, 497, 498, 499, 500, 558, 559, 560, 568, 569, 570, 578, 579, 580, 588,
589, 590, 597, 598, 599, 600, 649, 650, 658, 659, 660, 668, 669, 670, 678, 679,
680, 688, 689, 690, 698, 699, 700, 748, 749, 750, 758, 759, 760, 768, 769, 770,
778, 779, 780, 788, 789, 790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870,
878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978,
979, 980, 988, 989, 990, 998, 999, 1000
*Elset, elset=Grain7_set
41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151,
152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243,
251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342,
343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452,
461, 462, 471, 472
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_nodes.inp
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** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
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1023, 10.000000, 4.000000, 8.000000
1024, 0.000000, 5.000000, 8.000000
1025, 1.000000, 5.000000, 8.000000
1026, 2.000000, 5.000000, 8.000000
1027, 3.000000, 5.000000, 8.000000
1028, 4.000000, 5.000000, 8.000000
1029, 5.000000, 5.000000, 8.000000
1030, 6.000000, 5.000000, 8.000000
1031, 7.000000, 5.000000, 8.000000
1032, 8.000000, 5.000000, 8.000000
1033, 9.000000, 5.000000, 8.000000
1034, 10.000000, 5.000000, 8.000000
1035, 0.000000, 6.000000, 8.000000
1036, 1.000000, 6.000000, 8.000000
1037, 2.000000, 6.000000, 8.000000
1038, 3.000000, 6.000000, 8.000000
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1040, 5.000000, 6.000000, 8.000000
1041, 6.000000, 6.000000, 8.000000
1042, 7.000000, 6.000000, 8.000000
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1045, 10.000000, 6.000000, 8.000000
1046, 0.000000, 7.000000, 8.000000
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1052, 6.000000, 7.000000, 8.000000
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1059, 2.000000, 8.000000, 8.000000
1060, 3.000000, 8.000000, 8.000000
1061, 4.000000, 8.000000, 8.000000
1062, 5.000000, 8.000000, 8.000000
1063, 6.000000, 8.000000, 8.000000
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1070, 2.000000, 9.000000, 8.000000
1071, 3.000000, 9.000000, 8.000000
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1073, 5.000000, 9.000000, 8.000000
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1075, 7.000000, 9.000000, 8.000000
1076, 8.000000, 9.000000, 8.000000
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1078, 10.000000, 9.000000, 8.000000
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1080, 1.000000, 10.000000, 8.000000
1081, 2.000000, 10.000000, 8.000000
1082, 3.000000, 10.000000, 8.000000
1083, 4.000000, 10.000000, 8.000000
1084, 5.000000, 10.000000, 8.000000
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1092, 2.000000, 0.000000, 9.000000
1093, 3.000000, 0.000000, 9.000000
1094, 4.000000, 0.000000, 9.000000
1095, 5.000000, 0.000000, 9.000000
1096, 6.000000, 0.000000, 9.000000
1097, 7.000000, 0.000000, 9.000000
1098, 8.000000, 0.000000, 9.000000
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1100, 10.000000, 0.000000, 9.000000
1101, 0.000000, 1.000000, 9.000000
1102, 1.000000, 1.000000, 9.000000
1103, 2.000000, 1.000000, 9.000000
1104, 3.000000, 1.000000, 9.000000
1105, 4.000000, 1.000000, 9.000000
1106, 5.000000, 1.000000, 9.000000
1107, 6.000000, 1.000000, 9.000000
1108, 7.000000, 1.000000, 9.000000
1109, 8.000000, 1.000000, 9.000000
1110, 9.000000, 1.000000, 9.000000
1111, 10.000000, 1.000000, 9.000000
1112, 0.000000, 2.000000, 9.000000
1113, 1.000000, 2.000000, 9.000000
1114, 2.000000, 2.000000, 9.000000
1115, 3.000000, 2.000000, 9.000000
1116, 4.000000, 2.000000, 9.000000
1117, 5.000000, 2.000000, 9.000000
1118, 6.000000, 2.000000, 9.000000
1119, 7.000000, 2.000000, 9.000000
1120, 8.000000, 2.000000, 9.000000
1121, 9.000000, 2.000000, 9.000000
1122, 10.000000, 2.000000, 9.000000
1123, 0.000000, 3.000000, 9.000000
1124, 1.000000, 3.000000, 9.000000
1125, 2.000000, 3.000000, 9.000000
1126, 3.000000, 3.000000, 9.000000
1127, 4.000000, 3.000000, 9.000000
1128, 5.000000, 3.000000, 9.000000
1129, 6.000000, 3.000000, 9.000000
1130, 7.000000, 3.000000, 9.000000
1131, 8.000000, 3.000000, 9.000000
1132, 9.000000, 3.000000, 9.000000
1133, 10.000000, 3.000000, 9.000000
1134, 0.000000, 4.000000, 9.000000
1135, 1.000000, 4.000000, 9.000000
1136, 2.000000, 4.000000, 9.000000
1137, 3.000000, 4.000000, 9.000000
1138, 4.000000, 4.000000, 9.000000
1139, 5.000000, 4.000000, 9.000000
1140, 6.000000, 4.000000, 9.000000
1141, 7.000000, 4.000000, 9.000000
1142, 8.000000, 4.000000, 9.000000
1143, 9.000000, 4.000000, 9.000000
1144, 10.000000, 4.000000, 9.000000
1145, 0.000000, 5.000000, 9.000000
1146, 1.000000, 5.000000, 9.000000
1147, 2.000000, 5.000000, 9.000000
1148, 3.000000, 5.000000, 9.000000
1149, 4.000000, 5.000000, 9.000000
1150, 5.000000, 5.000000, 9.000000
1151, 6.000000, 5.000000, 9.000000
1152, 7.000000, 5.000000, 9.000000
1153, 8.000000, 5.000000, 9.000000
1154, 9.000000, 5.000000, 9.000000
1155, 10.000000, 5.000000, 9.000000
1156, 0.000000, 6.000000, 9.000000
1157, 1.000000, 6.000000, 9.000000
1158, 2.000000, 6.000000, 9.000000
1159, 3.000000, 6.000000, 9.000000
1160, 4.000000, 6.000000, 9.000000
1161, 5.000000, 6.000000, 9.000000
1162, 6.000000, 6.000000, 9.000000
1163, 7.000000, 6.000000, 9.000000
1164, 8.000000, 6.000000, 9.000000
1165, 9.000000, 6.000000, 9.000000
1166, 10.000000, 6.000000, 9.000000
1167, 0.000000, 7.000000, 9.000000
1168, 1.000000, 7.000000, 9.000000
1169, 2.000000, 7.000000, 9.000000
1170, 3.000000, 7.000000, 9.000000
1171, 4.000000, 7.000000, 9.000000
1172, 5.000000, 7.000000, 9.000000
1173, 6.000000, 7.000000, 9.000000
1174, 7.000000, 7.000000, 9.000000
1175, 8.000000, 7.000000, 9.000000
1176, 9.000000, 7.000000, 9.000000
1177, 10.000000, 7.000000, 9.000000
1178, 0.000000, 8.000000, 9.000000
1179, 1.000000, 8.000000, 9.000000
1180, 2.000000, 8.000000, 9.000000
1181, 3.000000, 8.000000, 9.000000
1182, 4.000000, 8.000000, 9.000000
1183, 5.000000, 8.000000, 9.000000
1184, 6.000000, 8.000000, 9.000000
1185, 7.000000, 8.000000, 9.000000
1186, 8.000000, 8.000000, 9.000000
1187, 9.000000, 8.000000, 9.000000
1188, 10.000000, 8.000000, 9.000000
1189, 0.000000, 9.000000, 9.000000
1190, 1.000000, 9.000000, 9.000000
1191, 2.000000, 9.000000, 9.000000
1192, 3.000000, 9.000000, 9.000000
1193, 4.000000, 9.000000, 9.000000
1194, 5.000000, 9.000000, 9.000000
1195, 6.000000, 9.000000, 9.000000
1196, 7.000000, 9.000000, 9.000000
1197, 8.000000, 9.000000, 9.000000
1198, 9.000000, 9.000000, 9.000000
1199, 10.000000, 9.000000, 9.000000
1200, 0.000000, 10.000000, 9.000000
1201, 1.000000, 10.000000, 9.000000
1202, 2.000000, 10.000000, 9.000000
1203, 3.000000, 10.000000, 9.000000
1204, 4.000000, 10.000000, 9.000000
1205, 5.000000, 10.000000, 9.000000
1206, 6.000000, 10.000000, 9.000000
1207, 7.000000, 10.000000, 9.000000
1208, 8.000000, 10.000000, 9.000000
1209, 9.000000, 10.000000, 9.000000
1210, 10.000000, 10.000000, 9.000000
1211, 0.000000, 0.000000, 10.000000
1212, 1.000000, 0.000000, 10.000000
1213, 2.000000, 0.000000, 10.000000
1214, 3.000000, 0.000000, 10.000000
1215, 4.000000, 0.000000, 10.000000
1216, 5.000000, 0.000000, 10.000000
1217, 6.000000, 0.000000, 10.000000
1218, 7.000000, 0.000000, 10.000000
1219, 8.000000, 0.000000, 10.000000
1220, 9.000000, 0.000000, 10.000000
1221, 10.000000, 0.000000, 10.000000
1222, 0.000000, 1.000000, 10.000000
1223, 1.000000, 1.000000, 10.000000
1224, 2.000000, 1.000000, 10.000000
1225, 3.000000, 1.000000, 10.000000
1226, 4.000000, 1.000000, 10.000000
1227, 5.000000, 1.000000, 10.000000
1228, 6.000000, 1.000000, 10.000000
1229, 7.000000, 1.000000, 10.000000
1230, 8.000000, 1.000000, 10.000000
1231, 9.000000, 1.000000, 10.000000
1232, 10.000000, 1.000000, 10.000000
1233, 0.000000, 2.000000, 10.000000
1234, 1.000000, 2.000000, 10.000000
1235, 2.000000, 2.000000, 10.000000
1236, 3.000000, 2.000000, 10.000000
1237, 4.000000, 2.000000, 10.000000
1238, 5.000000, 2.000000, 10.000000
1239, 6.000000, 2.000000, 10.000000
1240, 7.000000, 2.000000, 10.000000
1241, 8.000000, 2.000000, 10.000000
1242, 9.000000, 2.000000, 10.000000
1243, 10.000000, 2.000000, 10.000000
1244, 0.000000, 3.000000, 10.000000
1245, 1.000000, 3.000000, 10.000000
1246, 2.000000, 3.000000, 10.000000
1247, 3.000000, 3.000000, 10.000000
1248, 4.000000, 3.000000, 10.000000
1249, 5.000000, 3.000000, 10.000000
1250, 6.000000, 3.000000, 10.000000
1251, 7.000000, 3.000000, 10.000000
1252, 8.000000, 3.000000, 10.000000
1253, 9.000000, 3.000000, 10.000000
1254, 10.000000, 3.000000, 10.000000
1255, 0.000000, 4.000000, 10.000000
1256, 1.000000, 4.000000, 10.000000
1257, 2.000000, 4.000000, 10.000000
1258, 3.000000, 4.000000, 10.000000
1259, 4.000000, 4.000000, 10.000000
1260, 5.000000, 4.000000, 10.000000
1261, 6.000000, 4.000000, 10.000000
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1263, 8.000000, 4.000000, 10.000000
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1265, 10.000000, 4.000000, 10.000000
1266, 0.000000, 5.000000, 10.000000
1267, 1.000000, 5.000000, 10.000000
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1269, 3.000000, 5.000000, 10.000000
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1271, 5.000000, 5.000000, 10.000000
1272, 6.000000, 5.000000, 10.000000
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1274, 8.000000, 5.000000, 10.000000
1275, 9.000000, 5.000000, 10.000000
1276, 10.000000, 5.000000, 10.000000
1277, 0.000000, 6.000000, 10.000000
1278, 1.000000, 6.000000, 10.000000
1279, 2.000000, 6.000000, 10.000000
1280, 3.000000, 6.000000, 10.000000
1281, 4.000000, 6.000000, 10.000000
1282, 5.000000, 6.000000, 10.000000
1283, 6.000000, 6.000000, 10.000000
1284, 7.000000, 6.000000, 10.000000
1285, 8.000000, 6.000000, 10.000000
1286, 9.000000, 6.000000, 10.000000
1287, 10.000000, 6.000000, 10.000000
1288, 0.000000, 7.000000, 10.000000
1289, 1.000000, 7.000000, 10.000000
1290, 2.000000, 7.000000, 10.000000
1291, 3.000000, 7.000000, 10.000000
1292, 4.000000, 7.000000, 10.000000
1293, 5.000000, 7.000000, 10.000000
1294, 6.000000, 7.000000, 10.000000
1295, 7.000000, 7.000000, 10.000000
1296, 8.000000, 7.000000, 10.000000
1297, 9.000000, 7.000000, 10.000000
1298, 10.000000, 7.000000, 10.000000
1299, 0.000000, 8.000000, 10.000000
1300, 1.000000, 8.000000, 10.000000
1301, 2.000000, 8.000000, 10.000000
1302, 3.000000, 8.000000, 10.000000
1303, 4.000000, 8.000000, 10.000000
1304, 5.000000, 8.000000, 10.000000
1305, 6.000000, 8.000000, 10.000000
1306, 7.000000, 8.000000, 10.000000
1307, 8.000000, 8.000000, 10.000000
1308, 9.000000, 8.000000, 10.000000
1309, 10.000000, 8.000000, 10.000000
1310, 0.000000, 9.000000, 10.000000
1311, 1.000000, 9.000000, 10.000000
1312, 2.000000, 9.000000, 10.000000
1313, 3.000000, 9.000000, 10.000000
1314, 4.000000, 9.000000, 10.000000
1315, 5.000000, 9.000000, 10.000000
1316, 6.000000, 9.000000, 10.000000
1317, 7.000000, 9.000000, 10.000000
1318, 8.000000, 9.000000, 10.000000
1319, 9.000000, 9.000000, 10.000000
1320, 10.000000, 9.000000, 10.000000
1321, 0.000000, 10.000000, 10.000000
1322, 1.000000, 10.000000, 10.000000
1323, 2.000000, 10.000000, 10.000000
1324, 3.000000, 10.000000, 10.000000
1325, 4.000000, 10.000000, 10.000000
1326, 5.000000, 10.000000, 10.000000
1327, 6.000000, 10.000000, 10.000000
1328, 7.000000, 10.000000, 10.000000
1329, 8.000000, 10.000000, 10.000000
1330, 9.000000, 10.000000, 10.000000
1331, 10.000000, 10.000000, 10.000000
999999, 0.000000, 0.000000, 0.000000
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_sects.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
** Each section is a separate grain
** Section: Grain1
*Solid Section, elset=Grain1_set, material=Grain_Mat1
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain2
*Solid Section, elset=Grain2_set, material=Grain_Mat2
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain3
*Solid Section, elset=Grain3_set, material=Grain_Mat3
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain4
*Solid Section, elset=Grain4_set, material=Grain_Mat4
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain5
*Solid Section, elset=Grain5_set, material=Grain_Mat5
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain6
*Solid Section, elset=Grain6_set, material=Grain_Mat6
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain7
*Solid Section, elset=Grain7_set, material=Grain_Mat7
*Hourglass Stiffness
250
** --------------------------------------
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2b Python/Dream3D2Abaqus.py
================================================
######################
# VERSION 3 OF DREAM 3D TO ABAQUS
#MADE BY ALVARO MARTINEZ
# DPhil student of the Oxford Engineering Department
#Any questions email to alvaro.martinezpechero@eng.ox.ac.uk
#####################
import numpy as np
import pandas as pd
def Dream3D2Abaqus(filename,matID,noDepvar):
with open(filename + '.vox', 'r') as f:
raw_data = np.genfromtxt(f, delimiter=' ')
euler = raw_data[:, :3]
xyz = raw_data[:, 3:6]
grains = raw_data[:, 6].astype(int)
phases = raw_data[:, 7].astype(int)
total_els=len(euler[:,1])
#print(total_els)
materials = np.ones(total_els, dtype=int)*matID
grain_order, grain_record = np.unique(grains, return_index=True)
phase_order = phases[grain_record]
material_order = materials[grain_record]
euler_angle1 = euler[grain_record, 0]
euler_angle2 = euler[grain_record, 1]
euler_angle3 = euler[grain_record, 2]
with open(f"{filename}_nodes.inp", "r+") as fid:
indata = fid.readlines()[4:-4]
indata = [line.strip().split(",") for line in indata]
indata = [[float(x[0]), float(x[1]), float(x[2]), float(x[3])] for x in indata]
nodes = np.array(indata)
nodes = nodes[:]
with open(filename + '_elems.inp', 'r') as f:
elem = np.genfromtxt(f, delimiter=',', skip_header=4, skip_footer=3)
#print(elem.shape)
#return euler, xyz, grain_order, phase_order, euler_angle1, euler_angle2, euler_angle3, nodes, elem
## Write the overall element and node sets to input file
# open inp file and write keywords
with open(f"{filename}.inp", 'wt') as inp_file:
inp_file.write("** Generated by: Dream3DtoAbaqus.m\n")
inp_file.write("**PARTS\n**\n")
inp_file.write("*Part, name=DREAM3D\n")
# write nodes
inp_file.write("*NODE\n")
for node in nodes:
inp_file.write(f"{int(node[0])},\t{'{:.6e}'.format(node[1])},\t{'{:.6e}'.format(node[2])},\t{'{:.6e}'.format(node[3])}\n")
#inp_file.write(f"{int(node[0])},\t{node[1]},\t{node[2]},\t{node[3]}\n")
# write elements
inp_file.write("*Element, type=C3D8\n")
for elementj in elem:
inp_file.write(f" {int(elementj[0])}, {int(elementj[1])}, {int(elementj[2])} ,{int(elementj[3])} ,{int(elementj[4])}, {int(elementj[5])} ,{int(elementj[6])} ,{int(elementj[7])} ,{int(elementj[8])}\n")
unique_grains = np.unique(grains)
numels_total=[]
inp_file.write("\n")
for ii in range(len(unique_grains)):
inp_file.write(f"*Elset, elset=GRAIN-{grain_order[ii]}\n")
grain_elements = elem[grain_order[ii]]
for ee in range(0,len(elem[grains == grain_order[ii]][:,0]),9):
inp_file.write(", ".join(str(int(e)) for e in elem[grains == grain_order[ii]][ee:ee+9,0]) + "\n")
numels = 0
for tt in range(len(grain_elements)):
numels += 1
uniPhases = np.unique(phases)
for ii in range(len(np.unique(phases))):
inp_file.write(f"\n*Elset, elset=Phase-{ii + 1}\n")
elem_for_ii = elem[phases == uniPhases[ii]]
for ee in range(0,len(elem_for_ii[:,0]),9):
inp_file.write(", ".join(str(int(e)) for e in elem_for_ii[ee:ee+9,0]) + "\n")
#for tt in range(elem_for_ii.shape[0]):
#inp_file.write(f"{elem_for_ii[tt, 0]}, {elem_for_ii[tt, 1]}, {elem_for_ii[tt, 2]}, {elem_for_ii[tt, 3]}, {elem_for_ii[tt, 4]}, {elem_for_ii[tt, 5]}, {elem_for_ii[tt, 6]}, {elem_for_ii[tt, 7]}, {elem_for_ii[tt, 8]}\n")
for ii in range(len(grain_order)):
inp_file.write("\n**Section: Section_Grain-%d\n" % grain_order[ii])
inp_file.write("*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n" % (grain_order[ii], grain_order[ii]))
inp_file.write(",\n")
# Write the closing keyword
inp_file.write("*End Part\n")
# Write the assembly information
inp_file.write("**\n**ASSEMBLY\n**\n")
inp_file.write("*Assembly, name=Assembly\n**\n")
inp_file.write("*Instance, name=DREAM3D-1, part=DREAM3D\n")
# Write the nodes
inp_file.write("*NODE\n")
for i in range(nodes.shape[0]):
inp_file.write(f"{int(nodes[i, 0])},\t{'{:.6e}'.format(nodes[i, 1])},\t{'{:.6e}'.format(nodes[i, 2])},\t{'{:.6e}'.format(nodes[i, 3])}\n")
#inp_file.write("%d, %.2f, %.2f, %.2f\n" % (i+1, nodes[i, 1], nodes[i, 2], nodes[i, 3]))
# Write the elements
inp_file.write("*Element, type=C3D8\n")
for i in range(elem.shape[0]):
inp_file.write("%d, %d, %d, %d, %d, %d, %d, %d, %d\n" % (i+1, elem[i, 1], elem[i, 2], elem[i, 3], elem[i, 4], elem[i, 5], elem[i, 6], elem[i, 7], elem[i, 8]))
inp_file.write('\n*End Instance\n')
inp_file.write('**\n')
inp_file.write('*End Assembly\n**MATERIALS\n**\n')
#import material parameters to be used in the development of materials
#for each grain.
df = pd.read_excel('PROPS.xlsx', sheet_name='Material_parameters', usecols="A", header=None)
A16 = np.array(df.iloc[0:6, :])
#print(A19)
# Flag for reading the inputs from the file or material library
# "0": material library in usermaterial.f will be used
# "1": use the material parameters in excel file
if A16[5] == 0:
A = [""] * 6
A[5] = 0 #CHANGE HERE
noPROPS = 6
# Flag for reading the inputs from the file or material library
# "0": material library in usermaterial.f will be used
# "1": use the material parameters in excel file
else:
A = [""] * 300
A[5] = 1
noPROPS = 300
for ii in range(len(grain_order)):
inp_file.write("\n*Material, name=MATERIAL-GRAIN%d" % grain_order[ii])
inp_file.write(f"\n*Depvar\n{noDepvar},")
inp_file.write(f"\n*User Material, constants={noPROPS}\n")
A[0:3] = [euler_angle1[ii], euler_angle2[ii], euler_angle3[ii]]
A[3] = grain_order[ii]
# If a non-zero material-ID defined by user
if matID>0:
A[4] = material_order[ii]
else:
A[4] = phase_order[ii]
if A16[5] ==1:
for iph in uniPhases:
letter = chr(iph + 64)
xlRange = f"{letter}1:{letter}300"#CHANGE
df = pd.read_excel("PROPS.xlsx", sheet_name='Material_parameters', usecols="A", header=None)
B = np.array(df.iloc[0:301, :]).flatten()
#print(B)
#B=tolist(B)
nslip = B[6]
# All parameters
A[6:301] = B[6:301]
#print(A)
for i in range(0, len(A), 8):
inp_file.write(",".join(str(x) for x in A[i:i+8]) + "\n")
#inp_file.write("{}, {}, {}, {}, {}, {}, {}, {}, {},".format(*A))
inp_file.write("\n**")
inp_file.write("\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.")
inp_file.write("\n**\n** OUTPUT REQUESTS\n**")
inp_file.write("\n*Restart, write, frequency=0\n**")
inp_file.write("\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**")
if noDepvar>0:
inp_file.write("\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**")
inp_file.write("\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**")
inp_file.write("\n*End Step")
inp_file.close()
return
================================================
FILE: Dream3D2Abaqus/Step-2b Python/testcase.inp
================================================
** Generated by: Dream3DtoAbaqus.m
**PARTS
**
*Part, name=DREAM3D
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 1.000000e+00, 0.000000e+00, 0.000000e+00
3, 2.000000e+00, 0.000000e+00, 0.000000e+00
4, 3.000000e+00, 0.000000e+00, 0.000000e+00
5, 4.000000e+00, 0.000000e+00, 0.000000e+00
6, 5.000000e+00, 0.000000e+00, 0.000000e+00
7, 6.000000e+00, 0.000000e+00, 0.000000e+00
8, 7.000000e+00, 0.000000e+00, 0.000000e+00
9, 8.000000e+00, 0.000000e+00, 0.000000e+00
10, 9.000000e+00, 0.000000e+00, 0.000000e+00
11, 1.000000e+01, 0.000000e+00, 0.000000e+00
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14, 2.000000e+00, 1.000000e+00, 0.000000e+00
15, 3.000000e+00, 1.000000e+00, 0.000000e+00
16, 4.000000e+00, 1.000000e+00, 0.000000e+00
17, 5.000000e+00, 1.000000e+00, 0.000000e+00
18, 6.000000e+00, 1.000000e+00, 0.000000e+00
19, 7.000000e+00, 1.000000e+00, 0.000000e+00
20, 8.000000e+00, 1.000000e+00, 0.000000e+00
21, 9.000000e+00, 1.000000e+00, 0.000000e+00
22, 1.000000e+01, 1.000000e+00, 0.000000e+00
23, 0.000000e+00, 2.000000e+00, 0.000000e+00
24, 1.000000e+00, 2.000000e+00, 0.000000e+00
25, 2.000000e+00, 2.000000e+00, 0.000000e+00
26, 3.000000e+00, 2.000000e+00, 0.000000e+00
27, 4.000000e+00, 2.000000e+00, 0.000000e+00
28, 5.000000e+00, 2.000000e+00, 0.000000e+00
29, 6.000000e+00, 2.000000e+00, 0.000000e+00
30, 7.000000e+00, 2.000000e+00, 0.000000e+00
31, 8.000000e+00, 2.000000e+00, 0.000000e+00
32, 9.000000e+00, 2.000000e+00, 0.000000e+00
33, 1.000000e+01, 2.000000e+00, 0.000000e+00
34, 0.000000e+00, 3.000000e+00, 0.000000e+00
35, 1.000000e+00, 3.000000e+00, 0.000000e+00
36, 2.000000e+00, 3.000000e+00, 0.000000e+00
37, 3.000000e+00, 3.000000e+00, 0.000000e+00
38, 4.000000e+00, 3.000000e+00, 0.000000e+00
39, 5.000000e+00, 3.000000e+00, 0.000000e+00
40, 6.000000e+00, 3.000000e+00, 0.000000e+00
41, 7.000000e+00, 3.000000e+00, 0.000000e+00
42, 8.000000e+00, 3.000000e+00, 0.000000e+00
43, 9.000000e+00, 3.000000e+00, 0.000000e+00
44, 1.000000e+01, 3.000000e+00, 0.000000e+00
45, 0.000000e+00, 4.000000e+00, 0.000000e+00
46, 1.000000e+00, 4.000000e+00, 0.000000e+00
47, 2.000000e+00, 4.000000e+00, 0.000000e+00
48, 3.000000e+00, 4.000000e+00, 0.000000e+00
49, 4.000000e+00, 4.000000e+00, 0.000000e+00
50, 5.000000e+00, 4.000000e+00, 0.000000e+00
51, 6.000000e+00, 4.000000e+00, 0.000000e+00
52, 7.000000e+00, 4.000000e+00, 0.000000e+00
53, 8.000000e+00, 4.000000e+00, 0.000000e+00
54, 9.000000e+00, 4.000000e+00, 0.000000e+00
55, 1.000000e+01, 4.000000e+00, 0.000000e+00
56, 0.000000e+00, 5.000000e+00, 0.000000e+00
57, 1.000000e+00, 5.000000e+00, 0.000000e+00
58, 2.000000e+00, 5.000000e+00, 0.000000e+00
59, 3.000000e+00, 5.000000e+00, 0.000000e+00
60, 4.000000e+00, 5.000000e+00, 0.000000e+00
61, 5.000000e+00, 5.000000e+00, 0.000000e+00
62, 6.000000e+00, 5.000000e+00, 0.000000e+00
63, 7.000000e+00, 5.000000e+00, 0.000000e+00
64, 8.000000e+00, 5.000000e+00, 0.000000e+00
65, 9.000000e+00, 5.000000e+00, 0.000000e+00
66, 1.000000e+01, 5.000000e+00, 0.000000e+00
67, 0.000000e+00, 6.000000e+00, 0.000000e+00
68, 1.000000e+00, 6.000000e+00, 0.000000e+00
69, 2.000000e+00, 6.000000e+00, 0.000000e+00
70, 3.000000e+00, 6.000000e+00, 0.000000e+00
71, 4.000000e+00, 6.000000e+00, 0.000000e+00
72, 5.000000e+00, 6.000000e+00, 0.000000e+00
73, 6.000000e+00, 6.000000e+00, 0.000000e+00
74, 7.000000e+00, 6.000000e+00, 0.000000e+00
75, 8.000000e+00, 6.000000e+00, 0.000000e+00
76, 9.000000e+00, 6.000000e+00, 0.000000e+00
77, 1.000000e+01, 6.000000e+00, 0.000000e+00
78, 0.000000e+00, 7.000000e+00, 0.000000e+00
79, 1.000000e+00, 7.000000e+00, 0.000000e+00
80, 2.000000e+00, 7.000000e+00, 0.000000e+00
81, 3.000000e+00, 7.000000e+00, 0.000000e+00
82, 4.000000e+00, 7.000000e+00, 0.000000e+00
83, 5.000000e+00, 7.000000e+00, 0.000000e+00
84, 6.000000e+00, 7.000000e+00, 0.000000e+00
85, 7.000000e+00, 7.000000e+00, 0.000000e+00
86, 8.000000e+00, 7.000000e+00, 0.000000e+00
87, 9.000000e+00, 7.000000e+00, 0.000000e+00
88, 1.000000e+01, 7.000000e+00, 0.000000e+00
89, 0.000000e+00, 8.000000e+00, 0.000000e+00
90, 1.000000e+00, 8.000000e+00, 0.000000e+00
91, 2.000000e+00, 8.000000e+00, 0.000000e+00
92, 3.000000e+00, 8.000000e+00, 0.000000e+00
93, 4.000000e+00, 8.000000e+00, 0.000000e+00
94, 5.000000e+00, 8.000000e+00, 0.000000e+00
95, 6.000000e+00, 8.000000e+00, 0.000000e+00
96, 7.000000e+00, 8.000000e+00, 0.000000e+00
97, 8.000000e+00, 8.000000e+00, 0.000000e+00
98, 9.000000e+00, 8.000000e+00, 0.000000e+00
99, 1.000000e+01, 8.000000e+00, 0.000000e+00
100, 0.000000e+00, 9.000000e+00, 0.000000e+00
101, 1.000000e+00, 9.000000e+00, 0.000000e+00
102, 2.000000e+00, 9.000000e+00, 0.000000e+00
103, 3.000000e+00, 9.000000e+00, 0.000000e+00
104, 4.000000e+00, 9.000000e+00, 0.000000e+00
105, 5.000000e+00, 9.000000e+00, 0.000000e+00
106, 6.000000e+00, 9.000000e+00, 0.000000e+00
107, 7.000000e+00, 9.000000e+00, 0.000000e+00
108, 8.000000e+00, 9.000000e+00, 0.000000e+00
109, 9.000000e+00, 9.000000e+00, 0.000000e+00
110, 1.000000e+01, 9.000000e+00, 0.000000e+00
111, 0.000000e+00, 1.000000e+01, 0.000000e+00
112, 1.000000e+00, 1.000000e+01, 0.000000e+00
113, 2.000000e+00, 1.000000e+01, 0.000000e+00
114, 3.000000e+00, 1.000000e+01, 0.000000e+00
115, 4.000000e+00, 1.000000e+01, 0.000000e+00
116, 5.000000e+00, 1.000000e+01, 0.000000e+00
117, 6.000000e+00, 1.000000e+01, 0.000000e+00
118, 7.000000e+00, 1.000000e+01, 0.000000e+00
119, 8.000000e+00, 1.000000e+01, 0.000000e+00
120, 9.000000e+00, 1.000000e+01, 0.000000e+00
121, 1.000000e+01, 1.000000e+01, 0.000000e+00
122, 0.000000e+00, 0.000000e+00, 1.000000e+00
123, 1.000000e+00, 0.000000e+00, 1.000000e+00
124, 2.000000e+00, 0.000000e+00, 1.000000e+00
125, 3.000000e+00, 0.000000e+00, 1.000000e+00
126, 4.000000e+00, 0.000000e+00, 1.000000e+00
127, 5.000000e+00, 0.000000e+00, 1.000000e+00
128, 6.000000e+00, 0.000000e+00, 1.000000e+00
129, 7.000000e+00, 0.000000e+00, 1.000000e+00
130, 8.000000e+00, 0.000000e+00, 1.000000e+00
131, 9.000000e+00, 0.000000e+00, 1.000000e+00
132, 1.000000e+01, 0.000000e+00, 1.000000e+00
133, 0.000000e+00, 1.000000e+00, 1.000000e+00
134, 1.000000e+00, 1.000000e+00, 1.000000e+00
135, 2.000000e+00, 1.000000e+00, 1.000000e+00
136, 3.000000e+00, 1.000000e+00, 1.000000e+00
137, 4.000000e+00, 1.000000e+00, 1.000000e+00
138, 5.000000e+00, 1.000000e+00, 1.000000e+00
139, 6.000000e+00, 1.000000e+00, 1.000000e+00
140, 7.000000e+00, 1.000000e+00, 1.000000e+00
141, 8.000000e+00, 1.000000e+00, 1.000000e+00
142, 9.000000e+00, 1.000000e+00, 1.000000e+00
143, 1.000000e+01, 1.000000e+00, 1.000000e+00
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145, 1.000000e+00, 2.000000e+00, 1.000000e+00
146, 2.000000e+00, 2.000000e+00, 1.000000e+00
147, 3.000000e+00, 2.000000e+00, 1.000000e+00
148, 4.000000e+00, 2.000000e+00, 1.000000e+00
149, 5.000000e+00, 2.000000e+00, 1.000000e+00
150, 6.000000e+00, 2.000000e+00, 1.000000e+00
151, 7.000000e+00, 2.000000e+00, 1.000000e+00
152, 8.000000e+00, 2.000000e+00, 1.000000e+00
153, 9.000000e+00, 2.000000e+00, 1.000000e+00
154, 1.000000e+01, 2.000000e+00, 1.000000e+00
155, 0.000000e+00, 3.000000e+00, 1.000000e+00
156, 1.000000e+00, 3.000000e+00, 1.000000e+00
157, 2.000000e+00, 3.000000e+00, 1.000000e+00
158, 3.000000e+00, 3.000000e+00, 1.000000e+00
159, 4.000000e+00, 3.000000e+00, 1.000000e+00
160, 5.000000e+00, 3.000000e+00, 1.000000e+00
161, 6.000000e+00, 3.000000e+00, 1.000000e+00
162, 7.000000e+00, 3.000000e+00, 1.000000e+00
163, 8.000000e+00, 3.000000e+00, 1.000000e+00
164, 9.000000e+00, 3.000000e+00, 1.000000e+00
165, 1.000000e+01, 3.000000e+00, 1.000000e+00
166, 0.000000e+00, 4.000000e+00, 1.000000e+00
167, 1.000000e+00, 4.000000e+00, 1.000000e+00
168, 2.000000e+00, 4.000000e+00, 1.000000e+00
169, 3.000000e+00, 4.000000e+00, 1.000000e+00
170, 4.000000e+00, 4.000000e+00, 1.000000e+00
171, 5.000000e+00, 4.000000e+00, 1.000000e+00
172, 6.000000e+00, 4.000000e+00, 1.000000e+00
173, 7.000000e+00, 4.000000e+00, 1.000000e+00
174, 8.000000e+00, 4.000000e+00, 1.000000e+00
175, 9.000000e+00, 4.000000e+00, 1.000000e+00
176, 1.000000e+01, 4.000000e+00, 1.000000e+00
177, 0.000000e+00, 5.000000e+00, 1.000000e+00
178, 1.000000e+00, 5.000000e+00, 1.000000e+00
179, 2.000000e+00, 5.000000e+00, 1.000000e+00
180, 3.000000e+00, 5.000000e+00, 1.000000e+00
181, 4.000000e+00, 5.000000e+00, 1.000000e+00
182, 5.000000e+00, 5.000000e+00, 1.000000e+00
183, 6.000000e+00, 5.000000e+00, 1.000000e+00
184, 7.000000e+00, 5.000000e+00, 1.000000e+00
185, 8.000000e+00, 5.000000e+00, 1.000000e+00
186, 9.000000e+00, 5.000000e+00, 1.000000e+00
187, 1.000000e+01, 5.000000e+00, 1.000000e+00
188, 0.000000e+00, 6.000000e+00, 1.000000e+00
189, 1.000000e+00, 6.000000e+00, 1.000000e+00
190, 2.000000e+00, 6.000000e+00, 1.000000e+00
191, 3.000000e+00, 6.000000e+00, 1.000000e+00
192, 4.000000e+00, 6.000000e+00, 1.000000e+00
193, 5.000000e+00, 6.000000e+00, 1.000000e+00
194, 6.000000e+00, 6.000000e+00, 1.000000e+00
195, 7.000000e+00, 6.000000e+00, 1.000000e+00
196, 8.000000e+00, 6.000000e+00, 1.000000e+00
197, 9.000000e+00, 6.000000e+00, 1.000000e+00
198, 1.000000e+01, 6.000000e+00, 1.000000e+00
199, 0.000000e+00, 7.000000e+00, 1.000000e+00
200, 1.000000e+00, 7.000000e+00, 1.000000e+00
201, 2.000000e+00, 7.000000e+00, 1.000000e+00
202, 3.000000e+00, 7.000000e+00, 1.000000e+00
203, 4.000000e+00, 7.000000e+00, 1.000000e+00
204, 5.000000e+00, 7.000000e+00, 1.000000e+00
205, 6.000000e+00, 7.000000e+00, 1.000000e+00
206, 7.000000e+00, 7.000000e+00, 1.000000e+00
207, 8.000000e+00, 7.000000e+00, 1.000000e+00
208, 9.000000e+00, 7.000000e+00, 1.000000e+00
209, 1.000000e+01, 7.000000e+00, 1.000000e+00
210, 0.000000e+00, 8.000000e+00, 1.000000e+00
211, 1.000000e+00, 8.000000e+00, 1.000000e+00
212, 2.000000e+00, 8.000000e+00, 1.000000e+00
213, 3.000000e+00, 8.000000e+00, 1.000000e+00
214, 4.000000e+00, 8.000000e+00, 1.000000e+00
215, 5.000000e+00, 8.000000e+00, 1.000000e+00
216, 6.000000e+00, 8.000000e+00, 1.000000e+00
217, 7.000000e+00, 8.000000e+00, 1.000000e+00
218, 8.000000e+00, 8.000000e+00, 1.000000e+00
219, 9.000000e+00, 8.000000e+00, 1.000000e+00
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222, 1.000000e+00, 9.000000e+00, 1.000000e+00
223, 2.000000e+00, 9.000000e+00, 1.000000e+00
224, 3.000000e+00, 9.000000e+00, 1.000000e+00
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227, 6.000000e+00, 9.000000e+00, 1.000000e+00
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251, 8.000000e+00, 0.000000e+00, 2.000000e+00
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256, 2.000000e+00, 1.000000e+00, 2.000000e+00
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263, 9.000000e+00, 1.000000e+00, 2.000000e+00
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266, 1.000000e+00, 2.000000e+00, 2.000000e+00
267, 2.000000e+00, 2.000000e+00, 2.000000e+00
268, 3.000000e+00, 2.000000e+00, 2.000000e+00
269, 4.000000e+00, 2.000000e+00, 2.000000e+00
270, 5.000000e+00, 2.000000e+00, 2.000000e+00
271, 6.000000e+00, 2.000000e+00, 2.000000e+00
272, 7.000000e+00, 2.000000e+00, 2.000000e+00
273, 8.000000e+00, 2.000000e+00, 2.000000e+00
274, 9.000000e+00, 2.000000e+00, 2.000000e+00
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276, 0.000000e+00, 3.000000e+00, 2.000000e+00
277, 1.000000e+00, 3.000000e+00, 2.000000e+00
278, 2.000000e+00, 3.000000e+00, 2.000000e+00
279, 3.000000e+00, 3.000000e+00, 2.000000e+00
280, 4.000000e+00, 3.000000e+00, 2.000000e+00
281, 5.000000e+00, 3.000000e+00, 2.000000e+00
282, 6.000000e+00, 3.000000e+00, 2.000000e+00
283, 7.000000e+00, 3.000000e+00, 2.000000e+00
284, 8.000000e+00, 3.000000e+00, 2.000000e+00
285, 9.000000e+00, 3.000000e+00, 2.000000e+00
286, 1.000000e+01, 3.000000e+00, 2.000000e+00
287, 0.000000e+00, 4.000000e+00, 2.000000e+00
288, 1.000000e+00, 4.000000e+00, 2.000000e+00
289, 2.000000e+00, 4.000000e+00, 2.000000e+00
290, 3.000000e+00, 4.000000e+00, 2.000000e+00
291, 4.000000e+00, 4.000000e+00, 2.000000e+00
292, 5.000000e+00, 4.000000e+00, 2.000000e+00
293, 6.000000e+00, 4.000000e+00, 2.000000e+00
294, 7.000000e+00, 4.000000e+00, 2.000000e+00
295, 8.000000e+00, 4.000000e+00, 2.000000e+00
296, 9.000000e+00, 4.000000e+00, 2.000000e+00
297, 1.000000e+01, 4.000000e+00, 2.000000e+00
298, 0.000000e+00, 5.000000e+00, 2.000000e+00
299, 1.000000e+00, 5.000000e+00, 2.000000e+00
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302, 4.000000e+00, 5.000000e+00, 2.000000e+00
303, 5.000000e+00, 5.000000e+00, 2.000000e+00
304, 6.000000e+00, 5.000000e+00, 2.000000e+00
305, 7.000000e+00, 5.000000e+00, 2.000000e+00
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309, 0.000000e+00, 6.000000e+00, 2.000000e+00
310, 1.000000e+00, 6.000000e+00, 2.000000e+00
311, 2.000000e+00, 6.000000e+00, 2.000000e+00
312, 3.000000e+00, 6.000000e+00, 2.000000e+00
313, 4.000000e+00, 6.000000e+00, 2.000000e+00
314, 5.000000e+00, 6.000000e+00, 2.000000e+00
315, 6.000000e+00, 6.000000e+00, 2.000000e+00
316, 7.000000e+00, 6.000000e+00, 2.000000e+00
317, 8.000000e+00, 6.000000e+00, 2.000000e+00
318, 9.000000e+00, 6.000000e+00, 2.000000e+00
319, 1.000000e+01, 6.000000e+00, 2.000000e+00
320, 0.000000e+00, 7.000000e+00, 2.000000e+00
321, 1.000000e+00, 7.000000e+00, 2.000000e+00
322, 2.000000e+00, 7.000000e+00, 2.000000e+00
323, 3.000000e+00, 7.000000e+00, 2.000000e+00
324, 4.000000e+00, 7.000000e+00, 2.000000e+00
325, 5.000000e+00, 7.000000e+00, 2.000000e+00
326, 6.000000e+00, 7.000000e+00, 2.000000e+00
327, 7.000000e+00, 7.000000e+00, 2.000000e+00
328, 8.000000e+00, 7.000000e+00, 2.000000e+00
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1003, 1.000000e+00, 3.000000e+00, 8.000000e+00
1004, 2.000000e+00, 3.000000e+00, 8.000000e+00
1005, 3.000000e+00, 3.000000e+00, 8.000000e+00
1006, 4.000000e+00, 3.000000e+00, 8.000000e+00
1007, 5.000000e+00, 3.000000e+00, 8.000000e+00
1008, 6.000000e+00, 3.000000e+00, 8.000000e+00
1009, 7.000000e+00, 3.000000e+00, 8.000000e+00
1010, 8.000000e+00, 3.000000e+00, 8.000000e+00
1011, 9.000000e+00, 3.000000e+00, 8.000000e+00
1012, 1.000000e+01, 3.000000e+00, 8.000000e+00
1013, 0.000000e+00, 4.000000e+00, 8.000000e+00
1014, 1.000000e+00, 4.000000e+00, 8.000000e+00
1015, 2.000000e+00, 4.000000e+00, 8.000000e+00
1016, 3.000000e+00, 4.000000e+00, 8.000000e+00
1017, 4.000000e+00, 4.000000e+00, 8.000000e+00
1018, 5.000000e+00, 4.000000e+00, 8.000000e+00
1019, 6.000000e+00, 4.000000e+00, 8.000000e+00
1020, 7.000000e+00, 4.000000e+00, 8.000000e+00
1021, 8.000000e+00, 4.000000e+00, 8.000000e+00
1022, 9.000000e+00, 4.000000e+00, 8.000000e+00
1023, 1.000000e+01, 4.000000e+00, 8.000000e+00
1024, 0.000000e+00, 5.000000e+00, 8.000000e+00
1025, 1.000000e+00, 5.000000e+00, 8.000000e+00
1026, 2.000000e+00, 5.000000e+00, 8.000000e+00
1027, 3.000000e+00, 5.000000e+00, 8.000000e+00
1028, 4.000000e+00, 5.000000e+00, 8.000000e+00
1029, 5.000000e+00, 5.000000e+00, 8.000000e+00
1030, 6.000000e+00, 5.000000e+00, 8.000000e+00
1031, 7.000000e+00, 5.000000e+00, 8.000000e+00
1032, 8.000000e+00, 5.000000e+00, 8.000000e+00
1033, 9.000000e+00, 5.000000e+00, 8.000000e+00
1034, 1.000000e+01, 5.000000e+00, 8.000000e+00
1035, 0.000000e+00, 6.000000e+00, 8.000000e+00
1036, 1.000000e+00, 6.000000e+00, 8.000000e+00
1037, 2.000000e+00, 6.000000e+00, 8.000000e+00
1038, 3.000000e+00, 6.000000e+00, 8.000000e+00
1039, 4.000000e+00, 6.000000e+00, 8.000000e+00
1040, 5.000000e+00, 6.000000e+00, 8.000000e+00
1041, 6.000000e+00, 6.000000e+00, 8.000000e+00
1042, 7.000000e+00, 6.000000e+00, 8.000000e+00
1043, 8.000000e+00, 6.000000e+00, 8.000000e+00
1044, 9.000000e+00, 6.000000e+00, 8.000000e+00
1045, 1.000000e+01, 6.000000e+00, 8.000000e+00
1046, 0.000000e+00, 7.000000e+00, 8.000000e+00
1047, 1.000000e+00, 7.000000e+00, 8.000000e+00
1048, 2.000000e+00, 7.000000e+00, 8.000000e+00
1049, 3.000000e+00, 7.000000e+00, 8.000000e+00
1050, 4.000000e+00, 7.000000e+00, 8.000000e+00
1051, 5.000000e+00, 7.000000e+00, 8.000000e+00
1052, 6.000000e+00, 7.000000e+00, 8.000000e+00
1053, 7.000000e+00, 7.000000e+00, 8.000000e+00
1054, 8.000000e+00, 7.000000e+00, 8.000000e+00
1055, 9.000000e+00, 7.000000e+00, 8.000000e+00
1056, 1.000000e+01, 7.000000e+00, 8.000000e+00
1057, 0.000000e+00, 8.000000e+00, 8.000000e+00
1058, 1.000000e+00, 8.000000e+00, 8.000000e+00
1059, 2.000000e+00, 8.000000e+00, 8.000000e+00
1060, 3.000000e+00, 8.000000e+00, 8.000000e+00
1061, 4.000000e+00, 8.000000e+00, 8.000000e+00
1062, 5.000000e+00, 8.000000e+00, 8.000000e+00
1063, 6.000000e+00, 8.000000e+00, 8.000000e+00
1064, 7.000000e+00, 8.000000e+00, 8.000000e+00
1065, 8.000000e+00, 8.000000e+00, 8.000000e+00
1066, 9.000000e+00, 8.000000e+00, 8.000000e+00
1067, 1.000000e+01, 8.000000e+00, 8.000000e+00
1068, 0.000000e+00, 9.000000e+00, 8.000000e+00
1069, 1.000000e+00, 9.000000e+00, 8.000000e+00
1070, 2.000000e+00, 9.000000e+00, 8.000000e+00
1071, 3.000000e+00, 9.000000e+00, 8.000000e+00
1072, 4.000000e+00, 9.000000e+00, 8.000000e+00
1073, 5.000000e+00, 9.000000e+00, 8.000000e+00
1074, 6.000000e+00, 9.000000e+00, 8.000000e+00
1075, 7.000000e+00, 9.000000e+00, 8.000000e+00
1076, 8.000000e+00, 9.000000e+00, 8.000000e+00
1077, 9.000000e+00, 9.000000e+00, 8.000000e+00
1078, 1.000000e+01, 9.000000e+00, 8.000000e+00
1079, 0.000000e+00, 1.000000e+01, 8.000000e+00
1080, 1.000000e+00, 1.000000e+01, 8.000000e+00
1081, 2.000000e+00, 1.000000e+01, 8.000000e+00
1082, 3.000000e+00, 1.000000e+01, 8.000000e+00
1083, 4.000000e+00, 1.000000e+01, 8.000000e+00
1084, 5.000000e+00, 1.000000e+01, 8.000000e+00
1085, 6.000000e+00, 1.000000e+01, 8.000000e+00
1086, 7.000000e+00, 1.000000e+01, 8.000000e+00
1087, 8.000000e+00, 1.000000e+01, 8.000000e+00
1088, 9.000000e+00, 1.000000e+01, 8.000000e+00
1089, 1.000000e+01, 1.000000e+01, 8.000000e+00
1090, 0.000000e+00, 0.000000e+00, 9.000000e+00
1091, 1.000000e+00, 0.000000e+00, 9.000000e+00
1092, 2.000000e+00, 0.000000e+00, 9.000000e+00
1093, 3.000000e+00, 0.000000e+00, 9.000000e+00
1094, 4.000000e+00, 0.000000e+00, 9.000000e+00
1095, 5.000000e+00, 0.000000e+00, 9.000000e+00
1096, 6.000000e+00, 0.000000e+00, 9.000000e+00
1097, 7.000000e+00, 0.000000e+00, 9.000000e+00
1098, 8.000000e+00, 0.000000e+00, 9.000000e+00
1099, 9.000000e+00, 0.000000e+00, 9.000000e+00
1100, 1.000000e+01, 0.000000e+00, 9.000000e+00
1101, 0.000000e+00, 1.000000e+00, 9.000000e+00
1102, 1.000000e+00, 1.000000e+00, 9.000000e+00
1103, 2.000000e+00, 1.000000e+00, 9.000000e+00
1104, 3.000000e+00, 1.000000e+00, 9.000000e+00
1105, 4.000000e+00, 1.000000e+00, 9.000000e+00
1106, 5.000000e+00, 1.000000e+00, 9.000000e+00
1107, 6.000000e+00, 1.000000e+00, 9.000000e+00
1108, 7.000000e+00, 1.000000e+00, 9.000000e+00
1109, 8.000000e+00, 1.000000e+00, 9.000000e+00
1110, 9.000000e+00, 1.000000e+00, 9.000000e+00
1111, 1.000000e+01, 1.000000e+00, 9.000000e+00
1112, 0.000000e+00, 2.000000e+00, 9.000000e+00
1113, 1.000000e+00, 2.000000e+00, 9.000000e+00
1114, 2.000000e+00, 2.000000e+00, 9.000000e+00
1115, 3.000000e+00, 2.000000e+00, 9.000000e+00
1116, 4.000000e+00, 2.000000e+00, 9.000000e+00
1117, 5.000000e+00, 2.000000e+00, 9.000000e+00
1118, 6.000000e+00, 2.000000e+00, 9.000000e+00
1119, 7.000000e+00, 2.000000e+00, 9.000000e+00
1120, 8.000000e+00, 2.000000e+00, 9.000000e+00
1121, 9.000000e+00, 2.000000e+00, 9.000000e+00
1122, 1.000000e+01, 2.000000e+00, 9.000000e+00
1123, 0.000000e+00, 3.000000e+00, 9.000000e+00
1124, 1.000000e+00, 3.000000e+00, 9.000000e+00
1125, 2.000000e+00, 3.000000e+00, 9.000000e+00
1126, 3.000000e+00, 3.000000e+00, 9.000000e+00
1127, 4.000000e+00, 3.000000e+00, 9.000000e+00
1128, 5.000000e+00, 3.000000e+00, 9.000000e+00
1129, 6.000000e+00, 3.000000e+00, 9.000000e+00
1130, 7.000000e+00, 3.000000e+00, 9.000000e+00
1131, 8.000000e+00, 3.000000e+00, 9.000000e+00
1132, 9.000000e+00, 3.000000e+00, 9.000000e+00
1133, 1.000000e+01, 3.000000e+00, 9.000000e+00
1134, 0.000000e+00, 4.000000e+00, 9.000000e+00
1135, 1.000000e+00, 4.000000e+00, 9.000000e+00
1136, 2.000000e+00, 4.000000e+00, 9.000000e+00
1137, 3.000000e+00, 4.000000e+00, 9.000000e+00
1138, 4.000000e+00, 4.000000e+00, 9.000000e+00
1139, 5.000000e+00, 4.000000e+00, 9.000000e+00
1140, 6.000000e+00, 4.000000e+00, 9.000000e+00
1141, 7.000000e+00, 4.000000e+00, 9.000000e+00
1142, 8.000000e+00, 4.000000e+00, 9.000000e+00
1143, 9.000000e+00, 4.000000e+00, 9.000000e+00
1144, 1.000000e+01, 4.000000e+00, 9.000000e+00
1145, 0.000000e+00, 5.000000e+00, 9.000000e+00
1146, 1.000000e+00, 5.000000e+00, 9.000000e+00
1147, 2.000000e+00, 5.000000e+00, 9.000000e+00
1148, 3.000000e+00, 5.000000e+00, 9.000000e+00
1149, 4.000000e+00, 5.000000e+00, 9.000000e+00
1150, 5.000000e+00, 5.000000e+00, 9.000000e+00
1151, 6.000000e+00, 5.000000e+00, 9.000000e+00
1152, 7.000000e+00, 5.000000e+00, 9.000000e+00
1153, 8.000000e+00, 5.000000e+00, 9.000000e+00
1154, 9.000000e+00, 5.000000e+00, 9.000000e+00
1155, 1.000000e+01, 5.000000e+00, 9.000000e+00
1156, 0.000000e+00, 6.000000e+00, 9.000000e+00
1157, 1.000000e+00, 6.000000e+00, 9.000000e+00
1158, 2.000000e+00, 6.000000e+00, 9.000000e+00
1159, 3.000000e+00, 6.000000e+00, 9.000000e+00
1160, 4.000000e+00, 6.000000e+00, 9.000000e+00
1161, 5.000000e+00, 6.000000e+00, 9.000000e+00
1162, 6.000000e+00, 6.000000e+00, 9.000000e+00
1163, 7.000000e+00, 6.000000e+00, 9.000000e+00
1164, 8.000000e+00, 6.000000e+00, 9.000000e+00
1165, 9.000000e+00, 6.000000e+00, 9.000000e+00
1166, 1.000000e+01, 6.000000e+00, 9.000000e+00
1167, 0.000000e+00, 7.000000e+00, 9.000000e+00
1168, 1.000000e+00, 7.000000e+00, 9.000000e+00
1169, 2.000000e+00, 7.000000e+00, 9.000000e+00
1170, 3.000000e+00, 7.000000e+00, 9.000000e+00
1171, 4.000000e+00, 7.000000e+00, 9.000000e+00
1172, 5.000000e+00, 7.000000e+00, 9.000000e+00
1173, 6.000000e+00, 7.000000e+00, 9.000000e+00
1174, 7.000000e+00, 7.000000e+00, 9.000000e+00
1175, 8.000000e+00, 7.000000e+00, 9.000000e+00
1176, 9.000000e+00, 7.000000e+00, 9.000000e+00
1177, 1.000000e+01, 7.000000e+00, 9.000000e+00
1178, 0.000000e+00, 8.000000e+00, 9.000000e+00
1179, 1.000000e+00, 8.000000e+00, 9.000000e+00
1180, 2.000000e+00, 8.000000e+00, 9.000000e+00
1181, 3.000000e+00, 8.000000e+00, 9.000000e+00
1182, 4.000000e+00, 8.000000e+00, 9.000000e+00
1183, 5.000000e+00, 8.000000e+00, 9.000000e+00
1184, 6.000000e+00, 8.000000e+00, 9.000000e+00
1185, 7.000000e+00, 8.000000e+00, 9.000000e+00
1186, 8.000000e+00, 8.000000e+00, 9.000000e+00
1187, 9.000000e+00, 8.000000e+00, 9.000000e+00
1188, 1.000000e+01, 8.000000e+00, 9.000000e+00
1189, 0.000000e+00, 9.000000e+00, 9.000000e+00
1190, 1.000000e+00, 9.000000e+00, 9.000000e+00
1191, 2.000000e+00, 9.000000e+00, 9.000000e+00
1192, 3.000000e+00, 9.000000e+00, 9.000000e+00
1193, 4.000000e+00, 9.000000e+00, 9.000000e+00
1194, 5.000000e+00, 9.000000e+00, 9.000000e+00
1195, 6.000000e+00, 9.000000e+00, 9.000000e+00
1196, 7.000000e+00, 9.000000e+00, 9.000000e+00
1197, 8.000000e+00, 9.000000e+00, 9.000000e+00
1198, 9.000000e+00, 9.000000e+00, 9.000000e+00
1199, 1.000000e+01, 9.000000e+00, 9.000000e+00
1200, 0.000000e+00, 1.000000e+01, 9.000000e+00
1201, 1.000000e+00, 1.000000e+01, 9.000000e+00
1202, 2.000000e+00, 1.000000e+01, 9.000000e+00
1203, 3.000000e+00, 1.000000e+01, 9.000000e+00
1204, 4.000000e+00, 1.000000e+01, 9.000000e+00
1205, 5.000000e+00, 1.000000e+01, 9.000000e+00
1206, 6.000000e+00, 1.000000e+01, 9.000000e+00
1207, 7.000000e+00, 1.000000e+01, 9.000000e+00
1208, 8.000000e+00, 1.000000e+01, 9.000000e+00
1209, 9.000000e+00, 1.000000e+01, 9.000000e+00
1210, 1.000000e+01, 1.000000e+01, 9.000000e+00
1211, 0.000000e+00, 0.000000e+00, 1.000000e+01
1212, 1.000000e+00, 0.000000e+00, 1.000000e+01
1213, 2.000000e+00, 0.000000e+00, 1.000000e+01
1214, 3.000000e+00, 0.000000e+00, 1.000000e+01
1215, 4.000000e+00, 0.000000e+00, 1.000000e+01
1216, 5.000000e+00, 0.000000e+00, 1.000000e+01
1217, 6.000000e+00, 0.000000e+00, 1.000000e+01
1218, 7.000000e+00, 0.000000e+00, 1.000000e+01
1219, 8.000000e+00, 0.000000e+00, 1.000000e+01
1220, 9.000000e+00, 0.000000e+00, 1.000000e+01
1221, 1.000000e+01, 0.000000e+00, 1.000000e+01
1222, 0.000000e+00, 1.000000e+00, 1.000000e+01
1223, 1.000000e+00, 1.000000e+00, 1.000000e+01
1224, 2.000000e+00, 1.000000e+00, 1.000000e+01
1225, 3.000000e+00, 1.000000e+00, 1.000000e+01
1226, 4.000000e+00, 1.000000e+00, 1.000000e+01
1227, 5.000000e+00, 1.000000e+00, 1.000000e+01
1228, 6.000000e+00, 1.000000e+00, 1.000000e+01
1229, 7.000000e+00, 1.000000e+00, 1.000000e+01
1230, 8.000000e+00, 1.000000e+00, 1.000000e+01
1231, 9.000000e+00, 1.000000e+00, 1.000000e+01
1232, 1.000000e+01, 1.000000e+00, 1.000000e+01
1233, 0.000000e+00, 2.000000e+00, 1.000000e+01
1234, 1.000000e+00, 2.000000e+00, 1.000000e+01
1235, 2.000000e+00, 2.000000e+00, 1.000000e+01
1236, 3.000000e+00, 2.000000e+00, 1.000000e+01
1237, 4.000000e+00, 2.000000e+00, 1.000000e+01
1238, 5.000000e+00, 2.000000e+00, 1.000000e+01
1239, 6.000000e+00, 2.000000e+00, 1.000000e+01
1240, 7.000000e+00, 2.000000e+00, 1.000000e+01
1241, 8.000000e+00, 2.000000e+00, 1.000000e+01
1242, 9.000000e+00, 2.000000e+00, 1.000000e+01
1243, 1.000000e+01, 2.000000e+00, 1.000000e+01
1244, 0.000000e+00, 3.000000e+00, 1.000000e+01
1245, 1.000000e+00, 3.000000e+00, 1.000000e+01
1246, 2.000000e+00, 3.000000e+00, 1.000000e+01
1247, 3.000000e+00, 3.000000e+00, 1.000000e+01
1248, 4.000000e+00, 3.000000e+00, 1.000000e+01
1249, 5.000000e+00, 3.000000e+00, 1.000000e+01
1250, 6.000000e+00, 3.000000e+00, 1.000000e+01
1251, 7.000000e+00, 3.000000e+00, 1.000000e+01
1252, 8.000000e+00, 3.000000e+00, 1.000000e+01
1253, 9.000000e+00, 3.000000e+00, 1.000000e+01
1254, 1.000000e+01, 3.000000e+00, 1.000000e+01
1255, 0.000000e+00, 4.000000e+00, 1.000000e+01
1256, 1.000000e+00, 4.000000e+00, 1.000000e+01
1257, 2.000000e+00, 4.000000e+00, 1.000000e+01
1258, 3.000000e+00, 4.000000e+00, 1.000000e+01
1259, 4.000000e+00, 4.000000e+00, 1.000000e+01
1260, 5.000000e+00, 4.000000e+00, 1.000000e+01
1261, 6.000000e+00, 4.000000e+00, 1.000000e+01
1262, 7.000000e+00, 4.000000e+00, 1.000000e+01
1263, 8.000000e+00, 4.000000e+00, 1.000000e+01
1264, 9.000000e+00, 4.000000e+00, 1.000000e+01
1265, 1.000000e+01, 4.000000e+00, 1.000000e+01
1266, 0.000000e+00, 5.000000e+00, 1.000000e+01
1267, 1.000000e+00, 5.000000e+00, 1.000000e+01
1268, 2.000000e+00, 5.000000e+00, 1.000000e+01
1269, 3.000000e+00, 5.000000e+00, 1.000000e+01
1270, 4.000000e+00, 5.000000e+00, 1.000000e+01
1271, 5.000000e+00, 5.000000e+00, 1.000000e+01
1272, 6.000000e+00, 5.000000e+00, 1.000000e+01
1273, 7.000000e+00, 5.000000e+00, 1.000000e+01
1274, 8.000000e+00, 5.000000e+00, 1.000000e+01
1275, 9.000000e+00, 5.000000e+00, 1.000000e+01
1276, 1.000000e+01, 5.000000e+00, 1.000000e+01
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1281, 4.000000e+00, 6.000000e+00, 1.000000e+01
1282, 5.000000e+00, 6.000000e+00, 1.000000e+01
1283, 6.000000e+00, 6.000000e+00, 1.000000e+01
1284, 7.000000e+00, 6.000000e+00, 1.000000e+01
1285, 8.000000e+00, 6.000000e+00, 1.000000e+01
1286, 9.000000e+00, 6.000000e+00, 1.000000e+01
1287, 1.000000e+01, 6.000000e+00, 1.000000e+01
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1291, 3.000000e+00, 7.000000e+00, 1.000000e+01
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1294, 6.000000e+00, 7.000000e+00, 1.000000e+01
1295, 7.000000e+00, 7.000000e+00, 1.000000e+01
1296, 8.000000e+00, 7.000000e+00, 1.000000e+01
1297, 9.000000e+00, 7.000000e+00, 1.000000e+01
1298, 1.000000e+01, 7.000000e+00, 1.000000e+01
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1301, 2.000000e+00, 8.000000e+00, 1.000000e+01
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1303, 4.000000e+00, 8.000000e+00, 1.000000e+01
1304, 5.000000e+00, 8.000000e+00, 1.000000e+01
1305, 6.000000e+00, 8.000000e+00, 1.000000e+01
1306, 7.000000e+00, 8.000000e+00, 1.000000e+01
1307, 8.000000e+00, 8.000000e+00, 1.000000e+01
1308, 9.000000e+00, 8.000000e+00, 1.000000e+01
1309, 1.000000e+01, 8.000000e+00, 1.000000e+01
1310, 0.000000e+00, 9.000000e+00, 1.000000e+01
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1312, 2.000000e+00, 9.000000e+00, 1.000000e+01
1313, 3.000000e+00, 9.000000e+00, 1.000000e+01
1314, 4.000000e+00, 9.000000e+00, 1.000000e+01
1315, 5.000000e+00, 9.000000e+00, 1.000000e+01
1316, 6.000000e+00, 9.000000e+00, 1.000000e+01
1317, 7.000000e+00, 9.000000e+00, 1.000000e+01
1318, 8.000000e+00, 9.000000e+00, 1.000000e+01
1319, 9.000000e+00, 9.000000e+00, 1.000000e+01
1320, 1.000000e+01, 9.000000e+00, 1.000000e+01
1321, 0.000000e+00, 1.000000e+01, 1.000000e+01
1322, 1.000000e+00, 1.000000e+01, 1.000000e+01
1323, 2.000000e+00, 1.000000e+01, 1.000000e+01
1324, 3.000000e+00, 1.000000e+01, 1.000000e+01
1325, 4.000000e+00, 1.000000e+01, 1.000000e+01
1326, 5.000000e+00, 1.000000e+01, 1.000000e+01
1327, 6.000000e+00, 1.000000e+01, 1.000000e+01
1328, 7.000000e+00, 1.000000e+01, 1.000000e+01
1329, 8.000000e+00, 1.000000e+01, 1.000000e+01
1330, 9.000000e+00, 1.000000e+01, 1.000000e+01
1331, 1.000000e+01, 1.000000e+01, 1.000000e+01
*Element, type=C3D8
1, 123, 2 ,1 ,122, 134 ,13 ,12 ,133
2, 124, 3 ,2 ,123, 135 ,14 ,13 ,134
3, 125, 4 ,3 ,124, 136 ,15 ,14 ,135
4, 126, 5 ,4 ,125, 137 ,16 ,15 ,136
5, 127, 6 ,5 ,126, 138 ,17 ,16 ,137
6, 128, 7 ,6 ,127, 139 ,18 ,17 ,138
7, 129, 8 ,7 ,128, 140 ,19 ,18 ,139
8, 130, 9 ,8 ,129, 141 ,20 ,19 ,140
9, 131, 10 ,9 ,130, 142 ,21 ,20 ,141
10, 132, 11 ,10 ,131, 143 ,22 ,21 ,142
11, 134, 13 ,12 ,133, 145 ,24 ,23 ,144
12, 135, 14 ,13 ,134, 146 ,25 ,24 ,145
13, 136, 15 ,14 ,135, 147 ,26 ,25 ,146
14, 137, 16 ,15 ,136, 148 ,27 ,26 ,147
15, 138, 17 ,16 ,137, 149 ,28 ,27 ,148
16, 139, 18 ,17 ,138, 150 ,29 ,28 ,149
17, 140, 19 ,18 ,139, 151 ,30 ,29 ,150
18, 141, 20 ,19 ,140, 152 ,31 ,30 ,151
19, 142, 21 ,20 ,141, 153 ,32 ,31 ,152
20, 143, 22 ,21 ,142, 154 ,33 ,32 ,153
21, 145, 24 ,23 ,144, 156 ,35 ,34 ,155
22, 146, 25 ,24 ,145, 157 ,36 ,35 ,156
23, 147, 26 ,25 ,146, 158 ,37 ,36 ,157
24, 148, 27 ,26 ,147, 159 ,38 ,37 ,158
25, 149, 28 ,27 ,148, 160 ,39 ,38 ,159
26, 150, 29 ,28 ,149, 161 ,40 ,39 ,160
27, 151, 30 ,29 ,150, 162 ,41 ,40 ,161
28, 152, 31 ,30 ,151, 163 ,42 ,41 ,162
29, 153, 32 ,31 ,152, 164 ,43 ,42 ,163
30, 154, 33 ,32 ,153, 165 ,44 ,43 ,164
31, 156, 35 ,34 ,155, 167 ,46 ,45 ,166
32, 157, 36 ,35 ,156, 168 ,47 ,46 ,167
33, 158, 37 ,36 ,157, 169 ,48 ,47 ,168
34, 159, 38 ,37 ,158, 170 ,49 ,48 ,169
35, 160, 39 ,38 ,159, 171 ,50 ,49 ,170
36, 161, 40 ,39 ,160, 172 ,51 ,50 ,171
37, 162, 41 ,40 ,161, 173 ,52 ,51 ,172
38, 163, 42 ,41 ,162, 174 ,53 ,52 ,173
39, 164, 43 ,42 ,163, 175 ,54 ,53 ,174
40, 165, 44 ,43 ,164, 176 ,55 ,54 ,175
41, 167, 46 ,45 ,166, 178 ,57 ,56 ,177
42, 168, 47 ,46 ,167, 179 ,58 ,57 ,178
43, 169, 48 ,47 ,168, 180 ,59 ,58 ,179
44, 170, 49 ,48 ,169, 181 ,60 ,59 ,180
45, 171, 50 ,49 ,170, 182 ,61 ,60 ,181
46, 172, 51 ,50 ,171, 183 ,62 ,61 ,182
47, 173, 52 ,51 ,172, 184 ,63 ,62 ,183
48, 174, 53 ,52 ,173, 185 ,64 ,63 ,184
49, 175, 54 ,53 ,174, 186 ,65 ,64 ,185
50, 176, 55 ,54 ,175, 187 ,66 ,65 ,186
51, 178, 57 ,56 ,177, 189 ,68 ,67 ,188
52, 179, 58 ,57 ,178, 190 ,69 ,68 ,189
53, 180, 59 ,58 ,179, 191 ,70 ,69 ,190
54, 181, 60 ,59 ,180, 192 ,71 ,70 ,191
55, 182, 61 ,60 ,181, 193 ,72 ,71 ,192
56, 183, 62 ,61 ,182, 194 ,73 ,72 ,193
57, 184, 63 ,62 ,183, 195 ,74 ,73 ,194
58, 185, 64 ,63 ,184, 196 ,75 ,74 ,195
59, 186, 65 ,64 ,185, 197 ,76 ,75 ,196
60, 187, 66 ,65 ,186, 198 ,77 ,76 ,197
61, 189, 68 ,67 ,188, 200 ,79 ,78 ,199
62, 190, 69 ,68 ,189, 201 ,80 ,79 ,200
63, 191, 70 ,69 ,190, 202 ,81 ,80 ,201
64, 192, 71 ,70 ,191, 203 ,82 ,81 ,202
65, 193, 72 ,71 ,192, 204 ,83 ,82 ,203
66, 194, 73 ,72 ,193, 205 ,84 ,83 ,204
67, 195, 74 ,73 ,194, 206 ,85 ,84 ,205
68, 196, 75 ,74 ,195, 207 ,86 ,85 ,206
69, 197, 76 ,75 ,196, 208 ,87 ,86 ,207
70, 198, 77 ,76 ,197, 209 ,88 ,87 ,208
71, 200, 79 ,78 ,199, 211 ,90 ,89 ,210
72, 201, 80 ,79 ,200, 212 ,91 ,90 ,211
73, 202, 81 ,80 ,201, 213 ,92 ,91 ,212
74, 203, 82 ,81 ,202, 214 ,93 ,92 ,213
75, 204, 83 ,82 ,203, 215 ,94 ,93 ,214
76, 205, 84 ,83 ,204, 216 ,95 ,94 ,215
77, 206, 85 ,84 ,205, 217 ,96 ,95 ,216
78, 207, 86 ,85 ,206, 218 ,97 ,96 ,217
79, 208, 87 ,86 ,207, 219 ,98 ,97 ,218
80, 209, 88 ,87 ,208, 220 ,99 ,98 ,219
81, 211, 90 ,89 ,210, 222 ,101 ,100 ,221
82, 212, 91 ,90 ,211, 223 ,102 ,101 ,222
83, 213, 92 ,91 ,212, 224 ,103 ,102 ,223
84, 214, 93 ,92 ,213, 225 ,104 ,103 ,224
85, 215, 94 ,93 ,214, 226 ,105 ,104 ,225
86, 216, 95 ,94 ,215, 227 ,106 ,105 ,226
87, 217, 96 ,95 ,216, 228 ,107 ,106 ,227
88, 218, 97 ,96 ,217, 229 ,108 ,107 ,228
89, 219, 98 ,97 ,218, 230 ,109 ,108 ,229
90, 220, 99 ,98 ,219, 231 ,110 ,109 ,230
91, 222, 101 ,100 ,221, 233 ,112 ,111 ,232
92, 223, 102 ,101 ,222, 234 ,113 ,112 ,233
93, 224, 103 ,102 ,223, 235 ,114 ,113 ,234
94, 225, 104 ,103 ,224, 236 ,115 ,114 ,235
95, 226, 105 ,104 ,225, 237 ,116 ,115 ,236
96, 227, 106 ,105 ,226, 238 ,117 ,116 ,237
97, 228, 107 ,106 ,227, 239 ,118 ,117 ,238
98, 229, 108 ,107 ,228, 240 ,119 ,118 ,239
99, 230, 109 ,108 ,229, 241 ,120 ,119 ,240
100, 231, 110 ,109 ,230, 242 ,121 ,120 ,241
101, 244, 123 ,122 ,243, 255 ,134 ,133 ,254
102, 245, 124 ,123 ,244, 256 ,135 ,134 ,255
103, 246, 125 ,124 ,245, 257 ,136 ,135 ,256
104, 247, 126 ,125 ,246, 258 ,137 ,136 ,257
105, 248, 127 ,126 ,247, 259 ,138 ,137 ,258
106, 249, 128 ,127 ,248, 260 ,139 ,138 ,259
107, 250, 129 ,128 ,249, 261 ,140 ,139 ,260
108, 251, 130 ,129 ,250, 262 ,141 ,140 ,261
109, 252, 131 ,130 ,251, 263 ,142 ,141 ,262
110, 253, 132 ,131 ,252, 264 ,143 ,142 ,263
111, 255, 134 ,133 ,254, 266 ,145 ,144 ,265
112, 256, 135 ,134 ,255, 267 ,146 ,145 ,266
113, 257, 136 ,135 ,256, 268 ,147 ,146 ,267
114, 258, 137 ,136 ,257, 269 ,148 ,147 ,268
115, 259, 138 ,137 ,258, 270 ,149 ,148 ,269
116, 260, 139 ,138 ,259, 271 ,150 ,149 ,270
117, 261, 140 ,139 ,260, 272 ,151 ,150 ,271
118, 262, 141 ,140 ,261, 273 ,152 ,151 ,272
119, 263, 142 ,141 ,262, 274 ,153 ,152 ,273
120, 264, 143 ,142 ,263, 275 ,154 ,153 ,274
121, 266, 145 ,144 ,265, 277 ,156 ,155 ,276
122, 267, 146 ,145 ,266, 278 ,157 ,156 ,277
123, 268, 147 ,146 ,267, 279 ,158 ,157 ,278
124, 269, 148 ,147 ,268, 280 ,159 ,158 ,279
125, 270, 149 ,148 ,269, 281 ,160 ,159 ,280
126, 271, 150 ,149 ,270, 282 ,161 ,160 ,281
127, 272, 151 ,150 ,271, 283 ,162 ,161 ,282
128, 273, 152 ,151 ,272, 284 ,163 ,162 ,283
129, 274, 153 ,152 ,273, 285 ,164 ,163 ,284
130, 275, 154 ,153 ,274, 286 ,165 ,164 ,285
131, 277, 156 ,155 ,276, 288 ,167 ,166 ,287
132, 278, 157 ,156 ,277, 289 ,168 ,167 ,288
133, 279, 158 ,157 ,278, 290 ,169 ,168 ,289
134, 280, 159 ,158 ,279, 291 ,170 ,169 ,290
135, 281, 160 ,159 ,280, 292 ,171 ,170 ,291
136, 282, 161 ,160 ,281, 293 ,172 ,171 ,292
137, 283, 162 ,161 ,282, 294 ,173 ,172 ,293
138, 284, 163 ,162 ,283, 295 ,174 ,173 ,294
139, 285, 164 ,163 ,284, 296 ,175 ,174 ,295
140, 286, 165 ,164 ,285, 297 ,176 ,175 ,296
141, 288, 167 ,166 ,287, 299 ,178 ,177 ,298
142, 289, 168 ,167 ,288, 300 ,179 ,178 ,299
143, 290, 169 ,168 ,289, 301 ,180 ,179 ,300
144, 291, 170 ,169 ,290, 302 ,181 ,180 ,301
145, 292, 171 ,170 ,291, 303 ,182 ,181 ,302
146, 293, 172 ,171 ,292, 304 ,183 ,182 ,303
147, 294, 173 ,172 ,293, 305 ,184 ,183 ,304
148, 295, 174 ,173 ,294, 306 ,185 ,184 ,305
149, 296, 175 ,174 ,295, 307 ,186 ,185 ,306
150, 297, 176 ,175 ,296, 308 ,187 ,186 ,307
151, 299, 178 ,177 ,298, 310 ,189 ,188 ,309
152, 300, 179 ,178 ,299, 311 ,190 ,189 ,310
153, 301, 180 ,179 ,300, 312 ,191 ,190 ,311
154, 302, 181 ,180 ,301, 313 ,192 ,191 ,312
155, 303, 182 ,181 ,302, 314 ,193 ,192 ,313
156, 304, 183 ,182 ,303, 315 ,194 ,193 ,314
157, 305, 184 ,183 ,304, 316 ,195 ,194 ,315
158, 306, 185 ,184 ,305, 317 ,196 ,195 ,316
159, 307, 186 ,185 ,306, 318 ,197 ,196 ,317
160, 308, 187 ,186 ,307, 319 ,198 ,197 ,318
161, 310, 189 ,188 ,309, 321 ,200 ,199 ,320
162, 311, 190 ,189 ,310, 322 ,201 ,200 ,321
163, 312, 191 ,190 ,311, 323 ,202 ,201 ,322
164, 313, 192 ,191 ,312, 324 ,203 ,202 ,323
165, 314, 193 ,192 ,313, 325 ,204 ,203 ,324
166, 315, 194 ,193 ,314, 326 ,205 ,204 ,325
167, 316, 195 ,194 ,315, 327 ,206 ,205 ,326
168, 317, 196 ,195 ,316, 328 ,207 ,206 ,327
169, 318, 197 ,196 ,317, 329 ,208 ,207 ,328
170, 319, 198 ,197 ,318, 330 ,209 ,208 ,329
171, 321, 200 ,199 ,320, 332 ,211 ,210 ,331
172, 322, 201 ,200 ,321, 333 ,212 ,211 ,332
173, 323, 202 ,201 ,322, 334 ,213 ,212 ,333
174, 324, 203 ,202 ,323, 335 ,214 ,213 ,334
175, 325, 204 ,203 ,324, 336 ,215 ,214 ,335
176, 326, 205 ,204 ,325, 337 ,216 ,215 ,336
177, 327, 206 ,205 ,326, 338 ,217 ,216 ,337
178, 328, 207 ,206 ,327, 339 ,218 ,217 ,338
179, 329, 208 ,207 ,328, 340 ,219 ,218 ,339
180, 330, 209 ,208 ,329, 341 ,220 ,219 ,340
181, 332, 211 ,210 ,331, 343 ,222 ,221 ,342
182, 333, 212 ,211 ,332, 344 ,223 ,222 ,343
183, 334, 213 ,212 ,333, 345 ,224 ,223 ,344
184, 335, 214 ,213 ,334, 346 ,225 ,224 ,345
185, 336, 215 ,214 ,335, 347 ,226 ,225 ,346
186, 337, 216 ,215 ,336, 348 ,227 ,226 ,347
187, 338, 217 ,216 ,337, 349 ,228 ,227 ,348
188, 339, 218 ,217 ,338, 350 ,229 ,228 ,349
189, 340, 219 ,218 ,339, 351 ,230 ,229 ,350
190, 341, 220 ,219 ,340, 352 ,231 ,230 ,351
191, 343, 222 ,221 ,342, 354 ,233 ,232 ,353
192, 344, 223 ,222 ,343, 355 ,234 ,233 ,354
193, 345, 224 ,223 ,344, 356 ,235 ,234 ,355
194, 346, 225 ,224 ,345, 357 ,236 ,235 ,356
195, 347, 226 ,225 ,346, 358 ,237 ,236 ,357
196, 348, 227 ,226 ,347, 359 ,238 ,237 ,358
197, 349, 228 ,227 ,348, 360 ,239 ,238 ,359
198, 350, 229 ,228 ,349, 361 ,240 ,239 ,360
199, 351, 230 ,229 ,350, 362 ,241 ,240 ,361
200, 352, 231 ,230 ,351, 363 ,242 ,241 ,362
201, 365, 244 ,243 ,364, 376 ,255 ,254 ,375
202, 366, 245 ,244 ,365, 377 ,256 ,255 ,376
203, 367, 246 ,245 ,366, 378 ,257 ,256 ,377
204, 368, 247 ,246 ,367, 379 ,258 ,257 ,378
205, 369, 248 ,247 ,368, 380 ,259 ,258 ,379
206, 370, 249 ,248 ,369, 381 ,260 ,259 ,380
207, 371, 250 ,249 ,370, 382 ,261 ,260 ,381
208, 372, 251 ,250 ,371, 383 ,262 ,261 ,382
209, 373, 252 ,251 ,372, 384 ,263 ,262 ,383
210, 374, 253 ,252 ,373, 385 ,264 ,263 ,384
211, 376, 255 ,254 ,375, 387 ,266 ,265 ,386
212, 377, 256 ,255 ,376, 388 ,267 ,266 ,387
213, 378, 257 ,256 ,377, 389 ,268 ,267 ,388
214, 379, 258 ,257 ,378, 390 ,269 ,268 ,389
215, 380, 259 ,258 ,379, 391 ,270 ,269 ,390
216, 381, 260 ,259 ,380, 392 ,271 ,270 ,391
217, 382, 261 ,260 ,381, 393 ,272 ,271 ,392
218, 383, 262 ,261 ,382, 394 ,273 ,272 ,393
219, 384, 263 ,262 ,383, 395 ,274 ,273 ,394
220, 385, 264 ,263 ,384, 396 ,275 ,274 ,395
221, 387, 266 ,265 ,386, 398 ,277 ,276 ,397
222, 388, 267 ,266 ,387, 399 ,278 ,277 ,398
223, 389, 268 ,267 ,388, 400 ,279 ,278 ,399
224, 390, 269 ,268 ,389, 401 ,280 ,279 ,400
225, 391, 270 ,269 ,390, 402 ,281 ,280 ,401
226, 392, 271 ,270 ,391, 403 ,282 ,281 ,402
227, 393, 272 ,271 ,392, 404 ,283 ,282 ,403
228, 394, 273 ,272 ,393, 405 ,284 ,283 ,404
229, 395, 274 ,273 ,394, 406 ,285 ,284 ,405
230, 396, 275 ,274 ,395, 407 ,286 ,285 ,406
231, 398, 277 ,276 ,397, 409 ,288 ,287 ,408
232, 399, 278 ,277 ,398, 410 ,289 ,288 ,409
233, 400, 279 ,278 ,399, 411 ,290 ,289 ,410
234, 401, 280 ,279 ,400, 412 ,291 ,290 ,411
235, 402, 281 ,280 ,401, 413 ,292 ,291 ,412
236, 403, 282 ,281 ,402, 414 ,293 ,292 ,413
237, 404, 283 ,282 ,403, 415 ,294 ,293 ,414
238, 405, 284 ,283 ,404, 416 ,295 ,294 ,415
239, 406, 285 ,284 ,405, 417 ,296 ,295 ,416
240, 407, 286 ,285 ,406, 418 ,297 ,296 ,417
241, 409, 288 ,287 ,408, 420 ,299 ,298 ,419
242, 410, 289 ,288 ,409, 421 ,300 ,299 ,420
243, 411, 290 ,289 ,410, 422 ,301 ,300 ,421
244, 412, 291 ,290 ,411, 423 ,302 ,301 ,422
245, 413, 292 ,291 ,412, 424 ,303 ,302 ,423
246, 414, 293 ,292 ,413, 425 ,304 ,303 ,424
247, 415, 294 ,293 ,414, 426 ,305 ,304 ,425
248, 416, 295 ,294 ,415, 427 ,306 ,305 ,426
249, 417, 296 ,295 ,416, 428 ,307 ,306 ,427
250, 418, 297 ,296 ,417, 429 ,308 ,307 ,428
251, 420, 299 ,298 ,419, 431 ,310 ,309 ,430
252, 421, 300 ,299 ,420, 432 ,311 ,310 ,431
253, 422, 301 ,300 ,421, 433 ,312 ,311 ,432
254, 423, 302 ,301 ,422, 434 ,313 ,312 ,433
255, 424, 303 ,302 ,423, 435 ,314 ,313 ,434
256, 425, 304 ,303 ,424, 436 ,315 ,314 ,435
257, 426, 305 ,304 ,425, 437 ,316 ,315 ,436
258, 427, 306 ,305 ,426, 438 ,317 ,316 ,437
259, 428, 307 ,306 ,427, 439 ,318 ,317 ,438
260, 429, 308 ,307 ,428, 440 ,319 ,318 ,439
261, 431, 310 ,309 ,430, 442 ,321 ,320 ,441
262, 432, 311 ,310 ,431, 443 ,322 ,321 ,442
263, 433, 312 ,311 ,432, 444 ,323 ,322 ,443
264, 434, 313 ,312 ,433, 445 ,324 ,323 ,444
265, 435, 314 ,313 ,434, 446 ,325 ,324 ,445
266, 436, 315 ,314 ,435, 447 ,326 ,325 ,446
267, 437, 316 ,315 ,436, 448 ,327 ,326 ,447
268, 438, 317 ,316 ,437, 449 ,328 ,327 ,448
269, 439, 318 ,317 ,438, 450 ,329 ,328 ,449
270, 440, 319 ,318 ,439, 451 ,330 ,329 ,450
271, 442, 321 ,320 ,441, 453 ,332 ,331 ,452
272, 443, 322 ,321 ,442, 454 ,333 ,332 ,453
273, 444, 323 ,322 ,443, 455 ,334 ,333 ,454
274, 445, 324 ,323 ,444, 456 ,335 ,334 ,455
275, 446, 325 ,324 ,445, 457 ,336 ,335 ,456
276, 447, 326 ,325 ,446, 458 ,337 ,336 ,457
277, 448, 327 ,326 ,447, 459 ,338 ,337 ,458
278, 449, 328 ,327 ,448, 460 ,339 ,338 ,459
279, 450, 329 ,328 ,449, 461 ,340 ,339 ,460
280, 451, 330 ,329 ,450, 462 ,341 ,340 ,461
281, 453, 332 ,331 ,452, 464 ,343 ,342 ,463
282, 454, 333 ,332 ,453, 465 ,344 ,343 ,464
283, 455, 334 ,333 ,454, 466 ,345 ,344 ,465
284, 456, 335 ,334 ,455, 467 ,346 ,345 ,466
285, 457, 336 ,335 ,456, 468 ,347 ,346 ,467
286, 458, 337 ,336 ,457, 469 ,348 ,347 ,468
287, 459, 338 ,337 ,458, 470 ,349 ,348 ,469
288, 460, 339 ,338 ,459, 471 ,350 ,349 ,470
289, 461, 340 ,339 ,460, 472 ,351 ,350 ,471
290, 462, 341 ,340 ,461, 473 ,352 ,351 ,472
291, 464, 343 ,342 ,463, 475 ,354 ,353 ,474
292, 465, 344 ,343 ,464, 476 ,355 ,354 ,475
293, 466, 345 ,344 ,465, 477 ,356 ,355 ,476
294, 467, 346 ,345 ,466, 478 ,357 ,356 ,477
295, 468, 347 ,346 ,467, 479 ,358 ,357 ,478
296, 469, 348 ,347 ,468, 480 ,359 ,358 ,479
297, 470, 349 ,348 ,469, 481 ,360 ,359 ,480
298, 471, 350 ,349 ,470, 482 ,361 ,360 ,481
299, 472, 351 ,350 ,471, 483 ,362 ,361 ,482
300, 473, 352 ,351 ,472, 484 ,363 ,362 ,483
301, 486, 365 ,364 ,485, 497 ,376 ,375 ,496
302, 487, 366 ,365 ,486, 498 ,377 ,376 ,497
303, 488, 367 ,366 ,487, 499 ,378 ,377 ,498
304, 489, 368 ,367 ,488, 500 ,379 ,378 ,499
305, 490, 369 ,368 ,489, 501 ,380 ,379 ,500
306, 491, 370 ,369 ,490, 502 ,381 ,380 ,501
307, 492, 371 ,370 ,491, 503 ,382 ,381 ,502
308, 493, 372 ,371 ,492, 504 ,383 ,382 ,503
309, 494, 373 ,372 ,493, 505 ,384 ,383 ,504
310, 495, 374 ,373 ,494, 506 ,385 ,384 ,505
311, 497, 376 ,375 ,496, 508 ,387 ,386 ,507
312, 498, 377 ,376 ,497, 509 ,388 ,387 ,508
313, 499, 378 ,377 ,498, 510 ,389 ,388 ,509
314, 500, 379 ,378 ,499, 511 ,390 ,389 ,510
315, 501, 380 ,379 ,500, 512 ,391 ,390 ,511
316, 502, 381 ,380 ,501, 513 ,392 ,391 ,512
317, 503, 382 ,381 ,502, 514 ,393 ,392 ,513
318, 504, 383 ,382 ,503, 515 ,394 ,393 ,514
319, 505, 384 ,383 ,504, 516 ,395 ,394 ,515
320, 506, 385 ,384 ,505, 517 ,396 ,395 ,516
321, 508, 387 ,386 ,507, 519 ,398 ,397 ,518
322, 509, 388 ,387 ,508, 520 ,399 ,398 ,519
323, 510, 389 ,388 ,509, 521 ,400 ,399 ,520
324, 511, 390 ,389 ,510, 522 ,401 ,400 ,521
325, 512, 391 ,390 ,511, 523 ,402 ,401 ,522
326, 513, 392 ,391 ,512, 524 ,403 ,402 ,523
327, 514, 393 ,392 ,513, 525 ,404 ,403 ,524
328, 515, 394 ,393 ,514, 526 ,405 ,404 ,525
329, 516, 395 ,394 ,515, 527 ,406 ,405 ,526
330, 517, 396 ,395 ,516, 528 ,407 ,406 ,527
331, 519, 398 ,397 ,518, 530 ,409 ,408 ,529
332, 520, 399 ,398 ,519, 531 ,410 ,409 ,530
333, 521, 400 ,399 ,520, 532 ,411 ,410 ,531
334, 522, 401 ,400 ,521, 533 ,412 ,411 ,532
335, 523, 402 ,401 ,522, 534 ,413 ,412 ,533
336, 524, 403 ,402 ,523, 535 ,414 ,413 ,534
337, 525, 404 ,403 ,524, 536 ,415 ,414 ,535
338, 526, 405 ,404 ,525, 537 ,416 ,415 ,536
339, 527, 406 ,405 ,526, 538 ,417 ,416 ,537
340, 528, 407 ,406 ,527, 539 ,418 ,417 ,538
341, 530, 409 ,408 ,529, 541 ,420 ,419 ,540
342, 531, 410 ,409 ,530, 542 ,421 ,420 ,541
343, 532, 411 ,410 ,531, 543 ,422 ,421 ,542
344, 533, 412 ,411 ,532, 544 ,423 ,422 ,543
345, 534, 413 ,412 ,533, 545 ,424 ,423 ,544
346, 535, 414 ,413 ,534, 546 ,425 ,424 ,545
347, 536, 415 ,414 ,535, 547 ,426 ,425 ,546
348, 537, 416 ,415 ,536, 548 ,427 ,426 ,547
349, 538, 417 ,416 ,537, 549 ,428 ,427 ,548
350, 539, 418 ,417 ,538, 550 ,429 ,428 ,549
351, 541, 420 ,419 ,540, 552 ,431 ,430 ,551
352, 542, 421 ,420 ,541, 553 ,432 ,431 ,552
353, 543, 422 ,421 ,542, 554 ,433 ,432 ,553
354, 544, 423 ,422 ,543, 555 ,434 ,433 ,554
355, 545, 424 ,423 ,544, 556 ,435 ,434 ,555
356, 546, 425 ,424 ,545, 557 ,436 ,435 ,556
357, 547, 426 ,425 ,546, 558 ,437 ,436 ,557
358, 548, 427 ,426 ,547, 559 ,438 ,437 ,558
359, 549, 428 ,427 ,548, 560 ,439 ,438 ,559
360, 550, 429 ,428 ,549, 561 ,440 ,439 ,560
361, 552, 431 ,430 ,551, 563 ,442 ,441 ,562
362, 553, 432 ,431 ,552, 564 ,443 ,442 ,563
363, 554, 433 ,432 ,553, 565 ,444 ,443 ,564
364, 555, 434 ,433 ,554, 566 ,445 ,444 ,565
365, 556, 435 ,434 ,555, 567 ,446 ,445 ,566
366, 557, 436 ,435 ,556, 568 ,447 ,446 ,567
367, 558, 437 ,436 ,557, 569 ,448 ,447 ,568
368, 559, 438 ,437 ,558, 570 ,449 ,448 ,569
369, 560, 439 ,438 ,559, 571 ,450 ,449 ,570
370, 561, 440 ,439 ,560, 572 ,451 ,450 ,571
371, 563, 442 ,441 ,562, 574 ,453 ,452 ,573
372, 564, 443 ,442 ,563, 575 ,454 ,453 ,574
373, 565, 444 ,443 ,564, 576 ,455 ,454 ,575
374, 566, 445 ,444 ,565, 577 ,456 ,455 ,576
375, 567, 446 ,445 ,566, 578 ,457 ,456 ,577
376, 568, 447 ,446 ,567, 579 ,458 ,457 ,578
377, 569, 448 ,447 ,568, 580 ,459 ,458 ,579
378, 570, 449 ,448 ,569, 581 ,460 ,459 ,580
379, 571, 450 ,449 ,570, 582 ,461 ,460 ,581
380, 572, 451 ,450 ,571, 583 ,462 ,461 ,582
381, 574, 453 ,452 ,573, 585 ,464 ,463 ,584
382, 575, 454 ,453 ,574, 586 ,465 ,464 ,585
383, 576, 455 ,454 ,575, 587 ,466 ,465 ,586
384, 577, 456 ,455 ,576, 588 ,467 ,466 ,587
385, 578, 457 ,456 ,577, 589 ,468 ,467 ,588
386, 579, 458 ,457 ,578, 590 ,469 ,468 ,589
387, 580, 459 ,458 ,579, 591 ,470 ,469 ,590
388, 581, 460 ,459 ,580, 592 ,471 ,470 ,591
389, 582, 461 ,460 ,581, 593 ,472 ,471 ,592
390, 583, 462 ,461 ,582, 594 ,473 ,472 ,593
391, 585, 464 ,463 ,584, 596 ,475 ,474 ,595
392, 586, 465 ,464 ,585, 597 ,476 ,475 ,596
393, 587, 466 ,465 ,586, 598 ,477 ,476 ,597
394, 588, 467 ,466 ,587, 599 ,478 ,477 ,598
395, 589, 468 ,467 ,588, 600 ,479 ,478 ,599
396, 590, 469 ,468 ,589, 601 ,480 ,479 ,600
397, 591, 470 ,469 ,590, 602 ,481 ,480 ,601
398, 592, 471 ,470 ,591, 603 ,482 ,481 ,602
399, 593, 472 ,471 ,592, 604 ,483 ,482 ,603
400, 594, 473 ,472 ,593, 605 ,484 ,483 ,604
401, 607, 486 ,485 ,606, 618 ,497 ,496 ,617
402, 608, 487 ,486 ,607, 619 ,498 ,497 ,618
403, 609, 488 ,487 ,608, 620 ,499 ,498 ,619
404, 610, 489 ,488 ,609, 621 ,500 ,499 ,620
405, 611, 490 ,489 ,610, 622 ,501 ,500 ,621
406, 612, 491 ,490 ,611, 623 ,502 ,501 ,622
407, 613, 492 ,491 ,612, 624 ,503 ,502 ,623
408, 614, 493 ,492 ,613, 625 ,504 ,503 ,624
409, 615, 494 ,493 ,614, 626 ,505 ,504 ,625
410, 616, 495 ,494 ,615, 627 ,506 ,505 ,626
411, 618, 497 ,496 ,617, 629 ,508 ,507 ,628
412, 619, 498 ,497 ,618, 630 ,509 ,508 ,629
413, 620, 499 ,498 ,619, 631 ,510 ,509 ,630
414, 621, 500 ,499 ,620, 632 ,511 ,510 ,631
415, 622, 501 ,500 ,621, 633 ,512 ,511 ,632
416, 623, 502 ,501 ,622, 634 ,513 ,512 ,633
417, 624, 503 ,502 ,623, 635 ,514 ,513 ,634
418, 625, 504 ,503 ,624, 636 ,515 ,514 ,635
419, 626, 505 ,504 ,625, 637 ,516 ,515 ,636
420, 627, 506 ,505 ,626, 638 ,517 ,516 ,637
421, 629, 508 ,507 ,628, 640 ,519 ,518 ,639
422, 630, 509 ,508 ,629, 641 ,520 ,519 ,640
423, 631, 510 ,509 ,630, 642 ,521 ,520 ,641
424, 632, 511 ,510 ,631, 643 ,522 ,521 ,642
425, 633, 512 ,511 ,632, 644 ,523 ,522 ,643
426, 634, 513 ,512 ,633, 645 ,524 ,523 ,644
427, 635, 514 ,513 ,634, 646 ,525 ,524 ,645
428, 636, 515 ,514 ,635, 647 ,526 ,525 ,646
429, 637, 516 ,515 ,636, 648 ,527 ,526 ,647
430, 638, 517 ,516 ,637, 649 ,528 ,527 ,648
431, 640, 519 ,518 ,639, 651 ,530 ,529 ,650
432, 641, 520 ,519 ,640, 652 ,531 ,530 ,651
433, 642, 521 ,520 ,641, 653 ,532 ,531 ,652
434, 643, 522 ,521 ,642, 654 ,533 ,532 ,653
435, 644, 523 ,522 ,643, 655 ,534 ,533 ,654
436, 645, 524 ,523 ,644, 656 ,535 ,534 ,655
437, 646, 525 ,524 ,645, 657 ,536 ,535 ,656
438, 647, 526 ,525 ,646, 658 ,537 ,536 ,657
439, 648, 527 ,526 ,647, 659 ,538 ,537 ,658
440, 649, 528 ,527 ,648, 660 ,539 ,538 ,659
441, 651, 530 ,529 ,650, 662 ,541 ,540 ,661
442, 652, 531 ,530 ,651, 663 ,542 ,541 ,662
443, 653, 532 ,531 ,652, 664 ,543 ,542 ,663
444, 654, 533 ,532 ,653, 665 ,544 ,543 ,664
445, 655, 534 ,533 ,654, 666 ,545 ,544 ,665
446, 656, 535 ,534 ,655, 667 ,546 ,545 ,666
447, 657, 536 ,535 ,656, 668 ,547 ,546 ,667
448, 658, 537 ,536 ,657, 669 ,548 ,547 ,668
449, 659, 538 ,537 ,658, 670 ,549 ,548 ,669
450, 660, 539 ,538 ,659, 671 ,550 ,549 ,670
451, 662, 541 ,540 ,661, 673 ,552 ,551 ,672
452, 663, 542 ,541 ,662, 674 ,553 ,552 ,673
453, 664, 543 ,542 ,663, 675 ,554 ,553 ,674
454, 665, 544 ,543 ,664, 676 ,555 ,554 ,675
455, 666, 545 ,544 ,665, 677 ,556 ,555 ,676
456, 667, 546 ,545 ,666, 678 ,557 ,556 ,677
457, 668, 547 ,546 ,667, 679 ,558 ,557 ,678
458, 669, 548 ,547 ,668, 680 ,559 ,558 ,679
459, 670, 549 ,548 ,669, 681 ,560 ,559 ,680
460, 671, 550 ,549 ,670, 682 ,561 ,560 ,681
461, 673, 552 ,551 ,672, 684 ,563 ,562 ,683
462, 674, 553 ,552 ,673, 685 ,564 ,563 ,684
463, 675, 554 ,553 ,674, 686 ,565 ,564 ,685
464, 676, 555 ,554 ,675, 687 ,566 ,565 ,686
465, 677, 556 ,555 ,676, 688 ,567 ,566 ,687
466, 678, 557 ,556 ,677, 689 ,568 ,567 ,688
467, 679, 558 ,557 ,678, 690 ,569 ,568 ,689
468, 680, 559 ,558 ,679, 691 ,570 ,569 ,690
469, 681, 560 ,559 ,680, 692 ,571 ,570 ,691
470, 682, 561 ,560 ,681, 693 ,572 ,571 ,692
471, 684, 563 ,562 ,683, 695 ,574 ,573 ,694
472, 685, 564 ,563 ,684, 696 ,575 ,574 ,695
473, 686, 565 ,564 ,685, 697 ,576 ,575 ,696
474, 687, 566 ,565 ,686, 698 ,577 ,576 ,697
475, 688, 567 ,566 ,687, 699 ,578 ,577 ,698
476, 689, 568 ,567 ,688, 700 ,579 ,578 ,699
477, 690, 569 ,568 ,689, 701 ,580 ,579 ,700
478, 691, 570 ,569 ,690, 702 ,581 ,580 ,701
479, 692, 571 ,570 ,691, 703 ,582 ,581 ,702
480, 693, 572 ,571 ,692, 704 ,583 ,582 ,703
481, 695, 574 ,573 ,694, 706 ,585 ,584 ,705
482, 696, 575 ,574 ,695, 707 ,586 ,585 ,706
483, 697, 576 ,575 ,696, 708 ,587 ,586 ,707
484, 698, 577 ,576 ,697, 709 ,588 ,587 ,708
485, 699, 578 ,577 ,698, 710 ,589 ,588 ,709
486, 700, 579 ,578 ,699, 711 ,590 ,589 ,710
487, 701, 580 ,579 ,700, 712 ,591 ,590 ,711
488, 702, 581 ,580 ,701, 713 ,592 ,591 ,712
489, 703, 582 ,581 ,702, 714 ,593 ,592 ,713
490, 704, 583 ,582 ,703, 715 ,594 ,593 ,714
491, 706, 585 ,584 ,705, 717 ,596 ,595 ,716
492, 707, 586 ,585 ,706, 718 ,597 ,596 ,717
493, 708, 587 ,586 ,707, 719 ,598 ,597 ,718
494, 709, 588 ,587 ,708, 720 ,599 ,598 ,719
495, 710, 589 ,588 ,709, 721 ,600 ,599 ,720
496, 711, 590 ,589 ,710, 722 ,601 ,600 ,721
497, 712, 591 ,590 ,711, 723 ,602 ,601 ,722
498, 713, 592 ,591 ,712, 724 ,603 ,602 ,723
499, 714, 593 ,592 ,713, 725 ,604 ,603 ,724
500, 715, 594 ,593 ,714, 726 ,605 ,604 ,725
501, 728, 607 ,606 ,727, 739 ,618 ,617 ,738
502, 729, 608 ,607 ,728, 740 ,619 ,618 ,739
503, 730, 609 ,608 ,729, 741 ,620 ,619 ,740
504, 731, 610 ,609 ,730, 742 ,621 ,620 ,741
505, 732, 611 ,610 ,731, 743 ,622 ,621 ,742
506, 733, 612 ,611 ,732, 744 ,623 ,622 ,743
507, 734, 613 ,612 ,733, 745 ,624 ,623 ,744
508, 735, 614 ,613 ,734, 746 ,625 ,624 ,745
509, 736, 615 ,614 ,735, 747 ,626 ,625 ,746
510, 737, 616 ,615 ,736, 748 ,627 ,626 ,747
511, 739, 618 ,617 ,738, 750 ,629 ,628 ,749
512, 740, 619 ,618 ,739, 751 ,630 ,629 ,750
513, 741, 620 ,619 ,740, 752 ,631 ,630 ,751
514, 742, 621 ,620 ,741, 753 ,632 ,631 ,752
515, 743, 622 ,621 ,742, 754 ,633 ,632 ,753
516, 744, 623 ,622 ,743, 755 ,634 ,633 ,754
517, 745, 624 ,623 ,744, 756 ,635 ,634 ,755
518, 746, 625 ,624 ,745, 757 ,636 ,635 ,756
519, 747, 626 ,625 ,746, 758 ,637 ,636 ,757
520, 748, 627 ,626 ,747, 759 ,638 ,637 ,758
521, 750, 629 ,628 ,749, 761 ,640 ,639 ,760
522, 751, 630 ,629 ,750, 762 ,641 ,640 ,761
523, 752, 631 ,630 ,751, 763 ,642 ,641 ,762
524, 753, 632 ,631 ,752, 764 ,643 ,642 ,763
525, 754, 633 ,632 ,753, 765 ,644 ,643 ,764
526, 755, 634 ,633 ,754, 766 ,645 ,644 ,765
527, 756, 635 ,634 ,755, 767 ,646 ,645 ,766
528, 757, 636 ,635 ,756, 768 ,647 ,646 ,767
529, 758, 637 ,636 ,757, 769 ,648 ,647 ,768
530, 759, 638 ,637 ,758, 770 ,649 ,648 ,769
531, 761, 640 ,639 ,760, 772 ,651 ,650 ,771
532, 762, 641 ,640 ,761, 773 ,652 ,651 ,772
533, 763, 642 ,641 ,762, 774 ,653 ,652 ,773
534, 764, 643 ,642 ,763, 775 ,654 ,653 ,774
535, 765, 644 ,643 ,764, 776 ,655 ,654 ,775
536, 766, 645 ,644 ,765, 777 ,656 ,655 ,776
537, 767, 646 ,645 ,766, 778 ,657 ,656 ,777
538, 768, 647 ,646 ,767, 779 ,658 ,657 ,778
539, 769, 648 ,647 ,768, 780 ,659 ,658 ,779
540, 770, 649 ,648 ,769, 781 ,660 ,659 ,780
541, 772, 651 ,650 ,771, 783 ,662 ,661 ,782
542, 773, 652 ,651 ,772, 784 ,663 ,662 ,783
543, 774, 653 ,652 ,773, 785 ,664 ,663 ,784
544, 775, 654 ,653 ,774, 786 ,665 ,664 ,785
545, 776, 655 ,654 ,775, 787 ,666 ,665 ,786
546, 777, 656 ,655 ,776, 788 ,667 ,666 ,787
547, 778, 657 ,656 ,777, 789 ,668 ,667 ,788
548, 779, 658 ,657 ,778, 790 ,669 ,668 ,789
549, 780, 659 ,658 ,779, 791 ,670 ,669 ,790
550, 781, 660 ,659 ,780, 792 ,671 ,670 ,791
551, 783, 662 ,661 ,782, 794 ,673 ,672 ,793
552, 784, 663 ,662 ,783, 795 ,674 ,673 ,794
553, 785, 664 ,663 ,784, 796 ,675 ,674 ,795
554, 786, 665 ,664 ,785, 797 ,676 ,675 ,796
555, 787, 666 ,665 ,786, 798 ,677 ,676 ,797
556, 788, 667 ,666 ,787, 799 ,678 ,677 ,798
557, 789, 668 ,667 ,788, 800 ,679 ,678 ,799
558, 790, 669 ,668 ,789, 801 ,680 ,679 ,800
559, 791, 670 ,669 ,790, 802 ,681 ,680 ,801
560, 792, 671 ,670 ,791, 803 ,682 ,681 ,802
561, 794, 673 ,672 ,793, 805 ,684 ,683 ,804
562, 795, 674 ,673 ,794, 806 ,685 ,684 ,805
563, 796, 675 ,674 ,795, 807 ,686 ,685 ,806
564, 797, 676 ,675 ,796, 808 ,687 ,686 ,807
565, 798, 677 ,676 ,797, 809 ,688 ,687 ,808
566, 799, 678 ,677 ,798, 810 ,689 ,688 ,809
567, 800, 679 ,678 ,799, 811 ,690 ,689 ,810
568, 801, 680 ,679 ,800, 812 ,691 ,690 ,811
569, 802, 681 ,680 ,801, 813 ,692 ,691 ,812
570, 803, 682 ,681 ,802, 814 ,693 ,692 ,813
571, 805, 684 ,683 ,804, 816 ,695 ,694 ,815
572, 806, 685 ,684 ,805, 817 ,696 ,695 ,816
573, 807, 686 ,685 ,806, 818 ,697 ,696 ,817
574, 808, 687 ,686 ,807, 819 ,698 ,697 ,818
575, 809, 688 ,687 ,808, 820 ,699 ,698 ,819
576, 810, 689 ,688 ,809, 821 ,700 ,699 ,820
577, 811, 690 ,689 ,810, 822 ,701 ,700 ,821
578, 812, 691 ,690 ,811, 823 ,702 ,701 ,822
579, 813, 692 ,691 ,812, 824 ,703 ,702 ,823
580, 814, 693 ,692 ,813, 825 ,704 ,703 ,824
581, 816, 695 ,694 ,815, 827 ,706 ,705 ,826
582, 817, 696 ,695 ,816, 828 ,707 ,706 ,827
583, 818, 697 ,696 ,817, 829 ,708 ,707 ,828
584, 819, 698 ,697 ,818, 830 ,709 ,708 ,829
585, 820, 699 ,698 ,819, 831 ,710 ,709 ,830
586, 821, 700 ,699 ,820, 832 ,711 ,710 ,831
587, 822, 701 ,700 ,821, 833 ,712 ,711 ,832
588, 823, 702 ,701 ,822, 834 ,713 ,712 ,833
589, 824, 703 ,702 ,823, 835 ,714 ,713 ,834
590, 825, 704 ,703 ,824, 836 ,715 ,714 ,835
591, 827, 706 ,705 ,826, 838 ,717 ,716 ,837
592, 828, 707 ,706 ,827, 839 ,718 ,717 ,838
593, 829, 708 ,707 ,828, 840 ,719 ,718 ,839
594, 830, 709 ,708 ,829, 841 ,720 ,719 ,840
595, 831, 710 ,709 ,830, 842 ,721 ,720 ,841
596, 832, 711 ,710 ,831, 843 ,722 ,721 ,842
597, 833, 712 ,711 ,832, 844 ,723 ,722 ,843
598, 834, 713 ,712 ,833, 845 ,724 ,723 ,844
599, 835, 714 ,713 ,834, 846 ,725 ,724 ,845
600, 836, 715 ,714 ,835, 847 ,726 ,725 ,846
601, 849, 728 ,727 ,848, 860 ,739 ,738 ,859
602, 850, 729 ,728 ,849, 861 ,740 ,739 ,860
603, 851, 730 ,729 ,850, 862 ,741 ,740 ,861
604, 852, 731 ,730 ,851, 863 ,742 ,741 ,862
605, 853, 732 ,731 ,852, 864 ,743 ,742 ,863
606, 854, 733 ,732 ,853, 865 ,744 ,743 ,864
607, 855, 734 ,733 ,854, 866 ,745 ,744 ,865
608, 856, 735 ,734 ,855, 867 ,746 ,745 ,866
609, 857, 736 ,735 ,856, 868 ,747 ,746 ,867
610, 858, 737 ,736 ,857, 869 ,748 ,747 ,868
611, 860, 739 ,738 ,859, 871 ,750 ,749 ,870
612, 861, 740 ,739 ,860, 872 ,751 ,750 ,871
613, 862, 741 ,740 ,861, 873 ,752 ,751 ,872
614, 863, 742 ,741 ,862, 874 ,753 ,752 ,873
615, 864, 743 ,742 ,863, 875 ,754 ,753 ,874
616, 865, 744 ,743 ,864, 876 ,755 ,754 ,875
617, 866, 745 ,744 ,865, 877 ,756 ,755 ,876
618, 867, 746 ,745 ,866, 878 ,757 ,756 ,877
619, 868, 747 ,746 ,867, 879 ,758 ,757 ,878
620, 869, 748 ,747 ,868, 880 ,759 ,758 ,879
621, 871, 750 ,749 ,870, 882 ,761 ,760 ,881
622, 872, 751 ,750 ,871, 883 ,762 ,761 ,882
623, 873, 752 ,751 ,872, 884 ,763 ,762 ,883
624, 874, 753 ,752 ,873, 885 ,764 ,763 ,884
625, 875, 754 ,753 ,874, 886 ,765 ,764 ,885
626, 876, 755 ,754 ,875, 887 ,766 ,765 ,886
627, 877, 756 ,755 ,876, 888 ,767 ,766 ,887
628, 878, 757 ,756 ,877, 889 ,768 ,767 ,888
629, 879, 758 ,757 ,878, 890 ,769 ,768 ,889
630, 880, 759 ,758 ,879, 891 ,770 ,769 ,890
631, 882, 761 ,760 ,881, 893 ,772 ,771 ,892
632, 883, 762 ,761 ,882, 894 ,773 ,772 ,893
633, 884, 763 ,762 ,883, 895 ,774 ,773 ,894
634, 885, 764 ,763 ,884, 896 ,775 ,774 ,895
635, 886, 765 ,764 ,885, 897 ,776 ,775 ,896
636, 887, 766 ,765 ,886, 898 ,777 ,776 ,897
637, 888, 767 ,766 ,887, 899 ,778 ,777 ,898
638, 889, 768 ,767 ,888, 900 ,779 ,778 ,899
639, 890, 769 ,768 ,889, 901 ,780 ,779 ,900
640, 891, 770 ,769 ,890, 902 ,781 ,780 ,901
641, 893, 772 ,771 ,892, 904 ,783 ,782 ,903
642, 894, 773 ,772 ,893, 905 ,784 ,783 ,904
643, 895, 774 ,773 ,894, 906 ,785 ,784 ,905
644, 896, 775 ,774 ,895, 907 ,786 ,785 ,906
645, 897, 776 ,775 ,896, 908 ,787 ,786 ,907
646, 898, 777 ,776 ,897, 909 ,788 ,787 ,908
647, 899, 778 ,777 ,898, 910 ,789 ,788 ,909
648, 900, 779 ,778 ,899, 911 ,790 ,789 ,910
649, 901, 780 ,779 ,900, 912 ,791 ,790 ,911
650, 902, 781 ,780 ,901, 913 ,792 ,791 ,912
651, 904, 783 ,782 ,903, 915 ,794 ,793 ,914
652, 905, 784 ,783 ,904, 916 ,795 ,794 ,915
653, 906, 785 ,784 ,905, 917 ,796 ,795 ,916
654, 907, 786 ,785 ,906, 918 ,797 ,796 ,917
655, 908, 787 ,786 ,907, 919 ,798 ,797 ,918
656, 909, 788 ,787 ,908, 920 ,799 ,798 ,919
657, 910, 789 ,788 ,909, 921 ,800 ,799 ,920
658, 911, 790 ,789 ,910, 922 ,801 ,800 ,921
659, 912, 791 ,790 ,911, 923 ,802 ,801 ,922
660, 913, 792 ,791 ,912, 924 ,803 ,802 ,923
661, 915, 794 ,793 ,914, 926 ,805 ,804 ,925
662, 916, 795 ,794 ,915, 927 ,806 ,805 ,926
663, 917, 796 ,795 ,916, 928 ,807 ,806 ,927
664, 918, 797 ,796 ,917, 929 ,808 ,807 ,928
665, 919, 798 ,797 ,918, 930 ,809 ,808 ,929
666, 920, 799 ,798 ,919, 931 ,810 ,809 ,930
667, 921, 800 ,799 ,920, 932 ,811 ,810 ,931
668, 922, 801 ,800 ,921, 933 ,812 ,811 ,932
669, 923, 802 ,801 ,922, 934 ,813 ,812 ,933
670, 924, 803 ,802 ,923, 935 ,814 ,813 ,934
671, 926, 805 ,804 ,925, 937 ,816 ,815 ,936
672, 927, 806 ,805 ,926, 938 ,817 ,816 ,937
673, 928, 807 ,806 ,927, 939 ,818 ,817 ,938
674, 929, 808 ,807 ,928, 940 ,819 ,818 ,939
675, 930, 809 ,808 ,929, 941 ,820 ,819 ,940
676, 931, 810 ,809 ,930, 942 ,821 ,820 ,941
677, 932, 811 ,810 ,931, 943 ,822 ,821 ,942
678, 933, 812 ,811 ,932, 944 ,823 ,822 ,943
679, 934, 813 ,812 ,933, 945 ,824 ,823 ,944
680, 935, 814 ,813 ,934, 946 ,825 ,824 ,945
681, 937, 816 ,815 ,936, 948 ,827 ,826 ,947
682, 938, 817 ,816 ,937, 949 ,828 ,827 ,948
683, 939, 818 ,817 ,938, 950 ,829 ,828 ,949
684, 940, 819 ,818 ,939, 951 ,830 ,829 ,950
685, 941, 820 ,819 ,940, 952 ,831 ,830 ,951
686, 942, 821 ,820 ,941, 953 ,832 ,831 ,952
687, 943, 822 ,821 ,942, 954 ,833 ,832 ,953
688, 944, 823 ,822 ,943, 955 ,834 ,833 ,954
689, 945, 824 ,823 ,944, 956 ,835 ,834 ,955
690, 946, 825 ,824 ,945, 957 ,836 ,835 ,956
691, 948, 827 ,826 ,947, 959 ,838 ,837 ,958
692, 949, 828 ,827 ,948, 960 ,839 ,838 ,959
693, 950, 829 ,828 ,949, 961 ,840 ,839 ,960
694, 951, 830 ,829 ,950, 962 ,841 ,840 ,961
695, 952, 831 ,830 ,951, 963 ,842 ,841 ,962
696, 953, 832 ,831 ,952, 964 ,843 ,842 ,963
697, 954, 833 ,832 ,953, 965 ,844 ,843 ,964
698, 955, 834 ,833 ,954, 966 ,845 ,844 ,965
699, 956, 835 ,834 ,955, 967 ,846 ,845 ,966
700, 957, 836 ,835 ,956, 968 ,847 ,846 ,967
701, 970, 849 ,848 ,969, 981 ,860 ,859 ,980
702, 971, 850 ,849 ,970, 982 ,861 ,860 ,981
703, 972, 851 ,850 ,971, 983 ,862 ,861 ,982
704, 973, 852 ,851 ,972, 984 ,863 ,862 ,983
705, 974, 853 ,852 ,973, 985 ,864 ,863 ,984
706, 975, 854 ,853 ,974, 986 ,865 ,864 ,985
707, 976, 855 ,854 ,975, 987 ,866 ,865 ,986
708, 977, 856 ,855 ,976, 988 ,867 ,866 ,987
709, 978, 857 ,856 ,977, 989 ,868 ,867 ,988
710, 979, 858 ,857 ,978, 990 ,869 ,868 ,989
711, 981, 860 ,859 ,980, 992 ,871 ,870 ,991
712, 982, 861 ,860 ,981, 993 ,872 ,871 ,992
713, 983, 862 ,861 ,982, 994 ,873 ,872 ,993
714, 984, 863 ,862 ,983, 995 ,874 ,873 ,994
715, 985, 864 ,863 ,984, 996 ,875 ,874 ,995
716, 986, 865 ,864 ,985, 997 ,876 ,875 ,996
717, 987, 866 ,865 ,986, 998 ,877 ,876 ,997
718, 988, 867 ,866 ,987, 999 ,878 ,877 ,998
719, 989, 868 ,867 ,988, 1000 ,879 ,878 ,999
720, 990, 869 ,868 ,989, 1001 ,880 ,879 ,1000
721, 992, 871 ,870 ,991, 1003 ,882 ,881 ,1002
722, 993, 872 ,871 ,992, 1004 ,883 ,882 ,1003
723, 994, 873 ,872 ,993, 1005 ,884 ,883 ,1004
724, 995, 874 ,873 ,994, 1006 ,885 ,884 ,1005
725, 996, 875 ,874 ,995, 1007 ,886 ,885 ,1006
726, 997, 876 ,875 ,996, 1008 ,887 ,886 ,1007
727, 998, 877 ,876 ,997, 1009 ,888 ,887 ,1008
728, 999, 878 ,877 ,998, 1010 ,889 ,888 ,1009
729, 1000, 879 ,878 ,999, 1011 ,890 ,889 ,1010
730, 1001, 880 ,879 ,1000, 1012 ,891 ,890 ,1011
731, 1003, 882 ,881 ,1002, 1014 ,893 ,892 ,1013
732, 1004, 883 ,882 ,1003, 1015 ,894 ,893 ,1014
733, 1005, 884 ,883 ,1004, 1016 ,895 ,894 ,1015
734, 1006, 885 ,884 ,1005, 1017 ,896 ,895 ,1016
735, 1007, 886 ,885 ,1006, 1018 ,897 ,896 ,1017
736, 1008, 887 ,886 ,1007, 1019 ,898 ,897 ,1018
737, 1009, 888 ,887 ,1008, 1020 ,899 ,898 ,1019
738, 1010, 889 ,888 ,1009, 1021 ,900 ,899 ,1020
739, 1011, 890 ,889 ,1010, 1022 ,901 ,900 ,1021
740, 1012, 891 ,890 ,1011, 1023 ,902 ,901 ,1022
741, 1014, 893 ,892 ,1013, 1025 ,904 ,903 ,1024
742, 1015, 894 ,893 ,1014, 1026 ,905 ,904 ,1025
743, 1016, 895 ,894 ,1015, 1027 ,906 ,905 ,1026
744, 1017, 896 ,895 ,1016, 1028 ,907 ,906 ,1027
745, 1018, 897 ,896 ,1017, 1029 ,908 ,907 ,1028
746, 1019, 898 ,897 ,1018, 1030 ,909 ,908 ,1029
747, 1020, 899 ,898 ,1019, 1031 ,910 ,909 ,1030
748, 1021, 900 ,899 ,1020, 1032 ,911 ,910 ,1031
749, 1022, 901 ,900 ,1021, 1033 ,912 ,911 ,1032
750, 1023, 902 ,901 ,1022, 1034 ,913 ,912 ,1033
751, 1025, 904 ,903 ,1024, 1036 ,915 ,914 ,1035
752, 1026, 905 ,904 ,1025, 1037 ,916 ,915 ,1036
753, 1027, 906 ,905 ,1026, 1038 ,917 ,916 ,1037
754, 1028, 907 ,906 ,1027, 1039 ,918 ,917 ,1038
755, 1029, 908 ,907 ,1028, 1040 ,919 ,918 ,1039
756, 1030, 909 ,908 ,1029, 1041 ,920 ,919 ,1040
757, 1031, 910 ,909 ,1030, 1042 ,921 ,920 ,1041
758, 1032, 911 ,910 ,1031, 1043 ,922 ,921 ,1042
759, 1033, 912 ,911 ,1032, 1044 ,923 ,922 ,1043
760, 1034, 913 ,912 ,1033, 1045 ,924 ,923 ,1044
761, 1036, 915 ,914 ,1035, 1047 ,926 ,925 ,1046
762, 1037, 916 ,915 ,1036, 1048 ,927 ,926 ,1047
763, 1038, 917 ,916 ,1037, 1049 ,928 ,927 ,1048
764, 1039, 918 ,917 ,1038, 1050 ,929 ,928 ,1049
765, 1040, 919 ,918 ,1039, 1051 ,930 ,929 ,1050
766, 1041, 920 ,919 ,1040, 1052 ,931 ,930 ,1051
767, 1042, 921 ,920 ,1041, 1053 ,932 ,931 ,1052
768, 1043, 922 ,921 ,1042, 1054 ,933 ,932 ,1053
769, 1044, 923 ,922 ,1043, 1055 ,934 ,933 ,1054
770, 1045, 924 ,923 ,1044, 1056 ,935 ,934 ,1055
771, 1047, 926 ,925 ,1046, 1058 ,937 ,936 ,1057
772, 1048, 927 ,926 ,1047, 1059 ,938 ,937 ,1058
773, 1049, 928 ,927 ,1048, 1060 ,939 ,938 ,1059
774, 1050, 929 ,928 ,1049, 1061 ,940 ,939 ,1060
775, 1051, 930 ,929 ,1050, 1062 ,941 ,940 ,1061
776, 1052, 931 ,930 ,1051, 1063 ,942 ,941 ,1062
777, 1053, 932 ,931 ,1052, 1064 ,943 ,942 ,1063
778, 1054, 933 ,932 ,1053, 1065 ,944 ,943 ,1064
779, 1055, 934 ,933 ,1054, 1066 ,945 ,944 ,1065
780, 1056, 935 ,934 ,1055, 1067 ,946 ,945 ,1066
781, 1058, 937 ,936 ,1057, 1069 ,948 ,947 ,1068
782, 1059, 938 ,937 ,1058, 1070 ,949 ,948 ,1069
783, 1060, 939 ,938 ,1059, 1071 ,950 ,949 ,1070
784, 1061, 940 ,939 ,1060, 1072 ,951 ,950 ,1071
785, 1062, 941 ,940 ,1061, 1073 ,952 ,951 ,1072
786, 1063, 942 ,941 ,1062, 1074 ,953 ,952 ,1073
787, 1064, 943 ,942 ,1063, 1075 ,954 ,953 ,1074
788, 1065, 944 ,943 ,1064, 1076 ,955 ,954 ,1075
789, 1066, 945 ,944 ,1065, 1077 ,956 ,955 ,1076
790, 1067, 946 ,945 ,1066, 1078 ,957 ,956 ,1077
791, 1069, 948 ,947 ,1068, 1080 ,959 ,958 ,1079
792, 1070, 949 ,948 ,1069, 1081 ,960 ,959 ,1080
793, 1071, 950 ,949 ,1070, 1082 ,961 ,960 ,1081
794, 1072, 951 ,950 ,1071, 1083 ,962 ,961 ,1082
795, 1073, 952 ,951 ,1072, 1084 ,963 ,962 ,1083
796, 1074, 953 ,952 ,1073, 1085 ,964 ,963 ,1084
797, 1075, 954 ,953 ,1074, 1086 ,965 ,964 ,1085
798, 1076, 955 ,954 ,1075, 1087 ,966 ,965 ,1086
799, 1077, 956 ,955 ,1076, 1088 ,967 ,966 ,1087
800, 1078, 957 ,956 ,1077, 1089 ,968 ,967 ,1088
801, 1091, 970 ,969 ,1090, 1102 ,981 ,980 ,1101
802, 1092, 971 ,970 ,1091, 1103 ,982 ,981 ,1102
803, 1093, 972 ,971 ,1092, 1104 ,983 ,982 ,1103
804, 1094, 973 ,972 ,1093, 1105 ,984 ,983 ,1104
805, 1095, 974 ,973 ,1094, 1106 ,985 ,984 ,1105
806, 1096, 975 ,974 ,1095, 1107 ,986 ,985 ,1106
807, 1097, 976 ,975 ,1096, 1108 ,987 ,986 ,1107
808, 1098, 977 ,976 ,1097, 1109 ,988 ,987 ,1108
809, 1099, 978 ,977 ,1098, 1110 ,989 ,988 ,1109
810, 1100, 979 ,978 ,1099, 1111 ,990 ,989 ,1110
811, 1102, 981 ,980 ,1101, 1113 ,992 ,991 ,1112
812, 1103, 982 ,981 ,1102, 1114 ,993 ,992 ,1113
813, 1104, 983 ,982 ,1103, 1115 ,994 ,993 ,1114
814, 1105, 984 ,983 ,1104, 1116 ,995 ,994 ,1115
815, 1106, 985 ,984 ,1105, 1117 ,996 ,995 ,1116
816, 1107, 986 ,985 ,1106, 1118 ,997 ,996 ,1117
817, 1108, 987 ,986 ,1107, 1119 ,998 ,997 ,1118
818, 1109, 988 ,987 ,1108, 1120 ,999 ,998 ,1119
819, 1110, 989 ,988 ,1109, 1121 ,1000 ,999 ,1120
820, 1111, 990 ,989 ,1110, 1122 ,1001 ,1000 ,1121
821, 1113, 992 ,991 ,1112, 1124 ,1003 ,1002 ,1123
822, 1114, 993 ,992 ,1113, 1125 ,1004 ,1003 ,1124
823, 1115, 994 ,993 ,1114, 1126 ,1005 ,1004 ,1125
824, 1116, 995 ,994 ,1115, 1127 ,1006 ,1005 ,1126
825, 1117, 996 ,995 ,1116, 1128 ,1007 ,1006 ,1127
826, 1118, 997 ,996 ,1117, 1129 ,1008 ,1007 ,1128
827, 1119, 998 ,997 ,1118, 1130 ,1009 ,1008 ,1129
828, 1120, 999 ,998 ,1119, 1131 ,1010 ,1009 ,1130
829, 1121, 1000 ,999 ,1120, 1132 ,1011 ,1010 ,1131
830, 1122, 1001 ,1000 ,1121, 1133 ,1012 ,1011 ,1132
831, 1124, 1003 ,1002 ,1123, 1135 ,1014 ,1013 ,1134
832, 1125, 1004 ,1003 ,1124, 1136 ,1015 ,1014 ,1135
833, 1126, 1005 ,1004 ,1125, 1137 ,1016 ,1015 ,1136
834, 1127, 1006 ,1005 ,1126, 1138 ,1017 ,1016 ,1137
835, 1128, 1007 ,1006 ,1127, 1139 ,1018 ,1017 ,1138
836, 1129, 1008 ,1007 ,1128, 1140 ,1019 ,1018 ,1139
837, 1130, 1009 ,1008 ,1129, 1141 ,1020 ,1019 ,1140
838, 1131, 1010 ,1009 ,1130, 1142 ,1021 ,1020 ,1141
839, 1132, 1011 ,1010 ,1131, 1143 ,1022 ,1021 ,1142
840, 1133, 1012 ,1011 ,1132, 1144 ,1023 ,1022 ,1143
841, 1135, 1014 ,1013 ,1134, 1146 ,1025 ,1024 ,1145
842, 1136, 1015 ,1014 ,1135, 1147 ,1026 ,1025 ,1146
843, 1137, 1016 ,1015 ,1136, 1148 ,1027 ,1026 ,1147
844, 1138, 1017 ,1016 ,1137, 1149 ,1028 ,1027 ,1148
845, 1139, 1018 ,1017 ,1138, 1150 ,1029 ,1028 ,1149
846, 1140, 1019 ,1018 ,1139, 1151 ,1030 ,1029 ,1150
847, 1141, 1020 ,1019 ,1140, 1152 ,1031 ,1030 ,1151
848, 1142, 1021 ,1020 ,1141, 1153 ,1032 ,1031 ,1152
849, 1143, 1022 ,1021 ,1142, 1154 ,1033 ,1032 ,1153
850, 1144, 1023 ,1022 ,1143, 1155 ,1034 ,1033 ,1154
851, 1146, 1025 ,1024 ,1145, 1157 ,1036 ,1035 ,1156
852, 1147, 1026 ,1025 ,1146, 1158 ,1037 ,1036 ,1157
853, 1148, 1027 ,1026 ,1147, 1159 ,1038 ,1037 ,1158
854, 1149, 1028 ,1027 ,1148, 1160 ,1039 ,1038 ,1159
855, 1150, 1029 ,1028 ,1149, 1161 ,1040 ,1039 ,1160
856, 1151, 1030 ,1029 ,1150, 1162 ,1041 ,1040 ,1161
857, 1152, 1031 ,1030 ,1151, 1163 ,1042 ,1041 ,1162
858, 1153, 1032 ,1031 ,1152, 1164 ,1043 ,1042 ,1163
859, 1154, 1033 ,1032 ,1153, 1165 ,1044 ,1043 ,1164
860, 1155, 1034 ,1033 ,1154, 1166 ,1045 ,1044 ,1165
861, 1157, 1036 ,1035 ,1156, 1168 ,1047 ,1046 ,1167
862, 1158, 1037 ,1036 ,1157, 1169 ,1048 ,1047 ,1168
863, 1159, 1038 ,1037 ,1158, 1170 ,1049 ,1048 ,1169
864, 1160, 1039 ,1038 ,1159, 1171 ,1050 ,1049 ,1170
865, 1161, 1040 ,1039 ,1160, 1172 ,1051 ,1050 ,1171
866, 1162, 1041 ,1040 ,1161, 1173 ,1052 ,1051 ,1172
867, 1163, 1042 ,1041 ,1162, 1174 ,1053 ,1052 ,1173
868, 1164, 1043 ,1042 ,1163, 1175 ,1054 ,1053 ,1174
869, 1165, 1044 ,1043 ,1164, 1176 ,1055 ,1054 ,1175
870, 1166, 1045 ,1044 ,1165, 1177 ,1056 ,1055 ,1176
871, 1168, 1047 ,1046 ,1167, 1179 ,1058 ,1057 ,1178
872, 1169, 1048 ,1047 ,1168, 1180 ,1059 ,1058 ,1179
873, 1170, 1049 ,1048 ,1169, 1181 ,1060 ,1059 ,1180
874, 1171, 1050 ,1049 ,1170, 1182 ,1061 ,1060 ,1181
875, 1172, 1051 ,1050 ,1171, 1183 ,1062 ,1061 ,1182
876, 1173, 1052 ,1051 ,1172, 1184 ,1063 ,1062 ,1183
877, 1174, 1053 ,1052 ,1173, 1185 ,1064 ,1063 ,1184
878, 1175, 1054 ,1053 ,1174, 1186 ,1065 ,1064 ,1185
879, 1176, 1055 ,1054 ,1175, 1187 ,1066 ,1065 ,1186
880, 1177, 1056 ,1055 ,1176, 1188 ,1067 ,1066 ,1187
881, 1179, 1058 ,1057 ,1178, 1190 ,1069 ,1068 ,1189
882, 1180, 1059 ,1058 ,1179, 1191 ,1070 ,1069 ,1190
883, 1181, 1060 ,1059 ,1180, 1192 ,1071 ,1070 ,1191
884, 1182, 1061 ,1060 ,1181, 1193 ,1072 ,1071 ,1192
885, 1183, 1062 ,1061 ,1182, 1194 ,1073 ,1072 ,1193
886, 1184, 1063 ,1062 ,1183, 1195 ,1074 ,1073 ,1194
887, 1185, 1064 ,1063 ,1184, 1196 ,1075 ,1074 ,1195
888, 1186, 1065 ,1064 ,1185, 1197 ,1076 ,1075 ,1196
889, 1187, 1066 ,1065 ,1186, 1198 ,1077 ,1076 ,1197
890, 1188, 1067 ,1066 ,1187, 1199 ,1078 ,1077 ,1198
891, 1190, 1069 ,1068 ,1189, 1201 ,1080 ,1079 ,1200
892, 1191, 1070 ,1069 ,1190, 1202 ,1081 ,1080 ,1201
893, 1192, 1071 ,1070 ,1191, 1203 ,1082 ,1081 ,1202
894, 1193, 1072 ,1071 ,1192, 1204 ,1083 ,1082 ,1203
895, 1194, 1073 ,1072 ,1193, 1205 ,1084 ,1083 ,1204
896, 1195, 1074 ,1073 ,1194, 1206 ,1085 ,1084 ,1205
897, 1196, 1075 ,1074 ,1195, 1207 ,1086 ,1085 ,1206
898, 1197, 1076 ,1075 ,1196, 1208 ,1087 ,1086 ,1207
899, 1198, 1077 ,1076 ,1197, 1209 ,1088 ,1087 ,1208
900, 1199, 1078 ,1077 ,1198, 1210 ,1089 ,1088 ,1209
901, 1212, 1091 ,1090 ,1211, 1223 ,1102 ,1101 ,1222
902, 1213, 1092 ,1091 ,1212, 1224 ,1103 ,1102 ,1223
903, 1214, 1093 ,1092 ,1213, 1225 ,1104 ,1103 ,1224
904, 1215, 1094 ,1093 ,1214, 1226 ,1105 ,1104 ,1225
905, 1216, 1095 ,1094 ,1215, 1227 ,1106 ,1105 ,1226
906, 1217, 1096 ,1095 ,1216, 1228 ,1107 ,1106 ,1227
907, 1218, 1097 ,1096 ,1217, 1229 ,1108 ,1107 ,1228
908, 1219, 1098 ,1097 ,1218, 1230 ,1109 ,1108 ,1229
909, 1220, 1099 ,1098 ,1219, 1231 ,1110 ,1109 ,1230
910, 1221, 1100 ,1099 ,1220, 1232 ,1111 ,1110 ,1231
911, 1223, 1102 ,1101 ,1222, 1234 ,1113 ,1112 ,1233
912, 1224, 1103 ,1102 ,1223, 1235 ,1114 ,1113 ,1234
913, 1225, 1104 ,1103 ,1224, 1236 ,1115 ,1114 ,1235
914, 1226, 1105 ,1104 ,1225, 1237 ,1116 ,1115 ,1236
915, 1227, 1106 ,1105 ,1226, 1238 ,1117 ,1116 ,1237
916, 1228, 1107 ,1106 ,1227, 1239 ,1118 ,1117 ,1238
917, 1229, 1108 ,1107 ,1228, 1240 ,1119 ,1118 ,1239
918, 1230, 1109 ,1108 ,1229, 1241 ,1120 ,1119 ,1240
919, 1231, 1110 ,1109 ,1230, 1242 ,1121 ,1120 ,1241
920, 1232, 1111 ,1110 ,1231, 1243 ,1122 ,1121 ,1242
921, 1234, 1113 ,1112 ,1233, 1245 ,1124 ,1123 ,1244
922, 1235, 1114 ,1113 ,1234, 1246 ,1125 ,1124 ,1245
923, 1236, 1115 ,1114 ,1235, 1247 ,1126 ,1125 ,1246
924, 1237, 1116 ,1115 ,1236, 1248 ,1127 ,1126 ,1247
925, 1238, 1117 ,1116 ,1237, 1249 ,1128 ,1127 ,1248
926, 1239, 1118 ,1117 ,1238, 1250 ,1129 ,1128 ,1249
927, 1240, 1119 ,1118 ,1239, 1251 ,1130 ,1129 ,1250
928, 1241, 1120 ,1119 ,1240, 1252 ,1131 ,1130 ,1251
929, 1242, 1121 ,1120 ,1241, 1253 ,1132 ,1131 ,1252
930, 1243, 1122 ,1121 ,1242, 1254 ,1133 ,1132 ,1253
931, 1245, 1124 ,1123 ,1244, 1256 ,1135 ,1134 ,1255
932, 1246, 1125 ,1124 ,1245, 1257 ,1136 ,1135 ,1256
933, 1247, 1126 ,1125 ,1246, 1258 ,1137 ,1136 ,1257
934, 1248, 1127 ,1126 ,1247, 1259 ,1138 ,1137 ,1258
935, 1249, 1128 ,1127 ,1248, 1260 ,1139 ,1138 ,1259
936, 1250, 1129 ,1128 ,1249, 1261 ,1140 ,1139 ,1260
937, 1251, 1130 ,1129 ,1250, 1262 ,1141 ,1140 ,1261
938, 1252, 1131 ,1130 ,1251, 1263 ,1142 ,1141 ,1262
939, 1253, 1132 ,1131 ,1252, 1264 ,1143 ,1142 ,1263
940, 1254, 1133 ,1132 ,1253, 1265 ,1144 ,1143 ,1264
941, 1256, 1135 ,1134 ,1255, 1267 ,1146 ,1145 ,1266
942, 1257, 1136 ,1135 ,1256, 1268 ,1147 ,1146 ,1267
943, 1258, 1137 ,1136 ,1257, 1269 ,1148 ,1147 ,1268
944, 1259, 1138 ,1137 ,1258, 1270 ,1149 ,1148 ,1269
945, 1260, 1139 ,1138 ,1259, 1271 ,1150 ,1149 ,1270
946, 1261, 1140 ,1139 ,1260, 1272 ,1151 ,1150 ,1271
947, 1262, 1141 ,1140 ,1261, 1273 ,1152 ,1151 ,1272
948, 1263, 1142 ,1141 ,1262, 1274 ,1153 ,1152 ,1273
949, 1264, 1143 ,1142 ,1263, 1275 ,1154 ,1153 ,1274
950, 1265, 1144 ,1143 ,1264, 1276 ,1155 ,1154 ,1275
951, 1267, 1146 ,1145 ,1266, 1278 ,1157 ,1156 ,1277
952, 1268, 1147 ,1146 ,1267, 1279 ,1158 ,1157 ,1278
953, 1269, 1148 ,1147 ,1268, 1280 ,1159 ,1158 ,1279
954, 1270, 1149 ,1148 ,1269, 1281 ,1160 ,1159 ,1280
955, 1271, 1150 ,1149 ,1270, 1282 ,1161 ,1160 ,1281
956, 1272, 1151 ,1150 ,1271, 1283 ,1162 ,1161 ,1282
957, 1273, 1152 ,1151 ,1272, 1284 ,1163 ,1162 ,1283
958, 1274, 1153 ,1152 ,1273, 1285 ,1164 ,1163 ,1284
959, 1275, 1154 ,1153 ,1274, 1286 ,1165 ,1164 ,1285
960, 1276, 1155 ,1154 ,1275, 1287 ,1166 ,1165 ,1286
961, 1278, 1157 ,1156 ,1277, 1289 ,1168 ,1167 ,1288
962, 1279, 1158 ,1157 ,1278, 1290 ,1169 ,1168 ,1289
963, 1280, 1159 ,1158 ,1279, 1291 ,1170 ,1169 ,1290
964, 1281, 1160 ,1159 ,1280, 1292 ,1171 ,1170 ,1291
965, 1282, 1161 ,1160 ,1281, 1293 ,1172 ,1171 ,1292
966, 1283, 1162 ,1161 ,1282, 1294 ,1173 ,1172 ,1293
967, 1284, 1163 ,1162 ,1283, 1295 ,1174 ,1173 ,1294
968, 1285, 1164 ,1163 ,1284, 1296 ,1175 ,1174 ,1295
969, 1286, 1165 ,1164 ,1285, 1297 ,1176 ,1175 ,1296
970, 1287, 1166 ,1165 ,1286, 1298 ,1177 ,1176 ,1297
971, 1289, 1168 ,1167 ,1288, 1300 ,1179 ,1178 ,1299
972, 1290, 1169 ,1168 ,1289, 1301 ,1180 ,1179 ,1300
973, 1291, 1170 ,1169 ,1290, 1302 ,1181 ,1180 ,1301
974, 1292, 1171 ,1170 ,1291, 1303 ,1182 ,1181 ,1302
975, 1293, 1172 ,1171 ,1292, 1304 ,1183 ,1182 ,1303
976, 1294, 1173 ,1172 ,1293, 1305 ,1184 ,1183 ,1304
977, 1295, 1174 ,1173 ,1294, 1306 ,1185 ,1184 ,1305
978, 1296, 1175 ,1174 ,1295, 1307 ,1186 ,1185 ,1306
979, 1297, 1176 ,1175 ,1296, 1308 ,1187 ,1186 ,1307
980, 1298, 1177 ,1176 ,1297, 1309 ,1188 ,1187 ,1308
981, 1300, 1179 ,1178 ,1299, 1311 ,1190 ,1189 ,1310
982, 1301, 1180 ,1179 ,1300, 1312 ,1191 ,1190 ,1311
983, 1302, 1181 ,1180 ,1301, 1313 ,1192 ,1191 ,1312
984, 1303, 1182 ,1181 ,1302, 1314 ,1193 ,1192 ,1313
985, 1304, 1183 ,1182 ,1303, 1315 ,1194 ,1193 ,1314
986, 1305, 1184 ,1183 ,1304, 1316 ,1195 ,1194 ,1315
987, 1306, 1185 ,1184 ,1305, 1317 ,1196 ,1195 ,1316
988, 1307, 1186 ,1185 ,1306, 1318 ,1197 ,1196 ,1317
989, 1308, 1187 ,1186 ,1307, 1319 ,1198 ,1197 ,1318
990, 1309, 1188 ,1187 ,1308, 1320 ,1199 ,1198 ,1319
991, 1311, 1190 ,1189 ,1310, 1322 ,1201 ,1200 ,1321
992, 1312, 1191 ,1190 ,1311, 1323 ,1202 ,1201 ,1322
993, 1313, 1192 ,1191 ,1312, 1324 ,1203 ,1202 ,1323
994, 1314, 1193 ,1192 ,1313, 1325 ,1204 ,1203 ,1324
995, 1315, 1194 ,1193 ,1314, 1326 ,1205 ,1204 ,1325
996, 1316, 1195 ,1194 ,1315, 1327 ,1206 ,1205 ,1326
997, 1317, 1196 ,1195 ,1316, 1328 ,1207 ,1206 ,1327
998, 1318, 1197 ,1196 ,1317, 1329 ,1208 ,1207 ,1328
999, 1319, 1198 ,1197 ,1318, 1330 ,1209 ,1208 ,1329
1000, 1320, 1199 ,1198 ,1319, 1331 ,1210 ,1209 ,1330
*Elset, elset=GRAIN-1
505, 506, 515, 516, 604, 605, 606, 607, 608
609, 613, 614, 615, 616, 617, 618, 624, 625
626, 627, 635, 636, 702, 703, 704, 705, 706
707, 708, 709, 710, 712, 713, 714, 715, 716
717, 718, 719, 720, 722, 723, 724, 725, 726
727, 728, 729, 730, 734, 735, 736, 737, 738
739, 801, 802, 803, 804, 805, 806, 807, 808
809, 810, 811, 812, 813, 814, 815, 816, 817
818, 819, 820, 821, 822, 823, 824, 825, 826
827, 828, 829, 830, 833, 834, 835, 836, 837
838, 839, 840, 845, 846, 847, 848, 849, 901
902, 903, 904, 905, 906, 907, 908, 909, 910
911, 912, 913, 914, 915, 916, 917, 918, 919
920, 921, 922, 923, 924, 925, 926, 927, 928
929, 930, 931, 932, 933, 934, 935, 936, 937
938, 939, 940, 944, 945, 946, 947, 948, 949
950
*Elset, elset=GRAIN-2
35, 36, 37, 44, 45, 46, 47, 48, 54
55, 56, 57, 58, 59, 60, 64, 65, 66
67, 68, 69, 70, 74, 75, 76, 77, 78
79, 80, 83, 84, 85, 86, 87, 88, 89
90, 93, 94, 95, 96, 97, 98, 99, 100
135, 144, 145, 146, 147, 148, 154, 155, 156
157, 158, 159, 160, 164, 165, 166, 167, 168
169, 170, 174, 175, 176, 177, 178, 179, 180
184, 185, 186, 187, 188, 189, 190, 194, 195
196, 197, 198, 199, 200, 244, 245, 246, 247
254, 255, 256, 257, 258, 259, 264, 265, 266
267, 268, 269, 270, 274, 275, 276, 277, 278
279, 280, 284, 285, 286, 287, 288, 289, 290
295, 296, 297, 298, 299, 344, 345, 346, 354
355, 356, 357, 358, 359, 364, 365, 366, 367
368, 369, 375, 376, 377, 378, 379, 385, 386
387, 388, 397, 446, 456, 457, 458, 459, 466
467, 468, 476, 477
*Elset, elset=GRAIN-3
193, 293, 294, 374, 383, 384, 391, 392, 393
394, 395, 396, 443, 444, 445, 453, 454, 455
463, 464, 465, 473, 474, 475, 481, 482, 483
484, 485, 486, 491, 492, 493, 494, 495, 496
534, 535, 541, 542, 543, 544, 545, 546, 551
552, 553, 554, 555, 556, 557, 561, 562, 563
564, 565, 566, 567, 571, 572, 573, 574, 575
576, 577, 581, 582, 583, 584, 585, 586, 587
591, 592, 593, 594, 595, 596, 631, 632, 633
634, 641, 642, 643, 644, 645, 646, 647, 651
652, 653, 654, 655, 656, 657, 661, 662, 663
664, 665, 666, 667, 671, 672, 673, 674, 675
676, 677, 681, 682, 683, 684, 685, 686, 687
691, 692, 693, 694, 695, 696, 697, 731, 732
733, 741, 742, 743, 744, 745, 746, 747, 751
752, 753, 754, 755, 756, 757, 761, 762, 763
764, 765, 766, 767, 771, 772, 773, 774, 775
776, 777, 781, 782, 783, 784, 785, 786, 787
791, 792, 793, 794, 795, 796, 797, 831, 832
841, 842, 843, 844, 851, 852, 853, 854, 855
856, 857, 861, 862, 863, 864, 865, 866, 867
871, 872, 873, 874, 875, 876, 877, 881, 882
883, 884, 885, 886, 887, 891, 892, 893, 894
895, 896, 897, 941, 942, 943, 951, 952, 953
954, 955, 956, 957, 961, 962, 963, 964, 965
966, 967, 971, 972, 973, 974, 975, 976, 977
981, 982, 983, 984, 985, 986, 987, 991, 992
993, 994, 995, 996, 997
*Elset, elset=GRAIN-4
1, 2, 3, 4, 5, 11, 12, 13, 14
15, 21, 22, 23, 24, 25, 31, 32, 33
34, 42, 43, 101, 102, 103, 104, 105, 111
112, 113, 114, 115, 121, 122, 123, 124, 125
131, 132, 133, 134, 142, 143, 201, 202, 203
204, 205, 211, 212, 213, 214, 215, 221, 222
223, 224, 225, 231, 232, 233, 234, 301, 302
303, 304, 305, 311, 312, 313, 314, 315, 321
322, 323, 324, 331, 332, 333, 334, 401, 402
403, 404, 405, 411, 412, 413, 414, 415, 421
422, 423, 424, 431, 432, 433, 434, 501, 502
503, 504, 511, 512, 513, 514, 521, 522, 523
524, 531, 532, 533, 601, 602, 603, 611, 612
621, 622, 623, 701, 711, 721
*Elset, elset=GRAIN-5
6, 7, 8, 9, 10, 16, 17, 18, 19
20, 26, 27, 28, 29, 30, 38, 39, 40
49, 50, 106, 107, 108, 109, 110, 116, 117
118, 119, 120, 126, 127, 128, 129, 130, 136
137, 138, 139, 140, 149, 150, 206, 207, 208
209, 210, 216, 217, 218, 219, 220, 226, 227
228, 229, 230, 235, 236, 237, 238, 239, 240
248, 249, 250, 260, 306, 307, 308, 309, 310
316, 317, 318, 319, 320, 325, 326, 327, 328
329, 330, 335, 336, 337, 338, 339, 340, 347
348, 349, 350, 360, 406, 407, 408, 409, 410
416, 417, 418, 419, 420, 425, 426, 427, 428
429, 430, 435, 436, 437, 438, 439, 440, 447
448, 449, 450, 507, 508, 509, 510, 517, 518
519, 520, 525, 526, 527, 528, 529, 530, 536
537, 538, 539, 540, 547, 548, 549, 550, 610
619, 620, 628, 629, 630, 637, 638, 639, 640
648, 740
*Elset, elset=GRAIN-6
300, 370, 380, 389, 390, 398, 399, 400, 460
469, 470, 478, 479, 480, 487, 488, 489, 490
497, 498, 499, 500, 558, 559, 560, 568, 569
570, 578, 579, 580, 588, 589, 590, 597, 598
599, 600, 649, 650, 658, 659, 660, 668, 669
670, 678, 679, 680, 688, 689, 690, 698, 699
700, 748, 749, 750, 758, 759, 760, 768, 769
770, 778, 779, 780, 788, 789, 790, 798, 799
800, 850, 858, 859, 860, 868, 869, 870, 878
879, 880, 888, 889, 890, 898, 899, 900, 958
959, 960, 968, 969, 970, 978, 979, 980, 988
989, 990, 998, 999, 1000
*Elset, elset=GRAIN-7
41, 51, 52, 53, 61, 62, 63, 71, 72
73, 81, 82, 91, 92, 141, 151, 152, 153
161, 162, 163, 171, 172, 173, 181, 182, 183
191, 192, 241, 242, 243, 251, 252, 253, 261
262, 263, 271, 272, 273, 281, 282, 283, 291
292, 341, 342, 343, 351, 352, 353, 361, 362
363, 371, 372, 373, 381, 382, 441, 442, 451
452, 461, 462, 471, 472
*Elset, elset=Phase-1
1, 2, 3, 4, 5, 6, 7, 8, 9
10, 11, 12, 13, 14, 15, 16, 17, 18
19, 20, 21, 22, 23, 24, 25, 26, 27
28, 29, 30, 31, 32, 33, 34, 35, 36
37, 38, 39, 40, 41, 42, 43, 44, 45
46, 47, 48, 49, 50, 51, 52, 53, 54
55, 56, 57, 58, 59, 60, 61, 62, 63
64, 65, 66, 67, 68, 69, 70, 71, 72
73, 74, 75, 76, 77, 78, 79, 80, 81
82, 83, 84, 85, 86, 87, 88, 89, 90
91, 92, 93, 94, 95, 96, 97, 98, 99
100, 101, 102, 103, 104, 105, 106, 107, 108
109, 110, 111, 112, 113, 114, 115, 116, 117
118, 119, 120, 121, 122, 123, 124, 125, 126
127, 128, 129, 130, 131, 132, 133, 134, 135
136, 137, 138, 139, 140, 141, 142, 143, 144
145, 146, 147, 148, 149, 150, 151, 152, 153
154, 155, 156, 157, 158, 159, 160, 161, 162
163, 164, 165, 166, 167, 168, 169, 170, 171
172, 173, 174, 175, 176, 177, 178, 179, 180
181, 182, 183, 184, 185, 186, 187, 188, 189
190, 191, 192, 193, 194, 195, 196, 197, 198
199, 200, 201, 202, 203, 204, 205, 206, 207
208, 209, 210, 211, 212, 213, 214, 215, 216
217, 218, 219, 220, 221, 222, 223, 224, 225
226, 227, 228, 229, 230, 231, 232, 233, 234
235, 236, 237, 238, 239, 240, 241, 242, 243
244, 245, 246, 247, 248, 249, 250, 251, 252
253, 254, 255, 256, 257, 258, 259, 260, 261
262, 263, 264, 265, 266, 267, 268, 269, 270
271, 272, 273, 274, 275, 276, 277, 278, 279
280, 281, 282, 283, 284, 285, 286, 287, 288
289, 290, 291, 292, 293, 294, 295, 296, 297
298, 299, 300, 301, 302, 303, 304, 305, 306
307, 308, 309, 310, 311, 312, 313, 314, 315
316, 317, 318, 319, 320, 321, 322, 323, 324
325, 326, 327, 328, 329, 330, 331, 332, 333
334, 335, 336, 337, 338, 339, 340, 341, 342
343, 344, 345, 346, 347, 348, 349, 350, 351
352, 353, 354, 355, 356, 357, 358, 359, 360
361, 362, 363, 364, 365, 366, 367, 368, 369
370, 371, 372, 373, 374, 375, 376, 377, 378
379, 380, 381, 382, 383, 384, 385, 386, 387
388, 389, 390, 391, 392, 393, 394, 395, 396
397, 398, 399, 400, 401, 402, 403, 404, 405
406, 407, 408, 409, 410, 411, 412, 413, 414
415, 416, 417, 418, 419, 420, 421, 422, 423
424, 425, 426, 427, 428, 429, 430, 431, 432
433, 434, 435, 436, 437, 438, 439, 440, 441
442, 443, 444, 445, 446, 447, 448, 449, 450
451, 452, 453, 454, 455, 456, 457, 458, 459
460, 461, 462, 463, 464, 465, 466, 467, 468
469, 470, 471, 472, 473, 474, 475, 476, 477
478, 479, 480, 481, 482, 483, 484, 485, 486
487, 488, 489, 490, 491, 492, 493, 494, 495
496, 497, 498, 499, 500, 501, 502, 503, 504
505, 506, 507, 508, 509, 510, 511, 512, 513
514, 515, 516, 517, 518, 519, 520, 521, 522
523, 524, 525, 526, 527, 528, 529, 530, 531
532, 533, 534, 535, 536, 537, 538, 539, 540
541, 542, 543, 544, 545, 546, 547, 548, 549
550, 551, 552, 553, 554, 555, 556, 557, 558
559, 560, 561, 562, 563, 564, 565, 566, 567
568, 569, 570, 571, 572, 573, 574, 575, 576
577, 578, 579, 580, 581, 582, 583, 584, 585
586, 587, 588, 589, 590, 591, 592, 593, 594
595, 596, 597, 598, 599, 600, 601, 602, 603
604, 605, 606, 607, 608, 609, 610, 611, 612
613, 614, 615, 616, 617, 618, 619, 620, 621
622, 623, 624, 625, 626, 627, 628, 629, 630
631, 632, 633, 634, 635, 636, 637, 638, 639
640, 641, 642, 643, 644, 645, 646, 647, 648
649, 650, 651, 652, 653, 654, 655, 656, 657
658, 659, 660, 661, 662, 663, 664, 665, 666
667, 668, 669, 670, 671, 672, 673, 674, 675
676, 677, 678, 679, 680, 681, 682, 683, 684
685, 686, 687, 688, 689, 690, 691, 692, 693
694, 695, 696, 697, 698, 699, 700, 701, 702
703, 704, 705, 706, 707, 708, 709, 710, 711
712, 713, 714, 715, 716, 717, 718, 719, 720
721, 722, 723, 724, 725, 726, 727, 728, 729
730, 731, 732, 733, 734, 735, 736, 737, 738
739, 740, 741, 742, 743, 744, 745, 746, 747
748, 749, 750, 751, 752, 753, 754, 755, 756
757, 758, 759, 760, 761, 762, 763, 764, 765
766, 767, 768, 769, 770, 771, 772, 773, 774
775, 776, 777, 778, 779, 780, 781, 782, 783
784, 785, 786, 787, 788, 789, 790, 791, 792
793, 794, 795, 796, 797, 798, 799, 800, 801
802, 803, 804, 805, 806, 807, 808, 809, 810
811, 812, 813, 814, 815, 816, 817, 818, 819
820, 821, 822, 823, 824, 825, 826, 827, 828
829, 830, 831, 832, 833, 834, 835, 836, 837
838, 839, 840, 841, 842, 843, 844, 845, 846
847, 848, 849, 850, 851, 852, 853, 854, 855
856, 857, 858, 859, 860, 861, 862, 863, 864
865, 866, 867, 868, 869, 870, 871, 872, 873
874, 875, 876, 877, 878, 879, 880, 881, 882
883, 884, 885, 886, 887, 888, 889, 890, 891
892, 893, 894, 895, 896, 897, 898, 899, 900
901, 902, 903, 904, 905, 906, 907, 908, 909
910, 911, 912, 913, 914, 915, 916, 917, 918
919, 920, 921, 922, 923, 924, 925, 926, 927
928, 929, 930, 931, 932, 933, 934, 935, 936
937, 938, 939, 940, 941, 942, 943, 944, 945
946, 947, 948, 949, 950, 951, 952, 953, 954
955, 956, 957, 958, 959, 960, 961, 962, 963
964, 965, 966, 967, 968, 969, 970, 971, 972
973, 974, 975, 976, 977, 978, 979, 980, 981
982, 983, 984, 985, 986, 987, 988, 989, 990
991, 992, 993, 994, 995, 996, 997, 998, 999
1000
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=DREAM3D-1, part=DREAM3D
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 1.000000e+00, 0.000000e+00, 0.000000e+00
3, 2.000000e+00, 0.000000e+00, 0.000000e+00
4, 3.000000e+00, 0.000000e+00, 0.000000e+00
5, 4.000000e+00, 0.000000e+00, 0.000000e+00
6, 5.000000e+00, 0.000000e+00, 0.000000e+00
7, 6.000000e+00, 0.000000e+00, 0.000000e+00
8, 7.000000e+00, 0.000000e+00, 0.000000e+00
9, 8.000000e+00, 0.000000e+00, 0.000000e+00
10, 9.000000e+00, 0.000000e+00, 0.000000e+00
11, 1.000000e+01, 0.000000e+00, 0.000000e+00
12, 0.000000e+00, 1.000000e+00, 0.000000e+00
13, 1.000000e+00, 1.000000e+00, 0.000000e+00
14, 2.000000e+00, 1.000000e+00, 0.000000e+00
15, 3.000000e+00, 1.000000e+00, 0.000000e+00
16, 4.000000e+00, 1.000000e+00, 0.000000e+00
17, 5.000000e+00, 1.000000e+00, 0.000000e+00
18, 6.000000e+00, 1.000000e+00, 0.000000e+00
19, 7.000000e+00, 1.000000e+00, 0.000000e+00
20, 8.000000e+00, 1.000000e+00, 0.000000e+00
21, 9.000000e+00, 1.000000e+00, 0.000000e+00
22, 1.000000e+01, 1.000000e+00, 0.000000e+00
23, 0.000000e+00, 2.000000e+00, 0.000000e+00
24, 1.000000e+00, 2.000000e+00, 0.000000e+00
25, 2.000000e+00, 2.000000e+00, 0.000000e+00
26, 3.000000e+00, 2.000000e+00, 0.000000e+00
27, 4.000000e+00, 2.000000e+00, 0.000000e+00
28, 5.000000e+00, 2.000000e+00, 0.000000e+00
29, 6.000000e+00, 2.000000e+00, 0.000000e+00
30, 7.000000e+00, 2.000000e+00, 0.000000e+00
31, 8.000000e+00, 2.000000e+00, 0.000000e+00
32, 9.000000e+00, 2.000000e+00, 0.000000e+00
33, 1.000000e+01, 2.000000e+00, 0.000000e+00
34, 0.000000e+00, 3.000000e+00, 0.000000e+00
35, 1.000000e+00, 3.000000e+00, 0.000000e+00
36, 2.000000e+00, 3.000000e+00, 0.000000e+00
37, 3.000000e+00, 3.000000e+00, 0.000000e+00
38, 4.000000e+00, 3.000000e+00, 0.000000e+00
39, 5.000000e+00, 3.000000e+00, 0.000000e+00
40, 6.000000e+00, 3.000000e+00, 0.000000e+00
41, 7.000000e+00, 3.000000e+00, 0.000000e+00
42, 8.000000e+00, 3.000000e+00, 0.000000e+00
43, 9.000000e+00, 3.000000e+00, 0.000000e+00
44, 1.000000e+01, 3.000000e+00, 0.000000e+00
45, 0.000000e+00, 4.000000e+00, 0.000000e+00
46, 1.000000e+00, 4.000000e+00, 0.000000e+00
47, 2.000000e+00, 4.000000e+00, 0.000000e+00
48, 3.000000e+00, 4.000000e+00, 0.000000e+00
49, 4.000000e+00, 4.000000e+00, 0.000000e+00
50, 5.000000e+00, 4.000000e+00, 0.000000e+00
51, 6.000000e+00, 4.000000e+00, 0.000000e+00
52, 7.000000e+00, 4.000000e+00, 0.000000e+00
53, 8.000000e+00, 4.000000e+00, 0.000000e+00
54, 9.000000e+00, 4.000000e+00, 0.000000e+00
55, 1.000000e+01, 4.000000e+00, 0.000000e+00
56, 0.000000e+00, 5.000000e+00, 0.000000e+00
57, 1.000000e+00, 5.000000e+00, 0.000000e+00
58, 2.000000e+00, 5.000000e+00, 0.000000e+00
59, 3.000000e+00, 5.000000e+00, 0.000000e+00
60, 4.000000e+00, 5.000000e+00, 0.000000e+00
61, 5.000000e+00, 5.000000e+00, 0.000000e+00
62, 6.000000e+00, 5.000000e+00, 0.000000e+00
63, 7.000000e+00, 5.000000e+00, 0.000000e+00
64, 8.000000e+00, 5.000000e+00, 0.000000e+00
65, 9.000000e+00, 5.000000e+00, 0.000000e+00
66, 1.000000e+01, 5.000000e+00, 0.000000e+00
67, 0.000000e+00, 6.000000e+00, 0.000000e+00
68, 1.000000e+00, 6.000000e+00, 0.000000e+00
69, 2.000000e+00, 6.000000e+00, 0.000000e+00
70, 3.000000e+00, 6.000000e+00, 0.000000e+00
71, 4.000000e+00, 6.000000e+00, 0.000000e+00
72, 5.000000e+00, 6.000000e+00, 0.000000e+00
73, 6.000000e+00, 6.000000e+00, 0.000000e+00
74, 7.000000e+00, 6.000000e+00, 0.000000e+00
75, 8.000000e+00, 6.000000e+00, 0.000000e+00
76, 9.000000e+00, 6.000000e+00, 0.000000e+00
77, 1.000000e+01, 6.000000e+00, 0.000000e+00
78, 0.000000e+00, 7.000000e+00, 0.000000e+00
79, 1.000000e+00, 7.000000e+00, 0.000000e+00
80, 2.000000e+00, 7.000000e+00, 0.000000e+00
81, 3.000000e+00, 7.000000e+00, 0.000000e+00
82, 4.000000e+00, 7.000000e+00, 0.000000e+00
83, 5.000000e+00, 7.000000e+00, 0.000000e+00
84, 6.000000e+00, 7.000000e+00, 0.000000e+00
85, 7.000000e+00, 7.000000e+00, 0.000000e+00
86, 8.000000e+00, 7.000000e+00, 0.000000e+00
87, 9.000000e+00, 7.000000e+00, 0.000000e+00
88, 1.000000e+01, 7.000000e+00, 0.000000e+00
89, 0.000000e+00, 8.000000e+00, 0.000000e+00
90, 1.000000e+00, 8.000000e+00, 0.000000e+00
91, 2.000000e+00, 8.000000e+00, 0.000000e+00
92, 3.000000e+00, 8.000000e+00, 0.000000e+00
93, 4.000000e+00, 8.000000e+00, 0.000000e+00
94, 5.000000e+00, 8.000000e+00, 0.000000e+00
95, 6.000000e+00, 8.000000e+00, 0.000000e+00
96, 7.000000e+00, 8.000000e+00, 0.000000e+00
97, 8.000000e+00, 8.000000e+00, 0.000000e+00
98, 9.000000e+00, 8.000000e+00, 0.000000e+00
99, 1.000000e+01, 8.000000e+00, 0.000000e+00
100, 0.000000e+00, 9.000000e+00, 0.000000e+00
101, 1.000000e+00, 9.000000e+00, 0.000000e+00
102, 2.000000e+00, 9.000000e+00, 0.000000e+00
103, 3.000000e+00, 9.000000e+00, 0.000000e+00
104, 4.000000e+00, 9.000000e+00, 0.000000e+00
105, 5.000000e+00, 9.000000e+00, 0.000000e+00
106, 6.000000e+00, 9.000000e+00, 0.000000e+00
107, 7.000000e+00, 9.000000e+00, 0.000000e+00
108, 8.000000e+00, 9.000000e+00, 0.000000e+00
109, 9.000000e+00, 9.000000e+00, 0.000000e+00
110, 1.000000e+01, 9.000000e+00, 0.000000e+00
111, 0.000000e+00, 1.000000e+01, 0.000000e+00
112, 1.000000e+00, 1.000000e+01, 0.000000e+00
113, 2.000000e+00, 1.000000e+01, 0.000000e+00
114, 3.000000e+00, 1.000000e+01, 0.000000e+00
115, 4.000000e+00, 1.000000e+01, 0.000000e+00
116, 5.000000e+00, 1.000000e+01, 0.000000e+00
117, 6.000000e+00, 1.000000e+01, 0.000000e+00
118, 7.000000e+00, 1.000000e+01, 0.000000e+00
119, 8.000000e+00, 1.000000e+01, 0.000000e+00
120, 9.000000e+00, 1.000000e+01, 0.000000e+00
121, 1.000000e+01, 1.000000e+01, 0.000000e+00
122, 0.000000e+00, 0.000000e+00, 1.000000e+00
123, 1.000000e+00, 0.000000e+00, 1.000000e+00
124, 2.000000e+00, 0.000000e+00, 1.000000e+00
125, 3.000000e+00, 0.000000e+00, 1.000000e+00
126, 4.000000e+00, 0.000000e+00, 1.000000e+00
127, 5.000000e+00, 0.000000e+00, 1.000000e+00
128, 6.000000e+00, 0.000000e+00, 1.000000e+00
129, 7.000000e+00, 0.000000e+00, 1.000000e+00
130, 8.000000e+00, 0.000000e+00, 1.000000e+00
131, 9.000000e+00, 0.000000e+00, 1.000000e+00
132, 1.000000e+01, 0.000000e+00, 1.000000e+00
133, 0.000000e+00, 1.000000e+00, 1.000000e+00
134, 1.000000e+00, 1.000000e+00, 1.000000e+00
135, 2.000000e+00, 1.000000e+00, 1.000000e+00
136, 3.000000e+00, 1.000000e+00, 1.000000e+00
137, 4.000000e+00, 1.000000e+00, 1.000000e+00
138, 5.000000e+00, 1.000000e+00, 1.000000e+00
139, 6.000000e+00, 1.000000e+00, 1.000000e+00
140, 7.000000e+00, 1.000000e+00, 1.000000e+00
141, 8.000000e+00, 1.000000e+00, 1.000000e+00
142, 9.000000e+00, 1.000000e+00, 1.000000e+00
143, 1.000000e+01, 1.000000e+00, 1.000000e+00
144, 0.000000e+00, 2.000000e+00, 1.000000e+00
145, 1.000000e+00, 2.000000e+00, 1.000000e+00
146, 2.000000e+00, 2.000000e+00, 1.000000e+00
147, 3.000000e+00, 2.000000e+00, 1.000000e+00
148, 4.000000e+00, 2.000000e+00, 1.000000e+00
149, 5.000000e+00, 2.000000e+00, 1.000000e+00
150, 6.000000e+00, 2.000000e+00, 1.000000e+00
151, 7.000000e+00, 2.000000e+00, 1.000000e+00
152, 8.000000e+00, 2.000000e+00, 1.000000e+00
153, 9.000000e+00, 2.000000e+00, 1.000000e+00
154, 1.000000e+01, 2.000000e+00, 1.000000e+00
155, 0.000000e+00, 3.000000e+00, 1.000000e+00
156, 1.000000e+00, 3.000000e+00, 1.000000e+00
157, 2.000000e+00, 3.000000e+00, 1.000000e+00
158, 3.000000e+00, 3.000000e+00, 1.000000e+00
159, 4.000000e+00, 3.000000e+00, 1.000000e+00
160, 5.000000e+00, 3.000000e+00, 1.000000e+00
161, 6.000000e+00, 3.000000e+00, 1.000000e+00
162, 7.000000e+00, 3.000000e+00, 1.000000e+00
163, 8.000000e+00, 3.000000e+00, 1.000000e+00
164, 9.000000e+00, 3.000000e+00, 1.000000e+00
165, 1.000000e+01, 3.000000e+00, 1.000000e+00
166, 0.000000e+00, 4.000000e+00, 1.000000e+00
167, 1.000000e+00, 4.000000e+00, 1.000000e+00
168, 2.000000e+00, 4.000000e+00, 1.000000e+00
169, 3.000000e+00, 4.000000e+00, 1.000000e+00
170, 4.000000e+00, 4.000000e+00, 1.000000e+00
171, 5.000000e+00, 4.000000e+00, 1.000000e+00
172, 6.000000e+00, 4.000000e+00, 1.000000e+00
173, 7.000000e+00, 4.000000e+00, 1.000000e+00
174, 8.000000e+00, 4.000000e+00, 1.000000e+00
175, 9.000000e+00, 4.000000e+00, 1.000000e+00
176, 1.000000e+01, 4.000000e+00, 1.000000e+00
177, 0.000000e+00, 5.000000e+00, 1.000000e+00
178, 1.000000e+00, 5.000000e+00, 1.000000e+00
179, 2.000000e+00, 5.000000e+00, 1.000000e+00
180, 3.000000e+00, 5.000000e+00, 1.000000e+00
181, 4.000000e+00, 5.000000e+00, 1.000000e+00
182, 5.000000e+00, 5.000000e+00, 1.000000e+00
183, 6.000000e+00, 5.000000e+00, 1.000000e+00
184, 7.000000e+00, 5.000000e+00, 1.000000e+00
185, 8.000000e+00, 5.000000e+00, 1.000000e+00
186, 9.000000e+00, 5.000000e+00, 1.000000e+00
187, 1.000000e+01, 5.000000e+00, 1.000000e+00
188, 0.000000e+00, 6.000000e+00, 1.000000e+00
189, 1.000000e+00, 6.000000e+00, 1.000000e+00
190, 2.000000e+00, 6.000000e+00, 1.000000e+00
191, 3.000000e+00, 6.000000e+00, 1.000000e+00
192, 4.000000e+00, 6.000000e+00, 1.000000e+00
193, 5.000000e+00, 6.000000e+00, 1.000000e+00
194, 6.000000e+00, 6.000000e+00, 1.000000e+00
195, 7.000000e+00, 6.000000e+00, 1.000000e+00
196, 8.000000e+00, 6.000000e+00, 1.000000e+00
197, 9.000000e+00, 6.000000e+00, 1.000000e+00
198, 1.000000e+01, 6.000000e+00, 1.000000e+00
199, 0.000000e+00, 7.000000e+00, 1.000000e+00
200, 1.000000e+00, 7.000000e+00, 1.000000e+00
201, 2.000000e+00, 7.000000e+00, 1.000000e+00
202, 3.000000e+00, 7.000000e+00, 1.000000e+00
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1207, 7.000000e+00, 1.000000e+01, 9.000000e+00
1208, 8.000000e+00, 1.000000e+01, 9.000000e+00
1209, 9.000000e+00, 1.000000e+01, 9.000000e+00
1210, 1.000000e+01, 1.000000e+01, 9.000000e+00
1211, 0.000000e+00, 0.000000e+00, 1.000000e+01
1212, 1.000000e+00, 0.000000e+00, 1.000000e+01
1213, 2.000000e+00, 0.000000e+00, 1.000000e+01
1214, 3.000000e+00, 0.000000e+00, 1.000000e+01
1215, 4.000000e+00, 0.000000e+00, 1.000000e+01
1216, 5.000000e+00, 0.000000e+00, 1.000000e+01
1217, 6.000000e+00, 0.000000e+00, 1.000000e+01
1218, 7.000000e+00, 0.000000e+00, 1.000000e+01
1219, 8.000000e+00, 0.000000e+00, 1.000000e+01
1220, 9.000000e+00, 0.000000e+00, 1.000000e+01
1221, 1.000000e+01, 0.000000e+00, 1.000000e+01
1222, 0.000000e+00, 1.000000e+00, 1.000000e+01
1223, 1.000000e+00, 1.000000e+00, 1.000000e+01
1224, 2.000000e+00, 1.000000e+00, 1.000000e+01
1225, 3.000000e+00, 1.000000e+00, 1.000000e+01
1226, 4.000000e+00, 1.000000e+00, 1.000000e+01
1227, 5.000000e+00, 1.000000e+00, 1.000000e+01
1228, 6.000000e+00, 1.000000e+00, 1.000000e+01
1229, 7.000000e+00, 1.000000e+00, 1.000000e+01
1230, 8.000000e+00, 1.000000e+00, 1.000000e+01
1231, 9.000000e+00, 1.000000e+00, 1.000000e+01
1232, 1.000000e+01, 1.000000e+00, 1.000000e+01
1233, 0.000000e+00, 2.000000e+00, 1.000000e+01
1234, 1.000000e+00, 2.000000e+00, 1.000000e+01
1235, 2.000000e+00, 2.000000e+00, 1.000000e+01
1236, 3.000000e+00, 2.000000e+00, 1.000000e+01
1237, 4.000000e+00, 2.000000e+00, 1.000000e+01
1238, 5.000000e+00, 2.000000e+00, 1.000000e+01
1239, 6.000000e+00, 2.000000e+00, 1.000000e+01
1240, 7.000000e+00, 2.000000e+00, 1.000000e+01
1241, 8.000000e+00, 2.000000e+00, 1.000000e+01
1242, 9.000000e+00, 2.000000e+00, 1.000000e+01
1243, 1.000000e+01, 2.000000e+00, 1.000000e+01
1244, 0.000000e+00, 3.000000e+00, 1.000000e+01
1245, 1.000000e+00, 3.000000e+00, 1.000000e+01
1246, 2.000000e+00, 3.000000e+00, 1.000000e+01
1247, 3.000000e+00, 3.000000e+00, 1.000000e+01
1248, 4.000000e+00, 3.000000e+00, 1.000000e+01
1249, 5.000000e+00, 3.000000e+00, 1.000000e+01
1250, 6.000000e+00, 3.000000e+00, 1.000000e+01
1251, 7.000000e+00, 3.000000e+00, 1.000000e+01
1252, 8.000000e+00, 3.000000e+00, 1.000000e+01
1253, 9.000000e+00, 3.000000e+00, 1.000000e+01
1254, 1.000000e+01, 3.000000e+00, 1.000000e+01
1255, 0.000000e+00, 4.000000e+00, 1.000000e+01
1256, 1.000000e+00, 4.000000e+00, 1.000000e+01
1257, 2.000000e+00, 4.000000e+00, 1.000000e+01
1258, 3.000000e+00, 4.000000e+00, 1.000000e+01
1259, 4.000000e+00, 4.000000e+00, 1.000000e+01
1260, 5.000000e+00, 4.000000e+00, 1.000000e+01
1261, 6.000000e+00, 4.000000e+00, 1.000000e+01
1262, 7.000000e+00, 4.000000e+00, 1.000000e+01
1263, 8.000000e+00, 4.000000e+00, 1.000000e+01
1264, 9.000000e+00, 4.000000e+00, 1.000000e+01
1265, 1.000000e+01, 4.000000e+00, 1.000000e+01
1266, 0.000000e+00, 5.000000e+00, 1.000000e+01
1267, 1.000000e+00, 5.000000e+00, 1.000000e+01
1268, 2.000000e+00, 5.000000e+00, 1.000000e+01
1269, 3.000000e+00, 5.000000e+00, 1.000000e+01
1270, 4.000000e+00, 5.000000e+00, 1.000000e+01
1271, 5.000000e+00, 5.000000e+00, 1.000000e+01
1272, 6.000000e+00, 5.000000e+00, 1.000000e+01
1273, 7.000000e+00, 5.000000e+00, 1.000000e+01
1274, 8.000000e+00, 5.000000e+00, 1.000000e+01
1275, 9.000000e+00, 5.000000e+00, 1.000000e+01
1276, 1.000000e+01, 5.000000e+00, 1.000000e+01
1277, 0.000000e+00, 6.000000e+00, 1.000000e+01
1278, 1.000000e+00, 6.000000e+00, 1.000000e+01
1279, 2.000000e+00, 6.000000e+00, 1.000000e+01
1280, 3.000000e+00, 6.000000e+00, 1.000000e+01
1281, 4.000000e+00, 6.000000e+00, 1.000000e+01
1282, 5.000000e+00, 6.000000e+00, 1.000000e+01
1283, 6.000000e+00, 6.000000e+00, 1.000000e+01
1284, 7.000000e+00, 6.000000e+00, 1.000000e+01
1285, 8.000000e+00, 6.000000e+00, 1.000000e+01
1286, 9.000000e+00, 6.000000e+00, 1.000000e+01
1287, 1.000000e+01, 6.000000e+00, 1.000000e+01
1288, 0.000000e+00, 7.000000e+00, 1.000000e+01
1289, 1.000000e+00, 7.000000e+00, 1.000000e+01
1290, 2.000000e+00, 7.000000e+00, 1.000000e+01
1291, 3.000000e+00, 7.000000e+00, 1.000000e+01
1292, 4.000000e+00, 7.000000e+00, 1.000000e+01
1293, 5.000000e+00, 7.000000e+00, 1.000000e+01
1294, 6.000000e+00, 7.000000e+00, 1.000000e+01
1295, 7.000000e+00, 7.000000e+00, 1.000000e+01
1296, 8.000000e+00, 7.000000e+00, 1.000000e+01
1297, 9.000000e+00, 7.000000e+00, 1.000000e+01
1298, 1.000000e+01, 7.000000e+00, 1.000000e+01
1299, 0.000000e+00, 8.000000e+00, 1.000000e+01
1300, 1.000000e+00, 8.000000e+00, 1.000000e+01
1301, 2.000000e+00, 8.000000e+00, 1.000000e+01
1302, 3.000000e+00, 8.000000e+00, 1.000000e+01
1303, 4.000000e+00, 8.000000e+00, 1.000000e+01
1304, 5.000000e+00, 8.000000e+00, 1.000000e+01
1305, 6.000000e+00, 8.000000e+00, 1.000000e+01
1306, 7.000000e+00, 8.000000e+00, 1.000000e+01
1307, 8.000000e+00, 8.000000e+00, 1.000000e+01
1308, 9.000000e+00, 8.000000e+00, 1.000000e+01
1309, 1.000000e+01, 8.000000e+00, 1.000000e+01
1310, 0.000000e+00, 9.000000e+00, 1.000000e+01
1311, 1.000000e+00, 9.000000e+00, 1.000000e+01
1312, 2.000000e+00, 9.000000e+00, 1.000000e+01
1313, 3.000000e+00, 9.000000e+00, 1.000000e+01
1314, 4.000000e+00, 9.000000e+00, 1.000000e+01
1315, 5.000000e+00, 9.000000e+00, 1.000000e+01
1316, 6.000000e+00, 9.000000e+00, 1.000000e+01
1317, 7.000000e+00, 9.000000e+00, 1.000000e+01
1318, 8.000000e+00, 9.000000e+00, 1.000000e+01
1319, 9.000000e+00, 9.000000e+00, 1.000000e+01
1320, 1.000000e+01, 9.000000e+00, 1.000000e+01
1321, 0.000000e+00, 1.000000e+01, 1.000000e+01
1322, 1.000000e+00, 1.000000e+01, 1.000000e+01
1323, 2.000000e+00, 1.000000e+01, 1.000000e+01
1324, 3.000000e+00, 1.000000e+01, 1.000000e+01
1325, 4.000000e+00, 1.000000e+01, 1.000000e+01
1326, 5.000000e+00, 1.000000e+01, 1.000000e+01
1327, 6.000000e+00, 1.000000e+01, 1.000000e+01
1328, 7.000000e+00, 1.000000e+01, 1.000000e+01
1329, 8.000000e+00, 1.000000e+01, 1.000000e+01
1330, 9.000000e+00, 1.000000e+01, 1.000000e+01
1331, 1.000000e+01, 1.000000e+01, 1.000000e+01
*Element, type=C3D8
1, 123, 2, 1, 122, 134, 13, 12, 133
2, 124, 3, 2, 123, 135, 14, 13, 134
3, 125, 4, 3, 124, 136, 15, 14, 135
4, 126, 5, 4, 125, 137, 16, 15, 136
5, 127, 6, 5, 126, 138, 17, 16, 137
6, 128, 7, 6, 127, 139, 18, 17, 138
7, 129, 8, 7, 128, 140, 19, 18, 139
8, 130, 9, 8, 129, 141, 20, 19, 140
9, 131, 10, 9, 130, 142, 21, 20, 141
10, 132, 11, 10, 131, 143, 22, 21, 142
11, 134, 13, 12, 133, 145, 24, 23, 144
12, 135, 14, 13, 134, 146, 25, 24, 145
13, 136, 15, 14, 135, 147, 26, 25, 146
14, 137, 16, 15, 136, 148, 27, 26, 147
15, 138, 17, 16, 137, 149, 28, 27, 148
16, 139, 18, 17, 138, 150, 29, 28, 149
17, 140, 19, 18, 139, 151, 30, 29, 150
18, 141, 20, 19, 140, 152, 31, 30, 151
19, 142, 21, 20, 141, 153, 32, 31, 152
20, 143, 22, 21, 142, 154, 33, 32, 153
21, 145, 24, 23, 144, 156, 35, 34, 155
22, 146, 25, 24, 145, 157, 36, 35, 156
23, 147, 26, 25, 146, 158, 37, 36, 157
24, 148, 27, 26, 147, 159, 38, 37, 158
25, 149, 28, 27, 148, 160, 39, 38, 159
26, 150, 29, 28, 149, 161, 40, 39, 160
27, 151, 30, 29, 150, 162, 41, 40, 161
28, 152, 31, 30, 151, 163, 42, 41, 162
29, 153, 32, 31, 152, 164, 43, 42, 163
30, 154, 33, 32, 153, 165, 44, 43, 164
31, 156, 35, 34, 155, 167, 46, 45, 166
32, 157, 36, 35, 156, 168, 47, 46, 167
33, 158, 37, 36, 157, 169, 48, 47, 168
34, 159, 38, 37, 158, 170, 49, 48, 169
35, 160, 39, 38, 159, 171, 50, 49, 170
36, 161, 40, 39, 160, 172, 51, 50, 171
37, 162, 41, 40, 161, 173, 52, 51, 172
38, 163, 42, 41, 162, 174, 53, 52, 173
39, 164, 43, 42, 163, 175, 54, 53, 174
40, 165, 44, 43, 164, 176, 55, 54, 175
41, 167, 46, 45, 166, 178, 57, 56, 177
42, 168, 47, 46, 167, 179, 58, 57, 178
43, 169, 48, 47, 168, 180, 59, 58, 179
44, 170, 49, 48, 169, 181, 60, 59, 180
45, 171, 50, 49, 170, 182, 61, 60, 181
46, 172, 51, 50, 171, 183, 62, 61, 182
47, 173, 52, 51, 172, 184, 63, 62, 183
48, 174, 53, 52, 173, 185, 64, 63, 184
49, 175, 54, 53, 174, 186, 65, 64, 185
50, 176, 55, 54, 175, 187, 66, 65, 186
51, 178, 57, 56, 177, 189, 68, 67, 188
52, 179, 58, 57, 178, 190, 69, 68, 189
53, 180, 59, 58, 179, 191, 70, 69, 190
54, 181, 60, 59, 180, 192, 71, 70, 191
55, 182, 61, 60, 181, 193, 72, 71, 192
56, 183, 62, 61, 182, 194, 73, 72, 193
57, 184, 63, 62, 183, 195, 74, 73, 194
58, 185, 64, 63, 184, 196, 75, 74, 195
59, 186, 65, 64, 185, 197, 76, 75, 196
60, 187, 66, 65, 186, 198, 77, 76, 197
61, 189, 68, 67, 188, 200, 79, 78, 199
62, 190, 69, 68, 189, 201, 80, 79, 200
63, 191, 70, 69, 190, 202, 81, 80, 201
64, 192, 71, 70, 191, 203, 82, 81, 202
65, 193, 72, 71, 192, 204, 83, 82, 203
66, 194, 73, 72, 193, 205, 84, 83, 204
67, 195, 74, 73, 194, 206, 85, 84, 205
68, 196, 75, 74, 195, 207, 86, 85, 206
69, 197, 76, 75, 196, 208, 87, 86, 207
70, 198, 77, 76, 197, 209, 88, 87, 208
71, 200, 79, 78, 199, 211, 90, 89, 210
72, 201, 80, 79, 200, 212, 91, 90, 211
73, 202, 81, 80, 201, 213, 92, 91, 212
74, 203, 82, 81, 202, 214, 93, 92, 213
75, 204, 83, 82, 203, 215, 94, 93, 214
76, 205, 84, 83, 204, 216, 95, 94, 215
77, 206, 85, 84, 205, 217, 96, 95, 216
78, 207, 86, 85, 206, 218, 97, 96, 217
79, 208, 87, 86, 207, 219, 98, 97, 218
80, 209, 88, 87, 208, 220, 99, 98, 219
81, 211, 90, 89, 210, 222, 101, 100, 221
82, 212, 91, 90, 211, 223, 102, 101, 222
83, 213, 92, 91, 212, 224, 103, 102, 223
84, 214, 93, 92, 213, 225, 104, 103, 224
85, 215, 94, 93, 214, 226, 105, 104, 225
86, 216, 95, 94, 215, 227, 106, 105, 226
87, 217, 96, 95, 216, 228, 107, 106, 227
88, 218, 97, 96, 217, 229, 108, 107, 228
89, 219, 98, 97, 218, 230, 109, 108, 229
90, 220, 99, 98, 219, 231, 110, 109, 230
91, 222, 101, 100, 221, 233, 112, 111, 232
92, 223, 102, 101, 222, 234, 113, 112, 233
93, 224, 103, 102, 223, 235, 114, 113, 234
94, 225, 104, 103, 224, 236, 115, 114, 235
95, 226, 105, 104, 225, 237, 116, 115, 236
96, 227, 106, 105, 226, 238, 117, 116, 237
97, 228, 107, 106, 227, 239, 118, 117, 238
98, 229, 108, 107, 228, 240, 119, 118, 239
99, 230, 109, 108, 229, 241, 120, 119, 240
100, 231, 110, 109, 230, 242, 121, 120, 241
101, 244, 123, 122, 243, 255, 134, 133, 254
102, 245, 124, 123, 244, 256, 135, 134, 255
103, 246, 125, 124, 245, 257, 136, 135, 256
104, 247, 126, 125, 246, 258, 137, 136, 257
105, 248, 127, 126, 247, 259, 138, 137, 258
106, 249, 128, 127, 248, 260, 139, 138, 259
107, 250, 129, 128, 249, 261, 140, 139, 260
108, 251, 130, 129, 250, 262, 141, 140, 261
109, 252, 131, 130, 251, 263, 142, 141, 262
110, 253, 132, 131, 252, 264, 143, 142, 263
111, 255, 134, 133, 254, 266, 145, 144, 265
112, 256, 135, 134, 255, 267, 146, 145, 266
113, 257, 136, 135, 256, 268, 147, 146, 267
114, 258, 137, 136, 257, 269, 148, 147, 268
115, 259, 138, 137, 258, 270, 149, 148, 269
116, 260, 139, 138, 259, 271, 150, 149, 270
117, 261, 140, 139, 260, 272, 151, 150, 271
118, 262, 141, 140, 261, 273, 152, 151, 272
119, 263, 142, 141, 262, 274, 153, 152, 273
120, 264, 143, 142, 263, 275, 154, 153, 274
121, 266, 145, 144, 265, 277, 156, 155, 276
122, 267, 146, 145, 266, 278, 157, 156, 277
123, 268, 147, 146, 267, 279, 158, 157, 278
124, 269, 148, 147, 268, 280, 159, 158, 279
125, 270, 149, 148, 269, 281, 160, 159, 280
126, 271, 150, 149, 270, 282, 161, 160, 281
127, 272, 151, 150, 271, 283, 162, 161, 282
128, 273, 152, 151, 272, 284, 163, 162, 283
129, 274, 153, 152, 273, 285, 164, 163, 284
130, 275, 154, 153, 274, 286, 165, 164, 285
131, 277, 156, 155, 276, 288, 167, 166, 287
132, 278, 157, 156, 277, 289, 168, 167, 288
133, 279, 158, 157, 278, 290, 169, 168, 289
134, 280, 159, 158, 279, 291, 170, 169, 290
135, 281, 160, 159, 280, 292, 171, 170, 291
136, 282, 161, 160, 281, 293, 172, 171, 292
137, 283, 162, 161, 282, 294, 173, 172, 293
138, 284, 163, 162, 283, 295, 174, 173, 294
139, 285, 164, 163, 284, 296, 175, 174, 295
140, 286, 165, 164, 285, 297, 176, 175, 296
141, 288, 167, 166, 287, 299, 178, 177, 298
142, 289, 168, 167, 288, 300, 179, 178, 299
143, 290, 169, 168, 289, 301, 180, 179, 300
144, 291, 170, 169, 290, 302, 181, 180, 301
145, 292, 171, 170, 291, 303, 182, 181, 302
146, 293, 172, 171, 292, 304, 183, 182, 303
147, 294, 173, 172, 293, 305, 184, 183, 304
148, 295, 174, 173, 294, 306, 185, 184, 305
149, 296, 175, 174, 295, 307, 186, 185, 306
150, 297, 176, 175, 296, 308, 187, 186, 307
151, 299, 178, 177, 298, 310, 189, 188, 309
152, 300, 179, 178, 299, 311, 190, 189, 310
153, 301, 180, 179, 300, 312, 191, 190, 311
154, 302, 181, 180, 301, 313, 192, 191, 312
155, 303, 182, 181, 302, 314, 193, 192, 313
156, 304, 183, 182, 303, 315, 194, 193, 314
157, 305, 184, 183, 304, 316, 195, 194, 315
158, 306, 185, 184, 305, 317, 196, 195, 316
159, 307, 186, 185, 306, 318, 197, 196, 317
160, 308, 187, 186, 307, 319, 198, 197, 318
161, 310, 189, 188, 309, 321, 200, 199, 320
162, 311, 190, 189, 310, 322, 201, 200, 321
163, 312, 191, 190, 311, 323, 202, 201, 322
164, 313, 192, 191, 312, 324, 203, 202, 323
165, 314, 193, 192, 313, 325, 204, 203, 324
166, 315, 194, 193, 314, 326, 205, 204, 325
167, 316, 195, 194, 315, 327, 206, 205, 326
168, 317, 196, 195, 316, 328, 207, 206, 327
169, 318, 197, 196, 317, 329, 208, 207, 328
170, 319, 198, 197, 318, 330, 209, 208, 329
171, 321, 200, 199, 320, 332, 211, 210, 331
172, 322, 201, 200, 321, 333, 212, 211, 332
173, 323, 202, 201, 322, 334, 213, 212, 333
174, 324, 203, 202, 323, 335, 214, 213, 334
175, 325, 204, 203, 324, 336, 215, 214, 335
176, 326, 205, 204, 325, 337, 216, 215, 336
177, 327, 206, 205, 326, 338, 217, 216, 337
178, 328, 207, 206, 327, 339, 218, 217, 338
179, 329, 208, 207, 328, 340, 219, 218, 339
180, 330, 209, 208, 329, 341, 220, 219, 340
181, 332, 211, 210, 331, 343, 222, 221, 342
182, 333, 212, 211, 332, 344, 223, 222, 343
183, 334, 213, 212, 333, 345, 224, 223, 344
184, 335, 214, 213, 334, 346, 225, 224, 345
185, 336, 215, 214, 335, 347, 226, 225, 346
186, 337, 216, 215, 336, 348, 227, 226, 347
187, 338, 217, 216, 337, 349, 228, 227, 348
188, 339, 218, 217, 338, 350, 229, 228, 349
189, 340, 219, 218, 339, 351, 230, 229, 350
190, 341, 220, 219, 340, 352, 231, 230, 351
191, 343, 222, 221, 342, 354, 233, 232, 353
192, 344, 223, 222, 343, 355, 234, 233, 354
193, 345, 224, 223, 344, 356, 235, 234, 355
194, 346, 225, 224, 345, 357, 236, 235, 356
195, 347, 226, 225, 346, 358, 237, 236, 357
196, 348, 227, 226, 347, 359, 238, 237, 358
197, 349, 228, 227, 348, 360, 239, 238, 359
198, 350, 229, 228, 349, 361, 240, 239, 360
199, 351, 230, 229, 350, 362, 241, 240, 361
200, 352, 231, 230, 351, 363, 242, 241, 362
201, 365, 244, 243, 364, 376, 255, 254, 375
202, 366, 245, 244, 365, 377, 256, 255, 376
203, 367, 246, 245, 366, 378, 257, 256, 377
204, 368, 247, 246, 367, 379, 258, 257, 378
205, 369, 248, 247, 368, 380, 259, 258, 379
206, 370, 249, 248, 369, 381, 260, 259, 380
207, 371, 250, 249, 370, 382, 261, 260, 381
208, 372, 251, 250, 371, 383, 262, 261, 382
209, 373, 252, 251, 372, 384, 263, 262, 383
210, 374, 253, 252, 373, 385, 264, 263, 384
211, 376, 255, 254, 375, 387, 266, 265, 386
212, 377, 256, 255, 376, 388, 267, 266, 387
213, 378, 257, 256, 377, 389, 268, 267, 388
214, 379, 258, 257, 378, 390, 269, 268, 389
215, 380, 259, 258, 379, 391, 270, 269, 390
216, 381, 260, 259, 380, 392, 271, 270, 391
217, 382, 261, 260, 381, 393, 272, 271, 392
218, 383, 262, 261, 382, 394, 273, 272, 393
219, 384, 263, 262, 383, 395, 274, 273, 394
220, 385, 264, 263, 384, 396, 275, 274, 395
221, 387, 266, 265, 386, 398, 277, 276, 397
222, 388, 267, 266, 387, 399, 278, 277, 398
223, 389, 268, 267, 388, 400, 279, 278, 399
224, 390, 269, 268, 389, 401, 280, 279, 400
225, 391, 270, 269, 390, 402, 281, 280, 401
226, 392, 271, 270, 391, 403, 282, 281, 402
227, 393, 272, 271, 392, 404, 283, 282, 403
228, 394, 273, 272, 393, 405, 284, 283, 404
229, 395, 274, 273, 394, 406, 285, 284, 405
230, 396, 275, 274, 395, 407, 286, 285, 406
231, 398, 277, 276, 397, 409, 288, 287, 408
232, 399, 278, 277, 398, 410, 289, 288, 409
233, 400, 279, 278, 399, 411, 290, 289, 410
234, 401, 280, 279, 400, 412, 291, 290, 411
235, 402, 281, 280, 401, 413, 292, 291, 412
236, 403, 282, 281, 402, 414, 293, 292, 413
237, 404, 283, 282, 403, 415, 294, 293, 414
238, 405, 284, 283, 404, 416, 295, 294, 415
239, 406, 285, 284, 405, 417, 296, 295, 416
240, 407, 286, 285, 406, 418, 297, 296, 417
241, 409, 288, 287, 408, 420, 299, 298, 419
242, 410, 289, 288, 409, 421, 300, 299, 420
243, 411, 290, 289, 410, 422, 301, 300, 421
244, 412, 291, 290, 411, 423, 302, 301, 422
245, 413, 292, 291, 412, 424, 303, 302, 423
246, 414, 293, 292, 413, 425, 304, 303, 424
247, 415, 294, 293, 414, 426, 305, 304, 425
248, 416, 295, 294, 415, 427, 306, 305, 426
249, 417, 296, 295, 416, 428, 307, 306, 427
250, 418, 297, 296, 417, 429, 308, 307, 428
251, 420, 299, 298, 419, 431, 310, 309, 430
252, 421, 300, 299, 420, 432, 311, 310, 431
253, 422, 301, 300, 421, 433, 312, 311, 432
254, 423, 302, 301, 422, 434, 313, 312, 433
255, 424, 303, 302, 423, 435, 314, 313, 434
256, 425, 304, 303, 424, 436, 315, 314, 435
257, 426, 305, 304, 425, 437, 316, 315, 436
258, 427, 306, 305, 426, 438, 317, 316, 437
259, 428, 307, 306, 427, 439, 318, 317, 438
260, 429, 308, 307, 428, 440, 319, 318, 439
261, 431, 310, 309, 430, 442, 321, 320, 441
262, 432, 311, 310, 431, 443, 322, 321, 442
263, 433, 312, 311, 432, 444, 323, 322, 443
264, 434, 313, 312, 433, 445, 324, 323, 444
265, 435, 314, 313, 434, 446, 325, 324, 445
266, 436, 315, 314, 435, 447, 326, 325, 446
267, 437, 316, 315, 436, 448, 327, 326, 447
268, 438, 317, 316, 437, 449, 328, 327, 448
269, 439, 318, 317, 438, 450, 329, 328, 449
270, 440, 319, 318, 439, 451, 330, 329, 450
271, 442, 321, 320, 441, 453, 332, 331, 452
272, 443, 322, 321, 442, 454, 333, 332, 453
273, 444, 323, 322, 443, 455, 334, 333, 454
274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=6
131.57,106.934,219.914,1,2,0
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=6
207.046,89.158,335.024,2,2,0
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=6
178.061,37.773,321.494,3,2,0
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=6
234.272,107.927,232.783,4,2,0
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=6
131.024,82.927,261.214,5,2,0
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=6
123.609,63.988,170.189,6,2,0
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=6
78.282,94.024,208.666,7,2,0
**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.01, 10., 1e-05, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Dream3D2Abaqus/Step-2b Python/testcase.vox
================================================
234.272 107.927 232.783 1 1 1 4 1
234.272 107.927 232.783 2 1 1 4 1
234.272 107.927 232.783 3 1 1 4 1
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234.272 107.927 232.783 1 1 2 4 1
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131.024 82.927 261.214 10 6 3 5 1
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78.282 94.024 208.666 1 8 3 7 1
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78.282 94.024 208.666 1 9 3 7 1
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207.046 89.158 335.024 4 9 3 2 1
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207.046 89.158 335.024 10 9 3 2 1
78.282 94.024 208.666 1 10 3 7 1
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178.061 37.773 321.494 3 10 3 3 1
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123.609 63.988 170.189 10 10 3 6 1
234.272 107.927 232.783 1 1 4 4 1
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131.024 82.927 261.214 6 1 4 5 1
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131.024 82.927 261.214 6 2 4 5 1
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234.272 107.927 232.783 1 3 4 4 1
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131.024 82.927 261.214 5 3 4 5 1
131.024 82.927 261.214 6 3 4 5 1
131.024 82.927 261.214 7 3 4 5 1
131.024 82.927 261.214 8 3 4 5 1
131.024 82.927 261.214 9 3 4 5 1
131.024 82.927 261.214 10 3 4 5 1
234.272 107.927 232.783 1 4 4 4 1
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234.272 107.927 232.783 4 4 4 4 1
131.024 82.927 261.214 5 4 4 5 1
131.024 82.927 261.214 6 4 4 5 1
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FILE: Dream3D2Abaqus/Step-2b Python/testcase_elems.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
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274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2b Python/testcase_elset.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
** The element sets
*Elset, elset=cube, generate
1, 1000, 1
**
** Each Grain is made up of multiple elements
**
*Elset, elset=Grain1_set
505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618,
624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712,
713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729,
730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809,
810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825,
826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847,
848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914,
915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930,
931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949,
950
*Elset, elset=Grain2_set
35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64,
65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85,
86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145,
146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169,
170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194,
195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259,
264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285,
286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356,
357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386,
387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477
*Elset, elset=Grain3_set
193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453,
454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492,
493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554,
555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576,
577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632,
633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657,
661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682,
683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741,
742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763,
764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785,
786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851,
852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873,
874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895,
896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964,
965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986,
987, 991, 992, 993, 994, 995, 996, 997
*Elset, elset=Grain4_set
1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31,
32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121,
122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211,
212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303,
304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401,
402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433,
434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533,
601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721
*Elset, elset=Grain5_set
6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38,
39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 120, 126, 127,
128, 129, 130, 136, 137, 138, 139, 140, 149, 150, 206, 207, 208, 209, 210, 216,
217, 218, 219, 220, 226, 227, 228, 229, 230, 235, 236, 237, 238, 239, 240, 248,
249, 250, 260, 306, 307, 308, 309, 310, 316, 317, 318, 319, 320, 325, 326, 327,
328, 329, 330, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 360, 406, 407,
408, 409, 410, 416, 417, 418, 419, 420, 425, 426, 427, 428, 429, 430, 435, 436,
437, 438, 439, 440, 447, 448, 449, 450, 507, 508, 509, 510, 517, 518, 519, 520,
525, 526, 527, 528, 529, 530, 536, 537, 538, 539, 540, 547, 548, 549, 550, 610,
619, 620, 628, 629, 630, 637, 638, 639, 640, 648, 740
*Elset, elset=Grain6_set
300, 370, 380, 389, 390, 398, 399, 400, 460, 469, 470, 478, 479, 480, 487, 488,
489, 490, 497, 498, 499, 500, 558, 559, 560, 568, 569, 570, 578, 579, 580, 588,
589, 590, 597, 598, 599, 600, 649, 650, 658, 659, 660, 668, 669, 670, 678, 679,
680, 688, 689, 690, 698, 699, 700, 748, 749, 750, 758, 759, 760, 768, 769, 770,
778, 779, 780, 788, 789, 790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870,
878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978,
979, 980, 988, 989, 990, 998, 999, 1000
*Elset, elset=Grain7_set
41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151,
152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243,
251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342,
343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452,
461, 462, 471, 472
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2b Python/testcase_nodes.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
*Node
1, 0.000000, 0.000000, 0.000000
2, 1.000000, 0.000000, 0.000000
3, 2.000000, 0.000000, 0.000000
4, 3.000000, 0.000000, 0.000000
5, 4.000000, 0.000000, 0.000000
6, 5.000000, 0.000000, 0.000000
7, 6.000000, 0.000000, 0.000000
8, 7.000000, 0.000000, 0.000000
9, 8.000000, 0.000000, 0.000000
10, 9.000000, 0.000000, 0.000000
11, 10.000000, 0.000000, 0.000000
12, 0.000000, 1.000000, 0.000000
13, 1.000000, 1.000000, 0.000000
14, 2.000000, 1.000000, 0.000000
15, 3.000000, 1.000000, 0.000000
16, 4.000000, 1.000000, 0.000000
17, 5.000000, 1.000000, 0.000000
18, 6.000000, 1.000000, 0.000000
19, 7.000000, 1.000000, 0.000000
20, 8.000000, 1.000000, 0.000000
21, 9.000000, 1.000000, 0.000000
22, 10.000000, 1.000000, 0.000000
23, 0.000000, 2.000000, 0.000000
24, 1.000000, 2.000000, 0.000000
25, 2.000000, 2.000000, 0.000000
26, 3.000000, 2.000000, 0.000000
27, 4.000000, 2.000000, 0.000000
28, 5.000000, 2.000000, 0.000000
29, 6.000000, 2.000000, 0.000000
30, 7.000000, 2.000000, 0.000000
31, 8.000000, 2.000000, 0.000000
32, 9.000000, 2.000000, 0.000000
33, 10.000000, 2.000000, 0.000000
34, 0.000000, 3.000000, 0.000000
35, 1.000000, 3.000000, 0.000000
36, 2.000000, 3.000000, 0.000000
37, 3.000000, 3.000000, 0.000000
38, 4.000000, 3.000000, 0.000000
39, 5.000000, 3.000000, 0.000000
40, 6.000000, 3.000000, 0.000000
41, 7.000000, 3.000000, 0.000000
42, 8.000000, 3.000000, 0.000000
43, 9.000000, 3.000000, 0.000000
44, 10.000000, 3.000000, 0.000000
45, 0.000000, 4.000000, 0.000000
46, 1.000000, 4.000000, 0.000000
47, 2.000000, 4.000000, 0.000000
48, 3.000000, 4.000000, 0.000000
49, 4.000000, 4.000000, 0.000000
50, 5.000000, 4.000000, 0.000000
51, 6.000000, 4.000000, 0.000000
52, 7.000000, 4.000000, 0.000000
53, 8.000000, 4.000000, 0.000000
54, 9.000000, 4.000000, 0.000000
55, 10.000000, 4.000000, 0.000000
56, 0.000000, 5.000000, 0.000000
57, 1.000000, 5.000000, 0.000000
58, 2.000000, 5.000000, 0.000000
59, 3.000000, 5.000000, 0.000000
60, 4.000000, 5.000000, 0.000000
61, 5.000000, 5.000000, 0.000000
62, 6.000000, 5.000000, 0.000000
63, 7.000000, 5.000000, 0.000000
64, 8.000000, 5.000000, 0.000000
65, 9.000000, 5.000000, 0.000000
66, 10.000000, 5.000000, 0.000000
67, 0.000000, 6.000000, 0.000000
68, 1.000000, 6.000000, 0.000000
69, 2.000000, 6.000000, 0.000000
70, 3.000000, 6.000000, 0.000000
71, 4.000000, 6.000000, 0.000000
72, 5.000000, 6.000000, 0.000000
73, 6.000000, 6.000000, 0.000000
74, 7.000000, 6.000000, 0.000000
75, 8.000000, 6.000000, 0.000000
76, 9.000000, 6.000000, 0.000000
77, 10.000000, 6.000000, 0.000000
78, 0.000000, 7.000000, 0.000000
79, 1.000000, 7.000000, 0.000000
80, 2.000000, 7.000000, 0.000000
81, 3.000000, 7.000000, 0.000000
82, 4.000000, 7.000000, 0.000000
83, 5.000000, 7.000000, 0.000000
84, 6.000000, 7.000000, 0.000000
85, 7.000000, 7.000000, 0.000000
86, 8.000000, 7.000000, 0.000000
87, 9.000000, 7.000000, 0.000000
88, 10.000000, 7.000000, 0.000000
89, 0.000000, 8.000000, 0.000000
90, 1.000000, 8.000000, 0.000000
91, 2.000000, 8.000000, 0.000000
92, 3.000000, 8.000000, 0.000000
93, 4.000000, 8.000000, 0.000000
94, 5.000000, 8.000000, 0.000000
95, 6.000000, 8.000000, 0.000000
96, 7.000000, 8.000000, 0.000000
97, 8.000000, 8.000000, 0.000000
98, 9.000000, 8.000000, 0.000000
99, 10.000000, 8.000000, 0.000000
100, 0.000000, 9.000000, 0.000000
101, 1.000000, 9.000000, 0.000000
102, 2.000000, 9.000000, 0.000000
103, 3.000000, 9.000000, 0.000000
104, 4.000000, 9.000000, 0.000000
105, 5.000000, 9.000000, 0.000000
106, 6.000000, 9.000000, 0.000000
107, 7.000000, 9.000000, 0.000000
108, 8.000000, 9.000000, 0.000000
109, 9.000000, 9.000000, 0.000000
110, 10.000000, 9.000000, 0.000000
111, 0.000000, 10.000000, 0.000000
112, 1.000000, 10.000000, 0.000000
113, 2.000000, 10.000000, 0.000000
114, 3.000000, 10.000000, 0.000000
115, 4.000000, 10.000000, 0.000000
116, 5.000000, 10.000000, 0.000000
117, 6.000000, 10.000000, 0.000000
118, 7.000000, 10.000000, 0.000000
119, 8.000000, 10.000000, 0.000000
120, 9.000000, 10.000000, 0.000000
121, 10.000000, 10.000000, 0.000000
122, 0.000000, 0.000000, 1.000000
123, 1.000000, 0.000000, 1.000000
124, 2.000000, 0.000000, 1.000000
125, 3.000000, 0.000000, 1.000000
126, 4.000000, 0.000000, 1.000000
127, 5.000000, 0.000000, 1.000000
128, 6.000000, 0.000000, 1.000000
129, 7.000000, 0.000000, 1.000000
130, 8.000000, 0.000000, 1.000000
131, 9.000000, 0.000000, 1.000000
132, 10.000000, 0.000000, 1.000000
133, 0.000000, 1.000000, 1.000000
134, 1.000000, 1.000000, 1.000000
135, 2.000000, 1.000000, 1.000000
136, 3.000000, 1.000000, 1.000000
137, 4.000000, 1.000000, 1.000000
138, 5.000000, 1.000000, 1.000000
139, 6.000000, 1.000000, 1.000000
140, 7.000000, 1.000000, 1.000000
141, 8.000000, 1.000000, 1.000000
142, 9.000000, 1.000000, 1.000000
143, 10.000000, 1.000000, 1.000000
144, 0.000000, 2.000000, 1.000000
145, 1.000000, 2.000000, 1.000000
146, 2.000000, 2.000000, 1.000000
147, 3.000000, 2.000000, 1.000000
148, 4.000000, 2.000000, 1.000000
149, 5.000000, 2.000000, 1.000000
150, 6.000000, 2.000000, 1.000000
151, 7.000000, 2.000000, 1.000000
152, 8.000000, 2.000000, 1.000000
153, 9.000000, 2.000000, 1.000000
154, 10.000000, 2.000000, 1.000000
155, 0.000000, 3.000000, 1.000000
156, 1.000000, 3.000000, 1.000000
157, 2.000000, 3.000000, 1.000000
158, 3.000000, 3.000000, 1.000000
159, 4.000000, 3.000000, 1.000000
160, 5.000000, 3.000000, 1.000000
161, 6.000000, 3.000000, 1.000000
162, 7.000000, 3.000000, 1.000000
163, 8.000000, 3.000000, 1.000000
164, 9.000000, 3.000000, 1.000000
165, 10.000000, 3.000000, 1.000000
166, 0.000000, 4.000000, 1.000000
167, 1.000000, 4.000000, 1.000000
168, 2.000000, 4.000000, 1.000000
169, 3.000000, 4.000000, 1.000000
170, 4.000000, 4.000000, 1.000000
171, 5.000000, 4.000000, 1.000000
172, 6.000000, 4.000000, 1.000000
173, 7.000000, 4.000000, 1.000000
174, 8.000000, 4.000000, 1.000000
175, 9.000000, 4.000000, 1.000000
176, 10.000000, 4.000000, 1.000000
177, 0.000000, 5.000000, 1.000000
178, 1.000000, 5.000000, 1.000000
179, 2.000000, 5.000000, 1.000000
180, 3.000000, 5.000000, 1.000000
181, 4.000000, 5.000000, 1.000000
182, 5.000000, 5.000000, 1.000000
183, 6.000000, 5.000000, 1.000000
184, 7.000000, 5.000000, 1.000000
185, 8.000000, 5.000000, 1.000000
186, 9.000000, 5.000000, 1.000000
187, 10.000000, 5.000000, 1.000000
188, 0.000000, 6.000000, 1.000000
189, 1.000000, 6.000000, 1.000000
190, 2.000000, 6.000000, 1.000000
191, 3.000000, 6.000000, 1.000000
192, 4.000000, 6.000000, 1.000000
193, 5.000000, 6.000000, 1.000000
194, 6.000000, 6.000000, 1.000000
195, 7.000000, 6.000000, 1.000000
196, 8.000000, 6.000000, 1.000000
197, 9.000000, 6.000000, 1.000000
198, 10.000000, 6.000000, 1.000000
199, 0.000000, 7.000000, 1.000000
200, 1.000000, 7.000000, 1.000000
201, 2.000000, 7.000000, 1.000000
202, 3.000000, 7.000000, 1.000000
203, 4.000000, 7.000000, 1.000000
204, 5.000000, 7.000000, 1.000000
205, 6.000000, 7.000000, 1.000000
206, 7.000000, 7.000000, 1.000000
207, 8.000000, 7.000000, 1.000000
208, 9.000000, 7.000000, 1.000000
209, 10.000000, 7.000000, 1.000000
210, 0.000000, 8.000000, 1.000000
211, 1.000000, 8.000000, 1.000000
212, 2.000000, 8.000000, 1.000000
213, 3.000000, 8.000000, 1.000000
214, 4.000000, 8.000000, 1.000000
215, 5.000000, 8.000000, 1.000000
216, 6.000000, 8.000000, 1.000000
217, 7.000000, 8.000000, 1.000000
218, 8.000000, 8.000000, 1.000000
219, 9.000000, 8.000000, 1.000000
220, 10.000000, 8.000000, 1.000000
221, 0.000000, 9.000000, 1.000000
222, 1.000000, 9.000000, 1.000000
223, 2.000000, 9.000000, 1.000000
224, 3.000000, 9.000000, 1.000000
225, 4.000000, 9.000000, 1.000000
226, 5.000000, 9.000000, 1.000000
227, 6.000000, 9.000000, 1.000000
228, 7.000000, 9.000000, 1.000000
229, 8.000000, 9.000000, 1.000000
230, 9.000000, 9.000000, 1.000000
231, 10.000000, 9.000000, 1.000000
232, 0.000000, 10.000000, 1.000000
233, 1.000000, 10.000000, 1.000000
234, 2.000000, 10.000000, 1.000000
235, 3.000000, 10.000000, 1.000000
236, 4.000000, 10.000000, 1.000000
237, 5.000000, 10.000000, 1.000000
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1301, 2.000000, 8.000000, 10.000000
1302, 3.000000, 8.000000, 10.000000
1303, 4.000000, 8.000000, 10.000000
1304, 5.000000, 8.000000, 10.000000
1305, 6.000000, 8.000000, 10.000000
1306, 7.000000, 8.000000, 10.000000
1307, 8.000000, 8.000000, 10.000000
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1309, 10.000000, 8.000000, 10.000000
1310, 0.000000, 9.000000, 10.000000
1311, 1.000000, 9.000000, 10.000000
1312, 2.000000, 9.000000, 10.000000
1313, 3.000000, 9.000000, 10.000000
1314, 4.000000, 9.000000, 10.000000
1315, 5.000000, 9.000000, 10.000000
1316, 6.000000, 9.000000, 10.000000
1317, 7.000000, 9.000000, 10.000000
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1319, 9.000000, 9.000000, 10.000000
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1322, 1.000000, 10.000000, 10.000000
1323, 2.000000, 10.000000, 10.000000
1324, 3.000000, 10.000000, 10.000000
1325, 4.000000, 10.000000, 10.000000
1326, 5.000000, 10.000000, 10.000000
1327, 6.000000, 10.000000, 10.000000
1328, 7.000000, 10.000000, 10.000000
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999999, 0.000000, 0.000000, 0.000000
**
** ----------------------------------------------------------------
**
================================================
FILE: Dream3D2Abaqus/Step-2b Python/testcase_sects.inp
================================================
** Generated by : ImportExport Version 6.5.160.2320e899c
** ----------------------------------------------------------------
**
** Each section is a separate grain
** Section: Grain1
*Solid Section, elset=Grain1_set, material=Grain_Mat1
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain2
*Solid Section, elset=Grain2_set, material=Grain_Mat2
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain3
*Solid Section, elset=Grain3_set, material=Grain_Mat3
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain4
*Solid Section, elset=Grain4_set, material=Grain_Mat4
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain5
*Solid Section, elset=Grain5_set, material=Grain_Mat5
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain6
*Solid Section, elset=Grain6_set, material=Grain_Mat6
*Hourglass Stiffness
250
** --------------------------------------
** Section: Grain7
*Solid Section, elset=Grain7_set, material=Grain_Mat7
*Hourglass Stiffness
250
** --------------------------------------
**
** ----------------------------------------------------------------
**
================================================
FILE: Example - Polycrytal with PROPS/Job-1.inp
================================================
*Heading
** Job name: Job-1 Model name: testcase
** Generated by: Abaqus/CAE 2021
*Preprint, echo=NO, model=NO, history=NO, contact=NO
**
** PARTS
**
*Part, name=DREAM3D
*Node
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708, 3., 9., 5.
709, 4., 9., 5.
710, 5., 9., 5.
711, 6., 9., 5.
712, 7., 9., 5.
713, 8., 9., 5.
714, 9., 9., 5.
715, 10., 9., 5.
716, 0., 10., 5.
717, 1., 10., 5.
718, 2., 10., 5.
719, 3., 10., 5.
720, 4., 10., 5.
721, 5., 10., 5.
722, 6., 10., 5.
723, 7., 10., 5.
724, 8., 10., 5.
725, 9., 10., 5.
726, 10., 10., 5.
727, 0., 0., 6.
728, 1., 0., 6.
729, 2., 0., 6.
730, 3., 0., 6.
731, 4., 0., 6.
732, 5., 0., 6.
733, 6., 0., 6.
734, 7., 0., 6.
735, 8., 0., 6.
736, 9., 0., 6.
737, 10., 0., 6.
738, 0., 1., 6.
739, 1., 1., 6.
740, 2., 1., 6.
741, 3., 1., 6.
742, 4., 1., 6.
743, 5., 1., 6.
744, 6., 1., 6.
745, 7., 1., 6.
746, 8., 1., 6.
747, 9., 1., 6.
748, 10., 1., 6.
749, 0., 2., 6.
750, 1., 2., 6.
751, 2., 2., 6.
752, 3., 2., 6.
753, 4., 2., 6.
754, 5., 2., 6.
755, 6., 2., 6.
756, 7., 2., 6.
757, 8., 2., 6.
758, 9., 2., 6.
759, 10., 2., 6.
760, 0., 3., 6.
761, 1., 3., 6.
762, 2., 3., 6.
763, 3., 3., 6.
764, 4., 3., 6.
765, 5., 3., 6.
766, 6., 3., 6.
767, 7., 3., 6.
768, 8., 3., 6.
769, 9., 3., 6.
770, 10., 3., 6.
771, 0., 4., 6.
772, 1., 4., 6.
773, 2., 4., 6.
774, 3., 4., 6.
775, 4., 4., 6.
776, 5., 4., 6.
777, 6., 4., 6.
778, 7., 4., 6.
779, 8., 4., 6.
780, 9., 4., 6.
781, 10., 4., 6.
782, 0., 5., 6.
783, 1., 5., 6.
784, 2., 5., 6.
785, 3., 5., 6.
786, 4., 5., 6.
787, 5., 5., 6.
788, 6., 5., 6.
789, 7., 5., 6.
790, 8., 5., 6.
791, 9., 5., 6.
792, 10., 5., 6.
793, 0., 6., 6.
794, 1., 6., 6.
795, 2., 6., 6.
796, 3., 6., 6.
797, 4., 6., 6.
798, 5., 6., 6.
799, 6., 6., 6.
800, 7., 6., 6.
801, 8., 6., 6.
802, 9., 6., 6.
803, 10., 6., 6.
804, 0., 7., 6.
805, 1., 7., 6.
806, 2., 7., 6.
807, 3., 7., 6.
808, 4., 7., 6.
809, 5., 7., 6.
810, 6., 7., 6.
811, 7., 7., 6.
812, 8., 7., 6.
813, 9., 7., 6.
814, 10., 7., 6.
815, 0., 8., 6.
816, 1., 8., 6.
817, 2., 8., 6.
818, 3., 8., 6.
819, 4., 8., 6.
820, 5., 8., 6.
821, 6., 8., 6.
822, 7., 8., 6.
823, 8., 8., 6.
824, 9., 8., 6.
825, 10., 8., 6.
826, 0., 9., 6.
827, 1., 9., 6.
828, 2., 9., 6.
829, 3., 9., 6.
830, 4., 9., 6.
831, 5., 9., 6.
832, 6., 9., 6.
833, 7., 9., 6.
834, 8., 9., 6.
835, 9., 9., 6.
836, 10., 9., 6.
837, 0., 10., 6.
838, 1., 10., 6.
839, 2., 10., 6.
840, 3., 10., 6.
841, 4., 10., 6.
842, 5., 10., 6.
843, 6., 10., 6.
844, 7., 10., 6.
845, 8., 10., 6.
846, 9., 10., 6.
847, 10., 10., 6.
848, 0., 0., 7.
849, 1., 0., 7.
850, 2., 0., 7.
851, 3., 0., 7.
852, 4., 0., 7.
853, 5., 0., 7.
854, 6., 0., 7.
855, 7., 0., 7.
856, 8., 0., 7.
857, 9., 0., 7.
858, 10., 0., 7.
859, 0., 1., 7.
860, 1., 1., 7.
861, 2., 1., 7.
862, 3., 1., 7.
863, 4., 1., 7.
864, 5., 1., 7.
865, 6., 1., 7.
866, 7., 1., 7.
867, 8., 1., 7.
868, 9., 1., 7.
869, 10., 1., 7.
870, 0., 2., 7.
871, 1., 2., 7.
872, 2., 2., 7.
873, 3., 2., 7.
874, 4., 2., 7.
875, 5., 2., 7.
876, 6., 2., 7.
877, 7., 2., 7.
878, 8., 2., 7.
879, 9., 2., 7.
880, 10., 2., 7.
881, 0., 3., 7.
882, 1., 3., 7.
883, 2., 3., 7.
884, 3., 3., 7.
885, 4., 3., 7.
886, 5., 3., 7.
887, 6., 3., 7.
888, 7., 3., 7.
889, 8., 3., 7.
890, 9., 3., 7.
891, 10., 3., 7.
892, 0., 4., 7.
893, 1., 4., 7.
894, 2., 4., 7.
895, 3., 4., 7.
896, 4., 4., 7.
897, 5., 4., 7.
898, 6., 4., 7.
899, 7., 4., 7.
900, 8., 4., 7.
901, 9., 4., 7.
902, 10., 4., 7.
903, 0., 5., 7.
904, 1., 5., 7.
905, 2., 5., 7.
906, 3., 5., 7.
907, 4., 5., 7.
908, 5., 5., 7.
909, 6., 5., 7.
910, 7., 5., 7.
911, 8., 5., 7.
912, 9., 5., 7.
913, 10., 5., 7.
914, 0., 6., 7.
915, 1., 6., 7.
916, 2., 6., 7.
917, 3., 6., 7.
918, 4., 6., 7.
919, 5., 6., 7.
920, 6., 6., 7.
921, 7., 6., 7.
922, 8., 6., 7.
923, 9., 6., 7.
924, 10., 6., 7.
925, 0., 7., 7.
926, 1., 7., 7.
927, 2., 7., 7.
928, 3., 7., 7.
929, 4., 7., 7.
930, 5., 7., 7.
931, 6., 7., 7.
932, 7., 7., 7.
933, 8., 7., 7.
934, 9., 7., 7.
935, 10., 7., 7.
936, 0., 8., 7.
937, 1., 8., 7.
938, 2., 8., 7.
939, 3., 8., 7.
940, 4., 8., 7.
941, 5., 8., 7.
942, 6., 8., 7.
943, 7., 8., 7.
944, 8., 8., 7.
945, 9., 8., 7.
946, 10., 8., 7.
947, 0., 9., 7.
948, 1., 9., 7.
949, 2., 9., 7.
950, 3., 9., 7.
951, 4., 9., 7.
952, 5., 9., 7.
953, 6., 9., 7.
954, 7., 9., 7.
955, 8., 9., 7.
956, 9., 9., 7.
957, 10., 9., 7.
958, 0., 10., 7.
959, 1., 10., 7.
960, 2., 10., 7.
961, 3., 10., 7.
962, 4., 10., 7.
963, 5., 10., 7.
964, 6., 10., 7.
965, 7., 10., 7.
966, 8., 10., 7.
967, 9., 10., 7.
968, 10., 10., 7.
969, 0., 0., 8.
970, 1., 0., 8.
971, 2., 0., 8.
972, 3., 0., 8.
973, 4., 0., 8.
974, 5., 0., 8.
975, 6., 0., 8.
976, 7., 0., 8.
977, 8., 0., 8.
978, 9., 0., 8.
979, 10., 0., 8.
980, 0., 1., 8.
981, 1., 1., 8.
982, 2., 1., 8.
983, 3., 1., 8.
984, 4., 1., 8.
985, 5., 1., 8.
986, 6., 1., 8.
987, 7., 1., 8.
988, 8., 1., 8.
989, 9., 1., 8.
990, 10., 1., 8.
991, 0., 2., 8.
992, 1., 2., 8.
993, 2., 2., 8.
994, 3., 2., 8.
995, 4., 2., 8.
996, 5., 2., 8.
997, 6., 2., 8.
998, 7., 2., 8.
999, 8., 2., 8.
1000, 9., 2., 8.
1001, 10., 2., 8.
1002, 0., 3., 8.
1003, 1., 3., 8.
1004, 2., 3., 8.
1005, 3., 3., 8.
1006, 4., 3., 8.
1007, 5., 3., 8.
1008, 6., 3., 8.
1009, 7., 3., 8.
1010, 8., 3., 8.
1011, 9., 3., 8.
1012, 10., 3., 8.
1013, 0., 4., 8.
1014, 1., 4., 8.
1015, 2., 4., 8.
1016, 3., 4., 8.
1017, 4., 4., 8.
1018, 5., 4., 8.
1019, 6., 4., 8.
1020, 7., 4., 8.
1021, 8., 4., 8.
1022, 9., 4., 8.
1023, 10., 4., 8.
1024, 0., 5., 8.
1025, 1., 5., 8.
1026, 2., 5., 8.
1027, 3., 5., 8.
1028, 4., 5., 8.
1029, 5., 5., 8.
1030, 6., 5., 8.
1031, 7., 5., 8.
1032, 8., 5., 8.
1033, 9., 5., 8.
1034, 10., 5., 8.
1035, 0., 6., 8.
1036, 1., 6., 8.
1037, 2., 6., 8.
1038, 3., 6., 8.
1039, 4., 6., 8.
1040, 5., 6., 8.
1041, 6., 6., 8.
1042, 7., 6., 8.
1043, 8., 6., 8.
1044, 9., 6., 8.
1045, 10., 6., 8.
1046, 0., 7., 8.
1047, 1., 7., 8.
1048, 2., 7., 8.
1049, 3., 7., 8.
1050, 4., 7., 8.
1051, 5., 7., 8.
1052, 6., 7., 8.
1053, 7., 7., 8.
1054, 8., 7., 8.
1055, 9., 7., 8.
1056, 10., 7., 8.
1057, 0., 8., 8.
1058, 1., 8., 8.
1059, 2., 8., 8.
1060, 3., 8., 8.
1061, 4., 8., 8.
1062, 5., 8., 8.
1063, 6., 8., 8.
1064, 7., 8., 8.
1065, 8., 8., 8.
1066, 9., 8., 8.
1067, 10., 8., 8.
1068, 0., 9., 8.
1069, 1., 9., 8.
1070, 2., 9., 8.
1071, 3., 9., 8.
1072, 4., 9., 8.
1073, 5., 9., 8.
1074, 6., 9., 8.
1075, 7., 9., 8.
1076, 8., 9., 8.
1077, 9., 9., 8.
1078, 10., 9., 8.
1079, 0., 10., 8.
1080, 1., 10., 8.
1081, 2., 10., 8.
1082, 3., 10., 8.
1083, 4., 10., 8.
1084, 5., 10., 8.
1085, 6., 10., 8.
1086, 7., 10., 8.
1087, 8., 10., 8.
1088, 9., 10., 8.
1089, 10., 10., 8.
1090, 0., 0., 9.
1091, 1., 0., 9.
1092, 2., 0., 9.
1093, 3., 0., 9.
1094, 4., 0., 9.
1095, 5., 0., 9.
1096, 6., 0., 9.
1097, 7., 0., 9.
1098, 8., 0., 9.
1099, 9., 0., 9.
1100, 10., 0., 9.
1101, 0., 1., 9.
1102, 1., 1., 9.
1103, 2., 1., 9.
1104, 3., 1., 9.
1105, 4., 1., 9.
1106, 5., 1., 9.
1107, 6., 1., 9.
1108, 7., 1., 9.
1109, 8., 1., 9.
1110, 9., 1., 9.
1111, 10., 1., 9.
1112, 0., 2., 9.
1113, 1., 2., 9.
1114, 2., 2., 9.
1115, 3., 2., 9.
1116, 4., 2., 9.
1117, 5., 2., 9.
1118, 6., 2., 9.
1119, 7., 2., 9.
1120, 8., 2., 9.
1121, 9., 2., 9.
1122, 10., 2., 9.
1123, 0., 3., 9.
1124, 1., 3., 9.
1125, 2., 3., 9.
1126, 3., 3., 9.
1127, 4., 3., 9.
1128, 5., 3., 9.
1129, 6., 3., 9.
1130, 7., 3., 9.
1131, 8., 3., 9.
1132, 9., 3., 9.
1133, 10., 3., 9.
1134, 0., 4., 9.
1135, 1., 4., 9.
1136, 2., 4., 9.
1137, 3., 4., 9.
1138, 4., 4., 9.
1139, 5., 4., 9.
1140, 6., 4., 9.
1141, 7., 4., 9.
1142, 8., 4., 9.
1143, 9., 4., 9.
1144, 10., 4., 9.
1145, 0., 5., 9.
1146, 1., 5., 9.
1147, 2., 5., 9.
1148, 3., 5., 9.
1149, 4., 5., 9.
1150, 5., 5., 9.
1151, 6., 5., 9.
1152, 7., 5., 9.
1153, 8., 5., 9.
1154, 9., 5., 9.
1155, 10., 5., 9.
1156, 0., 6., 9.
1157, 1., 6., 9.
1158, 2., 6., 9.
1159, 3., 6., 9.
1160, 4., 6., 9.
1161, 5., 6., 9.
1162, 6., 6., 9.
1163, 7., 6., 9.
1164, 8., 6., 9.
1165, 9., 6., 9.
1166, 10., 6., 9.
1167, 0., 7., 9.
1168, 1., 7., 9.
1169, 2., 7., 9.
1170, 3., 7., 9.
1171, 4., 7., 9.
1172, 5., 7., 9.
1173, 6., 7., 9.
1174, 7., 7., 9.
1175, 8., 7., 9.
1176, 9., 7., 9.
1177, 10., 7., 9.
1178, 0., 8., 9.
1179, 1., 8., 9.
1180, 2., 8., 9.
1181, 3., 8., 9.
1182, 4., 8., 9.
1183, 5., 8., 9.
1184, 6., 8., 9.
1185, 7., 8., 9.
1186, 8., 8., 9.
1187, 9., 8., 9.
1188, 10., 8., 9.
1189, 0., 9., 9.
1190, 1., 9., 9.
1191, 2., 9., 9.
1192, 3., 9., 9.
1193, 4., 9., 9.
1194, 5., 9., 9.
1195, 6., 9., 9.
1196, 7., 9., 9.
1197, 8., 9., 9.
1198, 9., 9., 9.
1199, 10., 9., 9.
1200, 0., 10., 9.
1201, 1., 10., 9.
1202, 2., 10., 9.
1203, 3., 10., 9.
1204, 4., 10., 9.
1205, 5., 10., 9.
1206, 6., 10., 9.
1207, 7., 10., 9.
1208, 8., 10., 9.
1209, 9., 10., 9.
1210, 10., 10., 9.
1211, 0., 0., 10.
1212, 1., 0., 10.
1213, 2., 0., 10.
1214, 3., 0., 10.
1215, 4., 0., 10.
1216, 5., 0., 10.
1217, 6., 0., 10.
1218, 7., 0., 10.
1219, 8., 0., 10.
1220, 9., 0., 10.
1221, 10., 0., 10.
1222, 0., 1., 10.
1223, 1., 1., 10.
1224, 2., 1., 10.
1225, 3., 1., 10.
1226, 4., 1., 10.
1227, 5., 1., 10.
1228, 6., 1., 10.
1229, 7., 1., 10.
1230, 8., 1., 10.
1231, 9., 1., 10.
1232, 10., 1., 10.
1233, 0., 2., 10.
1234, 1., 2., 10.
1235, 2., 2., 10.
1236, 3., 2., 10.
1237, 4., 2., 10.
1238, 5., 2., 10.
1239, 6., 2., 10.
1240, 7., 2., 10.
1241, 8., 2., 10.
1242, 9., 2., 10.
1243, 10., 2., 10.
1244, 0., 3., 10.
1245, 1., 3., 10.
1246, 2., 3., 10.
1247, 3., 3., 10.
1248, 4., 3., 10.
1249, 5., 3., 10.
1250, 6., 3., 10.
1251, 7., 3., 10.
1252, 8., 3., 10.
1253, 9., 3., 10.
1254, 10., 3., 10.
1255, 0., 4., 10.
1256, 1., 4., 10.
1257, 2., 4., 10.
1258, 3., 4., 10.
1259, 4., 4., 10.
1260, 5., 4., 10.
1261, 6., 4., 10.
1262, 7., 4., 10.
1263, 8., 4., 10.
1264, 9., 4., 10.
1265, 10., 4., 10.
1266, 0., 5., 10.
1267, 1., 5., 10.
1268, 2., 5., 10.
1269, 3., 5., 10.
1270, 4., 5., 10.
1271, 5., 5., 10.
1272, 6., 5., 10.
1273, 7., 5., 10.
1274, 8., 5., 10.
1275, 9., 5., 10.
1276, 10., 5., 10.
1277, 0., 6., 10.
1278, 1., 6., 10.
1279, 2., 6., 10.
1280, 3., 6., 10.
1281, 4., 6., 10.
1282, 5., 6., 10.
1283, 6., 6., 10.
1284, 7., 6., 10.
1285, 8., 6., 10.
1286, 9., 6., 10.
1287, 10., 6., 10.
1288, 0., 7., 10.
1289, 1., 7., 10.
1290, 2., 7., 10.
1291, 3., 7., 10.
1292, 4., 7., 10.
1293, 5., 7., 10.
1294, 6., 7., 10.
1295, 7., 7., 10.
1296, 8., 7., 10.
1297, 9., 7., 10.
1298, 10., 7., 10.
1299, 0., 8., 10.
1300, 1., 8., 10.
1301, 2., 8., 10.
1302, 3., 8., 10.
1303, 4., 8., 10.
1304, 5., 8., 10.
1305, 6., 8., 10.
1306, 7., 8., 10.
1307, 8., 8., 10.
1308, 9., 8., 10.
1309, 10., 8., 10.
1310, 0., 9., 10.
1311, 1., 9., 10.
1312, 2., 9., 10.
1313, 3., 9., 10.
1314, 4., 9., 10.
1315, 5., 9., 10.
1316, 6., 9., 10.
1317, 7., 9., 10.
1318, 8., 9., 10.
1319, 9., 9., 10.
1320, 10., 9., 10.
1321, 0., 10., 10.
1322, 1., 10., 10.
1323, 2., 10., 10.
1324, 3., 10., 10.
1325, 4., 10., 10.
1326, 5., 10., 10.
1327, 6., 10., 10.
1328, 7., 10., 10.
1329, 8., 10., 10.
1330, 9., 10., 10.
1331, 10., 10., 10.
*Element, type=C3D8
1, 123, 2, 1, 122, 134, 13, 12, 133
2, 124, 3, 2, 123, 135, 14, 13, 134
3, 125, 4, 3, 124, 136, 15, 14, 135
4, 126, 5, 4, 125, 137, 16, 15, 136
5, 127, 6, 5, 126, 138, 17, 16, 137
6, 128, 7, 6, 127, 139, 18, 17, 138
7, 129, 8, 7, 128, 140, 19, 18, 139
8, 130, 9, 8, 129, 141, 20, 19, 140
9, 131, 10, 9, 130, 142, 21, 20, 141
10, 132, 11, 10, 131, 143, 22, 21, 142
11, 134, 13, 12, 133, 145, 24, 23, 144
12, 135, 14, 13, 134, 146, 25, 24, 145
13, 136, 15, 14, 135, 147, 26, 25, 146
14, 137, 16, 15, 136, 148, 27, 26, 147
15, 138, 17, 16, 137, 149, 28, 27, 148
16, 139, 18, 17, 138, 150, 29, 28, 149
17, 140, 19, 18, 139, 151, 30, 29, 150
18, 141, 20, 19, 140, 152, 31, 30, 151
19, 142, 21, 20, 141, 153, 32, 31, 152
20, 143, 22, 21, 142, 154, 33, 32, 153
21, 145, 24, 23, 144, 156, 35, 34, 155
22, 146, 25, 24, 145, 157, 36, 35, 156
23, 147, 26, 25, 146, 158, 37, 36, 157
24, 148, 27, 26, 147, 159, 38, 37, 158
25, 149, 28, 27, 148, 160, 39, 38, 159
26, 150, 29, 28, 149, 161, 40, 39, 160
27, 151, 30, 29, 150, 162, 41, 40, 161
28, 152, 31, 30, 151, 163, 42, 41, 162
29, 153, 32, 31, 152, 164, 43, 42, 163
30, 154, 33, 32, 153, 165, 44, 43, 164
31, 156, 35, 34, 155, 167, 46, 45, 166
32, 157, 36, 35, 156, 168, 47, 46, 167
33, 158, 37, 36, 157, 169, 48, 47, 168
34, 159, 38, 37, 158, 170, 49, 48, 169
35, 160, 39, 38, 159, 171, 50, 49, 170
36, 161, 40, 39, 160, 172, 51, 50, 171
37, 162, 41, 40, 161, 173, 52, 51, 172
38, 163, 42, 41, 162, 174, 53, 52, 173
39, 164, 43, 42, 163, 175, 54, 53, 174
40, 165, 44, 43, 164, 176, 55, 54, 175
41, 167, 46, 45, 166, 178, 57, 56, 177
42, 168, 47, 46, 167, 179, 58, 57, 178
43, 169, 48, 47, 168, 180, 59, 58, 179
44, 170, 49, 48, 169, 181, 60, 59, 180
45, 171, 50, 49, 170, 182, 61, 60, 181
46, 172, 51, 50, 171, 183, 62, 61, 182
47, 173, 52, 51, 172, 184, 63, 62, 183
48, 174, 53, 52, 173, 185, 64, 63, 184
49, 175, 54, 53, 174, 186, 65, 64, 185
50, 176, 55, 54, 175, 187, 66, 65, 186
51, 178, 57, 56, 177, 189, 68, 67, 188
52, 179, 58, 57, 178, 190, 69, 68, 189
53, 180, 59, 58, 179, 191, 70, 69, 190
54, 181, 60, 59, 180, 192, 71, 70, 191
55, 182, 61, 60, 181, 193, 72, 71, 192
56, 183, 62, 61, 182, 194, 73, 72, 193
57, 184, 63, 62, 183, 195, 74, 73, 194
58, 185, 64, 63, 184, 196, 75, 74, 195
59, 186, 65, 64, 185, 197, 76, 75, 196
60, 187, 66, 65, 186, 198, 77, 76, 197
61, 189, 68, 67, 188, 200, 79, 78, 199
62, 190, 69, 68, 189, 201, 80, 79, 200
63, 191, 70, 69, 190, 202, 81, 80, 201
64, 192, 71, 70, 191, 203, 82, 81, 202
65, 193, 72, 71, 192, 204, 83, 82, 203
66, 194, 73, 72, 193, 205, 84, 83, 204
67, 195, 74, 73, 194, 206, 85, 84, 205
68, 196, 75, 74, 195, 207, 86, 85, 206
69, 197, 76, 75, 196, 208, 87, 86, 207
70, 198, 77, 76, 197, 209, 88, 87, 208
71, 200, 79, 78, 199, 211, 90, 89, 210
72, 201, 80, 79, 200, 212, 91, 90, 211
73, 202, 81, 80, 201, 213, 92, 91, 212
74, 203, 82, 81, 202, 214, 93, 92, 213
75, 204, 83, 82, 203, 215, 94, 93, 214
76, 205, 84, 83, 204, 216, 95, 94, 215
77, 206, 85, 84, 205, 217, 96, 95, 216
78, 207, 86, 85, 206, 218, 97, 96, 217
79, 208, 87, 86, 207, 219, 98, 97, 218
80, 209, 88, 87, 208, 220, 99, 98, 219
81, 211, 90, 89, 210, 222, 101, 100, 221
82, 212, 91, 90, 211, 223, 102, 101, 222
83, 213, 92, 91, 212, 224, 103, 102, 223
84, 214, 93, 92, 213, 225, 104, 103, 224
85, 215, 94, 93, 214, 226, 105, 104, 225
86, 216, 95, 94, 215, 227, 106, 105, 226
87, 217, 96, 95, 216, 228, 107, 106, 227
88, 218, 97, 96, 217, 229, 108, 107, 228
89, 219, 98, 97, 218, 230, 109, 108, 229
90, 220, 99, 98, 219, 231, 110, 109, 230
91, 222, 101, 100, 221, 233, 112, 111, 232
92, 223, 102, 101, 222, 234, 113, 112, 233
93, 224, 103, 102, 223, 235, 114, 113, 234
94, 225, 104, 103, 224, 236, 115, 114, 235
95, 226, 105, 104, 225, 237, 116, 115, 236
96, 227, 106, 105, 226, 238, 117, 116, 237
97, 228, 107, 106, 227, 239, 118, 117, 238
98, 229, 108, 107, 228, 240, 119, 118, 239
99, 230, 109, 108, 229, 241, 120, 119, 240
100, 231, 110, 109, 230, 242, 121, 120, 241
101, 244, 123, 122, 243, 255, 134, 133, 254
102, 245, 124, 123, 244, 256, 135, 134, 255
103, 246, 125, 124, 245, 257, 136, 135, 256
104, 247, 126, 125, 246, 258, 137, 136, 257
105, 248, 127, 126, 247, 259, 138, 137, 258
106, 249, 128, 127, 248, 260, 139, 138, 259
107, 250, 129, 128, 249, 261, 140, 139, 260
108, 251, 130, 129, 250, 262, 141, 140, 261
109, 252, 131, 130, 251, 263, 142, 141, 262
110, 253, 132, 131, 252, 264, 143, 142, 263
111, 255, 134, 133, 254, 266, 145, 144, 265
112, 256, 135, 134, 255, 267, 146, 145, 266
113, 257, 136, 135, 256, 268, 147, 146, 267
114, 258, 137, 136, 257, 269, 148, 147, 268
115, 259, 138, 137, 258, 270, 149, 148, 269
116, 260, 139, 138, 259, 271, 150, 149, 270
117, 261, 140, 139, 260, 272, 151, 150, 271
118, 262, 141, 140, 261, 273, 152, 151, 272
119, 263, 142, 141, 262, 274, 153, 152, 273
120, 264, 143, 142, 263, 275, 154, 153, 274
121, 266, 145, 144, 265, 277, 156, 155, 276
122, 267, 146, 145, 266, 278, 157, 156, 277
123, 268, 147, 146, 267, 279, 158, 157, 278
124, 269, 148, 147, 268, 280, 159, 158, 279
125, 270, 149, 148, 269, 281, 160, 159, 280
126, 271, 150, 149, 270, 282, 161, 160, 281
127, 272, 151, 150, 271, 283, 162, 161, 282
128, 273, 152, 151, 272, 284, 163, 162, 283
129, 274, 153, 152, 273, 285, 164, 163, 284
130, 275, 154, 153, 274, 286, 165, 164, 285
131, 277, 156, 155, 276, 288, 167, 166, 287
132, 278, 157, 156, 277, 289, 168, 167, 288
133, 279, 158, 157, 278, 290, 169, 168, 289
134, 280, 159, 158, 279, 291, 170, 169, 290
135, 281, 160, 159, 280, 292, 171, 170, 291
136, 282, 161, 160, 281, 293, 172, 171, 292
137, 283, 162, 161, 282, 294, 173, 172, 293
138, 284, 163, 162, 283, 295, 174, 173, 294
139, 285, 164, 163, 284, 296, 175, 174, 295
140, 286, 165, 164, 285, 297, 176, 175, 296
141, 288, 167, 166, 287, 299, 178, 177, 298
142, 289, 168, 167, 288, 300, 179, 178, 299
143, 290, 169, 168, 289, 301, 180, 179, 300
144, 291, 170, 169, 290, 302, 181, 180, 301
145, 292, 171, 170, 291, 303, 182, 181, 302
146, 293, 172, 171, 292, 304, 183, 182, 303
147, 294, 173, 172, 293, 305, 184, 183, 304
148, 295, 174, 173, 294, 306, 185, 184, 305
149, 296, 175, 174, 295, 307, 186, 185, 306
150, 297, 176, 175, 296, 308, 187, 186, 307
151, 299, 178, 177, 298, 310, 189, 188, 309
152, 300, 179, 178, 299, 311, 190, 189, 310
153, 301, 180, 179, 300, 312, 191, 190, 311
154, 302, 181, 180, 301, 313, 192, 191, 312
155, 303, 182, 181, 302, 314, 193, 192, 313
156, 304, 183, 182, 303, 315, 194, 193, 314
157, 305, 184, 183, 304, 316, 195, 194, 315
158, 306, 185, 184, 305, 317, 196, 195, 316
159, 307, 186, 185, 306, 318, 197, 196, 317
160, 308, 187, 186, 307, 319, 198, 197, 318
161, 310, 189, 188, 309, 321, 200, 199, 320
162, 311, 190, 189, 310, 322, 201, 200, 321
163, 312, 191, 190, 311, 323, 202, 201, 322
164, 313, 192, 191, 312, 324, 203, 202, 323
165, 314, 193, 192, 313, 325, 204, 203, 324
166, 315, 194, 193, 314, 326, 205, 204, 325
167, 316, 195, 194, 315, 327, 206, 205, 326
168, 317, 196, 195, 316, 328, 207, 206, 327
169, 318, 197, 196, 317, 329, 208, 207, 328
170, 319, 198, 197, 318, 330, 209, 208, 329
171, 321, 200, 199, 320, 332, 211, 210, 331
172, 322, 201, 200, 321, 333, 212, 211, 332
173, 323, 202, 201, 322, 334, 213, 212, 333
174, 324, 203, 202, 323, 335, 214, 213, 334
175, 325, 204, 203, 324, 336, 215, 214, 335
176, 326, 205, 204, 325, 337, 216, 215, 336
177, 327, 206, 205, 326, 338, 217, 216, 337
178, 328, 207, 206, 327, 339, 218, 217, 338
179, 329, 208, 207, 328, 340, 219, 218, 339
180, 330, 209, 208, 329, 341, 220, 219, 340
181, 332, 211, 210, 331, 343, 222, 221, 342
182, 333, 212, 211, 332, 344, 223, 222, 343
183, 334, 213, 212, 333, 345, 224, 223, 344
184, 335, 214, 213, 334, 346, 225, 224, 345
185, 336, 215, 214, 335, 347, 226, 225, 346
186, 337, 216, 215, 336, 348, 227, 226, 347
187, 338, 217, 216, 337, 349, 228, 227, 348
188, 339, 218, 217, 338, 350, 229, 228, 349
189, 340, 219, 218, 339, 351, 230, 229, 350
190, 341, 220, 219, 340, 352, 231, 230, 351
191, 343, 222, 221, 342, 354, 233, 232, 353
192, 344, 223, 222, 343, 355, 234, 233, 354
193, 345, 224, 223, 344, 356, 235, 234, 355
194, 346, 225, 224, 345, 357, 236, 235, 356
195, 347, 226, 225, 346, 358, 237, 236, 357
196, 348, 227, 226, 347, 359, 238, 237, 358
197, 349, 228, 227, 348, 360, 239, 238, 359
198, 350, 229, 228, 349, 361, 240, 239, 360
199, 351, 230, 229, 350, 362, 241, 240, 361
200, 352, 231, 230, 351, 363, 242, 241, 362
201, 365, 244, 243, 364, 376, 255, 254, 375
202, 366, 245, 244, 365, 377, 256, 255, 376
203, 367, 246, 245, 366, 378, 257, 256, 377
204, 368, 247, 246, 367, 379, 258, 257, 378
205, 369, 248, 247, 368, 380, 259, 258, 379
206, 370, 249, 248, 369, 381, 260, 259, 380
207, 371, 250, 249, 370, 382, 261, 260, 381
208, 372, 251, 250, 371, 383, 262, 261, 382
209, 373, 252, 251, 372, 384, 263, 262, 383
210, 374, 253, 252, 373, 385, 264, 263, 384
211, 376, 255, 254, 375, 387, 266, 265, 386
212, 377, 256, 255, 376, 388, 267, 266, 387
213, 378, 257, 256, 377, 389, 268, 267, 388
214, 379, 258, 257, 378, 390, 269, 268, 389
215, 380, 259, 258, 379, 391, 270, 269, 390
216, 381, 260, 259, 380, 392, 271, 270, 391
217, 382, 261, 260, 381, 393, 272, 271, 392
218, 383, 262, 261, 382, 394, 273, 272, 393
219, 384, 263, 262, 383, 395, 274, 273, 394
220, 385, 264, 263, 384, 396, 275, 274, 395
221, 387, 266, 265, 386, 398, 277, 276, 397
222, 388, 267, 266, 387, 399, 278, 277, 398
223, 389, 268, 267, 388, 400, 279, 278, 399
224, 390, 269, 268, 389, 401, 280, 279, 400
225, 391, 270, 269, 390, 402, 281, 280, 401
226, 392, 271, 270, 391, 403, 282, 281, 402
227, 393, 272, 271, 392, 404, 283, 282, 403
228, 394, 273, 272, 393, 405, 284, 283, 404
229, 395, 274, 273, 394, 406, 285, 284, 405
230, 396, 275, 274, 395, 407, 286, 285, 406
231, 398, 277, 276, 397, 409, 288, 287, 408
232, 399, 278, 277, 398, 410, 289, 288, 409
233, 400, 279, 278, 399, 411, 290, 289, 410
234, 401, 280, 279, 400, 412, 291, 290, 411
235, 402, 281, 280, 401, 413, 292, 291, 412
236, 403, 282, 281, 402, 414, 293, 292, 413
237, 404, 283, 282, 403, 415, 294, 293, 414
238, 405, 284, 283, 404, 416, 295, 294, 415
239, 406, 285, 284, 405, 417, 296, 295, 416
240, 407, 286, 285, 406, 418, 297, 296, 417
241, 409, 288, 287, 408, 420, 299, 298, 419
242, 410, 289, 288, 409, 421, 300, 299, 420
243, 411, 290, 289, 410, 422, 301, 300, 421
244, 412, 291, 290, 411, 423, 302, 301, 422
245, 413, 292, 291, 412, 424, 303, 302, 423
246, 414, 293, 292, 413, 425, 304, 303, 424
247, 415, 294, 293, 414, 426, 305, 304, 425
248, 416, 295, 294, 415, 427, 306, 305, 426
249, 417, 296, 295, 416, 428, 307, 306, 427
250, 418, 297, 296, 417, 429, 308, 307, 428
251, 420, 299, 298, 419, 431, 310, 309, 430
252, 421, 300, 299, 420, 432, 311, 310, 431
253, 422, 301, 300, 421, 433, 312, 311, 432
254, 423, 302, 301, 422, 434, 313, 312, 433
255, 424, 303, 302, 423, 435, 314, 313, 434
256, 425, 304, 303, 424, 436, 315, 314, 435
257, 426, 305, 304, 425, 437, 316, 315, 436
258, 427, 306, 305, 426, 438, 317, 316, 437
259, 428, 307, 306, 427, 439, 318, 317, 438
260, 429, 308, 307, 428, 440, 319, 318, 439
261, 431, 310, 309, 430, 442, 321, 320, 441
262, 432, 311, 310, 431, 443, 322, 321, 442
263, 433, 312, 311, 432, 444, 323, 322, 443
264, 434, 313, 312, 433, 445, 324, 323, 444
265, 435, 314, 313, 434, 446, 325, 324, 445
266, 436, 315, 314, 435, 447, 326, 325, 446
267, 437, 316, 315, 436, 448, 327, 326, 447
268, 438, 317, 316, 437, 449, 328, 327, 448
269, 439, 318, 317, 438, 450, 329, 328, 449
270, 440, 319, 318, 439, 451, 330, 329, 450
271, 442, 321, 320, 441, 453, 332, 331, 452
272, 443, 322, 321, 442, 454, 333, 332, 453
273, 444, 323, 322, 443, 455, 334, 333, 454
274, 445, 324, 323, 444, 456, 335, 334, 455
275, 446, 325, 324, 445, 457, 336, 335, 456
276, 447, 326, 325, 446, 458, 337, 336, 457
277, 448, 327, 326, 447, 459, 338, 337, 458
278, 449, 328, 327, 448, 460, 339, 338, 459
279, 450, 329, 328, 449, 461, 340, 339, 460
280, 451, 330, 329, 450, 462, 341, 340, 461
281, 453, 332, 331, 452, 464, 343, 342, 463
282, 454, 333, 332, 453, 465, 344, 343, 464
283, 455, 334, 333, 454, 466, 345, 344, 465
284, 456, 335, 334, 455, 467, 346, 345, 466
285, 457, 336, 335, 456, 468, 347, 346, 467
286, 458, 337, 336, 457, 469, 348, 347, 468
287, 459, 338, 337, 458, 470, 349, 348, 469
288, 460, 339, 338, 459, 471, 350, 349, 470
289, 461, 340, 339, 460, 472, 351, 350, 471
290, 462, 341, 340, 461, 473, 352, 351, 472
291, 464, 343, 342, 463, 475, 354, 353, 474
292, 465, 344, 343, 464, 476, 355, 354, 475
293, 466, 345, 344, 465, 477, 356, 355, 476
294, 467, 346, 345, 466, 478, 357, 356, 477
295, 468, 347, 346, 467, 479, 358, 357, 478
296, 469, 348, 347, 468, 480, 359, 358, 479
297, 470, 349, 348, 469, 481, 360, 359, 480
298, 471, 350, 349, 470, 482, 361, 360, 481
299, 472, 351, 350, 471, 483, 362, 361, 482
300, 473, 352, 351, 472, 484, 363, 362, 483
301, 486, 365, 364, 485, 497, 376, 375, 496
302, 487, 366, 365, 486, 498, 377, 376, 497
303, 488, 367, 366, 487, 499, 378, 377, 498
304, 489, 368, 367, 488, 500, 379, 378, 499
305, 490, 369, 368, 489, 501, 380, 379, 500
306, 491, 370, 369, 490, 502, 381, 380, 501
307, 492, 371, 370, 491, 503, 382, 381, 502
308, 493, 372, 371, 492, 504, 383, 382, 503
309, 494, 373, 372, 493, 505, 384, 383, 504
310, 495, 374, 373, 494, 506, 385, 384, 505
311, 497, 376, 375, 496, 508, 387, 386, 507
312, 498, 377, 376, 497, 509, 388, 387, 508
313, 499, 378, 377, 498, 510, 389, 388, 509
314, 500, 379, 378, 499, 511, 390, 389, 510
315, 501, 380, 379, 500, 512, 391, 390, 511
316, 502, 381, 380, 501, 513, 392, 391, 512
317, 503, 382, 381, 502, 514, 393, 392, 513
318, 504, 383, 382, 503, 515, 394, 393, 514
319, 505, 384, 383, 504, 516, 395, 394, 515
320, 506, 385, 384, 505, 517, 396, 395, 516
321, 508, 387, 386, 507, 519, 398, 397, 518
322, 509, 388, 387, 508, 520, 399, 398, 519
323, 510, 389, 388, 509, 521, 400, 399, 520
324, 511, 390, 389, 510, 522, 401, 400, 521
325, 512, 391, 390, 511, 523, 402, 401, 522
326, 513, 392, 391, 512, 524, 403, 402, 523
327, 514, 393, 392, 513, 525, 404, 403, 524
328, 515, 394, 393, 514, 526, 405, 404, 525
329, 516, 395, 394, 515, 527, 406, 405, 526
330, 517, 396, 395, 516, 528, 407, 406, 527
331, 519, 398, 397, 518, 530, 409, 408, 529
332, 520, 399, 398, 519, 531, 410, 409, 530
333, 521, 400, 399, 520, 532, 411, 410, 531
334, 522, 401, 400, 521, 533, 412, 411, 532
335, 523, 402, 401, 522, 534, 413, 412, 533
336, 524, 403, 402, 523, 535, 414, 413, 534
337, 525, 404, 403, 524, 536, 415, 414, 535
338, 526, 405, 404, 525, 537, 416, 415, 536
339, 527, 406, 405, 526, 538, 417, 416, 537
340, 528, 407, 406, 527, 539, 418, 417, 538
341, 530, 409, 408, 529, 541, 420, 419, 540
342, 531, 410, 409, 530, 542, 421, 420, 541
343, 532, 411, 410, 531, 543, 422, 421, 542
344, 533, 412, 411, 532, 544, 423, 422, 543
345, 534, 413, 412, 533, 545, 424, 423, 544
346, 535, 414, 413, 534, 546, 425, 424, 545
347, 536, 415, 414, 535, 547, 426, 425, 546
348, 537, 416, 415, 536, 548, 427, 426, 547
349, 538, 417, 416, 537, 549, 428, 427, 548
350, 539, 418, 417, 538, 550, 429, 428, 549
351, 541, 420, 419, 540, 552, 431, 430, 551
352, 542, 421, 420, 541, 553, 432, 431, 552
353, 543, 422, 421, 542, 554, 433, 432, 553
354, 544, 423, 422, 543, 555, 434, 433, 554
355, 545, 424, 423, 544, 556, 435, 434, 555
356, 546, 425, 424, 545, 557, 436, 435, 556
357, 547, 426, 425, 546, 558, 437, 436, 557
358, 548, 427, 426, 547, 559, 438, 437, 558
359, 549, 428, 427, 548, 560, 439, 438, 559
360, 550, 429, 428, 549, 561, 440, 439, 560
361, 552, 431, 430, 551, 563, 442, 441, 562
362, 553, 432, 431, 552, 564, 443, 442, 563
363, 554, 433, 432, 553, 565, 444, 443, 564
364, 555, 434, 433, 554, 566, 445, 444, 565
365, 556, 435, 434, 555, 567, 446, 445, 566
366, 557, 436, 435, 556, 568, 447, 446, 567
367, 558, 437, 436, 557, 569, 448, 447, 568
368, 559, 438, 437, 558, 570, 449, 448, 569
369, 560, 439, 438, 559, 571, 450, 449, 570
370, 561, 440, 439, 560, 572, 451, 450, 571
371, 563, 442, 441, 562, 574, 453, 452, 573
372, 564, 443, 442, 563, 575, 454, 453, 574
373, 565, 444, 443, 564, 576, 455, 454, 575
374, 566, 445, 444, 565, 577, 456, 455, 576
375, 567, 446, 445, 566, 578, 457, 456, 577
376, 568, 447, 446, 567, 579, 458, 457, 578
377, 569, 448, 447, 568, 580, 459, 458, 579
378, 570, 449, 448, 569, 581, 460, 459, 580
379, 571, 450, 449, 570, 582, 461, 460, 581
380, 572, 451, 450, 571, 583, 462, 461, 582
381, 574, 453, 452, 573, 585, 464, 463, 584
382, 575, 454, 453, 574, 586, 465, 464, 585
383, 576, 455, 454, 575, 587, 466, 465, 586
384, 577, 456, 455, 576, 588, 467, 466, 587
385, 578, 457, 456, 577, 589, 468, 467, 588
386, 579, 458, 457, 578, 590, 469, 468, 589
387, 580, 459, 458, 579, 591, 470, 469, 590
388, 581, 460, 459, 580, 592, 471, 470, 591
389, 582, 461, 460, 581, 593, 472, 471, 592
390, 583, 462, 461, 582, 594, 473, 472, 593
391, 585, 464, 463, 584, 596, 475, 474, 595
392, 586, 465, 464, 585, 597, 476, 475, 596
393, 587, 466, 465, 586, 598, 477, 476, 597
394, 588, 467, 466, 587, 599, 478, 477, 598
395, 589, 468, 467, 588, 600, 479, 478, 599
396, 590, 469, 468, 589, 601, 480, 479, 600
397, 591, 470, 469, 590, 602, 481, 480, 601
398, 592, 471, 470, 591, 603, 482, 481, 602
399, 593, 472, 471, 592, 604, 483, 482, 603
400, 594, 473, 472, 593, 605, 484, 483, 604
401, 607, 486, 485, 606, 618, 497, 496, 617
402, 608, 487, 486, 607, 619, 498, 497, 618
403, 609, 488, 487, 608, 620, 499, 498, 619
404, 610, 489, 488, 609, 621, 500, 499, 620
405, 611, 490, 489, 610, 622, 501, 500, 621
406, 612, 491, 490, 611, 623, 502, 501, 622
407, 613, 492, 491, 612, 624, 503, 502, 623
408, 614, 493, 492, 613, 625, 504, 503, 624
409, 615, 494, 493, 614, 626, 505, 504, 625
410, 616, 495, 494, 615, 627, 506, 505, 626
411, 618, 497, 496, 617, 629, 508, 507, 628
412, 619, 498, 497, 618, 630, 509, 508, 629
413, 620, 499, 498, 619, 631, 510, 509, 630
414, 621, 500, 499, 620, 632, 511, 510, 631
415, 622, 501, 500, 621, 633, 512, 511, 632
416, 623, 502, 501, 622, 634, 513, 512, 633
417, 624, 503, 502, 623, 635, 514, 513, 634
418, 625, 504, 503, 624, 636, 515, 514, 635
419, 626, 505, 504, 625, 637, 516, 515, 636
420, 627, 506, 505, 626, 638, 517, 516, 637
421, 629, 508, 507, 628, 640, 519, 518, 639
422, 630, 509, 508, 629, 641, 520, 519, 640
423, 631, 510, 509, 630, 642, 521, 520, 641
424, 632, 511, 510, 631, 643, 522, 521, 642
425, 633, 512, 511, 632, 644, 523, 522, 643
426, 634, 513, 512, 633, 645, 524, 523, 644
427, 635, 514, 513, 634, 646, 525, 524, 645
428, 636, 515, 514, 635, 647, 526, 525, 646
429, 637, 516, 515, 636, 648, 527, 526, 647
430, 638, 517, 516, 637, 649, 528, 527, 648
431, 640, 519, 518, 639, 651, 530, 529, 650
432, 641, 520, 519, 640, 652, 531, 530, 651
433, 642, 521, 520, 641, 653, 532, 531, 652
434, 643, 522, 521, 642, 654, 533, 532, 653
435, 644, 523, 522, 643, 655, 534, 533, 654
436, 645, 524, 523, 644, 656, 535, 534, 655
437, 646, 525, 524, 645, 657, 536, 535, 656
438, 647, 526, 525, 646, 658, 537, 536, 657
439, 648, 527, 526, 647, 659, 538, 537, 658
440, 649, 528, 527, 648, 660, 539, 538, 659
441, 651, 530, 529, 650, 662, 541, 540, 661
442, 652, 531, 530, 651, 663, 542, 541, 662
443, 653, 532, 531, 652, 664, 543, 542, 663
444, 654, 533, 532, 653, 665, 544, 543, 664
445, 655, 534, 533, 654, 666, 545, 544, 665
446, 656, 535, 534, 655, 667, 546, 545, 666
447, 657, 536, 535, 656, 668, 547, 546, 667
448, 658, 537, 536, 657, 669, 548, 547, 668
449, 659, 538, 537, 658, 670, 549, 548, 669
450, 660, 539, 538, 659, 671, 550, 549, 670
451, 662, 541, 540, 661, 673, 552, 551, 672
452, 663, 542, 541, 662, 674, 553, 552, 673
453, 664, 543, 542, 663, 675, 554, 553, 674
454, 665, 544, 543, 664, 676, 555, 554, 675
455, 666, 545, 544, 665, 677, 556, 555, 676
456, 667, 546, 545, 666, 678, 557, 556, 677
457, 668, 547, 546, 667, 679, 558, 557, 678
458, 669, 548, 547, 668, 680, 559, 558, 679
459, 670, 549, 548, 669, 681, 560, 559, 680
460, 671, 550, 549, 670, 682, 561, 560, 681
461, 673, 552, 551, 672, 684, 563, 562, 683
462, 674, 553, 552, 673, 685, 564, 563, 684
463, 675, 554, 553, 674, 686, 565, 564, 685
464, 676, 555, 554, 675, 687, 566, 565, 686
465, 677, 556, 555, 676, 688, 567, 566, 687
466, 678, 557, 556, 677, 689, 568, 567, 688
467, 679, 558, 557, 678, 690, 569, 568, 689
468, 680, 559, 558, 679, 691, 570, 569, 690
469, 681, 560, 559, 680, 692, 571, 570, 691
470, 682, 561, 560, 681, 693, 572, 571, 692
471, 684, 563, 562, 683, 695, 574, 573, 694
472, 685, 564, 563, 684, 696, 575, 574, 695
473, 686, 565, 564, 685, 697, 576, 575, 696
474, 687, 566, 565, 686, 698, 577, 576, 697
475, 688, 567, 566, 687, 699, 578, 577, 698
476, 689, 568, 567, 688, 700, 579, 578, 699
477, 690, 569, 568, 689, 701, 580, 579, 700
478, 691, 570, 569, 690, 702, 581, 580, 701
479, 692, 571, 570, 691, 703, 582, 581, 702
480, 693, 572, 571, 692, 704, 583, 582, 703
481, 695, 574, 573, 694, 706, 585, 584, 705
482, 696, 575, 574, 695, 707, 586, 585, 706
483, 697, 576, 575, 696, 708, 587, 586, 707
484, 698, 577, 576, 697, 709, 588, 587, 708
485, 699, 578, 577, 698, 710, 589, 588, 709
486, 700, 579, 578, 699, 711, 590, 589, 710
487, 701, 580, 579, 700, 712, 591, 590, 711
488, 702, 581, 580, 701, 713, 592, 591, 712
489, 703, 582, 581, 702, 714, 593, 592, 713
490, 704, 583, 582, 703, 715, 594, 593, 714
491, 706, 585, 584, 705, 717, 596, 595, 716
492, 707, 586, 585, 706, 718, 597, 596, 717
493, 708, 587, 586, 707, 719, 598, 597, 718
494, 709, 588, 587, 708, 720, 599, 598, 719
495, 710, 589, 588, 709, 721, 600, 599, 720
496, 711, 590, 589, 710, 722, 601, 600, 721
497, 712, 591, 590, 711, 723, 602, 601, 722
498, 713, 592, 591, 712, 724, 603, 602, 723
499, 714, 593, 592, 713, 725, 604, 603, 724
500, 715, 594, 593, 714, 726, 605, 604, 725
501, 728, 607, 606, 727, 739, 618, 617, 738
502, 729, 608, 607, 728, 740, 619, 618, 739
503, 730, 609, 608, 729, 741, 620, 619, 740
504, 731, 610, 609, 730, 742, 621, 620, 741
505, 732, 611, 610, 731, 743, 622, 621, 742
506, 733, 612, 611, 732, 744, 623, 622, 743
507, 734, 613, 612, 733, 745, 624, 623, 744
508, 735, 614, 613, 734, 746, 625, 624, 745
509, 736, 615, 614, 735, 747, 626, 625, 746
510, 737, 616, 615, 736, 748, 627, 626, 747
511, 739, 618, 617, 738, 750, 629, 628, 749
512, 740, 619, 618, 739, 751, 630, 629, 750
513, 741, 620, 619, 740, 752, 631, 630, 751
514, 742, 621, 620, 741, 753, 632, 631, 752
515, 743, 622, 621, 742, 754, 633, 632, 753
516, 744, 623, 622, 743, 755, 634, 633, 754
517, 745, 624, 623, 744, 756, 635, 634, 755
518, 746, 625, 624, 745, 757, 636, 635, 756
519, 747, 626, 625, 746, 758, 637, 636, 757
520, 748, 627, 626, 747, 759, 638, 637, 758
521, 750, 629, 628, 749, 761, 640, 639, 760
522, 751, 630, 629, 750, 762, 641, 640, 761
523, 752, 631, 630, 751, 763, 642, 641, 762
524, 753, 632, 631, 752, 764, 643, 642, 763
525, 754, 633, 632, 753, 765, 644, 643, 764
526, 755, 634, 633, 754, 766, 645, 644, 765
527, 756, 635, 634, 755, 767, 646, 645, 766
528, 757, 636, 635, 756, 768, 647, 646, 767
529, 758, 637, 636, 757, 769, 648, 647, 768
530, 759, 638, 637, 758, 770, 649, 648, 769
531, 761, 640, 639, 760, 772, 651, 650, 771
532, 762, 641, 640, 761, 773, 652, 651, 772
533, 763, 642, 641, 762, 774, 653, 652, 773
534, 764, 643, 642, 763, 775, 654, 653, 774
535, 765, 644, 643, 764, 776, 655, 654, 775
536, 766, 645, 644, 765, 777, 656, 655, 776
537, 767, 646, 645, 766, 778, 657, 656, 777
538, 768, 647, 646, 767, 779, 658, 657, 778
539, 769, 648, 647, 768, 780, 659, 658, 779
540, 770, 649, 648, 769, 781, 660, 659, 780
541, 772, 651, 650, 771, 783, 662, 661, 782
542, 773, 652, 651, 772, 784, 663, 662, 783
543, 774, 653, 652, 773, 785, 664, 663, 784
544, 775, 654, 653, 774, 786, 665, 664, 785
545, 776, 655, 654, 775, 787, 666, 665, 786
546, 777, 656, 655, 776, 788, 667, 666, 787
547, 778, 657, 656, 777, 789, 668, 667, 788
548, 779, 658, 657, 778, 790, 669, 668, 789
549, 780, 659, 658, 779, 791, 670, 669, 790
550, 781, 660, 659, 780, 792, 671, 670, 791
551, 783, 662, 661, 782, 794, 673, 672, 793
552, 784, 663, 662, 783, 795, 674, 673, 794
553, 785, 664, 663, 784, 796, 675, 674, 795
554, 786, 665, 664, 785, 797, 676, 675, 796
555, 787, 666, 665, 786, 798, 677, 676, 797
556, 788, 667, 666, 787, 799, 678, 677, 798
557, 789, 668, 667, 788, 800, 679, 678, 799
558, 790, 669, 668, 789, 801, 680, 679, 800
559, 791, 670, 669, 790, 802, 681, 680, 801
560, 792, 671, 670, 791, 803, 682, 681, 802
561, 794, 673, 672, 793, 805, 684, 683, 804
562, 795, 674, 673, 794, 806, 685, 684, 805
563, 796, 675, 674, 795, 807, 686, 685, 806
564, 797, 676, 675, 796, 808, 687, 686, 807
565, 798, 677, 676, 797, 809, 688, 687, 808
566, 799, 678, 677, 798, 810, 689, 688, 809
567, 800, 679, 678, 799, 811, 690, 689, 810
568, 801, 680, 679, 800, 812, 691, 690, 811
569, 802, 681, 680, 801, 813, 692, 691, 812
570, 803, 682, 681, 802, 814, 693, 692, 813
571, 805, 684, 683, 804, 816, 695, 694, 815
572, 806, 685, 684, 805, 817, 696, 695, 816
573, 807, 686, 685, 806, 818, 697, 696, 817
574, 808, 687, 686, 807, 819, 698, 697, 818
575, 809, 688, 687, 808, 820, 699, 698, 819
576, 810, 689, 688, 809, 821, 700, 699, 820
577, 811, 690, 689, 810, 822, 701, 700, 821
578, 812, 691, 690, 811, 823, 702, 701, 822
579, 813, 692, 691, 812, 824, 703, 702, 823
580, 814, 693, 692, 813, 825, 704, 703, 824
581, 816, 695, 694, 815, 827, 706, 705, 826
582, 817, 696, 695, 816, 828, 707, 706, 827
583, 818, 697, 696, 817, 829, 708, 707, 828
584, 819, 698, 697, 818, 830, 709, 708, 829
585, 820, 699, 698, 819, 831, 710, 709, 830
586, 821, 700, 699, 820, 832, 711, 710, 831
587, 822, 701, 700, 821, 833, 712, 711, 832
588, 823, 702, 701, 822, 834, 713, 712, 833
589, 824, 703, 702, 823, 835, 714, 713, 834
590, 825, 704, 703, 824, 836, 715, 714, 835
591, 827, 706, 705, 826, 838, 717, 716, 837
592, 828, 707, 706, 827, 839, 718, 717, 838
593, 829, 708, 707, 828, 840, 719, 718, 839
594, 830, 709, 708, 829, 841, 720, 719, 840
595, 831, 710, 709, 830, 842, 721, 720, 841
596, 832, 711, 710, 831, 843, 722, 721, 842
597, 833, 712, 711, 832, 844, 723, 722, 843
598, 834, 713, 712, 833, 845, 724, 723, 844
599, 835, 714, 713, 834, 846, 725, 724, 845
600, 836, 715, 714, 835, 847, 726, 725, 846
601, 849, 728, 727, 848, 860, 739, 738, 859
602, 850, 729, 728, 849, 861, 740, 739, 860
603, 851, 730, 729, 850, 862, 741, 740, 861
604, 852, 731, 730, 851, 863, 742, 741, 862
605, 853, 732, 731, 852, 864, 743, 742, 863
606, 854, 733, 732, 853, 865, 744, 743, 864
607, 855, 734, 733, 854, 866, 745, 744, 865
608, 856, 735, 734, 855, 867, 746, 745, 866
609, 857, 736, 735, 856, 868, 747, 746, 867
610, 858, 737, 736, 857, 869, 748, 747, 868
611, 860, 739, 738, 859, 871, 750, 749, 870
612, 861, 740, 739, 860, 872, 751, 750, 871
613, 862, 741, 740, 861, 873, 752, 751, 872
614, 863, 742, 741, 862, 874, 753, 752, 873
615, 864, 743, 742, 863, 875, 754, 753, 874
616, 865, 744, 743, 864, 876, 755, 754, 875
617, 866, 745, 744, 865, 877, 756, 755, 876
618, 867, 746, 745, 866, 878, 757, 756, 877
619, 868, 747, 746, 867, 879, 758, 757, 878
620, 869, 748, 747, 868, 880, 759, 758, 879
621, 871, 750, 749, 870, 882, 761, 760, 881
622, 872, 751, 750, 871, 883, 762, 761, 882
623, 873, 752, 751, 872, 884, 763, 762, 883
624, 874, 753, 752, 873, 885, 764, 763, 884
625, 875, 754, 753, 874, 886, 765, 764, 885
626, 876, 755, 754, 875, 887, 766, 765, 886
627, 877, 756, 755, 876, 888, 767, 766, 887
628, 878, 757, 756, 877, 889, 768, 767, 888
629, 879, 758, 757, 878, 890, 769, 768, 889
630, 880, 759, 758, 879, 891, 770, 769, 890
631, 882, 761, 760, 881, 893, 772, 771, 892
632, 883, 762, 761, 882, 894, 773, 772, 893
633, 884, 763, 762, 883, 895, 774, 773, 894
634, 885, 764, 763, 884, 896, 775, 774, 895
635, 886, 765, 764, 885, 897, 776, 775, 896
636, 887, 766, 765, 886, 898, 777, 776, 897
637, 888, 767, 766, 887, 899, 778, 777, 898
638, 889, 768, 767, 888, 900, 779, 778, 899
639, 890, 769, 768, 889, 901, 780, 779, 900
640, 891, 770, 769, 890, 902, 781, 780, 901
641, 893, 772, 771, 892, 904, 783, 782, 903
642, 894, 773, 772, 893, 905, 784, 783, 904
643, 895, 774, 773, 894, 906, 785, 784, 905
644, 896, 775, 774, 895, 907, 786, 785, 906
645, 897, 776, 775, 896, 908, 787, 786, 907
646, 898, 777, 776, 897, 909, 788, 787, 908
647, 899, 778, 777, 898, 910, 789, 788, 909
648, 900, 779, 778, 899, 911, 790, 789, 910
649, 901, 780, 779, 900, 912, 791, 790, 911
650, 902, 781, 780, 901, 913, 792, 791, 912
651, 904, 783, 782, 903, 915, 794, 793, 914
652, 905, 784, 783, 904, 916, 795, 794, 915
653, 906, 785, 784, 905, 917, 796, 795, 916
654, 907, 786, 785, 906, 918, 797, 796, 917
655, 908, 787, 786, 907, 919, 798, 797, 918
656, 909, 788, 787, 908, 920, 799, 798, 919
657, 910, 789, 788, 909, 921, 800, 799, 920
658, 911, 790, 789, 910, 922, 801, 800, 921
659, 912, 791, 790, 911, 923, 802, 801, 922
660, 913, 792, 791, 912, 924, 803, 802, 923
661, 915, 794, 793, 914, 926, 805, 804, 925
662, 916, 795, 794, 915, 927, 806, 805, 926
663, 917, 796, 795, 916, 928, 807, 806, 927
664, 918, 797, 796, 917, 929, 808, 807, 928
665, 919, 798, 797, 918, 930, 809, 808, 929
666, 920, 799, 798, 919, 931, 810, 809, 930
667, 921, 800, 799, 920, 932, 811, 810, 931
668, 922, 801, 800, 921, 933, 812, 811, 932
669, 923, 802, 801, 922, 934, 813, 812, 933
670, 924, 803, 802, 923, 935, 814, 813, 934
671, 926, 805, 804, 925, 937, 816, 815, 936
672, 927, 806, 805, 926, 938, 817, 816, 937
673, 928, 807, 806, 927, 939, 818, 817, 938
674, 929, 808, 807, 928, 940, 819, 818, 939
675, 930, 809, 808, 929, 941, 820, 819, 940
676, 931, 810, 809, 930, 942, 821, 820, 941
677, 932, 811, 810, 931, 943, 822, 821, 942
678, 933, 812, 811, 932, 944, 823, 822, 943
679, 934, 813, 812, 933, 945, 824, 823, 944
680, 935, 814, 813, 934, 946, 825, 824, 945
681, 937, 816, 815, 936, 948, 827, 826, 947
682, 938, 817, 816, 937, 949, 828, 827, 948
683, 939, 818, 817, 938, 950, 829, 828, 949
684, 940, 819, 818, 939, 951, 830, 829, 950
685, 941, 820, 819, 940, 952, 831, 830, 951
686, 942, 821, 820, 941, 953, 832, 831, 952
687, 943, 822, 821, 942, 954, 833, 832, 953
688, 944, 823, 822, 943, 955, 834, 833, 954
689, 945, 824, 823, 944, 956, 835, 834, 955
690, 946, 825, 824, 945, 957, 836, 835, 956
691, 948, 827, 826, 947, 959, 838, 837, 958
692, 949, 828, 827, 948, 960, 839, 838, 959
693, 950, 829, 828, 949, 961, 840, 839, 960
694, 951, 830, 829, 950, 962, 841, 840, 961
695, 952, 831, 830, 951, 963, 842, 841, 962
696, 953, 832, 831, 952, 964, 843, 842, 963
697, 954, 833, 832, 953, 965, 844, 843, 964
698, 955, 834, 833, 954, 966, 845, 844, 965
699, 956, 835, 834, 955, 967, 846, 845, 966
700, 957, 836, 835, 956, 968, 847, 846, 967
701, 970, 849, 848, 969, 981, 860, 859, 980
702, 971, 850, 849, 970, 982, 861, 860, 981
703, 972, 851, 850, 971, 983, 862, 861, 982
704, 973, 852, 851, 972, 984, 863, 862, 983
705, 974, 853, 852, 973, 985, 864, 863, 984
706, 975, 854, 853, 974, 986, 865, 864, 985
707, 976, 855, 854, 975, 987, 866, 865, 986
708, 977, 856, 855, 976, 988, 867, 866, 987
709, 978, 857, 856, 977, 989, 868, 867, 988
710, 979, 858, 857, 978, 990, 869, 868, 989
711, 981, 860, 859, 980, 992, 871, 870, 991
712, 982, 861, 860, 981, 993, 872, 871, 992
713, 983, 862, 861, 982, 994, 873, 872, 993
714, 984, 863, 862, 983, 995, 874, 873, 994
715, 985, 864, 863, 984, 996, 875, 874, 995
716, 986, 865, 864, 985, 997, 876, 875, 996
717, 987, 866, 865, 986, 998, 877, 876, 997
718, 988, 867, 866, 987, 999, 878, 877, 998
719, 989, 868, 867, 988, 1000, 879, 878, 999
720, 990, 869, 868, 989, 1001, 880, 879, 1000
721, 992, 871, 870, 991, 1003, 882, 881, 1002
722, 993, 872, 871, 992, 1004, 883, 882, 1003
723, 994, 873, 872, 993, 1005, 884, 883, 1004
724, 995, 874, 873, 994, 1006, 885, 884, 1005
725, 996, 875, 874, 995, 1007, 886, 885, 1006
726, 997, 876, 875, 996, 1008, 887, 886, 1007
727, 998, 877, 876, 997, 1009, 888, 887, 1008
728, 999, 878, 877, 998, 1010, 889, 888, 1009
729, 1000, 879, 878, 999, 1011, 890, 889, 1010
730, 1001, 880, 879, 1000, 1012, 891, 890, 1011
731, 1003, 882, 881, 1002, 1014, 893, 892, 1013
732, 1004, 883, 882, 1003, 1015, 894, 893, 1014
733, 1005, 884, 883, 1004, 1016, 895, 894, 1015
734, 1006, 885, 884, 1005, 1017, 896, 895, 1016
735, 1007, 886, 885, 1006, 1018, 897, 896, 1017
736, 1008, 887, 886, 1007, 1019, 898, 897, 1018
737, 1009, 888, 887, 1008, 1020, 899, 898, 1019
738, 1010, 889, 888, 1009, 1021, 900, 899, 1020
739, 1011, 890, 889, 1010, 1022, 901, 900, 1021
740, 1012, 891, 890, 1011, 1023, 902, 901, 1022
741, 1014, 893, 892, 1013, 1025, 904, 903, 1024
742, 1015, 894, 893, 1014, 1026, 905, 904, 1025
743, 1016, 895, 894, 1015, 1027, 906, 905, 1026
744, 1017, 896, 895, 1016, 1028, 907, 906, 1027
745, 1018, 897, 896, 1017, 1029, 908, 907, 1028
746, 1019, 898, 897, 1018, 1030, 909, 908, 1029
747, 1020, 899, 898, 1019, 1031, 910, 909, 1030
748, 1021, 900, 899, 1020, 1032, 911, 910, 1031
749, 1022, 901, 900, 1021, 1033, 912, 911, 1032
750, 1023, 902, 901, 1022, 1034, 913, 912, 1033
751, 1025, 904, 903, 1024, 1036, 915, 914, 1035
752, 1026, 905, 904, 1025, 1037, 916, 915, 1036
753, 1027, 906, 905, 1026, 1038, 917, 916, 1037
754, 1028, 907, 906, 1027, 1039, 918, 917, 1038
755, 1029, 908, 907, 1028, 1040, 919, 918, 1039
756, 1030, 909, 908, 1029, 1041, 920, 919, 1040
757, 1031, 910, 909, 1030, 1042, 921, 920, 1041
758, 1032, 911, 910, 1031, 1043, 922, 921, 1042
759, 1033, 912, 911, 1032, 1044, 923, 922, 1043
760, 1034, 913, 912, 1033, 1045, 924, 923, 1044
761, 1036, 915, 914, 1035, 1047, 926, 925, 1046
762, 1037, 916, 915, 1036, 1048, 927, 926, 1047
763, 1038, 917, 916, 1037, 1049, 928, 927, 1048
764, 1039, 918, 917, 1038, 1050, 929, 928, 1049
765, 1040, 919, 918, 1039, 1051, 930, 929, 1050
766, 1041, 920, 919, 1040, 1052, 931, 930, 1051
767, 1042, 921, 920, 1041, 1053, 932, 931, 1052
768, 1043, 922, 921, 1042, 1054, 933, 932, 1053
769, 1044, 923, 922, 1043, 1055, 934, 933, 1054
770, 1045, 924, 923, 1044, 1056, 935, 934, 1055
771, 1047, 926, 925, 1046, 1058, 937, 936, 1057
772, 1048, 927, 926, 1047, 1059, 938, 937, 1058
773, 1049, 928, 927, 1048, 1060, 939, 938, 1059
774, 1050, 929, 928, 1049, 1061, 940, 939, 1060
775, 1051, 930, 929, 1050, 1062, 941, 940, 1061
776, 1052, 931, 930, 1051, 1063, 942, 941, 1062
777, 1053, 932, 931, 1052, 1064, 943, 942, 1063
778, 1054, 933, 932, 1053, 1065, 944, 943, 1064
779, 1055, 934, 933, 1054, 1066, 945, 944, 1065
780, 1056, 935, 934, 1055, 1067, 946, 945, 1066
781, 1058, 937, 936, 1057, 1069, 948, 947, 1068
782, 1059, 938, 937, 1058, 1070, 949, 948, 1069
783, 1060, 939, 938, 1059, 1071, 950, 949, 1070
784, 1061, 940, 939, 1060, 1072, 951, 950, 1071
785, 1062, 941, 940, 1061, 1073, 952, 951, 1072
786, 1063, 942, 941, 1062, 1074, 953, 952, 1073
787, 1064, 943, 942, 1063, 1075, 954, 953, 1074
788, 1065, 944, 943, 1064, 1076, 955, 954, 1075
789, 1066, 945, 944, 1065, 1077, 956, 955, 1076
790, 1067, 946, 945, 1066, 1078, 957, 956, 1077
791, 1069, 948, 947, 1068, 1080, 959, 958, 1079
792, 1070, 949, 948, 1069, 1081, 960, 959, 1080
793, 1071, 950, 949, 1070, 1082, 961, 960, 1081
794, 1072, 951, 950, 1071, 1083, 962, 961, 1082
795, 1073, 952, 951, 1072, 1084, 963, 962, 1083
796, 1074, 953, 952, 1073, 1085, 964, 963, 1084
797, 1075, 954, 953, 1074, 1086, 965, 964, 1085
798, 1076, 955, 954, 1075, 1087, 966, 965, 1086
799, 1077, 956, 955, 1076, 1088, 967, 966, 1087
800, 1078, 957, 956, 1077, 1089, 968, 967, 1088
801, 1091, 970, 969, 1090, 1102, 981, 980, 1101
802, 1092, 971, 970, 1091, 1103, 982, 981, 1102
803, 1093, 972, 971, 1092, 1104, 983, 982, 1103
804, 1094, 973, 972, 1093, 1105, 984, 983, 1104
805, 1095, 974, 973, 1094, 1106, 985, 984, 1105
806, 1096, 975, 974, 1095, 1107, 986, 985, 1106
807, 1097, 976, 975, 1096, 1108, 987, 986, 1107
808, 1098, 977, 976, 1097, 1109, 988, 987, 1108
809, 1099, 978, 977, 1098, 1110, 989, 988, 1109
810, 1100, 979, 978, 1099, 1111, 990, 989, 1110
811, 1102, 981, 980, 1101, 1113, 992, 991, 1112
812, 1103, 982, 981, 1102, 1114, 993, 992, 1113
813, 1104, 983, 982, 1103, 1115, 994, 993, 1114
814, 1105, 984, 983, 1104, 1116, 995, 994, 1115
815, 1106, 985, 984, 1105, 1117, 996, 995, 1116
816, 1107, 986, 985, 1106, 1118, 997, 996, 1117
817, 1108, 987, 986, 1107, 1119, 998, 997, 1118
818, 1109, 988, 987, 1108, 1120, 999, 998, 1119
819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120
820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121
821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123
822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124
823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125
824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126
825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127
826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128
827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129
828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130
829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131
830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132
831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134
832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135
833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136
834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137
835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138
836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139
837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140
838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141
839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142
840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143
841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145
842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146
843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147
844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148
845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149
846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150
847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151
848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152
849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153
850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154
851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156
852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157
853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158
854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159
855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160
856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161
857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162
858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163
859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164
860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165
861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167
862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168
863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169
864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170
865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171
866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172
867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173
868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174
869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175
870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176
871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178
872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179
873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180
874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181
875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182
876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183
877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184
878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185
879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186
880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187
881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189
882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190
883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191
884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192
885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193
886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194
887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195
888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196
889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197
890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198
891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200
892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201
893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202
894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203
895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204
896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205
897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206
898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207
899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208
900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209
901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222
902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223
903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224
904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225
905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226
906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227
907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228
908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229
909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230
910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231
911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233
912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234
913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235
914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236
915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237
916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238
917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239
918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240
919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241
920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242
921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244
922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245
923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246
924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247
925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248
926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249
927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250
928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251
929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252
930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253
931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255
932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256
933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257
934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258
935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259
936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260
937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261
938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262
939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263
940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264
941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266
942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267
943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268
944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269
945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270
946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271
947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272
948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273
949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274
950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275
951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277
952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278
953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279
954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280
955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281
956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282
957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283
958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284
959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285
960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286
961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288
962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289
963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290
964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291
965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292
966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293
967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294
968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295
969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296
970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297
971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299
972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300
973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301
974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302
975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303
976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304
977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305
978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306
979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307
980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308
981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310
982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311
983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312
984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313
985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314
986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315
987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316
988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317
989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318
990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319
991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321
992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322
993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323
994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324
995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325
996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326
997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327
998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328
999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329
1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330
*Elset, elset=GRAIN-1
505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618
624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712
713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729
730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809
810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825
826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847
848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914
915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930
931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949
950,
*Elset, elset=GRAIN-2
35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64
65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85
86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145
146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169
170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194
195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259
264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285
286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356
357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386
387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477
*Elset, elset=GRAIN-3
193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453
454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492
493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554
555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576
577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632
633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657
661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682
683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741
742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763
764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785
786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851
852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873
874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895
896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964
965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986
987, 991, 992, 993, 994, 995, 996, 997
*Elset, elset=GRAIN-4
1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31
32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121
122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211
212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303
304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401
402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433
434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533
601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721
*Elset, elset=GRAIN-5
6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38
39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 120, 126, 127
128, 129, 130, 136, 137, 138, 139, 140, 149, 150, 206, 207, 208, 209, 210, 216
217, 218, 219, 220, 226, 227, 228, 229, 230, 235, 236, 237, 238, 239, 240, 248
249, 250, 260, 306, 307, 308, 309, 310, 316, 317, 318, 319, 320, 325, 326, 327
328, 329, 330, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 360, 406, 407
408, 409, 410, 416, 417, 418, 419, 420, 425, 426, 427, 428, 429, 430, 435, 436
437, 438, 439, 440, 447, 448, 449, 450, 507, 508, 509, 510, 517, 518, 519, 520
525, 526, 527, 528, 529, 530, 536, 537, 538, 539, 540, 547, 548, 549, 550, 610
619, 620, 628, 629, 630, 637, 638, 639, 640, 648, 740
*Elset, elset=GRAIN-6
300, 370, 380, 389, 390, 398, 399, 400, 460, 469, 470, 478, 479, 480, 487, 488
489, 490, 497, 498, 499, 500, 558, 559, 560, 568, 569, 570, 578, 579, 580, 588
589, 590, 597, 598, 599, 600, 649, 650, 658, 659, 660, 668, 669, 670, 678, 679
680, 688, 689, 690, 698, 699, 700, 748, 749, 750, 758, 759, 760, 768, 769, 770
778, 779, 780, 788, 789, 790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870
878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978
979, 980, 988, 989, 990, 998, 999, 1000
*Elset, elset=GRAIN-7
41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151
152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243
251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342
343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452
461, 462, 471, 472
*Elset, elset=PHASE-1, generate
1, 1000, 1
** Section: Section-4-GRAIN-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
** Section: Section-5-GRAIN-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
** Section: Section-2-GRAIN-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
** Section: Section-7-GRAIN-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
** Section: Section-3-GRAIN-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
** Section: Section-6-GRAIN-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
** Section: Section-1-GRAIN-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
*End Part
**
**
** ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=DREAM3D-1, part=DREAM3D
*End Instance
**
*Nset, nset=_PickedSet4, internal, instance=DREAM3D-1, generate
1, 1321, 11
*Nset, nset=_PickedSet5, internal, instance=DREAM3D-1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 122, 123, 124, 125, 126
127, 128, 129, 130, 131, 132, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252
253, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 485, 486, 487, 488
489, 490, 491, 492, 493, 494, 495, 606, 607, 608, 609, 610, 611, 612, 613, 614
615, 616, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 848, 849, 850
851, 852, 853, 854, 855, 856, 857, 858, 969, 970, 971, 972, 973, 974, 975, 976
977, 978, 979, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1211, 1212
1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221
*Nset, nset=_PickedSet6, internal, instance=DREAM3D-1, generate
1, 121, 1
*Nset, nset=_PickedSet7, internal, instance=DREAM3D-1, generate
11, 1331, 11
*End Assembly
**
** MATERIALS
**
** MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=300
131.57, 106.934, 219.914, 1., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=300
207.046, 89.158, 335.024, 2., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=300
178.061, 37.773, 321.494, 3., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=300
234.272, 107.927, 232.783, 4., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=300
131.024, 82.927, 261.214, 5., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=300
123.609, 63.988, 170.189, 6., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=300
78.282, 94.024, 208.666, 7., 2., 1., 2., 12.
6., 0., 0.25, 170000., 124000., 75000., 0., 0.
0., 0., 0., 0., 1., 0., 0., 0.
3., 0.001, 20., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 1., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
16., 16., 16., 16., 16., 16., 16., 16.
16., 16., 16., 16., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0., 0., 0., 0., 0.
0., 0., 0., 0.
**
** BOUNDARY CONDITIONS
**
** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet4, XSYMM
** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet5, YSYMM
** Name: BC-3 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet6, ZSYMM
** ----------------------------------------------------------------
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.05, 10., 1e-05, 5.
**
** BOUNDARY CONDITIONS
**
** Name: BC-4 Type: Displacement/Rotation
*Boundary
_PickedSet7, 1, 1, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-2
**
*Output, field
*Element Output, directions=YES
SDV,
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
*End Step
================================================
FILE: Example - Polycrytal with PROPS/OXFORD-UMAT.f
================================================
!
! Nov., 01st, 2022 - 1st working version
! Apr., 25th, 2024 - Release v2.17
!
! Crystal Plasticity UMAT
! University of Oxford
! Eralp Demir
!
! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA
!
! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli
! Originally based on the UEL by Fionn Dunne 2007
! Deformation twinning is not included
!
! Major changes:
! - Initialization routines for computational efficiency
! - Reverse slip formulation by C. Hardie
! - Option for implicit state update
! - Multiple materials with different phases can co-exist in a mesh
! - Modular code for flexible constitutive model development
! - GND calculations:
! o Restricted solution to the active slip systems
! o Option for element center homogenization
! o Different 2D/3D element types for GND calculation
! - 2D plane stress/strain problems
!
include "userinputs.f"
include "globalvariables.f"
include "irradiation.f"
include "errors.f"
include "utilities.f"
include "meshprop.f"
include "usermaterials.f"
include "useroutputs.f"
include "crss.f"
include "initializations.f"
include "slip.f"
include "slipreverse.f"
include "creep.f"
include "innerloop.f"
include "hardening.f"
include "backstress.f"
include "cpsolver.f"
include "straingradients.f"
!
!
!
SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC)
! Subroutine for initialization
use initializations, only : initialize_variables,
+ initialize_once
use userinputs, only : gndmodel, backstressmodel
use globalvariables, only: numel, numpt,
+ init_once, statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum,
+ statev_gammadot_t, statev_gammadot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_forest_t, statev_forest,
+ statev_substructure_t, statev_substructure, statev_evmp_t,
+ statev_evmp, statev_totgammasum_t, statev_totgammasum,
+ statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop,
+ statev_Lambda_t, statev_Lambda, statev_sigma_t2,
+ statev_tausolute_t, statev_tausolute, time_old, dt_t,
+ statev_backstress, statev_backstress_t,
+ statev_plasdiss, statev_plasdiss_t,
+ ip_count, calculategradient, ip_init, grad_init
!
use straingradients, only: gndmodel1, gndmodel2,
+ gndmodel3, gndmodel4
use backstress, only: backstressmodel2
use meshprop, only: initialize_gradientoperators
use useroutputs, only: write_statev_legend
!
implicit none
!
!
!
INTEGER, INTENT(IN) ::
+ LOP,
+ LRESTART,
+ KSTEP,
+ KINC
REAL(8), DIMENSION(1), INTENT(IN) ::
+ DTIME
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME
!
!
integer :: i
!
!
!
! at the start of the analysis (only ONCE!)
! if there are initializations/calculations that are needed once,
! and that are independepent of element properties, you may use here.
if (LOP==0) then
!
! 0. Initialize variables (instead of using data statements)
call initialize_variables
!
!
end if
!
! Initialization of gradient operators
! Check if the element has more than one integration point
! And the gradient initialization was done before or not
if ((calculategradient==1).and.(grad_init==0)) then
!
! Check if IP coordinates were collected
if ((sum(ip_init)==numel*numpt).and.
+ (numel>0).and.(numpt>0)) then
!
!
! Calculate the gradient mapping for each element once.
call initialize_gradientoperators
!
grad_init=1
write(*,*) '7. Gradient operators initialized!'
!
endif
!
end if
!
!
!
!
!
if (LOP==1) then
!
!
! in case of force BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
end if
!
!
!
!
!
end if
!
!
end if
!
!
!
! at the end of each increment
if (LOP==2) then
!
!
! in case of displacement BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
!
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
!
end if
!
!
!
!
!
!
end if
!
!
!
write(*,*) '--------------------------------'
!
write(*,*) 'At the end of increment: ', KINC
!
!
!
!
!
! GND calculations
! do this only if the initiliazation complete and
! element gradients are calculatable (calculategradient==1)
if ((init_once==1).and.(grad_init==1).and.
+ (calculategradient==1).and.(KINC>1)) then
!
! update and calculate GNDs (nonlocal calculations)
! this is done at the end of calculations.
! GNDs that belong to the PREVIOUS time step are used.
! initially GNDs are assumed to have "0" values.
!
! calculate GNDs (if initialization complete)
if (gndmodel>0) then
!
! curl followed by L2 minimization - SVD -
! constrained to active slip systems
if (gndmodel==1) then
!
call gndmodel1
!
! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD
! constrained to active slip systems (same as model-1)
elseif (gndmodel==2) then
!
call gndmodel2
!
! rate form followed by direct projections
elseif (gndmodel==3) then
!
call gndmodel3(DTIME(1))
!
! slip gradients
elseif (gndmodel==4) then
!
call gndmodel4(DTIME(1))
!
!
endif
!
!
write(*,*) 'GNDs are computed!'
!
!
if (backstressmodel==2) then
!
call backstressmodel2
!
write(*,*) 'Backstresses are computed!'
!
end if
!
end if
!
end if
!
! update the time
time_old = time(2)
! store former converged time increment
dt_t = DTIME(1)
!
!
! update state variables
! assign the current results to the former values
statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:)
statev_evmp_t(:,:) = statev_evmp(:,:)
statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:)
statev_totgammasum_t(:,:) = statev_totgammasum(:,:)
statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:)
statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:)
statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:)
statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:)
statev_sigma_t(:,:,:) = statev_sigma(:,:,:)
statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:)
statev_tauc_t(:,:,:) = statev_tauc(:,:,:)
statev_maxx_t(:,:) = statev_maxx(:,:)
statev_Eec_t(:,:,:) = statev_Eec(:,:,:)
statev_gnd_t(:,:,:) = statev_gnd(:,:,:)
statev_ssd_t(:,:,:) = statev_ssd(:,:,:)
statev_ssdtot_t(:,:) = statev_ssdtot(:,:)
statev_forest_t(:,:,:) = statev_forest(:,:,:)
statev_loop_t(:,:,:) = statev_loop(:,:,:)
statev_substructure_t(:,:) = statev_substructure(:,:)
statev_tausolute_t(:,:) = statev_tausolute(:,:)
statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:)
statev_backstress_t(:,:,:) = statev_backstress(:,:,:)
statev_plasdiss_t(:,:) = statev_plasdiss(:,:)
!
write(*,*) 'States are updated!'
!
write(*,*) '--------------------------------'
!
!
endif
!
!
!
RETURN
END
!
!
!
!
!
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
1 RPL,DDSDDT,DRPLDE,DRPLDT,
2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
!
use userinputs, only: cutback, pastefront
use globalvariables, only: numel, numpt, numtens,
+ largenum, ip_init, init_once, ip_count
use initializations, only: initialize_atfirstinc
use cpsolver, only: solve
implicit none
!
!
INTEGER, INTENT(IN) ::
+ NDI, ! Number of direct stress components at this point
+ NSHR, ! Number of engineering shear stress components
+ NTENS, ! Size of the stress / strain components (NDI + NSHR)
+ NSTATV, ! Number of solution-dependent state variables
+ NPROPS, ! User-defined number of material constants
+ NOEL, ! Element number
+ NPT, ! Integration point number
+ LAYER, ! Layer number (shell elements etc.)
+ KSPT, ! Section point within the current layer
+ KINC ! Increment number (time increment)
INTEGER, DIMENSION(4), INTENT(IN) ::
+ JSTEP ! Step number (load step)
CHARACTER(LEN=80), INTENT(IN) ::
+ CMNAME ! Usee-specified material name, left justified
REAL(8), INTENT(IN) ::
+ DTIME, ! Time increment
+ TEMP, ! Temperature at the start of the increment
+ DTEMP, ! Increment of temperature
+ CELENT ! Temperature
REAL(8), DIMENSION(1), INTENT(IN) ::
+ PREDEF,
+ DPRED
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME ! Step time/total time at begin, of the current inc.
REAL(8), DIMENSION(3), INTENT(IN) ::
+ COORDS
REAL(8), DIMENSION(NTENS), INTENT(IN) ::
+ STRAN, ! Total strains at beginning of the increment
+ DSTRAN ! Strain increments
REAL(8), DIMENSION(NPROPS), INTENT(IN) ::
+ PROPS
REAL(8), DIMENSION(3,3), INTENT(IN) ::
+ DROT, ! Rotation increment matrix
+ DFGRD0, ! Deformation gradient at the former time increment
+ DFGRD1 ! Deformation gradient at the current time increment
REAL(8), INTENT(INOUT) ::
+ PNEWDT, ! Ratio of suggested new time increment to current time increment
+ SSE, ! Specific elastic strain engergy
+ SPD, ! Specific plastic dissipation
+ SCD, ! Specific creep dissipation
+ RPL, ! Volumetric heat generation
+ DRPLDT ! Variation of RPL with respect to the temperature
REAL(8), DIMENSION(NTENS), INTENT(INOUT) ::
+ STRESS ! Cauchy stress vector at the current time increment
REAL(8), DIMENSION(NSTATV), INTENT(INOUT) ::
+ STATEV ! Solution-dependent state variables
REAL(8), DIMENSION(NTENS), INTENT(OUT) ::
+ DDSDDT, ! Variation of the stress increments with respect to the temperature
+ DRPLDE ! Variation of RPL with respect to the strain increments
REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) ::
+ DDSDDE ! Material tangent at the current time increment
!
! local array for 3D crystal plasticity solver
real(8) :: sigma(6), jacobi(6,6)
! material-id needed for array allocations
integer :: matid, debug, debugwait
! counter
integer :: i
!
! turn VS debugger on/off
debug=0
do while (debug==1)
debugwait = 1
end do
!
! to avoid warning messages set the following to zero
DDSDDT = 0.
DRPLDE = 0.
!
! outputs
sigma = 0.
jacobi = 0.
!
!
!
! read the number of elements and number of integration points per element
if (ip_count(NOEL,NPT)<1) then
!
! Increment the counter
ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1
!
! store the number of elements
if (NOEL>numel) numel=NOEL
! store the number of integration points
if (NPT>numpt) numpt=NPT
!
! dimension of the problem (will be re-assigned in feprop)
numtens = ntens
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
PNEWDT=cutback
!
!
!
end if
!
!
! if arrays allocated then
! do the crystal plasticity calculations
if (init_once==1) then
!
!
! material/phase identifier
matid=int(PROPS(5))
!
! in some multi-body simulations UMAT entry for RGB has happened!
! in that case, RGB having no material-ID assigned gave array access issues
! this case deals with that situation
if (matid > 0) then
!
! material property initialization
if (ip_init(NOEL,NPT)==0) then
!
call initialize_atfirstinc(NOEL,NPT,COORDS,
+ NPROPS,PROPS,TEMP,NSTATV)
!
!
! write(*,*) 'element: ', NOEL
! write(*,*) 'ip: ', NPT
! write(*,*) 'initialized!'
end if
!
!
!
!
! call the main crystal plasticity solver
call solve(NOEL,NPT,DFGRD1,DFGRD0,
+ TEMP,DTEMP,DTIME,matid,
+ PNEWDT,NSTATV,STATEV,
+ sigma,jacobi)
!
!
!
! increase the time step if desired or,
! let ABAQUS decide!
if (pastefront > 1.) then
! if there is no cutback introduced
if (PNEWDT /= cutback) then
PNEWDT = pastefront
end if
end if
!
!
!
! 3D case
if (NTENS==6) then
!
STRESS = sigma
DDSDDE = jacobi
!
! plane strain case
elseif (NTENS==4) then
!
STRESS=0.
STRESS=0.
STRESS(1) = sigma(1)
STRESS(2) = sigma(2)
STRESS(3) = sigma(3)
STRESS(4) = sigma(4)
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(1,3) = jacobi(1,3)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(2,3) = jacobi(2,3)
DDSDDE(3,1) = jacobi(3,1)
DDSDDE(3,2) = jacobi(3,2)
DDSDDE(3,3) = jacobi(3,3)
DDSDDE(4,4) = jacobi(4,4)
!
! plane stress case
elseif (NTENS==3) then
!
STRESS=0.
! correction by Alvaro
STRESS(1) = sigma(1)-sigma(3)
STRESS(2) = sigma(2)-sigma(3)
!
STRESS(3) = sigma(4)
!
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(3,3) = jacobi(4,4)
!
end if
!
! if rigid body (or matid not defined in PROPS)
else
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
!
! end of crystal plasticity solution
end if
!
! end of one-time initialization performed case
end if
!
!
!
RETURN
END
================================================
FILE: Example - Polycrytal with PROPS/backstress.f
================================================
! May 03rd, 2022
! Eralp Demir
!
module backstress
implicit none
contains
!
! Armstrong-Frederic backstress model
! Two input parameters are required
subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX)
use userinputs, only : maxnparam
implicit none
! Inputs
! Backstress parameters
real(8), intent(in) :: backstressparam(maxnparam)
! Number of slip systems
integer, intent(in) :: nslip
! Current value of slip rate
real(8), intent(in) :: gdot(nslip)
! Current value of backstress
real(8), intent(in) :: X(nslip)
! time increment
real(8), intent(in) :: dt
!
! Output
! Backtress increment
real(8), intent(out) :: dX(nslip)
!
! Variables used in this subroutine
! Backstress evolution parameter
real(8) :: h
! Backstress relief parameter
real(8) :: hD
integer :: is
!
! Backstress evolution
h = backstressparam(1)
!
! Backstress annihiliation
hD = backstressparam(2)
!
dX = 0.
do is=1,nslip
!
dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt
!
end do
!
!
!
return
end subroutine backstressmodel1
!
!
!
!
!
! NON-LOCAL backstress calculation based on GND density
subroutine backstressmodel2
use userinputs, only: maxnslip
use globalvariables, only: numel, numpt,
+ materialid, numslip_all, numscrew_all, screw_all,
+ burgerv_all, gf_all, G12_all, v12_all,
+ backstressparam_all, statev_backstress,
+ statev_gnd, statev_gammasum
use utilities, only: matvec6
implicit none
integer :: matid, nslip, nscrew
real(8) :: burgerv(maxnslip)
integer :: screw(maxnslip)
real(8) :: X(maxnslip)
real(8) :: gf, G12, v12, xi
real(8) :: rhoGNDe, rhoGNDs, gsum
real(8) :: rhoGND(maxnslip)
integer :: ie, ip, is, i, k, l
!
!
!
!
!
!
do ie=1, numel
!
! Reset arrays
burgerv=0.;screw=0
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw = screw_all(matid,1:nscrew)
!
! Geometric factor
gf = gf_all(matid)
!
! Shear Modulus
G12 = G12_all(matid)
!
! Poisson's ratio
v12 = v12_all(matid)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! Backstress parameter
xi = backstressparam_all(matid,1)
!
!
do ip=1,numpt
!
!
!
!
!
!
! Reset backstress
X = 0.
!
!
rhoGND=0.
! Edges
do is = 1, nslip
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Edge dislocation density
rhoGNDe = statev_gnd(ie,ip,is)
!
!!
! rhoGND(is) = abs(statev_gnd(ie,ip,is))
!
!
! Backstress due to edges
X(is) = xi*G12/(1.-v12)*burgerv(is)*
+ sqrt(abs(rhoGNDe))*sign(1.0,gsum)
!
!
!
end do
!
!
!
! Screws
do i = 1, nscrew
!
is = screw(i)
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Screw dislocation density
rhoGNDs = statev_gnd(ie,ip,nslip+i)
!
! rhoGND(is) = rhoGND(is) +
! + abs(statev_gnd(ie,ip,nslip+i))
!
! Backstress due to screws
X(is) = X(is) + xi*G12*burgerv(is)*
+ sqrt(abs(rhoGNDs))*sign(1.0,gsum)
!
!
!
end do
!
!
!! Backstress
! do is = 1, nslip
!!
!! Sum of shear rates
! gsum = statev_gammasum(ie,ip,is)
!!
! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is))
! + *sign(1.0,gsum)
!!
! end do
!
!
! Assign to the global vector
statev_backstress(ie,ip,1:nslip) = X(1:nslip)
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
return
!
end subroutine backstressmodel2
!
!
end module backstress
================================================
FILE: Example - Polycrytal with PROPS/cpsolver.f
================================================
! Oct. 1st, 2022
! Eralp Demir
! This module contains the solver schemes for crystal plasticity
!
module cpsolver
implicit none
contains
!
! This subroutine deals with
! global variables and their assignments
! before entering the main solver:
! 1. assigns the global variables to locals
! before calling the CP-solver
! 2. calls fge-predictor scheme before as
! spare solution
! 3. calls implicit or explicit CP-solvers
! 4. assigns the results to the glboal state variables
subroutine solve(noel, npt, dfgrd1, dfgrd0,
+ temp, dtemp, dt, matid, pnewdt, nstatv, statev,
+ sigma, jacobi)
!
use globalvariables, only : dt_t,
+ statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum, statev_ssdtot_t,
+ statev_gammadot_t, statev_gammadot, statev_ssdtot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_loop_t, statev_loop,
+ statev_forest_t, statev_forest, statev_evmp_t, statev_evmp,
+ statev_substructure_t, statev_substructure, statev_sigma_t2,
+ statev_totgammasum_t, statev_totgammasum,
+ statev_tausolute_t, statev_tausolute, forestproj_all,
+ numslip_all, numscrew_all, phaseid_all, Schmid_0_all,
+ dirc_0_all, norc_0_all, caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, alphamat_all, burgerv_all,
+ sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all,
+ slipmodel_all, slipparam_all, creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all, irradiationmodel_all,
+ irradiationparam_all, backstressparam_all, slip2screw_all,
+ statev_backstress_t, statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff,
+ I3, I6, smallnum
!
use userinputs, only: constanttemperature, temperature,
+ predictor, maxnslip, maxnparam, maxxcr, cutback,
+ phi, maxnloop, stateupdate
!
!
use usermaterials, only: materialparam
!
use crss, only: slipresistance, totalandforest
!
use useroutputs, only: assignoutputs, nstatv_outputs
!
use errors, only: error
!
use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6,
+ rotord4sig, gmatvec6
!
implicit none
!
! element no
integer, intent(in) :: noel
!
! ip no
integer, intent(in) :: npt
!
!
! current deformation gradient
real(8), intent(in) :: dfgrd1(3,3)
!
! former deformation gradient
real(8), intent(in) :: dfgrd0(3,3)
!
! ABAQUS temperature
real(8), intent(in) :: temp
!
! ABAQUS temperature increment
real(8), intent(in) :: dtemp
!
! time step
real(8), intent(in) :: dt
!
! material id
integer, intent(in) :: matid
!
! time factor
real(8), intent(inout) :: pnewdt
!
! number of state variables - for postprocessing
integer, intent(in) :: nstatv
!
! state variables - postprocessing
real(8), intent(inout) :: statev(nstatv)
!
! Cauchy stress
real(8), intent(out) :: sigma(6)
!
! Material tangent
real(8), intent(out) :: jacobi(6,6)
!
! Local variables used within this subroutine
!
!
! phase-id
integer :: phaid
!
! number of slip systems
integer :: nslip
!
!
! Convergence flag (initially set to zero!)
!
! Flag for crystal plasticity explicit/implicit solver
integer :: cpconv
!
! Flag for Euler solver convergence
integer :: cpconv0
!
!
! Local state variables with known dimensions
! crystal to sample transformation at the former time step
real(8) :: gmatinv_t(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv(3,3)
! stress at the former time step
real(8) :: sigma_t(6)
! rss/crsss ratio at the former time step
real(8) :: maxx_t
! rss/crsss ratio at the current time step
real(8) :: maxx
! elastic strains in the crystal reference at the former time step
real(8) :: Eec_t(6)
! elastic strains in the crystal reference at the current time step
real(8) :: Eec(6)
! plastic deformation gradient at the former time step
real(8) :: Fp_t(3,3)
! plastic deformation gradient at the current time step
real(8) :: Fp(3,3)
! thermal deformation gradient at the former time step
real(8) :: Fth_t(3,3)
! thermal deformation gradient at the current time step
real(8) :: Fth(3,3)
! inverse of the thermal deformation gradient at the former time step
real(8) :: invFth_t(3,3)
! inverse of the thermal deformation gradient at the current time step
real(8) :: invFth(3,3)
! determinant of the thermal deformation gradient
real(8) :: detFth, detFth_t
! mechanical deformation gradient at the former time step
real(8) :: F_t(3,3)
! mechanical deformation gradient at the current time step
real(8) :: F(3,3)
!
! Variables for velocity gradient calculation
! Fdot
real(8) :: Fdot(3,3)
! velocity gradient at the current time step
real(8) :: L(3,3)
! inverse of the deformation gradient
real(8) :: Finv(3,3)
! determinant of the deformation gradient
real(8) :: detF
!
! Local state variable arrays
! sum of slip per slip system
real(8) :: gammasum_t(numslip_all(matid))
real(8) :: gammasum(numslip_all(matid))
! slip rates
real(8) :: gammadot_t(numslip_all(matid))
real(8) :: gammadot(numslip_all(matid))
! slip resistance
real(8) :: tauc_t(numslip_all(matid))
real(8) :: tauc(numslip_all(matid))
! effective overall slip resistance
! (tauc0 + GND + SSD + solute + substructure + forest + etc.)
real(8) :: tauceff_t(numslip_all(matid))
real(8) :: tauceff(numslip_all(matid))
! Note the size of GND is different
! gnd density (nslip + nscrew)
real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid))
real(8) :: gnd(numslip_all(matid)+numscrew_all(matid))
!
! ssd density (nslip)
real(8) :: ssd_t(numslip_all(matid))
real(8) :: ssd(numslip_all(matid))
! loop density (maxnloop)
real(8) :: loop_t(maxnloop)
real(8) :: loop(maxnloop)
! total forest dislocation density - derived from other terms
real(8) :: rhofor_t(numslip_all(matid))
real(8) :: rhofor(numslip_all(matid))
! total density
real(8) :: rhotot_t(numslip_all(matid))
real(8) :: rhotot(numslip_all(matid))
! forest dislocation density as a state variable
real(8) :: forest_t(numslip_all(matid))
real(8) :: forest(numslip_all(matid))
!
!
! Scalar state variables
! equivalent Von-Mises plastic strain
real(8) :: evmp_t
real(8) :: evmp
!
! cumulative slip
real(8) :: totgammasum_t
real(8) :: totgammasum
!
! plastic dissipation power
real(8) :: plasdiss_t
real(8) :: plasdiss
!
! solute strength
real(8) :: tausolute_t
real(8) :: tausolute
! substructure density
real(8) :: substructure_t
real(8) :: substructure
! total density
real(8) :: ssdtot_t
real(8) :: ssdtot
! scalar cumulartive density
real(8) :: sumrhotot_t
real(8) :: sumrhotot
!
! material-related local variables
! number screw systems
integer :: nscrew
! slip model flag
integer :: smodel
! creep model flag
integer :: cmodel
! hardening model flag
integer :: hmodel
! irradiation mdoel flag
integer :: imodel
! cubic slip flag
integer :: cubicslip
! material temperature
real(8) :: mattemp
! c/a ratio for hcp materials
real(8) :: caratio
! compliance at the crystal reference
real(8) :: Cc(6,6)
! geometric factor
real(8) :: gf
! shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! thermal expansion coefficient
real(8) :: alphamat(3,3)
! slip parameters
real(8) :: sparam(maxnparam)
! creep parameters
real(8) :: cparam(maxnparam)
! hardening parameters
real(8) :: hparam(maxnparam)
! irradiation parameters
real(8) :: iparam(maxnparam)
! Backstress parameters
real(8) :: bparam(maxnparam)
! Burgers vector
real(8) :: burgerv(numslip_all(matid))
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(numslip_all(matid),numslip_all(matid))
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(numslip_all(matid),numslip_all(matid))
! Latent hardening
real(8) :: hintmat1(numslip_all(matid),numslip_all(matid))
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(numslip_all(matid),numslip_all(matid))
!
!
! slip direction and slip plane normal at the crystal reference (undeformed)
real(8) :: dirc_0(numslip_all(matid),3)
real(8) :: norc_0(numslip_all(matid),3)
! slip direction and slip plane normal at the sample reference
real(8) :: dirs_t(numslip_all(matid),3)
real(8) :: nors_t(numslip_all(matid),3)
!
! Forest projection operators for GND and SSD
real(8) :: forestproj(numslip_all(matid),
+ numslip_all(matid)+numscrew_all(matid))
!
! Slip to screw system map
real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid))
!
! Schmid Dyadic
real(8) :: Schmid_0(numslip_all(matid),3,3)
real(8) :: Schmid(numslip_all(matid),3,3)
real(8) :: Schmidvec(numslip_all(matid),6)
real(8) :: SchmidxSchmid(numslip_all(matid),6,6)
real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3)
real(8) :: nsi(6), sni(6)
!
!
!
! strain calculations
! total strain increment
real(8) :: dstran(6), dstran33(3,3)
! thermal strain increment
real(8) :: dstranth33(3,3), dstranth(6)
! total spin increment
real(8) :: domega(3)
! total spin (rate) 3x3 matrix
real(8) :: W(3,3), dW33(3,3)
!
! Elasticity transformation
! temporary array for elastic stiffness calculation
real(8) :: rot4(6,6)
! elasticity matrix at the deformed reference
real(8) :: Cs(6,6)
!
! Trial stress calculation
! trial stress
real(8) :: sigmatr(6)
!
! Backstress at current time
real(8) :: X(numslip_all(matid))
! Backstress at former time
real(8) :: X_t(numslip_all(matid))
! Backstress backup solution
real(8) :: X0(numslip_all(matid))
!
! stress with rotations
real(8) :: sigmarot_t(6)
!
! stress (3x3)
real(8) :: sigma33_t(3,3)
!
!
! Resolved shear stress calculation
! GUESS values
real(8) :: sigma0(6), jacobi0(6,6)
! value of resolved shear stress
real(8) :: tau0(numslip_all(matid))
!
! value of resolved shear stress
real(8) :: tau_t(numslip_all(matid))
!
! value of trial resolved shear stress
real(8) :: tautr(numslip_all(matid))
! absolute value of resolved shear stress
real(8) :: abstautr(numslip_all(matid))
!
! dummy variables
real(8) :: dummy3(3), dummy33(3,3)
real(8) :: dummy33_(3,3)
real(8) :: dummy6(6), dummy66(6,6)
integer :: dum1, dum2, dum3
! unused variables
real(8) :: notused1(maxnslip)
real(8) :: notused2(maxnslip)
real(8) :: notused3(maxnslip)
! In case materials subroutine entered everytime
! Strength interaction between dislocations
real(8) :: notused4(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: notused5(maxnslip,maxnslip)
! Latent hardening
real(8) :: notused6(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: notused7(maxnslip,maxnslip)
! Initial forest and substructure densities
real(8) :: notused8, notused9
!
! counter
integer :: is, i, j
!
!
!
! Reset sparse arrays
notused1=0.;notused2=0.;notused3=0.
notused4=0.;notused5=0.
notused6=0.;notused7=0.
!
!
!
! convergence check initially
! if sinh( ) in the slip law has probably blown up
! then try again with smaller dt
if(any(dfgrd1 /= dfgrd1)) then
! Set the outputs to zero initially
sigma = 0.
jacobi = I6
! cut back time
pnewdt = cutback
! warning message in .dat file
call error(11)
! go to the end of subroutine
return
end if
!
!
!
! phase-id
phaid = phaseid_all(matid)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
!
!
!
! undeformed slip direction
dirc_0 = dirc_0_all(matid,1:nslip,1:3)
! undeformed slip plane normal
norc_0 = norc_0_all(matid,1:nslip,1:3)
!
!
! Forest projection for GND
forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew)
!
!
! Slip to screw system mapping
slip2screw = slip2screw_all(matid,1:nscrew,1:nslip)
!
! Initial Schmid tensor
Schmid_0 = Schmid_0_all(matid,1:nslip,:,:)
!
! Assign the global state variables
! to the local variables
! at the former time step
gammasum_t = statev_gammasum_t(noel,npt,1:nslip)
gammadot_t = statev_gammadot_t(noel,npt,1:nslip)
tauc_t = statev_tauc_t(noel,npt,1:nslip)
gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew)
ssd_t = statev_ssd_t(noel,npt,1:nslip)
loop_t = statev_loop_t(noel,npt,1:maxnloop)
ssdtot_t = statev_ssdtot_t(noel,npt)
forest_t = statev_forest_t(noel,npt,1:nslip)
substructure_t = statev_substructure_t(noel,npt)
evmp_t = statev_evmp_t(noel,npt)
plasdiss_t = statev_plasdiss_t(noel,npt)
totgammasum_t = statev_totgammasum_t(noel,npt)
tausolute_t = statev_tausolute_t(noel,npt)
sigma_t = statev_sigma_t(noel,npt,:)
Fp_t = statev_Fp_t(noel,npt,:,:)
Fth_t = statev_Fth_t(noel,npt,:,:)
Eec_t = statev_Eec_t(noel,npt,:)
! Crystal orientations at former time step
gmatinv_t = statev_gmatinv_t(noel,npt,:,:)
! Backstress at former time step
X_t = statev_backstress_t(noel,npt,1:nslip)
!
!
! Material parameters are constant
caratio = caratio_all(matid)
cubicslip = cubicslip_all(matid)
Cc = Cc_all(matid,:,:)
gf = gf_all(matid)
G12 = G12_all(matid)
alphamat = alphamat_all(matid,:,:)
burgerv = burgerv_all(matid,1:nslip)
!
!
sintmat1 = sintmat1_all(matid,1:nslip,1:nslip)
sintmat2 = sintmat2_all(matid,1:nslip,1:nslip)
hintmat1 = hintmat1_all(matid,1:nslip,1:nslip)
hintmat2 = hintmat2_all(matid,1:nslip,1:nslip)
!
!
!
smodel = slipmodel_all(matid)
sparam = slipparam_all(matid,1:maxnparam)
cmodel = creepmodel_all(matid)
cparam = creepparam_all(matid,1:maxnparam)
hmodel = hardeningmodel_all(matid)
hparam = hardeningparam_all(matid,1:maxnparam)
imodel = irradiationmodel_all(matid)
iparam = irradiationparam_all(matid,1:maxnparam)
bparam = backstressparam_all(matid,1:maxnparam)
!
!
!
!
! Temperature is constant and defined by the user
if (constanttemperature == 1) then
!
!
! Assign temperature
mattemp = temperature
!
!
!
! Temperature is defined by ABAQUS
! Material properties are entered every time
! Because properties can be temperature dependent
else if (constanttemperature == 0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
! get material constants
call materialparam(matid,mattemp,
+ dum1,dum2,dum3,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here
+ notused2,notused3,notused8,notused9,
+ smodel,sparam,cmodel,cparam,
+ hmodel,hparam,imodel,iparam,
+ notused4,notused5,notused6,
+ notused7,bparam) ! Interaction matrices are not updated here
!
!
!
!
!
end if
!
!
!
!
!
!
!
! Slip directions in the sample reference
call rotateslipsystems(phaid,nslip,caratio,
+ gmatinv_t,dirc_0,norc_0,dirs_t,nors_t)
!
!
! Calculate Schmid tensors and Schmid dyadic
Schmid=0.; SchmidxSchmid=0.
do is=1,nslip
!
! Slip direction
sdir = dirs_t(is,:)
! Slip plane normal
ndir = nors_t(is,:)
!
do i=1,3
do j=1,3
SNij(i,j) = sdir(i)*ndir(j)
NSij(j,i) = ndir(j)*sdir(i)
Schmid(is,i,j) = SNij(i,j)
enddo
enddo
!
!
!
!
call gmatvec6(SNij,sni)
!
call gmatvec6(NSij,nsi)
!
! Vectorized Schmid tensor
Schmidvec(is,1:6) = sni
!
do i=1,6
do j=1,6
SchmidxSchmid(is,i,j)=sni(i)*nsi(j)
enddo
enddo
!
enddo
!
!
!
! Calculate total and forest density
call totalandforest(phaid, nscrew, nslip,
+ gnd_t, ssd_t,
+ ssdtot_t, forest_t,
+ forestproj, slip2screw, rhotot_t,
+ sumrhotot_t, rhofor_t)
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv, sintmat1, sintmat2, tauc_t,
+ rhotot_t, sumrhotot_t, rhofor_t, substructure_t,
+ tausolute_t, loop_t, hmodel, hparam, imodel, iparam,
+ mattemp, tauceff_t)
!
!
!
!
! Elastic stiffness in the sample reference
!
! Rotation matrix - special for symmetric 4th rank transformation
call rotord4sig(gmatinv_t,rot4)
!
!
!
! Elasticity tensor in sample reference
dummy66=matmul(rot4,Cc)
Cs = matmul(dummy66,transpose(rot4))
!
!! To avoid numerical problems
! Cs = (Cs + transpose(Cs))/2.
!
!
!
!
!
! CALCULATION OF THERMAL STRAINS
!
! No thermal strains
if (constanttemperature == 1) then
!
!
dstranth = 0.
!
F = dfgrd1
!
F_t = dfgrd0
!
Fth = Fth_t
!
! Thermal strains if temperature change is defined by ABAQUS
else
!
! Thermal eigenstrain in the crystal reference system
dstranth33 = dtemp*alphamat
!
! Transform the thermal strains to sample reference
dstranth33 = matmul(matmul(gmatinv_t,dstranth33),
+ transpose(gmatinv_t))
!
!
!
!
!
! Convert to a vector
call matvec6(dstranth33,dstranth)
!
! Shear corrections
dstranth(4:6) = 2.0*dstranth(4:6)
!
!
!
! Thermal deformation gradient
Fth = Fth_t + dstranth33
!
! Invert the thermal distortions
call inv3x3(Fth,invFth,detFth)
!
call inv3x3(Fth_t,invFth_t,detFth_t)
!
! Take out the thermal distortions from the total deformation
F = matmul(dfgrd1,invFth)
!
F_t = matmul(dfgrd0,invFth_t)
!
!
!
end if
!
!
!
!
! MECHANICAL PART OF THE DEFORMATION GRADIENT
! Calculate velocity gradient
! Rate of deformation gradient
Fdot = (F - F_t) / dt
!
! Inverse of the deformation gradient
call inv3x3(F,Finv,detF)
!
! Velocity gradient
L = matmul(Fdot,Finv)
!
!
!
!
!
!
! CALCULATION OF TOTAL & MECHANICAL STRAINS
!
! Total stain increment from velocity gradient
dstran33=(L+transpose(L))*0.5*dt
!
!
!
call matvec6(dstran33,dstran)
!
! Shear corrections
dstran(4:6) = 2.0*dstran(4:6)
!
!
! Total spin
W=(L-transpose(L))*0.5
!
!
!
! Total spin increment - components
! This is corrected as follows: Eralp - Alvaro 19.02.2023
! The solution in Huang et al gives the negative -1/2*W
! We obtained the spin directly from velocity gradient
! 1. It is positive
! 2. It has to be divided by 2
domega(1) = W(1,2) - W(2,1)
domega(2) = W(3,1) - W(1,3)
domega(3) = W(2,3) - W(3,2)
domega = domega * dt / 2.
!
!
!
!
! Store the stress before rotation correction
sigmarot_t = sigma_t
!
!
! CALCULATION OF TRIAL STRESS
!
! Trial stress
sigmatr = sigma_t + matmul(Cs,dstran)
!
!
!
! 3x3 stress tensor
call vecmat6(sigma_t,sigma33_t)
!
!
!
! Co-rotational stress
sigma33_t = sigma33_t +
+ (matmul(W,sigma33_t) -
+ matmul(sigma33_t,W))*dt
!
!
!
! Vectorize the initial guess
call matvec6(sigma33_t,sigma_t)
!
!
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau_t(is) = dot_product(Schmidvec(is,:),sigma_t)
end do
!
!
!
! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
abstautr(is) = abs(tautr(is))
end do
!
!
! maximum ratio of rss to crss
maxx = maxval(abstautr/tauceff_t)
!
!
!
!
! DECISION FOR USING CRYSTAL PLASTICITY
! BASED ON THRESHOLD VALUE
!
! Elastic solution
if (maxx <= maxxcr) then
!
!
!
!
! stress
sigma = sigmatr
!
! material tangent
jacobi = Cs
!
!
! Assign the global state variables
! For NO SLIP condition
totgammasum=totgammasum_t
gammasum=gammasum_t
gammadot=0.
tauceff=tauceff_t
tauc=tauc_t
gnd=gnd_t
ssd=ssd_t
loop = loop_t
ssdtot=ssdtot_t
forest=forest_t
substructure=substructure_t
evmp=evmp_t
plasdiss=plasdiss_t
tausolute=tausolute_t
Fp=Fp_t
X=X_t
cpconv=1
cpconv0=0
!
! Update orietnations
! All the orientation changes are elastic - rotations
dW33=0.
dW33(1,2) = domega(1)
dW33(1,3) = -domega(2)
dW33(2,1) = -domega(1)
dW33(2,3) = domega(3)
dW33(3,1) = domega(2)
dW33(3,2) = -domega(3)
!
gmatinv = gmatinv_t + matmul(dW33,gmatinv_t)
!
! Elastic strains in the crystal lattice
! Add the former elastic strains
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dummy33)
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dummy33)
dummy33 = matmul(dummy33_,gmatinv)
!
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
Eec=Eec_t+dummy6
!
!
!
!
! Solve using crystal plasticity
else
!
!
!
! Guess if Forward Gradient Predictor scheme is not active
if (predictor == 0) then
!
sigma0 = (1.-phi)*sigma_t + phi*sigmatr
!
!
!
! This part is added by Chris Hardie (11/05/2023)
! Former stress scheme
elseif (predictor == 1) then
!
!
!
if (dt_t > 0.0) then
!
do i = 1, 6
sigma0(i) =
+ statev_sigma_t(noel,npt,i) +
+ (statev_sigma_t(noel,npt,i) -
+ statev_sigma_t2(noel,npt,i))*dt/dt_t
end do
!
else
sigma0 = sigma_t
end if
!
!
!
!
!
!
!
!
!
!
end if
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau0(is) = dot_product(Schmidvec(is,:),sigma0)
end do
!
!
!
call CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0, sigmatr,
+ forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ smodel, sparam, cmodel, cparam,
+ imodel, iparam, hmodel, hparam,
+ bparam, sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t,
+ rhofor_t, forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
!
!
!
!
!
!
!
!
!
! STILL NOT CONVERGED THE CUTBACK TIME
! Convergence check
! Use cpsolver did not converge
! Diverged! - use time cut backs
if (cpconv == 0) then
!
! Set the outputs to zero initially
sigma = 0.!statev_sigma_t(noel,npt,:)
jacobi = 0.!statev_jacobi_t(noel,npt,:,:)
! Set time cut back and send a message
pnewdt = cutback
!
endif
!
!
!
!
endif
!
!
!
!
!
!
! Assign the global state variables
statev_gammasum(noel,npt,1:nslip)=gammasum
statev_gammadot(noel,npt,1:nslip)=gammadot
statev_tauc(noel,npt,1:nslip)=tauc
statev_ssd(noel,npt,1:nslip)=ssd
statev_loop(noel,npt,1:maxnloop)=loop
statev_ssdtot(noel,npt)=ssdtot
statev_forest(noel,npt,1:nslip)=forest
statev_substructure(noel,npt)=substructure
statev_evmp(noel,npt)=evmp
statev_maxx(noel,npt)=maxx
statev_totgammasum(noel,npt)=totgammasum
statev_tausolute(noel,npt)=tausolute
statev_sigma(noel,npt,1:6)=sigma
statev_jacobi(noel,npt,1:6,1:6)=jacobi
statev_Fp(noel,npt,1:3,1:3)=Fp
statev_Fth(noel,npt,1:3,1:3)=Fth
statev_Eec(noel,npt,1:6)=Eec
! Crystal orientations at former time step
statev_gmatinv(noel,npt,1:3,1:3)=gmatinv
! Backstress
statev_backstress(noel,npt,1:nslip)=X
! Plastic dissipation power density
statev_plasdiss(noel,npt)=plasdiss
! Overall CRSS
statev_tauceff(noel,npt,1:nslip)=tauceff
!
! Write the outputs for post-processing
! If outputs are defined by the user
if (nstatv_outputs>0) then
!
call assignoutputs(noel,npt,nstatv,statev)
!
end if
!
!
!
!
!
!
return
end subroutine solve
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Semi-implicit / Explicit state update rule
! Solution using state variables at the former time step
subroutine CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0,
+ sigmatr, forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ slipmodel, slipparam,
+ creepmodel, creepparam,
+ irradiationmodel, irradiationparam,
+ hardeningmodel, hardeningparam,
+ backstressparam,
+ sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t, rhofor_t,
+ forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnloop,
+ tauctolerance , SVDinversion,
+ backstressmodel, stateupdate, inversebackup
!
use innerloop, only : Dunne_innerloop, Hardie_innerloop
!
use utilities, only : vecmat6, matvec6,
+ nolapinverse, deter3x3, inv3x3, trace3x3,
+ vecmat9, matvec9, nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use hardening, only: hardeningrules
!
use backstress, only: backstressmodel1
!
use crss, only: slipresistance, totalandforest
!
use errors, only : error
!
implicit none
!
!
! INPUTS
!
! material-id
integer, intent(in) :: matid
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! number of screw sytems
integer, intent(in) :: nscrew
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! geometric factor
real(8), intent(in) :: gf
! elastic shear modulus
real(8), intent(in) :: G12
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! plastic part of the deformation gradient at former time step
real(8), intent(in) :: Fp_t(3,3)
! Crystal to sample transformation martrix at former time step
real(8), intent(in) :: gmatinv_t(3,3)
! Lattice strains
real(8), intent(in) :: Eec_t(6)
! slip rates at the former time step
real(8), intent(in) :: gammadot_t(nslip)
! total slip per slip system accumulated over the time
! at the former time step
real(8), intent(in) :: gammasum_t(nslip)
! overall total slip at the former time step
real(8), intent(in) :: totgammasum_t
! Von-Mises equivalent total plastic strain at the former time step
real(8), intent(in) :: evmp_t
! Plastic dissipation power density at the former time step
real(8), intent(in) :: plasdiss_t
! Cauchy stress guess
real(8), intent(in) :: sigma0(6)
! rss guess
real(8), intent(in) :: tau0(nslip)
! trial stress
real(8), intent(in) :: sigmatr(6)
! Forest projections
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
! Forest projections
real(8), intent(in) :: slip2screw(nscrew,nslip)
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! hardening model no.
integer, intent(in) :: hardeningmodel
! hardening model parameters
real(8), intent(in) :: hardeningparam(maxnparam)
! backstress model parameters
real(8), intent(in) :: backstressparam(maxnparam)
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
!
! overall crss
real(8), intent(in) :: tauceff_t(nslip)
! crss at former time step
real(8), intent(in) :: tauc_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: rhotot_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: sumrhotot_t
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: ssdtot_t
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor_t(nslip)
! forest dislocation density per slip system at the former time step (hardening model = 4)
real(8), intent(in) :: forest_t(nslip)
! substructure dislocation density at the former time step
real(8), intent(in) :: substructure_t
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: gnd_t(nslip+nscrew)
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: ssd_t(nslip)
! loop defect density per slip system at the former time step
real(8), intent(in) :: loop_t(maxnloop)
! backstress at former time step
real(8), intent(in) :: X_t(nslip)
! time increment
real(8), intent(in) :: dt
! total velocity gradient at the current time step
real(8), intent(in) :: L(3,3)
! mechanical strain increment
real(8), intent(in) :: dstran(6)
!
!
!
! OUTPUTS
!
! plastic part of the deformation gradient
real(8), intent(out) :: Fp(3,3)
! Crystal to sample transformation martrix at current time step
real(8), intent(out) :: gmatinv(3,3)
! Green-Lagrange strains in the crystal reference
real(8), intent(out) :: Eec(6)
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(out) :: gammasum(nslip)
! overall total slip at the current time step
real(8), intent(out) :: totgammasum
! Von-Mises equivalent total plastic strain at the current time step
real(8), intent(out) :: evmp
! Plastic dissipation power density at the current time step
real(8), intent(out) :: plasdiss
! Current values of state variables
! overall crss
real(8), intent(out) :: tauceff(nslip)
! crss at the current time step
real(8), intent(out) :: tauc(nslip)
! solute strength due to irradiation hardening
real(8), intent(out) :: tausolute
! total dislocation density over all slip systems at the current time step
real(8), intent(out) :: ssdtot
! forest dislocation density per slip system at the current time step
real(8), intent(out) :: forest(nslip)
! substructure dislocation density at the current time step
real(8), intent(out) :: substructure
! statistically-stored dislocation density per slip system at the current time step
real(8), intent(out) :: ssd(nslip)
! loop defect density per slip system at the current time step
real(8), intent(out) :: loop(maxnloop)
! crss at the current time step
real(8), intent(out) :: X(nslip)
! Cauchy stress
real(8), intent(out) :: sigma(6)
! material tangent
real(8), intent(out) :: jacobi(6,6)
! convergence flag
integer, intent(out) :: cpconv
!
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3), Dp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3), Dp_c(3,3)
! plastic velocity gradient
real(8) Lp(3,3), Dp(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto crss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto crss for creep
real(8) dgammadot_dtauc_c(nslip)
!
!
! rss at the former time step
real(8) :: tau(nslip)
! absolute RSS and sign (used in Hardie scheme)
real(8) :: abstau(nslip), signtau(nslip)
!
! trial absolute RSS and sign (used in Hardie scheme)
real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
! Von-Mises equivalent plastic strain rate and increment
real(8) :: pdot
!
! stress increment
real(8) :: dsigma(6)
!
! stress 3x3 matrix
real(8) :: sigma33(3,3)
!
! plastic part of the deformation gradient
real(8) :: detFp, invFp(3,3)
!
! elastic part of the deformation gradient
real(8) :: Fe(3,3)
!
! elastic part of the velocity gradient
real(8) :: Le(3,3)
!
! elastic spin
real(8) :: We(3,3)
!
! increment in rotation matrix
real(8) :: dR(3,3)
!
! Von-Mises stress
real(8) :: sigmaii, vms, sigmadev(3,3)
!
! Co-rotational stress update
real(8) :: dotsigma33(3,3)
!
! Cauchy stress at former time step in 3x3
real(8) :: sigma33_t(3,3)
!
! Total mechanical strain increment
real(8) :: dstran33(3,3)
!
! plastic strain increment
real(8) :: dstranp33(3,3)
!
! elastic strain increment
real(8) :: dstrane33(3,3)
!
! crss increment
real(8) :: dtauc(nslip)
!
!
! ssd density increment
real(8) :: dssd(nslip)
!
! ssd density increment
real(8) :: dloop(maxnloop)
!
! backstress increment
real(8) :: dX(nslip)
!
! total ssd density increment
real(8) :: dssdtot
!
! forest dislocation density increment
real(8) :: dforest(nslip)
!
! substructure dislocation density increment
real(8) :: dsubstructure
!
! Residues
real(8) :: dtauceff(nslip), tauceff_old(nslip)
!
!
! overall forest density
real(8) :: rhofor(nslip)
!
! overall total density
real(8) :: rhotot(nslip)
!
! overall total scalar density
real(8) :: sumrhotot
!
! Overall residue
real(8) :: dtauceffnorm
!
! error flag for svd inversion
integer :: err
!
! other variables
real(8) :: dummy3(3), dummy33(3,3),
+ dummy33_(3,3), dummy6(6), dummy0
integer :: is, il, iter, oiter
integer :: iterinverse
!
!
! Set convergence flag to "converged"
cpconv = 1
!
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
!
!
! State assignments
gammasum=gammasum_t
tauc = tauc_t
tauceff = tauceff_t
ssdtot = ssdtot_t
ssd = ssd_t
loop = loop_t
rhofor = rhofor_t
X = X_t
forest = forest_t
substructure = substructure_t
!
! Reset variables for the inner iteration
oiter = 0
dtauceffnorm = 1.
!
!
! Outer loop for state update
do while ((dtauceffnorm >= tauctolerance)
+.and.(oiter < maxniter).and.(cpconv==1))
!
!
!
!
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
end if
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
endif
!
!
! Inverse scheme start here!!!
! Try inverse scheme if not converged
if ((cpconv==0).and.(inversebackup==1)) then
!
! Reset convergence flag
cpconv=1
!
! Calculate trial-resolved shear stress on slip systems
! Absolute value of trial-RSS and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
signtautr(is) = sign(1.0,tautr(is))
abstautr(is) = abs(tautr(is))
end do
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
! Absolute value of RSS and its sign
do is = 1, nslip
signtau(is) = sign(1.0,tau0(is))
abstau(is) = abs(tau0(is))
end do
!
! Reverse slip scheme
call Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
!
!
!
! Recalculate RSS on slip systems
! RSS and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! Call the Dunne solver again
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
! assign jacobi and stress
if (cpconv == 0) then
return
end if
!
end if
! End of inverse solution
!
!
!
! Calculate Von Mises invariant plastic strain rate
pdot=sqrt(2./3.*sum(Dp*Dp))
!
!
! Total plastic strain increment
evmp = evmp_t + pdot*dt
!
! Total slip over time per slip system
gammasum = 0.
do is = 1, nslip
!
gammasum(is) = gammasum_t(is) +
+ gammadot(is)*dt
!
enddo
!
!
! Total slip
totgammasum = totgammasum_t +
+ sum(abs(gammadot))*dt
!
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
!
!
!
!
! Update the states using hardening laws
call hardeningrules(phaid,nslip,
+ mattemp,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,
+ tauc_t,ssd_t,loop_t,
+ rhofor_t,rhotot_t,substructure_t,
+ tausolute,dtauc,dssdtot,dforest,
+ dsubstructure,dssd,dloop)
!
!
!
!
! Update the hardening states
!
tauc = tauc_t + dtauc
!
ssd = ssd_t + dssd
!
loop = loop_t + dloop
!
ssdtot = ssdtot_t + dssdtot
!
forest = forest_t + dforest
!
substructure = substructure_t + dsubstructure
!
!
!
! Recalculate total and forest density
call totalandforest(phaid,
+ nscrew, nslip, gnd_t,
+ ssd, ssdtot, forest,
+ forestproj, slip2screw, rhotot,
+ sumrhotot, rhofor)
!
!
!
! Store the former value of effective tauc
tauceff_old = tauceff
!
! Recalculate slip resistance for the next iteration
! Calculate crss
call slipresistance(phaid, nslip,
+ gf, G12, burgerv, sintmat1, sintmat2,
+ tauc, rhotot, sumrhotot, rhofor,
+ substructure, tausolute, loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff)
!
!
! Calculate the change of state
! with respect to the former increment
dtauceff = abs(tauceff-tauceff_old)
!
! Explicit state update
if (stateupdate==0) then
dtauceffnorm = 0.
! Semi-implicit state update
elseif (stateupdate==1) then
dtauceffnorm = maxval(dtauceff)
end if
!
!
!
! Check if the statevariables going negative due to softening
! This may happen at high temperature and strain rates constants going bad
if(any(tauc < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(any(ssd < 0.)) then
! did not converge
cpconv = 0
return
endif
!
! Loop density set to zero if negative
do il = 1, maxnloop
if(loop(il) < 0.) then
!
loop(il) = 0.
!
endif
enddo
!
!
if(any(forest < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(substructure < 0.) then
! did not converge
cpconv = 0
return
endif
!
!
! Update backstress if local model is selected
if (backstressmodel==1) then
!
call backstressmodel1(backstressparam,
+ nslip,X,gammadot,dt,dX)
!
! Update the backstress
X = X_t + dX
!
end if
!
!
! increment iteration no.
oiter = oiter + 1
!
! End of state update (outer loop)
end do
!
!
!
! convergence check
if (oiter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
!
! calculate jacobian
jacobi = matmul(invdpsi_dsigma,Cs)
!
!
!
! Check for NaN in the jacobi matrix
if(any(jacobi/=jacobi)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
! convert it to 3x3 marix
call vecmat6(sigma,sigma33)
!
! Trace of stress
call trace3x3(sigma33,sigmaii)
!
! deviatoric stress
sigmadev = sigma33 - sigmaii*I3/3.
!
! Von-Mises stress
vms = sqrt(3./2.*(sum(sigmadev*sigmadev)))
!
!
! variables for plastic part of the deformation gradient
!dummy33 = I3 - Lp*dt
!call inv3x3(dummy33,dummy33_,dummy0)
dummy33_ = I3 + Lp*dt
!
! plastic part of the deformation gradient
Fp = matmul(dummy33_,Fp_t)
!
! determinant
call deter3x3(Fp,detFp)
!
!
!
!
! check wheter the determinant is negative
! or close zero
if (detFp <= smallnum) then
! did not converge
cpconv = 0
return
else
! Scale Fp with its determinant to make it isochoric
Fp = Fp / detFp**(1./3.)
!
end if
!
!
!
!
!
!
! Elastic part of the velocity gradient
Le = L - Lp
!
! Elastic spin
We = (Le - transpose(Le)) / 2.
!
!
!
! stress rate due to spin
dotsigma33 = matmul(We,sigma33) - matmul(sigma33,We)
!
!
! Update co-rotational sress state
sigma33 = sigma33 + dotsigma33*dt
!
!
! Vectorize stress
call matvec6(sigma33,sigma)
!
!
!
!
!
! Orientation update
!
! Intermediate variable
dR = I3 - We*dt
!
! Invert or transpose since rotations are orthogonal
dR = transpose(dR)
!
!
!
! Update the crystal orientations
gmatinv = matmul(dR, gmatinv_t)
!
!
!
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dstran33)
!
! Elastic strain increment
dstrane33 = dstran33-dstranp33
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dstrane33)
dummy33 = matmul(dummy33_,gmatinv)
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
! Add the strain increment to the former value
Eec=Eec_t+dummy6
!
!
! Plastic dissipation power density
plasdiss=0.
do is = 1, nslip
!
plasdiss = plasdiss +
+ tau(is)*gammadot(is)*dt
!
enddo
!
!
! Sum over the fomer value
plasdiss = plasdiss_t + plasdiss
!
!
!
!
!
!
!
!
!
!
!
return
end subroutine CP_Dunne
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Implicit state update rule
! Solution using the updated state variables
subroutine rotateslipsystems(iphase,nslip,caratio,
+ gmatinv,dirc,norc,dirs,nors)
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nslip
real(8), intent(in) :: caratio
real(8), intent(in) :: gmatinv(3,3)
real(8), intent(in) :: dirc(nslip,3)
real(8), intent(in) :: norc(nslip,3)
real(8), intent(out) :: dirs(nslip,3)
real(8), intent(out) :: nors(nslip,3)
!
integer :: i, is
real(8) :: tdir(3), tnor(3)
real(8) :: tdir1(3), tnor1(3)
real(8) :: dirmag, normag
!
dirs=0.;nors=0.
!
!
do is=1,nslip ! rotate slip directions
!
tdir = dirc(is,:)
tnor = norc(is,:)
!
!
!
tdir1 = matmul(gmatinv,tdir)
tnor1 = matmul(gmatinv,tnor)
!
dirmag = norm2(tdir1)
normag = norm2(tnor1)
!
!
dirs(is,:) = tdir1/dirmag
nors(is,:) = tnor1/normag
!
!
end do
!
!
!
!
return
end subroutine rotateslipsystems
!
!
!
!
!
!
!
!
!
!
!
!
!
end module cpsolver
================================================
FILE: Example - Polycrytal with PROPS/creep.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Creep laws
! 1. exponential law (used for Ni-superalloy)
!
module creep
implicit none
contains
!
!
subroutine expcreep(Schmid_0,
+ Schmid,SchmidxSchmid,tau,X,tauc,
+ dtime,nslip,iphase,T,creepparam,slipsysplasstran,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc)
!
use globalvariables, only : Rgas
use utilities, only : gmatvec6
use userinputs, only: maxnparam
implicit none
! Schmid tensor - undeformed
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor - deformed
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! time increment
real(8), intent(in) :: dtime
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: creepparam(maxnparam)
! accumulated plastic strain on each slip system, signed
real(8), intent(in) :: slipsysplasstran(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd
real(8) :: abstau, signtau
integer :: is
!
!
!
!
! Obtain creep parameters
! reference creep rate (1/s)
gammadotc = creepparam(1)
! creep stress multiplier (1/MPa)
bc = creepparam(5)
! activation energy for creep (J/mol)
Qc = creepparam(3)
! reference damage rate (1/s)
gammadotd = creepparam(4)
! damage stress multiplier (1/MPa)
bd = creepparam(5)
! activation energy for damage (J/mol)
Qd = creepparam(6)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
!
gammadot=0.
dgammadot_dtau=0.
dgammadot_dtauc=0.
!
!
!
! contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! This statement is redundant so commented out!
! if (abstau > 0.0) then
!
!
gammadot(is) =
+ signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) +
+ signtau*abs(slipsysplasstran(is))*gammadotd*
+ exp(bd*abstau-Qd/Rgas/T)
!
dgammadot_dtau(is) = gammadotc*bc*
+ exp(bc*abstau-Qc/Rgas/T) +
+ abs(slipsysplasstran(is))*
+ gammadotd*bd*exp(bd*abstau-Qd/Rgas/T)
!
!
!
!
! contribution to Jacobian
Pmat = Pmat + dtime*dgammadot_dtau(is)
+ *SchmidxSchmid(is,:,:)
!
! plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
!
! plastic velocity gradient contribution
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
! endif
!
!
!
end do
!
!
!
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
!
end subroutine expcreep
!
!
!
!
!
end module creep
================================================
FILE: Example - Polycrytal with PROPS/crss.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module crss
implicit none
contains
!
! ********************************************************
! ** crss calculates the crss of slip systems **
! ********************************************************
subroutine slipresistance(iphase,nslip,gf,G12,
+ burgerv,sintmat1,sintmat2,
+ tauc0,rhotot,sumrhotot,rhofor,
+ rhosub,tausolute,loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel,irradiationparam,
+ temperature,
+ tauc)
use userinputs, only: useaveragestatevars,
+ maxnloop, maxnparam
implicit none
!
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! geometric factor
real(8),intent(in) :: gf
!
! shear modulus for taylor dislocation law
real(8),intent(in) :: G12
!
! burgers vectors
real(8),intent(in) :: burgerv(nslip)
!
! Strength interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
!
!
! critical resolved shear stress of slip systems
real(8),intent(in) :: tauc0(nslip)
!
! total dislocation density (immobile)
real(8),intent(in) :: rhotot(nslip)
!
! total scalar dislocation density (immobile)
real(8),intent(in) :: sumrhotot
!
! forest dislocation density
real(8),intent(in) :: rhofor(nslip)
!
! substructure dislocation density
real(8),intent(in) :: rhosub
!
! increase in tauc due to solute force
real(8),intent(in) :: tausolute
!
! increase in tauc due to loop defects
real(8),intent(in) :: loop(maxnloop)
!
! hardeningmodel
integer,intent(in) :: hardeningmodel
!
! hardening model parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! activate irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! current temperature
real(8),intent(in) :: temperature
!
! critical resolved shear stress of slip systems
real(8),intent(out) :: tauc(nslip)
!
! variables used in this subroutine
integer :: is, il, nloop
real(8) :: Ploop(nslip)
!
! Subtructure density
real(8) :: tausub(nslip)
! Substructure factor
real(8) :: ksub
!
! Precipitate strengthening parameters
! Strength factor / geometric factor
real(8) :: gfp
! Number density of precipitates [1/mm^3]
real(8) :: rhop
! Particle diameter [mm]
real(8) :: Dp
!
!
! Reset the density of loops
Ploop = 0.
!
! Reset Substructure density
tausub = 0.
!
!
! Reset Precipitate strength
if (hardeningmodel==5) then
! Precipitate strength parameters
gfp=hardeningparam(5)
rhop=hardeningparam(6)
Dp=hardeningparam(7)
else
gfp=0.; rhop=0.; Dp=0.
end if
!
!
!
! If irradiation model-2 is set ON
! Compute the strength contribution
if (irradiationmodel==2) then
!
! Number of defects
nloop = int(irradiationparam(1))
!
do is = 1, nslip
!
!
do il = 1, 3
!
Ploop(is) = Ploop(is) +
+ sintmat2(is,il)**2. * loop(il)
!
end do
!
end do
!
!
!
end if
!
!
!
!
!
!
!
! Check crystal type
! Only for alpha-uranium there is an exception
!
!
!
! Defined by data fitting
! as a function of rhofor, rhosub, and temperature
if (iphase == 4) then
!
! alpha-uranium model with forest and substructure dislocations
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome
! Deformation of wrought uranium: experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) +
+ 1.8218 * dsqrt(rhosub) *
+ log(1. / burgerv(1) / dsqrt(rhosub))
tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) +
+ 1.7995 * dsqrt(rhosub) *
+ log(1. / burgerv(2) / dsqrt(rhosub))
tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(3) / dsqrt(rhosub))
tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(4) / dsqrt(rhosub))
tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(5) / dsqrt(rhosub))
tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(6) / dsqrt(rhosub))
tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(7) / dsqrt(rhosub))
tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(8) / dsqrt(rhosub))
!
! zecevic 2016 temperature dependence
tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0)
tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0)
tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0)
tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0)
tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0)
tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0)
tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0)
tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0)
!
! daniel, lesage, 1971 minimum value as minima
tauc(1) = max(tauc(1),4.0)
tauc(2) = max(tauc(2),4.0)
tauc(3) = max(tauc(3),4.0)
tauc(4) = max(tauc(4),4.0)
tauc(5) = max(tauc(5),4.0)
tauc(6) = max(tauc(6),4.0)
tauc(7) = max(tauc(7),4.0)
tauc(8) = max(tauc(8),4.0)
!
!
!
! For any other phase
! Use forest/total dislocation spacing to determine the strength
!
else
!
! Substructure density
if (hardeningmodel==4) then
!
do is = 1, nslip
ksub = hardeningparam(9)
tausub(is) = ksub*G12*burgerv(is)*
+ dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub))
end do
!
end if
!
!
if (useaveragestatevars == 0) then
!
do is = 1, nslip
!
!
!! Taylor strength - total density / backstress
! tauc(is) = tauc0(is) +
! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is))
!
!
! Taylor strength - forest spacing / cut-through
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
!
!
elseif (useaveragestatevars == 1) then
!
!
do is = 1, nslip
!
! Taylor strength - total density
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*sumrhotot +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
!! Taylor strength - total density
! tauc(is) = tauc0(is)*(1.-X) +
! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) +
! + gf**2.*rhotot + Ploop(is))
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
endif
!
!
!
!
!
!
!
end if ! check crystal type
!
!
!
! Effect of irradiation
! True for all crystal types
if (irradiationmodel == 1) then
tauc = tauc + tausolute
end if
!
!
!
return
!
end subroutine slipresistance
!
!
!
! Calculates the total and forest density
! from SSD and GND densities using summation
! and forest projections
subroutine totalandforest(iphase, nscrew, nslip,
+ gnd, ssd, ssdtot, forest, forestproj, slip2screw,
+ rhotot, sumrhotot, rhofor)
use utilities, only : vecprod
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nscrew
integer, intent(in) :: nslip
real(8), intent(in) :: gnd(nslip+nscrew)
real(8), intent(in) :: ssd(nslip)
real(8), intent(in) :: ssdtot
real(8), intent(in) :: forest(nslip)
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
real(8), intent(in) :: slip2screw(nscrew,nslip)
real(8), intent(out) :: rhotot(nslip)
real(8), intent(out) :: sumrhotot
real(8), intent(out) :: rhofor(nslip)
!
! local variables
!
real(8) vec(3)
integer i, j
!
!
!
!
!
! Compute forest density
! Add gnd and sdd contributions (if exist)
! Forest projections
rhofor = forest + matmul(forestproj, abs(gnd)) +
+ matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges
+ matmul(forestproj(1:nslip,nslip+1:nslip+nscrew),
+ matmul(slip2screw,ssd)) ! screws
!
!
rhotot = ssd +
+ abs(gnd(1:nslip)) + ! edges
+ matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws
!
!
!
! Scalar sum
sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot
!
!
return
end subroutine totalandforest
!
end module crss
================================================
FILE: Example - Polycrytal with PROPS/errors.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This is written point the user to the sources of errors
!
module errors
implicit none
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine error(errorid)
implicit none
!
!
!
integer :: errorid
!
!
! Message only when exiting the subroutine
!
if(errorid.eq.1) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-001: Material-ID is out of range (1-9).
+ Pls. check materials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.2) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-002: Element type is not defined!
+ Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.3) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-003: "cubicslip" integer parameter is not
+ properly defined. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.4) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-004: phase id of the material is not
+ within the possible limits!. Pls. check PROPS variable!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.5) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-005: "temperatureflag" is not
+ within the possible limits. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.6) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-006: "NSTATV" is less than the
+ defined outputs.
+ Pls. check DEPVAR in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.7) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-007: GND calculation is not possible
+ for the selected element type.
+ Pls. change the element type in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.8) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-008: Zero activation volume!
+ Pls. check the slip parameters and make sure that the
+ initial dislocation density has non-zero value
+ in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.9) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-009: Could not read the element type
+ and the total number of elements from *.INP file.
+ Pls. check the file name in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.10) then
! write(*,*) '*******************ERROR*******************'
! write(*,*) 'ERROR-010: "Bmat" for L2 method
! + is not invertible.
! + GND model will give zero GND densities!.'
! write(*,*) '*******************************************'
else if (errorid.eq.11) then
! write(*,*) '******************WARNING******************'
! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '*******************************************'
else if (errorid.eq.12) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-012: Lp iteration did not converge'
! write(*,*) 'Using forward-gradient Euler predictor'
! write(*,*) '**********************************************'
else if (errorid.eq.13) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-013: singular matrix in Lp iteration'
! write(*,*) 'Will continue if alternate solution exists!'
! write(*,*) '**********************************************'
else if (errorid.eq.14) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-014: forward-gradient Euler predictor
! + did not converge or it does not exist'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.15) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-015: tmat array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.16) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-016: NR scheme reached maximum number of
! + iterations'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.17) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-017: stress array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.18) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-018: jacobian array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.19) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-019: det(Fp) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.20) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-020: det(Fe) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.21) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-021: state variables become negative'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.22) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-022: inversion in predictor did not work'
! write(*,*) ''
! write(*,*) '**********************************************'
else
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-???: Unknown error!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
end if
!
!
return
end subroutine error
!
!
!
end module errors
================================================
FILE: Example - Polycrytal with PROPS/globalvariables.f
================================================
! Sept. 20th, 2022
! Eralp Demir
! University of Oxford
!
! Global variables used within the code
module globalvariables
implicit none
!
!
!
! MATERIAL-LINKED GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! Global variable for Euler angles
real(8), allocatable, public :: Euler(:,:)
! Global variable storing grain id
! Different grains can be present in the mesh
integer, allocatable, public :: featureid(:,:)
!
! Global variable storing material id
integer, allocatable, public :: materialid(:,:)
!
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid(:,:)
!
!
!
! Global variable storing phase-id
! This refers to the crystal structure
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid_all(:)
!
! Global variable for number of slip systems
! Number of slip systems could be different for each ip
integer, allocatable, public :: numslip_all(:)
!
! Global variable for number of slip systems
! Required for GND calculations
! Number of slip systems could be different for each ip
integer, allocatable, public :: numscrew_all(:)
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, allocatable, public :: slipmodel_all(:)
!
! Slip parameters
! Array size adjustable
real(8), allocatable, public :: slipparam_all(:,:)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
!
!
! Creep model identifier
! 0: no creep
! 1: sinh slip strain
! 2: exponential slip strain
! 3: power law slip strain
! 4: sinh slip strain + climb strain
! Default value is set to 0
integer, allocatable, public :: creepmodel_all(:)
! Creep parameters
! Array size adjustable
real(8), allocatable, public :: creepparam_all(:,:)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Kocks-Mecking hardening
! 2: Voce type hardening
! Default value is set to 0
integer, allocatable, public :: hardeningmodel_all(:)
! Hardening parameters
! Array size adjustable
real(8), allocatable, public :: hardeningparam_all(:,:)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, allocatable, public :: irradiationmodel_all(:)
! Irradiation model parameters
! Array size adjustable
real(8), allocatable, public :: irradiationparam_all(:,:)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
!
! Backstress model parameters
! Array size adjustable (maxnmaterial, maxnparam)
real(8), allocatable, public :: backstressparam_all(:,:)
!
! The following variables are stored for every element and ip
! INITALLY - only once at the beginning
! This is done for the following reasons
! 1. In order to reduce computation time
! 2. Various materials can be present in the mesh
!
! Global variable for caratio
real(8), allocatable, public :: caratio_all(:)
!
! Global variable for cubicslip
integer, allocatable, public :: cubicslip_all(:)
!
! Global variable for elasticity in crystal reference
real(8), allocatable, public :: Cc_all(:,:,:)
!
! Global variable for geometric factor in Taylor equation
real(8), allocatable, public :: gf_all(:)
!
! Global variable for shear modulus
real(8), allocatable, public :: G12_all(:)
!
! Global variable for Poisson's ratio
real(8), allocatable, public :: v12_all(:)
!
! Global variable for thermal expansion matrix
real(8), allocatable, public :: alphamat_all(:,:,:)
!
! Global variable for Burgers vector
real(8), allocatable, public :: burgerv_all(:,:)
!
!
! INTERACTION MATRICES
! Global variables for dislocation strength interaction matrix
real(8), allocatable, public :: sintmat1_all(:,:,:)
!
! Global variable for dislocation irradiation loop strength interaction matrix
real(8), allocatable, public :: sintmat2_all(:,:,:)
!
! Global variable for latent hardening interaction
real(8), allocatable, public :: hintmat1_all(:,:,:)
!
! Global variable for dislocation hardening interaction
real(8), allocatable, public :: hintmat2_all(:,:,:)
!
! Screw systems
integer, allocatable, public :: screw_all(:,:)
!
!
!
! -------------------------------------------------------------------------------
!
!
!
!
! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! time at former time step
real(8), public :: time_old
!
! time increment at former time step
real(8), public :: dt_t
!
! Global initialization flag for elemental initialization
! Orientation assigment
! Initial slip direction calculations
! Global coordinates
integer, allocatable, public :: initialized_firstinc(:,:)
!
!
! Global initialization flag for IP initialization
integer, allocatable, public :: ip_init(:,:)
!
! Global one-time initialization flag
integer, public :: init_once
!
! Global one-time initialization flag
integer, public :: grad_init
!
! Global flag for IP count (10m elements, 100 ips)
integer, allocatable, public :: ip_count(:,:)
!
! Crystal orientation at current time step
real(8), allocatable, public :: statev_gmatinv(:,:,:,:)
! Crystal orientation at former time step
real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:)
! Crystal orientation initially
real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:)
!
! Total cumulative Von-Mises equivalent plastic strain at current time step
real(8), allocatable, public :: statev_evmp(:,:)
! Total cumulative Von-Mises equivalent plastic strain at former time step
real(8), allocatable, public :: statev_evmp_t(:,:)
!
! Plastic dissipation power density at current time step
real(8), allocatable, public :: statev_plasdiss(:,:)
! Plastic dissipation power density at former time step
real(8), allocatable, public :: statev_plasdiss_t(:,:)
!
! Effective critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauceff(:,:,:)
!
!
! Total cumulative slip at current time step
real(8), allocatable, public :: statev_totgammasum(:,:)
! Total cumulative slip at former time step
real(8), allocatable, public :: statev_totgammasum_t(:,:)
!
! Cumulative slip at current time step
real(8), allocatable, public :: statev_gammasum(:,:,:)
! Cumulative slip at former time step
real(8), allocatable, public :: statev_gammasum_t(:,:,:)
!
! Slip rates at current time step
real(8), allocatable, public :: statev_gammadot(:,:,:)
! Slip rates at former time step
real(8), allocatable, public :: statev_gammadot_t(:,:,:)
!
!
! Plastic part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fp(:,:,:,:)
! Plastic part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fp_t(:,:,:,:)
!
!
! Thermal part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fth(:,:,:,:)
! Thermal part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fth_t(:,:,:,:)
!
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_sigma(:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_sigma_t(:,:,:)
! Cauchy stress at previous time step
real(8), allocatable, public :: statev_sigma_t2(:,:,:)
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_jacobi(:,:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_jacobi_t(:,:,:,:)
!
!
! Critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauc(:,:,:)
! Critical resolved shear stress at former time step
real(8), allocatable, public :: statev_tauc_t(:,:,:)
!
! maximum of the tau/tauc ratio at current time step
real(8), allocatable, public :: statev_maxx(:,:)
! maximum of tau/tauc ratio at former time step
real(8), allocatable, public :: statev_maxx_t(:,:)
!
! elastic strains at the crystal ref. at current time step
real(8), allocatable, public :: statev_Eec(:,:,:)
! elastic strains at the crystal ref. at former time step
real(8), allocatable, public :: statev_Eec_t(:,:,:)
!
! Lattice curvature at current time step
real(8), allocatable, public :: statev_curvature(:,:,:)
!
! Incompatibility at current time step
real(8), allocatable, public :: statev_Lambda(:,:,:)
! Incompatibility at former time step
real(8), allocatable, public :: statev_Lambda_t(:,:,:)
!
! GND density per slip system at current time step
real(8), allocatable, public :: statev_gnd(:,:,:)
! GND density per slip system at former time step
real(8), allocatable, public :: statev_gnd_t(:,:,:)
! GND density per slip system initially - EBSD import
real(8), allocatable, public :: statev_gnd_0(:,:,:)
!
! SSD density per slip system at current time step
real(8), allocatable, public :: statev_ssd(:,:,:)
! SSD density per slip system at former time step
real(8), allocatable, public :: statev_ssd_t(:,:,:)
!
! Total SSD density at current time step
real(8), allocatable, public :: statev_ssdtot(:,:)
! Total SSD density at former time step
real(8), allocatable, public :: statev_ssdtot_t(:,:)
!
! Forest dislocation density per slip system at current time step
real(8), allocatable, public :: statev_forest(:,:,:)
! Forest dislocation density per slip system at former time step
real(8), allocatable, public :: statev_forest_t(:,:,:)
!
! Substructure dislocation density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_substructure(:,:)
! Substructure dislocation density for irradiation per slip system at former time step
real(8), allocatable, public :: statev_substructure_t(:,:)
!
! Solute strength for irradiation per slip system at current time step
real(8), allocatable, public :: statev_tausolute(:,:)
! Solute strength for irradiation per slip system at former time step
real(8), allocatable, public :: statev_tausolute_t(:,:)
!
!
! Defect loop density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_loop(:,:,:)
! Defect loop for irradiation per slip system at former time step
real(8), allocatable, public :: statev_loop_t(:,:,:)
!
! Backstress per slip system at current time step
real(8), allocatable, public :: statev_backstress(:,:,:)
! Backstress per slip system at former time step
real(8), allocatable, public :: statev_backstress_t(:,:,:)
!
! -------------------------------------------------------------------------------
!
!
!
! MESH INPUTS
! -------------------------------------------------------------------------------
!
! Total number of elements in the mesh
! Adaptive mesh cannot be used!
integer, public :: numel
!
! Element type
! Single element type is possible throughout the mesh
! Please do not leave any spaces between the characters
! Use the element types defined in ABAQUS element library
! Please see meshprop.f for the list of available element types
character(len=:), allocatable, public :: eltyp
!
!
! Number of integration points per element
integer, public :: numpt
!
! Number of nodes per element
integer, public :: nnpel
!
!
! Dimensions of the problem:
! Tensor dimensions in UMAT
integer, public :: numtens
!
! 2: 2D / 3: 3D
integer, public :: numdim
!
!
! -------------------------------------------------------------------------------
!
!
!
! -------------------------------------------------------------------------------
!
! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS
! -------------------------------------------------------------------------------
! These variables will be assigned at the initialization
! A single type of element is assumed throughout the mesh
!
! integration point domain (area/volume)
real(8), allocatable, public :: ipdomain(:,:)
!
! integration point weights
real(8), allocatable, public :: ipweights(:)
!
! Global integration point coordinates
real(8), allocatable, public :: ipcoords(:,:,:)
!
! Element specific shape functions and mappings
! Dependent on element type
!
! Gradient map for elements
real(8), allocatable, public :: gradip2ip(:,:,:,:)
!
! Interpolation matrix
real(8), allocatable, public :: Nmat(:,:)
!
! Inverse of interpolation matrix
real(8), allocatable, public :: invNmat(:,:)
!
! Shape function derivatives
real(8), allocatable, public :: dNmat(:,:,:)
!
! Shape function derivatives at element center
real(8), allocatable, public :: dNmatc(:,:)
!
! Element having a single IP
integer, public :: calculategradient
!
! -------------------------------------------------------------------------------
!
!
!
!
! CONSTANTS
! -------------------------------------------------------------------------------
!
! Number pi
real(8), parameter, public :: pi = 3.14159265359
!
! Taylor factor for a polycrytal aggregate
real(8), parameter, public :: TF = 3.1
!
! Universal gas contant [J/mol/K]
real(8), parameter, public :: Rgas = 8.31432
!
! Boltzman contant [m2 kg s-2 K-1 ]
real(8), parameter, public :: KB = 1.380649d-23
!
! Small real number
real(8), parameter, public :: smallnum = 1.0d-20
!
! Large real number
real(8), parameter, public :: largenum = 1.0d+50
! -------------------------------------------------------------------------------
!
!
!
!
! IDENTITY TENSORS
! -------------------------------------------------------------------------------
!
! Identity matrix (3x3)
real(8), public :: I3(3,3)
!
! Identity matrix (6x6)
real(8), public :: I6(6,6)
!
! Identity matrix (9x9)
real(8), public :: I9(9,9)
!
! Permutation symbol (3,3,3)
real(8), public :: eijk(3,3,3)
!
!
! SLIP DIRECTIONS
! -------------------------------------------------------------------------------
!
!
! Global variable for slip directions
! Slip direction can be different for each material
real(8), allocatable, public :: dirc_0_all(:,:,:)
!
! Global variable for slip plane normal
! Slip plane normal can be different for each material
real(8), allocatable, public :: norc_0_all(:,:,:)
!
! Global variable for transverse direction
! Transverse direction can be different for each material
real(8), allocatable, public :: trac_0_all(:,:,:)
!
! Global variable for line direction
! Line direction can be different for each material
real(8), allocatable, public :: linc_0_all(:,:,:)
!
! Global variable for initial Schmid tensor at the sample referencec
! Schmid tensor can be different for each material
real(8), allocatable, public :: Schmid_0_all(:,:,:,:)
!
! Global variable for forest projections
! Forest projection for GND and SSD
! Can be different for each material
real(8), allocatable, public :: forestproj_all(:,:,:)
!
! Global variable to map screw dislocations from the corespondent slip systems
! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system
! Therefore, need to account for only the defined set of screw systems
! Can be different for each material
real(8), allocatable, public :: slip2screw_all(:,:,:)
!
!
!
! BCC slip directions
real(8), public :: dir1(48,3)
! <111> {110} slip family
data dir1(1,:) /-1., 1., 1. /
data dir1(2,:) / 1., -1., 1. /
data dir1(3,:) / 1., 1., 1. /
data dir1(4,:) / 1., -1., 1. /
data dir1(5,:) / 1., 1., 1. /
data dir1(6,:) / 1., 1., -1. /
data dir1(7,:) / 1., 1., 1. /
data dir1(8,:) /-1., 1., 1. /
data dir1(9,:) / 1., -1., 1. /
data dir1(10,:) /1., 1., -1. /
data dir1(11,:) /-1., 1., 1. /
data dir1(12,:) / 1., 1., -1. /
! <111> {112} slip family
data dir1(13,:) / 1., 1., -1. /
data dir1(14,:) / 1., -1., 1. /
data dir1(15,:) /-1., 1., 1. /
data dir1(16,:) / 1., 1., 1. /
data dir1(17,:) / 1., -1., 1. /
data dir1(18,:) / 1., 1., -1. /
data dir1(19,:) / 1., 1., 1. /
data dir1(20,:) /-1., 1., 1. /
data dir1(21,:) /-1., 1., 1. /
data dir1(22,:) / 1., 1., 1. /
data dir1(23,:) / 1., 1., -1. /
data dir1(24,:) / 1., -1., 1. /
! <111> {123} slip family
data dir1(25,:) / 1., 1., -1. /
data dir1(26,:) / 1., -1., 1. /
data dir1(27,:) /-1., 1., 1. /
data dir1(28,:) / 1., 1., 1. /
data dir1(29,:) / 1., -1., 1. /
data dir1(30,:) / 1., 1., -1. /
data dir1(31,:) / 1., 1., 1. /
data dir1(32,:) /-1., 1., 1. /
data dir1(33,:) / 1., 1., -1. /
data dir1(34,:) / 1., -1., 1. /
data dir1(35,:) /-1., 1., 1. /
data dir1(36,:) / 1., 1., 1. /
data dir1(37,:) / 1., -1., 1. /
data dir1(38,:) / 1., 1., -1. /
data dir1(39,:) / 1., 1., 1. /
data dir1(40,:) /-1., 1., 1. /
data dir1(41,:) /-1., 1., 1. /
data dir1(42,:) / 1., 1., 1. /
data dir1(43,:) / 1., 1., -1. /
data dir1(44,:) / 1., -1., 1. /
data dir1(45,:) /-1., 1., 1. /
data dir1(46,:) / 1., 1., 1. /
data dir1(47,:) / 1., 1., -1. /
data dir1(48,:) / 1., -1., 1. /
!
!
! BCC slip plane normals
real(8), public :: nor1(48,3)
! <111> {110} slip family
data nor1(1,:) / 1., 1., 0. /
data nor1(2,:) / 1., 1., 0. /
data nor1(3,:) /-1., 0., 1. /
data nor1(4,:) /-1., 0., 1. /
data nor1(5,:) /-1., 1., 0. /
data nor1(6,:) /-1., 1., 0. /
data nor1(7,:) / 0., 1., -1. /
data nor1(8,:) / 0., 1., -1. /
data nor1(9,:) / 0., 1., 1. /
data nor1(10,:) / 0., 1., 1. /
data nor1(11,:) / 1., 0., 1. /
data nor1(12,:) / 1., 0., 1. /
! <111> {112} slip family
data nor1(13,:) / 1., 1., 2. /
data nor1(14,:) /-1., 1., 2. /
data nor1(15,:) / 1., -1., 2. /
data nor1(16,:) / 1., 1., -2. /
data nor1(17,:) / 1., 2., 1. /
data nor1(18,:) /-1., 2., 1. /
data nor1(19,:) / 1., -2., 1. /
data nor1(20,:) / 1., 2., -1. /
data nor1(21,:) / 2., 1., 1. /
data nor1(22,:) /-2., 1., 1. /
data nor1(23,:) / 2., -1., 1. /
data nor1(24,:) / 2., 1., -1. /
! <111> {123} slip family
data nor1(25,:) / 1., 2., 3. /
data nor1(26,:) / -1., 2., 3. /
data nor1(27,:) / 1., -2., 3. /
data nor1(28,:) / 1., 2., -3. /
data nor1(29,:) / 1., 3., 2. /
data nor1(30,:) / -1., 3., 2. /
data nor1(31,:) / 1., -3., 2. /
data nor1(32,:) / 1., 3., -2. /
data nor1(33,:) / 2., 1., 3. /
data nor1(34,:) / -2., 1., 3. /
data nor1(35,:) / 2., -1., 3. /
data nor1(36,:) / 2., 1., -3. /
data nor1(37,:) / 2., 3., 1. /
data nor1(38,:) / -2., 3., 1. /
data nor1(39,:) / 2., -3., 1. /
data nor1(40,:) / 2., 3., -1. /
data nor1(41,:) / 3., 1., 2. /
data nor1(42,:) / -3., 1., 2. /
data nor1(43,:) / 3., -1., 2. /
data nor1(44,:) / 3., 1., -2. /
data nor1(45,:) / 3., 2., 1. /
data nor1(46,:) / -3., 2., 1. /
data nor1(47,:) / 3., -2., 1. /
data nor1(48,:) / 3., 2., -1. /
!
!
!
! FCC slip directions
real(8), public :: dir2(18,3)
! <110> {111} slip family
data dir2(1,:) / 1., -1., 0. /
data dir2(2,:) / 0., 1., -1. /
data dir2(3,:) / 1., 0., -1. /
data dir2(4,:) / 1., 1., 0. /
data dir2(5,:) / 0., 1., -1. /
data dir2(6,:) / 1., 0., 1. /
data dir2(7,:) / 1., 1., 0. /
data dir2(8,:) / 0., 1., 1. /
data dir2(9,:) / 1., 0., -1. /
data dir2(10,:) / 1., -1., 0. /
data dir2(11,:) / 0., 1., 1. /
data dir2(12,:) / 1., 0., 1. /
! <110> {100} cubic slip family
data dir2(13,:) / 0., 1., 1. /
data dir2(14,:) / 0., 1., -1. /
data dir2(15,:) / 1., 0., 1. /
data dir2(16,:) / 1., 0., -1. /
data dir2(17,:) / 1., 1., 0. /
data dir2(18,:) / 1., -1., 0. /
!
!
! FCC slip plane normals
real(8), public :: nor2(18,3)
! <110> {111} slip family
data nor2(1,:) / 1., 1., 1. /
data nor2(2,:) / 1., 1., 1. /
data nor2(3,:) / 1., 1., 1. /
data nor2(4,:) /-1., 1., 1. /
data nor2(5,:) /-1., 1., 1. /
data nor2(6,:) /-1., 1., 1. /
data nor2(7,:) / 1., -1., 1. /
data nor2(8,:) / 1., -1., 1. /
data nor2(9,:) / 1., -1., 1. /
data nor2(10,:) / 1., 1., -1. /
data nor2(11,:) / 1., 1., -1. /
data nor2(12,:) / 1., 1., -1. /
! <110> {100} cubic slip family
data nor2(13,:) / 1., 0., 0. /
data nor2(14,:) / 1., 0., 0. /
data nor2(15,:) / 0., 1., 0. /
data nor2(16,:) / 0., 1., 0. /
data nor2(17,:) / 0., 0., 1. /
data nor2(18,:) / 0., 0., 1. /
!
!
! The directions are corrected by Alvaro 23.02.2023
! HCP slip directions
real(8), public :: dir3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data dir3h(1,:) / 2., -1., -1., 0./
data dir3h(2,:) /-1., 2., -1., 0./
data dir3h(3,:) /-1., -1., 2., 0./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data dir3h(4,:) / 2., -1., -1., 0./
data dir3h(5,:) /-1., 2., -1., 0./
data dir3h(6,:) /-1., -1., 2., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(7,:) /-1., 2., -1., 0./
data dir3h(8,:) /-2., 1., 1., 0./
data dir3h(9,:) /-1., -1., 2., 0./
data dir3h(10,:) / 1., -2., 1., 0./
data dir3h(11,:) / 2., -1., -1., 0./
data dir3h(12,:) / 1., 1., -2., 0./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(13,:) /-2., 1., 1., 3./
data dir3h(14,:) /-1., -1., 2., 3./
data dir3h(15,:) /-1., -1., 2., 3./
data dir3h(16,:) / 1., -2., 1., 3./
data dir3h(17,:) / 1., -2., 1., 3./
data dir3h(18,:) / 2., -1., -1., 3./
data dir3h(19,:) / 2., -1., -1., 3./
data dir3h(20,:) / 1., 1., -2., 3./
data dir3h(21,:) / 1., 1., -2., 3./
data dir3h(22,:) /-1., 2., -1., 3./
data dir3h(23,:) /-1., 2., -1., 3./
data dir3h(24,:) /-2., 1., 1., 3./
!
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data dir3h(25,:) /-1., -1., 2., 3./
data dir3h(26,:) / 1., -2., 1., 3./
data dir3h(27,:) / 2., -1., -1., 3./
data dir3h(28,:) / 1., 1., -2., 3./
data dir3h(29,:) /-1., 2., -1., 3./
data dir3h(30,:) /-2., 1., 1., 3./
!
!
! HCP slip plane normals
real(8), public :: nor3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data nor3h(1,:) /0., 0., 0., 1./
data nor3h(2,:) /0., 0., 0., 1./
data nor3h(3,:) /0., 0., 0., 1./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data nor3h(4,:) /0., 1., -1., 0./
data nor3h(5,:) /-1., 0., 1., 0./
data nor3h(6,:) /1., -1., 0., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(7,:) /1., 0., -1., 1./
data nor3h(8,:) /0., 1., -1., 1./
data nor3h(9,:) /-1., 1., 0., 1./
data nor3h(10,:) /-1., 0., 1., 1./
data nor3h(11,:) /0., -1., 1., 1./
data nor3h(12,:) /1., -1., 0., 1./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(13,:) /1., 0., -1., 1./
data nor3h(14,:) /1., 0., -1., 1./
data nor3h(15,:) /0., 1., -1., 1./
data nor3h(16,:) /0., 1., -1., 1./
data nor3h(17,:) /-1., 1., 0., 1./
data nor3h(18,:) /-1., 1., 0., 1./
data nor3h(19,:) /-1., 0., 1., 1./
data nor3h(20,:) /-1., 0., 1., 1./
data nor3h(21,:) /0., -1., 1., 1./
data nor3h(22,:) /0., -1., 1., 1./
data nor3h(23,:) /1., -1., 0., 1./
data nor3h(24,:) /1., -1., 0., 1./
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data nor3h(25,:) /1., 1., -2., 2./
data nor3h(26,:) /-1., 2., -1., 2./
data nor3h(27,:) /-2., 1., 1., 2./
data nor3h(28,:) /-1., -1., 2., 2./
data nor3h(29,:) /1., -2., 1., 2./
data nor3h(30,:) /2., -1., -1., 2./
!
!
! Slip direction for alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: dir4(8,3)
data dir4(1,:) /1.0, 0.0, 0.0/
data dir4(2,:) /1.0, 0.0, 0.0/
data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
! Slip plane normals of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: nor4(8,3)
data nor4(1,:) /0.0, 1.0, 0.0/
data nor4(2,:) /0.0, 0.0, 1.0/
data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
!
!
! -------------------------------------------------------------------------------
!
end module globalvariables
================================================
FILE: Example - Polycrytal with PROPS/hardening.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module hardening
implicit none
contains
! Since crss is computed considering the phase
! Hardening shall evolve the proper state variables
!
!
! ********************************************
! ** HARDENING updates the state variables **
! ** that determine mechanical hardening **
! ********************************************
subroutine hardeningrules(iphase,nslip,
+ temperature,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,tauc,ssd,
+ loop, rhofor, rhotot,
+ rhosub, tausolute,
+ dtauc,drhotot,drhofor,
+ drhosub, dssd, dloop)
use globalvariables, only : KB
use userinputs, only: maxnparam, maxnloop
implicit none
!
! INPUTS
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! current temperature
real(8),intent(in) :: temperature
!
! time increment
real(8),intent(in) :: dt
!
! shear modulus
real(8),intent(in) :: G12
!
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
!
!
! cumulative crystallographic slip at the current tiemstep
! needed for model with irradiation
real(8),intent(in) :: totgammasum
!
! plastic shear rate on slip systems
! and absolute value
real(8),intent(in) :: gammadot(nslip)
!
! Von-mises equivalent plastic strain rate
real(8),intent(in) :: pdot
!
! irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! hardening model
integer,intent(in) :: hardeningmodel
!
! hardening parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! Hardening interaction matrices
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
! crss
real(8),intent(in) :: tauc(nslip)
!
! ssd density
real(8),intent(in) :: ssd(nslip)
!
! loop density
real(8),intent(in) :: loop(maxnloop)
!
! forest density
real(8),intent(in) :: rhofor(nslip)
!
! total density
real(8),intent(in) :: rhotot(nslip)
!
! substructure density
real(8),intent(in) :: rhosub
!
!
!
! OUTPUTS
! increase in tauc due to solute force
real(8),intent(out) :: tausolute
!
! crss increment
real(8),intent(out) :: dtauc(nslip)
!
!
!
!
! total ssd density increment
real(8),intent(out) :: drhotot
!
! forest dislocation density increment
real(8),intent(out) :: drhofor(nslip)
!
! substructure dislocation density increment
real(8),intent(out) :: drhosub
!
! ssd density increment
real(8),intent(out) :: dssd(nslip)
!
! loop density increment
real(8),intent(out) :: dloop(maxnloop)
!
!
!
!
!
!
! Variables used within this subroutine
! absolute value of the plastic shear rate on slip systems
real(8), dimension(nslip) :: absgammadot
! Parameters for irradiation hardening
real(8) :: taus0, gammasat, gamma
! Parameters for irradiation model = 2
integer :: nloop
! Parameters for Voce typ hardening model
real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip)
! Parameter for linear hardening model
real(8) :: k
! Parameters for Kocks-Mecking hardening model
real(8) :: k1, b, X, g, D, pdot0, k2, KBT
! Parameters for hardening model - 5 (KM)
real(8) :: q1, q2, tot
! Additional parameters for substructure hardening
real(8) :: f
!
integer :: is, js, i, j
integer :: il
!
!
! Set outputs zero initially
dtauc = 0.
dssd = 0.
drhofor = 0.
drhosub = 0.
drhotot = 0.
tausolute = 0.
dloop = 0.
!
!
!
! absolute value of slip rates
absgammadot = dabs(gammadot)
!
!
!
! Irradiation hardening
! =========================================================================
!
!
! update solute force
if (irradiationmodel == 1) then
!
! Prefactor in irradiation hardening
taus0 = irradiationparam(1)
!
! Saturation strain
gammasat = irradiationparam(2)
!
! Solute strength
tausolute = taus0*dexp(-totgammasum/gammasat)
!
end if
!
!
!
! update loop density
if (irradiationmodel == 2) then
!
! Number of type of the loop defects
nloop = int(irradiationparam(1))
!
! Compute the evolution (annihiliation)
do il = 1, nloop
!
!
do is = 1, nslip
!
dloop(il) = dloop(il) - hintmat2(il,is) *
+ sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt
!
!
!
!
!
end do
!
!
end do
!
!
!
end if
!
!
!
! =========================================================================
!
!
!
! Other strainhardening models
! No hardening
if (hardeningmodel==0) then
!
! Do not harden!
!
!
elseif (hardeningmodel==1) then
!
! read in the parameters
h0 = hardeningparam(1)
ss = hardeningparam(2)
m = hardeningparam(3)
q = hardeningparam(4)
!
!
!
! Construct the latent hardening matrix
! Note that this is a matrix different than latent hardening
Hab = hintmat1
!
hb=0.
do is = 1,nslip
!
hb(is) = h0*(1.-tauc(is)/ss)**m*
+ absgammadot(is)*dt
!
!
!
!
!
end do
!
dtauc = matmul(Hab,hb)
!
!
! linear hardening model
elseif (hardeningmodel==2) then
!
! read in the parameters
k = hardeningparam(1)
!
!
! total density
drhotot = k*pdot*dt
!
! SSD evolution
do is = 1, nslip
!
dssd(is) = k*absgammadot(is)*dt
!
end do
!
!
!
! Kocks-Mecking hardening
elseif (hardeningmodel==3) then
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
!
!
KBT = KB*temperature
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
!
dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
!
end do
!
drhotot = sum(dssd)
!
! Kocks-Mecking hardening with substructure evolution
! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!
elseif (hardeningmodel==4) then
!
!
!
!
!
!
!
!
!
!
! for alpha-uranium material parameters are built in
if (iphase == 4) then
!
!
!
! forest dislocations evolution
! using constants from calibration of tensile bar 3
! using twin-slip interaction model
drhofor(1) = 43.2*max(dsqrt(rhofor(1))-
+ (0.17100+2.6093e-03*temperature)
+ *rhofor(1),0.0)*absgammadot(1)*dt
drhofor(2) = 6320.0*max(dsqrt(rhofor(2))-
+ (0.25650+5.8708e-04*temperature)
+ *rhofor(2),0.0)*absgammadot(2)*dt
drhofor(3) = 0.24*max(dsqrt(rhofor(3))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(3),0.0)*absgammadot(3)*dt
drhofor(4) = 0.24*max(dsqrt(rhofor(4))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(4),0.0)*absgammadot(4)*dt
drhofor(5) = 800.0*max(dsqrt(rhofor(5))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(5),0.0)*absgammadot(5)*dt
drhofor(6) = 800.0*max(dsqrt(rhofor(6))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(6),0.0)*absgammadot(6)*dt
drhofor(7) = 800.0*max(dsqrt(rhofor(7))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(7),0.0)*absgammadot(7)*dt
drhofor(8) = 800.0*max(dsqrt(rhofor(8))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(8),0.0)*absgammadot(8)*dt
!
! substructure dislocations evolution
drhosub = 0.216*(17.545+0.26771*temperature)*
+ rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt
!
! If any other material
else
!
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
q = hardeningparam(7)
f = hardeningparam(8)
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is))
+ *absgammadot(is)*dt
!
drhosub = drhosub + b*q*f*dsqrt(rhosub)*
+ k2*rhofor(is)*absgammadot(is)*dt
!
!
end do
!
!
!
!
!
end if
!
! UKAEA - model
! Vikram Phalke
! Kocks-Mecking hardening - based on total density
elseif (hardeningmodel==5) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
q1 = hardeningparam(3)
q2 = hardeningparam(4)
!
!
! interaction matrix
Hab = hintmat1
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
tot = 0.
do js=1,nslip
!
! total density (rhottot) is used to include GND effects
! instead of just SSD density
tot=tot + Hab(is,js)*rhotot(js)
!
end do
!
dssd(is) =
+ (k1/b*dsqrt(tot)-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
!
!
end if
!
return
!
end subroutine hardeningrules
!
!
!
!
!
end module hardening
================================================
FILE: Example - Polycrytal with PROPS/initializations.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This module includes initialization scripts
!
module initializations
implicit none
contains
!
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_once
use meshprop, only : feprop
use useroutputs, only: defineoutputs
implicit none
!
!
!
!
! 1. Enter mesh/element properties
! to get number of integration points for array allocation
call feprop
write(*,*) '1. Mesh initialization completed!'
!
! 2. Allocate arrays
call allocate_arrays
write(*,*) '2. Array allocation completed!'
!
! 3. Initialize identity matrices
call initialize_identity
write(*,*) '3. Identity tensors initialized!'
!
! 4. Define outputs
! Based on the flag: "readfromprops = 0 / 1"
! Will be either read from PROPS or from useroutputs.f
call defineoutputs
write(*,*) '4. Outputs are defined using useroutputs.f!'
!
!
! 5. Read the input files if needed
call readfiles
write(*,*) '5. The necessary files were read!'
!
!
return
end subroutine initialize_once
!
!
!
!
! Subroutine to initialize global flags
subroutine initialize_variables
use userinputs, only: maxnumel, maxnumpt
use globalvariables, only : time_old,
+ dt_t, calculategradient, numpt, numel,
+ ip_count, init_once, grad_init
!
! Use this instead of data statements
time_old=0.
dt_t=0.
!
calculategradient=1
grad_init=0
!
! Maximum number of elements and maximum number of integration points
! are defined in userinputs.f
allocate(ip_count(maxnumel,maxnumpt))
ip_count=-1
!
! Element number will be counted
numpt=0
numel=0
!
! flag for initialization once at the beginning
init_once=0
!
return
end subroutine initialize_variables
!
!
!
!
!
! Reading additional input files
subroutine readfiles
use userinputs, only:
+ voxfilename, foldername, readmaterialfile
use globalvariables, only: numel, Euler
integer :: iele
real(8) :: dummy(8)
!
!
! Read vox file if requested
if (readmaterialfile==1) then
! Open the file
open(200,file=foldername // '/' // voxfilename,action='read',
+ status='old')
!
!
! Number of lines is the same as the number of elements
do iele=1,numel
!
dummy=0.
read(100,*) dummy(1:8)
!
! Bunge angles in degrees
Euler(iele,1) = dummy(1)
Euler(iele,2) = dummy(2)
Euler(iele,3) = dummy(3)
!
!
!
end do
!
! End of reading vox file
close(200)
!
end if
!
! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!!
!
!
return
end subroutine readfiles
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_atfirstinc(noel,npt,coords,nprops,
+ props,temp,nstatv)
use userinputs, only: constanttemperature, temperature,
+ maxnslip, maxnparam, maxnmaterial, maxnloop,
+ backstressmodel, readmaterialfile
use globalvariables, only: Euler, materialid,
+ featureid, phaseid, ipcoords, numdim,
+ statev_gmatinv, statev_gmatinv_t, ip_init,
+ numslip_all, numscrew_all, phaseid_all,
+ statev_tauc, statev_tauc_t, statev_gmatinv_0,
+ dirc_0_all, norc_0_all,
+ trac_0_all, linc_0_all, Schmid_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ statev_ssd, statev_ssd_t,
+ statev_ssdtot, statev_ssdtot_t,
+ statev_forest, statev_forest_t,
+ statev_substructure, statev_substructure_t,
+ statev_tausolute, statev_tausolute_t,
+ statev_loop, statev_loop_t,
+ statev_tauceff,
+ statev_gnd_0,
+ caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, v12_all,
+ alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all
!
use irradiation, only: calculateintmats4irradmodel2
use usermaterials, only: materialparam
use utilities, only: rotord4sig
use crss, only: slipresistance, totalandforest
use useroutputs, only: checkoutputs,
+ statev_outputs, nstatv_outputs
use errors, only: error
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of properties
integer, intent(in) :: nprops
! Ip coordinates
real(8), intent(in) :: coords(3)
! State variables
real(8), intent(in) :: props(nprops)
! Abaqus temperature
real(8), intent(in) :: temp
! Number of state variables
integer, intent(in) :: nstatv
!
! Internal variables
! Flag for reading from PROPS vector
integer readfromprops
! Crystal to sample transformation matrix
real(8) :: gmatinv(3,3)
! Phase id
integer :: phaid
! Number of slip systems
integer :: nslip
! Number of screw systems
integer :: nscrew
! Material id
integer :: matid
! Slip model
integer :: slipmodel
! Slip parameters
real(8) :: slipparam(maxnparam)
! Creep model
integer :: creepmodel
! Creep parameters
real(8) :: creepparam(maxnparam)
! Hardening model
integer :: hardeningmodel
! Hardening parameters
real(8) :: hardeningparam(maxnparam)
! Irradiation model
integer :: irradiationmodel
! Irradiation parameters
real(8) :: irradiationparam(maxnparam)
! Backstress parameters
real(8) :: backstressparam(maxnparam)
! Cubic slip for fcc nickel superalloys only
integer :: cubicslip
! Material temperature
real(8) :: mattemp
! c/a ratio for hexagonal materials
real(8) :: caratio
! Crystal elasticity matrix
real(8) :: Cc(6,6)
! Geometric factor
real(8) :: gf
! Shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! Thermal expansion coefficient matrix in crystal lattice
real(8) :: alphamat(3,3)
! Burgers vector
real(8) :: burgerv(maxnslip)
! Screw systems
integer :: screw(maxnslip)
! Initial critical resolved shear stress
real(8) :: tauc_0(maxnslip)
! Initial dislocation density (SSD)
real(8) :: rho_0(maxnslip)
! Sum of the initial density (SSD)
real(8) :: rhosum_0
! Initial forest density (hardening model-4)
real(8) :: forest_0, for_0(maxnslip)
! Initial substructure density (hardening model-4)
real(8) :: substructure_0
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(maxnslip,maxnslip)
! Allocatable arrays
! Slip direction
real(8) :: dirc(maxnslip,3)
! Slip plane normal
real(8) :: norc(maxnslip,3)
! Transverse direction
real(8) :: trac(maxnslip,3)
! Slip line direction
real(8) :: linc(maxnslip*2,3)
! Forest projection operator
real(8) :: forestproj(maxnslip,maxnslip*2)
! Slip to screw system mapping
real(8) :: slip2screw(maxnslip,maxnslip)
! initial Schmid tensor
real(8) :: Schmid_0(maxnslip,3,3)
! initial loop density
real(8) :: loop_0(maxnloop)
! initial solute strength
real(8) :: tausolute_0
! initial GND density
real(8) :: gnd_0(2*maxnslip)
! overall forest density
real(8) :: rhofor_0(maxnslip)
! overall total density
real(8) :: rhotot_0(maxnslip)
! overall cumulative density - scalar
real(8) :: sumrhotot_0
! Effective CRSS
real(8) :: tauceff_0(maxnslip)
! Variables used in the calculations here within this subroutine
! Elasiticity
real(8) :: C11, C12, C44, C13, C33
real(8) :: C23, C22, C55, C66
! Thermal expansion
real(8) :: alpha1, alpha2, alpha3
!
! Dummy variables
integer :: i, j, k, ind, is, nloop, dum
integer :: i0, i1, i2
real(8) :: dir(3), nor(3)
!
!
! Reset arrays
burgerv=0.; tauc_0=0.;
rho_0=0.; forest_0=0.;
substructure_0=0.; for_0=0.
sintmat1=0.; sintmat2=0.
hintmat1=0.; hintmat2=0.
dirc=0.; norc=0.; trac=0.; linc=0.
Schmid_0=0.
forestproj=0.; slip2screw=0.; screw=0
slipparam=0.;creepparam=0.
hardeningparam=0.; irradiationparam=0.
backstressparam = 0.
!
loop_0=0.; tausolute_0=0.
rhofor_0=0.; rhotot_0=0.
sumrhotot_0=0.; gnd_0=0.
tauceff_0=0.
!
!
!
! Calculation for only once (require NSTATV)
! This is done here because NSTATV is available in UMAT
! Can't be done at UEXTERNALDB(LOP=0)
if (ip_init(1,1) == 0) then
!
! Check the number state variables defined in DEPVAR
! matches the outputs defined by the user (in useroutputs.f or in PROPS)
call checkoutputs(nstatv)
!
end if
!
!
!
!
!
! Initialization flag
ip_init(noel,npt) = 1
!
! Read integration point coordinates
! Assign and store at a global variable
ipcoords(noel,npt,1:numdim) = coords(1:numdim)
!
! Read from PROPS
readfromprops = int(props(6))
!
! Material id
matid = int(props(5))
!
! Save material id
materialid(noel,npt)=matid
!
! Save grain id
featureid(noel,npt) = int(props(4))
!
! Euler angles are read from PROPS
! IF the variable in userinputs.f was set as: "readmaterialfile=0"
! No entry from material file was selected
if (readmaterialfile==0) then
!
! Initialize the ginv from Euler angles
! phi1: 1st on the property list
Euler(noel,1)=props(1)
! Phi: 2nd on the property list
Euler(noel,2)=props(2)
! phi2: 3rd on the property list
Euler(noel,3)=props(3)
!
end if
!
!
!
!
! write(*,*) 'noel', noel
! write(*,*) 'npt', npt
! write(*,*) 'matid', matid
! write(*,*) 'Euler', Euler
!
!
!
!
!
!
! Calculate inverse of the orientation matrix
call initialize_orientations(Euler(noel,1:3),gmatinv)
!
! Assign the initial orientations
statev_gmatinv(noel,npt,:,:)=gmatinv
statev_gmatinv_t(noel,npt,:,:)=gmatinv
statev_gmatinv_0(noel,npt,:,:)=gmatinv
!
!
!
!
!
! Decision on using ABAQUS temperature
if (constanttemperature.eq.1) then
!
!
! Assign
mattemp = temperature
!
else if (constanttemperature.eq.0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
else
! Temperature flag is not assined correctly
call error(5)
!
endif
!
!
! If the properties are defined at "usermaterials.f"
if (readfromprops==0) then
!
! Enter materials subroutine once for every ip to get number of slip systems
call materialparam(matid,mattemp,
+ phaid,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,forest_0,substructure_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
!
! If material properies are defined in PROPS vector
elseif (readfromprops==1) then
!
! Phase id indicates crystal structure
phaid = int(props(7))
!
! Number of slip systems
nslip = int(props(8))
!
! Number of screw systems
nscrew = int(props(9))
!
! cubic slip flag
cubicslip = int(props(10))
!
! geometric factor
gf = props(11)
!
! Elastic constants
C11 = props(12)
C12 = props(13)
C44 = props(14)
!
! Shear modulus
G12 = C44
!
!
! Poisson's ratio
v12 = C12/(C11+C12)
!
! If cubic material - 3 constants
if (phaid<3) then
!
! Elasticity matrix of a cubic material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C12 /)
Cc(2,1:3) = (/ C12, C11, C12 /)
Cc(3,1:3) = (/ C12, C12, C11 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = C44
!
!
! If hexagonal material - 5 constants
elseif (phaid==3) then
!
! Read the remaning parameters
C13 = props(15)
C33 = props(16)
!
! Elasticity matrix of a hexagonal material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C11, C13 /)
Cc(3,1:3) = (/ C13, C13, C33 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = 0.5*(C11-C12)
!
! If tetragonal material - 9 constants
elseif (phaid==4) then
!
! Read the remaning parameters
C23 = props(17)
C22 = props(18)
C55 = props(19)
C66 = props(20)
!
! Elasticity matrix of a ot material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C22, C23 /)
Cc(3,1:3) = (/ C13, C23, C33 /)
Cc(4,4) = C44
Cc(5,5) = C55
Cc(6,6) = C66
!
!
!
endif
!
! c/a ratio
caratio = int(props(21))
!
!
! Thermal expansion coefficients
alpha1 = props(22)
alpha2 = props(23)
alpha3 = props(24)
alphamat = 0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
! Starting index for props
i0 = 25
!
!
! Slip model
slipmodel = int(props(i0))
!
! Slip model parameters
do i = 1, maxnparam
!
ind = i + i0
!
slipparam(i) = props(ind)
!
end do
!
! Creep model
creepmodel = int(props(i0+maxnparam+1))
!
! Creep model parameters
do i = 1, maxnparam
!
ind = i + i0 + maxnparam+1
!
creepparam(i) = props(ind)
!
!
end do
!
!
! Hardening model
hardeningmodel = int(props(i0+2*(maxnparam+1)))
!
! Hardening model parameters
do i = 1, maxnparam
!
ind = i + i0+2*(maxnparam+1)
!
hardeningparam(i) = props(ind)
!
end do
!
!
! They are undefined for now - set to identity
! Interaction matrices
! Initially set all to identity
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
! Define hardening matrix here based on the model!
! Hardening model-1
if (hardeningmodel==1) then
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
end if
!
!
! Irradiation model
irradiationmodel = int(props(i0+3*(maxnparam+1)))
!
!
! Irradiation model parameters
do i = 1, maxnparam
!
ind = i + i0+3*(maxnparam+1)
!
irradiationparam(i) = props(ind)
!
end do
!
!
! Backstress parameters
if (backstressmodel==1) then
!
backstressparam(1) = props(ind+1)
backstressparam(2) = props(ind+2)
!
end if
!
!
!
!
!
!
! Overwrite user-defined outputs in useroutputs.f
! Reset number of state variables
nstatv_outputs = 0
! Reset the flags for outputs
statev_outputs = 0
!
! Reset starting index
i1 = i0 + 5*maxnparam + 3
do i = 1, 30
!
ind = i + i1
!
dum = int(PROPS(ind))
!
statev_outputs(i) = dum
!
! Count the total number of outputs
if (dum ==1) then
nstatv_outputs = nstatv_outputs + 1
end if
!
end do
!
!
!
! Assign slip system quantities
! Reset starting index
i2 = i1 + 30
!
! Initial dislocation density
rho_0=0.
do is = 1, maxnslip
!
ind = is + i2
!
rho_0(is) = props(ind)
!
end do
!
!
! Burgers vector
burgerv=0.
do is = 1, maxnslip
!
ind = is + i2 + 48
!
burgerv(is) = props(ind)
!
end do
!
!
! Initial critical resolved shear strength
tauc_0=0.
do is = 1, maxnslip
!
ind = is + i2 + 96
!
tauc_0(is) = props(ind)
!
end do
!
! Initial forest dislocation density (hardening model-4)
forest_0 = props(273)
!
! Initial substructure dislocation density (hardening model-4)
substructure_0 = props(274)
!
!
! PROPS(275-300) are intentionally left empty!
!
!
endif
!
!
!
! Initialize phase-id of the material
phaseid_all(matid)=phaid
!
!
! Initialize number of slip systems
numslip_all(matid)=nslip
!
! Initialize number of screw systems
! Required for GND calculations
numscrew_all(matid)=nscrew
!
!
! Initialize crss
statev_tauc(noel,npt,1:maxnslip)=tauc_0
statev_tauc_t(noel,npt,1:maxnslip)=tauc_0
!
! Initialize ssd density per slip system
statev_ssd(noel,npt,1:maxnslip)=rho_0
statev_ssd_t(noel,npt,1:maxnslip)=rho_0
!
! Initialize total ssd density
rhosum_0=sum(rho_0(1:nslip))
statev_ssdtot(noel,npt)=rhosum_0
statev_ssdtot_t(noel,npt)=rhosum_0
! Initialize forest density per slip system
for_0(1:nslip)=forest_0
statev_forest(noel,npt,1:maxnslip)=for_0
statev_forest_t(noel,npt,1:maxnslip)=for_0
!
! Initialize total ssd density
statev_substructure(noel,npt)=substructure_0
statev_substructure_t(noel,npt)=substructure_0
!
!
!
!
! Initialize irradiation parameters
if (irradiationmodel==1) then
! Initialize solute strength
tausolute_0=irradiationparam(1)
statev_tausolute(noel,npt)=tausolute_0
statev_tausolute_t(noel,npt)=tausolute_0
!
!
elseif (irradiationmodel==2) then
! Initialize defect loop density
nloop=int(irradiationparam(1))
do i = 1, nloop
loop_0(i)=irradiationparam(1+i)*
+ irradiationparam(1+nloop+i)
statev_loop(noel,npt,i)=loop_0(i)
statev_loop_t(noel,npt,i)=loop_0(i)
end do
!
end if
!
!
! Initialize caratio
caratio_all(matid)=caratio
!
!
! Initialize cubicslip
cubicslip_all(matid)=cubicslip
!
! Initialize elasticity in crystal frame
Cc_all(matid,1:6,1:6)=Cc
!
! Initialize geometric factor
gf_all(matid)=gf
!
! Initialize shear modulus
G12_all(matid)=G12
! Initialize Poisson's ratio
v12_all(matid)=v12
!
! Initialize thermal expansion matrix
alphamat_all(matid,1:3,1:3)=alphamat
!
! Initialize burgers vector
burgerv_all(matid,1:maxnslip)=burgerv
!
!
!
! assign the global variables
!
! slip model
slipmodel_all(matid)=slipmodel
! slip parameters
slipparam_all(matid,:)=slipparam
! creep model
creepmodel_all(matid)=creepmodel
! creep parameters
creepparam_all(matid,:)=creepparam
! hardening model
hardeningmodel_all(matid)=hardeningmodel
! hardening parameters
hardeningparam_all(matid,:)=hardeningparam
! irradiation model
irradiationmodel_all(matid)=irradiationmodel
! irradiation parameters
irradiationparam_all(matid,:)=irradiationparam
!
!
! backstress parameters
backstressparam_all(matid,:)=backstressparam
!
! Initialize initial (undeformed) slip vectors
! This is needed once per element since the material is different
call initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3),
+ trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3),
+ forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip))
!
!
! Irradiation strength and hardening matrices are a function of slip vectors
! Therefore, the interaction matrices need to be computed here,
! after the calculation of slip vectors
if (irradiationmodel==2) then
call calculateintmats4irradmodel2(nslip,dirc,norc,
+ irradiationparam,sintmat2,hintmat2)
end if
!
!
! assign the interaction matrices
! Strength interaction between dislocations
sintmat1_all(matid,:,:) = sintmat1
! Strength interaction dislocation loops related with irradiation
sintmat2_all(matid,:,:) = sintmat2
! Latent hardening
hintmat1_all(matid,:,:) = hintmat1
! Hardening interaction matrix between dislocations
hintmat2_all(matid,:,:) = hintmat2
!
!
!
!
!
!
! assign undeformed slip directions
dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3)
norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3)
trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3)
linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3)
!
! Forest projection operator
forestproj_all(matid,1:nslip,1:nslip+nscrew) =
+ forestproj(1:nslip,1:nslip+nscrew)
!
!
! Slip to screw mapping
slip2screw_all(matid,1:nscrew,1:nslip) =
+ slip2screw(1:nscrew,1:nslip)
!
!
! Screw systems
screw_all(matid,1:nscrew)=screw(1:nscrew)
!
! Initialize Schmid tensor (needed for the calculation of Lp)
Schmid_0=0.
do is=1,nslip
!
! Slip direction in the sample reference
dir = matmul(gmatinv,dirc(is,:))
! Slip plane normal in the sample reference
nor = matmul(gmatinv,norc(is,:))
!
do i=1,3
do j=1,3
Schmid_0(is,i,j) = dir(i)*nor(j)
enddo
enddo
end do
!
! Assign undeformed Schmid tensor
Schmid_0_all(matid,1:nslip,:,:) = Schmid_0(1:nslip,:,:)
!
!
! Initial GND density (may or may not be present!)
gnd_0=statev_gnd_0(noel,npt,:)
!
! Calculate initial total and forest density
call totalandforest(
+ phaid, nscrew, nslip,
+ gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0,
+ for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip),
+ rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip))
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv(1:nslip), sintmat1(1:nslip,1:nslip),
+ sintmat2(1:nslip,1:nslip), tauc_0(1:nslip),
+ rhotot_0, sumrhotot_0, rhofor_0(1:nslip),
+ substructure_0, tausolute_0, loop_0(1:maxnloop),
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff_0(1:nslip))
!
!
statev_tauceff(noel,npt,1:maxnslip)=tauceff_0
!
!
return
end subroutine initialize_atfirstinc
!
!
!
! Arrays allocated
subroutine allocate_arrays
use globalvariables, only : numel, numpt, numdim,
+ Euler, materialid, featureid, phaseid,
+ phaseid_all, numslip_all, numscrew_all,
+ dirc_0_all, norc_0_all, trac_0_all, linc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ ip_init, gradip2ip, ipcoords, ipdomain,
+ statev_sigma_t2, statev_gmatinv, statev_gmatinv_t,
+ statev_gmatinv_0, statev_gammasum, statev_gammasum_t,
+ statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t,
+ statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t,
+ statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t,
+ statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t,
+ statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t,
+ statev_forest, statev_forest_t, statev_substructure,
+ statev_substructure_t, statev_tausolute, statev_tausolute_t,
+ statev_totgammasum, statev_totgammasum_t,
+ statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t,
+ statev_Lambda, statev_Lambda_t, statev_curvature,
+ statev_loop, statev_loop_t, statev_gnd_0,
+ caratio_all, cubicslip_all, Cc_all, gf_all,
+ G12_all, v12_all, alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all, Schmid_0_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all, statev_backstress_t,
+ statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff
!
use userinputs, only : maxnslip, maxnparam,
+ maxnmaterial, maxnloop
implicit none
integer i, j, k
!
!
! Can be different for each element
allocate(Euler(numel,3))
Euler=0.
!
! For multiple grains
allocate(featureid(numel,numpt))
featureid=0
!
! For multi materials
allocate(materialid(numel,numpt))
materialid=0
!
! For multi phases
allocate(phaseid(numel,numpt))
phaseid=0
!
! Initial crystal to sample transformation
!
! For multi material case with varying number of slip systems
allocate(numslip_all(maxnmaterial))
numslip_all=0
!
! For multi material case with varying number of screw systems
allocate(numscrew_all(maxnmaterial))
numscrew_all=0
!
! Screw systems
allocate(screw_all(maxnmaterial,maxnslip))
screw_all=0
!
!
! For multi material case with varying number of slip systems
allocate(phaseid_all(maxnmaterial))
phaseid_all=0
phaseid_all=0
!
! Allocate slip systems
allocate(dirc_0_all(maxnmaterial,maxnslip,3))
dirc_0_all=0.
allocate(norc_0_all(maxnmaterial,maxnslip,3))
norc_0_all=0.
allocate(trac_0_all(maxnmaterial,maxnslip,3))
trac_0_all=0.
allocate(linc_0_all(maxnmaterial,2*maxnslip,3))
linc_0_all=0.
! Allocate initial Schmid tensor
allocate(Schmid_0_all(maxnmaterial,maxnslip,3,3))
Schmid_0_all=0.
!
! Forest projections for GND
allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2))
forestproj_all=0.
!
! Mapping for dislocations at slip sytems to screw systems for GND
allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip))
slip2screw_all=0.
!
! IP domain size (area/volume)
allocate(ipdomain(numel,numpt))
ipdomain=0.
!
!
! These are needed for GND calculations
allocate(ipcoords(numel,numpt,numdim))
ipcoords=0.
allocate(ip_init(numel,numpt))
ip_init=0 ! very important to set to zero initially
!
! Allocate arrays related with shape functions
! Note the gradient is 3-dimensional ("numdim" is not used!)
allocate(gradip2ip(numel,numpt+1,3,numpt))
gradip2ip=0.
!
!
! Allocate state variables
allocate(statev_gmatinv(numel,numpt,3,3))
statev_gmatinv=0.
allocate(statev_gmatinv_t(numel,numpt,3,3))
statev_gmatinv_t=0.
allocate(statev_gmatinv_0(numel,numpt,3,3))
statev_gmatinv_0=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_gmatinv(i,j,k,k)=1.
statev_gmatinv_t(i,j,k,k)=1.
statev_gmatinv_0(i,j,k,k)=1.
end do
end do
end do
!
allocate(statev_gammasum(numel,numpt,maxnslip))
statev_gammasum=0.
allocate(statev_gammasum_t(numel,numpt,maxnslip))
statev_gammasum_t=0.
allocate(statev_gammadot(numel,numpt,maxnslip))
statev_gammadot=0.
allocate(statev_gammadot_t(numel,numpt,maxnslip))
statev_gammadot_t=0.
allocate(statev_Fp(numel,numpt,3,3))
statev_Fp=0.
allocate(statev_Fp_t(numel,numpt,3,3))
statev_Fp_t=0.
allocate(statev_Fth(numel,numpt,3,3))
statev_Fth=0.
allocate(statev_Fth_t(numel,numpt,3,3))
statev_Fth_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_Fp(i,j,k,k)=1.
statev_Fp_t(i,j,k,k)=1.
statev_Fth(i,j,k,k)=1.
statev_Fth_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_sigma(numel,numpt,6))
statev_sigma=0.
allocate(statev_sigma_t(numel,numpt,6))
statev_sigma_t=0.
allocate(statev_sigma_t2(numel,numpt,6))
statev_sigma_t2=0.
allocate(statev_jacobi(numel,numpt,6,6))
statev_jacobi=0.
allocate(statev_jacobi_t(numel,numpt,6,6))
statev_jacobi_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,6
statev_jacobi(i,j,k,k)=1.
statev_jacobi_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_tauc(numel,numpt,maxnslip))
statev_tauc=0.
allocate(statev_tauc_t(numel,numpt,maxnslip))
statev_tauc_t=0.
!
allocate(statev_tauceff(numel,numpt,maxnslip))
statev_tauceff=0.
!
allocate(statev_maxx(numel,numpt))
statev_maxx=0.
allocate(statev_maxx_t(numel,numpt))
statev_maxx_t=0.
allocate(statev_Eec(numel,numpt,6))
statev_Eec=0.
allocate(statev_Eec_t(numel,numpt,6))
statev_Eec_t=0.
!
! Incompatibility
allocate(statev_Lambda(numel,numpt,9))
statev_Lambda = 0.
allocate(statev_Lambda_t(numel,numpt,9))
statev_Lambda_t = 0.
! Lattice curvature
allocate(statev_curvature(numel,numpt,9))
statev_curvature = 0.
!
! Allocated as twice the maxslip to leave space for screws
allocate(statev_gnd(numel,numpt,2*maxnslip))
statev_gnd=0.
allocate(statev_gnd_t(numel,numpt,2*maxnslip))
statev_gnd_t=0.
allocate(statev_gnd_0(numel,numpt,2*maxnslip))
statev_gnd_0=0.
allocate(statev_ssd(numel,numpt,maxnslip))
statev_ssd=0.
allocate(statev_ssd_t(numel,numpt,maxnslip))
statev_ssd_t=0.
allocate(statev_ssdtot(numel,numpt))
statev_ssdtot=0.
allocate(statev_ssdtot_t(numel,numpt))
statev_ssdtot_t=0.
allocate(statev_forest(numel,numpt,maxnslip))
statev_forest=0.
allocate(statev_forest_t(numel,numpt,maxnslip))
statev_forest_t=0.
allocate(statev_substructure(numel,numpt))
statev_substructure=0.
allocate(statev_substructure_t(numel,numpt))
statev_substructure_t=0.
allocate(statev_tausolute(numel,numpt))
statev_tausolute=0.
allocate(statev_tausolute_t(numel,numpt))
statev_tausolute_t=0.
allocate(statev_totgammasum(numel,numpt))
statev_totgammasum=0.
allocate(statev_totgammasum_t(numel,numpt))
statev_totgammasum_t=0.
allocate(statev_evmp(numel,numpt))
statev_evmp=0.
allocate(statev_evmp_t(numel,numpt))
statev_evmp_t=0.
!
allocate(statev_plasdiss(numel,numpt))
statev_plasdiss=0.
allocate(statev_plasdiss_t(numel,numpt))
statev_plasdiss_t=0.
!
! allocate as sparse array
allocate(statev_loop(numel,numpt,maxnloop))
statev_loop=0.
allocate(statev_loop_t(numel,numpt,maxnloop))
statev_loop_t=0.
!
allocate(statev_backstress(numel,numpt,maxnslip))
statev_backstress=0.
allocate(statev_backstress_t(numel,numpt,maxnslip))
statev_backstress_t=0.
!
! Material parameters
allocate(caratio_all(maxnmaterial))
caratio_all=0.
allocate(cubicslip_all(maxnmaterial))
cubicslip_all=0
allocate(Cc_all(maxnmaterial,6,6))
Cc_all=0.
allocate(gf_all(maxnmaterial))
gf_all=0.
allocate(G12_all(maxnmaterial))
G12_all=0.
allocate(v12_all(maxnmaterial))
v12_all=0.
allocate(alphamat_all(maxnmaterial,3,3))
alphamat_all=0.
allocate(burgerv_all(maxnmaterial,maxnslip))
burgerv_all=0.
!
!
! Material model parameters
allocate(slipmodel_all(maxnmaterial))
slipmodel_all=0
allocate(slipparam_all(maxnmaterial,maxnparam))
slipparam_all=0.
allocate(creepmodel_all(maxnmaterial))
creepmodel_all=0
allocate(creepparam_all(maxnmaterial,maxnparam))
creepparam_all=0.
allocate(hardeningmodel_all(maxnmaterial))
hardeningmodel_all=0
allocate(hardeningparam_all(maxnmaterial,maxnparam))
hardeningparam_all=0.
allocate(irradiationmodel_all(maxnmaterial))
irradiationmodel_all=0
allocate(irradiationparam_all(maxnmaterial,maxnparam))
irradiationparam_all=0.
!
allocate(backstressparam_all(maxnmaterial,maxnparam))
backstressparam_all=0.
!
! Interaction matrices
allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip))
sintmat1_all=0.
allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip))
sintmat2_all=0.
allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip))
hintmat1_all=0.
allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip))
hintmat2_all=0.
!
!
!
return
end subroutine allocate_arrays
!
!
!
!
!
!
!
!
!
!
!
!
! This subroutine assigns identity tensors
! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3)
subroutine initialize_identity
use globalvariables, only : I3, I6, I9, eijk
implicit none
integer :: i, j, k, l
!
I3=0.
I6=0.
I9=0.
!
! Identity matrix (3x3)
do i=1,3
I3(i,i)=1.
enddo
!
!
! Identity matrix (6x6)
do i=1,6
I6(i,i)=1.
enddo
!
! Identity matrix (9x9)
do i=1,9
I9(i,i)=1.
enddo
!
!
! Permutation symbol (3x3x3)
eijk=0.
eijk(1,2,3)=1.
eijk(2,3,1)=1.
eijk(3,1,2)=1.
eijk(3,2,1)=-1.
eijk(2,1,3)=-1.
eijk(1,3,2)=-1.
!
return
end subroutine initialize_identity
!
!
! This subroutine assigns orientations
subroutine initialize_orientations(Euler,gmatinv)
use utilities, only: Euler2ori
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: gmatinv(3,3)
real(8) :: g(3,3)
!
!
! Sample to crystal transformation
call Euler2ori(Euler,g)
!
!
! Crystal to sample tranformation
gmatinv = transpose(g)
!
!
return
end subroutine initialize_orientations
!
!
! All slip systems of different phases are initialized
! 1: BCC
! 2: FCC
! 3: HCP
! 4: alpha-uranium
! Forest projections are initialized here!
! The number of slip systems will be identified in materials card
! Slip directions
subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw,dirc,norc,trac,linc,forestproj,slip2screw)
use userinputs, only : maxnslip
use globalvariables, only : dir1, nor1, dir2, nor2,
+ dir3h, nor3h, dir4, nor4
use utilities, only: vecprod
use errors, only: error
implicit none
! Inputs
integer, intent(in) :: phaid, nslip, nscrew
real(8), intent(in) :: caratio
! Outputs
real(8), dimension(nslip,3), intent(out) :: dirc
real(8), dimension(nslip,3), intent(out) :: norc
real(8), dimension(nslip,3), intent(out) :: trac
real(8), dimension(nslip+nscrew,3), intent(out) :: linc
real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj
real(8), dimension(nscrew,nslip), intent(out) :: slip2screw
integer, dimension(nscrew), intent(out) :: screw
!
! Local variables used within this subroutine
real(8) :: dir(48,3), nor(48,3)
real(8) :: sdir(nslip+nscrew,3)
real(8) :: res
integer :: is, i, j
!
! caratio (c/a) ratio is only used for HCP materials
! So, caratio can take any value for other phases than HCP
!
! Reset arrays
dirc=0.; norc=0.
dir=0.; nor=0.
!
! BCC phase
if (phaid == 1) then
!
!
!
! Normalize slip directions and normals
do is=1, 48
dir(is,:) = dir1(is,:)/norm2(dir1(is,:))
!
nor(is,:) = nor1(is,:)/norm2(nor1(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
! FCC phase
elseif (phaid == 2) then
!
!
!
!
! Normalize slip directions and normals
do is=1,18
dir(is,:) = dir2(is,:)/norm2(dir2(is,:))
!
nor(is,:) = nor2(is,:)/norm2(nor2(is,:))
end do
!
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
!
!
!
! HCP phase
elseif (phaid == 3) then
!
! slip direction conversion
! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)])
do is=1,30
dir(is,1) = 3.*dir3h(is,1)/2.
dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2.
dir(is,3) = dir3h(is,4)*caratio
end do
!
!
! slip plane conversion
! (hkil)->(h (h+2k)/sqrt(3) l/(c/a))
do is=1,30
nor(is,1) = nor3h(is,1)
nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.)
nor(is,3) = nor3h(is,4)/caratio
end do
!
! Normalize slip directions and normals
do is=1,30
dir(is,:) = dir(is,:)/norm2(dir(is,:))
!
nor(is,:) = nor(is,:)/norm2(nor(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
! alpha-Uranium
elseif (phaid == 4) then
!
! Normalize slip directions and normals
do is=1,8
dir(is,:) = dir4(is,:)/norm2(dir4(is,:))
!
nor(is,:) = nor4(is,:)/norm2(nor4(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
else
!
! Error message needed!
! Phase number is not within the available options
call error(4)
!
!
!
end if
!
!
! Transverse directions
trac = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3))
!
end do
!
!
!
! Dislocation line directions:
!
! If screw systems are defined
if (nscrew>0) then
!
!
! Build up the screw slip systems
select case(phaid)
!
!
!
! BCC
case(1)
!
! a/2<111>
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 6
!
!
! FCC
case(2)
!
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 4
screw(5) = 6
screw(6) = 8
!
!
!
! HCP
case(3)
!
! slip
screw(1) = 1
screw(2) = 2
screw(3) = 3
!
screw(4) = 7
screw(5) = 8
screw(6) = 9
screw(7) = 10
screw(8) = 11
screw(9) = 12
!
!
!
!
end select
!
end if
!
!
!
! slip2screw mapping
slip2screw = 0.
! Loop through the defined screw systems for equivalency
do i = 1, nscrew
!
! Screw system corresponding slip system
is = screw(i)
!
! Set the mapping to 1/2
slip2screw(i,is) = 0.5
!
! Loop through all possible slip sytems
do j = 1, nslip
!
! Caclulate the difference in Burgers vector
res = dot_product(dirc(is,1:3),dirc(j,1:3))
!
! If all the components of the vector is the same
if (abs(res)>0.99) then
!
! Assign the component of mapping as 1/2
slip2screw(i,j) = 0.5
!
!
end if
!
! Loop for slip sytems
end do
!
!
! Loop for screw systems
end do
!
!
!
!
!
!
! Calculate line directions for edge dislocations
linc = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3))
!
end do
!
! Calculate line directions for screw dislocations
! If screw dislocations exist
if (nscrew>0) then
!
do i = 1, nscrew
!
linc(nslip+i,1:3) = dirc(screw(i),1:3)
!
end do
!
end if
!
!
! Compute forest projection operator for GNDs
forestproj = 0.
do i = 1, nslip
!
do j = 1, nslip+nscrew
!
forestproj(i,j) =
+ abs(dot_product(norc(i,1:3),linc(j,1:3)))
!
enddo
!
enddo
!
!
!
!
!
!
!
!
return
end subroutine initialize_slipvectors
!
!
!
!
end module initializations
================================================
FILE: Example - Polycrytal with PROPS/innerloop.f
================================================
module innerloop
implicit none
contains
!
!
subroutine Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
use globalvariables, only : I6
!
use userinputs, only : maxniter, tolerance,
+ maxnparam, maxnloop, SVDinversion, maxnslip
!
use utilities, only : matvec6,
+ nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use errors, only : error
!
implicit none
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(in) :: gammasum(nslip)
!
! INOUTS
! Cauchy stress
real(8), intent(inout) :: sigma(6)
! overall crss
real(8), intent(inout) :: tau(nslip)
! convergence flag
integer, intent(inout) :: cpconv
!
! OUTPUTS
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! plastic velocity gradient
real(8), intent(out) :: Lp(3,3)
! Total deformation rate
real(8), intent(out) :: Dp(3,3)
! Total deformation rate
real(8), intent(out) :: dstranp33(3,3)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8), intent(out) :: invdpsi_dsigma(6,6)
! number of iterations
integer, intent(out) :: iter
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3)
! Sym part of plastic velocity gradient for slip
real(8) Dp_s(3,3)
! Sym part of plastic velocity gradient for creep
real(8) Dp_c(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtauc_c(nslip)
!
! plastic strain increment
real(8) :: dstranp(6)
!
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
!
!
! stress increment
real(8) :: dsigma(6)
!
! error flag for svd inversion
integer :: err
!
integer :: is
!
! Reset variables for the inner iteration
psinorm = 1.
iter = 0
!
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= tolerance)
+.and.(iter < maxniter).and.(cpconv == 1))
!
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
Lp_s = 0.
Dp_s = 0.
Pmat_s = 0.
gammadot_s = 0.
!
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! exponential law
elseif (slipmodel == 2) then
!
!
call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,nslip,phaid,
+ mattemp,slipparam,irradiationmodel,
+ irradiationparam,cubicslip,caratio,
+ Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
end if
!
!
!
! Slip due to creep
if (creepmodel == 0) then
!
!
Lp_c = 0.
Dp_c = 0.
Pmat_c = 0.
gammadot_c = 0.
!
!
elseif (creepmodel == 1) then
!
!
!
call expcreep(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,dt,nslip,phaid,
+ mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c,
+ gammadot_c,dgammadot_dtau_c,
+ dgammadot_dtauc_c)
!
!
!
!
endif
!
!
! Sum the effects of creep and slip rates
Lp = Lp_s + Lp_c
Dp = Dp_s + Dp_c
Pmat = Pmat_s + Pmat_c
gammadot = gammadot_s + gammadot_c
!
!
!
! Check for NaN in the slip rates
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for the Pmat
if(any(Pmat /= Pmat)) then
! did not converge
cpconv = 0
return
endif
!
!
!
! Plastic strain increment
dstranp33 = Dp*dt
call matvec6(dstranp33,dstranp)
dstranp(4:6)=2.*dstranp(4:6)
!
!
!
!
! Tangent-stiffness calculation
! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007)
dpsi_dsigma = I6 + matmul(Cs, Pmat)
!
!
!
! Invert (double precision version)
call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6)
!
!
! If inversion is not successfull!
! Check for the inverse
if(any(invdpsi_dsigma /= invdpsi_dsigma)) then
!
! Try using singular value decomposition
! If singular value decomposition is ON
if (SVDinversion==1) then
!
! Invert
call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err)
!
!
!
else
!
!
! did not converge
err = 1
!
!
!
end if
!
! Check again and if still not successfull
if(err==1) then
! did not converge
cpconv = 0
return
end if
!
!
endif
!
!
!
! residual (predictor - corrector scheme)
psi = sigmatr - sigma - matmul(Cs,dstranp)
!
! norm of the residual
psinorm = sqrt(sum(psi*psi))
!
!
! stress increment
dsigma = matmul(invdpsi_dsigma,psi)
!
!
! stress update
sigma = sigma + dsigma
!
!
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! increment iteration no.
iter = iter + 1
!
! End of NR iteration (inner loop)
end do
!
!
!
!
!
return
end subroutine Dunne_innerloop
!
!
!
!
!
!
!
!
! This subroutine is written by Chris Hardie (11/10/2023)
! Explicit state update rule
! Solution using state variables at the former time step
subroutine Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnslip,
+ inversetolerance
!
use utilities, only : matvec6, gmatvec6
!
use slipreverse, only : sinhslipreverse, powerslipreverse,
+ doubleexpslipreverse
!
!
implicit none
!
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! absolute value of trial RSS
real(8), intent(in) :: abstautr(nslip)
! sign of trial RSS
real(8), intent(in) :: signtautr(nslip)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
!
! OUTPUTS
! Cauchy stress
real(8), intent(out) :: sigma(6)
! Number of iterations
integer, intent(out) :: iterinverse
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! slip rates for slip
real(8) gammadot_s(nslip)
! absolute slip rates
real(8) absgammadot_s(nslip)
! sign of gammadot_s
real(8) signgammadot_s(nslip)
! derivative of rss wrt slip rates for slip
real(8) dtau_dgammadot_s(nslip,nslip)
! derrivative of error function
real(8) dpsi_dgammadot(nslip,nslip)
! inverse of derivative above
real(8) dpsi_dgammadotinv(nslip,nslip)
! slip correction
real(8) dgammadot(nslip)
! Derivative of slip law in forward direction
real(8) :: dgammadot_dtau(nslip)
! rss at the former time step
real(8) :: tau(nslip), tau_e(nslip)
! absolute value of rss at the former time step
real(8) :: abstau(nslip)
! sign of rss at the former time step
real(8) :: signtau(nslip)
!
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psinorm2, psi(nslip)
!
! Forward Jacobian
real(8) :: Pmat(6,6)
real(8) :: dpsi_dsigma(6,6)
! LU decomposition matricies for calculation of determinant
! real(8), allocatable :: l(:,:), u(:,:)
! integer, allocatable :: p(:,:)
!
! plastic strain increment
real(8) :: plasstraininc33(3,3), plasstraininc(6)
real(8) :: plasstrainrate(3,3)
!
! Shear Stiffness Matrix
real(8) :: G(nslip,nslip)
!
! other variables
real(8) :: dummy6(6), damping, iter_max, activesum
integer :: is
!
! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6))
!
!
! Reset variables for iteration
iter_max=10000.0
iterinverse = 0
psinorm = 1.0d+200
psinorm2 = 1.0d+200
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigmatr
abstau = abstautr
signtau =signtautr
tau_e = abstau*signtau
gammadot_s=0.
absgammadot_s=0.
Lp_s=0.
!
! Build Shear stiffness matrix
!
G = 0.
do is = 1, nslip
dummy6 = matmul(Cs, Schmidvec(is,:))
G(is,is) = dot_product(Schmidvec(is,:), dummy6)
end do
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2))
!
! increment iteration no.
iterinverse = iterinverse + 1
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
gammadot_s = 0.
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslipreverse(
+ Schmid,SchmidxSchmid,signtau,
+ abstau,tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,
+ absgammadot_s, gammadot_s,
+ dtau_dgammadot_s, dgammadot_dtau,Pmat)
!
!
!
! double exponent law (exponential law)
elseif (slipmodel == 2) then
!
!
call doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,Pmat,absgammadot_s,gammadot_s,
+ dtau_dgammadot_s,dgammadot_dtau)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s,
+ dgammadot_dtau, Pmat)
!
!
end if
!
! calculate resolved shear stress on slip systems
! rss and its sign
activesum=0
do is = 1, nslip
tau(is) = signtau(is)*abstau(is)
if (abstau(is) .GE. tauceff(is)) then
activesum=activesum+1.0
end if
end do
!
! residual (predictor - corrector) including backstress
psi = tau - X - tau_e
!
! norm of the residual
psinorm2 = sqrt(sum(psi*psi))
!
! Forward Jacobian
dgammadot_dtau=abs(dgammadot_dtau)*dt
psinorm = maxval(dgammadot_dtau)
!
! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u)
!
!
!
! dpsi_dgammadot
!
dpsi_dgammadot = dtau_dgammadot_s + G*dt
!
! Invert diagonal matrix
dpsi_dgammadotinv=0.
do is = 1, nslip
dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is)
end do
!
!
damping=min(2.0/activesum, 1.0)!0.5)
! damping = 0.5
! if (psinorm > 200.0) then
! damping=min(2.0/activesum, 0.5)
! end if
!
! slip increment
dgammadot = matmul(dpsi_dgammadotinv,psi)
!
gammadot_s = gammadot_s-damping*dgammadot
!
!
! Calculate Plastic Strain
Lp_s=0.; plasstrainrate=0.
do is = 1, nslip
Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:)
plasstrainrate = plasstrainrate +
+ gammadot_s(is)*Schmid(is,:,:)
absgammadot_s(is) = abs(gammadot_s(is))
signgammadot_s(is)= sign(1.0,gammadot_s(is))
end do
!
! plastic strain rate
plasstrainrate = (plasstrainrate +
+ transpose(plasstrainrate))/2.
!
!
! Plastic strain increment
plasstraininc33 = plasstrainrate*dt
call matvec6(plasstraininc33,plasstraininc)
plasstraininc(4:6)=2.*plasstraininc(4:6)
call gmatvec6(plasstraininc33,plasstraininc)
!
! Calculate rss following plastic relaxation
!
sigma=sigmatr-matmul(Cs,plasstraininc)
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau_e(is) = dot_product(Schmidvec(is,:),sigma)
tau(is) = tau_e(is)
signtau(is) = sign(1.0,tau(is))
abstau(is) = abs(tau(is))
end do
!
! check if slip is changing direction
do is = 1, nslip
if (signgammadot_s(is) /= signtau(is)) then
gammadot_s(is)=0.0
absgammadot_s(is)=0.0
end if
end do
!
if (iterinverse > iter_max) then
psinorm=1e-10
psinorm2=1e-10
end if
!
! End of NR iteration for stress approximation
end do
!active_s=1
!do is = 1, nslip
! if (absgammadot_s(is) > 0.0) then
! active_s(is)=1
! end if
!end do
return
end subroutine Hardie_innerloop
!
end module innerloop
================================================
FILE: Example - Polycrytal with PROPS/irradiation.f
================================================
! Specific subroutines for irradiation models
!
! Strength and hardening interaction matrices for irradiation model-2
module irradiation
implicit none
!
!
contains
!
!
! Subroutine to calculate strength interaction matrix for
! irradiation model-2
! Ref: https://doi.org/10.1016/j.actamat.2022.118361
subroutine calculateintmats4irradmodel2(nslip, dirc, norc,
+ irradiationparam, sintmat, hintmat)
use userinputs, only: maxnslip, maxnparam
implicit none
! Inputs
! Number of slip systems
integer, intent(in) :: nslip
! Normalize slip directions
real(8), intent(in) :: dirc(maxnslip,3)
! Normalized slip plane normals
real(8), intent(in) :: norc(maxnslip,3)
! Irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! Outputs
! Strength interaction matrix
! Strength interaction: sintmat (nslip x nloop)
real(8), intent(out) :: sintmat(maxnslip,maxnslip)
! Hardening (Softening) interaction matrix
! Hardening interaction: hintmat (nloop x nslip)
real(8), intent(out) :: hintmat(maxnslip,maxnslip)
! Variables used in this subroutine
integer :: nloop
! reaction vector
real(8) :: r(3)
! Projected vector (reaction segment)
real(8) :: a
integer :: i, j, ind
!
!
!
!
! Reset arrays
sintmat = 0.
hintmat = 0.
!
!
! Number of types of defects
nloop = int(irradiationparam(1))
!
!
do i=1,nslip
!
do j=1,nloop
!
! Slip system index corresponding to the defect type
ind = int(irradiationparam(7+j))
!
! What is the reaction product for the gliding dislocation on slip
! system 'i' and defect type 'j'?
r = dirc(i,:) + dirc(ind,:)
!
! Is this reaction in the slip plane of slip system 'i'?
a = dot_product(norc(i,:), r)
!
if (a==0.) then
sintmat(i,j)=irradiationparam(12)
hintmat(j,i)=irradiationparam(14)
else
sintmat(i,j)=irradiationparam(11)
hintmat(j,i)=irradiationparam(13)
end if
!
end do
!
end do
!
!
!
!
!
!
!
end subroutine calculateintmats4irradmodel2
!
!
!
end module irradiation
================================================
FILE: Example - Polycrytal with PROPS/meshprop.f
================================================
! Jan. 01st, 2023
! Eralp Demir
!
!
! ABAQUS Analysis User's Manual (6.10)
! 2D-Plane strain elements
! CPE4 4-node bilinear 4-integration points
! CPE6 6-node quadratic 3-integration points
! CPE8 8-node biquadratic 9-integration points
! CPE8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 2D-Plane stress elements
! CPS4 4-node bilinear 4-integration points
! CPS6 6-node quadratic 3-integration points
! CPS8 8-node biquadratic 9-integration points
! CPS8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 3D - element types
! C3D6 6-node linear triangular prism 4-integration points
! C3D8 8-node linear brick 8-integration points
! C3D10 10-node quadratic tetrahedron 4-integration points
! C3D15 15-node quadratic triangular prism 9-integration points
! C3D20 20-node quadratic brick 27-integration points
! C3D20R 20-node quadratic brick 8-integration points (reduced integration)
!
module meshprop
implicit none
contains
!
! Finite element properties
! based on element type
subroutine feprop
use errors, only : error
use globalvariables, only : eltyp, numel,
+ numtens, numdim, numpt, nnpel,
+ Nmat, invNmat, dNmat, dNmatc,
+ ipweights, calculategradient
use userinputs, only : gndlinear, gndmodel
use utilities, only: nolapinverse
!
!
implicit none
!
! Gaussian point coordinates
real(8) :: a, b
! Parametric coordinates
real(8) :: g, h, r
!
! Separate variables are used for each element type
! in order to avoid using allocatables!
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP4(4,2)
! Shape functions (nnpel)
real(8) :: N_CP4(4)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP4(2,4)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP4(4,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP4(4,4)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP4(4,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP4(2,4)
!
!
! Element type: CPE6 or CPS6
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP6(3,2)
! Shape functions (nnpel)
! Linear version
real(8) :: N_CP3(3)
! Quadratic version
real(8) :: N_CP6(6)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_CP3(2,3)
! Quadratic version
real(8) :: dN_CP6(2,6)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_CP3(3,3)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_CP6(6,6)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_CP3(3,3)
! Quadratic version
real(8) :: invNmat_CP6(6,3)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_CP3(3,2,3)
! Quadratic version
real(8) :: dNmat_CP6(3,2,6)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_CP3(2,3)
! Quadratic version
real(8) :: dNmatc_CP6(2,6)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP6(3,2)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP3(3,2)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_CP6(6,3)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_CP6(6,6)
!
!
! Element type: CPE8 or CPS8
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP8(9,2)
! Shape functions (nnpel)
real(8) :: N_CP8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP8(2,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8(9,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8(8,9)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP8(9,2,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8(2,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8(8,8)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8lin(9,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8lin(4,9)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_CP8lin(9,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8lin(2,4)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8lin(4,4)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8lin(4,4)
!
!
! Element type: C3D8 or C3D20R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D8(8,3)
! Shape functions (nnpel)
real(8) :: N_C3D8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D8(3,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D8(8,8)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D8(8,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D8(3,8)
!
!
! Element type: C3D10
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D10(4,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D4(4)
! Quadratic version
real(8) :: N_C3D10(10)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D4(3,4)
! Quadratic version
real(8) :: dN_C3D10(3,10)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_C3D4(4,4)
! Linear version (numpt_sub x nnpel)
real(8) :: Nmat_sub_C3D4(6,4)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D10(10,10)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_C3D4(4,4)
! Quadratic version
real(8) :: invNmat_C3D10(10,4)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D4(4,3,4)
! Quadratic version
real(8) :: dNmat_C3D10(4,3,10)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D4(3,4)
! Quadratic version
real(8) :: dNmatc_C3D10(3,10)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D10(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D4(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D10(10,4)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D10(10,10)
!
!
!
! Element type: C3D15
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D15(9,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D6(6)
! Quadratic version
real(8) :: N_C3D15(15)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D6(3,6)
! Quadratic version
real(8) :: dN_C3D15(3,15)
! Shape function matrix
! Linear version (numpt x nnpel_sub)
real(8) :: Nmat_C3D6(9,6)
! Quadratic version (numpt x nnpel_sub)
real(8) :: Nmat_sub_C3D6(6,6)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D15(15,15)
! Coefficient matrix
! Linear version (nnpel_sub x numpt)
real(8) :: coeff_C3D6(6,6)
! Linear version (nnpel_sub x numpt)
real(8) :: invNmat_C3D6(6,9)
! Quadratic version (nnpel x numpt)
real(8) :: invNmat_C3D15(15,9)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D6(9,3,6)
! Quadratic version
real(8) :: dNmat_C3D15(9,3,15)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D6(3,6)
! Quadratic version
real(8) :: dNmatc_C3D15(3,15)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D15(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D6(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D15(15,9)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D15(15,15)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D6(6,6)
!
!
!
!
! Element type: C3D20
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D20(27,3)
! Shape functions (nnpel)
real(8) :: N_C3D20(20)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D20(3,20)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20(27,20)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20(20,20)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20(20,27)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D20(27,3,20)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20(3,20)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20(20,20)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20lin(27,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20lin(8,27)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_C3D20lin(27,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20lin(3,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20lin(8,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20lin(8,8)
!
!
! Sub element properties
integer :: nnpel_sub, numpt_sub
! Parametric Gauss point coordinates
integer :: ipt
! Dummy integers
integer :: i, j
!
!
! Identify the element type
! Based on
! - number of integration points per element: numpt
! - dimension of the problem: ntens
call findelementtype(numtens,numpt,eltyp)
!
!
!
!
!! Output the element type
! write(*,*) 'ABAQUS element type: ', eltyp
!
select case(eltyp)
!
! Element type: CPE3 or CPS3 or CPE6R or CPS6R
! Use the same interpolation functions for the reduced elements
case('CPE3', 'CPS3', 'CPE6R', 'CPS6R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 3
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4R or CPS4R
! Use the same interpolation functions for the reduced elements
case('CPE4R', 'CPS4R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! Use the same interpolation functions for the reduced elements
case('CPE4', 'CPS4', 'CPE8R', 'CPS8R')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP4 = 0.
GPcoords_CP4(1,:) = (/ -1., -1. /)
GPcoords_CP4(2,:) = (/ 1., -1. /)
GPcoords_CP4(3,:) = (/ -1., 1. /)
GPcoords_CP4(4,:) = (/ 1., 1. /)
GPcoords_CP4 = GPcoords_CP4/sqrt(3.)
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
!
! Gauss point coordinates
g = GPcoords_CP4(ipt,1)
h = GPcoords_CP4(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP4(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP4,invNmat_CP4,4)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP4 = dN_CP4
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP4(:,:)
dNmat(:,:,:) = dNmat_CP4(:,:,:)
invNmat(:,:) = invNmat_CP4(:,:)
dNmatc(:,:) = dNmatc_CP4(:,:)
!
!
! Element type: CPE6 or CPS6
case('CPE6', 'CPS6')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./6.
!
!
!
!
! Gauss points
GPcoords_CP6 = 0.
GPcoords_CP6(1,:) = (/ 1./6., 1./6. /)
GPcoords_CP6(2,:) = (/ 2./3., 1./6. /)
GPcoords_CP6(3,:) = (/ 1./6., 2./3. /)
!
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 3
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use CP3 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel) = N_CP3
!
! Shape function derivative
dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP3,invNmat_CP3,3)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Assign the center value
dNmatc_CP3 = dN_CP3
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP3(:,:)
dNmat(:,:,:) = dNmat_CP3(:,:,:)
invNmat(:,:) = invNmat_CP3(:,:)
dNmatc(:,:) = dNmatc_CP3(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Number of nodes per element
nnpel = 6
!
! Number of nodes per the sub element
nnpel_sub = 3
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_CP6 = 0.
GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /)
GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /)
GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /)
!
! Local coordinates (in its linear form)
GPcoords_sub_CP3 = 0.
GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /)
GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /)
GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /)
!
!
!
! Use CP6 (quadratic) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(ipt,1:nnpel) = N_CP6
!
! Shape function derivative
dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6
!
end do
!
!
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_CP6(ipt,1)
h = GPcoords_sub_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_CP3(ipt,1)
h = GPcoords_sub_CP3(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel_sub) = N_CP3
!
!
!
end do
!
!
IPmap_CP6=0.
! Identity matrix
do i=1,numpt
IPmap_CP6(i,i)=1.
end do
IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_CP3
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP6,coeff_CP6,6)
!
!
invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Assign the center value
dNmatc_CP6 = dN_CP6
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP6(:,:)
dNmat(:,:,:) = dNmat_CP6(:,:,:)
invNmat(:,:) = invNmat_CP6(:,:)
dNmatc(:,:) = dNmatc_CP6(:,:)
!
!
!
!
!
endif
!
!
!
!
!
! Element type: CPE8 or CPS8
case('CPE8', 'CPS8')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.308641975308642
ipweights(2) = 0.493827160493827
ipweights(3) = 0.308641975308642
ipweights(4) = 0.493827160493827
ipweights(5) = 0.790123456790124
ipweights(6) = 0.493827160493827
ipweights(7) = 0.308641975308642
ipweights(8) = 0.493827160493827
ipweights(9) = 0.308641975308642
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP8 = 0.
GPcoords_CP8(1,:) = (/ -1., -1. /)
GPcoords_CP8(2,:) = (/ 0., -1. /)
GPcoords_CP8(3,:) = (/ 1., -1. /)
GPcoords_CP8(4,:) = (/ -1., 0. /)
GPcoords_CP8(5,:) = (/ 0., 0. /)
GPcoords_CP8(6,:) = (/ 1., 0. /)
GPcoords_CP8(7,:) = (/ -1., 1. /)
GPcoords_CP8(8,:) = (/ 0., 1. /)
GPcoords_CP8(9,:) = (/ 1., 1. /)
GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Use CP4 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP8lin(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Make Nmat a square matrix
NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8lin,coeff_CP8lin,4)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP8lin = dN_CP4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8lin(:,:)
dNmat(:,:,:) = dNmat_CP8lin(:,:,:)
invNmat(:,:) = invNmat_CP8lin(:,:)
dNmatc(:,:) = dNmatc_CP8lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 8
!
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Shape function mapping
Nmat_CP8(ipt,1:nnpel) = N_CP8
!
! Shape function derivative
dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8
!
end do
!
! Make Nmat a square matrix
NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8,coeff_CP8,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Assign the center value
dNmatc_CP8 = dN_CP8
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8(:,:)
dNmat(:,:,:) = dNmat_CP8(:,:,:)
invNmat(:,:) = invNmat_CP8(:,:)
dNmatc(:,:) = dNmatc_CP8(:,:)
!
!
end if
!
!
case('C3D4')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
case('C3D6')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 6
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
case('C3D8R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
! Element type: C3D8 or C3D20R
! Use the same interpolation functions for the reduced element
case('C3D8','C3D20R')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Gauss points
GPcoords_C3D8 = 0.
GPcoords_C3D8(1,:) = (/ -1., -1., -1. /)
GPcoords_C3D8(2,:) = (/ 1., -1., -1. /)
GPcoords_C3D8(3,:) = (/ -1., 1., -1. /)
GPcoords_C3D8(4,:) = (/ 1., 1., -1. /)
GPcoords_C3D8(5,:) = (/ -1., -1., 1. /)
GPcoords_C3D8(6,:) = (/ 1., -1., 1. /)
GPcoords_C3D8(7,:) = (/ -1., 1., 1. /)
GPcoords_C3D8(8,:) = (/ 1., 1., 1. /)
GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.)
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D8(ipt,1)
h = GPcoords_C3D8(ipt,2)
r = GPcoords_C3D8(ipt,3)
!
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
!
!
! Shape function mapping
Nmat_C3D8(ipt,1:nnpel) = N_C3D8
!
!
!
! Shape function derivative
dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8
!
!
end do
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D8,invNmat_C3D8,8)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D8 = dN_C3D8
!
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D8(:,:)
dNmat(:,:,:) = dNmat_C3D8(:,:,:)
invNmat(:,:) = invNmat_C3D8(:,:)
dNmatc(:,:) = dNmatc_C3D8(:,:)
!
!
!
!
!
! Element type: C3D10
case('C3D10')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./4./6.
!
! Gauss points
a = 0.138196601125010
b = 0.585410196624968
!
!
GPcoords_C3D10 = 0.
GPcoords_C3D10(1,:) = (/ a, a, a /)
GPcoords_C3D10(2,:) = (/ b, a, a /)
GPcoords_C3D10(3,:) = (/ a, b, a /)
GPcoords_C3D10(4,:) = (/ a, a, b /)
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Number of nodes per the sub element
nnpel_sub = 0
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use C3D4 (linear) element function
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_C3D4(ipt,1:nnpel) = N_C3D4
!
! Shape function derivative
dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D4,invNmat_C3D4,4)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Assign the center value
dNmatc_C3D4 = dN_C3D4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D4(:,:)
dNmat(:,:,:) = dNmat_C3D4(:,:,:)
invNmat(:,:) = invNmat_C3D4(:,:)
dNmatc(:,:) = dNmatc_C3D4(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 10
!
! Number of nodes per the sub element
nnpel_sub = 4
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D10 = 0.
do i=1,numdim
GPcoords_sub_C3D10(1,i) =
+ 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i))
GPcoords_sub_C3D10(2,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i))
GPcoords_sub_C3D10(3,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(4,i) =
+ 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(5,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i))
GPcoords_sub_C3D10(6,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D4 = 0.
GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /)
GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /)
GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /)
GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /)
GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /)
GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /)
!
!
!
!
!
! Use C3D10 (quadratic) element function
write(*,*) 'Quadratic interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(ipt,1:nnpel) = N_C3D10
!
! Shape function derivative
dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10
!
!
end do
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D10(ipt,1)
h = GPcoords_sub_C3D10(ipt,2)
r = GPcoords_sub_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D4(ipt,1)
h = GPcoords_sub_C3D4(ipt,2)
r = GPcoords_sub_C3D4(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4
!
!
end do
!
!
! Identity matrix
IPmap_C3D10 = 0.
do i=1,numpt
IPmap_C3D10(i,i)=1.
end do
!
IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D4
!
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D10,coeff_C3D10,10)
!
!
!
invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Assign the center value
dNmatc_C3D10 = dN_C3D10
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D10(:,:)
dNmat(:,:,:) = dNmat_C3D10(:,:,:)
invNmat(:,:) = invNmat_C3D10(:,:)
dNmatc(:,:) = dNmatc_C3D10(:,:)
!
!
!
!
!
!
!
!
endif
!
!
!
! Element type: C3D15
case('C3D15')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1./6./3.
!
!
!
! Isoparametric coordinate (r-axis)
a = 0.774596669241483
!
!
GPcoords_C3D15 = 0.
GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /)
GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /)
GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /)
GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /)
GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /)
GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /)
GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /)
GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /)
GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /)
!
GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 6
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
! Use C3D6 (linear) element function
write(*,*) 'Linear interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_C3D6(ipt,1:nnpel) = N_C3D6
!
! Shape function derivative
dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6
!
end do
!
!
NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D6,coeff_C3D6,6)
!
!
invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6))
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Assign the center value
dNmatc_C3D6 = dN_C3D6
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D6(:,:)
dNmat(:,:,:) = dNmat_C3D6(:,:,:)
invNmat(:,:) = invNmat_C3D6(:,:)
dNmatc(:,:) = dNmatc_C3D6(:,:)
!
!
!
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 15
!
! Number of nodes of the sub-element
nnpel_sub = 6
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D15 = 0.
do i=1,numdim
GPcoords_sub_C3D15(1,i) =
+ 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i))
GPcoords_sub_C3D15(2,i) =
+ 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i))
GPcoords_sub_C3D15(3,i) =
+ 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i))
GPcoords_sub_C3D15(4,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i))
GPcoords_sub_C3D15(5,i) =
+ 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i))
GPcoords_sub_C3D15(6,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D6 = 0.
GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /)
GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /)
GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /)
GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /)
GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /)
GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /)
!
!
!
!
!
! Use C3D15 (quadratic) element function
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(ipt,1:nnpel) = N_C3D15
!
! Shape function derivative
dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15
!
!
end do
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D15(ipt,1)
h = GPcoords_sub_C3D15(ipt,2)
r = GPcoords_sub_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15
!
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D6(ipt,1)
h = GPcoords_sub_C3D6(ipt,2)
r = GPcoords_sub_C3D6(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6
!
!
!
end do
!
!
! Identity matrix
IPmap_C3D15=0.
do i=1,numpt
IPmap_C3D15(i,i)=1.
end do
IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D6
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D15,coeff_C3D15,15)
!
!
invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Assign the center value
dNmatc_C3D15 = dN_C3D15
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D15(:,:)
dNmat(:,:,:) = dNmat_C3D15(:,:,:)
invNmat(:,:) = invNmat_C3D15(:,:)
dNmatc(:,:) = dNmatc_C3D15(:,:)
!
!
!
!
!
!
endif
!
!
!
!
!
!
! Element type: C3D20
case('C3D20')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.171467764060357
ipweights(2) = 0.274348422496571
ipweights(3) = 0.171467764060357
ipweights(4) = 0.274348422496571
ipweights(5) = 0.438957475994513
ipweights(6) = 0.274348422496571
ipweights(7) = 0.171467764060357
ipweights(8) = 0.274348422496571
ipweights(9) = 0.171467764060357
ipweights(10) = 0.274348422496571
ipweights(11) = 0.438957475994513
ipweights(12) = 0.274348422496571
ipweights(13) = 0.438957475994513
ipweights(14) = 0.702331961591221
ipweights(15) = 0.438957475994513
ipweights(16) = 0.274348422496571
ipweights(17) = 0.438957475994513
ipweights(18) = 0.274348422496571
ipweights(19) = 0.171467764060357
ipweights(20) = 0.274348422496571
ipweights(21) = 0.171467764060357
ipweights(22) = 0.274348422496571
ipweights(23) = 0.438957475994513
ipweights(24) = 0.274348422496571
ipweights(25) = 0.171467764060357
ipweights(26) = 0.274348422496571
ipweights(27) = 0.171467764060357
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
GPcoords_C3D20 = 0.
GPcoords_C3D20(1,:)= (/ -1., -1., -1. /)
GPcoords_C3D20(2,:)= (/ 0., -1., -1. /)
GPcoords_C3D20(3,:)= (/ 1., -1., -1. /)
GPcoords_C3D20(4,:)= (/ -1., 0., -1. /)
GPcoords_C3D20(5,:)= (/ 0., 0., -1. /)
GPcoords_C3D20(6,:)= (/ 1., 0., -1. /)
GPcoords_C3D20(7,:)= (/ -1., 1., -1. /)
GPcoords_C3D20(8,:)= (/ 0., 1., -1. /)
GPcoords_C3D20(9,:)= (/ 1., 1., -1. /)
GPcoords_C3D20(10,:)= (/ -1., -1., 0. /)
GPcoords_C3D20(11,:)= (/ 0., -1., 0. /)
GPcoords_C3D20(12,:)= (/ 1., -1., 0. /)
GPcoords_C3D20(13,:)= (/ -1., 0., 0. /)
GPcoords_C3D20(14,:)= (/ 0., 0., 0. /)
GPcoords_C3D20(15,:)= (/ 1., 0., 0. /)
GPcoords_C3D20(16,:)= (/ -1., 1., 0. /)
GPcoords_C3D20(17,:)= (/ 0., 1., 0. /)
GPcoords_C3D20(18,:)= (/ 1., 1., 0. /)
GPcoords_C3D20(19,:)= (/ -1., -1., 1. /)
GPcoords_C3D20(20,:)= (/ 0., -1., 1. /)
GPcoords_C3D20(21,:)= (/ 1., -1., 1. /)
GPcoords_C3D20(22,:)= (/ -1., 0., 1. /)
GPcoords_C3D20(23,:)= (/ 0., 0., 1. /)
GPcoords_C3D20(24,:)= (/ 1., 0., 1. /)
GPcoords_C3D20(25,:)= (/ -1., 1., 1. /)
GPcoords_C3D20(26,:)= (/ 0., 1., 1. /)
GPcoords_C3D20(27,:)= (/ 1., 1., 1. /)
GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6)
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 8
!
!
!
!
! Use C3D8 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Shape function mapping
Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8
!
! Shape function derivative
dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20lin =
+ matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_C3D20lin =
+ matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D20lin = dN_C3D8
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20lin(:,:)
dNmat(:,:,:) = dNmat_C3D20lin(:,:,:)
invNmat(:,:) = invNmat_C3D20lin(:,:)
dNmatc(:,:) = dNmatc_C3D20lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 20
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Shape function mapping
Nmat_C3D20(ipt,1:nnpel) = N_C3D20
!
! Shape function derivative
dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20)
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20,coeff_C3D20,20)
!
! Overall mapping to map from the IPs to the nodes
invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20))
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Assign the center value
dNmatc_C3D20 = dN_C3D20
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20(:,:)
dNmat(:,:,:) = dNmat_C3D20(:,:,:)
invNmat(:,:) = invNmat_C3D20(:,:)
dNmatc(:,:) = dNmatc_C3D20(:,:)
!
!
end if
!
!
!
case default
!
call error(2)
!
!
end select
!
!
write(*,*) 'Dimension of the analysis: ', numdim
write(*,*) 'Number of integration points per element: ', numpt
! write(*,*) 'Number of nodes per element: ', nnpel
!
!
!
return
end subroutine feprop
!
!
!
! Find the number of nodes for displacement analysis (not for GND analysis)
subroutine findelementtype(numtens,numpt,eltyp)
implicit none
integer, intent(in) :: numtens
integer, intent(in) :: numpt
character(len=:), allocatable, intent(out) :: eltyp
!
!
! Determine the element type
! Based on the dimension of the problem (numdim=ntens)
!
! Dimension of the problem (2D-plane stress)
if (numtens==3) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPS3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPS4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPS6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPS8'
!
end select
!
! Dimension of the problem (2D - Plane strain)
elseif (numtens==4) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPE3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPE4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPE6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPE8'
!
end select
!
!
! Dimension of the problem (3D)
elseif (numtens==6) then
!
select case(numpt)
!
! 3D - C3D4 / C3D8R / C3D10R
case(1)
!
eltyp = 'C3D4'
!
! 3D - C3D6 / C3D15R
case(2)
!
eltyp = 'C3D6'
!
! 3D - C3D8 / C3D20R
case(8)
!
eltyp = 'C3D8'
!
! 3D - C3D10
case(4)
!
eltyp = 'C3D10'
!
! 3D - C3D15
case(9)
!
eltyp = 'C3D15'
!
! 3D - C3D20
case(27)
!
eltyp = 'C3D20'
!
end select
!
end if
!
write(*,*) 'Element type identified as: ', eltyp
!
return
end subroutine findelementtype
!
!
! Contains the element-by-element initializations
! Done only once at the first run
subroutine initialize_gradientoperators
use globalvariables, only : numel,
+ numdim, numpt, nnpel, gradip2ip, ipweights,
+ ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc
use userinputs, only : gndlinear
use utilities, only: nolapinverse, inv2x2, inv3x3
implicit none
! Gauss point coordinates in sample reference
real(8) :: xIP(numpt,numdim)
! Node point coordinates
real(8) :: xnode(nnpel,numdim)
! Jacobian transpose
real(8) :: JT(numdim,numdim)
! Jacobian inverse transpose
real(8) :: invJT(numdim,numdim)
! Determinant of the inversion
real(8) :: det
! Gradient operator
real(8) :: grad(numdim,nnpel)
! Overall mapping
real(8) :: grad_invN(numdim,numpt)
! Element number and ip number
integer :: iel, ipt
!
!
!
!
! Loop through each element
do iel = 1, numel
!
!
!
! Vectorize element ipcoordinates
xIP = 0.
do ipt = 1, numpt
!
xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim)
!
end do
!
!
!
!
!
xnode = matmul(invNmat,xIP)
!
!
!
!
!
! For each integration point
do ipt = 1, numpt
!
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode)
!
!
!
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! IP domain size
ipdomain(iel,ipt) = det * ipweights(ipt)
!
!
!
! Gradient operator
grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel))
!
!
!
! Overall mapping
grad_invN = matmul(grad,invNmat)
!
!
!
!
! Store
gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
! write(*,*) 'vol: ', sum(ipdomain(iel,:))
! write(*,*) '******************'
!
! For the center of the element
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmatc,xnode)
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! Gradient operator
grad = matmul(invJT,dNmatc)
!
!
! Overall mapping
grad_invN = matmul(grad, invNmat)
!
! Store
gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
!
return
end subroutine initialize_gradientoperators
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE3 or CPS3
subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - g - h
!
N(2) = g
!
N(3) = h
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
!
!
!
return
end subroutine CP3_N_dN
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE4 or CPS4 or CPE8R or CPS8R
subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP4 element
N(1) = (1. - g) * (1. - h) / 4.
!
N(2) = (1. + g) * (1. - h) / 4.
!
N(3) = (1. + g) * (1. + h) / 4.
!
N(4) = (1. - g) * (1. + h) / 4.
!
!
!
!
! Shape function derivatives wrt natural coords for CP4 element
!
! dN_dg
dN(1,1) = -1. * (1. - h) / 4.
!
dN(1,2) = 1. * (1. - h) / 4.
!
dN(1,3) = 1. * (1. + h) / 4.
!
dN(1,4) = -1. * (1. + h) / 4.
!
! dN_dh
dN(2,1) = (1. - g) * -1. / 4.
!
dN(2,2) = (1. + g) * -1. / 4.
!
dN(2,3) = (1. + g) * 1. / 4.
dN(2,4) = (1. - g) * 1. / 4.
!
!
!
!
!
return
end subroutine CP4_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE6 or CPS6
subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP6 element
N(1) = 2. * (0.5 - g - h) * (1. - g - h)
!
N(2) = 2. * g * (g - 0.5)
!
N(3) = 2. * h * (h - 0.5)
!
N(4) = 4. * g * (1. - g - h)
!
N(5) = 4. * g * h
!
N(6) = 4. * h * (1. - g - h)
!
!
!
!
! Shape function derivatives wrt natural coords for C3D4 element
! dN_dg
dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.)
!
dN(1,3) = 0.
!
dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.)
!
dN(1,5) = 4. * (1.) * h
!
dN(1,6) = 4. * h * (-1.)
!
! dN_dh
dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(2,2) = 0.
!
dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.)
!
dN(2,4) = 4. * g * (-1.)
!
dN(2,5) = 4. * g * (1.)
!
dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.)
!
!
!
!
return
end subroutine CP6_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE8 or CPS8
subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP8 element
N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h)
!
N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h)
!
N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h)
!
N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h)
!
N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h)
!
N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g)
!
N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h)
!
N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g)
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP8 element
! dN_dg
dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (-1.)
!
dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
!
dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (1.)
!
dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) +
+ 1./2. * (1. - g) * (1.) * (1. - h)
!
dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.)
!
dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) +
+ 1./2. * (1. - g) * (1.) * (1. + h)
!
dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.)
!
!
!
! dN_dh
dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (1.)
!
dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (-1.)
!
dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.)
!
dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) +
+ 1./2. * (1. - h) * (1.) * (1. + g)
!
dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.)
!
dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) +
+ 1./2. * (1. - h) * (1.) * (1. - g)
!
!
!
!
!
!
return
end subroutine CP8_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D4
subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - h - r - g
!
N(2) = g
!
N(3) = h
!
N(4) = r
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
dN(2,4) = 0.
!
!
! dN_dr
dN(3,1) = -1.
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = 1.
!
!
!
!
!
!
return
end subroutine C3D4_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D6
subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D6 element
N(1) = 1./2.*(1.-g-h)*(1.-r)
!
N(2) = 1./2.*g*(1.-r)
!
N(3) = 1./2.*h*(1.-r)
!
N(4) = 1./2.*(1.-g-h)*(1.+r)
!
N(5) = 1./2.*g*(1.+r)
!
N(6) = 1./2.*h*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = 1./2.*(-1.)*(1.-r)
!
dN(1,2) = 1./2.*(1.)*(1.-r)
!
dN(1,3) = 0.
!
dN(1,4) = 1./2.*(-1.)*(1.+r)
!
dN(1,5) = 1./2.*(1.)*(1.+r)
!
dN(1,6) = 0.
!
!
!
! dN_dh
dN(2,1) = 1./2.*(-1.)*(1.-r)
!
dN(2,2) = 0.
!
dN(2,3) = 1./2.*(1.)*(1.-r)
!
dN(2,4) = 1./2.*(-1.)*(1.+r)
!
dN(2,5) = 0.
!
dN(2,6) = 1./2.*(1.)*(1.+r)
!
!
!
! dN_dr
dN(3,1) = 1./2.*(1.-g-h)*(-1.)
!
dN(3,2) = 1./2.*g*(-1.)
!
dN(3,3) = 1./2.*h*(-1.)
!
dN(3,4) = 1./2.*(1.-g-h)*(1.)
!
dN(3,5) = 1./2.*g*(1.)
!
dN(3,6) = 1./2.*h*(1.)
!
!
!
!
!
!
return
end subroutine C3D6_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D8
subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D8 element
N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r)
!
N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r)
!
N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r)
!
N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r)
!
N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r)
!
N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r)
!
N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r)
!
N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D8 element
! dN_dg
dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r)
!
dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r)
!
dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r)
!
dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r)
!
dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r)
!
dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r)
!
dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r)
!
dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r)
!
!
!
!
! dN_dh
dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r)
!
dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r)
!
dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r)
!
dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r)
!
dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r)
!
dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r)
!
dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r)
!
dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r)
!
!
! dN_dr
dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.)
!
dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.)
!
dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.)
!
dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.)
!
dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.)
!
dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.)
!
dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.)
!
dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.)
!
!
!
!
!
!
return
end subroutine C3D8_N_dN
!
!
!
!
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D10
subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D10 element
N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r)
!
N(2) = (2.*g - 1.)*g
!
N(3) = (2.*h - 1.)*h
!
N(4) = (2.*r - 1.)*r
!
N(5) = 4.*(1.-g-h-r)*g
!
N(6) = 4.*g*h
!
N(7) = 4.*(1.-g-h-r)*h
!
N(8) = 4.*(1.-g-h-r)*r
!
N(9) = 4.*g*r
!
N(10) = 4.*h*r
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D10 element
! dN_dg
dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.)
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.)
!
dN(1,6) = 4.*h
!
dN(1,7) = 4.*(-1.)*h
!
dN(1,8) = 4.*(-1.)*r
!
dN(1,9) = 4.*(1.)*r
!
dN(1,10) = 0.
!
!
!
!
! dN_dh
dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(2,2) = 0.
!
dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.)
!
dN(2,4) = 0.
!
dN(2,5) = 4.*(-1.)*g
!
dN(2,6) = 4.*g*(1.)
!
dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.)
!
dN(2,8) = 4.*(-1.)*r
!
dN(2,9) = 0.
!
dN(2,10) = 4.*(1.)*r
!
!
!
! dN_dr
dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.)
!
dN(3,5) = 4.*(-1.)*g
!
dN(3,6) = 0.
!
dN(3,7) = 4.*(-1.)*h
!
dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.)
!
dN(3,9) = 4.*g*(1.)
!
dN(3,10) = 4.*h*(1.)
!
!
!
!
!
!
!
return
end subroutine C3D10_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D15
subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D15 element
N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2))
!
N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2))
!
N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2))
!
N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2))
!
N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2))
!
N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2))
!
N(7) = 2.*(1.-g-h)*g*(1.-r)
!
N(8) = 2.*g*h*(1.-r)
!
N(9) = 2.*h*(1.-g-h)*(1.-r)
!
N(10) = 2.*(1.-g-h)*g*(1.+r)
!
N(11) = 2.*g*h*(1.+r)
!
N(12) = 2.*h*(1.-g-h)*(1.+r)
!
N(13) = (1.-g-h)*(1.-r**2)
!
N(14) = g*(1.-r**2)
!
N(15) = h*(1.-r**2)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D15 element
! dN_dg
dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2.
!
dN(1,3) = 0.
!
dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2.
!
dN(1,6) = 0.
!
dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.)
!
dN(1,8) = -2.*h*(r - 1.)
!
dN(1,9) = 2.*h*(r - 1.)
!
dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.)
!
dN(1,11) = 2.*h*(r + 1.)
!
dN(1,12) = -2.*h*(r + 1.)
!
dN(1,13) = r**2 - 1.
!
dN(1,14) = 1. - r**2
!
dN(1,15) = 0.
!
!
!
! dN_dh
dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(2,2) = 0.
!
dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2.
!
dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(2,5) = 0.
!
dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2.
!
dN(2,7) = 2.*g*(r - 1.)
!
dN(2,8) = -2.*g*(r - 1.)
!
dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.)
!
dN(2,10) = -2.*g*(r + 1.)
!
dN(2,11) = 2.*g*(r + 1.)
!
dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.)
!
dN(2,13) = r**2 - 1.
!
dN(2,14) = 0.
!
dN(2,15) = 1. - r**2
!
!
!
! dN_dr
dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2.
!
dN(3,2) = (g*(2.*r - 2.*g + 1.))/2.
!
dN(3,3) = (h*(2.*r - 2.*h + 1.))/2.
!
dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2.
!
dN(3,5) = (g*(2.*g + 2.*r - 1.))/2.
!
dN(3,6) = (h*(2.*h + 2.*r - 1.))/2.
!
dN(3,7) = g*(2.*g + 2.*h - 2.)
!
dN(3,8) = -2.*g*h
!
dN(3,9) = 2.*h*(g + h - 1.)
!
dN(3,10) = -g*(2.*g + 2.*h - 2.)
!
dN(3,11) = 2.*g*h
!
dN(3,12) = -2.*h*(g + h - 1.)
!
dN(3,13) = 2.*r*(g + h - 1.)
!
dN(3,14) = -2.*g*r
!
dN(3,15) = -2.*h*r
!
!
!
!
!
!
!
!
return
end subroutine C3D15_N_dN
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D20
subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D20 element
N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.)
!
N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.)
!
N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.)
!
N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.)
!
N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.)
!
N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.)
!
N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.)
!
N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.)
!
N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.)
!
N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.)
!
N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.)
!
N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D20 element
! dN_dg
dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (h - 1.)*(r - 1.)*(g + h + r + 2.)/8.
!
dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (h - 1.)*(r - 1.)*(h - g + r + 2.)/8.
!
dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g + h - r - 2.)/8.
!
dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g - h + r + 2.)/8.
!
dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g + h - r + 2.)/8.
!
dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g - h + r - 2.)/8.
!
dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g + h + r - 2.)/8.
!
dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g - h - r + 2.)/8.
!
dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) -
+ (g + 1.)*(h - 1.)*(r - 1.)/4.
!
dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.)
dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.)
!
dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
!
!
! dN_dh
dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.)
!
dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.)
!
dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.)
!
dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.)
!
dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.)
!
dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.)
!
dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.)
!
dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) -
+ (g - 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.)
dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
!
!
! dN_dr
dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.)
!
dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.)
!
dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.)
!
dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.)
!
dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.)
!
dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.)
!
dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.)
!
dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) -
+ (g - 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
!
!
!
!
!
!
!
return
end subroutine C3D20_N_dN
!
!
!
!
!
!
!
!
!
!
end module meshprop
================================================
FILE: Example - Polycrytal with PROPS/slip.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slip
implicit none
contains
!
!
subroutine sinhslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,
+ dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
use errors, only: error
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
! variables used within this subroutine
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
real(8) :: abstau, signtau
!
!
!
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
!
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
!
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
!
Pmat=0.; Lp = 0.; Dp = 0.
! Loop through slip systems
do is = 1,nslip
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
! Outer multipler "alpha" calculation:
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
! THESE CHECKS SHALL BE PLACED TO INITIALIZATION!
!! Check for zero activation volume
! if (AV == 0.) then
! call error(8)
! end if
!
!
!
!
! Inner multiplier "beta" calculation:
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
!
beta = AV/KB/T
!
!
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! Correction by C. Hardie - 26.05.2022
! This correction needs to be done if activation volume
! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then!
if (AV0 /= 0.0) then
! Corrected by A. Pechero - 23.02.2023
! same burgers magnitude for 1st-12th slip systems
! changes only if slip system is greater than 12th
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
end if
!
! This is critical threshold
if (abstau >= tauc(is)) then
!
! slip rate
gammadot(is) = alpha*
+ sinh(beta*(abstau-tauc(is)))*signtau
!
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau-tauc(is)))
!
!
dgammadot_dtauc(is) = -alpha*beta*
+ cosh(beta*(abstau-tauc(is)))*signtau
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
!
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
!
end if
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine sinhslip
!
!
!
!
!
!
!
!
!
!
! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal
! plasticity finite-element models on the simulation of nickel alloys,
! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951
!
subroutine doubleexpslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! RSS/CRSS ratio
ratio=abstau/tauc(is)
!
! Avoid negative values before elevating to power q
if (ratio >= 1.0) then
!
gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature))
!
! Standard case
else
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
! Strain rate due to thermally activated glide (rate dependent plasticity)
gammadot(is) = signtau*gammadot0*
+ exp(-(DeltaF/KB/T)*(1.-ratio**p)**q)
!
!
!
endif
!
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**(p-1.)
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) )
dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**p*signtau
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine doubleexpslip
!
!
!
!
!
!
!
!
!
!
!
!
subroutine powerslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! Variables used within this subroutine
integer :: is, i, j
real(8) :: gammadot0, power_n, constant_n, slope_n, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
ratio = abstau / tauc(is)
!
!
gammadot(is) = gammadot0*ratio**power_n*signtau
!
!
!
dgammadot_dtau(is) = gammadot0*power_n
+ /tauc(is)*ratio**(power_n-1.0)
!
!
dgammadot_dtauc(is) = -gammadot0*power_n
+ /tauc(is)*ratio**(power_n)*signtau
!
!
Pmat = Pmat +
+ dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:)
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
end subroutine powerslip
!
!
!
!
!
!
!
!
end module slip
================================================
FILE: Example - Polycrytal with PROPS/slipreverse.f
================================================
! Oct. 6th, 2023
! Chris Hardie
! Reverse Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slipreverse
implicit none
contains
!
!
!
!
subroutine doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Pmat,absgammadot,gammadot,
+ dtau_dgammadot,dgammadot_dtau)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Absolute value of slip
real(8), intent(in) :: absgammadot(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! slip rates
real(8), intent(in) :: gammadot(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! Value of RSS
real(8), intent(inout) :: tau(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! absolute value of RSS
real(8), intent(out) :: abstau(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
! RSS/CRSS ratio
xx=abstau(is)/tauc(is)
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF
!
abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p),
+ tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) = (KB*T*tauc(is)/
+ (absgammadot(is)*DeltaF*q*p))*
+ (1-u**(1/q))**((1-p)/p)*u**((1-q)/q)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.)
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
!
return
end subroutine doubleexpslipreverse
!
!
!
!
subroutine powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot, gammadot,
+ dtau_dgammadot,
+ dgammadot_dtau, Pmat)
!
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! variables used within this subroutine
real(8) :: gammadot0, constant_n, slope_n, power_n
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
! This is critical threshold
if (((abstau(is) >= tauc(is)).OR.
+ (absgammadot(is) .GT. 1.0e-6))) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) =
+ (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1)
!
abstau(is)=
+ max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) =
+ (tauc(is)/power_n*gammadot0)*
+ (absgammadot(is)/gammadot0)**((1-power_n)/power_n)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
!
end do
!
!
return
end subroutine powerslipreverse
!
!
!
!
!
!
!
subroutine sinhslipreverse(
+ Schmid, SchmidxSchmid, signtau,
+ abstau,tau, X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot,gammadot,
+ dtau_dgammadot, dgammadot_dtau, Pmat)
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8) :: dgammadot_dtau(nslip)
! variables used within this subroutine
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
! Unit conversion factor for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
Pmat = 0.
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
!
! alpha calculation
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
!
!
! beta calculation
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
beta = AV/KB/T
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! same burgers magnitude for first 1-6 and 25-30
! change only 7-24
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
! This is critical threshold
if (((abstau(is) >= tauc(is))
+ .AND. (xtau_norm(is) .GT. 0.0))
+ .OR. (absgammadot(is) .GT. 1.0e-6)) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau(is)-tauc(is)))
abstau(is)=tauc(is)+
+ (1/beta)*asinh(absgammadot(is)/alpha)
!
tau(is)=abstau(is)*signtau(is)
!
!
dtau_dgammadot(is,is) = 1/(alpha*beta*
+ sqrt(absgammadot(is)**2*alpha**-2+1))
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
end do
!
!
return
end subroutine sinhslipreverse
!
!
!
!
end module slipreverse
================================================
FILE: Example - Polycrytal with PROPS/straingradients.f
================================================
! Jan. 1st, 2023
! Eralp Demir
!
module straingradients
implicit none
!
contains
!
!
!
!
!
! GND model-1
! GND calculation using curl of (Fp) together with L2 approximation
! Cumulative (total) calculation of GNDs
! Shutting down non-active slip systems followed by singular value decompostion
! Proposed by Chris Hardie
subroutine gndmodel1
use userinputs, only : maxnslip,
+ gndhomogenization, gndthreshold
use globalvariables, only : numel, numdim, numpt, nnpel,
+ materialid, numslip_all, numscrew_all, screw_all,
+ slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip,
+ eijk, I3, statev_curvature, statev_Lambda, statev_gammasum,
+ statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t
use utilities, only: matvec9
implicit none
! Local variables
integer matid, nslip, nscrew
! Some variables are allotable since material type can vary hence
! the NUMBER OF SLIP SYSTEMS can alter within the mesh
real(8) :: burgerv(maxnslip)
real(8) :: gammasum(maxnslip)
integer :: screw(maxnslip)
real(8) :: slip2screw(maxnslip,maxnslip)
real(8) :: dirc_0(maxnslip,3)
real(8) :: trac_0(maxnslip,3)
!
real(8) :: dirs(maxnslip,3)
real(8) :: tras(maxnslip*2,3)
real(8) :: Bmat(maxnslip*2,9)
real(8) :: rhoGND(maxnslip*2)
real(8) :: drhoGND(maxnslip*2)
!
real(8) :: grad_invN(3,numpt), grad(3,3,3)
real(8) :: Lambda(3,3), sum, Lambda_vec(9)
real(8) :: kappa(3,3), kappa_vec(9), trace
!
real(8) :: Fp_ip(numpt,3,3)
real(8) :: gmatinv(3,3)
!
integer :: i, j, k, l
integer :: ie, ip, is
!
!
!
!
! Loop through the elements
do ie=1,numel
!
! Reset arrays
burgerv=0.; screw=0
dirc_0=0.; trac_0=0.
dirs=0.; tras=0.
slip2screw=0.
!
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw(1:nscrew) = screw_all(matid,1:nscrew)
!
! Slip to screw mapping
slip2screw(1:nscrew,1:nslip) =
+ slip2screw_all(matid,1:nscrew,1:nslip)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! undeformed slip direction
dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3)
!
! undeformed line direction
trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3)
!
!
! Store Fp for each IP
! Plastic part of the deformation gradient
Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3)
!
!
! Calculate the gradient of Fp
! Calculate the gradients using gradient operator
do ip = 1, numpt
!
!
! Reset arrays
Bmat=0.; rhoGND=0.; gammasum=0.
!
! Crystal to sample transformation matrix
gmatinv = statev_gmatinv_0(ie,ip,:,:)
!
!
! Slip rate per slip system
gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip)
!
!
do is = 1, nslip
! Transform slip directions to sample reference
dirs(is,:) = matmul(gmatinv, dirc_0(is,:))
!
! Transform line directions to sample reference
tras(is,:) = matmul(gmatinv, trac_0(is,:))
!
end do
!
!
! Calculate Bmatrix - using singular value decomposition
! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611.
call calculateBmatPINV(nslip,nscrew,
+ screw(1:nscrew), slip2screw(1:nscrew,1:nslip),
+ dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip),
+ gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9))
!
!
! Use gradients per integration point
if (gndhomogenization == 0) then
!
grad_invN = gradip2ip(ie,ip,:,:)
!
! Use the gradient at the element center
else
!
grad_invN = gradip2ip(ie,numpt+1,:,:)
!
end if
!
!
!
!
! grad(k,i,j) = Fp(i,j,k)
do k = 1,3
do j = 1,3
do i = 1,3
grad(k,i,j) =
+ dot_product(grad_invN(k,:),Fp_ip(:,i,j))
end do
end do
end do
!
!
! calculate curl
! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE
! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i)
! index "i" refers to the gradient direction
do k = 1,3
do l = 1,3
sum = 0.
do i = 1, 3
do j = 1, 3
sum = sum - eijk(i,j,k)*grad(i,l,j)
!! earlier version (no "-" sign)
! sum = sum + eijk(i,j,k)*grad(i,l,j)
end do
end do
Lambda(l,k) = sum
end do
end do
!
! Vectorize the incompatibility
call matvec9(Lambda,Lambda_vec)
!
!
! Assign the Incompatibility
statev_Lambda(ie,ip,:) = Lambda_vec
!
!
! Trace
trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3)
!
! Calculate curvature (negative transpose + trace term)
kappa = -transpose(Lambda) + I3 * trace / 2.
!
! Convert curvature to vector
call matvec9(kappa,kappa_vec)
!
!
! Assign curvature
statev_curvature(ie,ip,1:9) = kappa_vec(1:9)
!
!
!
!
! Reset arrays
rhoGND=0.; drhoGND=0.
!
! Compute the dislocation densities using L2 minimization
rhoGND(1:nslip+nscrew) =
+ matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec)
!
!
! Calculate the increment of GNDs
drhoGND(1:nslip+nscrew) =
+ rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew)
!
!
! Check for a threshold
do is = 1, nslip+nscrew
if (abs(drhoGND(is))nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
! L2 solution by KKT condition
! Assign zero initially
KKTmat = 0.
! Assign the identity part
do i = 1, nslip+nscrew
KKTmat(i,i)=2.
end do
!
! Assign A^T - upper right part
KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) =
+ transpose(Amat)
!
! Assign A - lower left part
KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) =
+ Amat
!
! Take the inverse
call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9)
!
! Set to zero if not invertible
if(any(BmatKKT /= BmatKKT)) then
! Set the outputs to zero initially
BmatKKT = 0.
! error message in .dat file
call error(10)
end if
!
!
!
!
!
!
return
end subroutine calculateBmatKKT
!
!
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv,
+ Bmat)
use utilities, only : nolapinverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: AmatAmatT(9,9)
real(8) :: invAmatAmatT(9,9)
real(8) :: s(3), l(3), b
integer :: i, j, is
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
!
!
!
!
! Other solution (former method)
! -----------------------------------------------
! This is preserved to check its validity
! Right pseudo inverse is used
! This is exactly the same as the inversion by singular value decomposition
! Compute the L2 coefficient
AmatAmatT = matmul(Amat,transpose(Amat))
!
! Take the inverse
call nolapinverse(AmatAmatT,invAmatAmatT,9)
!
!
! Compute Bmat
Bmat = matmul(transpose(Amat),invAmatAmatT)
!
! Set to zero if not invertible
if(any(Bmat /= Bmat)) then
! Set the outputs to zero initially
Bmat = 0.
! error message in .dat file
call error(10)
end if
!
!
!
return
end subroutine calculateBmat
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw,
+ dirs,tras,burgerv,gammadot,BmatPINV)
use userinputs, only: slipthreshold
use utilities, only: svdgeninverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip to screw mapping
real(8), dimension(nscrew,nslip), intent(in) :: slip2screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Cumulative slip per slip system
real(8), dimension(nslip), intent(in) :: gammadot
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: gdot_screw(nscrew)
! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew)
! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew)
real(8) :: s(3), l(3), b
integer :: i, j, is, err
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
end do
!
!
! Sum slip on each system sharing common screw types
gdot_screw= matmul(slip2screw,gammadot)
!
!
! Shut down the slip systems
! that have a cumulative slip
! less than 10^-10
! For edge type of dislocations
do is = 1, nslip
!
if (abs(gammadot(is)) cubicslipystem flag
! material-08: zirconium / hcp / phase-3
! material-09: berylium / hcp / phase-3 (not ready yet)
! material-10: alpha-uranium / alphauranium / phase-4
! material-11: copper / UKAEA / Vikram Phalke
! material-12: CuCrZr / UKAEA / Vikram Phalke
!
!
!
! **********************************************
! ** MATERIALPARAMETERS sets the material **
! ** constants for elasticity and plasticity **
! **********************************************
subroutine materialparam(imat,temperature,
+ iphase,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,rhofor_0,rhosub_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
use errors, only : error
use userinputs, only : maxnslip, maxnparam
implicit none
!
! material id
integer, intent(in) :: imat
!
!
! current temperature in Kelvins
real(8), intent(in) :: temperature
!
! phase id
! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium
integer, intent(out) :: iphase
!
! number of slip systems
integer, intent(out) :: nslip
!
! number of screw systems
integer, intent(out) :: nscrew
!
! c/a ratio for hcp crystals
real(8), intent(out) :: caratio
!
! cubic slip for fcc superalloys
integer, intent(out) :: cubicslip
!
! elastic stiffness matrix in the crystal reference frame
real(8), intent(out) :: Cc(6,6)
!
! shear modulus for Taylor's dislocation law
real(8), intent(out) :: G12
!
! Poisson's ratio
real(8), intent(out) :: v12
!
! geometric factor for obstacle strength
real(8), intent(out) :: gf
!
! thermal eigenstrain to model thermal expansion
real(8), intent(out) :: alphamat(3,3)
!
! burgers vectors
real(8), intent(out) :: burgerv(maxnslip)
!
! critical resolved shear stress of slip systems
real(8), intent(out) :: tauc_0(maxnslip)
!
! initial ssd dislocation density
real(8), intent(out) :: rho_0(maxnslip)
!
! initial forest dislocation density
real(8), intent(out) :: rhofor_0
!
! initial substructure dislocation density
real(8), intent(out) :: rhosub_0
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, intent(out) :: slipmodel
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: slipparam(maxnparam)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K]
!
!
! Creep model identifier
! 0: no creep
! 1: exponential creep law
! Default value is set to 0
integer, intent(out) :: creepmodel
! Creep parameters
! Array size adjustable
real(8), intent(out) :: creepparam(maxnparam)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Voce type hardening
! 2: Linear hardening
! 3: Kocks-Mecking hardening
! 4: Kocks-Mecking hardening with substructure
! Default value is set to 0
integer, intent(out) :: hardeningmodel
! Hardening parameters
! Array size adjustable
real(8), intent(out) :: hardeningparam(maxnparam)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, intent(out) :: irradiationmodel
! Irradiation model parameters
! Array size adjustable
real(8), intent(out) :: irradiationparam(maxnparam)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(out) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(out) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8), intent(out) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8), intent(out) :: hintmat2(maxnslip,maxnslip)
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: backstressparam(maxnparam)
!
! burgers vector scalars
real(8) :: burger1, burger2
!
! elastic constants scalars
real(8) :: e1, e2, e3, g13, v13
real(8) :: g23, v23, v21, v31, v32
!
! critical resolved shear stress
real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5
!
! thermal expansion coefficients
real(8) :: alpha1, alpha2, alpha3
!
! temperature in celsius
real(8) :: tcelsius
!
real(8) :: C11, C12, C44, cst
!
! local variable for identity martrix
real(8) :: kdelta(maxnslip,maxnslip), q1, q2
!
integer :: i, j, k, is, js
!
!
!
! Set potentially unassigned parameters to zero
! Slip parameters
slipparam = 0.
! Creep parameters
creepparam = 0.
! Hardening parameters
hardeningparam = 0.
! Irradiation parameters
irradiationparam = 0.
! Backstress parameters
backstressparam = 0.
!
!
! Interaction matrices
! Initially set all to zero
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
!
!
!
! Temperature in Celcius
tcelsius = temperature - 273.15
!
!
!
!
!
!
!
!
!
! select crystal type
select case(imat)
!
! custom material - bcc (i.e. ferrite)
! no temperature dependence
case(1)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy
slipparam(5) = 4.646312d-20
! nu0 - attempt frequency
slipparam(6) = 1.0d+11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! Activation volume (factor of Burgers vector^3)
slipparam(8) = 1.
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 60.
! xtauc1 = 45.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! custom material - fcc (i.e. copper)
! no temperature dependence
case(2)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 3
!
! copper
! Slip model parameters
slipparam(1) = 1.0d-3
! rate sensitivity exponent
! slipparam(2) = 83.333
slipparam(2) = 20.
!
!! Inverse slip test parameters
!! Slip model parameters
! slipparam(1) = 1.0d-9
!! rate sensitivity exponent
! slipparam(2) = 13.
!
!! steel
!! Slip model parameters
! slipparam(1) = 1.0d-3
!! rate sensitivity exponent
! slipparam(2) = 7.143
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
!! steel
! xtauc1 = 32.
!
! Copper
xtauc1 = 16.
!
!! Inverse slip test parameter
! xtauc1 = 32.
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
! Example elastic modulus values
! **********************************************************
!
! copper
! "Texture and Anisotropy",
! Cambridge University Press, 1998, page 300
! C11=168.0d3
! C12=121.4d3
! C44=75.4d3
!
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=166.1d3
! C12=199.0d3 wrong! correct value: 119.0d3
! C44=75.6d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=168.3d3
! C12=122.1d3
! C44=75.7d3
!
! aluminum
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=107.3d3
! C12=60.9d3
! C44=28.3d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=106.75d3
! C12=60.41d3
! C44=28.34d3
!
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=106.43d3
! C12=60.35d3
! C44=28.21d3
!
! steel-austenite
! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005
! page 1765, Eq. (37)
! C11=268.5d3
! C12=156.d3
! C44=136.d3
!
! steel
! C11=204.6d3
! C12=137.7d3
! C44=126.6d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 1
!
!! Kocks-Mecking hardening with substructure evolution
!! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!!
!! hardening model
! hardeningmodel = 4
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!! q - substructure
! hardeningparam(7) = 4.
!! f - substructure
! hardeningparam(8) = 20.
!! ksub - substructure
! hardeningparam(9) = 0.086
!
!
!! Inverse slip test parameter
! hardeningmodel = 0
!
!
! copper
! Hardening rate - h0
hardeningparam(1)=250.
! Saturation strength for slip - ss
hardeningparam(2)=190.
! Hardening exponent - a
hardeningparam(3)=2.5
! Latent hardening coefficient - q
hardeningparam(4)=1.4
!
!
!! steel
!! Hardening rate - h0
! hardeningparam(1)=217.8
!! Saturation strength for slip - ss
! hardeningparam(2)=257.
!! Hardening exponent - a
! hardeningparam(3)=2.5
!! Latent hardening coefficient - q
! hardeningparam(4)=1.1
!
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
!!
! Backstress parameter
backstressparam(1) = 0.25
!
! custom material - hcp (i.e. zirconium)
! no temperature dependence
case(3)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! fraction of mobile dislocations
slipparam(3) = 1.
! reference mobile dislocations (1/micrometer^2)
slipparam(4) = 0.01
! activation energy for slip (J)
slipparam(5) = 5.127d-20
! attempt frequency
slipparam(6) = 1.d11
! scaling for jump distance
slipparam(7) = 1.
! activation volume
slipparam(8) = 20.93
!
!
!
! Geometric factor (0.1-0.5)
gf = 0.22364
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 30
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 10.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 3.2d-4
burger2 = 6.0d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 98.32d3
e3 = 123.28d3
g12 = 32.01d3
v12 = 0.40
v13 = 0.24
!
! crss [MPa]
xtauc1 = 187.7 ! basal
xtauc2 = 140.8 ! prismatic
xtauc3 = 140.8 ! pyramidal
xtauc4 = 489.8 ! pyramidal-1
xtauc5 = 2449.1 ! pyramidal-2
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g13 = e3/(1.+v13)/2.
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:30) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc3
tauc_0(13:24) = xtauc4
tauc_0(25:30) = xtauc5
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
! linear hardening
hardeningmodel = 2
! hardening parameter (1/micrometer^2)
hardeningparam(1) = 2600.
!
! irradiation model
irradiationmodel = 2
! Irradiation parameters
! Number of different types of defects
irradiationparam(1) = 3.
! Number density of defects (1/micrometer^3)
irradiationparam(2:4) = 2.033d+4
! size of defects (micrometer)
irradiationparam(5:7) = 1.4d-3
! defect vectors (crystallographic directions)
irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /)
! Strength interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(11) = 1.25
! when a not equals 0
irradiationparam(12) = 1.875
! Hardening (Softening) interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(13) = 0.5
! when a not equals 0
irradiationparam(14) = 0.
!
!
!
!
!
! tungsten - bcc
case(4)
!
! Phase id
iphase = 1
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Burgers vectors [micrometers]
burger1 = 2.74d-4
!
! Slip model parameters
! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.0159
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy to overcome Pierls barrier
slipparam(5) = 3.524788e-20
! nu0 - attempt frequency
slipparam(6) = 1.0d11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! AV0
slipparam(8) = 0.
!
! Geometric factor (0.1-0.5)
gf = 0.1
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 4
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 360.0 ! 900 MPa in the reference
!
! elastic constants [MPa]
e1 = 421d3
g12 = 164.4d3
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 2
hardeningparam(1) = 1000.
!
! irradiation model
irradiationmodel = 1
! irradiation parameters
! initial strength
irradiationparam(1) = 750.
! solute strength saturation strain
irradiationparam(2) = 0.025
! factor for mobile density
irradiationparam(3) = 3.457d-2
!
!
!
!
! copper - fcc
case(5)
!
! Phase id
iphase = 2
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.02
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 6
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 20.0
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! Burgers vectors [micrometers]
burger1 = 2.55d-4
!
! elastic constants [MPa]
e1 = 66.69d3
v12 = 0.4189
g12 = 75.4d3
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! thermal expansion coefficients
alpha1 = 13.0d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
burgerv(1:nslip)=burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
!
! hardening model
hardeningmodel = 0
!
!
! irradiation model
irradiationmodel = 0
!
!
!
! carbide - fcc
case(6)
!
! Phase id
iphase = 2
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d-3
! Rate sensitivity exponent
slipparam(2) = 50
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 2300.0
!
! Burgers vectors [micrometers]
burger1 = 3.5072d-4
!
! elastic constants [MPa]
e1 = 207.0d4
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 4.5d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
! elastic constants based on crystal symmetry
e3 = e1
e2 = e1
v13 = v12
v23 = v12
g12 = e1/(2.0*(1.0+v12))
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
!
! CMSX-4 - fcc + cubic
case(7)
!
! Phase id
iphase = 2
!
! Slip model
! Double exponent law
slipmodel = 2
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d7
! Inner exponent
slipparam(2) = 0.78
! Outer exponent
slipparam(3) = 1.15
! Activation energy for octahedral slip (J)
slipparam(4) = 9.39d-19
! Activation energy for cubic slip (J)
slipparam(5) = 1.17d-18
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! Screw systems
nscrew = 6
!
!
!
! number of slip systems
if (cubicslip == 0) then
nslip = 12
elseif (cubicslip == 1) then
nslip = 18
else
call error(3)
end if
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! crss [MPa]
if (tcelsius <= 850.0) then ! temperature in celsius
!
tauc_0=-0.000000001051*tcelsius**4 +
+ 0.000001644382*tcelsius**3 -
+ 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius +
+ 446.547978926622
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.000000001077*tcelsius**4 +
+ 0.000001567820*tcelsius**3 -
+ 0.000686532147*tcelsius**2 -
+ 0.074981918833*tcelsius +
+ 571.706771689334
!
end if
!
else
!
tauc_0=-1.1707*tcelsius + 1478.9
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.9097*tcelsius + 1183
!
end if
!
end if ! end temperature check
!
! tcelsius dependent stiffness constants [MPa]
if (tcelsius <= 800.0) then ! celsius units
!
c11=-40.841*tcelsius+251300
c12=-14.269*tcelsius+160965
!
else
!
c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0
c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 -
+ 1537.5*tcelsius+716000
!
end if ! end temperature check
!
g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 -
+ 38.3179*tcelsius+129864
!
e1 = (c11-c12)*(c11+2*c12)/(c11+c12)
v12 = e1*c12/((c11-c12)*(c11+2*c12))
!
! temperature dependent thermal expansion coefficient
alpha1 = 9.119d-9*tcelsius +1.0975d-5
!
! Eralp: Burgers vector was not defined for this
burger1=2.56d-4
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 1
!
! hardening model
hardeningmodel = 0
!
! creep parameters
! reference rate for creep (1/s)
creepparam(1) = 4.0d+8
! stress multiplier for creep (1/MPa)
creepparam(2) = 3.2d-2
! activation energy for creep (J/mol)
creepparam(3) = 460000.
! reference rate for damage (1/s)
creepparam(4) = 6.0d6
! stress multiplier for damage (1/MPa)
creepparam(5) = -5.0d-8
! activation energy for damage (J/mol)
creepparam(6) = 340000.
!
! irradiation model
irradiationmodel = 0
!
!
! zirconium - hcp
case(8)
!
! Phase id
iphase = 3
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 15.2 ! basal
xtauc2 = 67.7 ! prismatic
xtauc4 = 2000.0 ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Material constants by Alvaro Martinez Pechero
! Berilyum - hcp
case(9)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 3
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 20.2 ! basal
xtauc2 = 88.7 ! prismatic
xtauc4 = 188. ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger1
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
! alpha-uranium - alphauranium
case(10)
!
! Phase id
iphase = 4
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! reference strain rate
slipparam(1) = 1.0d-3
! rate sensitivity exponent
slipparam(2) = 20.
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 8
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burgerv(1:2) = 2.85d-4
burgerv(3:4) = 6.51d-4
burgerv(5:8) = 11.85d-4
!
! constant factor tau_0^alpha for crss [MPa]
! calhoun 2013 values
! with temperature dependence as in zecevic 2016
! added after hardening is included
tauc_0(1) = 24.5
tauc_0(2) = 85.5
tauc_0(3) = 166.5
tauc_0(4) = 166.5
tauc_0(5) = 235.0
tauc_0(6) = 235.0
tauc_0(7) = 235.0
tauc_0(8) = 235.0
!
!
!
! elastic moduli [MPa] and poissons ratios
! see prs literature review by philip earp
! short crack propagation in uranium, an anisotropic polycrystalline metal
! temperature dependence according to daniel 1971
e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0))
e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0))
e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0))
v12 = 0.242363
v13 = -0.016293
v23 = 0.387816
g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0))
g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0))
g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0))
!
! define thermal expansion coefficients as a function of temperature
! lloyd, barrett, 1966
! thermal expansion of alpha uranium
! journal of nuclear materials 18 (1966) 55-59
alpha1 = 24.22d-6 - 9.83d-9 * temperature +
+ 46.02d-12 * temperature * temperature
alpha2 = 3.07d-6 + 3.47d-9 * temperature -
+ 38.45d-12 * temperature * temperature
alpha3 = 8.72d-6 + 37.04d-9 * temperature +
+ 9.08d-12 * temperature * temperature
!
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
! UKAEA - Vikram Phalke
! copper - fcc
! no temperature dependence
case(11)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! Copper
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 5
!
!
!
!
!
! copper
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! UKAEA - Vikram Phalke
! CuCrZr - fcc
! no temperature dependence
case(12)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density [1/micrometer^2]
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! CuCrZr
xtauc1 = 84.6
!
!
! Burgers vectors [micrometer]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model (KM with precipitates)
hardeningmodel = 5
!
!
!
!
!
! CuCrZr
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
! Parameters related to precipitate strengthening
! Geometric/Strength factor for precipitates
hardeningparam(5)=0.08
! Number density of precipitates [1/micrometer^3]
hardeningparam(6)=1.76d6
! Particle diameter [micrometer]
hardeningparam(7)=3.2d-3
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
!
case default
!
call error(1)
!
end select
!
! *** set up elastic stiffness matrix in lattice system ***
! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11
! however, the voigt notation in abaqus for strain and stress vectors
! has the following order:
! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23)
! Calculate the remaining Poisson's ratios
v21 = e2/e1*v12
v31 = e3/e1*v13
v32 = e3/e2*v23
!
! constant as a factor
cst = 1./(1.-v12*v21-v23*v32-v31*v13
+ -2.*v21*v32*v13)
!
Cc=0.
Cc(1,1) = e1*(1.-v23*v32)*cst
Cc(2,2) = e2*(1.-v13*v31)*cst
Cc(3,3) = e3*(1.-v12*v21)*cst
Cc(1,2) = e1*(v21+v31*v23)*cst
Cc(1,3) = e1*(v31+v21*v32)*cst
Cc(2,3) = e2*(v32+v12*v31)*cst
Cc(4,4) = g12
Cc(5,5) = g13
Cc(6,6) = g23
!
! symmetrize compliance matrix
Cc(2,1) = Cc(1,2)
Cc(3,1) = Cc(1,3)
Cc(3,2) = Cc(2,3)
!
!
!
! define thermal eigenstrain in the lattice system
alphamat=0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
!
!
return
!
end subroutine materialparam
!
!
!
!
!
end module usermaterials
================================================
FILE: Example - Polycrytal with PROPS/useroutputs.f
================================================
! Nov. 11th, 2022
! Eralp Demir
!
! This is written to define the outputs for post-processing
!
module useroutputs
implicit none
!
!
! GLOBAL VARIABLES USED IN POST-PROCESSING
! -------------------------------------------------------------------------------
!
! Flags for different outputs (22-30 custom outputs)
integer, public :: statev_outputs(30)
!
! Set the desired outputs by setting 0 / 1
! in the "defineoutputs" subroutine in the below!
!
!
!
! Number of outputs - will be computed
integer, public :: nstatv_outputs
!
!
! -------------------------------------------------------------------------------
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine defineoutputs
!
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
! Variables used in the subroutine
integer :: i, ind
!
!
! List of variables
! Set the flag to "1" if requested
!
! 1st State-variable output / number of outputs: 9
! Crystal to Sample tranformation: statev_gmatinv
statev_outputs(1) = 0
!
! 2nd State-variable output / number of outputs: 1
! Equivalent Von-Mises plastic total strain: statev_evmp
statev_outputs(2) = 0
!
! 3rd State-variable output / number of outputs: 1
! Maximum ratio of rss to crss: statev_maxx
statev_outputs(3) = 0
!
! 4th State-variable output / number of outputs: 6
! Elastic strains in the crystal frame: statev_Eec
statev_outputs(4) = 0
!
! 5th State-variable output / number of outputs: 9
! Lattice curvature: statev_curvature
statev_outputs(5) = 0
!
! 6th State-variable output / number of outputs: 1
! Total statistically-stored dislocation density: statev_ssdtot
statev_outputs(6) = 0
!
! 7th State-variable output / number of outputs: 1
! Substructure dislocation density: statev_substructure
statev_outputs(7) = 0
!
! 8th State-variable output / number of outputs: 1
! Solute strength: statev_tausolute
statev_outputs(8) = 0
!
! 9th State-variable output / number of outputs: 1
! Cumulative slip: statev_totgammasum
statev_outputs(9) = 0
!
! 10th State-variable output / number of outputs: maxnslip
! Total slip per slip system: statev_gammasum
statev_outputs(10) = 1
!
! 11th State-variable output / number of outputs: maxnslip
! Slip rate: statev_gammadot
statev_outputs(11) = 0
!
! 12nd State-variable output / number of outputs: maxnslip
! Critical Resolved Shear Stress: statev_tauc
statev_outputs(12) = 0
!
! 13rd State-variable output / number of outputs: maxnslip
! Statistically-Stored Dislocation Density: statev_ssd
statev_outputs(13) = 0
!
! 14th State-variable output / number of outputs: maxnslip*2
! Geometrically Necessary Dislocation Density: statev_gnd
statev_outputs(14) = 0
!
! 15th State-variable output / number of outputs: maxnslip
! Foresty Dislocation Density: statev_forest
statev_outputs(15) = 0
!
! 16th State-variable output / number of outputs: maxnloop
! Defect Loop Density: statev_loop
statev_outputs(16) = 0
!
! 17th State-variable output / number of outputs: maxnslip
! Backstress: statev_backstress
statev_outputs(17) = 0
!
! 18th State-variable output / number of outputs: 1
! Total GND density
statev_outputs(18) = 0
!
! 19th State-variable output / number of outputs: 1
! Plastic dissipation power density
statev_outputs(19) = 0
!
! 20st State-variable output / number of outputs: 1
! Fatemi Socie parameter
statev_outputs(20) = 0
!
! 21-30 custom outputs
! Need to be defined here!
statev_outputs(21) = 0
statev_outputs(22) = 0
statev_outputs(23) = 0
statev_outputs(24) = 0
statev_outputs(25) = 0
statev_outputs(26) = 0
statev_outputs(27) = 0
statev_outputs(28) = 0
statev_outputs(29) = 0
statev_outputs(30) = 0
!
!
!
!
!
!
!
! Count the user-defined outputs
nstatv_outputs=0
! Find the total number of state variable outputs
if (statev_outputs(1)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(2)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(3)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(4)==1) then
nstatv_outputs=nstatv_outputs+6
endif
if (statev_outputs(5)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(6)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(7)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(8)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(9)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(10)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(11)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(12)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(13)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(14)==1) then
nstatv_outputs=nstatv_outputs+maxnslip*2
endif
if (statev_outputs(15)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(16)==1) then
nstatv_outputs=nstatv_outputs+maxnloop
endif
if (statev_outputs(17)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(18)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(19)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(20)==1) then
nstatv_outputs=nstatv_outputs+1
endif
!
!
! Custom outputs need to be filled here!
!
!
!
!
!
end subroutine defineoutputs
!
!
!
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine checkoutputs(nstatv)
use errors, only: error
implicit none
! Number of state variables
integer, intent(in) :: nstatv
!
! Check if defined correctly
if (nstatv_outputs > nstatv) then
write(*,*) 'There are ',
+ nstatv_outputs, ' number of outputs!'
write(*,*) 'But, ',
+ nstatv, ' number of outputs were defined in DEPVAR!'
! error message in .dat file
call error(6)
end if
!
end subroutine checkoutputs
!
!
!
!
!
!
!
subroutine write_statev_legend
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
integer count, i
character*2 ij
!
! Write the legend of the output variables (nstatv)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maximum ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: cumulative slip (x1)
! 10: total slip per slip system (x maxnslip)
! 11: slip rates per slip system (x maxnslip)
! 12: CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: GND density (x1)
! 19: Plastic dissipation power density (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
!
!
!
!
count = 0
open(100,file='../STATEV_legend.txt',action='write',
+ status='replace')
!
!
!
!
!
!
!
! State variable-1
if (statev_outputs(1) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A37,A2,A4)')
+ 'STATEV-', count,
+ ': Crystal to Sample transformation -', ij, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-2
if (statev_outputs(2) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A39,A4)')
+ 'STATEV-', count,
+ ': Equivalent Von-Mises plastic strain', ' [-]'
!
!
!
!
endif
!
!
! State variable-3
if (statev_outputs(3) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A32,A4)')
+ 'STATEV-', count,
+ ': Maximum ratio of rss to crss', ' [-]'
!
!
!
!
endif
!
!
!
! State variable-4
if (statev_outputs(4) == 1) then
!
do i = 1, 6
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'yy'
case(3)
ij = 'zz'
case(4)
ij = 'xy'
case(5)
ij = 'xz'
case(6)
ij = 'yz'
!
end select
!
!
!
write(100,'(A7,I3,A36,A2,A6)')
+ 'STATEV-', count,
+ ': Elastic strain in crystal frame-', ij, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
!
! State variable-5
if (statev_outputs(5) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A21,A2,A15)')
+ 'STATEV-', count,
+ ': Lattice curvature', ij, ' [1/micrometer]'
!
end do
!
!
endif
!
!
!
!
!
!
!
!
!
! State variable-6
if (statev_outputs(6) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': total SSD density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
!
! State variable-7
if (statev_outputs(7) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A24,A17)')
+ 'STATEV-', count,
+ ': substructure density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-8
if (statev_outputs(8) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A19,A6)')
+ 'STATEV-', count,
+ ': solute strength', ' [MPa]'
!
!
!
!
endif
!
!
! State variable-9
if (statev_outputs(9) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A19,A4)')
+ 'STATEV-', count,
+ ': cumulative slip', ' [-]'
!
!
!
!
endif
!
!
!
!
! State variable-10
if (statev_outputs(10) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A4)')
+ 'STATEV-', count,
+ ': Total slip on slip system-', i, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-11
if (statev_outputs(11) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A29,I2,A6)')
+ 'STATEV-', count,
+ ': Slip rate of slip system-', i, ' [1/s]'
!
end do
!
!
endif
!
!
! State variable-12
if (statev_outputs(12) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A24,I2,A6)')
+ 'STATEV-', count,
+ ': CRSS on slip system-', i, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
! State variable-13
if (statev_outputs(13) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': SSD density of slip system-', i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
!
!
! State variable-14
if (statev_outputs(14) == 1) then
!
do i = 1, maxnslip*2
!
count = count + 1
!
! Edge dislocation
if (i <= maxnslip) then
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Edge dislocation density-', i, ' [1/micrometer^2]'
!
else
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]'
!
end if
!
!
end do
!
!
endif
!
!
! State variable-15
if (statev_outputs(15) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Forest dislocation density of slip system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-16
if (statev_outputs(16) == 1) then
!
do i = 1, maxnloop
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Loop dislocation density of defect system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-17
if (statev_outputs(17) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A6)')
+ 'STATEV-', count,
+ ': Backstress on slip system-',
+ i, ' [MPa]'
!
end do
!
!
endif
!
! State variable-18
if (statev_outputs(18) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': Total GND density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-19
if (statev_outputs(19) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A37,A5)')
+ 'STATEV-', count,
+ ': Plastic dissipation power density', ' [nW]'
!
!
!
!
endif
!
! State variable-20
if (statev_outputs(20) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A26,A4)')
+ 'STATEV-', count,
+ ': Fatemi Socie parameter', ' [-]'
!
!
!
!
endif
!
close(100)
!
!
!
!
!
!
return
end subroutine write_statev_legend
!
!
!
!
!
!
!
subroutine assignoutputs(noel,npt,nstatv,statev)
use globalvariables, only: statev_gmatinv,
+ statev_evmp, statev_maxx, statev_Eec,
+ statev_curvature, statev_backstress_t,
+ statev_ssdtot, statev_substructure,
+ statev_tausolute, statev_totgammasum,
+ statev_gammasum, statev_gammadot,
+ statev_tauceff, statev_ssd, statev_loop, statev_gnd_t,
+ statev_forest, statev_plasdiss
use userinputs, only: maxnslip, maxnloop
use utilities, only: matvec9
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of state variables
integer, intent(in) :: nstatv
! Values of state variables
real(8), intent(inout) :: statev(nstatv)
! Other variables
integer :: i, j
real(8) :: d6(6), d9(9), d1
real(8) :: gnd(maxnslip*2)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maxium ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: Cumulative slip (x1)
! 10: Total slip per slip system (x maxnslip)
! 11: Slip rates per slip system (x maxnslip)
! 12: Effective CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop density (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: Total GND density (x1)
! 19: Plastic dissipation (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
! Reset the counter
i=0
!
! State variable-1
! Transformation matrix from crystal to sample (x9)
if (statev_outputs(1)==1) then
!
!
!
call matvec9(statev_gmatinv(noel,npt,:,:),d9)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
end if
!
!
!
! State variable-2
! Equivalent Von-Mises plastic strain (x1)
if (statev_outputs(2)==1) then
!
i = i + 1
statev(i) = statev_evmp(noel,npt)
!
end if
!
!
! State variable-3
! Maxium ratio of rss to crss (x1)
if (statev_outputs(3)==1) then
!
i = i + 1
statev(i) = statev_maxx(noel,npt)
!
end if
!
!
! State variable-4
! Elastic strain in crystal frame (x6)
if (statev_outputs(4)==1) then
!
!
do j = 1, 6
i = i + 1
statev(i) = statev_Eec(noel,npt,j)
end do
!
!
end if
!
!
! State variable-5
! Lattice curvature (x9)
if (statev_outputs(5)==1) then
!
d9 = statev_curvature(noel,npt,:)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
!
end if
!
!
! State variable-6
! SSD total (x1)
if (statev_outputs(6)==1) then
!
i = i + 1
statev(i) = statev_ssdtot(noel,npt)
!
end if
!
!
!
! State variable-7
! Substructure density (x1)
if (statev_outputs(7)==1) then
!
i = i + 1
statev(i) = statev_substructure(noel,npt)
!
end if
!
!
! State variable-8
! Solute strength (x1)
if (statev_outputs(8)==1) then
!
i = i + 1
statev(i) = statev_tausolute(noel,npt)
!
end if
!
!
! State variable-9
! Cumulative slip (x1)
if (statev_outputs(9)==1) then
!
i = i + 1
statev(i) = statev_totgammasum(noel,npt)
!
end if
!
!
! State variable-10
! Total slip per slip system (x maxnslip)
if (statev_outputs(10)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammasum(noel,npt,j)
end do
!
end if
!
!
! State variable-11
! Slip rates per slip system (x maxnslip)
if (statev_outputs(11)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammadot(noel,npt,j)
end do
!
end if
!
! State variable-12
! CRSS (x maxnslip)
if (statev_outputs(12)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_tauceff(noel,npt,j)
end do
!
end if
!
!
! State variable-13
! SSD (x maxnslip)
if (statev_outputs(13)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_ssd(noel,npt,j)
end do
!
end if
!
!
! State variable-14
! GND (x maxnslip)
if (statev_outputs(14)==1) then
!
do j = 1, maxnslip*2
i = i + 1
statev(i) = statev_gnd_t(noel,npt,j)
end do
!
end if
!
!
! State variable-15
! Forest density (x maxnslip)
if (statev_outputs(15)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_forest(noel,npt,j)
end do
!
end if
!
! State variable-16
! Loop density (x maxnloop)
if (statev_outputs(16)==1) then
!
do j = 1, maxnloop
i = i + 1
statev(i) = statev_loop(noel,npt,j)
end do
!
end if
!
!
! State variable-17
! Backstress (x maxnslip)
if (statev_outputs(17)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_backstress_t(noel,npt,j)
end do
!
end if
!
! State variable-18
! GND total (x1)
if (statev_outputs(18)==1) then
!
i = i + 1
gnd = statev_gnd_t(noel,npt,1:2*maxnslip)
statev(i) = sqrt(sum(gnd*gnd))
!
end if
!
! State variable-19
! Plastic dissipation power density (x1)
if (statev_outputs(19)==1) then
!
i = i + 1
statev(i) = statev_plasdiss(noel,npt)
!
end if
!
! State variable-20
! Fatemi Socie parameter (x1)
if (statev_outputs(20)==1) then
!
i = i + 1
call FatemiSocie_parameter(noel,npt,d1)
statev(i) = d1
!
end if
!
!
! Custom state variables 21-30
! Please add custom outputs here!
!
!
!
!
return
end subroutine assignoutputs
!
!
!!
!
!
!
! Subroutine to calculate Fatemi Socie parameter
subroutine FatemiSocie_parameter(noel,npt,FSp)
use userinputs, only: maxnslip
use globalvariables, only: statev_sigma, statev_gammasum,
+ statev_gmatinv, statev_tauceff, materialid, norc_0_all
use utilities, only: vecmat6
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: FSp
! Variables used in the subroutine
real(8) :: sig6(6), sig3x3(3,3)
real(8) :: gammasum(maxnslip)
real(8) :: gmatinv(3,3)
real(8) :: tauceff(maxnslip), tauceffmax
integer :: matid
real(8) :: norc(3), nors(3)
real(8) :: shmax, sigmax, k
integer :: ismax, is, i, j
!
! Input parameter "k"
! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003
k = 0.5
!
!
FSp=0.
sig6 = statev_sigma(noel,npt,:)
gammasum = statev_gammasum(noel,npt,:)
gmatinv = statev_gmatinv(noel,npt,:,:)
tauceff = statev_tauceff(noel,npt,:)
matid = materialid(noel,npt)
!
!
! Find maximum slip
shmax=0.
do is=1,maxnslip
if (abs(gammasum(is)).gt.shmax) then
shmax = abs(gammasum(is))
ismax = is
end if
end do
!
! Maximum CRSS
tauceffmax = tauceff(ismax)
!
! Slip plane normal of maximum slip
norc = norc_0_all(matid,ismax,:)
!
! Transform to sample reference
nors = matmul(gmatinv,norc)
!
! Convert stress to 3x3 matrix
call vecmat6(sig6,sig3x3)
!
! Project stress to the slip plane of maximum slip
sigmax = 0.
do i = 1, 3
do j = 1, 3
sigmax = sigmax +
+ nors(i)*sig3x3(i,j)*nors(j)
end do
end do
!
! Parameter calculation
FSp = shmax/2.*(1.+k*sigmax/tauceffmax)
!
!
return
end subroutine FatemiSocie_parameter
!
!
!
end module useroutputs
================================================
FILE: Example - Polycrytal with PROPS/utilities.f
================================================
! *************************************************
! *************************************************
! * UTILITY SUBROUTINES *
! *************************************************
! *************************************************
! Updated on Sept 23rd, 2022
! Reorganized by Eralp Demir
! Converged into a module file
! Function trace is written as a subroutine
!
!
module utilities
implicit none
contains
!
!
! *************************************************
! * TRACE OF A 3X3 MATRIX *
! *************************************************
subroutine trace3x3(a,aii)
implicit none
real(8), intent(in) :: a(3,3)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)+a(3,3)
!
return
end subroutine trace3x3
!
!
!
! *************************************************
! * TRACE OF A2X2 MATRIX *
! *************************************************
subroutine trace2x2(a,aii)
implicit none
real(8), intent(in) :: a(2,2)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)
!
return
end subroutine trace2x2
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine vecmat9(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(9)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
dmout(1,1) = dvin(1)
dmout(1,2) = dvin(2)
dmout(1,3) = dvin(3)
!
dmout(2,1) = dvin(4)
dmout(2,2) = dvin(5)
dmout(2,3) = dvin(6)
!
dmout(3,1) = dvin(7)
dmout(3,2) = dvin(8)
dmout(3,3) = dvin(9)
!
return
end subroutine vecmat9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine matvec9(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(9)
integer :: i
!
dvout(1) = dmin(1,1)
dvout(2) = dmin(1,2)
dvout(3) = dmin(1,3)
!
dvout(4) = dmin(2,1)
dvout(5) = dmin(2,2)
dvout(6) = dmin(2,3)
!
dvout(7) = dmin(3,1)
dvout(8) = dmin(3,2)
dvout(9) = dmin(3,3)
!
return
end subroutine matvec9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! *************************************************
subroutine matvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = (dmin(1,2)+dmin(2,1))/2.
dvout(5) = (dmin(1,3)+dmin(3,1))/2.
dvout(6) = (dmin(2,3)+dmin(3,2))/2.
!
return
end subroutine matvec6
!
!
! *************************************************
! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX *
! *************************************************
!
subroutine vecmat6(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(6)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
do i=1,3
dmout(i,i) = dvin(i)
end do
!
dmout(1,2) = dvin(4)
dmout(2,1) = dvin(4)
dmout(1,3) = dvin(5)
dmout(3,1) = dvin(5)
dmout(3,2) = dvin(6)
dmout(2,3) = dvin(6)
!
return
end subroutine vecmat6
!
!
! *************************************************
! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
! *************************************************
subroutine vecprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2)
dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3)
dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1)
!
return
end subroutine vecprod
!
!
! *************************************************
! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 *
! *************************************************
subroutine dotprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3)
dvout = abs(dvout)
!
return
end subroutine dotprod
!
!
! ****************************************************
! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! ****************************************************
! Off-diagonal terms are doubled!
! This is valid for shear conversion only!
subroutine gmatvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = dmin(1,2)+dmin(2,1)
dvout(5) = dmin(3,1)+dmin(1,3)
dvout(6) = dmin(2,3)+dmin(3,2)
!
return
end subroutine gmatvec6
!
! *************************************************
! * INVERSE OF A MATRIX WITH LAPACK *
! *************************************************
! Checked inverse against python's numpy.linalg.inv
subroutine lapinverse(xmatin,m,info,xmatout)
implicit none
!
integer,intent(in) :: m
real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:)
!
integer,parameter :: lwork = 64
real(8),parameter :: zero=1.0d-12
integer :: i,j
!
integer,intent(out) :: info
real(8),intent(out) :: xmatout(m,m)
integer :: ipiv(m)
real(8) :: a(m,m)
real(8) :: work(lwork)
!
!
! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6
!
! EXTERNAL DGETRI, DGETRF
!
!
!
xmatout = 0.
! ED: I have added to run this
! The next line shall be removed
info=1
!
a = xmatin !don't input array xmatin
!
! call DGETRF( m, m, a, m, ipiv, info )
!
if(info == 0) then
! call DGETRI( m, a, m, ipiv, work, lwork, info )
!write(*,*) "work(1) == min lwork needed", work(1)
else
xmatout = 0.
! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse"
end if
!
do i=1,m;
do j=1,m;
if (abs(a(i,j))<= zero) a(i,j) = 0.
end do
end do
xmatout = a
!
!
!
!
return
end subroutine lapinverse
!
!
!
!
! ****************************************************
! * INVERSE OF A MATRIX WITHOUT LAPACK *
! ****************************************************
!
subroutine nolapinverse(ain,c,n)
! ============================================================
! Inverse matrix
! Method: Based on Doolittle LU factorization for Ax=b
! Alex G. December 2009
! -----------------------------------------------------------
! input ...
! a(n,n) - array of coefficients for matrix A
! n - dimension
! output ...
! c(n,n) - inverse matrix of A
!
! ===========================================================
implicit none
!
integer, intent(in) :: n
real(8), intent(out) :: c(n,n)
real(8), intent(in) :: ain(n,n)
real(8) :: L(n,n), U(n,n), b(n), d(n), x(n)
real(8) :: coeff, a(n,n)
integer :: i, j, k
!
! step 0: initialization for matrices L and U and b
! Fortran 90/95 allows such operations on matrices
L=0.
U=0.
b=0.
a=ain
!
! step 1: forward elimination
do k=1,n-1
do i=k+1,n
coeff=a(i,k)/a(k,k)
L(i,k) = coeff
do j=k+1,n
a(i,j) = a(i,j)-coeff*a(k,j)
end do
end do
end do
!
! Step 2: prepare L and U matrices
! L matrix is a matrix of the elimination coefficient
! + the diagonal elements are 1.0
do i=1,n
L(i,i) = 1.0
end do
! U matrix is the upper triangular part of A
do j=1,n
do i=1,j
U(i,j) = a(i,j)
end do
end do
!
! Step 3: compute columns of the inverse matrix C
do k=1,n
b(k)=1.0
d(1) = b(1)
! Step 3a: Solve Ld=b using the forward substitution
do i=2,n
d(i)=b(i)
do j=1,i-1
d(i) = d(i) - L(i,j)*d(j)
end do
end do
! Step 3b: Solve Ux=d using the back substitution
x(n)=d(n)/U(n,n)
do i = n-1,1,-1
x(i) = d(i)
do j=n,i+1,-1
x(i)=x(i)-U(i,j)*x(j)
end do
x(i) = x(i)/u(i,i)
end do
! Step 3c: fill the solutions x(n) into column k of C
do i=1,n
c(i,k) = x(i)
end do
b(k)=0.0
end do
!
end subroutine nolapinverse
!
!
!
!
!
! *************************************************
! * SUBROUTINE MATRIX SQUARE ROOT *
! *************************************************
!
subroutine msqrt(a,b)
implicit none
real(8), intent(inout) :: a(3,3)
real(8), intent(out) :: b(3,3)
integer :: i
real(8) :: diag(3,3), q(3,3), d(3),
+ qtrans(3,3), res(3,3)
!
!
diag=0.; b=0.; q=0.;res=0.;d=0.
!
call jacobi(a,3,d,q)
call eigsrt(d,q,3)
!
do i=1,3
if (d(i) .ge. 0) then
diag(i,i)=sqrt(d(i))
else
write (6,*) 'the matrix is not positive definite'
end if
end do
!
res = matmul(q,diag)
b = matmul(res,transpose(q))
!
return
end subroutine msqrt
!
!
!
! *************************************************
! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS*
! *************************************************
!
subroutine jacobi(a,n,d,v)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: a(n,n)
real(8), intent(out) :: d(n), v(n,n)
!
integer, parameter :: nmax=500
integer :: i, j, ip, iq, nrot
real(8) :: b(nmax), z(nmax), dial(n,n),
+ sm, tresh, g, h, t, theta, c, s, ta
!
!
do ip=1,n
do iq=1,n
v(ip,iq)=0.
end do
v(ip,ip)=1.
end do
!
do ip=1,n
b(ip)=a(ip,ip)
d(ip)=b(ip)
z(ip)=0.
end do
!
nrot=0
do i=1,50
sm=0.
do ip=1,n-1
do iq=ip+1,n
sm=sm+abs(a(ip,iq))
end do
end do
!
if (sm .eq. 0.) return
if (i .lt. 4) then
tresh=0.2*sm/n**2
else
tresh=0.
end if
!
do ip=1,n-1
do iq=ip+1,n
g=100.*abs(a(ip,iq))
if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip)))
+ .and. (abs(d(ip))+g .eq. abs(d(iq)))) then
a(ip,iq)=0.
else if (abs(a(ip,iq)) .gt. tresh) then
h=d(iq)-d(ip)
if (abs(h)+g .eq. abs(h)) then
t=a(ip,iq)/h
else
theta=0.5*h/a(ip,iq)
t=1./(abs(theta)+sqrt(1.+theta**2))
if (theta .lt. 0) t=-t
end if
c=1./sqrt(1.+t**2)
s=t*c
ta=s/(1.+c)
h=t*a(ip,iq)
z(ip)=z(ip)-h
z(iq)=z(iq)+h
d(ip)=d(ip)-h
d(iq)=d(iq)+h
a(ip,iq)=0.
!
do j=1,ip-1
g=a(j,ip)
h=a(j,iq)
a(j,ip)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=ip+1,iq-1
g=a(ip,j)
h=a(j,iq)
a(ip,j)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=iq+1,n
g=a(ip,j)
h=a(iq,j)
a(ip,j)=g-s*(h+g*ta)
a(iq,j)=h+s*(g-h*ta)
end do
!
do j=1,n
g=v(j,ip)
h=v(j,iq)
v(j,ip)=g-s*(h+g*ta)
v(j,iq)=h+s*(g-h*ta)
end do
!
nrot=nrot+1
end if
end do
end do
!
do ip=1,n
b(ip)=b(ip)+z(ip)
d(ip)=b(ip)
z(ip)=0.
end do
end do
!
!
return
end subroutine jacobi
!
!
! *************************************************
! * SUBROUTINE SORT EIGENVALUES *
! *************************************************
!
subroutine eigsrt(d,v,n)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: d(n)
real(8), intent(inout) :: v(n,n)
!
integer :: i, j, k
real(8) :: p
!
do i=1,n-1
k=i
p=d(i)
do j=i+1,n
if(d(j).ge.p)then
k=j
p=d(j)
endif
end do
if(k.ne.i)then
d(k)=d(i)
d(i)=p
do j=1,n
p=v(j,i)
v(j,i)=v(j,k)
v(j,k)=p
end do
endif
end do
!
return
end subroutine eigsrt
!
!
! *************************************************
! * THE DETERMINANT OF A 3X3 MATRIX *
! *************************************************
subroutine deter3x3(dmin,d)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: d
!
d = 0.
d = dmin(1,1)*dmin(2,2)*dmin(3,3) +
+ dmin(1,2)*dmin(2,3)*dmin(3,1) +
+ dmin(2,1)*dmin(3,2)*dmin(1,3) -
+ dmin(1,3)*dmin(2,2)*dmin(3,1) -
+ dmin(1,1)*dmin(2,3)*dmin(3,2) -
+ dmin(1,2)*dmin(2,1)*dmin(3,3)
!
return
end subroutine deter3x3
!
!
! *************************************************
! * THE DETERMINANT OF A 2X2 MATRIX *
! *************************************************
subroutine deter2x2(dmin,d)
implicit none
real(8), intent(in) :: dmin(2,2)
real(8), intent(out) :: d
!
d=0.
d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1)
!
return
end subroutine deter2x2
!
! *************************************************
! * Build 4th order rotation matrix (tsigma) *
! *************************************************
! valid for rotating symmetric tensors
subroutine rotord4sig(xrot,tsigma)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tsigma(6,6)
!
tsigma(1,1) = xrot(1,1)*xrot(1,1)
tsigma(1,2) = xrot(1,2)*xrot(1,2)
tsigma(1,3) = xrot(1,3)*xrot(1,3)
tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2)
tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3)
tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1)
!
tsigma(2,1) = xrot(2,1)*xrot(2,1)
tsigma(2,2) = xrot(2,2)*xrot(2,2)
tsigma(2,3) = xrot(2,3)*xrot(2,3)
tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2)
tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3)
tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1)
!
tsigma(3,1) = xrot(3,1)*xrot(3,1)
tsigma(3,2) = xrot(3,2)*xrot(3,2)
tsigma(3,3) = xrot(3,3)*xrot(3,3)
tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2)
tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3)
tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1)
!
tsigma(4,1) = xrot(1,1)*xrot(2,1)
tsigma(4,2) = xrot(1,2)*xrot(2,2)
tsigma(4,3) = xrot(1,3)*xrot(2,3)
tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tsigma(6,1) = xrot(2,1)*xrot(3,1)
tsigma(6,2) = xrot(2,2)*xrot(3,2)
tsigma(6,3) = xrot(2,3)*xrot(3,3)
tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tsigma(5,1) = xrot(3,1)*xrot(1,1)
tsigma(5,2) = xrot(3,2)*xrot(1,2)
tsigma(5,3) = xrot(3,3)*xrot(1,3)
tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4sig
!
!
! *************************************************
! * Build 4th order rotation matrix (tstran) *
! *************************************************
! valid for symmetric tensors
subroutine rotord4str(xrot,tstran)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tstran(6,6)
!
tstran(1,1) = xrot(1,1)*xrot(1,1)
tstran(1,2) = xrot(1,2)*xrot(1,2)
tstran(1,3) = xrot(1,3)*xrot(1,3)
tstran(1,4) = xrot(1,1)*xrot(1,2)
tstran(1,6) = xrot(1,2)*xrot(1,3)
tstran(1,5) = xrot(1,3)*xrot(1,1)
!
tstran(2,1) = xrot(2,1)*xrot(2,1)
tstran(2,2) = xrot(2,2)*xrot(2,2)
tstran(2,3) = xrot(2,3)*xrot(2,3)
tstran(2,4) = xrot(2,1)*xrot(2,2)
tstran(2,6) = xrot(2,2)*xrot(2,3)
tstran(2,5) = xrot(2,3)*xrot(2,1)
!
tstran(3,1) = xrot(3,1)*xrot(3,1)
tstran(3,2) = xrot(3,2)*xrot(3,2)
tstran(3,3) = xrot(3,3)*xrot(3,3)
tstran(3,4) = xrot(3,1)*xrot(3,2)
tstran(3,6) = xrot(3,2)*xrot(3,3)
tstran(3,5) = xrot(3,3)*xrot(3,1)
!
tstran(4,1) = 2.*xrot(1,1)*xrot(2,1)
tstran(4,2) = 2.*xrot(1,2)*xrot(2,2)
tstran(4,3) = 2.*xrot(1,3)*xrot(2,3)
tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tstran(6,1) = 2.*xrot(2,1)*xrot(3,1)
tstran(6,2) = 2.*xrot(2,2)*xrot(3,2)
tstran(6,3) = 2.*xrot(2,3)*xrot(3,3)
tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tstran(5,1) = 2.*xrot(3,1)*xrot(1,1)
tstran(5,2) = 2.*xrot(3,2)*xrot(1,2)
tstran(5,3) = 2.*xrot(3,3)*xrot(1,3)
tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4str
!
!
! ***************************************************************
! * Build 4th order lower (and upper) tensor product *
! * NB: When contracted from 4th to the format used for *
! * C-matrix, it turns out that the upper and lower products *
! * are the same! *
! ***************************************************************
! valid for symmetric tensors
subroutine ltprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,2)*b(1,2)
c(1,3) = 2.*a(1,3)*b(1,3)
c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1)
c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1)
c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,3)*b(2,3)
c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1)
c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1)
c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1)
c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1)
c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1)
c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1)
c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2)
!
c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1)
c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine ltprod
!
!
! **************************************************
! * Build 4th order tensor product (kronecker)*
! **************************************************
! valid for symmetric tensors
subroutine tprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,1)*b(2,2)
c(1,3) = 2.*a(1,1)*b(3,3)
c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1)
c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1)
c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,2)*b(3,3)
c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1)
c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1)
c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1)
c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1)
c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1)
c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1)
c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2)
!
c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1)
c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine tprod
!
!
!
! **************************************
! * MULTIPLY 3x3 MATRICES *
! **************************************
subroutine mmult(dm1,dm2,dm)
implicit none
real(8), intent(in) :: dm1(3,3), dm2(3,3)
real(8), intent(out) :: dm(3,3)
integer :: i, j, k
real(8) :: x
!
!
do i=1,3
do j=1,3
x=0.0
do k=1,3
x=x+dm1(i,k)*dm2(k,j)
end do
dm(i,j)=x
end do
end do
!
return
end subroutine mmult
!
!
! This subroutine inverts a 3x3 matrix
! INPUT: Matrix --- A(3,3)
! OUTPUT: Invereted matrix, determinant --- invA(3,3),det
subroutine inv3x3(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(3,3)
real(8), intent(out) :: invA(3,3), det
integer :: i,j
!
!
! First calculate the determinant
call deter3x3(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det
invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det
invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det
invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det
invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det
invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det
invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det
invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det
invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det
endif
return
end subroutine inv3x3
!
!
! This subroutine inverts a 2x2 matrix
! INPUT: Matrix --- A(2,2)
! OUTPUT: Invereted matrix, determinant --- invA(2,2),det
subroutine inv2x2(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(2,2)
real(8), intent(out) :: invA(2,2), det
integer :: i,j
!
!
! First calculate the determinant
call deter2x2(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1) = A(2,2)/det
invA(1,2) =-A(1,2)/det
invA(2,1) =-A(2,1)/det
invA(2,2) = A(1,1)/det
endif
return
end subroutine inv2x2
!
! Euler angles to crystal orientation matrix
! INPUT: Angles(deg) --- ang(3)
! OUTPUT: Orientation matrix --- R(3,3)
! USES: Number pi --- pi
subroutine Euler2ori(Euler,R)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: R(3,3)
real(8) :: phi1, phi2, Phi
!
! convert to radians
phi1=Euler(1)*pi/180.
Phi=Euler(2)*pi/180.
phi2=Euler(3)*pi/180.
!
!
R=0.
R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi))
R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi))
R(3,1)=sin(phi1)*sin(Phi)
R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi))
R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi))
R(3,2)=-cos(phi1)*sin(Phi)
R(1,3)=sin(phi2)*sin(Phi)
R(2,3)=cos(phi2)*sin(Phi)
R(3,3)=cos(Phi)
!
return
end subroutine Euler2ori
!
!
! Orientation matrix from Euler angles
! INPUT: Orientation matrix --- R(3)
! OUTPUT: Bunge angles(deg) --- ang(3)
! USES: Number pi --- pi
subroutine ori2Euler(R,Euler)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: R(3,3)
real(8), intent(out) :: Euler(3)
real(8) :: phi1, phi2, Phi
!
if (R(3,3).eq.1.) then
Phi=0.
phi1=atan2(R(1,2),R(1,1))
phi2=0.
else
Phi=acos(R(3,3))
phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi))
phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi))
endif
Euler(1)=phi1
Euler(2)=Phi
Euler(3)=phi2
! convert to degrees
Euler=Euler*180./pi
!
return
end subroutine ori2Euler
!
!
! This subroutine calculates inverse of a square matrix
! by singular value decomposition
subroutine SVDinverse(A,n,invA,err)
use globalvariables, only: smallnum
implicit none
integer n
real(8), intent(in) :: A(n,n)
real(8), intent(out) :: invA(n,n)
integer, intent(out) :: err
! local variables
real(8) :: w(n), V(n,n), U(n,n)
real(8) :: invS(n,n), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,n,n,n,w,V,err)
!
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
!
invS = 0.
do i = 1, n
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
! Corrected by Alvaro
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDinverse
!
!
! Generalized inverse by singular value decomposition
! Written by Alvaro Martinez 08-03-2023
!
subroutine SVDgeninverse(A,n,m,invA,err)
use globalvariables, only: smallnum
implicit none
integer, intent(in) :: n
integer, intent(in) :: m
real(8), intent(in) :: A(n,m)
real(8), intent(out) :: invA(m,n)
integer, intent(out) :: err
! local variables
real(8) :: w(m), V(m,m), U(n,m)
real(8) :: invS(m,m), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,m,n,m,w,V,err)
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
invS = 0.
do i = 1, m
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
!
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDgeninverse
!
!
!
! Codes for singular value decomposition
! Numerical Recipies in F77
! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf
!
! SVDcmp subroutine
! Given a matrix (1:m,1:n) with physical dimensions mp by np,
! this routine computes its singular value decomposition,
! A = U W VT. The matrix U replaces A on output. The diagonal
! matrix of singular values W is output as a vector w(1:n)
! The matrix V (not the transpose VT) is the output as V(1:n,1:n)
!
subroutine svdcmp(A,m,n,mp,np,w,V,err)
use errors, only: error
implicit none
integer, intent(in) :: m,mp,n,np
real(8), intent(inout) :: A(mp,np)
real(8), intent(out) :: V(np,np), w(np)
integer, intent(out) :: err
integer, parameter :: nmax=1000
! uses pythag
integer i,its,j,jj,k,l,nm
real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt
! initialize error flag
err=0
!
g=0.0
scale=0.0
anorm=0.0
do 25 i=1,n
l=i+1
rv1(i)=scale*g
g=0.0
s=0.0
scale=0.0
if(i.le.m)then
do 11 k=i,m
scale=scale+abs(A(k,i))
11 continue
if(scale.ne.0.0)then
do 12 k=i,m
A(k,i)=A(k,i)/scale
s=s+A(k,i)*A(k,i)
12 continue
f=A(i,i)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,i)=f-g
do 15 j=l,n
s=0.0
do 13 k=i,m
s=s+A(k,i)*A(k,j)
13 continue
f=s/h
do 14 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
14 continue
15 continue
do 16 k=i,m
A(k,i)=scale*A(k,i)
16 continue
endif
endif
w(i)=scale *g
g=0.0
s=0.0
scale=0.0
if((i.le.m).and.(i.ne.n))then
do 17 k=l,n
scale=scale+abs(A(i,k))
17 continue
if(scale.ne.0.0)then
do 18 k=l,n
A(i,k)=A(i,k)/scale
s=s+A(i,k)*A(i,k)
18 continue
f=A(i,l)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,l)=f-g
do 19 k=l,n
rv1(k)=A(i,k)/h
19 continue
do 23 j=l,m
s=0.0
do 21 k=l,n
s=s+A(j,k)*A(i,k)
21 continue
do 22 k=l,n
A(j,k)=A(j,k)+s*rv1(k)
22 continue
23 continue
do 24 k=l,n
A(i,k)=scale*A(i,k)
24 continue
endif
endif
anorm=max(anorm,(abs(w(i))+abs(rv1(i))))
25 continue
do 32 i=n,1,-1
if(i.lt.n)then
if(g.ne.0.0)then
do 26 j=l,n
V(j,i)=(A(i,j)/A(i,l))/g
26 continue
do 29 j=l,n
s=0.0
do 27 k=l,n
s=s+A(i,k)*V(k,j)
27 continue
do 28 k=l,n
V(k,j)=V(k,j)+s*V(k,i)
28 continue
29 continue
endif
do 31 j=l,n
V(i,j)=0.0
V(j,i)=0.0
31 continue
endif
V(i,i)=1.0
g=rv1(i)
l=i
32 continue
do 39 i=min(m,n),1,-1
l=i+1
g=w(i)
do 33 j=l,n
A(i,j)=0.0
33 continue
if(g.ne.0.0)then
g=1.0/g
do 36 j=l,n
s=0.0
do 34 k=l,m
s=s+A(k,i)*A(k,j)
34 continue
f=(s/A(i,i))*g
do 35 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
35 continue
36 continue
do 37 j=i,m
A(j,i)=A(j,i)*g
37 continue
else
do 38 j= i,m
A(j,i)=0.0
38 continue
endif
A(i,i)=A(i,i)+1.0
39 continue
do 49 k=n,1,-1
do 48 its=1,30
do 41 l=k,1,-1
nm=l-1
if((abs(rv1(l))+anorm).eq.anorm) goto 2
if((abs(w(nm))+anorm).eq.anorm) goto 1
41 continue
1 c=0.0
s=1.0
do 43 i=l,k
f=s*rv1(i)
rv1(i)=c*rv1(i)
if((abs(f)+anorm).eq.anorm) goto 2
g=w(i)
call pythag(f,g,h)
w(i)=h
h=1.0/h
c= (g*h)
s=-(f*h)
do 42 j=1,m
y=A(j,nm)
z=A(j,i)
A(j,nm)=(y*c)+(z*s)
A(j,i)=-(y*s)+(z*c)
42 continue
43 continue
2 z=w(k)
if(l.eq.k)then
if(z.lt.0.0)then
w(k)=-z
do 44 j=1,n
V(j,k)=-V(j,k)
44 continue
endif
goto 3
endif
if(its.eq.30) then !pause 'no convergence in svdcmp'
err=1
endif
x=w(l)
nm=k-1
y=w(nm)
g=rv1(nm)
h=rv1(k)
f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y)
call pythag(f,1.0d+0,g)
f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x
c=1.0
s=1.0
do 47 j=l,nm
i=j+1
g=rv1(i)
y=w(i)
h=s*g
g=c*g
call pythag(f,h,z)
rv1(j)=z
c=f/z
s=h/z
f= (x*c)+(g*s)
g=-(x*s)+(g*c)
h=y*s
y=y*c
do 45 jj=1,n
x=V(jj,j)
z=V(jj,i)
V(jj,j)= (x*c)+(z*s)
V(jj,i)=-(x*s)+(z*c)
45 continue
call pythag(f,h,z)
w(j)=z
if(z.ne.0.0)then
z=1.0/z
c=f*z
s=h*z
endif
f= (c*g)+(s*y)
x=-(s*g)+(c*y)
do 46 jj=1,m
y=A(jj,j)
z=A(jj,i)
A(jj,j)= (y*c)+(z*s)
A(jj,i)=-(y*s)+(z*c)
46 continue
47 continue
rv1(l)=0.0
rv1(k)=f
w(k)=x
48 continue
3 continue
49 continue
return
end subroutine svdcmp
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
!
!
subroutine pythag(a,b,pyt)
implicit none
real(8), intent(in):: a,b
real(8), intent(out):: pyt
real(8) absa,absb
absa=abs(a)
absb=abs(b)
if(absa.gt.absb)then
pyt=absa*sqrt(1.+(absb/absa)**2)
else
if(absb.eq.0.)then
pyt=0.
else
pyt=absb*sqrt(1.+(absa/absb)**2)
endif
endif
return
end subroutine pythag
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
end module utilities
================================================
FILE: Example - Residual deformation/Job-1.inp
================================================
*Heading
** Job name: Job-1 Model name: Model-1
** Generated by: Abaqus/CAE 2021
*Preprint, echo=NO, model=NO, history=NO, contact=NO
**
** PARTS
**
*Part, name=Part-1
*Node
1, 1000., 1., 1000.
2, 1000., -999., 1000.
3, 1000., 1., 0.
4, 1000., -999., 0.
5, 0., 1., 1000.
6, 0., -999., 1000.
7, 0., 1., 0.
8, 0., -999., 0.
*Element, type=C3D8R
1, 5, 6, 8, 7, 1, 2, 4, 3
*Nset, nset=_PickedSet2, internal, generate
1, 8, 1
*Elset, elset=_PickedSet2, internal
1,
** Section: Section-1
*Solid Section, elset=_PickedSet2, controls=EC-1, material=Material-1
,
*Hourglass Stiffness
1e-06, , 0., 0.
*End Part
**
**
** ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=Part-1-1, part=Part-1
*End Instance
**
*Nset, nset=_PickedSet5, internal, instance=Part-1-1, generate
2, 8, 2
*Elset, elset=_PickedSet5, internal, instance=Part-1-1
1,
*Nset, nset=_PickedSet6, internal, instance=Part-1-1
3, 4, 7, 8
*Elset, elset=_PickedSet6, internal, instance=Part-1-1
1,
*Nset, nset=_PickedSet10, internal, instance=Part-1-1, generate
1, 8, 1
*Elset, elset=_PickedSet10, internal, instance=Part-1-1
1,
*End Assembly
**
** ELEMENT CONTROLS
**
*Section Controls, name=EC-1, hourglass=STIFFNESS
1., 1., 1.
**
** MATERIALS
**
*Material, name=Material-1
*Depvar
12,
*User Material, constants=6
0.,0.,0.,1.,2.,0.
**
** BOUNDARY CONDITIONS
**
** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet10, XSYMM
** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet5, YSYMM
** Name: BC-3 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PickedSet6, ZSYMM
** ----------------------------------------------------------------
**
** STEP: Step-2
**
*Step, name=Step-2, nlgeom=YES
*Static
0.1, 10., 0.0001, 10.
**
** CONTROLS
**
*Controls, reset
*Controls, parameters=field, field=displacement
, 1., , , , , ,
*Controls, parameters=field, field=hydrostatic fluid pressure
, 1., , , , , ,
*Controls, parameters=field, field=rotation
, 1., , , , , ,
*Controls, parameters=field, field=electrical potential
, 1., , , , , ,
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-2
**
*Output, field
*Node Output
CF, RF, RM, RT, TF, U, UR, UT
V, VF, VR, VT
*Element Output, directions=YES
ALPHA, ALPHAN, BF, CENTMAG, CENTRIFMAG, CORIOMAG, CS11, CTSHR, E, EE, EEQUT, ER, ESF1, GRAV, HP, IE
LE, MISES, MISESMAX, MISESONLY, NE, NFORC, NFORCSO, P, PE, PEEQ, PEEQMAX, PEEQT, PEMAG, PEQC, PRESSONLY, PS
ROTAMAG, S, SALPHA, SE, SEE, SEP, SEPE, SEQUT, SF, SPE, SQEQ, SSAVG, TE, TEEQ, TEVOL, THE
TRIAX, TRNOR, TRSHR, TSHR, VE, VEEQ, VS, YIELDPOT
**
** HISTORY OUTPUT: H-Output-2
**
*Output, history
*Element Output
IRA1, IRA2, IRA3, IRAR1, IRAR2, IRAR3, IRF1, IRF2, IRF3, IRM1, IRM2, IRM3
*End Step
================================================
FILE: Example - Residual deformation/OXFORD-UMAT.f
================================================
!
! November, 01st, 2022 - 1st working version
! Mar., 27th, 2025 - Release v3.0
!
! Crystal Plasticity UMAT
! University of Oxford
! Eralp Demir
!
! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA
!
! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli
! Originally based on the UEL by Fionn Dunne 2007
! Deformation twinning is not included
!
! Major changes:
! - Initialization routines for computational efficiency
! - Reverse slip formulation by C. Hardie
! - Option for implicit state update
! - Multiple materials with different phases can co-exist in a mesh
! - Modular code for flexible constitutive model development
! - GND calculations:
! o Restricted solution to the active slip systems
! o Option for element center homogenization
! o Different 2D/3D element types for GND calculation
! - 2D plane stress/strain problems
! - Lp correction
! - Jaumann rate correction
!
include "userinputs.f"
include "globalvariables.f"
include "irradiation.f"
include "errors.f"
include "utilities.f"
include "meshprop.f"
include "usermaterials.f"
include "useroutputs.f"
include "crss.f"
include "initializations.f"
include "slip.f"
include "slipreverse.f"
include "creep.f"
include "innerloop.f"
include "hardening.f"
include "backstress.f"
include "cpsolver.f"
include "straingradients.f"
include "UEXTERNALDB.f"
!
!
!
!
!
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
1 RPL,DDSDDT,DRPLDE,DRPLDT,
2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
!
use userinputs, only: cutback, pastefront
use globalvariables, only: numel, numpt, numtens,
+ largenum, ip_init, init_once, ip_count
use initializations, only: initialize_atfirstinc
use cpsolver, only: solve
implicit none
!
!
INTEGER, INTENT(IN) ::
+ NDI, ! Number of direct stress components at this point
+ NSHR, ! Number of engineering shear stress components
+ NTENS, ! Size of the stress / strain components (NDI + NSHR)
+ NSTATV, ! Number of solution-dependent state variables
+ NPROPS, ! User-defined number of material constants
+ NOEL, ! Element number
+ NPT, ! Integration point number
+ LAYER, ! Layer number (shell elements etc.)
+ KSPT, ! Section point within the current layer
+ KINC ! Increment number (time increment)
INTEGER, DIMENSION(4), INTENT(IN) ::
+ JSTEP ! Step number (load step)
CHARACTER(LEN=80), INTENT(IN) ::
+ CMNAME ! Usee-specified material name, left justified
REAL(8), INTENT(IN) ::
+ DTIME, ! Time increment
+ TEMP, ! Temperature at the start of the increment
+ DTEMP, ! Increment of temperature
+ CELENT ! Temperature
REAL(8), DIMENSION(1), INTENT(IN) ::
+ PREDEF,
+ DPRED
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME ! Step time/total time at begin, of the current inc.
REAL(8), DIMENSION(3), INTENT(IN) ::
+ COORDS
REAL(8), DIMENSION(NTENS), INTENT(IN) ::
+ STRAN, ! Total strains at beginning of the increment
+ DSTRAN ! Strain increments
REAL(8), DIMENSION(NPROPS), INTENT(IN) ::
+ PROPS
REAL(8), DIMENSION(3,3), INTENT(IN) ::
+ DROT, ! Rotation increment matrix
+ DFGRD0, ! Deformation gradient at the former time increment
+ DFGRD1 ! Deformation gradient at the current time increment
REAL(8), INTENT(INOUT) ::
+ PNEWDT, ! Ratio of suggested new time increment to current time increment
+ SSE, ! Specific elastic strain engergy
+ SPD, ! Specific plastic dissipation
+ SCD, ! Specific creep dissipation
+ RPL, ! Volumetric heat generation
+ DRPLDT ! Variation of RPL with respect to the temperature
REAL(8), DIMENSION(NTENS), INTENT(INOUT) ::
+ STRESS ! Cauchy stress vector at the current time increment
REAL(8), DIMENSION(NSTATV), INTENT(INOUT) ::
+ STATEV ! Solution-dependent state variables
REAL(8), DIMENSION(NTENS), INTENT(OUT) ::
+ DDSDDT, ! Variation of the stress increments with respect to the temperature
+ DRPLDE ! Variation of RPL with respect to the strain increments
REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) ::
+ DDSDDE ! Material tangent at the current time increment
!
! local array for 3D crystal plasticity solver
real(8) :: sigma(6), jacobi(6,6)
! material-id needed for array allocations
integer :: matid, debug, debugwait
! counter
integer :: i
!
! turn VS debugger on/off
debug=0
do while (debug==1)
debugwait = 1
end do
!
! to avoid warning messages set the following to zero
DDSDDT = 0.
DRPLDE = 0.
!
! outputs
sigma = 0.
jacobi = 0.
!
!
!
! read the number of elements and number of integration points per element
if (ip_count(NOEL,NPT)<1) then
!
! Increment the counter
ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1
!
! store the number of elements
if (NOEL>numel) numel=NOEL
! store the number of integration points
if (NPT>numpt) numpt=NPT
!
! dimension of the problem (will be re-assigned in feprop)
numtens = ntens
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
PNEWDT=cutback
!
!
!
end if
!
!
! if arrays allocated then
! do the crystal plasticity calculations
if (init_once==1) then
!
!
! material/phase identifier
matid=int(PROPS(5))
!
! in some multi-body simulations UMAT entry for RGB has happened!
! in that case, RGB having no material-ID assigned gave array access issues
! this case deals with that situation
if (matid > 0) then
!
! material property initialization
if (ip_init(NOEL,NPT)==0) then
!
call initialize_atfirstinc(NOEL,NPT,COORDS,
+ NPROPS,PROPS,TEMP,NSTATV,NTENS,STRESS)
!
!
! write(*,*) 'element: ', NOEL
! write(*,*) 'ip: ', NPT
! write(*,*) 'initialized!'
end if
!
!
!
!
! call the main crystal plasticity solver
call solve(NOEL,NPT,DFGRD1,DFGRD0,
+ TEMP,DTEMP,JSTEP(1),TIME(1),DTIME,matid,
+ PNEWDT,NSTATV,STATEV,
+ sigma,jacobi)
!
!
!
! increase the time step if desired or,
! let ABAQUS decide!
if (pastefront > 1.) then
! if there is no cutback introduced
if (PNEWDT /= cutback) then
PNEWDT = pastefront
end if
end if
!
!
!
! 3D case
if (NTENS==6) then
!
STRESS = sigma
DDSDDE = jacobi
!
! plane strain case
elseif (NTENS==4) then
!
STRESS=0.
STRESS=0.
STRESS(1) = sigma(1)
STRESS(2) = sigma(2)
STRESS(3) = sigma(3)
STRESS(4) = sigma(4)
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(1,3) = jacobi(1,3)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(2,3) = jacobi(2,3)
DDSDDE(3,1) = jacobi(3,1)
DDSDDE(3,2) = jacobi(3,2)
DDSDDE(3,3) = jacobi(3,3)
DDSDDE(4,4) = jacobi(4,4)
!
! plane stress case
elseif (NTENS==3) then
!
STRESS=0.
! correction by Alvaro
STRESS(1) = sigma(1)-sigma(3)
STRESS(2) = sigma(2)-sigma(3)
!
STRESS(3) = sigma(4)
!
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(3,3) = jacobi(4,4)
!
end if
!
! if rigid body (or matid not defined in PROPS)
else
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
!
! end of crystal plasticity solution
end if
!
! end of one-time initialization performed case
end if
!
!
!
RETURN
END
================================================
FILE: Example - Residual deformation/UEXTERNALDB.f
================================================
!
SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC)
! Subroutine for initialization
use initializations, only : initialize_variables,
+ initialize_once
use userinputs, only : gndmodel, backstressmodel
use globalvariables, only: numel, numpt,
+ init_once, statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum,
+ statev_gammadot_t, statev_gammadot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_forest_t, statev_forest,
+ statev_substructure_t, statev_substructure, statev_evmp_t,
+ statev_evmp, statev_totgammasum_t, statev_totgammasum,
+ statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop,
+ statev_Lambda_t, statev_Lambda, statev_sigma_t2,
+ statev_tausolute_t, statev_tausolute, time_old, dt_t,
+ statev_backstress, statev_backstress_t,
+ statev_plasdiss, statev_plasdiss_t,
+ ip_count, calculategradient, ip_init, grad_init
!
use straingradients, only: gndmodel1, gndmodel2,
+ gndmodel3, gndmodel4
use backstress, only: backstressmodel2
use meshprop, only: initialize_gradientoperators
use useroutputs, only: write_statev_legend
!
implicit none
!
!
!
INTEGER, INTENT(IN) ::
+ LOP,
+ LRESTART,
+ KSTEP,
+ KINC
REAL(8), DIMENSION(1), INTENT(IN) ::
+ DTIME
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME
!
!
integer :: i
!
!
!
! at the start of the analysis (only ONCE!)
! if there are initializations/calculations that are needed once,
! and that are independepent of element properties, you may use here.
if (LOP==0) then
!
! 0. Initialize variables (instead of using data statements)
call initialize_variables
!
!
end if
!
! Initialization of gradient operators
! Check if the element has more than one integration point
! And the gradient initialization was done before or not
if ((calculategradient==1).and.(grad_init==0)) then
!
! Check if IP coordinates were collected
if ((sum(ip_init)==numel*numpt).and.
+ (numel>0).and.(numpt>0)) then
!
!
! Calculate the gradient mapping for each element once.
call initialize_gradientoperators
!
grad_init=1
write(*,*) '7. Gradient operators initialized!'
!
endif
!
end if
!
!
!
!
!
if (LOP==1) then
!
!
! in case of force BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
end if
!
!
!
!
!
end if
!
!
end if
!
!
!
! at the end of each increment
if (LOP==2) then
!
!
! in case of displacement BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
!
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
!
end if
!
!
!
!
!
!
end if
!
!
!
write(*,*) '--------------------------------'
!
write(*,*) 'At the end of increment: ', KINC
!
!
!
!
!
! GND calculations
! do this only if the initiliazation complete and
! element gradients are calculatable (calculategradient==1)
if ((init_once==1).and.(grad_init==1).and.
+ (calculategradient==1).and.(KINC>1)) then
!
! update and calculate GNDs (nonlocal calculations)
! this is done at the end of calculations.
! GNDs that belong to the PREVIOUS time step are used.
! initially GNDs are assumed to have "0" values.
!
! calculate GNDs (if initialization complete)
if (gndmodel>0) then
!
! curl followed by L2 minimization - SVD -
! constrained to active slip systems
if (gndmodel==1) then
!
call gndmodel1
!
! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD
! constrained to active slip systems (same as model-1)
elseif (gndmodel==2) then
!
call gndmodel2
!
! rate form followed by direct projections
elseif (gndmodel==3) then
!
call gndmodel3(DTIME(1))
!
! slip gradients
elseif (gndmodel==4) then
!
call gndmodel4(DTIME(1))
!
!
endif
!
!
write(*,*) 'GNDs are computed!'
!
!
if (backstressmodel==2) then
!
call backstressmodel2
!
write(*,*) 'Backstresses are computed!'
!
end if
!
end if
!
end if
!
! update the time
time_old = time(2)
! store former converged time increment
dt_t = DTIME(1)
!
!
! update state variables
! assign the current results to the former values
statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:)
statev_evmp_t(:,:) = statev_evmp(:,:)
statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:)
statev_totgammasum_t(:,:) = statev_totgammasum(:,:)
statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:)
statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:)
statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:)
statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:)
statev_sigma_t(:,:,:) = statev_sigma(:,:,:)
statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:)
statev_tauc_t(:,:,:) = statev_tauc(:,:,:)
statev_maxx_t(:,:) = statev_maxx(:,:)
statev_Eec_t(:,:,:) = statev_Eec(:,:,:)
statev_gnd_t(:,:,:) = statev_gnd(:,:,:)
statev_ssd_t(:,:,:) = statev_ssd(:,:,:)
statev_ssdtot_t(:,:) = statev_ssdtot(:,:)
statev_forest_t(:,:,:) = statev_forest(:,:,:)
statev_loop_t(:,:,:) = statev_loop(:,:,:)
statev_substructure_t(:,:) = statev_substructure(:,:)
statev_tausolute_t(:,:) = statev_tausolute(:,:)
statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:)
statev_backstress_t(:,:,:) = statev_backstress(:,:,:)
statev_plasdiss_t(:,:) = statev_plasdiss(:,:)
!
write(*,*) 'States are updated!'
!
write(*,*) '--------------------------------'
!
!
endif
!
!
!
RETURN
END
!
!
================================================
FILE: Example - Residual deformation/backstress.f
================================================
! May 03rd, 2022
! Eralp Demir
!
module backstress
implicit none
contains
!
! Armstrong-Frederic backstress model
! Two input parameters are required
subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX)
use userinputs, only : maxnparam
implicit none
! Inputs
! Backstress parameters
real(8), intent(in) :: backstressparam(maxnparam)
! Number of slip systems
integer, intent(in) :: nslip
! Current value of slip rate
real(8), intent(in) :: gdot(nslip)
! Current value of backstress
real(8), intent(in) :: X(nslip)
! time increment
real(8), intent(in) :: dt
!
! Output
! Backtress increment
real(8), intent(out) :: dX(nslip)
!
! Variables used in this subroutine
! Backstress evolution parameter
real(8) :: h
! Backstress relief parameter
real(8) :: hD
integer :: is
!
! Backstress evolution
h = backstressparam(1)
!
! Backstress annihiliation
hD = backstressparam(2)
!
dX = 0.
do is=1,nslip
!
dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt
!
end do
!
!
!
return
end subroutine backstressmodel1
!
!
!
!
!
! NON-LOCAL backstress calculation based on GND density
subroutine backstressmodel2
use userinputs, only: maxnslip
use globalvariables, only: numel, numpt,
+ materialid, numslip_all, numscrew_all, screw_all,
+ burgerv_all, gf_all, G12_all, v12_all,
+ backstressparam_all, statev_backstress,
+ statev_gnd, statev_gammasum
use utilities, only: matvec6
implicit none
integer :: matid, nslip, nscrew
real(8) :: burgerv(maxnslip)
integer :: screw(maxnslip)
real(8) :: X(maxnslip)
real(8) :: gf, G12, v12, xi
real(8) :: rhoGNDe, rhoGNDs, gsum
real(8) :: rhoGND(maxnslip)
integer :: ie, ip, is, i, k, l
!
!
!
!
!
!
do ie=1, numel
!
! Reset arrays
burgerv=0.;screw=0
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw = screw_all(matid,1:nscrew)
!
! Geometric factor
gf = gf_all(matid)
!
! Shear Modulus
G12 = G12_all(matid)
!
! Poisson's ratio
v12 = v12_all(matid)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! Backstress parameter
xi = backstressparam_all(matid,1)
!
!
do ip=1,numpt
!
!
!
!
!
!
! Reset backstress
X = 0.
!
!
rhoGND=0.
! Edges
do is = 1, nslip
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Edge dislocation density
rhoGNDe = statev_gnd(ie,ip,is)
!
!!
! rhoGND(is) = abs(statev_gnd(ie,ip,is))
!
!
! Backstress due to edges
X(is) = xi*G12/(1.-v12)*burgerv(is)*
+ sqrt(abs(rhoGNDe))*sign(1.0,gsum)
!
!
!
end do
!
!
!
! Screws
do i = 1, nscrew
!
is = screw(i)
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Screw dislocation density
rhoGNDs = statev_gnd(ie,ip,nslip+i)
!
! rhoGND(is) = rhoGND(is) +
! + abs(statev_gnd(ie,ip,nslip+i))
!
! Backstress due to screws
X(is) = X(is) + xi*G12*burgerv(is)*
+ sqrt(abs(rhoGNDs))*sign(1.0,gsum)
!
!
!
end do
!
!
!! Backstress
! do is = 1, nslip
!!
!! Sum of shear rates
! gsum = statev_gammasum(ie,ip,is)
!!
! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is))
! + *sign(1.0,gsum)
!!
! end do
!
!
! Assign to the global vector
statev_backstress(ie,ip,1:nslip) = X(1:nslip)
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
return
!
end subroutine backstressmodel2
!
!
end module backstress
================================================
FILE: Example - Residual deformation/cpsolver.f
================================================
! Oct. 1st, 2022
! Eralp Demir
! This module contains the solver schemes for crystal plasticity
!
module cpsolver
implicit none
contains
!
! This subroutine deals with
! global variables and their assignments
! before entering the main solver:
! 1. assigns the global variables to locals
! before calling the CP-solver
! 2. calls fge-predictor scheme before as
! spare solution
! 3. calls implicit or explicit CP-solvers
! 4. assigns the results to the glboal state variables
subroutine solve(noel, npt, dfgrd1, dfgrd0,
+ temp, dtemp, jstep, tstep, dt,
+ matid, pnewdt, nstatv, statev,
+ sigma, jacobi)
!
use globalvariables, only : dt_t,
+ statev_gmatinv, statev_gmatinv_t, statev_gmatinv_0,
+ statev_gammasum_t, statev_gammasum, statev_ssdtot_t,
+ statev_gammadot_t, statev_gammadot, statev_ssdtot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_loop_t, statev_loop,
+ statev_forest_t, statev_forest, statev_evmp_t, statev_evmp,
+ statev_substructure_t, statev_substructure, statev_sigma_t2,
+ statev_totgammasum_t, statev_totgammasum,
+ statev_tausolute_t, statev_tausolute, forestproj_all,
+ numslip_all, numscrew_all, phaseid_all,
+ dirc_0_all, norc_0_all, caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, alphamat_all, burgerv_all,
+ sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all,
+ slipmodel_all, slipparam_all, creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all, irradiationmodel_all,
+ irradiationparam_all, backstressparam_all, slip2screw_all,
+ statev_backstress_t, statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff, statev_Fr,
+ I3, I6, smallnum
!
use userinputs, only: constanttemperature, temperature,
+ predictor, maxnslip, maxnparam, maxxcr, cutback,
+ phi, maxnloop, stateupdate, readresidualstrainfile, tres
!
!
use usermaterials, only: materialparam
!
use crss, only: slipresistance, totalandforest
!
use useroutputs, only: assignoutputs, nstatv_outputs
!
use errors, only: error
!
use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6,
+ rotord4sig, gmatvec6
!
implicit none
!
! element no
integer, intent(in) :: noel
!
! ip no
integer, intent(in) :: npt
!
!
! current deformation gradient
real(8), intent(in) :: dfgrd1(3,3)
!
! former deformation gradient
real(8), intent(in) :: dfgrd0(3,3)
!
! ABAQUS temperature
real(8), intent(in) :: temp
!
! ABAQUS temperature increment
real(8), intent(in) :: dtemp
!
! step number
integer, intent(in) :: jstep
!
! step time
real(8), intent(in) :: tstep
!
! time step
real(8), intent(in) :: dt
!
! material id
integer, intent(in) :: matid
!
! time factor
real(8), intent(inout) :: pnewdt
!
! number of state variables - for postprocessing
integer, intent(in) :: nstatv
!
! state variables - postprocessing
real(8), intent(inout) :: statev(nstatv)
!
! Cauchy stress
real(8), intent(out) :: sigma(6)
!
! Material tangent
real(8), intent(out) :: jacobi(6,6)
!
! Local variables used within this subroutine
!
!
! phase-id
integer :: phaid
!
! number of slip systems
integer :: nslip
!
!
! Convergence flag (initially set to zero!)
!
! Flag for crystal plasticity explicit/implicit solver
integer :: cpconv
!
! Flag for Euler solver convergence
integer :: cpconv0
!
!
! Local state variables with known dimensions
! crystal to sample transformation initally
real(8) :: gmatinv_0(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv_t(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv(3,3)
! stress at the former time step
real(8) :: sigma_t(6), sigma_t33(3,3)
! rss/crsss ratio at the former time step
real(8) :: maxx_t
! rss/crsss ratio at the current time step
real(8) :: maxx
! elastic strains in the crystal reference at the former time step
real(8) :: Eec_t(6)
! elastic strains in the crystal reference at the current time step
real(8) :: Eec(6)
! plastic deformation gradient at the former time step
real(8) :: Fp_t(3,3)
! plastic deformation gradient at the current time step
real(8) :: Fp(3,3)
! thermal deformation gradient at the former time step
real(8) :: Fth_t(3,3)
! thermal deformation gradient at the current time step
real(8) :: Fth(3,3)
! determinant of the thermal deformation gradient
real(8) :: invFth(3,3), invFth_t(3,3), detFth, detFth_t
! residual deformation gradient
real(8) :: Fr(3,3), Fr_t(3,3), Fr0(3,3)
real(8) :: invFr(3,3), invFr_t(3,3), detFr, detFr_t
! mechanical deformation gradient at the former time step
real(8) :: F_t(3,3)
! mechanical deformation gradient at the current time step
real(8) :: F(3,3)
!
! Variables for velocity gradient calculation
! Fdot
real(8) :: Fdot(3,3)
! velocity gradient at the current time step
real(8) :: L(3,3)
! inverse of the deformation gradient
real(8) :: Finv(3,3)
! determinant of the deformation gradient
real(8) :: detF
!
! Local state variable arrays
! sum of slip per slip system
real(8) :: gammasum_t(numslip_all(matid))
real(8) :: gammasum(numslip_all(matid))
! slip rates
real(8) :: gammadot_t(numslip_all(matid))
real(8) :: gammadot(numslip_all(matid))
! slip resistance
real(8) :: tauc_t(numslip_all(matid))
real(8) :: tauc(numslip_all(matid))
! effective overall slip resistance
! (tauc0 + GND + SSD + solute + substructure + forest + etc.)
real(8) :: tauceff_t(numslip_all(matid))
real(8) :: tauceff(numslip_all(matid))
! Note the size of GND is different
! gnd density (nslip + nscrew)
real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid))
real(8) :: gnd(numslip_all(matid)+numscrew_all(matid))
!
! ssd density (nslip)
real(8) :: ssd_t(numslip_all(matid))
real(8) :: ssd(numslip_all(matid))
! loop density (maxnloop)
real(8) :: loop_t(maxnloop)
real(8) :: loop(maxnloop)
! total forest dislocation density - derived from other terms
real(8) :: rhofor_t(numslip_all(matid))
real(8) :: rhofor(numslip_all(matid))
! total density
real(8) :: rhotot_t(numslip_all(matid))
real(8) :: rhotot(numslip_all(matid))
! forest dislocation density as a state variable
real(8) :: forest_t(numslip_all(matid))
real(8) :: forest(numslip_all(matid))
!
!
! Scalar state variables
! equivalent Von-Mises plastic strain
real(8) :: evmp_t
real(8) :: evmp
!
! cumulative slip
real(8) :: totgammasum_t
real(8) :: totgammasum
!
! plastic dissipation power
real(8) :: plasdiss_t
real(8) :: plasdiss
!
! solute strength
real(8) :: tausolute_t
real(8) :: tausolute
! substructure density
real(8) :: substructure_t
real(8) :: substructure
! total density
real(8) :: ssdtot_t
real(8) :: ssdtot
! scalar cumulartive density
real(8) :: sumrhotot_t
real(8) :: sumrhotot
!
! material-related local variables
! number screw systems
integer :: nscrew
! slip model flag
integer :: smodel
! creep model flag
integer :: cmodel
! hardening model flag
integer :: hmodel
! irradiation mdoel flag
integer :: imodel
! cubic slip flag
integer :: cubicslip
! material temperature
real(8) :: mattemp
! c/a ratio for hcp materials
real(8) :: caratio
! compliance at the crystal reference
real(8) :: Cc(6,6)
! geometric factor
real(8) :: gf
! shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! thermal expansion coefficient
real(8) :: alphamat(3,3)
! slip parameters
real(8) :: sparam(maxnparam)
! creep parameters
real(8) :: cparam(maxnparam)
! hardening parameters
real(8) :: hparam(maxnparam)
! irradiation parameters
real(8) :: iparam(maxnparam)
! Backstress parameters
real(8) :: bparam(maxnparam)
! Burgers vector
real(8) :: burgerv(numslip_all(matid))
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(numslip_all(matid),numslip_all(matid))
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(numslip_all(matid),numslip_all(matid))
! Latent hardening
real(8) :: hintmat1(numslip_all(matid),numslip_all(matid))
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(numslip_all(matid),numslip_all(matid))
!
!
! slip direction and slip plane normal at the crystal reference (undeformed)
real(8) :: dirc_0(numslip_all(matid),3)
real(8) :: norc_0(numslip_all(matid),3)
! undeformed slip direction and slip plane normal at the sample reference
real(8) :: dirs_0(numslip_all(matid),3)
real(8) :: nors_0(numslip_all(matid),3)
! slip direction and slip plane normal at the sample reference
real(8) :: dirs_t(numslip_all(matid),3)
real(8) :: nors_t(numslip_all(matid),3)
!
! Forest projection operators for GND and SSD
real(8) :: forestproj(numslip_all(matid),
+ numslip_all(matid)+numscrew_all(matid))
!
! Slip to screw system map
real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid))
!
! Schmid Dyadic
real(8) :: Schmid_0(numslip_all(matid),3,3)
real(8) :: Schmid(numslip_all(matid),3,3)
real(8) :: Schmidvec(numslip_all(matid),6)
real(8) :: SchmidxSchmid(numslip_all(matid),6,6)
real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3)
real(8) :: nsi(6), sni(6)
!
!
!
! strain calculations
! total strain increment
real(8) :: dstran(6), dstran33(3,3)
! thermal strain increment
real(8) :: dstranth33(3,3), dstranth(6)
! total spin increment
real(8) :: domega(3)
! total spin (rate) 3x3 matrix
real(8) :: W(3,3), dW33(3,3)
!
! Elasticity transformation
! temporary array for elastic stiffness calculation
real(8) :: rot4(6,6)
! elasticity matrix at the deformed reference
real(8) :: Cs(6,6)
!
! Trial stress calculation
! trial stress
real(8) :: sigmatr(6)
!
! Backstress at current time
real(8) :: X(numslip_all(matid))
! Backstress at former time
real(8) :: X_t(numslip_all(matid))
! Backstress backup solution
real(8) :: X0(numslip_all(matid))
!
!
!
! Resolved shear stress calculation
! GUESS values
real(8) :: sigma0(6), jacobi0(6,6)
! 3x3 matrix form of the stress
real(8) :: sigma33(3,3)
! value of resolved shear stress
real(8) :: tau0(numslip_all(matid))
!
! value of resolved shear stress
real(8) :: tau_t(numslip_all(matid))
!
! value of trial resolved shear stress
real(8) :: tautr(numslip_all(matid))
! absolute value of resolved shear stress
real(8) :: abstautr(numslip_all(matid))
!
! dummy variables
real(8) :: dummy3(3), dummy33(3,3)
real(8) :: dummy33_(3,3)
real(8) :: dummy6(6), dummy66(6,6)
integer :: dum1, dum2, dum3
! unused variables
real(8) :: notused1(maxnslip)
real(8) :: notused2(maxnslip)
real(8) :: notused3(maxnslip)
! In case materials subroutine entered everytime
! Strength interaction between dislocations
real(8) :: notused4(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: notused5(maxnslip,maxnslip)
! Latent hardening
real(8) :: notused6(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: notused7(maxnslip,maxnslip)
! Initial forest and substructure densities
real(8) :: notused8, notused9
!
! counter
integer :: is, i, j
!
!
!
! Reset sparse arrays
notused1=0.;notused2=0.;notused3=0.
notused4=0.;notused5=0.
notused6=0.;notused7=0.
!
!
!
! convergence check initially
! if sinh( ) in the slip law has probably blown up
! then try again with smaller dt
if(any(dfgrd1 /= dfgrd1)) then
! Set the outputs to zero initially
sigma = 0.
jacobi = I6
! cut back time
pnewdt = cutback
! warning message in .dat file
call error(11)
! go to the end of subroutine
return
end if
!
!
!
! phase-id
phaid = phaseid_all(matid)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
!
!
!
! undeformed slip direction
dirc_0 = dirc_0_all(matid,1:nslip,1:3)
! undeformed slip plane normal
norc_0 = norc_0_all(matid,1:nslip,1:3)
!
!
! Forest projection for GND
forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew)
!
!
! Slip to screw system mapping
slip2screw = slip2screw_all(matid,1:nscrew,1:nslip)
!
!
! Assign the global state variables
! to the local variables
! at the former time step
gammasum_t = statev_gammasum_t(noel,npt,1:nslip)
gammadot_t = statev_gammadot_t(noel,npt,1:nslip)
tauc_t = statev_tauc_t(noel,npt,1:nslip)
gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew)
ssd_t = statev_ssd_t(noel,npt,1:nslip)
loop_t = statev_loop_t(noel,npt,1:maxnloop)
ssdtot_t = statev_ssdtot_t(noel,npt)
forest_t = statev_forest_t(noel,npt,1:nslip)
substructure_t = statev_substructure_t(noel,npt)
evmp_t = statev_evmp_t(noel,npt)
plasdiss_t = statev_plasdiss_t(noel,npt)
totgammasum_t = statev_totgammasum_t(noel,npt)
tausolute_t = statev_tausolute_t(noel,npt)
sigma_t = statev_sigma_t(noel,npt,:)
Fp_t = statev_Fp_t(noel,npt,:,:)
Fth_t = statev_Fth_t(noel,npt,:,:)
Eec_t = statev_Eec_t(noel,npt,:)
! Crystal orientations at former time step
gmatinv_t = statev_gmatinv_t(noel,npt,:,:)
! Initial orientation
gmatinv_0 = statev_gmatinv_0(noel,npt,:,:)
! Backstress at former time step
X_t = statev_backstress_t(noel,npt,1:nslip)
!
! residual deformation gradient
Fr0=statev_Fr(noel,npt,:,:)
!
! Material parameters are constant
caratio = caratio_all(matid)
cubicslip = cubicslip_all(matid)
Cc = Cc_all(matid,:,:)
gf = gf_all(matid)
G12 = G12_all(matid)
alphamat = alphamat_all(matid,:,:)
burgerv = burgerv_all(matid,1:nslip)
!
!
sintmat1 = sintmat1_all(matid,1:nslip,1:nslip)
sintmat2 = sintmat2_all(matid,1:nslip,1:nslip)
hintmat1 = hintmat1_all(matid,1:nslip,1:nslip)
hintmat2 = hintmat2_all(matid,1:nslip,1:nslip)
!
!
!
smodel = slipmodel_all(matid)
sparam = slipparam_all(matid,1:maxnparam)
cmodel = creepmodel_all(matid)
cparam = creepparam_all(matid,1:maxnparam)
hmodel = hardeningmodel_all(matid)
hparam = hardeningparam_all(matid,1:maxnparam)
imodel = irradiationmodel_all(matid)
iparam = irradiationparam_all(matid,1:maxnparam)
bparam = backstressparam_all(matid,1:maxnparam)
!
!
!
!
! Temperature is constant and defined by the user
if (constanttemperature == 1) then
!
!
! Assign temperature
mattemp = temperature
!
!
!
! Temperature is defined by ABAQUS
! Material properties are entered every time
! Because properties can be temperature dependent
else if (constanttemperature == 0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
! get material constants
call materialparam(matid,mattemp,
+ dum1,dum2,dum3,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here
+ notused2,notused3,notused8,notused9,
+ smodel,sparam,cmodel,cparam,
+ hmodel,hparam,imodel,iparam,
+ notused4,notused5,notused6,
+ notused7,bparam) ! Interaction matrices are not updated here
!
!
!
!
!
end if
!
!
!
! Slip directions in the initial sample reference
call rotateslipsystems(phaid,nslip,caratio,
+ gmatinv_0,dirc_0,norc_0,dirs_0,nors_0)
!
do is=1,nslip
!
! Slip direction
sdir = dirs_0(is,:)
! Slip plane normal
ndir = nors_0(is,:)
!
do i=1,3
do j=1,3
SNij(i,j) = sdir(i)*ndir(j)
Schmid_0(is,i,j) = SNij(i,j)
enddo
enddo
!
end do
!
!
!
! Slip directions in the sample reference
call rotateslipsystems(phaid,nslip,caratio,
+ gmatinv_t,dirc_0,norc_0,dirs_t,nors_t)
!
!
! Calculate Schmid tensors and Schmid dyadic
Schmid=0.; SchmidxSchmid=0.
do is=1,nslip
!
! Slip direction
sdir = dirs_t(is,:)
! Slip plane normal
ndir = nors_t(is,:)
!
do i=1,3
do j=1,3
SNij(i,j) = sdir(i)*ndir(j)
NSij(j,i) = ndir(j)*sdir(i)
Schmid(is,i,j) = SNij(i,j)
enddo
enddo
!
!
!
!
call gmatvec6(SNij,sni)
!
call gmatvec6(NSij,nsi)
!
! Vectorized Schmid tensor
Schmidvec(is,1:6) = sni
!
do i=1,6
do j=1,6
SchmidxSchmid(is,i,j)=sni(i)*nsi(j)
enddo
enddo
!
enddo
!
!
!
! Calculate total and forest density
call totalandforest(phaid, nscrew, nslip,
+ gnd_t, ssd_t,
+ ssdtot_t, forest_t,
+ forestproj, slip2screw, rhotot_t,
+ sumrhotot_t, rhofor_t)
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv, sintmat1, sintmat2, tauc_t,
+ rhotot_t, sumrhotot_t, rhofor_t, substructure_t,
+ tausolute_t, loop_t, hmodel, hparam, imodel, iparam,
+ mattemp, tauceff_t)
!
!
!
!
! Elastic stiffness in the sample reference
!
! Rotation matrix - special for symmetric 4th rank transformation
call rotord4sig(gmatinv_t,rot4)
!
!
!
! Elasticity tensor in sample reference
dummy66=matmul(rot4,Cc)
Cs = matmul(dummy66,transpose(rot4))
!
!! To avoid numerical problems
! Cs = (Cs + transpose(Cs))/2.
!
!
F = dfgrd1
!
F_t = dfgrd0
!
!
!
! CALCULATION OF THERMAL STRAINS
!
! No thermal strains
if (constanttemperature == 1) then
!
!
dstranth33 = 0.
dstranth = 0.
!
!
Fth = Fth_t
!
call inv3x3(Fth,invFth,detFth)
invFth_t=invFth
detFth_t=detFth
!
! Thermal strains if temperature change is defined by ABAQUS
else
!
! Thermal eigenstrain in the crystal reference system
dstranth33 = dtemp*alphamat
!
! Transform the thermal strains to sample reference
dstranth33 = matmul(matmul(gmatinv_t,dstranth33),
+ transpose(gmatinv_t))
!
! vectorize
call matvec6(dstranth33,dstranth)
!
! Shear corrections
dstranth(4:6) = 2.0*dstranth(4:6)
!
!
! Thermal deformation gradient
Fth = Fth_t + dstranth33
!
call inv3x3(Fth,invFth,detFth)
call inv3x3(Fth_t,invFth_t,detFth_t)
!
end if
!
! CALCULATION OF RESIDUAL STRAINS
!
! Residual strains
if (readresidualstrainfile==1) then
!
! residual strains will be applied at the very first step
! linearly ramp the residual deformation
if (jstep==1) then
Fr = (Fr0-I3)*(tstep+dt)/tres + I3
Fr_t = (Fr0-I3)*tstep/tres + I3
else
Fr = Fr0
end if
!
call inv3x3(Fr,invFr,detFr)
call inv3x3(Fr_t,invFr_t,detFr_t)
!
! No residual strains
else
!
Fr=0.; Fr_t=0.
invFr=0.; invFr_t=0.
do i=1,3
Fr(i,i)=1.
Fr_t(i,i)=1.
invFr(i,i)=1.
invFr_t(i,i)=1.
end do
!
detFr=1.; detFr_t=1.
!
end if
!
! Subtract the initial distortions from the total deformation gradient
F = matmul(invFth,matmul(invFr,F))
F_t = matmul(invFth_t,matmul(invFr_t,F_t))
!
! Compute the stress at the mechanical framework
dummy33 = matmul(invFth_t,invFr_t)
!
! Convert the stress to 3x3 matrix
call vecmat6(sigma_t,sigma_t33)
! Pull-back
sigma_t33=matmul(dummy33,matmul(sigma_t33,transpose(dummy33)))
+ *detFr_t*detFth_t
!
! Convert back to a vector
call matvec6(sigma_t33,sigma_t)
!
! MECHANICAL PART OF THE DEFORMATION GRADIENT
! Calculate velocity gradient
! Rate of deformation gradient
Fdot = (F - F_t) / dt
!
! Inverse of the deformation gradient
call inv3x3(F,Finv,detF)
!
! Velocity gradient
L = matmul(Fdot,Finv)
!
!
!
!
!
!
! CALCULATION OF TOTAL & MECHANICAL STRAINS
!
! Total stain increment from velocity gradient
dstran33=(L+transpose(L))*0.5*dt
!
!
!
call matvec6(dstran33,dstran)
!
! Shear corrections
dstran(4:6) = 2.0*dstran(4:6)
!
!
! Total spin
W=(L-transpose(L))*0.5
!
!
!
! Total spin increment - components
! This is corrected as follows: Eralp - Alvaro 19.02.2023
! The solution in Huang et al gives the negative -1/2*W
! We obtained the spin directly from velocity gradient
! 1. It is positive
! 2. It has to be divided by 2
domega(1) = W(1,2) - W(2,1)
domega(2) = W(3,1) - W(1,3)
domega(3) = W(2,3) - W(3,2)
domega = domega * dt / 2.
!
!
!
!
!
!
! CALCULATION OF TRIAL STRESS
!
! Trial stress
sigmatr = sigma_t + matmul(Cs,dstran)
!
!
!
!
!
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau_t(is) = dot_product(Schmidvec(is,:),sigma_t)
end do
!
!
!
! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
abstautr(is) = abs(tautr(is))
end do
!
!
! maximum ratio of rss to crss
maxx = maxval(abstautr/tauceff_t)
!
!
!
!
! DECISION FOR USING CRYSTAL PLASTICITY
! BASED ON THRESHOLD VALUE
!
! Elastic solution
if (maxx <= maxxcr) then
!
!
!
!
! stress
sigma = sigmatr
!
! material tangent
jacobi = Cs
!
!
! Assign the global state variables
! For NO SLIP condition
totgammasum=totgammasum_t
gammasum=gammasum_t
gammadot=0.
tauceff=tauceff_t
tauc=tauc_t
gnd=gnd_t
ssd=ssd_t
loop = loop_t
ssdtot=ssdtot_t
forest=forest_t
substructure=substructure_t
evmp=evmp_t
plasdiss=plasdiss_t
tausolute=tausolute_t
Fp=Fp_t
Fth=Fth_t
X=X_t
cpconv=1
cpconv0=0
!
! Update orietnations
! All the orientation changes are elastic - rotations
dW33=0.
dW33(1,2) = domega(1)
dW33(1,3) = -domega(2)
dW33(2,1) = -domega(1)
dW33(2,3) = domega(3)
dW33(3,1) = domega(2)
dW33(3,2) = -domega(3)
!
gmatinv = gmatinv_t + matmul(dW33,gmatinv_t)
!
! Elastic strains in the crystal lattice
! Add the former elastic strains
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dummy33)
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dummy33)
dummy33 = matmul(dummy33_,gmatinv)
!
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
Eec=Eec_t+dummy6
!
!
!
!
! Solve using crystal plasticity
else
!
!
!
! Guess if Forward Gradient Predictor scheme is not active
if (predictor == 0) then
!
sigma0 = (1.-phi)*sigma_t + phi*sigmatr
!
!
!
! This part is added by Chris Hardie (11/05/2023)
! Former stress scheme
elseif (predictor == 1) then
!
!
!
if (dt_t > 0.0) then
!
do i = 1, 6
sigma0(i) =
+ statev_sigma_t(noel,npt,i) +
+ (statev_sigma_t(noel,npt,i) -
+ statev_sigma_t2(noel,npt,i))*dt/dt_t
end do
!
else
sigma0 = sigma_t
end if
!
!
!
!
!
!
!
!
!
!
end if
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau0(is) = dot_product(Schmidvec(is,:),sigma0)
end do
!
!
!
call CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0, sigmatr,
+ forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ smodel, sparam, cmodel, cparam,
+ imodel, iparam, hmodel, hparam,
+ bparam, sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t,
+ rhofor_t, forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, W, F, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
!
!
!
!
!
!
!
!
!
! STILL NOT CONVERGED THE CUTBACK TIME
! Convergence check
! Use cpsolver did not converge
! Diverged! - use time cut backs
if (cpconv == 0) then
!
! Set the outputs to zero initially
sigma = 0.!statev_sigma_t(noel,npt,:)
jacobi = 0.!statev_jacobi_t(noel,npt,:,:)
! Set time cut back and send a message
pnewdt = cutback
!
endif
!
!
!
!
endif
!
! Convert the stress to 3x3 matrix
call vecmat6(sigma,sigma33)
!
! Compute the stress at the mechanical framework
dummy33 = matmul(Fr,Fth)
!
! Push-forward stress
sigma33=matmul(dummy33,matmul(sigma33,transpose(dummy33)))
+ /detFr/detFth
!
! Convert back to a vector
call matvec6(sigma33,sigma)
!
! Correct the Jacobi for volumetric changes
! Ignore rotations
jacobi=jacobi/detFr/detFth
!
!
!
! Assign the global state variables
statev_gammasum(noel,npt,1:nslip)=gammasum
statev_gammadot(noel,npt,1:nslip)=gammadot
statev_tauc(noel,npt,1:nslip)=tauc
statev_ssd(noel,npt,1:nslip)=ssd
statev_loop(noel,npt,1:maxnloop)=loop
statev_ssdtot(noel,npt)=ssdtot
statev_forest(noel,npt,1:nslip)=forest
statev_substructure(noel,npt)=substructure
statev_evmp(noel,npt)=evmp
statev_maxx(noel,npt)=maxx
statev_totgammasum(noel,npt)=totgammasum
statev_tausolute(noel,npt)=tausolute
statev_sigma(noel,npt,1:6)=sigma
statev_jacobi(noel,npt,1:6,1:6)=jacobi
statev_Fp(noel,npt,1:3,1:3)=Fp
statev_Fth(noel,npt,1:3,1:3)=Fth
statev_Eec(noel,npt,1:6)=Eec
! Crystal orientations at former time step
statev_gmatinv(noel,npt,1:3,1:3)=gmatinv
! Backstress
statev_backstress(noel,npt,1:nslip)=X
! Plastic dissipation power density
statev_plasdiss(noel,npt)=plasdiss
! Overall CRSS
statev_tauceff(noel,npt,1:nslip)=tauceff
!
! Write the outputs for post-processing
! If outputs are defined by the user
if (nstatv_outputs>0) then
!
call assignoutputs(noel,npt,nstatv,statev)
!
end if
!
!
!
!
!
!
return
end subroutine solve
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Semi-implicit / Explicit state update rule
! Solution using state variables at the former time step
subroutine CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0,
+ sigmatr, forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ slipmodel, slipparam,
+ creepmodel, creepparam,
+ irradiationmodel, irradiationparam,
+ hardeningmodel, hardeningparam,
+ backstressparam,
+ sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t, rhofor_t,
+ forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, W, F, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnloop,
+ tauctolerance , SVDinversion,
+ backstressmodel, stateupdate, inversebackup
!
use innerloop, only : Dunne_innerloop, Hardie_innerloop
!
use utilities, only : vecmat6, matvec6,
+ nolapinverse, deter3x3, inv3x3, trace3x3,
+ vecmat9, matvec9, nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use hardening, only: hardeningrules
!
use backstress, only: backstressmodel1
!
use crss, only: slipresistance, totalandforest
!
use errors, only : error
!
implicit none
!
!
! INPUTS
!
! material-id
integer, intent(in) :: matid
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! number of screw sytems
integer, intent(in) :: nscrew
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! geometric factor
real(8), intent(in) :: gf
! elastic shear modulus
real(8), intent(in) :: G12
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! plastic part of the deformation gradient at former time step
real(8), intent(in) :: Fp_t(3,3)
! Crystal to sample transformation martrix at former time step
real(8), intent(in) :: gmatinv_t(3,3)
! Lattice strains
real(8), intent(in) :: Eec_t(6)
! slip rates at the former time step
real(8), intent(in) :: gammadot_t(nslip)
! total slip per slip system accumulated over the time
! at the former time step
real(8), intent(in) :: gammasum_t(nslip)
! overall total slip at the former time step
real(8), intent(in) :: totgammasum_t
! Von-Mises equivalent total plastic strain at the former time step
real(8), intent(in) :: evmp_t
! Plastic dissipation power density at the former time step
real(8), intent(in) :: plasdiss_t
! Cauchy stress guess
real(8), intent(in) :: sigma0(6)
! rss guess
real(8), intent(in) :: tau0(nslip)
! trial stress
real(8), intent(in) :: sigmatr(6)
! Forest projections
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
! Forest projections
real(8), intent(in) :: slip2screw(nscrew,nslip)
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! hardening model no.
integer, intent(in) :: hardeningmodel
! hardening model parameters
real(8), intent(in) :: hardeningparam(maxnparam)
! backstress model parameters
real(8), intent(in) :: backstressparam(maxnparam)
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
!
! overall crss
real(8), intent(in) :: tauceff_t(nslip)
! crss at former time step
real(8), intent(in) :: tauc_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: rhotot_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: sumrhotot_t
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: ssdtot_t
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor_t(nslip)
! forest dislocation density per slip system at the former time step (hardening model = 4)
real(8), intent(in) :: forest_t(nslip)
! substructure dislocation density at the former time step
real(8), intent(in) :: substructure_t
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: gnd_t(nslip+nscrew)
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: ssd_t(nslip)
! loop defect density per slip system at the former time step
real(8), intent(in) :: loop_t(maxnloop)
! backstress at former time step
real(8), intent(in) :: X_t(nslip)
! time increment
real(8), intent(in) :: dt
! total velocity gradient at the current time step
real(8), intent(in) :: L(3,3)
! total spin
real(8), intent(in) :: W(3,3)
! total deformation gradient
real(8), intent(in) :: F(3,3)
! mechanical strain increment
real(8), intent(in) :: dstran(6)
!
!
!
! OUTPUTS
!
! plastic part of the deformation gradient
real(8), intent(out) :: Fp(3,3)
! Crystal to sample transformation martrix at current time step
real(8), intent(out) :: gmatinv(3,3)
! Green-Lagrange strains in the crystal reference
real(8), intent(out) :: Eec(6)
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(out) :: gammasum(nslip)
! overall total slip at the current time step
real(8), intent(out) :: totgammasum
! Von-Mises equivalent total plastic strain at the current time step
real(8), intent(out) :: evmp
! Plastic dissipation power density at the current time step
real(8), intent(out) :: plasdiss
! Current values of state variables
! overall crss
real(8), intent(out) :: tauceff(nslip)
! crss at the current time step
real(8), intent(out) :: tauc(nslip)
! solute strength due to irradiation hardening
real(8), intent(out) :: tausolute
! total dislocation density over all slip systems at the current time step
real(8), intent(out) :: ssdtot
! forest dislocation density per slip system at the current time step
real(8), intent(out) :: forest(nslip)
! substructure dislocation density at the current time step
real(8), intent(out) :: substructure
! statistically-stored dislocation density per slip system at the current time step
real(8), intent(out) :: ssd(nslip)
! loop defect density per slip system at the current time step
real(8), intent(out) :: loop(maxnloop)
! crss at the current time step
real(8), intent(out) :: X(nslip)
! Cauchy stress
real(8), intent(out) :: sigma(6)
! material tangent
real(8), intent(out) :: jacobi(6,6)
! convergence flag
integer, intent(out) :: cpconv
!
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3), Dp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3), Dp_c(3,3)
! plastic velocity gradient
real(8) Lp(3,3), Dp(3,3), dstranp(6)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto crss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto crss for creep
real(8) dgammadot_dtauc_c(nslip)
!
!
! rss at the former time step
real(8) :: tau(nslip)
! absolute RSS and sign (used in Hardie scheme)
real(8) :: abstau(nslip), signtau(nslip)
!
! trial absolute RSS and sign (used in Hardie scheme)
real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
! Von-Mises equivalent plastic strain rate and increment
real(8) :: pdot
!
! stress increment
real(8) :: dsigma(6)
!
! stress 3x3 matrix
real(8) :: sigma33(3,3)
!
! plastic part of the deformation gradient
real(8) :: detFp, invFp(3,3)
!
! elastic part of the deformation gradient
real(8) :: detFe, Fe(3,3), invFe(3,3)
!
! inverse of thermal deformation gradient
real(8) :: detFth, invFth(3,3)
!
! inverse of residual deformation gradient
real(8) :: detFr, invFr(3,3)
!
! corrected plastic velocity gradient
real(8) :: Lp_(3,3)
!
! elastic part of the velocity gradient
real(8) :: Le(3,3)
!
! elastic spin
real(8) :: We(3,3)
!
! increment in rotation matrix
real(8) :: dR(3,3)
!
! Von-Mises stress
real(8) :: sigmaii, vms, sigmadev(3,3)
!
! Co-rotational stress update
real(8) :: dotsigma33(3,3)
!
! Cauchy stress at former time step in 3x3
real(8) :: sigma33_t(3,3)
!
! Total mechanical strain increment
real(8) :: dstran33(3,3)
!
! plastic strain increment
real(8) :: dstranp33(3,3)
!
! elastic strain increment
real(8) :: dstrane33(3,3)
!
! crss increment
real(8) :: dtauc(nslip)
!
!
! ssd density increment
real(8) :: dssd(nslip)
!
! ssd density increment
real(8) :: dloop(maxnloop)
!
! backstress increment
real(8) :: dX(nslip)
!
! total ssd density increment
real(8) :: dssdtot
!
! forest dislocation density increment
real(8) :: dforest(nslip)
!
! substructure dislocation density increment
real(8) :: dsubstructure
!
! Residues
real(8) :: dtauceff(nslip), tauceff_old(nslip)
!
!
! overall forest density
real(8) :: rhofor(nslip)
!
! overall total density
real(8) :: rhotot(nslip)
!
! overall total scalar density
real(8) :: sumrhotot
!
! Overall residue
real(8) :: dtauceffnorm
!
! error flag for svd inversion
integer :: err
!
! other variables
real(8) :: dummy3(3), dummy33(3,3),
+ dummy33_(3,3), dummy6(6), dummy0
integer :: is, il, iter, oiter
integer :: iterinverse
!
!
! Set convergence flag to "converged"
cpconv = 1
!
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
!
!
! State assignments
gammasum=gammasum_t
tauc = tauc_t
tauceff = tauceff_t
ssdtot = ssdtot_t
ssd = ssd_t
loop = loop_t
rhofor = rhofor_t
X = X_t
forest = forest_t
substructure = substructure_t
!
! Reset variables for the inner iteration
oiter = 0
dtauceffnorm = 1.
!
!
! Outer loop for state update
do while ((dtauceffnorm >= tauctolerance)
+.and.(oiter < maxniter).and.(cpconv==1))
!
!
!
!
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
end if
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
endif
!
!
! Inverse scheme start here!!!
! Try inverse scheme if not converged
if ((cpconv==0).and.(inversebackup==1)) then
!
! Reset convergence flag
cpconv=1
!
! Calculate trial-resolved shear stress on slip systems
! Absolute value of trial-RSS and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
signtautr(is) = sign(1.0,tautr(is))
abstautr(is) = abs(tautr(is))
end do
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
! Absolute value of RSS and its sign
do is = 1, nslip
signtau(is) = sign(1.0,tau0(is))
abstau(is) = abs(tau0(is))
end do
!
! Reverse slip scheme
call Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
!
!
!
! Recalculate RSS on slip systems
! RSS and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! Call the Dunne solver again
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
! assign jacobi and stress
if (cpconv == 0) then
return
end if
!
end if
! End of inverse solution
!
!
!
! Calculate Von Mises invariant plastic strain rate
pdot=sqrt(2./3.*sum(Dp*Dp))
!
!
! Total plastic strain increment
evmp = evmp_t + pdot*dt
!
! Total slip over time per slip system
gammasum = 0.
do is = 1, nslip
!
gammasum(is) = gammasum_t(is) +
+ gammadot(is)*dt
!
enddo
!
!
! Total slip
totgammasum = totgammasum_t +
+ sum(abs(gammadot))*dt
!
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
!
!
!
!
! Update the states using hardening laws
call hardeningrules(phaid,nslip,
+ mattemp,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,
+ tauc_t,ssd_t,loop_t,
+ rhofor_t,rhotot_t,substructure_t,
+ tausolute,dtauc,dssdtot,dforest,
+ dsubstructure,dssd,dloop)
!
!
!
!
! Update the hardening states
!
tauc = tauc_t + dtauc
!
ssd = ssd_t + dssd
!
loop = loop_t + dloop
!
ssdtot = ssdtot_t + dssdtot
!
forest = forest_t + dforest
!
substructure = substructure_t + dsubstructure
!
!
!
! Recalculate total and forest density
call totalandforest(phaid,
+ nscrew, nslip, gnd_t,
+ ssd, ssdtot, forest,
+ forestproj, slip2screw, rhotot,
+ sumrhotot, rhofor)
!
!
!
! Store the former value of effective tauc
tauceff_old = tauceff
!
! Recalculate slip resistance for the next iteration
! Calculate crss
call slipresistance(phaid, nslip,
+ gf, G12, burgerv, sintmat1, sintmat2,
+ tauc, rhotot, sumrhotot, rhofor,
+ substructure, tausolute, loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff)
!
!
! Calculate the change of state
! with respect to the former increment
dtauceff = abs(tauceff-tauceff_old)
!
! Explicit state update
if (stateupdate==0) then
dtauceffnorm = 0.
! Semi-implicit state update
elseif (stateupdate==1) then
dtauceffnorm = maxval(dtauceff)
end if
!
!
!
! Check if the statevariables going negative due to softening
! This may happen at high temperature and strain rates constants going bad
if(any(tauc < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(any(ssd < 0.)) then
! did not converge
cpconv = 0
return
endif
!
! Loop density set to zero if negative
do il = 1, maxnloop
if(loop(il) < 0.) then
!
loop(il) = 0.
!
endif
enddo
!
!
if(any(forest < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(substructure < 0.) then
! did not converge
cpconv = 0
return
endif
!
!
! Update backstress if local model is selected
if (backstressmodel==1) then
!
call backstressmodel1(backstressparam,
+ nslip,X,gammadot,dt,dX)
!
! Update the backstress
X = X_t + dX
!
end if
!
!
! increment iteration no.
oiter = oiter + 1
!
! End of state update (outer loop)
end do
!
!
!
! convergence check
if (oiter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
!
! calculate jacobian
jacobi = matmul(invdpsi_dsigma,Cs)
!
!
!
! Check for NaN in the jacobi matrix
if(any(jacobi/=jacobi)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
! convert it to 3x3 marix
call vecmat6(sigma,sigma33)
!
! Trace of stress
call trace3x3(sigma33,sigmaii)
!
! deviatoric stress
sigmadev = sigma33 - sigmaii*I3/3.
!
! Von-Mises stress
vms = sqrt(3./2.*(sum(sigmadev*sigmadev)))
!
!
! variables for plastic part of the deformation gradient
!dummy33 = I3 - Lp*dt
!call inv3x3(dummy33,dummy33_,dummy0)
dummy33_ = I3 + Lp*dt
!
! plastic part of the deformation gradient
Fp = matmul(dummy33_,Fp_t)
!
! determinant
call deter3x3(Fp,detFp)
!
!
!
!
! check wheter the determinant is negative
! or close zero
if (detFp <= smallnum) then
! did not converge
cpconv = 0
return
else
! Scale Fp with its determinant to make it isochoric
Fp = Fp / detFp**(1./3.)
!
end if
!
!
! Calculate inverse of the plastic deformation gradient
call inv3x3(Fp,invFp,detFp)
!
! Calculate the elastic deformation
Fe = matmul(F,invFp)
!
! Calculate inverse of the elastic deformation gradient
call inv3x3(Fe,invFe,detFe)
!
! Corrected Lp
Lp_ = matmul(matmul(Fe,Lp),invFe)
!
!
! Elastic part of the velocity gradient
Le = L - Lp_
!
! Elastic spin
We = (Le - transpose(Le)) / 2.
!
!
!
! stress rate due to spin
dotsigma33 = matmul(W,sigma33) - matmul(sigma33,W)
!
!
! Update co-rotational sress state
sigma33 = sigma33 + dotsigma33*dt
!
!
! Vectorize stress
call matvec6(sigma33,sigma)
!
!
!
!
!
! Orientation update
!
! Intermediate variable
dR = I3 + We*dt
!
!
!
!
! Update the crystal orientations
gmatinv = matmul(dR, gmatinv_t)
!
!
dstrane33=Fe-I3
!
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dstrane33)
dummy33 = matmul(dummy33_,gmatinv)
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
! Add the strain increment to the former value
Eec=Eec_t+dummy6
!
!
! Plastic dissipation power density
plasdiss=0.
do is = 1, nslip
!
plasdiss = plasdiss +
+ tau(is)*gammadot(is)*dt
!
enddo
!
!
! Sum over the fomer value
plasdiss = plasdiss_t + plasdiss
!
!
!
!
!
!
!
!
!
!
!
return
end subroutine CP_Dunne
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Implicit state update rule
! Solution using the updated state variables
subroutine rotateslipsystems(iphase,nslip,caratio,
+ gmatinv,dirc,norc,dirs,nors)
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nslip
real(8), intent(in) :: caratio
real(8), intent(in) :: gmatinv(3,3)
real(8), intent(in) :: dirc(nslip,3)
real(8), intent(in) :: norc(nslip,3)
real(8), intent(out) :: dirs(nslip,3)
real(8), intent(out) :: nors(nslip,3)
!
integer :: i, is
real(8) :: tdir(3), tnor(3)
real(8) :: tdir1(3), tnor1(3)
real(8) :: dirmag, normag
!
dirs=0.;nors=0.
!
!
do is=1,nslip ! rotate slip directions
!
tdir = dirc(is,:)
tnor = norc(is,:)
!
!
!
tdir1 = matmul(gmatinv,tdir)
tnor1 = matmul(gmatinv,tnor)
!
dirmag = norm2(tdir1)
normag = norm2(tnor1)
!
!
dirs(is,:) = tdir1/dirmag
nors(is,:) = tnor1/normag
!
!
end do
!
!
!
!
return
end subroutine rotateslipsystems
!
!
!
!
!
!
!
!
!
!
!
!
!
end module cpsolver
================================================
FILE: Example - Residual deformation/creep.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Creep laws
! 1. exponential law (used for Ni-superalloy)
!
module creep
implicit none
contains
!
!
subroutine expcreep(Schmid_0,
+ Schmid,SchmidxSchmid,tau,X,tauc,
+ dtime,nslip,iphase,T,creepparam,slipsysplasstran,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc)
!
use globalvariables, only : Rgas
use utilities, only : gmatvec6
use userinputs, only: maxnparam
implicit none
! Schmid tensor - undeformed
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor - deformed
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! time increment
real(8), intent(in) :: dtime
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: creepparam(maxnparam)
! accumulated plastic strain on each slip system, signed
real(8), intent(in) :: slipsysplasstran(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd
real(8) :: abstau, signtau
integer :: is
!
!
!
!
! Obtain creep parameters
! reference creep rate (1/s)
gammadotc = creepparam(1)
! creep stress multiplier (1/MPa)
bc = creepparam(5)
! activation energy for creep (J/mol)
Qc = creepparam(3)
! reference damage rate (1/s)
gammadotd = creepparam(4)
! damage stress multiplier (1/MPa)
bd = creepparam(5)
! activation energy for damage (J/mol)
Qd = creepparam(6)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
!
gammadot=0.
dgammadot_dtau=0.
dgammadot_dtauc=0.
!
!
!
! contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! This statement is redundant so commented out!
! if (abstau > 0.0) then
!
!
gammadot(is) =
+ signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) +
+ signtau*abs(slipsysplasstran(is))*gammadotd*
+ exp(bd*abstau-Qd/Rgas/T)
!
dgammadot_dtau(is) = gammadotc*bc*
+ exp(bc*abstau-Qc/Rgas/T) +
+ abs(slipsysplasstran(is))*
+ gammadotd*bd*exp(bd*abstau-Qd/Rgas/T)
!
!
!
!
! contribution to Jacobian
Pmat = Pmat + dtime*dgammadot_dtau(is)
+ *SchmidxSchmid(is,:,:)
!
! plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
!
! plastic velocity gradient contribution
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
! endif
!
!
!
end do
!
!
!
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
!
end subroutine expcreep
!
!
!
!
!
end module creep
================================================
FILE: Example - Residual deformation/crss.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module crss
implicit none
contains
!
! ********************************************************
! ** crss calculates the crss of slip systems **
! ********************************************************
subroutine slipresistance(iphase,nslip,gf,G12,
+ burgerv,sintmat1,sintmat2,
+ tauc0,rhotot,sumrhotot,rhofor,
+ rhosub,tausolute,loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel,irradiationparam,
+ temperature,
+ tauc)
use userinputs, only: useaveragestatevars,
+ maxnloop, maxnparam
implicit none
!
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! geometric factor
real(8),intent(in) :: gf
!
! shear modulus for taylor dislocation law
real(8),intent(in) :: G12
!
! burgers vectors
real(8),intent(in) :: burgerv(nslip)
!
! Strength interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
!
!
! critical resolved shear stress of slip systems
real(8),intent(in) :: tauc0(nslip)
!
! total dislocation density (immobile)
real(8),intent(in) :: rhotot(nslip)
!
! total scalar dislocation density (immobile)
real(8),intent(in) :: sumrhotot
!
! forest dislocation density
real(8),intent(in) :: rhofor(nslip)
!
! substructure dislocation density
real(8),intent(in) :: rhosub
!
! increase in tauc due to solute force
real(8),intent(in) :: tausolute
!
! increase in tauc due to loop defects
real(8),intent(in) :: loop(maxnloop)
!
! hardeningmodel
integer,intent(in) :: hardeningmodel
!
! hardening model parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! activate irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! current temperature
real(8),intent(in) :: temperature
!
! critical resolved shear stress of slip systems
real(8),intent(out) :: tauc(nslip)
!
! variables used in this subroutine
integer :: is, il, nloop
real(8) :: Ploop(nslip)
!
! Subtructure density
real(8) :: tausub(nslip)
! Substructure factor
real(8) :: ksub
!
! Precipitate strengthening parameters
! Strength factor / geometric factor
real(8) :: gfp
! Number density of precipitates [1/mm^3]
real(8) :: rhop
! Particle diameter [mm]
real(8) :: Dp
!
!
! Reset the density of loops
Ploop = 0.
!
! Reset Substructure density
tausub = 0.
!
!
! Reset Precipitate strength
if (hardeningmodel==5) then
! Precipitate strength parameters
gfp=hardeningparam(5)
rhop=hardeningparam(6)
Dp=hardeningparam(7)
else
gfp=0.; rhop=0.; Dp=0.
end if
!
!
!
! If irradiation model-2 is set ON
! Compute the strength contribution
if (irradiationmodel==2) then
!
! Number of defects
nloop = int(irradiationparam(1))
!
do is = 1, nslip
!
!
do il = 1, 3
!
Ploop(is) = Ploop(is) +
+ sintmat2(is,il)**2. * loop(il)
!
end do
!
end do
!
!
!
end if
!
!
!
!
!
!
!
! Check crystal type
! Only for alpha-uranium there is an exception
!
!
!
! Defined by data fitting
! as a function of rhofor, rhosub, and temperature
if (iphase == 4) then
!
! alpha-uranium model with forest and substructure dislocations
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome
! Deformation of wrought uranium: experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) +
+ 1.8218 * dsqrt(rhosub) *
+ log(1. / burgerv(1) / dsqrt(rhosub))
tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) +
+ 1.7995 * dsqrt(rhosub) *
+ log(1. / burgerv(2) / dsqrt(rhosub))
tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(3) / dsqrt(rhosub))
tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(4) / dsqrt(rhosub))
tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(5) / dsqrt(rhosub))
tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(6) / dsqrt(rhosub))
tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(7) / dsqrt(rhosub))
tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(8) / dsqrt(rhosub))
!
! zecevic 2016 temperature dependence
tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0)
tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0)
tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0)
tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0)
tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0)
tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0)
tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0)
tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0)
!
! daniel, lesage, 1971 minimum value as minima
tauc(1) = max(tauc(1),4.0)
tauc(2) = max(tauc(2),4.0)
tauc(3) = max(tauc(3),4.0)
tauc(4) = max(tauc(4),4.0)
tauc(5) = max(tauc(5),4.0)
tauc(6) = max(tauc(6),4.0)
tauc(7) = max(tauc(7),4.0)
tauc(8) = max(tauc(8),4.0)
!
!
!
! For any other phase
! Use forest/total dislocation spacing to determine the strength
!
else
!
! Substructure density
if (hardeningmodel==4) then
!
do is = 1, nslip
ksub = hardeningparam(9)
tausub(is) = ksub*G12*burgerv(is)*
+ dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub))
end do
!
end if
!
!
if (useaveragestatevars == 0) then
!
do is = 1, nslip
!
!
!! Taylor strength - total density / backstress
! tauc(is) = tauc0(is) +
! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is))
!
!
! Taylor strength - forest spacing / cut-through
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
!
!
elseif (useaveragestatevars == 1) then
!
!
do is = 1, nslip
!
! Taylor strength - total density
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*sumrhotot +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
!! Taylor strength - total density
! tauc(is) = tauc0(is)*(1.-X) +
! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) +
! + gf**2.*rhotot + Ploop(is))
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
endif
!
!
!
!
!
!
!
end if ! check crystal type
!
!
!
! Effect of irradiation
! True for all crystal types
if (irradiationmodel == 1) then
tauc = tauc + tausolute
end if
!
!
!
return
!
end subroutine slipresistance
!
!
!
! Calculates the total and forest density
! from SSD and GND densities using summation
! and forest projections
subroutine totalandforest(iphase, nscrew, nslip,
+ gnd, ssd, ssdtot, forest, forestproj, slip2screw,
+ rhotot, sumrhotot, rhofor)
use utilities, only : vecprod
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nscrew
integer, intent(in) :: nslip
real(8), intent(in) :: gnd(nslip+nscrew)
real(8), intent(in) :: ssd(nslip)
real(8), intent(in) :: ssdtot
real(8), intent(in) :: forest(nslip)
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
real(8), intent(in) :: slip2screw(nscrew,nslip)
real(8), intent(out) :: rhotot(nslip)
real(8), intent(out) :: sumrhotot
real(8), intent(out) :: rhofor(nslip)
!
! local variables
!
real(8) vec(3)
integer i, j
!
!
!
!
!
! Compute forest density
! Add gnd and sdd contributions (if exist)
! Forest projections
rhofor = forest + matmul(forestproj, abs(gnd)) +
+ matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges
+ matmul(forestproj(1:nslip,nslip+1:nslip+nscrew),
+ matmul(slip2screw,ssd)) ! screws
!
!
rhotot = ssd +
+ abs(gnd(1:nslip)) + ! edges
+ matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws
!
!
!
! Scalar sum
sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot
!
!
return
end subroutine totalandforest
!
end module crss
================================================
FILE: Example - Residual deformation/errors.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This is written point the user to the sources of errors
!
module errors
implicit none
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine error(errorid)
implicit none
!
!
!
integer :: errorid
!
!
! Message only when exiting the subroutine
!
if(errorid.eq.1) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-001: Material-ID is out of range (1-9).
+ Pls. check materials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.2) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-002: Element type is not defined!
+ Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.3) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-003: "cubicslip" integer parameter is not
+ properly defined. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.4) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-004: phase id of the material is not
+ within the possible limits!. Pls. check PROPS variable!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.5) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-005: "temperatureflag" is not
+ within the possible limits. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.6) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-006: "NSTATV" is less than the
+ defined outputs.
+ Pls. check DEPVAR in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.7) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-007: GND calculation is not possible
+ for the selected element type.
+ Pls. change the element type in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.8) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-008: Zero activation volume!
+ Pls. check the slip parameters and make sure that the
+ initial dislocation density has non-zero value
+ in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.9) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-009: Could not read the element type
+ and the total number of elements from *.INP file.
+ Pls. check the file name in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.10) then
! write(*,*) '*******************ERROR*******************'
! write(*,*) 'ERROR-010: "Bmat" for L2 method
! + is not invertible.
! + GND model will give zero GND densities!.'
! write(*,*) '*******************************************'
else if (errorid.eq.11) then
! write(*,*) '******************WARNING******************'
! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '*******************************************'
else if (errorid.eq.12) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-012: Lp iteration did not converge'
! write(*,*) 'Using forward-gradient Euler predictor'
! write(*,*) '**********************************************'
else if (errorid.eq.13) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-013: singular matrix in Lp iteration'
! write(*,*) 'Will continue if alternate solution exists!'
! write(*,*) '**********************************************'
else if (errorid.eq.14) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-014: forward-gradient Euler predictor
! + did not converge or it does not exist'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.15) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-015: tmat array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.16) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-016: NR scheme reached maximum number of
! + iterations'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.17) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-017: stress array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.18) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-018: jacobian array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.19) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-019: det(Fp) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.20) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-020: det(Fe) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.21) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-021: state variables become negative'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.22) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-022: inversion in predictor did not work'
! write(*,*) ''
! write(*,*) '**********************************************'
else
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-???: Unknown error!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
end if
!
!
return
end subroutine error
!
!
!
end module errors
================================================
FILE: Example - Residual deformation/globalvariables.f
================================================
! Sept. 20th, 2022
! Eralp Demir
! University of Oxford
!
! Global variables used within the code
module globalvariables
implicit none
!
!
!
! MATERIAL-LINKED GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! Global variable for Euler angles
real(8), allocatable, public :: Euler(:,:)
!
! Global variable storing grain id
! Different grains can be present in the mesh
integer, allocatable, public :: featureid(:,:)
!
! Global variable storing material id
integer, allocatable, public :: materialid(:,:)
!
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid(:,:)
!
!
!
! Global variable storing phase-id
! This refers to the crystal structure
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid_all(:)
!
! Global variable for number of slip systems
! Number of slip systems could be different for each ip
integer, allocatable, public :: numslip_all(:)
!
! Global variable for number of slip systems
! Required for GND calculations
! Number of slip systems could be different for each ip
integer, allocatable, public :: numscrew_all(:)
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, allocatable, public :: slipmodel_all(:)
!
! Slip parameters
! Array size adjustable
real(8), allocatable, public :: slipparam_all(:,:)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
!
!
! Creep model identifier
! 0: no creep
! 1: sinh slip strain
! 2: exponential slip strain
! 3: power law slip strain
! 4: sinh slip strain + climb strain
! Default value is set to 0
integer, allocatable, public :: creepmodel_all(:)
! Creep parameters
! Array size adjustable
real(8), allocatable, public :: creepparam_all(:,:)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Kocks-Mecking hardening
! 2: Voce type hardening
! Default value is set to 0
integer, allocatable, public :: hardeningmodel_all(:)
! Hardening parameters
! Array size adjustable
real(8), allocatable, public :: hardeningparam_all(:,:)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, allocatable, public :: irradiationmodel_all(:)
! Irradiation model parameters
! Array size adjustable
real(8), allocatable, public :: irradiationparam_all(:,:)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
!
! Backstress model parameters
! Array size adjustable (maxnmaterial, maxnparam)
real(8), allocatable, public :: backstressparam_all(:,:)
!
! The following variables are stored for every element and ip
! INITALLY - only once at the beginning
! This is done for the following reasons
! 1. In order to reduce computation time
! 2. Various materials can be present in the mesh
!
! Global variable for caratio
real(8), allocatable, public :: caratio_all(:)
!
! Global variable for cubicslip
integer, allocatable, public :: cubicslip_all(:)
!
! Global variable for elasticity in crystal reference
real(8), allocatable, public :: Cc_all(:,:,:)
!
! Global variable for geometric factor in Taylor equation
real(8), allocatable, public :: gf_all(:)
!
! Global variable for shear modulus
real(8), allocatable, public :: G12_all(:)
!
! Global variable for Poisson's ratio
real(8), allocatable, public :: v12_all(:)
!
! Global variable for thermal expansion matrix
real(8), allocatable, public :: alphamat_all(:,:,:)
!
! Global variable for Burgers vector
real(8), allocatable, public :: burgerv_all(:,:)
!
!
! INTERACTION MATRICES
! Global variables for dislocation strength interaction matrix
real(8), allocatable, public :: sintmat1_all(:,:,:)
!
! Global variable for dislocation irradiation loop strength interaction matrix
real(8), allocatable, public :: sintmat2_all(:,:,:)
!
! Global variable for latent hardening interaction
real(8), allocatable, public :: hintmat1_all(:,:,:)
!
! Global variable for dislocation hardening interaction
real(8), allocatable, public :: hintmat2_all(:,:,:)
!
! Screw systems
integer, allocatable, public :: screw_all(:,:)
!
!
!
! -------------------------------------------------------------------------------
!
!
!
!
! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! time at former time step
real(8), public :: time_old
!
! time increment at former time step
real(8), public :: dt_t
!
! Global initialization flag for elemental initialization
! Orientation assigment
! Initial slip direction calculations
! Global coordinates
integer, allocatable, public :: initialized_firstinc(:,:)
!
!
! Global initialization flag for IP initialization
integer, allocatable, public :: ip_init(:,:)
!
! Global one-time initialization flag
integer, public :: init_once
!
! Global one-time initialization flag
integer, public :: grad_init
!
! Global flag for IP count (10m elements, 100 ips)
integer, allocatable, public :: ip_count(:,:)
!
! Crystal orientation at current time step
real(8), allocatable, public :: statev_gmatinv(:,:,:,:)
! Crystal orientation at former time step
real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:)
! Crystal orientation initially
real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:)
!
! Total cumulative Von-Mises equivalent plastic strain at current time step
real(8), allocatable, public :: statev_evmp(:,:)
! Total cumulative Von-Mises equivalent plastic strain at former time step
real(8), allocatable, public :: statev_evmp_t(:,:)
!
! Plastic dissipation power density at current time step
real(8), allocatable, public :: statev_plasdiss(:,:)
! Plastic dissipation power density at former time step
real(8), allocatable, public :: statev_plasdiss_t(:,:)
!
! Effective critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauceff(:,:,:)
!
!
! Total cumulative slip at current time step
real(8), allocatable, public :: statev_totgammasum(:,:)
! Total cumulative slip at former time step
real(8), allocatable, public :: statev_totgammasum_t(:,:)
!
! Cumulative slip at current time step
real(8), allocatable, public :: statev_gammasum(:,:,:)
! Cumulative slip at former time step
real(8), allocatable, public :: statev_gammasum_t(:,:,:)
!
! Slip rates at current time step
real(8), allocatable, public :: statev_gammadot(:,:,:)
! Slip rates at former time step
real(8), allocatable, public :: statev_gammadot_t(:,:,:)
!
!
! Global variable for the inverse of the residual deformation
real(8), allocatable, public :: statev_Fr(:,:,:,:)
!
! Plastic part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fp(:,:,:,:)
! Plastic part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fp_t(:,:,:,:)
!
!
! Thermal part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fth(:,:,:,:)
! Thermal part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fth_t(:,:,:,:)
!
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_sigma(:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_sigma_t(:,:,:)
! Cauchy stress at previous time step
real(8), allocatable, public :: statev_sigma_t2(:,:,:)
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_jacobi(:,:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_jacobi_t(:,:,:,:)
!
!
! Critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauc(:,:,:)
! Critical resolved shear stress at former time step
real(8), allocatable, public :: statev_tauc_t(:,:,:)
!
! maximum of the tau/tauc ratio at current time step
real(8), allocatable, public :: statev_maxx(:,:)
! maximum of tau/tauc ratio at former time step
real(8), allocatable, public :: statev_maxx_t(:,:)
!
! elastic strains at the crystal ref. at current time step
real(8), allocatable, public :: statev_Eec(:,:,:)
! elastic strains at the crystal ref. at former time step
real(8), allocatable, public :: statev_Eec_t(:,:,:)
!
! Lattice curvature at current time step
real(8), allocatable, public :: statev_curvature(:,:,:)
!
! Incompatibility at current time step
real(8), allocatable, public :: statev_Lambda(:,:,:)
! Incompatibility at former time step
real(8), allocatable, public :: statev_Lambda_t(:,:,:)
!
! GND density per slip system at current time step
real(8), allocatable, public :: statev_gnd(:,:,:)
! GND density per slip system at former time step
real(8), allocatable, public :: statev_gnd_t(:,:,:)
! GND density per slip system initially - EBSD import
real(8), allocatable, public :: statev_gnd_0(:,:,:)
!
! SSD density per slip system at current time step
real(8), allocatable, public :: statev_ssd(:,:,:)
! SSD density per slip system at former time step
real(8), allocatable, public :: statev_ssd_t(:,:,:)
!
! Total SSD density at current time step
real(8), allocatable, public :: statev_ssdtot(:,:)
! Total SSD density at former time step
real(8), allocatable, public :: statev_ssdtot_t(:,:)
!
! Forest dislocation density per slip system at current time step
real(8), allocatable, public :: statev_forest(:,:,:)
! Forest dislocation density per slip system at former time step
real(8), allocatable, public :: statev_forest_t(:,:,:)
!
! Substructure dislocation density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_substructure(:,:)
! Substructure dislocation density for irradiation per slip system at former time step
real(8), allocatable, public :: statev_substructure_t(:,:)
!
! Solute strength for irradiation per slip system at current time step
real(8), allocatable, public :: statev_tausolute(:,:)
! Solute strength for irradiation per slip system at former time step
real(8), allocatable, public :: statev_tausolute_t(:,:)
!
!
! Defect loop density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_loop(:,:,:)
! Defect loop for irradiation per slip system at former time step
real(8), allocatable, public :: statev_loop_t(:,:,:)
!
! Backstress per slip system at current time step
real(8), allocatable, public :: statev_backstress(:,:,:)
! Backstress per slip system at former time step
real(8), allocatable, public :: statev_backstress_t(:,:,:)
!
! -------------------------------------------------------------------------------
!
!
!
! MESH INPUTS
! -------------------------------------------------------------------------------
!
! Total number of elements in the mesh
! Adaptive mesh cannot be used!
integer, public :: numel
!
! Element type
! Single element type is possible throughout the mesh
! Please do not leave any spaces between the characters
! Use the element types defined in ABAQUS element library
! Please see meshprop.f for the list of available element types
character(len=:), allocatable, public :: eltyp
!
!
! Number of integration points per element
integer, public :: numpt
!
! Number of nodes per element
integer, public :: nnpel
!
!
! Dimensions of the problem:
! Tensor dimensions in UMAT
integer, public :: numtens
!
! 2: 2D / 3: 3D
integer, public :: numdim
!
!
! -------------------------------------------------------------------------------
!
!
!
! -------------------------------------------------------------------------------
!
! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS
! -------------------------------------------------------------------------------
! These variables will be assigned at the initialization
! A single type of element is assumed throughout the mesh
!
! integration point domain (area/volume)
real(8), allocatable, public :: ipdomain(:,:)
!
! integration point weights
real(8), allocatable, public :: ipweights(:)
!
! Global integration point coordinates
real(8), allocatable, public :: ipcoords(:,:,:)
!
! Element specific shape functions and mappings
! Dependent on element type
!
! Gradient map for elements
real(8), allocatable, public :: gradip2ip(:,:,:,:)
!
! Interpolation matrix
real(8), allocatable, public :: Nmat(:,:)
!
! Inverse of interpolation matrix
real(8), allocatable, public :: invNmat(:,:)
!
! Shape function derivatives
real(8), allocatable, public :: dNmat(:,:,:)
!
! Shape function derivatives at element center
real(8), allocatable, public :: dNmatc(:,:)
!
! Element having a single IP
integer, public :: calculategradient
!
! -------------------------------------------------------------------------------
!
!
!
!
! CONSTANTS
! -------------------------------------------------------------------------------
!
! Number pi
real(8), parameter, public :: pi = 3.14159265359
!
! Taylor factor for a polycrytal aggregate
real(8), parameter, public :: TF = 3.1
!
! Universal gas contant [J/mol/K]
real(8), parameter, public :: Rgas = 8.31432
!
! Boltzman contant [m2 kg s-2 K-1 ]
real(8), parameter, public :: KB = 1.380649d-23
!
! Small real number
real(8), parameter, public :: smallnum = 1.0d-20
!
! Large real number
real(8), parameter, public :: largenum = 1.0d+50
! -------------------------------------------------------------------------------
!
!
!
!
! IDENTITY TENSORS
! -------------------------------------------------------------------------------
!
! Identity matrix (3x3)
real(8), public :: I3(3,3)
!
! Identity matrix (6x6)
real(8), public :: I6(6,6)
!
! Identity matrix (9x9)
real(8), public :: I9(9,9)
!
! Permutation symbol (3,3,3)
real(8), public :: eijk(3,3,3)
!
!
! SLIP DIRECTIONS
! -------------------------------------------------------------------------------
!
!
! Global variable for slip directions
! Slip direction can be different for each material
real(8), allocatable, public :: dirc_0_all(:,:,:)
!
! Global variable for slip plane normal
! Slip plane normal can be different for each material
real(8), allocatable, public :: norc_0_all(:,:,:)
!
! Global variable for transverse direction
! Transverse direction can be different for each material
real(8), allocatable, public :: trac_0_all(:,:,:)
!
! Global variable for line direction
! Line direction can be different for each material
real(8), allocatable, public :: linc_0_all(:,:,:)
!
! Global variable for initial Schmid tensor at the sample referencec
! Schmid tensor can be different for each material
real(8), allocatable, public :: Schmidc_0_all(:,:,:,:)
!
! Global variable for forest projections
! Forest projection for GND and SSD
! Can be different for each material
real(8), allocatable, public :: forestproj_all(:,:,:)
!
! Global variable to map screw dislocations from the corespondent slip systems
! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system
! Therefore, need to account for only the defined set of screw systems
! Can be different for each material
real(8), allocatable, public :: slip2screw_all(:,:,:)
!
!
!
! BCC slip directions
real(8), public :: dir1(48,3)
! <111> {110} slip family
data dir1(1,:) /-1., 1., 1. /
data dir1(2,:) / 1., -1., 1. /
data dir1(3,:) / 1., 1., 1. /
data dir1(4,:) / 1., -1., 1. /
data dir1(5,:) / 1., 1., 1. /
data dir1(6,:) / 1., 1., -1. /
data dir1(7,:) / 1., 1., 1. /
data dir1(8,:) /-1., 1., 1. /
data dir1(9,:) / 1., -1., 1. /
data dir1(10,:) /1., 1., -1. /
data dir1(11,:) /-1., 1., 1. /
data dir1(12,:) / 1., 1., -1. /
! <111> {112} slip family
data dir1(13,:) / 1., 1., -1. /
data dir1(14,:) / 1., -1., 1. /
data dir1(15,:) /-1., 1., 1. /
data dir1(16,:) / 1., 1., 1. /
data dir1(17,:) / 1., -1., 1. /
data dir1(18,:) / 1., 1., -1. /
data dir1(19,:) / 1., 1., 1. /
data dir1(20,:) /-1., 1., 1. /
data dir1(21,:) /-1., 1., 1. /
data dir1(22,:) / 1., 1., 1. /
data dir1(23,:) / 1., 1., -1. /
data dir1(24,:) / 1., -1., 1. /
! <111> {123} slip family
data dir1(25,:) / 1., 1., -1. /
data dir1(26,:) / 1., -1., 1. /
data dir1(27,:) /-1., 1., 1. /
data dir1(28,:) / 1., 1., 1. /
data dir1(29,:) / 1., -1., 1. /
data dir1(30,:) / 1., 1., -1. /
data dir1(31,:) / 1., 1., 1. /
data dir1(32,:) /-1., 1., 1. /
data dir1(33,:) / 1., 1., -1. /
data dir1(34,:) / 1., -1., 1. /
data dir1(35,:) /-1., 1., 1. /
data dir1(36,:) / 1., 1., 1. /
data dir1(37,:) / 1., -1., 1. /
data dir1(38,:) / 1., 1., -1. /
data dir1(39,:) / 1., 1., 1. /
data dir1(40,:) /-1., 1., 1. /
data dir1(41,:) /-1., 1., 1. /
data dir1(42,:) / 1., 1., 1. /
data dir1(43,:) / 1., 1., -1. /
data dir1(44,:) / 1., -1., 1. /
data dir1(45,:) /-1., 1., 1. /
data dir1(46,:) / 1., 1., 1. /
data dir1(47,:) / 1., 1., -1. /
data dir1(48,:) / 1., -1., 1. /
!
!
! BCC slip plane normals
real(8), public :: nor1(48,3)
! <111> {110} slip family
data nor1(1,:) / 1., 1., 0. /
data nor1(2,:) / 1., 1., 0. /
data nor1(3,:) /-1., 0., 1. /
data nor1(4,:) /-1., 0., 1. /
data nor1(5,:) /-1., 1., 0. /
data nor1(6,:) /-1., 1., 0. /
data nor1(7,:) / 0., 1., -1. /
data nor1(8,:) / 0., 1., -1. /
data nor1(9,:) / 0., 1., 1. /
data nor1(10,:) / 0., 1., 1. /
data nor1(11,:) / 1., 0., 1. /
data nor1(12,:) / 1., 0., 1. /
! <111> {112} slip family
data nor1(13,:) / 1., 1., 2. /
data nor1(14,:) /-1., 1., 2. /
data nor1(15,:) / 1., -1., 2. /
data nor1(16,:) / 1., 1., -2. /
data nor1(17,:) / 1., 2., 1. /
data nor1(18,:) /-1., 2., 1. /
data nor1(19,:) / 1., -2., 1. /
data nor1(20,:) / 1., 2., -1. /
data nor1(21,:) / 2., 1., 1. /
data nor1(22,:) /-2., 1., 1. /
data nor1(23,:) / 2., -1., 1. /
data nor1(24,:) / 2., 1., -1. /
! <111> {123} slip family
data nor1(25,:) / 1., 2., 3. /
data nor1(26,:) / -1., 2., 3. /
data nor1(27,:) / 1., -2., 3. /
data nor1(28,:) / 1., 2., -3. /
data nor1(29,:) / 1., 3., 2. /
data nor1(30,:) / -1., 3., 2. /
data nor1(31,:) / 1., -3., 2. /
data nor1(32,:) / 1., 3., -2. /
data nor1(33,:) / 2., 1., 3. /
data nor1(34,:) / -2., 1., 3. /
data nor1(35,:) / 2., -1., 3. /
data nor1(36,:) / 2., 1., -3. /
data nor1(37,:) / 2., 3., 1. /
data nor1(38,:) / -2., 3., 1. /
data nor1(39,:) / 2., -3., 1. /
data nor1(40,:) / 2., 3., -1. /
data nor1(41,:) / 3., 1., 2. /
data nor1(42,:) / -3., 1., 2. /
data nor1(43,:) / 3., -1., 2. /
data nor1(44,:) / 3., 1., -2. /
data nor1(45,:) / 3., 2., 1. /
data nor1(46,:) / -3., 2., 1. /
data nor1(47,:) / 3., -2., 1. /
data nor1(48,:) / 3., 2., -1. /
!
!
!
! FCC slip directions
real(8), public :: dir2(18,3)
! <110> {111} slip family
data dir2(1,:) / 1., -1., 0. /
data dir2(2,:) / 0., 1., -1. /
data dir2(3,:) / 1., 0., -1. /
data dir2(4,:) / 1., 1., 0. /
data dir2(5,:) / 0., 1., -1. /
data dir2(6,:) / 1., 0., 1. /
data dir2(7,:) / 1., 1., 0. /
data dir2(8,:) / 0., 1., 1. /
data dir2(9,:) / 1., 0., -1. /
data dir2(10,:) / 1., -1., 0. /
data dir2(11,:) / 0., 1., 1. /
data dir2(12,:) / 1., 0., 1. /
! <110> {100} cubic slip family
data dir2(13,:) / 0., 1., 1. /
data dir2(14,:) / 0., 1., -1. /
data dir2(15,:) / 1., 0., 1. /
data dir2(16,:) / 1., 0., -1. /
data dir2(17,:) / 1., 1., 0. /
data dir2(18,:) / 1., -1., 0. /
!
!
! FCC slip plane normals
real(8), public :: nor2(18,3)
! <110> {111} slip family
data nor2(1,:) / 1., 1., 1. /
data nor2(2,:) / 1., 1., 1. /
data nor2(3,:) / 1., 1., 1. /
data nor2(4,:) /-1., 1., 1. /
data nor2(5,:) /-1., 1., 1. /
data nor2(6,:) /-1., 1., 1. /
data nor2(7,:) / 1., -1., 1. /
data nor2(8,:) / 1., -1., 1. /
data nor2(9,:) / 1., -1., 1. /
data nor2(10,:) / 1., 1., -1. /
data nor2(11,:) / 1., 1., -1. /
data nor2(12,:) / 1., 1., -1. /
! <110> {100} cubic slip family
data nor2(13,:) / 1., 0., 0. /
data nor2(14,:) / 1., 0., 0. /
data nor2(15,:) / 0., 1., 0. /
data nor2(16,:) / 0., 1., 0. /
data nor2(17,:) / 0., 0., 1. /
data nor2(18,:) / 0., 0., 1. /
!
!
! The directions are corrected by Alvaro 23.02.2023
! HCP slip directions
real(8), public :: dir3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data dir3h(1,:) / 2., -1., -1., 0./
data dir3h(2,:) /-1., 2., -1., 0./
data dir3h(3,:) /-1., -1., 2., 0./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data dir3h(4,:) / 2., -1., -1., 0./
data dir3h(5,:) /-1., 2., -1., 0./
data dir3h(6,:) /-1., -1., 2., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(7,:) /-1., 2., -1., 0./
data dir3h(8,:) /-2., 1., 1., 0./
data dir3h(9,:) /-1., -1., 2., 0./
data dir3h(10,:) / 1., -2., 1., 0./
data dir3h(11,:) / 2., -1., -1., 0./
data dir3h(12,:) / 1., 1., -2., 0./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(13,:) /-2., 1., 1., 3./
data dir3h(14,:) /-1., -1., 2., 3./
data dir3h(15,:) /-1., -1., 2., 3./
data dir3h(16,:) / 1., -2., 1., 3./
data dir3h(17,:) / 1., -2., 1., 3./
data dir3h(18,:) / 2., -1., -1., 3./
data dir3h(19,:) / 2., -1., -1., 3./
data dir3h(20,:) / 1., 1., -2., 3./
data dir3h(21,:) / 1., 1., -2., 3./
data dir3h(22,:) /-1., 2., -1., 3./
data dir3h(23,:) /-1., 2., -1., 3./
data dir3h(24,:) /-2., 1., 1., 3./
!
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data dir3h(25,:) /-1., -1., 2., 3./
data dir3h(26,:) / 1., -2., 1., 3./
data dir3h(27,:) / 2., -1., -1., 3./
data dir3h(28,:) / 1., 1., -2., 3./
data dir3h(29,:) /-1., 2., -1., 3./
data dir3h(30,:) /-2., 1., 1., 3./
!
!
! HCP slip plane normals
real(8), public :: nor3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data nor3h(1,:) /0., 0., 0., 1./
data nor3h(2,:) /0., 0., 0., 1./
data nor3h(3,:) /0., 0., 0., 1./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data nor3h(4,:) /0., 1., -1., 0./
data nor3h(5,:) /-1., 0., 1., 0./
data nor3h(6,:) /1., -1., 0., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(7,:) /1., 0., -1., 1./
data nor3h(8,:) /0., 1., -1., 1./
data nor3h(9,:) /-1., 1., 0., 1./
data nor3h(10,:) /-1., 0., 1., 1./
data nor3h(11,:) /0., -1., 1., 1./
data nor3h(12,:) /1., -1., 0., 1./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(13,:) /1., 0., -1., 1./
data nor3h(14,:) /1., 0., -1., 1./
data nor3h(15,:) /0., 1., -1., 1./
data nor3h(16,:) /0., 1., -1., 1./
data nor3h(17,:) /-1., 1., 0., 1./
data nor3h(18,:) /-1., 1., 0., 1./
data nor3h(19,:) /-1., 0., 1., 1./
data nor3h(20,:) /-1., 0., 1., 1./
data nor3h(21,:) /0., -1., 1., 1./
data nor3h(22,:) /0., -1., 1., 1./
data nor3h(23,:) /1., -1., 0., 1./
data nor3h(24,:) /1., -1., 0., 1./
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data nor3h(25,:) /1., 1., -2., 2./
data nor3h(26,:) /-1., 2., -1., 2./
data nor3h(27,:) /-2., 1., 1., 2./
data nor3h(28,:) /-1., -1., 2., 2./
data nor3h(29,:) /1., -2., 1., 2./
data nor3h(30,:) /2., -1., -1., 2./
!
!
! Slip direction for alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: dir4(8,3)
data dir4(1,:) /1.0, 0.0, 0.0/
data dir4(2,:) /1.0, 0.0, 0.0/
data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
! Slip plane normals of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: nor4(8,3)
data nor4(1,:) /0.0, 1.0, 0.0/
data nor4(2,:) /0.0, 0.0, 1.0/
data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
!
!
! -------------------------------------------------------------------------------
!
end module globalvariables
================================================
FILE: Example - Residual deformation/hardening.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module hardening
implicit none
contains
! Since crss is computed considering the phase
! Hardening shall evolve the proper state variables
!
!
! ********************************************
! ** HARDENING updates the state variables **
! ** that determine mechanical hardening **
! ********************************************
subroutine hardeningrules(iphase,nslip,
+ temperature,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,tauc,ssd,
+ loop, rhofor, rhotot,
+ rhosub, tausolute,
+ dtauc,drhotot,drhofor,
+ drhosub, dssd, dloop)
use globalvariables, only : KB
use userinputs, only: maxnparam, maxnloop
implicit none
!
! INPUTS
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! current temperature
real(8),intent(in) :: temperature
!
! time increment
real(8),intent(in) :: dt
!
! shear modulus
real(8),intent(in) :: G12
!
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
!
!
! cumulative crystallographic slip at the current tiemstep
! needed for model with irradiation
real(8),intent(in) :: totgammasum
!
! plastic shear rate on slip systems
! and absolute value
real(8),intent(in) :: gammadot(nslip)
!
! Von-mises equivalent plastic strain rate
real(8),intent(in) :: pdot
!
! irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! hardening model
integer,intent(in) :: hardeningmodel
!
! hardening parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! Hardening interaction matrices
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
! crss
real(8),intent(in) :: tauc(nslip)
!
! ssd density
real(8),intent(in) :: ssd(nslip)
!
! loop density
real(8),intent(in) :: loop(maxnloop)
!
! forest density
real(8),intent(in) :: rhofor(nslip)
!
! total density
real(8),intent(in) :: rhotot(nslip)
!
! substructure density
real(8),intent(in) :: rhosub
!
!
!
! OUTPUTS
! increase in tauc due to solute force
real(8),intent(out) :: tausolute
!
! crss increment
real(8),intent(out) :: dtauc(nslip)
!
!
!
!
! total ssd density increment
real(8),intent(out) :: drhotot
!
! forest dislocation density increment
real(8),intent(out) :: drhofor(nslip)
!
! substructure dislocation density increment
real(8),intent(out) :: drhosub
!
! ssd density increment
real(8),intent(out) :: dssd(nslip)
!
! loop density increment
real(8),intent(out) :: dloop(maxnloop)
!
!
!
!
!
!
! Variables used within this subroutine
! absolute value of the plastic shear rate on slip systems
real(8), dimension(nslip) :: absgammadot
! Parameters for irradiation hardening
real(8) :: taus0, gammasat, gamma
! Parameters for irradiation model = 2
integer :: nloop
! Parameters for Voce typ hardening model
real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip)
! Parameter for linear hardening model
real(8) :: k
! Parameters for Kocks-Mecking hardening model
real(8) :: k1, b, X, g, D, pdot0, k2, KBT
! Parameters for hardening model - 5 (KM)
real(8) :: q1, q2, tot
! Additional parameters for substructure hardening
real(8) :: f
!
integer :: is, js, i, j
integer :: il
!
!
! Set outputs zero initially
dtauc = 0.
dssd = 0.
drhofor = 0.
drhosub = 0.
drhotot = 0.
tausolute = 0.
dloop = 0.
!
!
!
! absolute value of slip rates
absgammadot = dabs(gammadot)
!
!
!
! Irradiation hardening
! =========================================================================
!
!
! update solute force
if (irradiationmodel == 1) then
!
! Prefactor in irradiation hardening
taus0 = irradiationparam(1)
!
! Saturation strain
gammasat = irradiationparam(2)
!
! Solute strength
tausolute = taus0*dexp(-totgammasum/gammasat)
!
end if
!
!
!
! update loop density
if (irradiationmodel == 2) then
!
! Number of type of the loop defects
nloop = int(irradiationparam(1))
!
! Compute the evolution (annihiliation)
do il = 1, nloop
!
!
do is = 1, nslip
!
dloop(il) = dloop(il) - hintmat2(il,is) *
+ sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt
!
!
!
!
!
end do
!
!
end do
!
!
!
end if
!
!
!
! =========================================================================
!
!
!
! Other strainhardening models
! No hardening
if (hardeningmodel==0) then
!
! Do not harden!
!
!
elseif (hardeningmodel==1) then
!
! read in the parameters
h0 = hardeningparam(1)
ss = hardeningparam(2)
m = hardeningparam(3)
q = hardeningparam(4)
!
!
!
! Construct the latent hardening matrix
! Note that this is a matrix different than latent hardening
Hab = hintmat1
!
hb=0.
do is = 1,nslip
!
hb(is) = h0*(1.-tauc(is)/ss)**m*
+ absgammadot(is)*dt
!
!
!
!
!
end do
!
dtauc = matmul(Hab,hb)
!
!
! linear hardening model
elseif (hardeningmodel==2) then
!
! read in the parameters
k = hardeningparam(1)
!
!
! total density
drhotot = k*pdot*dt
!
! SSD evolution
do is = 1, nslip
!
dssd(is) = k*absgammadot(is)*dt
!
end do
!
!
!
! Kocks-Mecking hardening
elseif (hardeningmodel==3) then
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
!
!
KBT = KB*temperature
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
!
dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
!
end do
!
drhotot = sum(dssd)
!
! Kocks-Mecking hardening with substructure evolution
! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!
elseif (hardeningmodel==4) then
!
!
!
!
!
!
!
!
!
!
! for alpha-uranium material parameters are built in
if (iphase == 4) then
!
!
!
! forest dislocations evolution
! using constants from calibration of tensile bar 3
! using twin-slip interaction model
drhofor(1) = 43.2*max(dsqrt(rhofor(1))-
+ (0.17100+2.6093e-03*temperature)
+ *rhofor(1),0.0)*absgammadot(1)*dt
drhofor(2) = 6320.0*max(dsqrt(rhofor(2))-
+ (0.25650+5.8708e-04*temperature)
+ *rhofor(2),0.0)*absgammadot(2)*dt
drhofor(3) = 0.24*max(dsqrt(rhofor(3))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(3),0.0)*absgammadot(3)*dt
drhofor(4) = 0.24*max(dsqrt(rhofor(4))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(4),0.0)*absgammadot(4)*dt
drhofor(5) = 800.0*max(dsqrt(rhofor(5))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(5),0.0)*absgammadot(5)*dt
drhofor(6) = 800.0*max(dsqrt(rhofor(6))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(6),0.0)*absgammadot(6)*dt
drhofor(7) = 800.0*max(dsqrt(rhofor(7))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(7),0.0)*absgammadot(7)*dt
drhofor(8) = 800.0*max(dsqrt(rhofor(8))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(8),0.0)*absgammadot(8)*dt
!
! substructure dislocations evolution
drhosub = 0.216*(17.545+0.26771*temperature)*
+ rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt
!
! If any other material
else
!
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
q = hardeningparam(7)
f = hardeningparam(8)
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is))
+ *absgammadot(is)*dt
!
drhosub = drhosub + b*q*f*dsqrt(rhosub)*
+ k2*rhofor(is)*absgammadot(is)*dt
!
!
end do
!
!
!
!
!
end if
!
! UKAEA - model
! Vikram Phalke
! Kocks-Mecking hardening - based on total density
elseif (hardeningmodel==5) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
q1 = hardeningparam(3)
q2 = hardeningparam(4)
!
!
! interaction matrix
Hab = hintmat1
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
tot = 0.
do js=1,nslip
!
! total density (rhottot) is used to include GND effects
! instead of just SSD density
tot=tot + Hab(is,js)*rhotot(js)
!
end do
!
dssd(is) =
+ (k1/b*dsqrt(tot)-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
! UKAEA - model
! Yunzhou Bai
! Hardening model for EUROFER steel
! Kocks-Mecking hardening - based on martensite lath spacing
elseif (hardeningmodel==6) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
D = hardeningparam(3)
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
!
dssd(is) = (k1/D/b-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
!
!
!
end if
!
return
!
end subroutine hardeningrules
!
!
!
!
!
end module hardening
================================================
FILE: Example - Residual deformation/initializations.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This module includes initialization scripts
!
module initializations
implicit none
contains
!
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_once
use meshprop, only : feprop
use useroutputs, only: defineoutputs
implicit none
!
!
!
!
! 1. Enter mesh/element properties
! to get number of integration points for array allocation
call feprop
write(*,*) '1. Mesh initialization completed!'
!
! 2. Allocate arrays
call allocate_arrays
write(*,*) '2. Array allocation completed!'
!
! 3. Initialize identity matrices
call initialize_identity
write(*,*) '3. Identity tensors initialized!'
!
! 4. Define outputs
! Based on the flag: "readfromprops = 0 / 1"
! Will be either read from PROPS or from useroutputs.f
call defineoutputs
write(*,*) '4. Outputs are defined using useroutputs.f!'
!
!
! 5. Read the input files if needed
call readfiles
write(*,*) '5. The necessary files were read!'
!
!
return
end subroutine initialize_once
!
!
!
!
! Subroutine to initialize global flags
subroutine initialize_variables
use userinputs, only: maxnumel, maxnumpt
use globalvariables, only : time_old,
+ dt_t, calculategradient, numpt, numel,
+ ip_count, init_once, grad_init
!
! Use this instead of data statements
time_old=0.
dt_t=0.
!
calculategradient=1
grad_init=0
!
! Maximum number of elements and maximum number of integration points
! are defined in userinputs.f
allocate(ip_count(maxnumel,maxnumpt))
ip_count=-1
!
! Element number will be counted
numpt=0
numel=0
!
! flag for initialization once at the beginning
init_once=0
!
return
end subroutine initialize_variables
!
!
!
!
!
! Reading additional input files
subroutine readfiles
use userinputs, only:
+ voxfilename, foldername, readmaterialfile,
+ rsfilename, readresidualstrainfile
use globalvariables, only: numel, numpt,
+ Euler, statev_Fr
use utilities, only: vecmat9, inv3x3
integer :: i, iele, iquad
real(8) :: dummy(8), dum1, dum2, det
real(8) :: Fe0_vec(9), Fe0(3,3), Fr(3,3), detFr
!
!
! Read vox file if requested
if (readmaterialfile==1) then
! Open the file
open(200,file=foldername // '/' // voxfilename,action='read',
+ status='old')
!
!
! Number of lines is the same as the number of elements
do i=1,numel
!
dummy=0.
read(200,*) dummy(1:8)
!
! Bunge angles in degrees
Euler(i,1) = dummy(1)
Euler(i,2) = dummy(2)
Euler(i,3) = dummy(3)
!
! Test write
if (i==1) then
write(*,*) 'Testing reading of Job-1.vox file'
write(*,*) 'iele', i
write(*,*) 'Bunge (deg)', Euler(i,:)
end if
!
!
end do
!
! End of reading vox file
close(200)
!
end if
!
!
!
!
!
!
! Read residual strains
if (readresidualstrainfile==1) then
!
! Open the file
open(300,file=foldername // '/' // rsfilename,action='read',
+ status='old')
!
! total number of lines =
! number of elements x number of integtration points
do i=1,numel*numpt
!
! dummy first read - Euler angles
read(300,*) dum1, dum2, Fe0_vec(1:9)
iele = int(dum1)
iquad = int(dum2)
!
! calculate 3x3 deformation gradient
call vecmat9(Fe0_vec,Fe0)
!
!! invert to get the residual deformation
! call inv3x3(Fe0,Fr,detFr)
!
! Test write
if (i==1) then
write(*,*) 'Testing reading of resdef.dat file'
write(*,*) 'iele', iele
write(*,*) 'iquad', iquad
write(*,*) 'Fe0_vec', Fe0_vec
end if
!
statev_Fr(iele,iquad,:,:)=Fe0
!
end do
!
! End of residual strain file
close(300)
!
end if
!
! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!!
!
!
return
end subroutine readfiles
!
!
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_atfirstinc(noel,npt,coords,nprops,
+ props,temp,nstatv,ntens,stress)
use userinputs, only: constanttemperature, temperature,
+ maxnslip, maxnparam, maxnmaterial, maxnloop,
+ backstressmodel, readmaterialfile
use globalvariables, only: Euler, materialid,
+ featureid, phaseid, ipcoords, numdim,
+ statev_gmatinv, statev_gmatinv_t, ip_init,
+ numslip_all, numscrew_all, phaseid_all,
+ statev_tauc, statev_tauc_t, statev_gmatinv_0,
+ dirc_0_all, norc_0_all,
+ trac_0_all, linc_0_all, Schmidc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ statev_ssd, statev_ssd_t,
+ statev_ssdtot, statev_ssdtot_t,
+ statev_forest, statev_forest_t,
+ statev_substructure, statev_substructure_t,
+ statev_tausolute, statev_tausolute_t,
+ statev_loop, statev_loop_t,
+ statev_tauceff, statev_gnd_0,
+ statev_sigma, statev_sigma_t,
+ caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, v12_all,
+ alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all
!
use irradiation, only: calculateintmats4irradmodel2
use usermaterials, only: materialparam
use utilities, only: rotord4sig
use crss, only: slipresistance, totalandforest
use useroutputs, only: checkoutputs,
+ statev_outputs, nstatv_outputs
use errors, only: error
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of properties
integer, intent(in) :: nprops
! Ip coordinates
real(8), intent(in) :: coords(3)
! State variables
real(8), intent(in) :: props(nprops)
! Abaqus temperature
real(8), intent(in) :: temp
! Number of state variables
integer, intent(in) :: nstatv
! Dimension of stress vector
integer, intent(in) :: ntens
! Stress tensor
real(8), intent(in) :: stress(ntens)
!
! Internal variables
! Flag for reading from PROPS vector
integer readfromprops
! Crystal to sample transformation matrix
real(8) :: gmatinv(3,3)
! Phase id
integer :: phaid
! Number of slip systems
integer :: nslip
! Number of screw systems
integer :: nscrew
! Material id
integer :: matid
! Slip model
integer :: slipmodel
! Slip parameters
real(8) :: slipparam(maxnparam)
! Creep model
integer :: creepmodel
! Creep parameters
real(8) :: creepparam(maxnparam)
! Hardening model
integer :: hardeningmodel
! Hardening parameters
real(8) :: hardeningparam(maxnparam)
! Irradiation model
integer :: irradiationmodel
! Irradiation parameters
real(8) :: irradiationparam(maxnparam)
! Backstress parameters
real(8) :: backstressparam(maxnparam)
! Cubic slip for fcc nickel superalloys only
integer :: cubicslip
! Material temperature
real(8) :: mattemp
! c/a ratio for hexagonal materials
real(8) :: caratio
! Crystal elasticity matrix
real(8) :: Cc(6,6)
! Geometric factor
real(8) :: gf
! Shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! Thermal expansion coefficient matrix in crystal lattice
real(8) :: alphamat(3,3)
! Burgers vector
real(8) :: burgerv(maxnslip)
! Screw systems
integer :: screw(maxnslip)
! Initial critical resolved shear stress
real(8) :: tauc_0(maxnslip)
! Initial dislocation density (SSD)
real(8) :: rho_0(maxnslip)
! Sum of the initial density (SSD)
real(8) :: rhosum_0
! Initial forest density (hardening model-4)
real(8) :: forest_0, for_0(maxnslip)
! Initial substructure density (hardening model-4)
real(8) :: substructure_0
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(maxnslip,maxnslip)
! Allocatable arrays
! Slip direction
real(8) :: dirc(maxnslip,3)
! Slip plane normal
real(8) :: norc(maxnslip,3)
! Transverse direction
real(8) :: trac(maxnslip,3)
! Slip line direction
real(8) :: linc(maxnslip*2,3)
! Forest projection operator
real(8) :: forestproj(maxnslip,maxnslip*2)
! Slip to screw system mapping
real(8) :: slip2screw(maxnslip,maxnslip)
! initial Schmid tensor
real(8) :: Schmidc_0(maxnslip,3,3)
! initial loop density
real(8) :: loop_0(maxnloop)
! initial solute strength
real(8) :: tausolute_0
! initial GND density
real(8) :: gnd_0(2*maxnslip)
! overall forest density
real(8) :: rhofor_0(maxnslip)
! overall total density
real(8) :: rhotot_0(maxnslip)
! overall cumulative density - scalar
real(8) :: sumrhotot_0
! Effective CRSS
real(8) :: tauceff_0(maxnslip)
! Variables used in the calculations here within this subroutine
! Elasiticity
real(8) :: C11, C12, C44, C13, C33
real(8) :: C23, C22, C55, C66
! Thermal expansion
real(8) :: alpha1, alpha2, alpha3
!
! Dummy variables
integer :: i, j, k, ind, is, nloop, dum
integer :: i0, i1, i2
real(8) :: dir(3), nor(3)
!
!
! Reset arrays
burgerv=0.; tauc_0=0.;
rho_0=0.; forest_0=0.;
substructure_0=0.; for_0=0.
sintmat1=0.; sintmat2=0.
hintmat1=0.; hintmat2=0.
dirc=0.; norc=0.; trac=0.; linc=0.
Schmidc_0=0.
forestproj=0.; slip2screw=0.; screw=0
slipparam=0.;creepparam=0.
hardeningparam=0.; irradiationparam=0.
backstressparam = 0.
!
loop_0=0.; tausolute_0=0.
rhofor_0=0.; rhotot_0=0.
sumrhotot_0=0.; gnd_0=0.
tauceff_0=0.
!
!
!
! Calculation for only once (require NSTATV)
! This is done here because NSTATV is available in UMAT
! Can't be done at UEXTERNALDB(LOP=0)
if (ip_init(1,1) == 0) then
!
! Check the number state variables defined in DEPVAR
! matches the outputs defined by the user (in useroutputs.f or in PROPS)
call checkoutputs(nstatv)
!
end if
!
!
!
!
!
! Initialization flag
ip_init(noel,npt) = 1
!
! Read integration point coordinates
! Assign and store at a global variable
ipcoords(noel,npt,1:numdim) = coords(1:numdim)
!
! Read from PROPS
readfromprops = int(props(6))
!
! Material id
matid = int(props(5))
!
! Save material id
materialid(noel,npt)=matid
!
! Save grain id
featureid(noel,npt) = int(props(4))
!
! Euler angles are read from PROPS
! IF the variable in userinputs.f was set as: "readmaterialfile=0"
! No entry from material file was selected
if (readmaterialfile==0) then
!
! Initialize the ginv from Euler angles
! phi1: 1st on the property list
Euler(noel,1)=props(1)
! Phi: 2nd on the property list
Euler(noel,2)=props(2)
! phi2: 3rd on the property list
Euler(noel,3)=props(3)
!
end if
!
!
!
!
! write(*,*) 'noel', noel
! write(*,*) 'npt', npt
! write(*,*) 'matid', matid
! write(*,*) 'Euler', Euler
!
!
!
!
!
!
! Calculate inverse of the orientation matrix
call initialize_orientations(Euler(noel,1:3),gmatinv)
!
! Assign the initial orientations
statev_gmatinv(noel,npt,:,:)=gmatinv
statev_gmatinv_t(noel,npt,:,:)=gmatinv
statev_gmatinv_0(noel,npt,:,:)=gmatinv
!
!
!
!
!
! Decision on using ABAQUS temperature
if (constanttemperature.eq.1) then
!
!
! Assign
mattemp = temperature
!
else if (constanttemperature.eq.0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
else
! Temperature flag is not assined correctly
call error(5)
!
endif
!
!
! If the properties are defined at "usermaterials.f"
if (readfromprops==0) then
!
! Enter materials subroutine once for every ip to get number of slip systems
call materialparam(matid,mattemp,
+ phaid,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,forest_0,substructure_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
!
! If material properies are defined in PROPS vector
elseif (readfromprops==1) then
!
! Phase id indicates crystal structure
phaid = int(props(7))
!
! Number of slip systems
nslip = int(props(8))
!
! Number of screw systems
nscrew = int(props(9))
!
! cubic slip flag
cubicslip = int(props(10))
!
! geometric factor
gf = props(11)
!
! Elastic constants
C11 = props(12)
C12 = props(13)
C44 = props(14)
!
! Shear modulus
G12 = C44
!
!
! Poisson's ratio
v12 = C12/(C11+C12)
!
! If cubic material - 3 constants
if (phaid<3) then
!
! Elasticity matrix of a cubic material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C12 /)
Cc(2,1:3) = (/ C12, C11, C12 /)
Cc(3,1:3) = (/ C12, C12, C11 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = C44
!
!
! If hexagonal material - 5 constants
elseif (phaid==3) then
!
! Read the remaning parameters
C13 = props(15)
C33 = props(16)
!
! Elasticity matrix of a hexagonal material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C11, C13 /)
Cc(3,1:3) = (/ C13, C13, C33 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = 0.5*(C11-C12)
!
! If tetragonal material - 9 constants
elseif (phaid==4) then
!
! Read the remaning parameters
C23 = props(17)
C22 = props(18)
C55 = props(19)
C66 = props(20)
!
! Elasticity matrix of a ot material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C22, C23 /)
Cc(3,1:3) = (/ C13, C23, C33 /)
Cc(4,4) = C44
Cc(5,5) = C55
Cc(6,6) = C66
!
!
!
endif
!
! c/a ratio
caratio = int(props(21))
!
!
! Thermal expansion coefficients
alpha1 = props(22)
alpha2 = props(23)
alpha3 = props(24)
alphamat = 0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
! Starting index for props
i0 = 25
!
!
! Slip model
slipmodel = int(props(i0))
!
! Slip model parameters
do i = 1, maxnparam
!
ind = i + i0
!
slipparam(i) = props(ind)
!
end do
!
! Creep model
creepmodel = int(props(i0+maxnparam+1))
!
! Creep model parameters
do i = 1, maxnparam
!
ind = i + i0 + maxnparam+1
!
creepparam(i) = props(ind)
!
!
end do
!
!
! Hardening model
hardeningmodel = int(props(i0+2*(maxnparam+1)))
!
! Hardening model parameters
do i = 1, maxnparam
!
ind = i + i0+2*(maxnparam+1)
!
hardeningparam(i) = props(ind)
!
end do
!
!
! They are undefined for now - set to identity
! Interaction matrices
! Initially set all to identity
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
! Define hardening matrix here based on the model!
! Hardening model-1
if (hardeningmodel==1) then
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
end if
!
!
! Irradiation model
irradiationmodel = int(props(i0+3*(maxnparam+1)))
!
!
! Irradiation model parameters
do i = 1, maxnparam
!
ind = i + i0+3*(maxnparam+1)
!
irradiationparam(i) = props(ind)
!
end do
!
!
! Backstress parameters
if (backstressmodel==1) then
!
backstressparam(1) = props(ind+1)
backstressparam(2) = props(ind+2)
!
end if
!
!
!
!
!
!
! Overwrite user-defined outputs in useroutputs.f
! Reset number of state variables
nstatv_outputs = 0
! Reset the flags for outputs
statev_outputs = 0
!
! Reset starting index
i1 = i0 + 5*maxnparam + 3
do i = 1, 30
!
ind = i + i1
!
dum = int(PROPS(ind))
!
statev_outputs(i) = dum
!
! Count the total number of outputs
if (dum ==1) then
nstatv_outputs = nstatv_outputs + 1
end if
!
end do
!
!
!
! Assign slip system quantities
! Reset starting index
i2 = i1 + 30
!
! Initial dislocation density
rho_0=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then !hcp
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
!
rho_0(is) = props(ind)
!
end do
!
i2 = i2 + 6
!
! Burgers vector
burgerv=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
burgerv(is) = props(ind)
!
end do
!
i2 = i2 + 6
!
! Initial critical resolved shear strength
tauc_0=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
tauc_0(is) = props(ind)
!
end do
!
! Initial forest dislocation density (hardening model-4)
forest_0 = props(147)
!
! Initial substructure dislocation density (hardening model-4)
substructure_0 = props(148)
!
!
! PROPS(149-175) are intentionally left empty!
!
!
endif
!
!
!
! Initialize phase-id of the material
phaseid_all(matid)=phaid
!
!
! Initialize number of slip systems
numslip_all(matid)=nslip
!
! Initialize number of screw systems
! Required for GND calculations
numscrew_all(matid)=nscrew
!
!
! Initialize crss
statev_tauc(noel,npt,1:maxnslip)=tauc_0
statev_tauc_t(noel,npt,1:maxnslip)=tauc_0
!
! Initialize ssd density per slip system
statev_ssd(noel,npt,1:maxnslip)=rho_0
statev_ssd_t(noel,npt,1:maxnslip)=rho_0
!
! Initialize total ssd density
rhosum_0=sum(rho_0(1:nslip))
statev_ssdtot(noel,npt)=rhosum_0
statev_ssdtot_t(noel,npt)=rhosum_0
! Initialize forest density per slip system
for_0(1:nslip)=forest_0
statev_forest(noel,npt,1:maxnslip)=for_0
statev_forest_t(noel,npt,1:maxnslip)=for_0
!
! Initialize total ssd density
statev_substructure(noel,npt)=substructure_0
statev_substructure_t(noel,npt)=substructure_0
!
!
!
!
! Initialize irradiation parameters
if (irradiationmodel==1) then
! Initialize solute strength
tausolute_0=irradiationparam(1)
statev_tausolute(noel,npt)=tausolute_0
statev_tausolute_t(noel,npt)=tausolute_0
!
!
elseif (irradiationmodel==2) then
! Initialize defect loop density
nloop=int(irradiationparam(1))
do i = 1, nloop
loop_0(i)=irradiationparam(1+i)*
+ irradiationparam(1+nloop+i)
statev_loop(noel,npt,i)=loop_0(i)
statev_loop_t(noel,npt,i)=loop_0(i)
end do
!
end if
!
!
! Initialize caratio
caratio_all(matid)=caratio
!
!
! Initialize cubicslip
cubicslip_all(matid)=cubicslip
!
! Initialize elasticity in crystal frame
Cc_all(matid,1:6,1:6)=Cc
!
! Initialize geometric factor
gf_all(matid)=gf
!
! Initialize shear modulus
G12_all(matid)=G12
! Initialize Poisson's ratio
v12_all(matid)=v12
!
! Initialize thermal expansion matrix
alphamat_all(matid,1:3,1:3)=alphamat
!
! Initialize burgers vector
burgerv_all(matid,1:maxnslip)=burgerv
!
!
!
! assign the global variables
!
! slip model
slipmodel_all(matid)=slipmodel
! slip parameters
slipparam_all(matid,:)=slipparam
! creep model
creepmodel_all(matid)=creepmodel
! creep parameters
creepparam_all(matid,:)=creepparam
! hardening model
hardeningmodel_all(matid)=hardeningmodel
! hardening parameters
hardeningparam_all(matid,:)=hardeningparam
! irradiation model
irradiationmodel_all(matid)=irradiationmodel
! irradiation parameters
irradiationparam_all(matid,:)=irradiationparam
!
!
! backstress parameters
backstressparam_all(matid,:)=backstressparam
!
! Initialize initial (undeformed) slip vectors
! This is needed once per element since the material is different
call initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3),
+ trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3),
+ forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip))
!
!
! Irradiation strength and hardening matrices are a function of slip vectors
! Therefore, the interaction matrices need to be computed here,
! after the calculation of slip vectors
if (irradiationmodel==2) then
call calculateintmats4irradmodel2(nslip,dirc,norc,
+ irradiationparam,sintmat2,hintmat2)
end if
!
!
! assign the interaction matrices
! Strength interaction between dislocations
sintmat1_all(matid,:,:) = sintmat1
! Strength interaction dislocation loops related with irradiation
sintmat2_all(matid,:,:) = sintmat2
! Latent hardening
hintmat1_all(matid,:,:) = hintmat1
! Hardening interaction matrix between dislocations
hintmat2_all(matid,:,:) = hintmat2
!
!
!
!
!
!
! assign undeformed slip directions
dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3)
norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3)
trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3)
linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3)
!
! Forest projection operator
forestproj_all(matid,1:nslip,1:nslip+nscrew) =
+ forestproj(1:nslip,1:nslip+nscrew)
!
!
! Slip to screw mapping
slip2screw_all(matid,1:nscrew,1:nslip) =
+ slip2screw(1:nscrew,1:nslip)
!
!
! Screw systems
screw_all(matid,1:nscrew)=screw(1:nscrew)
!
! Initialize Schmid tensor (needed for the calculation of Lp)
Schmidc_0=0.
do is=1,nslip
!
do i=1,3
do j=1,3
Schmidc_0(is,i,j) = dirc(is,i)*norc(is,j)
enddo
enddo
!
end do
!
! Assign undeformed Schmid tensor
Schmidc_0_all(matid,1:nslip,:,:) = Schmidc_0(1:nslip,:,:)
!
!
! Initial GND density (may or may not be present!)
gnd_0=statev_gnd_0(noel,npt,:)
!
! Calculate initial total and forest density
call totalandforest(
+ phaid, nscrew, nslip,
+ gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0,
+ for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip),
+ rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip))
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv(1:nslip), sintmat1(1:nslip,1:nslip),
+ sintmat2(1:nslip,1:nslip), tauc_0(1:nslip),
+ rhotot_0, sumrhotot_0, rhofor_0(1:nslip),
+ substructure_0, tausolute_0, loop_0(1:maxnloop),
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff_0(1:nslip))
!
!
statev_tauceff(noel,npt,1:maxnslip)=tauceff_0
!
! initialize stress
! 3D
if (ntens==6) then
statev_sigma(noel,npt,1:6)=stress
! 2D-plane strain
elseif (ntens==4) then
statev_sigma(noel,npt,1:4)=stress
! 2D-plane stress
elseif (ntens==3) then
statev_sigma(noel,npt,1:2)=stress(1:2)
statev_sigma(noel,npt,4)=stress(3)
end if
!
!
!
!
return
end subroutine initialize_atfirstinc
!
!
!
! Arrays allocated
subroutine allocate_arrays
use globalvariables, only : numel, numpt, numdim,
+ Euler, materialid, featureid, phaseid,
+ phaseid_all, numslip_all, numscrew_all,
+ dirc_0_all, norc_0_all, trac_0_all, linc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ ip_init, gradip2ip, ipcoords, ipdomain,
+ statev_sigma_t2, statev_gmatinv, statev_gmatinv_t,
+ statev_gmatinv_0, statev_gammasum, statev_gammasum_t,
+ statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t,
+ statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t,
+ statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t,
+ statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t,
+ statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t,
+ statev_forest, statev_forest_t, statev_substructure,
+ statev_substructure_t, statev_tausolute, statev_tausolute_t,
+ statev_totgammasum, statev_totgammasum_t,
+ statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t,
+ statev_Lambda, statev_Lambda_t, statev_curvature,
+ statev_loop, statev_loop_t, statev_gnd_0,
+ caratio_all, cubicslip_all, Cc_all, gf_all,
+ G12_all, v12_all, alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all, Schmidc_0_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all, statev_backstress_t,
+ statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff, statev_Fr
!
use userinputs, only : maxnslip, maxnparam,
+ maxnmaterial, maxnloop
implicit none
integer i, j, k
!
!
! Can be different for each element
allocate(Euler(numel,3))
Euler=0.
!
! For multiple grains
allocate(featureid(numel,numpt))
featureid=0
!
! For multi materials
allocate(materialid(numel,numpt))
materialid=0
!
! For multi phases
allocate(phaseid(numel,numpt))
phaseid=0
!
! Initial crystal to sample transformation
!
! For multi material case with varying number of slip systems
allocate(numslip_all(maxnmaterial))
numslip_all=0
!
! For multi material case with varying number of screw systems
allocate(numscrew_all(maxnmaterial))
numscrew_all=0
!
! Screw systems
allocate(screw_all(maxnmaterial,maxnslip))
screw_all=0
!
!
! For multi material case with varying number of slip systems
allocate(phaseid_all(maxnmaterial))
phaseid_all=0
phaseid_all=0
!
! Allocate slip systems
allocate(dirc_0_all(maxnmaterial,maxnslip,3))
dirc_0_all=0.
allocate(norc_0_all(maxnmaterial,maxnslip,3))
norc_0_all=0.
allocate(trac_0_all(maxnmaterial,maxnslip,3))
trac_0_all=0.
allocate(linc_0_all(maxnmaterial,2*maxnslip,3))
linc_0_all=0.
! Allocate initial Schmid tensor
allocate(Schmidc_0_all(maxnmaterial,maxnslip,3,3))
Schmidc_0_all=0.
!
! Forest projections for GND
allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2))
forestproj_all=0.
!
! Mapping for dislocations at slip sytems to screw systems for GND
allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip))
slip2screw_all=0.
!
! IP domain size (area/volume)
allocate(ipdomain(numel,numpt))
ipdomain=0.
!
!
! These are needed for GND calculations
allocate(ipcoords(numel,numpt,numdim))
ipcoords=0.
allocate(ip_init(numel,numpt))
ip_init=0 ! very important to set to zero initially
!
! Allocate arrays related with shape functions
! Note the gradient is 3-dimensional ("numdim" is not used!)
allocate(gradip2ip(numel,numpt+1,3,numpt))
gradip2ip=0.
!
!
! Allocate state variables
allocate(statev_gmatinv(numel,numpt,3,3))
statev_gmatinv=0.
allocate(statev_gmatinv_t(numel,numpt,3,3))
statev_gmatinv_t=0.
allocate(statev_gmatinv_0(numel,numpt,3,3))
statev_gmatinv_0=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_gmatinv(i,j,k,k)=1.
statev_gmatinv_t(i,j,k,k)=1.
statev_gmatinv_0(i,j,k,k)=1.
end do
end do
end do
!
allocate(statev_gammasum(numel,numpt,maxnslip))
statev_gammasum=0.
allocate(statev_gammasum_t(numel,numpt,maxnslip))
statev_gammasum_t=0.
allocate(statev_gammadot(numel,numpt,maxnslip))
statev_gammadot=0.
allocate(statev_gammadot_t(numel,numpt,maxnslip))
statev_gammadot_t=0.
allocate(statev_Fp(numel,numpt,3,3))
statev_Fp=0.
allocate(statev_Fp_t(numel,numpt,3,3))
statev_Fp_t=0.
allocate(statev_Fth(numel,numpt,3,3))
statev_Fth=0.
allocate(statev_Fth_t(numel,numpt,3,3))
statev_Fth_t=0.
allocate(statev_Fr(numel,numpt,3,3))
statev_Fr=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_Fp(i,j,k,k)=1.
statev_Fp_t(i,j,k,k)=1.
statev_Fth(i,j,k,k)=1.
statev_Fth_t(i,j,k,k)=1.
statev_Fr(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_sigma(numel,numpt,6))
statev_sigma=0.
allocate(statev_sigma_t(numel,numpt,6))
statev_sigma_t=0.
allocate(statev_sigma_t2(numel,numpt,6))
statev_sigma_t2=0.
allocate(statev_jacobi(numel,numpt,6,6))
statev_jacobi=0.
allocate(statev_jacobi_t(numel,numpt,6,6))
statev_jacobi_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,6
statev_jacobi(i,j,k,k)=1.
statev_jacobi_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_tauc(numel,numpt,maxnslip))
statev_tauc=0.
allocate(statev_tauc_t(numel,numpt,maxnslip))
statev_tauc_t=0.
!
allocate(statev_tauceff(numel,numpt,maxnslip))
statev_tauceff=0.
!
allocate(statev_maxx(numel,numpt))
statev_maxx=0.
allocate(statev_maxx_t(numel,numpt))
statev_maxx_t=0.
allocate(statev_Eec(numel,numpt,6))
statev_Eec=0.
allocate(statev_Eec_t(numel,numpt,6))
statev_Eec_t=0.
!
! Incompatibility
allocate(statev_Lambda(numel,numpt,9))
statev_Lambda = 0.
allocate(statev_Lambda_t(numel,numpt,9))
statev_Lambda_t = 0.
! Lattice curvature
allocate(statev_curvature(numel,numpt,9))
statev_curvature = 0.
!
! Allocated as twice the maxslip to leave space for screws
allocate(statev_gnd(numel,numpt,2*maxnslip))
statev_gnd=0.
allocate(statev_gnd_t(numel,numpt,2*maxnslip))
statev_gnd_t=0.
allocate(statev_gnd_0(numel,numpt,2*maxnslip))
statev_gnd_0=0.
allocate(statev_ssd(numel,numpt,maxnslip))
statev_ssd=0.
allocate(statev_ssd_t(numel,numpt,maxnslip))
statev_ssd_t=0.
allocate(statev_ssdtot(numel,numpt))
statev_ssdtot=0.
allocate(statev_ssdtot_t(numel,numpt))
statev_ssdtot_t=0.
allocate(statev_forest(numel,numpt,maxnslip))
statev_forest=0.
allocate(statev_forest_t(numel,numpt,maxnslip))
statev_forest_t=0.
allocate(statev_substructure(numel,numpt))
statev_substructure=0.
allocate(statev_substructure_t(numel,numpt))
statev_substructure_t=0.
allocate(statev_tausolute(numel,numpt))
statev_tausolute=0.
allocate(statev_tausolute_t(numel,numpt))
statev_tausolute_t=0.
allocate(statev_totgammasum(numel,numpt))
statev_totgammasum=0.
allocate(statev_totgammasum_t(numel,numpt))
statev_totgammasum_t=0.
allocate(statev_evmp(numel,numpt))
statev_evmp=0.
allocate(statev_evmp_t(numel,numpt))
statev_evmp_t=0.
!
allocate(statev_plasdiss(numel,numpt))
statev_plasdiss=0.
allocate(statev_plasdiss_t(numel,numpt))
statev_plasdiss_t=0.
!
! allocate as sparse array
allocate(statev_loop(numel,numpt,maxnloop))
statev_loop=0.
allocate(statev_loop_t(numel,numpt,maxnloop))
statev_loop_t=0.
!
allocate(statev_backstress(numel,numpt,maxnslip))
statev_backstress=0.
allocate(statev_backstress_t(numel,numpt,maxnslip))
statev_backstress_t=0.
!
! Material parameters
allocate(caratio_all(maxnmaterial))
caratio_all=0.
allocate(cubicslip_all(maxnmaterial))
cubicslip_all=0
allocate(Cc_all(maxnmaterial,6,6))
Cc_all=0.
allocate(gf_all(maxnmaterial))
gf_all=0.
allocate(G12_all(maxnmaterial))
G12_all=0.
allocate(v12_all(maxnmaterial))
v12_all=0.
allocate(alphamat_all(maxnmaterial,3,3))
alphamat_all=0.
allocate(burgerv_all(maxnmaterial,maxnslip))
burgerv_all=0.
!
!
! Material model parameters
allocate(slipmodel_all(maxnmaterial))
slipmodel_all=0
allocate(slipparam_all(maxnmaterial,maxnparam))
slipparam_all=0.
allocate(creepmodel_all(maxnmaterial))
creepmodel_all=0
allocate(creepparam_all(maxnmaterial,maxnparam))
creepparam_all=0.
allocate(hardeningmodel_all(maxnmaterial))
hardeningmodel_all=0
allocate(hardeningparam_all(maxnmaterial,maxnparam))
hardeningparam_all=0.
allocate(irradiationmodel_all(maxnmaterial))
irradiationmodel_all=0
allocate(irradiationparam_all(maxnmaterial,maxnparam))
irradiationparam_all=0.
!
allocate(backstressparam_all(maxnmaterial,maxnparam))
backstressparam_all=0.
!
! Interaction matrices
allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip))
sintmat1_all=0.
allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip))
sintmat2_all=0.
allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip))
hintmat1_all=0.
allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip))
hintmat2_all=0.
!
!
!
return
end subroutine allocate_arrays
!
!
!
!
!
!
!
!
!
!
!
!
! This subroutine assigns identity tensors
! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3)
subroutine initialize_identity
use globalvariables, only : I3, I6, I9, eijk
implicit none
integer :: i, j, k, l
!
I3=0.
I6=0.
I9=0.
!
! Identity matrix (3x3)
do i=1,3
I3(i,i)=1.
enddo
!
!
! Identity matrix (6x6)
do i=1,6
I6(i,i)=1.
enddo
!
! Identity matrix (9x9)
do i=1,9
I9(i,i)=1.
enddo
!
!
! Permutation symbol (3x3x3)
eijk=0.
eijk(1,2,3)=1.
eijk(2,3,1)=1.
eijk(3,1,2)=1.
eijk(3,2,1)=-1.
eijk(2,1,3)=-1.
eijk(1,3,2)=-1.
!
return
end subroutine initialize_identity
!
!
! This subroutine assigns orientations
subroutine initialize_orientations(Euler,gmatinv)
use utilities, only: Euler2ori
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: gmatinv(3,3)
real(8) :: g(3,3)
!
!
! Sample to crystal transformation
call Euler2ori(Euler,g)
!
!
! Crystal to sample tranformation
gmatinv = transpose(g)
!
!
return
end subroutine initialize_orientations
!
!
! All slip systems of different phases are initialized
! 1: BCC
! 2: FCC
! 3: HCP
! 4: alpha-uranium
! Forest projections are initialized here!
! The number of slip systems will be identified in materials card
! Slip directions
subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw,dirc,norc,trac,linc,forestproj,slip2screw)
use userinputs, only : maxnslip
use globalvariables, only : dir1, nor1, dir2, nor2,
+ dir3h, nor3h, dir4, nor4
use utilities, only: vecprod
use errors, only: error
implicit none
! Inputs
integer, intent(in) :: phaid, nslip, nscrew
real(8), intent(in) :: caratio
! Outputs
real(8), dimension(nslip,3), intent(out) :: dirc
real(8), dimension(nslip,3), intent(out) :: norc
real(8), dimension(nslip,3), intent(out) :: trac
real(8), dimension(nslip+nscrew,3), intent(out) :: linc
real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj
real(8), dimension(nscrew,nslip), intent(out) :: slip2screw
integer, dimension(nscrew), intent(out) :: screw
!
! Local variables used within this subroutine
real(8) :: dir(48,3), nor(48,3)
real(8) :: sdir(nslip+nscrew,3)
real(8) :: res
integer :: is, i, j
!
! caratio (c/a) ratio is only used for HCP materials
! So, caratio can take any value for other phases than HCP
!
! Reset arrays
dirc=0.; norc=0.
dir=0.; nor=0.
!
! BCC phase
if (phaid == 1) then
!
!
!
! Normalize slip directions and normals
do is=1, 48
dir(is,:) = dir1(is,:)/norm2(dir1(is,:))
!
nor(is,:) = nor1(is,:)/norm2(nor1(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
! FCC phase
elseif (phaid == 2) then
!
!
!
!
! Normalize slip directions and normals
do is=1,18
dir(is,:) = dir2(is,:)/norm2(dir2(is,:))
!
nor(is,:) = nor2(is,:)/norm2(nor2(is,:))
end do
!
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
!
!
!
! HCP phase
elseif (phaid == 3) then
!
! slip direction conversion
! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)])
do is=1,30
dir(is,1) = 3.*dir3h(is,1)/2.
dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2.
dir(is,3) = dir3h(is,4)*caratio
end do
!
!
! slip plane conversion
! (hkil)->(h (h+2k)/sqrt(3) l/(c/a))
do is=1,30
nor(is,1) = nor3h(is,1)
nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.)
nor(is,3) = nor3h(is,4)/caratio
end do
!
! Normalize slip directions and normals
do is=1,30
dir(is,:) = dir(is,:)/norm2(dir(is,:))
!
nor(is,:) = nor(is,:)/norm2(nor(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
! alpha-Uranium
elseif (phaid == 4) then
!
! Normalize slip directions and normals
do is=1,8
dir(is,:) = dir4(is,:)/norm2(dir4(is,:))
!
nor(is,:) = nor4(is,:)/norm2(nor4(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
else
!
! Error message needed!
! Phase number is not within the available options
call error(4)
!
!
!
end if
!
!
! Transverse directions
trac = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3))
!
end do
!
!
!
! Dislocation line directions:
!
! If screw systems are defined
if (nscrew>0) then
!
!
! Build up the screw slip systems
select case(phaid)
!
!
!
! BCC
case(1)
!
! a/2<111>
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 6
!
!
! FCC
case(2)
!
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 4
screw(5) = 6
screw(6) = 8
!
!
!
! HCP
case(3)
!
! slip
screw(1) = 1
screw(2) = 2
screw(3) = 3
!
screw(4) = 7
screw(5) = 8
screw(6) = 9
screw(7) = 10
screw(8) = 11
screw(9) = 12
!
!
!
!
end select
!
end if
!
!
!
! slip2screw mapping
slip2screw = 0.
! Loop through the defined screw systems for equivalency
do i = 1, nscrew
!
! Screw system corresponding slip system
is = screw(i)
!
! Set the mapping to 1/2
slip2screw(i,is) = 0.5
!
! Loop through all possible slip sytems
do j = 1, nslip
!
! Caclulate the difference in Burgers vector
res = dot_product(dirc(is,1:3),dirc(j,1:3))
!
! If all the components of the vector is the same
if (abs(res)>0.99) then
!
! Assign the component of mapping as 1/2
slip2screw(i,j) = 0.5
!
!
end if
!
! Loop for slip sytems
end do
!
!
! Loop for screw systems
end do
!
!
!
!
!
!
! Calculate line directions for edge dislocations
linc = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3))
!
end do
!
! Calculate line directions for screw dislocations
! If screw dislocations exist
if (nscrew>0) then
!
do i = 1, nscrew
!
linc(nslip+i,1:3) = dirc(screw(i),1:3)
!
end do
!
end if
!
!
! Compute forest projection operator for GNDs
forestproj = 0.
do i = 1, nslip
!
do j = 1, nslip+nscrew
!
forestproj(i,j) =
+ abs(dot_product(norc(i,1:3),linc(j,1:3)))
!
enddo
!
enddo
!
!
!
!
!
!
!
!
return
end subroutine initialize_slipvectors
!
!
!
!
end module initializations
================================================
FILE: Example - Residual deformation/innerloop.f
================================================
module innerloop
implicit none
contains
!
!
subroutine Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
use globalvariables, only : I6
!
use userinputs, only : maxniter, tolerance,
+ maxnparam, maxnloop, SVDinversion, maxnslip
!
use utilities, only : matvec6,
+ nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use errors, only : error
!
implicit none
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(in) :: gammasum(nslip)
!
! INOUTS
! Cauchy stress
real(8), intent(inout) :: sigma(6)
! overall crss
real(8), intent(inout) :: tau(nslip)
! convergence flag
integer, intent(inout) :: cpconv
!
! OUTPUTS
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! plastic velocity gradient
real(8), intent(out) :: Lp(3,3)
! Total deformation rate
real(8), intent(out) :: Dp(3,3)
! Total deformation rate
real(8), intent(out) :: dstranp33(3,3)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8), intent(out) :: invdpsi_dsigma(6,6)
! number of iterations
integer, intent(out) :: iter
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3)
! Sym part of plastic velocity gradient for slip
real(8) Dp_s(3,3)
! Sym part of plastic velocity gradient for creep
real(8) Dp_c(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtauc_c(nslip)
!
! plastic strain increment
real(8) :: dstranp(6)
!
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
!
!
! stress increment
real(8) :: dsigma(6)
!
! error flag for svd inversion
integer :: err
!
integer :: is
!
! Reset variables for the inner iteration
psinorm = 1.
iter = 0
!
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= tolerance)
+.and.(iter < maxniter).and.(cpconv == 1))
!
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
Lp_s = 0.
Dp_s = 0.
Pmat_s = 0.
gammadot_s = 0.
!
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! exponential law
elseif (slipmodel == 2) then
!
!
call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,nslip,phaid,
+ mattemp,slipparam,irradiationmodel,
+ irradiationparam,cubicslip,caratio,
+ Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
end if
!
!
!
! Slip due to creep
if (creepmodel == 0) then
!
!
Lp_c = 0.
Dp_c = 0.
Pmat_c = 0.
gammadot_c = 0.
!
!
elseif (creepmodel == 1) then
!
!
!
call expcreep(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,dt,nslip,phaid,
+ mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c,
+ gammadot_c,dgammadot_dtau_c,
+ dgammadot_dtauc_c)
!
!
!
!
endif
!
!
! Sum the effects of creep and slip rates
Lp = Lp_s + Lp_c
Dp = Dp_s + Dp_c
Pmat = Pmat_s + Pmat_c
gammadot = gammadot_s + gammadot_c
!
!
!
! Check for NaN in the slip rates
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for the Pmat
if(any(Pmat /= Pmat)) then
! did not converge
cpconv = 0
return
endif
!
!
!
! Plastic strain increment
dstranp33 = Dp*dt
call matvec6(dstranp33,dstranp)
dstranp(4:6)=2.*dstranp(4:6)
!
!
!
!
! Tangent-stiffness calculation
! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007)
dpsi_dsigma = I6 + matmul(Cs, Pmat)
!
!
!
! Invert (double precision version)
call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6)
!
!
! If inversion is not successfull!
! Check for the inverse
if(any(invdpsi_dsigma /= invdpsi_dsigma)) then
!
! Try using singular value decomposition
! If singular value decomposition is ON
if (SVDinversion==1) then
!
! Invert
call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err)
!
!
!
else
!
!
! did not converge
err = 1
!
!
!
end if
!
! Check again and if still not successfull
if(err==1) then
! did not converge
cpconv = 0
return
end if
!
!
endif
!
!
!
! residual (predictor - corrector scheme)
psi = sigmatr - sigma - matmul(Cs,dstranp)
!
! norm of the residual
psinorm = sqrt(sum(psi*psi))
!
!
! stress increment
dsigma = matmul(invdpsi_dsigma,psi)
!
!
! stress update
sigma = sigma + dsigma
!
!
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! increment iteration no.
iter = iter + 1
!
! End of NR iteration (inner loop)
end do
!
!
!
!
!
return
end subroutine Dunne_innerloop
!
!
!
!
!
!
!
!
! This subroutine is written by Chris Hardie (11/10/2023)
! Explicit state update rule
! Solution using state variables at the former time step
subroutine Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnslip,
+ inversetolerance
!
use utilities, only : matvec6, gmatvec6
!
use slipreverse, only : sinhslipreverse, powerslipreverse,
+ doubleexpslipreverse
!
!
implicit none
!
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! absolute value of trial RSS
real(8), intent(in) :: abstautr(nslip)
! sign of trial RSS
real(8), intent(in) :: signtautr(nslip)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
!
! OUTPUTS
! Cauchy stress
real(8), intent(out) :: sigma(6)
! Number of iterations
integer, intent(out) :: iterinverse
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! slip rates for slip
real(8) gammadot_s(nslip)
! absolute slip rates
real(8) absgammadot_s(nslip)
! sign of gammadot_s
real(8) signgammadot_s(nslip)
! derivative of rss wrt slip rates for slip
real(8) dtau_dgammadot_s(nslip,nslip)
! derrivative of error function
real(8) dpsi_dgammadot(nslip,nslip)
! inverse of derivative above
real(8) dpsi_dgammadotinv(nslip,nslip)
! slip correction
real(8) dgammadot(nslip)
! Derivative of slip law in forward direction
real(8) :: dgammadot_dtau(nslip)
! rss at the former time step
real(8) :: tau(nslip), tau_e(nslip)
! absolute value of rss at the former time step
real(8) :: abstau(nslip)
! sign of rss at the former time step
real(8) :: signtau(nslip)
!
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psinorm2, psi(nslip)
!
! Forward Jacobian
real(8) :: Pmat(6,6)
real(8) :: dpsi_dsigma(6,6)
! LU decomposition matricies for calculation of determinant
! real(8), allocatable :: l(:,:), u(:,:)
! integer, allocatable :: p(:,:)
!
! plastic strain increment
real(8) :: plasstraininc33(3,3), plasstraininc(6)
real(8) :: plasstrainrate(3,3)
!
! Shear Stiffness Matrix
real(8) :: G(nslip,nslip)
!
! other variables
real(8) :: dummy6(6), damping, iter_max, activesum
integer :: is
!
! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6))
!
!
! Reset variables for iteration
iter_max=10000.0
iterinverse = 0
psinorm = 1.0d+200
psinorm2 = 1.0d+200
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigmatr
abstau = abstautr
signtau =signtautr
tau_e = abstau*signtau
gammadot_s=0.
absgammadot_s=0.
Lp_s=0.
!
! Build Shear stiffness matrix
!
G = 0.
do is = 1, nslip
dummy6 = matmul(Cs, Schmidvec(is,:))
G(is,is) = dot_product(Schmidvec(is,:), dummy6)
end do
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2))
!
! increment iteration no.
iterinverse = iterinverse + 1
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
gammadot_s = 0.
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslipreverse(
+ Schmid,SchmidxSchmid,signtau,
+ abstau,tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,
+ absgammadot_s, gammadot_s,
+ dtau_dgammadot_s, dgammadot_dtau,Pmat)
!
!
!
! double exponent law (exponential law)
elseif (slipmodel == 2) then
!
!
call doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,Pmat,absgammadot_s,gammadot_s,
+ dtau_dgammadot_s,dgammadot_dtau)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s,
+ dgammadot_dtau, Pmat)
!
!
end if
!
! calculate resolved shear stress on slip systems
! rss and its sign
activesum=0
do is = 1, nslip
tau(is) = signtau(is)*abstau(is)
if (abstau(is) .GE. tauceff(is)) then
activesum=activesum+1.0
end if
end do
!
! residual (predictor - corrector) including backstress
psi = tau - X - tau_e
!
! norm of the residual
psinorm2 = sqrt(sum(psi*psi))
!
! Forward Jacobian
dgammadot_dtau=abs(dgammadot_dtau)*dt
psinorm = maxval(dgammadot_dtau)
!
! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u)
!
!
!
! dpsi_dgammadot
!
dpsi_dgammadot = dtau_dgammadot_s + G*dt
!
! Invert diagonal matrix
dpsi_dgammadotinv=0.
do is = 1, nslip
dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is)
end do
!
!
damping=min(2.0/activesum, 1.0)!0.5)
! damping = 0.5
! if (psinorm > 200.0) then
! damping=min(2.0/activesum, 0.5)
! end if
!
! slip increment
dgammadot = matmul(dpsi_dgammadotinv,psi)
!
gammadot_s = gammadot_s-damping*dgammadot
!
!
! Calculate Plastic Strain
Lp_s=0.; plasstrainrate=0.
do is = 1, nslip
Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:)
plasstrainrate = plasstrainrate +
+ gammadot_s(is)*Schmid(is,:,:)
absgammadot_s(is) = abs(gammadot_s(is))
signgammadot_s(is)= sign(1.0,gammadot_s(is))
end do
!
! plastic strain rate
plasstrainrate = (plasstrainrate +
+ transpose(plasstrainrate))/2.
!
!
! Plastic strain increment
plasstraininc33 = plasstrainrate*dt
call matvec6(plasstraininc33,plasstraininc)
plasstraininc(4:6)=2.*plasstraininc(4:6)
call gmatvec6(plasstraininc33,plasstraininc)
!
! Calculate rss following plastic relaxation
!
sigma=sigmatr-matmul(Cs,plasstraininc)
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau_e(is) = dot_product(Schmidvec(is,:),sigma)
tau(is) = tau_e(is)
signtau(is) = sign(1.0,tau(is))
abstau(is) = abs(tau(is))
end do
!
! check if slip is changing direction
do is = 1, nslip
if (signgammadot_s(is) /= signtau(is)) then
gammadot_s(is)=0.0
absgammadot_s(is)=0.0
end if
end do
!
if (iterinverse > iter_max) then
psinorm=1e-10
psinorm2=1e-10
end if
!
! End of NR iteration for stress approximation
end do
!active_s=1
!do is = 1, nslip
! if (absgammadot_s(is) > 0.0) then
! active_s(is)=1
! end if
!end do
return
end subroutine Hardie_innerloop
!
end module innerloop
================================================
FILE: Example - Residual deformation/irradiation.f
================================================
! Specific subroutines for irradiation models
!
! Strength and hardening interaction matrices for irradiation model-2
module irradiation
implicit none
!
!
contains
!
!
! Subroutine to calculate strength interaction matrix for
! irradiation model-2
! Ref: https://doi.org/10.1016/j.actamat.2022.118361
subroutine calculateintmats4irradmodel2(nslip, dirc, norc,
+ irradiationparam, sintmat, hintmat)
use userinputs, only: maxnslip, maxnparam
implicit none
! Inputs
! Number of slip systems
integer, intent(in) :: nslip
! Normalize slip directions
real(8), intent(in) :: dirc(maxnslip,3)
! Normalized slip plane normals
real(8), intent(in) :: norc(maxnslip,3)
! Irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! Outputs
! Strength interaction matrix
! Strength interaction: sintmat (nslip x nloop)
real(8), intent(out) :: sintmat(maxnslip,maxnslip)
! Hardening (Softening) interaction matrix
! Hardening interaction: hintmat (nloop x nslip)
real(8), intent(out) :: hintmat(maxnslip,maxnslip)
! Variables used in this subroutine
integer :: nloop
! reaction vector
real(8) :: r(3)
! Projected vector (reaction segment)
real(8) :: a
integer :: i, j, ind
!
!
!
!
! Reset arrays
sintmat = 0.
hintmat = 0.
!
!
! Number of types of defects
nloop = int(irradiationparam(1))
!
!
do i=1,nslip
!
do j=1,nloop
!
! Slip system index corresponding to the defect type
ind = int(irradiationparam(7+j))
!
! What is the reaction product for the gliding dislocation on slip
! system 'i' and defect type 'j'?
r = dirc(i,:) + dirc(ind,:)
!
! Is this reaction in the slip plane of slip system 'i'?
a = dot_product(norc(i,:), r)
!
if (a==0.) then
sintmat(i,j)=irradiationparam(12)
hintmat(j,i)=irradiationparam(14)
else
sintmat(i,j)=irradiationparam(11)
hintmat(j,i)=irradiationparam(13)
end if
!
end do
!
end do
!
!
!
!
!
!
!
end subroutine calculateintmats4irradmodel2
!
!
!
end module irradiation
================================================
FILE: Example - Residual deformation/meshprop.f
================================================
! Jan. 01st, 2023
! Eralp Demir
!
!
! ABAQUS Analysis User's Manual (6.10)
! 2D-Plane strain elements
! CPE4 4-node bilinear 4-integration points
! CPE6 6-node quadratic 3-integration points
! CPE8 8-node biquadratic 9-integration points
! CPE8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 2D-Plane stress elements
! CPS4 4-node bilinear 4-integration points
! CPS6 6-node quadratic 3-integration points
! CPS8 8-node biquadratic 9-integration points
! CPS8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 3D - element types
! C3D6 6-node linear triangular prism 4-integration points
! C3D8 8-node linear brick 8-integration points
! C3D10 10-node quadratic tetrahedron 4-integration points
! C3D15 15-node quadratic triangular prism 9-integration points
! C3D20 20-node quadratic brick 27-integration points
! C3D20R 20-node quadratic brick 8-integration points (reduced integration)
!
module meshprop
implicit none
contains
!
! Finite element properties
! based on element type
subroutine feprop
use errors, only : error
use globalvariables, only : eltyp, numel,
+ numtens, numdim, numpt, nnpel,
+ Nmat, invNmat, dNmat, dNmatc,
+ ipweights, calculategradient
use userinputs, only : gndlinear, gndmodel
use utilities, only: nolapinverse
!
!
implicit none
!
! Gaussian point coordinates
real(8) :: a, b
! Parametric coordinates
real(8) :: g, h, r
!
! Separate variables are used for each element type
! in order to avoid using allocatables!
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP4(4,2)
! Shape functions (nnpel)
real(8) :: N_CP4(4)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP4(2,4)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP4(4,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP4(4,4)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP4(4,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP4(2,4)
!
!
! Element type: CPE6 or CPS6
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP6(3,2)
! Shape functions (nnpel)
! Linear version
real(8) :: N_CP3(3)
! Quadratic version
real(8) :: N_CP6(6)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_CP3(2,3)
! Quadratic version
real(8) :: dN_CP6(2,6)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_CP3(3,3)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_CP6(6,6)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_CP3(3,3)
! Quadratic version
real(8) :: invNmat_CP6(6,3)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_CP3(3,2,3)
! Quadratic version
real(8) :: dNmat_CP6(3,2,6)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_CP3(2,3)
! Quadratic version
real(8) :: dNmatc_CP6(2,6)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP6(3,2)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP3(3,2)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_CP6(6,3)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_CP6(6,6)
!
!
! Element type: CPE8 or CPS8
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP8(9,2)
! Shape functions (nnpel)
real(8) :: N_CP8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP8(2,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8(9,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8(8,9)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP8(9,2,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8(2,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8(8,8)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8lin(9,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8lin(4,9)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_CP8lin(9,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8lin(2,4)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8lin(4,4)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8lin(4,4)
!
!
! Element type: C3D8 or C3D20R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D8(8,3)
! Shape functions (nnpel)
real(8) :: N_C3D8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D8(3,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D8(8,8)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D8(8,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D8(3,8)
!
!
! Element type: C3D10
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D10(4,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D4(4)
! Quadratic version
real(8) :: N_C3D10(10)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D4(3,4)
! Quadratic version
real(8) :: dN_C3D10(3,10)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_C3D4(4,4)
! Linear version (numpt_sub x nnpel)
real(8) :: Nmat_sub_C3D4(6,4)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D10(10,10)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_C3D4(4,4)
! Quadratic version
real(8) :: invNmat_C3D10(10,4)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D4(4,3,4)
! Quadratic version
real(8) :: dNmat_C3D10(4,3,10)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D4(3,4)
! Quadratic version
real(8) :: dNmatc_C3D10(3,10)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D10(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D4(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D10(10,4)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D10(10,10)
!
!
!
! Element type: C3D15
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D15(9,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D6(6)
! Quadratic version
real(8) :: N_C3D15(15)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D6(3,6)
! Quadratic version
real(8) :: dN_C3D15(3,15)
! Shape function matrix
! Linear version (numpt x nnpel_sub)
real(8) :: Nmat_C3D6(9,6)
! Quadratic version (numpt x nnpel_sub)
real(8) :: Nmat_sub_C3D6(6,6)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D15(15,15)
! Coefficient matrix
! Linear version (nnpel_sub x numpt)
real(8) :: coeff_C3D6(6,6)
! Linear version (nnpel_sub x numpt)
real(8) :: invNmat_C3D6(6,9)
! Quadratic version (nnpel x numpt)
real(8) :: invNmat_C3D15(15,9)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D6(9,3,6)
! Quadratic version
real(8) :: dNmat_C3D15(9,3,15)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D6(3,6)
! Quadratic version
real(8) :: dNmatc_C3D15(3,15)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D15(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D6(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D15(15,9)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D15(15,15)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D6(6,6)
!
!
!
!
! Element type: C3D20
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D20(27,3)
! Shape functions (nnpel)
real(8) :: N_C3D20(20)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D20(3,20)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20(27,20)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20(20,20)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20(20,27)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D20(27,3,20)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20(3,20)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20(20,20)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20lin(27,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20lin(8,27)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_C3D20lin(27,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20lin(3,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20lin(8,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20lin(8,8)
!
!
! Sub element properties
integer :: nnpel_sub, numpt_sub
! Parametric Gauss point coordinates
integer :: ipt
! Dummy integers
integer :: i, j
!
!
! Identify the element type
! Based on
! - number of integration points per element: numpt
! - dimension of the problem: ntens
call findelementtype(numtens,numpt,eltyp)
!
!
!
!
!! Output the element type
! write(*,*) 'ABAQUS element type: ', eltyp
!
select case(eltyp)
!
! Element type: CPE3 or CPS3 or CPE6R or CPS6R
! Use the same interpolation functions for the reduced elements
case('CPE3', 'CPS3', 'CPE6R', 'CPS6R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 3
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4R or CPS4R
! Use the same interpolation functions for the reduced elements
case('CPE4R', 'CPS4R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! Use the same interpolation functions for the reduced elements
case('CPE4', 'CPS4', 'CPE8R', 'CPS8R')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP4 = 0.
GPcoords_CP4(1,:) = (/ -1., -1. /)
GPcoords_CP4(2,:) = (/ 1., -1. /)
GPcoords_CP4(3,:) = (/ -1., 1. /)
GPcoords_CP4(4,:) = (/ 1., 1. /)
GPcoords_CP4 = GPcoords_CP4/sqrt(3.)
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
!
! Gauss point coordinates
g = GPcoords_CP4(ipt,1)
h = GPcoords_CP4(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP4(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP4,invNmat_CP4,4)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP4 = dN_CP4
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP4(:,:)
dNmat(:,:,:) = dNmat_CP4(:,:,:)
invNmat(:,:) = invNmat_CP4(:,:)
dNmatc(:,:) = dNmatc_CP4(:,:)
!
!
! Element type: CPE6 or CPS6
case('CPE6', 'CPS6')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./6.
!
!
!
!
! Gauss points
GPcoords_CP6 = 0.
GPcoords_CP6(1,:) = (/ 1./6., 1./6. /)
GPcoords_CP6(2,:) = (/ 2./3., 1./6. /)
GPcoords_CP6(3,:) = (/ 1./6., 2./3. /)
!
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 3
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use CP3 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel) = N_CP3
!
! Shape function derivative
dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP3,invNmat_CP3,3)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Assign the center value
dNmatc_CP3 = dN_CP3
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP3(:,:)
dNmat(:,:,:) = dNmat_CP3(:,:,:)
invNmat(:,:) = invNmat_CP3(:,:)
dNmatc(:,:) = dNmatc_CP3(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Number of nodes per element
nnpel = 6
!
! Number of nodes per the sub element
nnpel_sub = 3
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_CP6 = 0.
GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /)
GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /)
GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /)
!
! Local coordinates (in its linear form)
GPcoords_sub_CP3 = 0.
GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /)
GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /)
GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /)
!
!
!
! Use CP6 (quadratic) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(ipt,1:nnpel) = N_CP6
!
! Shape function derivative
dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6
!
end do
!
!
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_CP6(ipt,1)
h = GPcoords_sub_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_CP3(ipt,1)
h = GPcoords_sub_CP3(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel_sub) = N_CP3
!
!
!
end do
!
!
IPmap_CP6=0.
! Identity matrix
do i=1,numpt
IPmap_CP6(i,i)=1.
end do
IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_CP3
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP6,coeff_CP6,6)
!
!
invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Assign the center value
dNmatc_CP6 = dN_CP6
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP6(:,:)
dNmat(:,:,:) = dNmat_CP6(:,:,:)
invNmat(:,:) = invNmat_CP6(:,:)
dNmatc(:,:) = dNmatc_CP6(:,:)
!
!
!
!
!
endif
!
!
!
!
!
! Element type: CPE8 or CPS8
case('CPE8', 'CPS8')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.308641975308642
ipweights(2) = 0.493827160493827
ipweights(3) = 0.308641975308642
ipweights(4) = 0.493827160493827
ipweights(5) = 0.790123456790124
ipweights(6) = 0.493827160493827
ipweights(7) = 0.308641975308642
ipweights(8) = 0.493827160493827
ipweights(9) = 0.308641975308642
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP8 = 0.
GPcoords_CP8(1,:) = (/ -1., -1. /)
GPcoords_CP8(2,:) = (/ 0., -1. /)
GPcoords_CP8(3,:) = (/ 1., -1. /)
GPcoords_CP8(4,:) = (/ -1., 0. /)
GPcoords_CP8(5,:) = (/ 0., 0. /)
GPcoords_CP8(6,:) = (/ 1., 0. /)
GPcoords_CP8(7,:) = (/ -1., 1. /)
GPcoords_CP8(8,:) = (/ 0., 1. /)
GPcoords_CP8(9,:) = (/ 1., 1. /)
GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Use CP4 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP8lin(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Make Nmat a square matrix
NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8lin,coeff_CP8lin,4)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP8lin = dN_CP4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8lin(:,:)
dNmat(:,:,:) = dNmat_CP8lin(:,:,:)
invNmat(:,:) = invNmat_CP8lin(:,:)
dNmatc(:,:) = dNmatc_CP8lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 8
!
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Shape function mapping
Nmat_CP8(ipt,1:nnpel) = N_CP8
!
! Shape function derivative
dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8
!
end do
!
! Make Nmat a square matrix
NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8,coeff_CP8,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Assign the center value
dNmatc_CP8 = dN_CP8
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8(:,:)
dNmat(:,:,:) = dNmat_CP8(:,:,:)
invNmat(:,:) = invNmat_CP8(:,:)
dNmatc(:,:) = dNmatc_CP8(:,:)
!
!
end if
!
!
case('C3D4')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
case('C3D6')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 6
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
case('C3D8R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
! Element type: C3D8 or C3D20R
! Use the same interpolation functions for the reduced element
case('C3D8','C3D20R')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Gauss points
GPcoords_C3D8 = 0.
GPcoords_C3D8(1,:) = (/ -1., -1., -1. /)
GPcoords_C3D8(2,:) = (/ 1., -1., -1. /)
GPcoords_C3D8(3,:) = (/ -1., 1., -1. /)
GPcoords_C3D8(4,:) = (/ 1., 1., -1. /)
GPcoords_C3D8(5,:) = (/ -1., -1., 1. /)
GPcoords_C3D8(6,:) = (/ 1., -1., 1. /)
GPcoords_C3D8(7,:) = (/ -1., 1., 1. /)
GPcoords_C3D8(8,:) = (/ 1., 1., 1. /)
GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.)
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D8(ipt,1)
h = GPcoords_C3D8(ipt,2)
r = GPcoords_C3D8(ipt,3)
!
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
!
!
! Shape function mapping
Nmat_C3D8(ipt,1:nnpel) = N_C3D8
!
!
!
! Shape function derivative
dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8
!
!
end do
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D8,invNmat_C3D8,8)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D8 = dN_C3D8
!
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D8(:,:)
dNmat(:,:,:) = dNmat_C3D8(:,:,:)
invNmat(:,:) = invNmat_C3D8(:,:)
dNmatc(:,:) = dNmatc_C3D8(:,:)
!
!
!
!
!
! Element type: C3D10
case('C3D10')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./4./6.
!
! Gauss points
a = 0.138196601125010
b = 0.585410196624968
!
!
GPcoords_C3D10 = 0.
GPcoords_C3D10(1,:) = (/ a, a, a /)
GPcoords_C3D10(2,:) = (/ b, a, a /)
GPcoords_C3D10(3,:) = (/ a, b, a /)
GPcoords_C3D10(4,:) = (/ a, a, b /)
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Number of nodes per the sub element
nnpel_sub = 0
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use C3D4 (linear) element function
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_C3D4(ipt,1:nnpel) = N_C3D4
!
! Shape function derivative
dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D4,invNmat_C3D4,4)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Assign the center value
dNmatc_C3D4 = dN_C3D4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D4(:,:)
dNmat(:,:,:) = dNmat_C3D4(:,:,:)
invNmat(:,:) = invNmat_C3D4(:,:)
dNmatc(:,:) = dNmatc_C3D4(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 10
!
! Number of nodes per the sub element
nnpel_sub = 4
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D10 = 0.
do i=1,numdim
GPcoords_sub_C3D10(1,i) =
+ 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i))
GPcoords_sub_C3D10(2,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i))
GPcoords_sub_C3D10(3,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(4,i) =
+ 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(5,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i))
GPcoords_sub_C3D10(6,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D4 = 0.
GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /)
GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /)
GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /)
GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /)
GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /)
GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /)
!
!
!
!
!
! Use C3D10 (quadratic) element function
write(*,*) 'Quadratic interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(ipt,1:nnpel) = N_C3D10
!
! Shape function derivative
dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10
!
!
end do
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D10(ipt,1)
h = GPcoords_sub_C3D10(ipt,2)
r = GPcoords_sub_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D4(ipt,1)
h = GPcoords_sub_C3D4(ipt,2)
r = GPcoords_sub_C3D4(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4
!
!
end do
!
!
! Identity matrix
IPmap_C3D10 = 0.
do i=1,numpt
IPmap_C3D10(i,i)=1.
end do
!
IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D4
!
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D10,coeff_C3D10,10)
!
!
!
invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Assign the center value
dNmatc_C3D10 = dN_C3D10
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D10(:,:)
dNmat(:,:,:) = dNmat_C3D10(:,:,:)
invNmat(:,:) = invNmat_C3D10(:,:)
dNmatc(:,:) = dNmatc_C3D10(:,:)
!
!
!
!
!
!
!
!
endif
!
!
!
! Element type: C3D15
case('C3D15')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1./6./3.
!
!
!
! Isoparametric coordinate (r-axis)
a = 0.774596669241483
!
!
GPcoords_C3D15 = 0.
GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /)
GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /)
GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /)
GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /)
GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /)
GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /)
GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /)
GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /)
GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /)
!
GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 6
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
! Use C3D6 (linear) element function
write(*,*) 'Linear interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_C3D6(ipt,1:nnpel) = N_C3D6
!
! Shape function derivative
dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6
!
end do
!
!
NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D6,coeff_C3D6,6)
!
!
invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6))
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Assign the center value
dNmatc_C3D6 = dN_C3D6
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D6(:,:)
dNmat(:,:,:) = dNmat_C3D6(:,:,:)
invNmat(:,:) = invNmat_C3D6(:,:)
dNmatc(:,:) = dNmatc_C3D6(:,:)
!
!
!
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 15
!
! Number of nodes of the sub-element
nnpel_sub = 6
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D15 = 0.
do i=1,numdim
GPcoords_sub_C3D15(1,i) =
+ 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i))
GPcoords_sub_C3D15(2,i) =
+ 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i))
GPcoords_sub_C3D15(3,i) =
+ 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i))
GPcoords_sub_C3D15(4,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i))
GPcoords_sub_C3D15(5,i) =
+ 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i))
GPcoords_sub_C3D15(6,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D6 = 0.
GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /)
GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /)
GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /)
GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /)
GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /)
GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /)
!
!
!
!
!
! Use C3D15 (quadratic) element function
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(ipt,1:nnpel) = N_C3D15
!
! Shape function derivative
dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15
!
!
end do
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D15(ipt,1)
h = GPcoords_sub_C3D15(ipt,2)
r = GPcoords_sub_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15
!
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D6(ipt,1)
h = GPcoords_sub_C3D6(ipt,2)
r = GPcoords_sub_C3D6(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6
!
!
!
end do
!
!
! Identity matrix
IPmap_C3D15=0.
do i=1,numpt
IPmap_C3D15(i,i)=1.
end do
IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D6
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D15,coeff_C3D15,15)
!
!
invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Assign the center value
dNmatc_C3D15 = dN_C3D15
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D15(:,:)
dNmat(:,:,:) = dNmat_C3D15(:,:,:)
invNmat(:,:) = invNmat_C3D15(:,:)
dNmatc(:,:) = dNmatc_C3D15(:,:)
!
!
!
!
!
!
endif
!
!
!
!
!
!
! Element type: C3D20
case('C3D20')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.171467764060357
ipweights(2) = 0.274348422496571
ipweights(3) = 0.171467764060357
ipweights(4) = 0.274348422496571
ipweights(5) = 0.438957475994513
ipweights(6) = 0.274348422496571
ipweights(7) = 0.171467764060357
ipweights(8) = 0.274348422496571
ipweights(9) = 0.171467764060357
ipweights(10) = 0.274348422496571
ipweights(11) = 0.438957475994513
ipweights(12) = 0.274348422496571
ipweights(13) = 0.438957475994513
ipweights(14) = 0.702331961591221
ipweights(15) = 0.438957475994513
ipweights(16) = 0.274348422496571
ipweights(17) = 0.438957475994513
ipweights(18) = 0.274348422496571
ipweights(19) = 0.171467764060357
ipweights(20) = 0.274348422496571
ipweights(21) = 0.171467764060357
ipweights(22) = 0.274348422496571
ipweights(23) = 0.438957475994513
ipweights(24) = 0.274348422496571
ipweights(25) = 0.171467764060357
ipweights(26) = 0.274348422496571
ipweights(27) = 0.171467764060357
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
GPcoords_C3D20 = 0.
GPcoords_C3D20(1,:)= (/ -1., -1., -1. /)
GPcoords_C3D20(2,:)= (/ 0., -1., -1. /)
GPcoords_C3D20(3,:)= (/ 1., -1., -1. /)
GPcoords_C3D20(4,:)= (/ -1., 0., -1. /)
GPcoords_C3D20(5,:)= (/ 0., 0., -1. /)
GPcoords_C3D20(6,:)= (/ 1., 0., -1. /)
GPcoords_C3D20(7,:)= (/ -1., 1., -1. /)
GPcoords_C3D20(8,:)= (/ 0., 1., -1. /)
GPcoords_C3D20(9,:)= (/ 1., 1., -1. /)
GPcoords_C3D20(10,:)= (/ -1., -1., 0. /)
GPcoords_C3D20(11,:)= (/ 0., -1., 0. /)
GPcoords_C3D20(12,:)= (/ 1., -1., 0. /)
GPcoords_C3D20(13,:)= (/ -1., 0., 0. /)
GPcoords_C3D20(14,:)= (/ 0., 0., 0. /)
GPcoords_C3D20(15,:)= (/ 1., 0., 0. /)
GPcoords_C3D20(16,:)= (/ -1., 1., 0. /)
GPcoords_C3D20(17,:)= (/ 0., 1., 0. /)
GPcoords_C3D20(18,:)= (/ 1., 1., 0. /)
GPcoords_C3D20(19,:)= (/ -1., -1., 1. /)
GPcoords_C3D20(20,:)= (/ 0., -1., 1. /)
GPcoords_C3D20(21,:)= (/ 1., -1., 1. /)
GPcoords_C3D20(22,:)= (/ -1., 0., 1. /)
GPcoords_C3D20(23,:)= (/ 0., 0., 1. /)
GPcoords_C3D20(24,:)= (/ 1., 0., 1. /)
GPcoords_C3D20(25,:)= (/ -1., 1., 1. /)
GPcoords_C3D20(26,:)= (/ 0., 1., 1. /)
GPcoords_C3D20(27,:)= (/ 1., 1., 1. /)
GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6)
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 8
!
!
!
!
! Use C3D8 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Shape function mapping
Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8
!
! Shape function derivative
dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20lin =
+ matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_C3D20lin =
+ matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D20lin = dN_C3D8
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20lin(:,:)
dNmat(:,:,:) = dNmat_C3D20lin(:,:,:)
invNmat(:,:) = invNmat_C3D20lin(:,:)
dNmatc(:,:) = dNmatc_C3D20lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 20
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Shape function mapping
Nmat_C3D20(ipt,1:nnpel) = N_C3D20
!
! Shape function derivative
dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20)
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20,coeff_C3D20,20)
!
! Overall mapping to map from the IPs to the nodes
invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20))
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Assign the center value
dNmatc_C3D20 = dN_C3D20
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20(:,:)
dNmat(:,:,:) = dNmat_C3D20(:,:,:)
invNmat(:,:) = invNmat_C3D20(:,:)
dNmatc(:,:) = dNmatc_C3D20(:,:)
!
!
end if
!
!
!
case default
!
call error(2)
!
!
end select
!
!
write(*,*) 'Dimension of the analysis: ', numdim
write(*,*) 'Number of integration points per element: ', numpt
! write(*,*) 'Number of nodes per element: ', nnpel
!
!
!
return
end subroutine feprop
!
!
!
! Find the number of nodes for displacement analysis (not for GND analysis)
subroutine findelementtype(numtens,numpt,eltyp)
implicit none
integer, intent(in) :: numtens
integer, intent(in) :: numpt
character(len=:), allocatable, intent(out) :: eltyp
!
!
! Determine the element type
! Based on the dimension of the problem (numdim=ntens)
!
! Dimension of the problem (2D-plane stress)
if (numtens==3) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPS3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPS4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPS6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPS8'
!
end select
!
! Dimension of the problem (2D - Plane strain)
elseif (numtens==4) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPE3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPE4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPE6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPE8'
!
end select
!
!
! Dimension of the problem (3D)
elseif (numtens==6) then
!
select case(numpt)
!
! 3D - C3D4 / C3D8R / C3D10R
case(1)
!
eltyp = 'C3D4'
!
! 3D - C3D6 / C3D15R
case(2)
!
eltyp = 'C3D6'
!
! 3D - C3D8 / C3D20R
case(8)
!
eltyp = 'C3D8'
!
! 3D - C3D10
case(4)
!
eltyp = 'C3D10'
!
! 3D - C3D15
case(9)
!
eltyp = 'C3D15'
!
! 3D - C3D20
case(27)
!
eltyp = 'C3D20'
!
end select
!
end if
!
write(*,*) 'Element type identified as: ', eltyp
!
return
end subroutine findelementtype
!
!
! Contains the element-by-element initializations
! Done only once at the first run
subroutine initialize_gradientoperators
use globalvariables, only : numel,
+ numdim, numpt, nnpel, gradip2ip, ipweights,
+ ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc
use userinputs, only : gndlinear
use utilities, only: nolapinverse, inv2x2, inv3x3
implicit none
! Gauss point coordinates in sample reference
real(8) :: xIP(numpt,numdim)
! Node point coordinates
real(8) :: xnode(nnpel,numdim)
! Jacobian transpose
real(8) :: JT(numdim,numdim)
! Jacobian inverse transpose
real(8) :: invJT(numdim,numdim)
! Determinant of the inversion
real(8) :: det
! Gradient operator
real(8) :: grad(numdim,nnpel)
! Overall mapping
real(8) :: grad_invN(numdim,numpt)
! Element number and ip number
integer :: iel, ipt
!
!
!
!
! Loop through each element
do iel = 1, numel
!
!
!
! Vectorize element ipcoordinates
xIP = 0.
do ipt = 1, numpt
!
xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim)
!
end do
!
!
!
!
!
xnode = matmul(invNmat,xIP)
!
!
!
!
!
! For each integration point
do ipt = 1, numpt
!
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode)
!
!
!
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! IP domain size
ipdomain(iel,ipt) = det * ipweights(ipt)
!
!
!
! Gradient operator
grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel))
!
!
!
! Overall mapping
grad_invN = matmul(grad,invNmat)
!
!
!
!
! Store
gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
! write(*,*) 'vol: ', sum(ipdomain(iel,:))
! write(*,*) '******************'
!
! For the center of the element
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmatc,xnode)
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! Gradient operator
grad = matmul(invJT,dNmatc)
!
!
! Overall mapping
grad_invN = matmul(grad, invNmat)
!
! Store
gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
!
return
end subroutine initialize_gradientoperators
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE3 or CPS3
subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - g - h
!
N(2) = g
!
N(3) = h
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
!
!
!
return
end subroutine CP3_N_dN
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE4 or CPS4 or CPE8R or CPS8R
subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP4 element
N(1) = (1. - g) * (1. - h) / 4.
!
N(2) = (1. + g) * (1. - h) / 4.
!
N(3) = (1. + g) * (1. + h) / 4.
!
N(4) = (1. - g) * (1. + h) / 4.
!
!
!
!
! Shape function derivatives wrt natural coords for CP4 element
!
! dN_dg
dN(1,1) = -1. * (1. - h) / 4.
!
dN(1,2) = 1. * (1. - h) / 4.
!
dN(1,3) = 1. * (1. + h) / 4.
!
dN(1,4) = -1. * (1. + h) / 4.
!
! dN_dh
dN(2,1) = (1. - g) * -1. / 4.
!
dN(2,2) = (1. + g) * -1. / 4.
!
dN(2,3) = (1. + g) * 1. / 4.
dN(2,4) = (1. - g) * 1. / 4.
!
!
!
!
!
return
end subroutine CP4_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE6 or CPS6
subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP6 element
N(1) = 2. * (0.5 - g - h) * (1. - g - h)
!
N(2) = 2. * g * (g - 0.5)
!
N(3) = 2. * h * (h - 0.5)
!
N(4) = 4. * g * (1. - g - h)
!
N(5) = 4. * g * h
!
N(6) = 4. * h * (1. - g - h)
!
!
!
!
! Shape function derivatives wrt natural coords for C3D4 element
! dN_dg
dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.)
!
dN(1,3) = 0.
!
dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.)
!
dN(1,5) = 4. * (1.) * h
!
dN(1,6) = 4. * h * (-1.)
!
! dN_dh
dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(2,2) = 0.
!
dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.)
!
dN(2,4) = 4. * g * (-1.)
!
dN(2,5) = 4. * g * (1.)
!
dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.)
!
!
!
!
return
end subroutine CP6_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE8 or CPS8
subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP8 element
N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h)
!
N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h)
!
N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h)
!
N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h)
!
N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h)
!
N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g)
!
N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h)
!
N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g)
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP8 element
! dN_dg
dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (-1.)
!
dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
!
dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (1.)
!
dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) +
+ 1./2. * (1. - g) * (1.) * (1. - h)
!
dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.)
!
dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) +
+ 1./2. * (1. - g) * (1.) * (1. + h)
!
dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.)
!
!
!
! dN_dh
dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (1.)
!
dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (-1.)
!
dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.)
!
dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) +
+ 1./2. * (1. - h) * (1.) * (1. + g)
!
dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.)
!
dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) +
+ 1./2. * (1. - h) * (1.) * (1. - g)
!
!
!
!
!
!
return
end subroutine CP8_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D4
subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - h - r - g
!
N(2) = g
!
N(3) = h
!
N(4) = r
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
dN(2,4) = 0.
!
!
! dN_dr
dN(3,1) = -1.
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = 1.
!
!
!
!
!
!
return
end subroutine C3D4_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D6
subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D6 element
N(1) = 1./2.*(1.-g-h)*(1.-r)
!
N(2) = 1./2.*g*(1.-r)
!
N(3) = 1./2.*h*(1.-r)
!
N(4) = 1./2.*(1.-g-h)*(1.+r)
!
N(5) = 1./2.*g*(1.+r)
!
N(6) = 1./2.*h*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = 1./2.*(-1.)*(1.-r)
!
dN(1,2) = 1./2.*(1.)*(1.-r)
!
dN(1,3) = 0.
!
dN(1,4) = 1./2.*(-1.)*(1.+r)
!
dN(1,5) = 1./2.*(1.)*(1.+r)
!
dN(1,6) = 0.
!
!
!
! dN_dh
dN(2,1) = 1./2.*(-1.)*(1.-r)
!
dN(2,2) = 0.
!
dN(2,3) = 1./2.*(1.)*(1.-r)
!
dN(2,4) = 1./2.*(-1.)*(1.+r)
!
dN(2,5) = 0.
!
dN(2,6) = 1./2.*(1.)*(1.+r)
!
!
!
! dN_dr
dN(3,1) = 1./2.*(1.-g-h)*(-1.)
!
dN(3,2) = 1./2.*g*(-1.)
!
dN(3,3) = 1./2.*h*(-1.)
!
dN(3,4) = 1./2.*(1.-g-h)*(1.)
!
dN(3,5) = 1./2.*g*(1.)
!
dN(3,6) = 1./2.*h*(1.)
!
!
!
!
!
!
return
end subroutine C3D6_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D8
subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D8 element
N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r)
!
N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r)
!
N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r)
!
N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r)
!
N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r)
!
N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r)
!
N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r)
!
N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D8 element
! dN_dg
dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r)
!
dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r)
!
dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r)
!
dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r)
!
dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r)
!
dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r)
!
dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r)
!
dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r)
!
!
!
!
! dN_dh
dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r)
!
dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r)
!
dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r)
!
dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r)
!
dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r)
!
dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r)
!
dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r)
!
dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r)
!
!
! dN_dr
dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.)
!
dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.)
!
dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.)
!
dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.)
!
dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.)
!
dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.)
!
dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.)
!
dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.)
!
!
!
!
!
!
return
end subroutine C3D8_N_dN
!
!
!
!
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D10
subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D10 element
N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r)
!
N(2) = (2.*g - 1.)*g
!
N(3) = (2.*h - 1.)*h
!
N(4) = (2.*r - 1.)*r
!
N(5) = 4.*(1.-g-h-r)*g
!
N(6) = 4.*g*h
!
N(7) = 4.*(1.-g-h-r)*h
!
N(8) = 4.*(1.-g-h-r)*r
!
N(9) = 4.*g*r
!
N(10) = 4.*h*r
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D10 element
! dN_dg
dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.)
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.)
!
dN(1,6) = 4.*h
!
dN(1,7) = 4.*(-1.)*h
!
dN(1,8) = 4.*(-1.)*r
!
dN(1,9) = 4.*(1.)*r
!
dN(1,10) = 0.
!
!
!
!
! dN_dh
dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(2,2) = 0.
!
dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.)
!
dN(2,4) = 0.
!
dN(2,5) = 4.*(-1.)*g
!
dN(2,6) = 4.*g*(1.)
!
dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.)
!
dN(2,8) = 4.*(-1.)*r
!
dN(2,9) = 0.
!
dN(2,10) = 4.*(1.)*r
!
!
!
! dN_dr
dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.)
!
dN(3,5) = 4.*(-1.)*g
!
dN(3,6) = 0.
!
dN(3,7) = 4.*(-1.)*h
!
dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.)
!
dN(3,9) = 4.*g*(1.)
!
dN(3,10) = 4.*h*(1.)
!
!
!
!
!
!
!
return
end subroutine C3D10_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D15
subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D15 element
N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2))
!
N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2))
!
N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2))
!
N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2))
!
N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2))
!
N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2))
!
N(7) = 2.*(1.-g-h)*g*(1.-r)
!
N(8) = 2.*g*h*(1.-r)
!
N(9) = 2.*h*(1.-g-h)*(1.-r)
!
N(10) = 2.*(1.-g-h)*g*(1.+r)
!
N(11) = 2.*g*h*(1.+r)
!
N(12) = 2.*h*(1.-g-h)*(1.+r)
!
N(13) = (1.-g-h)*(1.-r**2)
!
N(14) = g*(1.-r**2)
!
N(15) = h*(1.-r**2)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D15 element
! dN_dg
dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2.
!
dN(1,3) = 0.
!
dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2.
!
dN(1,6) = 0.
!
dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.)
!
dN(1,8) = -2.*h*(r - 1.)
!
dN(1,9) = 2.*h*(r - 1.)
!
dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.)
!
dN(1,11) = 2.*h*(r + 1.)
!
dN(1,12) = -2.*h*(r + 1.)
!
dN(1,13) = r**2 - 1.
!
dN(1,14) = 1. - r**2
!
dN(1,15) = 0.
!
!
!
! dN_dh
dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(2,2) = 0.
!
dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2.
!
dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(2,5) = 0.
!
dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2.
!
dN(2,7) = 2.*g*(r - 1.)
!
dN(2,8) = -2.*g*(r - 1.)
!
dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.)
!
dN(2,10) = -2.*g*(r + 1.)
!
dN(2,11) = 2.*g*(r + 1.)
!
dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.)
!
dN(2,13) = r**2 - 1.
!
dN(2,14) = 0.
!
dN(2,15) = 1. - r**2
!
!
!
! dN_dr
dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2.
!
dN(3,2) = (g*(2.*r - 2.*g + 1.))/2.
!
dN(3,3) = (h*(2.*r - 2.*h + 1.))/2.
!
dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2.
!
dN(3,5) = (g*(2.*g + 2.*r - 1.))/2.
!
dN(3,6) = (h*(2.*h + 2.*r - 1.))/2.
!
dN(3,7) = g*(2.*g + 2.*h - 2.)
!
dN(3,8) = -2.*g*h
!
dN(3,9) = 2.*h*(g + h - 1.)
!
dN(3,10) = -g*(2.*g + 2.*h - 2.)
!
dN(3,11) = 2.*g*h
!
dN(3,12) = -2.*h*(g + h - 1.)
!
dN(3,13) = 2.*r*(g + h - 1.)
!
dN(3,14) = -2.*g*r
!
dN(3,15) = -2.*h*r
!
!
!
!
!
!
!
!
return
end subroutine C3D15_N_dN
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D20
subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D20 element
N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.)
!
N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.)
!
N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.)
!
N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.)
!
N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.)
!
N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.)
!
N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.)
!
N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.)
!
N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.)
!
N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.)
!
N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.)
!
N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D20 element
! dN_dg
dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (h - 1.)*(r - 1.)*(g + h + r + 2.)/8.
!
dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (h - 1.)*(r - 1.)*(h - g + r + 2.)/8.
!
dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g + h - r - 2.)/8.
!
dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g - h + r + 2.)/8.
!
dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g + h - r + 2.)/8.
!
dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g - h + r - 2.)/8.
!
dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g + h + r - 2.)/8.
!
dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g - h - r + 2.)/8.
!
dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) -
+ (g + 1.)*(h - 1.)*(r - 1.)/4.
!
dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.)
dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.)
!
dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
!
!
! dN_dh
dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.)
!
dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.)
!
dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.)
!
dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.)
!
dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.)
!
dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.)
!
dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.)
!
dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) -
+ (g - 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.)
dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
!
!
! dN_dr
dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.)
!
dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.)
!
dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.)
!
dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.)
!
dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.)
!
dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.)
!
dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.)
!
dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) -
+ (g - 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
!
!
!
!
!
!
!
return
end subroutine C3D20_N_dN
!
!
!
!
!
!
!
!
!
!
end module meshprop
================================================
FILE: Example - Residual deformation/slip.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slip
implicit none
contains
!
!
subroutine sinhslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,
+ dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
use errors, only: error
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
! variables used within this subroutine
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
real(8) :: abstau, signtau
!
!
!
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
!
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
!
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
!
Pmat=0.; Lp = 0.; Dp = 0.
! Loop through slip systems
do is = 1,nslip
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
! Outer multipler "alpha" calculation:
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
! THESE CHECKS SHALL BE PLACED TO INITIALIZATION!
!! Check for zero activation volume
! if (AV == 0.) then
! call error(8)
! end if
!
!
!
!
! Inner multiplier "beta" calculation:
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
!
beta = AV/KB/T
!
!
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! Correction by C. Hardie - 26.05.2022
! This correction needs to be done if activation volume
! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then!
if (AV0 /= 0.0) then
! Corrected by A. Pechero - 23.02.2023
! same burgers magnitude for 1st-12th slip systems
! changes only if slip system is greater than 12th
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
end if
!
! This is critical threshold
if (abstau >= tauc(is)) then
!
! slip rate
gammadot(is) = alpha*
+ sinh(beta*(abstau-tauc(is)))*signtau
!
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau-tauc(is)))
!
!
dgammadot_dtauc(is) = -alpha*beta*
+ cosh(beta*(abstau-tauc(is)))*signtau
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
!
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
!
end if
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine sinhslip
!
!
!
!
!
!
!
!
!
!
! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal
! plasticity finite-element models on the simulation of nickel alloys,
! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951
!
subroutine doubleexpslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB, smallnum
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! RSS/CRSS ratio
ratio=abstau/tauc(is)
!
! Avoid negative values before elevating to power q
if (ratio >= 1.0) then
!
gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature))
!
! Standard case
elseif (ratio /= 0.) then
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
! Strain rate due to thermally activated glide (rate dependent plasticity)
gammadot(is) = signtau*gammadot0*
+ exp(-(DeltaF/KB/T)*((1.-(ratio**p))**q))
!
if (abs(gammadot(is)) > smallnum) then
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**(p-1.))
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) )
dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q
+ *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**p)*signtau
!
else
gammadot(is)=0.
end if
!
!
endif
!
!
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine doubleexpslip
!
!
!
!
!
!
!
!
!
!
!
!
subroutine powerslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! Variables used within this subroutine
integer :: is, i, j
real(8) :: gammadot0, power_n, constant_n, slope_n, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
ratio = abstau / tauc(is)
!
!
gammadot(is) = gammadot0*ratio**power_n*signtau
!
!
!
dgammadot_dtau(is) = gammadot0*power_n
+ /tauc(is)*ratio**(power_n-1.0)
!
!
dgammadot_dtauc(is) = -gammadot0*power_n
+ /tauc(is)*ratio**(power_n)*signtau
!
!
Pmat = Pmat +
+ dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:)
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
end subroutine powerslip
!
!
!
!
!
!
!
!
end module slip
================================================
FILE: Example - Residual deformation/slipreverse.f
================================================
! Oct. 6th, 2023
! Chris Hardie
! Reverse Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slipreverse
implicit none
contains
!
!
!
!
subroutine doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Pmat,absgammadot,gammadot,
+ dtau_dgammadot,dgammadot_dtau)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Absolute value of slip
real(8), intent(in) :: absgammadot(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! slip rates
real(8), intent(in) :: gammadot(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! Value of RSS
real(8), intent(inout) :: tau(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! absolute value of RSS
real(8), intent(out) :: abstau(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
! RSS/CRSS ratio
xx=abstau(is)/tauc(is)
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF
!
abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p),
+ tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) = (KB*T*tauc(is)/
+ (absgammadot(is)*DeltaF*q*p))*
+ (1-u**(1/q))**((1-p)/p)*u**((1-q)/q)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.)
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
!
return
end subroutine doubleexpslipreverse
!
!
!
!
subroutine powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot, gammadot,
+ dtau_dgammadot,
+ dgammadot_dtau, Pmat)
!
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! variables used within this subroutine
real(8) :: gammadot0, constant_n, slope_n, power_n
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
! This is critical threshold
if (((abstau(is) >= tauc(is)).OR.
+ (absgammadot(is) .GT. 1.0e-6))) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) =
+ (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1)
!
abstau(is)=
+ max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) =
+ (tauc(is)/power_n*gammadot0)*
+ (absgammadot(is)/gammadot0)**((1-power_n)/power_n)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
!
end do
!
!
return
end subroutine powerslipreverse
!
!
!
!
!
!
!
subroutine sinhslipreverse(
+ Schmid, SchmidxSchmid, signtau,
+ abstau,tau, X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot,gammadot,
+ dtau_dgammadot, dgammadot_dtau, Pmat)
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8) :: dgammadot_dtau(nslip)
! variables used within this subroutine
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
! Unit conversion factor for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
Pmat = 0.
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
!
! alpha calculation
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
!
!
! beta calculation
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
beta = AV/KB/T
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! same burgers magnitude for first 1-6 and 25-30
! change only 7-24
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
! This is critical threshold
if (((abstau(is) >= tauc(is))
+ .AND. (xtau_norm(is) .GT. 0.0))
+ .OR. (absgammadot(is) .GT. 1.0e-6)) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau(is)-tauc(is)))
abstau(is)=tauc(is)+
+ (1/beta)*asinh(absgammadot(is)/alpha)
!
tau(is)=abstau(is)*signtau(is)
!
!
dtau_dgammadot(is,is) = 1/(alpha*beta*
+ sqrt(absgammadot(is)**2*alpha**-2+1))
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
end do
!
!
return
end subroutine sinhslipreverse
!
!
!
!
end module slipreverse
================================================
FILE: Example - Residual deformation/straingradients.f
================================================
! Jan. 1st, 2023
! Eralp Demir
!
module straingradients
implicit none
!
contains
!
!
!
!
!
! GND model-1
! GND calculation using curl of (Fp) together with L2 approximation
! Cumulative (total) calculation of GNDs
! Shutting down non-active slip systems followed by singular value decompostion
! Proposed by Chris Hardie
subroutine gndmodel1
use userinputs, only : maxnslip,
+ gndhomogenization, gndthreshold
use globalvariables, only : numel, numdim, numpt, nnpel,
+ materialid, numslip_all, numscrew_all, screw_all,
+ slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip,
+ eijk, I3, statev_curvature, statev_Lambda, statev_gammasum,
+ statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t
use utilities, only: matvec9
implicit none
! Local variables
integer matid, nslip, nscrew
! Some variables are allotable since material type can vary hence
! the NUMBER OF SLIP SYSTEMS can alter within the mesh
real(8) :: burgerv(maxnslip)
real(8) :: gammasum(maxnslip)
integer :: screw(maxnslip)
real(8) :: slip2screw(maxnslip,maxnslip)
real(8) :: dirc_0(maxnslip,3)
real(8) :: trac_0(maxnslip,3)
!
real(8) :: dirs(maxnslip,3)
real(8) :: tras(maxnslip*2,3)
real(8) :: Bmat(maxnslip*2,9)
real(8) :: rhoGND(maxnslip*2)
real(8) :: drhoGND(maxnslip*2)
!
real(8) :: grad_invN(3,numpt), grad(3,3,3)
real(8) :: Lambda(3,3), sum, Lambda_vec(9)
real(8) :: kappa(3,3), kappa_vec(9), trace
!
real(8) :: Fp_ip(numpt,3,3)
real(8) :: gmatinv(3,3)
!
integer :: i, j, k, l
integer :: ie, ip, is
!
!
!
!
! Loop through the elements
do ie=1,numel
!
! Reset arrays
burgerv=0.; screw=0
dirc_0=0.; trac_0=0.
dirs=0.; tras=0.
slip2screw=0.
!
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw(1:nscrew) = screw_all(matid,1:nscrew)
!
! Slip to screw mapping
slip2screw(1:nscrew,1:nslip) =
+ slip2screw_all(matid,1:nscrew,1:nslip)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! undeformed slip direction
dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3)
!
! undeformed line direction
trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3)
!
!
! Store Fp for each IP
! Plastic part of the deformation gradient
Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3)
!
!
! Calculate the gradient of Fp
! Calculate the gradients using gradient operator
do ip = 1, numpt
!
!
! Reset arrays
Bmat=0.; rhoGND=0.; gammasum=0.
!
! Crystal to sample transformation matrix
gmatinv = statev_gmatinv_0(ie,ip,:,:)
!
!
! Slip rate per slip system
gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip)
!
!
do is = 1, nslip
! Transform slip directions to sample reference
dirs(is,:) = matmul(gmatinv, dirc_0(is,:))
!
! Transform line directions to sample reference
tras(is,:) = matmul(gmatinv, trac_0(is,:))
!
end do
!
!
! Calculate Bmatrix - using singular value decomposition
! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611.
call calculateBmatPINV(nslip,nscrew,
+ screw(1:nscrew), slip2screw(1:nscrew,1:nslip),
+ dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip),
+ gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9))
!
!
! Use gradients per integration point
if (gndhomogenization == 0) then
!
grad_invN = gradip2ip(ie,ip,:,:)
!
! Use the gradient at the element center
else
!
grad_invN = gradip2ip(ie,numpt+1,:,:)
!
end if
!
!
!
!
! grad(k,i,j) = Fp(i,j,k)
do k = 1,3
do j = 1,3
do i = 1,3
grad(k,i,j) =
+ dot_product(grad_invN(k,:),Fp_ip(:,i,j))
end do
end do
end do
!
!
! calculate curl
! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE
! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i)
! index "i" refers to the gradient direction
do k = 1,3
do l = 1,3
sum = 0.
do i = 1, 3
do j = 1, 3
sum = sum - eijk(i,j,k)*grad(i,l,j)
!! earlier version (no "-" sign)
! sum = sum + eijk(i,j,k)*grad(i,l,j)
end do
end do
Lambda(l,k) = sum
end do
end do
!
! Vectorize the incompatibility
call matvec9(Lambda,Lambda_vec)
!
!
! Assign the Incompatibility
statev_Lambda(ie,ip,:) = Lambda_vec
!
!
! Trace
trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3)
!
! Calculate curvature (negative transpose + trace term)
kappa = -transpose(Lambda) + I3 * trace / 2.
!
! Convert curvature to vector
call matvec9(kappa,kappa_vec)
!
!
! Assign curvature
statev_curvature(ie,ip,1:9) = kappa_vec(1:9)
!
!
!
!
! Reset arrays
rhoGND=0.; drhoGND=0.
!
! Compute the dislocation densities using L2 minimization
rhoGND(1:nslip+nscrew) =
+ matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec)
!
!
! Calculate the increment of GNDs
drhoGND(1:nslip+nscrew) =
+ rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew)
!
!
! Check for a threshold
do is = 1, nslip+nscrew
if (abs(drhoGND(is))nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
! L2 solution by KKT condition
! Assign zero initially
KKTmat = 0.
! Assign the identity part
do i = 1, nslip+nscrew
KKTmat(i,i)=2.
end do
!
! Assign A^T - upper right part
KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) =
+ transpose(Amat)
!
! Assign A - lower left part
KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) =
+ Amat
!
! Take the inverse
call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9)
!
! Set to zero if not invertible
if(any(BmatKKT /= BmatKKT)) then
! Set the outputs to zero initially
BmatKKT = 0.
! error message in .dat file
call error(10)
end if
!
!
!
!
!
!
return
end subroutine calculateBmatKKT
!
!
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv,
+ Bmat)
use utilities, only : nolapinverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: AmatAmatT(9,9)
real(8) :: invAmatAmatT(9,9)
real(8) :: s(3), l(3), b
integer :: i, j, is
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
!
!
!
!
! Other solution (former method)
! -----------------------------------------------
! This is preserved to check its validity
! Right pseudo inverse is used
! This is exactly the same as the inversion by singular value decomposition
! Compute the L2 coefficient
AmatAmatT = matmul(Amat,transpose(Amat))
!
! Take the inverse
call nolapinverse(AmatAmatT,invAmatAmatT,9)
!
!
! Compute Bmat
Bmat = matmul(transpose(Amat),invAmatAmatT)
!
! Set to zero if not invertible
if(any(Bmat /= Bmat)) then
! Set the outputs to zero initially
Bmat = 0.
! error message in .dat file
call error(10)
end if
!
!
!
return
end subroutine calculateBmat
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw,
+ dirs,tras,burgerv,gammadot,BmatPINV)
use userinputs, only: slipthreshold
use utilities, only: svdgeninverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip to screw mapping
real(8), dimension(nscrew,nslip), intent(in) :: slip2screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Cumulative slip per slip system
real(8), dimension(nslip), intent(in) :: gammadot
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: gdot_screw(nscrew)
! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew)
! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew)
real(8) :: s(3), l(3), b
integer :: i, j, is, err
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
end do
!
!
! Sum slip on each system sharing common screw types
gdot_screw= matmul(slip2screw,gammadot)
!
!
! Shut down the slip systems
! that have a cumulative slip
! less than 10^-10
! For edge type of dislocations
do is = 1, nslip
!
if (abs(gammadot(is)) cubicslipystem flag
! material-08: zirconium / hcp / phase-3
! material-09: berylium / hcp / phase-3 (not ready yet)
! material-10: alpha-uranium / alphauranium / phase-4
! material-11: copper / UKAEA / Vikram Phalke
! material-12: CuCrZr / UKAEA / Vikram Phalke
!
!
!
! **********************************************
! ** MATERIALPARAMETERS sets the material **
! ** constants for elasticity and plasticity **
! **********************************************
subroutine materialparam(imat,temperature,
+ iphase,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,rhofor_0,rhosub_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
use errors, only : error
use userinputs, only : maxnslip, maxnparam
implicit none
!
! material id
integer, intent(in) :: imat
!
!
! current temperature in Kelvins
real(8), intent(in) :: temperature
!
! phase id
! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium
integer, intent(out) :: iphase
!
! number of slip systems
integer, intent(out) :: nslip
!
! number of screw systems
integer, intent(out) :: nscrew
!
! c/a ratio for hcp crystals
real(8), intent(out) :: caratio
!
! cubic slip for fcc superalloys
integer, intent(out) :: cubicslip
!
! elastic stiffness matrix in the crystal reference frame
real(8), intent(out) :: Cc(6,6)
!
! shear modulus for Taylor's dislocation law
real(8), intent(out) :: G12
!
! Poisson's ratio
real(8), intent(out) :: v12
!
! geometric factor for obstacle strength
real(8), intent(out) :: gf
!
! thermal eigenstrain to model thermal expansion
real(8), intent(out) :: alphamat(3,3)
!
! burgers vectors
real(8), intent(out) :: burgerv(maxnslip)
!
! critical resolved shear stress of slip systems
real(8), intent(out) :: tauc_0(maxnslip)
!
! initial ssd dislocation density
real(8), intent(out) :: rho_0(maxnslip)
!
! initial forest dislocation density
real(8), intent(out) :: rhofor_0
!
! initial substructure dislocation density
real(8), intent(out) :: rhosub_0
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, intent(out) :: slipmodel
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: slipparam(maxnparam)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K]
!
!
! Creep model identifier
! 0: no creep
! 1: exponential creep law
! Default value is set to 0
integer, intent(out) :: creepmodel
! Creep parameters
! Array size adjustable
real(8), intent(out) :: creepparam(maxnparam)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Voce type hardening
! 2: Linear hardening
! 3: Kocks-Mecking hardening
! 4: Kocks-Mecking hardening with substructure
! Default value is set to 0
integer, intent(out) :: hardeningmodel
! Hardening parameters
! Array size adjustable
real(8), intent(out) :: hardeningparam(maxnparam)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, intent(out) :: irradiationmodel
! Irradiation model parameters
! Array size adjustable
real(8), intent(out) :: irradiationparam(maxnparam)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(out) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(out) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8), intent(out) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8), intent(out) :: hintmat2(maxnslip,maxnslip)
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: backstressparam(maxnparam)
!
! burgers vector scalars
real(8) :: burger1, burger2
!
! elastic constants scalars
real(8) :: e1, e2, e3, g13, v13
real(8) :: g23, v23, v21, v31, v32
!
! critical resolved shear stress
real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5
!
! thermal expansion coefficients
real(8) :: alpha1, alpha2, alpha3
!
! temperature in celsius
real(8) :: tcelsius
!
real(8) :: C11, C12, C44, cst
!
! local variable for identity martrix
real(8) :: kdelta(maxnslip,maxnslip), q1, q2
!
integer :: i, j, k, is, js
!
!
!
! Set potentially unassigned parameters to zero
! Slip parameters
slipparam = 0.
! Creep parameters
creepparam = 0.
! Hardening parameters
hardeningparam = 0.
! Irradiation parameters
irradiationparam = 0.
! Backstress parameters
backstressparam = 0.
!
!
! Interaction matrices
! Initially set all to zero
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
!
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
!
! Temperature in Celcius
tcelsius = temperature - 273.15
!
!
!
!
!
!
!
!
!
! select material type
select case(imat)
!
! custom material - bcc (i.e. ferrite)
! no temperature dependence
case(1)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy
slipparam(5) = 4.646312d-20
! nu0 - attempt frequency
slipparam(6) = 1.0d+11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! Activation volume (factor of Burgers vector^3)
slipparam(8) = 1.
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 60.
! xtauc1 = 45.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! custom material - fcc (i.e. copper)
! no temperature dependence
case(2)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 3
!
! copper
! Slip model parameters
slipparam(1) = 1.0d-3
! rate sensitivity exponent
! slipparam(2) = 83.333
slipparam(2) = 20.
!
!! Inverse slip test parameters
!! Slip model parameters
! slipparam(1) = 1.0d-9
!! rate sensitivity exponent
! slipparam(2) = 13.
!
!! steel
!! Slip model parameters
! slipparam(1) = 1.0d-3
!! rate sensitivity exponent
! slipparam(2) = 7.143
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
!! steel
! xtauc1 = 32.
!
! Copper
xtauc1 = 16.
!
!! Inverse slip test parameter
! xtauc1 = 32.
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
! Example elastic modulus values
! **********************************************************
!
! copper
! "Texture and Anisotropy",
! Cambridge University Press, 1998, page 300
! C11=168.0d3
! C12=121.4d3
! C44=75.4d3
!
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=166.1d3
! C12=199.0d3 wrong! correct value: 119.0d3
! C44=75.6d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=168.3d3
! C12=122.1d3
! C44=75.7d3
!
! aluminum
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=107.3d3
! C12=60.9d3
! C44=28.3d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=106.75d3
! C12=60.41d3
! C44=28.34d3
!
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=106.43d3
! C12=60.35d3
! C44=28.21d3
!
! steel-austenite
! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005
! page 1765, Eq. (37)
! C11=268.5d3
! C12=156.d3
! C44=136.d3
!
! steel
! C11=204.6d3
! C12=137.7d3
! C44=126.6d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 1
!
!! Kocks-Mecking hardening with substructure evolution
!! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!!
!! hardening model
! hardeningmodel = 4
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!! q - substructure
! hardeningparam(7) = 4.
!! f - substructure
! hardeningparam(8) = 20.
!! ksub - substructure
! hardeningparam(9) = 0.086
!
!
!! Inverse slip test parameter
! hardeningmodel = 0
!
!
! copper
! Hardening rate - h0
hardeningparam(1)=250.
! Saturation strength for slip - ss
hardeningparam(2)=190.
! Hardening exponent - a
hardeningparam(3)=2.5
! Latent hardening coefficient - q
hardeningparam(4)=1.4
!
!
!! steel
!! Hardening rate - h0
! hardeningparam(1)=217.8
!! Saturation strength for slip - ss
! hardeningparam(2)=257.
!! Hardening exponent - a
! hardeningparam(3)=2.5
!! Latent hardening coefficient - q
! hardeningparam(4)=1.1
!
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
!!
! Backstress parameter
backstressparam(1) = 0.25
!
! custom material - hcp (i.e. zirconium)
! no temperature dependence
case(3)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! fraction of mobile dislocations
slipparam(3) = 1.
! reference mobile dislocations (1/micrometer^2)
slipparam(4) = 0.01
! activation energy for slip (J)
slipparam(5) = 5.127d-20
! attempt frequency
slipparam(6) = 1.d11
! scaling for jump distance
slipparam(7) = 1.
! activation volume
slipparam(8) = 20.93
!
!
!
! Geometric factor (0.1-0.5)
gf = 0.22364
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 30
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 10.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 3.2d-4
burger2 = 6.0d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 98.32d3
e3 = 123.28d3
g12 = 32.01d3
v12 = 0.40
v13 = 0.24
!
! crss [MPa]
xtauc1 = 187.7 ! basal
xtauc2 = 140.8 ! prismatic
xtauc3 = 140.8 ! pyramidal
xtauc4 = 489.8 ! pyramidal-1
xtauc5 = 2449.1 ! pyramidal-2
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g13 = e3/(1.+v13)/2.
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:30) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc3
tauc_0(13:24) = xtauc4
tauc_0(25:30) = xtauc5
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
! linear hardening
hardeningmodel = 2
! hardening parameter (1/micrometer^2)
hardeningparam(1) = 2600.
!
! irradiation model
irradiationmodel = 2
! Irradiation parameters
! Number of different types of defects
irradiationparam(1) = 3.
! Number density of defects (1/micrometer^3)
irradiationparam(2:4) = 2.033d+4
! size of defects (micrometer)
irradiationparam(5:7) = 1.4d-3
! defect vectors (crystallographic directions)
irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /)
! Strength interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(11) = 1.25
! when a not equals 0
irradiationparam(12) = 1.875
! Hardening (Softening) interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(13) = 0.5
! when a not equals 0
irradiationparam(14) = 0.
!
!
!
!
!
! tungsten - bcc
case(4)
!
! Phase id
iphase = 1
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Burgers vectors [micrometers]
burger1 = 2.74d-4
!
! Slip model parameters
! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.0159
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy to overcome Pierls barrier
slipparam(5) = 3.524788e-20
! nu0 - attempt frequency
slipparam(6) = 1.0d11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! AV0
slipparam(8) = 0.
!
! Geometric factor (0.1-0.5)
gf = 0.1
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 4
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 360.0 ! 900 MPa in the reference
!
! elastic constants [MPa]
e1 = 421d3
g12 = 164.4d3
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 2
hardeningparam(1) = 1000.
!
! irradiation model
irradiationmodel = 1
! irradiation parameters
! initial strength
irradiationparam(1) = 750.
! solute strength saturation strain
irradiationparam(2) = 0.025
! factor for mobile density
irradiationparam(3) = 3.457d-2
!
!
!
!
! copper - fcc
case(5)
!
! Phase id
iphase = 2
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.02
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 6
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 20.0
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! Burgers vectors [micrometers]
burger1 = 2.55d-4
!
! elastic constants [MPa]
e1 = 66.69d3
v12 = 0.4189
g12 = 75.4d3
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! thermal expansion coefficients
alpha1 = 13.0d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
burgerv(1:nslip)=burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
!
! hardening model
hardeningmodel = 0
!
!
! irradiation model
irradiationmodel = 0
!
!
!
! carbide - fcc
case(6)
!
! Phase id
iphase = 2
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d-3
! Rate sensitivity exponent
slipparam(2) = 50
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 2300.0
!
! Burgers vectors [micrometers]
burger1 = 3.5072d-4
!
! elastic constants [MPa]
e1 = 207.0d4
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 4.5d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
! elastic constants based on crystal symmetry
e3 = e1
e2 = e1
v13 = v12
v23 = v12
g12 = e1/(2.0*(1.0+v12))
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
!
! CMSX-4 - fcc + cubic
case(7)
!
! Phase id
iphase = 2
!
! Slip model
! Double exponent law
slipmodel = 2
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d7
! Inner exponent
slipparam(2) = 0.78
! Outer exponent
slipparam(3) = 1.15
! Activation energy for octahedral slip (J)
slipparam(4) = 9.39d-19
! Activation energy for cubic slip (J)
slipparam(5) = 1.17d-18
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! Screw systems
nscrew = 6
!
!
!
! number of slip systems
if (cubicslip == 0) then
nslip = 12
elseif (cubicslip == 1) then
nslip = 18
else
call error(3)
end if
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! crss [MPa]
if (tcelsius <= 850.0) then ! temperature in celsius
!
tauc_0=-0.000000001051*tcelsius**4 +
+ 0.000001644382*tcelsius**3 -
+ 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius +
+ 446.547978926622
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.000000001077*tcelsius**4 +
+ 0.000001567820*tcelsius**3 -
+ 0.000686532147*tcelsius**2 -
+ 0.074981918833*tcelsius +
+ 571.706771689334
!
end if
!
else
!
tauc_0=-1.1707*tcelsius + 1478.9
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.9097*tcelsius + 1183
!
end if
!
end if ! end temperature check
!
! tcelsius dependent stiffness constants [MPa]
if (tcelsius <= 800.0) then ! celsius units
!
c11=-40.841*tcelsius+251300
c12=-14.269*tcelsius+160965
!
else
!
c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0
c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 -
+ 1537.5*tcelsius+716000
!
end if ! end temperature check
!
g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 -
+ 38.3179*tcelsius+129864
!
e1 = (c11-c12)*(c11+2*c12)/(c11+c12)
v12 = e1*c12/((c11-c12)*(c11+2*c12))
!
! temperature dependent thermal expansion coefficient
alpha1 = 9.119d-9*tcelsius +1.0975d-5
!
! Eralp: Burgers vector was not defined for this
burger1=2.56d-4
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 1
!
! hardening model
hardeningmodel = 0
!
! creep parameters
! reference rate for creep (1/s)
creepparam(1) = 4.0d+8
! stress multiplier for creep (1/MPa)
creepparam(2) = 3.2d-2
! activation energy for creep (J/mol)
creepparam(3) = 460000.
! reference rate for damage (1/s)
creepparam(4) = 6.0d6
! stress multiplier for damage (1/MPa)
creepparam(5) = -5.0d-8
! activation energy for damage (J/mol)
creepparam(6) = 340000.
!
! irradiation model
irradiationmodel = 0
!
!
! zirconium - hcp
case(8)
!
! Phase id
iphase = 3
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 15.2 ! basal
xtauc2 = 67.7 ! prismatic
xtauc4 = 2000.0 ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Material constants by Alvaro Martinez Pechero
! Berilyum - hcp
case(9)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 3
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 20.2 ! basal
xtauc2 = 88.7 ! prismatic
xtauc4 = 188. ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger1
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
! alpha-uranium - alphauranium
case(10)
!
! Phase id
iphase = 4
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! reference strain rate
slipparam(1) = 1.0d-3
! rate sensitivity exponent
slipparam(2) = 20.
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 8
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burgerv(1:2) = 2.85d-4
burgerv(3:4) = 6.51d-4
burgerv(5:8) = 11.85d-4
!
! constant factor tau_0^alpha for crss [MPa]
! calhoun 2013 values
! with temperature dependence as in zecevic 2016
! added after hardening is included
tauc_0(1) = 24.5
tauc_0(2) = 85.5
tauc_0(3) = 166.5
tauc_0(4) = 166.5
tauc_0(5) = 235.0
tauc_0(6) = 235.0
tauc_0(7) = 235.0
tauc_0(8) = 235.0
!
!
!
! elastic moduli [MPa] and poissons ratios
! see prs literature review by philip earp
! short crack propagation in uranium, an anisotropic polycrystalline metal
! temperature dependence according to daniel 1971
e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0))
e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0))
e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0))
v12 = 0.242363
v13 = -0.016293
v23 = 0.387816
g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0))
g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0))
g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0))
!
! define thermal expansion coefficients as a function of temperature
! lloyd, barrett, 1966
! thermal expansion of alpha uranium
! journal of nuclear materials 18 (1966) 55-59
alpha1 = 24.22d-6 - 9.83d-9 * temperature +
+ 46.02d-12 * temperature * temperature
alpha2 = 3.07d-6 + 3.47d-9 * temperature -
+ 38.45d-12 * temperature * temperature
alpha3 = 8.72d-6 + 37.04d-9 * temperature +
+ 9.08d-12 * temperature * temperature
!
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
! UKAEA - Vikram Phalke
! copper - fcc
! no temperature dependence
case(11)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! Copper
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 5
!
!
!
!
!
! copper
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! UKAEA - Vikram Phalke
! CuCrZr - fcc
! no temperature dependence
case(12)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density [1/micrometer^2]
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! CuCrZr
xtauc1 = 84.6
!
!
! Burgers vectors [micrometer]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model (KM with precipitates)
hardeningmodel = 5
!
!
!
!
!
! CuCrZr
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
! Parameters related to precipitate strengthening
! Geometric/Strength factor for precipitates
hardeningparam(5)=0.08
! Number density of precipitates [1/micrometer^3]
hardeningparam(6)=1.76d6
! Particle diameter [micrometer]
hardeningparam(7)=3.2d-3
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! EUROFER steel material model - bcc (i.e. ferrite)
! Developed by Yunzhou Bai
!
case(13)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.01
! constant beta
slipparam(2) = 0.01
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 6
! k1 - hardening parameter
hardeningparam(1) = 1.d-3
! k2 - softening parameter
hardeningparam(2) = 20.
! D - lath spacing (micrometers)
hardeningparam(3) = 1.
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
case default
!
call error(1)
!
end select
!
! *** set up elastic stiffness matrix in lattice system ***
! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11
! however, the voigt notation in abaqus for strain and stress vectors
! has the following order:
! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23)
! Calculate the remaining Poisson's ratios
v21 = e2/e1*v12
v31 = e3/e1*v13
v32 = e3/e2*v23
!
! constant as a factor
cst = 1./(1.-v12*v21-v23*v32-v31*v13
+ -2.*v21*v32*v13)
!
Cc=0.
Cc(1,1) = e1*(1.-v23*v32)*cst
Cc(2,2) = e2*(1.-v13*v31)*cst
Cc(3,3) = e3*(1.-v12*v21)*cst
Cc(1,2) = e1*(v21+v31*v23)*cst
Cc(1,3) = e1*(v31+v21*v32)*cst
Cc(2,3) = e2*(v32+v12*v31)*cst
Cc(4,4) = g12
Cc(5,5) = g13
Cc(6,6) = g23
!
! symmetrize compliance matrix
Cc(2,1) = Cc(1,2)
Cc(3,1) = Cc(1,3)
Cc(3,2) = Cc(2,3)
!
!
!
! define thermal eigenstrain in the lattice system
alphamat=0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
!
!
return
!
end subroutine materialparam
!
!
!
!
!
end module usermaterials
================================================
FILE: Example - Residual deformation/useroutputs.f
================================================
! Nov. 11th, 2022
! Eralp Demir
!
! This is written to define the outputs for post-processing
!
module useroutputs
implicit none
!
!
! GLOBAL VARIABLES USED IN POST-PROCESSING
! -------------------------------------------------------------------------------
!
! Flags for different outputs (22-30 custom outputs)
integer, public :: statev_outputs(30)
!
! Set the desired outputs by setting 0 / 1
! in the "defineoutputs" subroutine in the below!
!
!
!
! Number of outputs - will be computed
integer, public :: nstatv_outputs
!
!
! -------------------------------------------------------------------------------
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine defineoutputs
!
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
! Variables used in the subroutine
integer :: i, ind
!
!
! List of variables
! Set the flag to "1" if requested
!
! 1st State-variable output / number of outputs: 9
! Crystal to Sample tranformation: statev_gmatinv
statev_outputs(1) = 0
!
! 2nd State-variable output / number of outputs: 1
! Equivalent Von-Mises plastic total strain: statev_evmp
statev_outputs(2) = 0
!
! 3rd State-variable output / number of outputs: 1
! Maximum ratio of rss to crss: statev_maxx
statev_outputs(3) = 0
!
! 4th State-variable output / number of outputs: 6
! Elastic strains in the crystal frame: statev_Eec
statev_outputs(4) = 0
!
! 5th State-variable output / number of outputs: 9
! Lattice curvature: statev_curvature
statev_outputs(5) = 0
!
! 6th State-variable output / number of outputs: 1
! Total statistically-stored dislocation density: statev_ssdtot
statev_outputs(6) = 0
!
! 7th State-variable output / number of outputs: 1
! Substructure dislocation density: statev_substructure
statev_outputs(7) = 0
!
! 8th State-variable output / number of outputs: 1
! Solute strength: statev_tausolute
statev_outputs(8) = 0
!
! 9th State-variable output / number of outputs: 1
! Cumulative slip: statev_totgammasum
statev_outputs(9) = 0
!
! 10th State-variable output / number of outputs: maxnslip
! Total slip per slip system: statev_gammasum
statev_outputs(10) = 1
!
! 11th State-variable output / number of outputs: maxnslip
! Slip rate: statev_gammadot
statev_outputs(11) = 0
!
! 12nd State-variable output / number of outputs: maxnslip
! Critical Resolved Shear Stress: statev_tauc
statev_outputs(12) = 0
!
! 13rd State-variable output / number of outputs: maxnslip
! Statistically-Stored Dislocation Density: statev_ssd
statev_outputs(13) = 0
!
! 14th State-variable output / number of outputs: maxnslip*2
! Geometrically Necessary Dislocation Density: statev_gnd
statev_outputs(14) = 0
!
! 15th State-variable output / number of outputs: maxnslip
! Foresty Dislocation Density: statev_forest
statev_outputs(15) = 0
!
! 16th State-variable output / number of outputs: maxnloop
! Defect Loop Density: statev_loop
statev_outputs(16) = 0
!
! 17th State-variable output / number of outputs: maxnslip
! Backstress: statev_backstress
statev_outputs(17) = 0
!
! 18th State-variable output / number of outputs: 1
! Total GND density
statev_outputs(18) = 0
!
! 19th State-variable output / number of outputs: 1
! Plastic dissipation power density
statev_outputs(19) = 0
!
! 20st State-variable output / number of outputs: 1
! Fatemi Socie parameter
statev_outputs(20) = 0
!
! 21-30 custom outputs
! Need to be defined here!
statev_outputs(21) = 0
statev_outputs(22) = 0
statev_outputs(23) = 0
statev_outputs(24) = 0
statev_outputs(25) = 0
statev_outputs(26) = 0
statev_outputs(27) = 0
statev_outputs(28) = 0
statev_outputs(29) = 0
statev_outputs(30) = 0
!
!
!
!
!
!
!
! Count the user-defined outputs
nstatv_outputs=0
! Find the total number of state variable outputs
if (statev_outputs(1)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(2)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(3)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(4)==1) then
nstatv_outputs=nstatv_outputs+6
endif
if (statev_outputs(5)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(6)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(7)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(8)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(9)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(10)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(11)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(12)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(13)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(14)==1) then
nstatv_outputs=nstatv_outputs+maxnslip*2
endif
if (statev_outputs(15)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(16)==1) then
nstatv_outputs=nstatv_outputs+maxnloop
endif
if (statev_outputs(17)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(18)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(19)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(20)==1) then
nstatv_outputs=nstatv_outputs+1
endif
!
!
! Custom outputs need to be filled here!
!
!
!
!
!
end subroutine defineoutputs
!
!
!
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine checkoutputs(nstatv)
use errors, only: error
implicit none
! Number of state variables
integer, intent(in) :: nstatv
!
! Check if defined correctly
if (nstatv_outputs > nstatv) then
write(*,*) 'There are ',
+ nstatv_outputs, ' number of outputs!'
write(*,*) 'But, ',
+ nstatv, ' number of outputs were defined in DEPVAR!'
! error message in .dat file
call error(6)
end if
!
end subroutine checkoutputs
!
!
!
!
!
!
!
subroutine write_statev_legend
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
integer count, i
character*2 ij
!
! Write the legend of the output variables (nstatv)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maximum ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: cumulative slip (x1)
! 10: total slip per slip system (x maxnslip)
! 11: slip rates per slip system (x maxnslip)
! 12: CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: GND density (x1)
! 19: Plastic dissipation power density (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
!
!
!
!
count = 0
open(100,file='../STATEV_legend.txt',action='write',
+ status='replace')
!
!
!
!
!
!
!
! State variable-1
if (statev_outputs(1) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A37,A2,A4)')
+ 'STATEV-', count,
+ ': Crystal to Sample transformation -', ij, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-2
if (statev_outputs(2) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A39,A4)')
+ 'STATEV-', count,
+ ': Equivalent Von-Mises plastic strain', ' [-]'
!
!
!
!
endif
!
!
! State variable-3
if (statev_outputs(3) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A32,A4)')
+ 'STATEV-', count,
+ ': Maximum ratio of rss to crss', ' [-]'
!
!
!
!
endif
!
!
!
! State variable-4
if (statev_outputs(4) == 1) then
!
do i = 1, 6
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'yy'
case(3)
ij = 'zz'
case(4)
ij = 'xy'
case(5)
ij = 'xz'
case(6)
ij = 'yz'
!
end select
!
!
!
write(100,'(A7,I3,A36,A2,A6)')
+ 'STATEV-', count,
+ ': Elastic strain in crystal frame-', ij, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
!
! State variable-5
if (statev_outputs(5) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A21,A2,A15)')
+ 'STATEV-', count,
+ ': Lattice curvature', ij, ' [1/micrometer]'
!
end do
!
!
endif
!
!
!
!
!
!
!
!
!
! State variable-6
if (statev_outputs(6) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': total SSD density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
!
! State variable-7
if (statev_outputs(7) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A24,A17)')
+ 'STATEV-', count,
+ ': substructure density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-8
if (statev_outputs(8) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A19,A6)')
+ 'STATEV-', count,
+ ': solute strength', ' [MPa]'
!
!
!
!
endif
!
!
! State variable-9
if (statev_outputs(9) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A19,A4)')
+ 'STATEV-', count,
+ ': cumulative slip', ' [-]'
!
!
!
!
endif
!
!
!
!
! State variable-10
if (statev_outputs(10) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A4)')
+ 'STATEV-', count,
+ ': Total slip on slip system-', i, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-11
if (statev_outputs(11) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A29,I2,A6)')
+ 'STATEV-', count,
+ ': Slip rate of slip system-', i, ' [1/s]'
!
end do
!
!
endif
!
!
! State variable-12
if (statev_outputs(12) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A24,I2,A6)')
+ 'STATEV-', count,
+ ': CRSS on slip system-', i, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
! State variable-13
if (statev_outputs(13) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': SSD density of slip system-', i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
!
!
! State variable-14
if (statev_outputs(14) == 1) then
!
do i = 1, maxnslip*2
!
count = count + 1
!
! Edge dislocation
if (i <= maxnslip) then
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Edge dislocation density-', i, ' [1/micrometer^2]'
!
else
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]'
!
end if
!
!
end do
!
!
endif
!
!
! State variable-15
if (statev_outputs(15) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Forest dislocation density of slip system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-16
if (statev_outputs(16) == 1) then
!
do i = 1, maxnloop
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Loop dislocation density of defect system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-17
if (statev_outputs(17) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A6)')
+ 'STATEV-', count,
+ ': Backstress on slip system-',
+ i, ' [MPa]'
!
end do
!
!
endif
!
! State variable-18
if (statev_outputs(18) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': Total GND density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-19
if (statev_outputs(19) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A37,A5)')
+ 'STATEV-', count,
+ ': Plastic dissipation power density', ' [nW]'
!
!
!
!
endif
!
! State variable-20
if (statev_outputs(20) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A26,A4)')
+ 'STATEV-', count,
+ ': Fatemi Socie parameter', ' [-]'
!
!
!
!
endif
!
close(100)
!
!
!
!
!
!
return
end subroutine write_statev_legend
!
!
!
!
!
!
!
subroutine assignoutputs(noel,npt,nstatv,statev)
use globalvariables, only: statev_gmatinv,
+ statev_evmp, statev_maxx, statev_Eec,
+ statev_curvature, statev_backstress_t,
+ statev_ssdtot, statev_substructure,
+ statev_tausolute, statev_totgammasum,
+ statev_gammasum, statev_gammadot,
+ statev_tauceff, statev_ssd, statev_loop, statev_gnd_t,
+ statev_forest, statev_plasdiss
use userinputs, only: maxnslip, maxnloop
use utilities, only: matvec9
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of state variables
integer, intent(in) :: nstatv
! Values of state variables
real(8), intent(inout) :: statev(nstatv)
! Other variables
integer :: i, j
real(8) :: d6(6), d9(9), d1
real(8) :: gnd(maxnslip*2)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maxium ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: Cumulative slip (x1)
! 10: Total slip per slip system (x maxnslip)
! 11: Slip rates per slip system (x maxnslip)
! 12: Effective CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop density (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: Total GND density (x1)
! 19: Plastic dissipation (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
! Reset the counter
i=0
!
! State variable-1
! Transformation matrix from crystal to sample (x9)
if (statev_outputs(1)==1) then
!
!
!
call matvec9(statev_gmatinv(noel,npt,:,:),d9)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
end if
!
!
!
! State variable-2
! Equivalent Von-Mises plastic strain (x1)
if (statev_outputs(2)==1) then
!
i = i + 1
statev(i) = statev_evmp(noel,npt)
!
end if
!
!
! State variable-3
! Maxium ratio of rss to crss (x1)
if (statev_outputs(3)==1) then
!
i = i + 1
statev(i) = statev_maxx(noel,npt)
!
end if
!
!
! State variable-4
! Elastic strain in crystal frame (x6)
if (statev_outputs(4)==1) then
!
!
do j = 1, 6
i = i + 1
statev(i) = statev_Eec(noel,npt,j)
end do
!
!
end if
!
!
! State variable-5
! Lattice curvature (x9)
if (statev_outputs(5)==1) then
!
d9 = statev_curvature(noel,npt,:)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
!
end if
!
!
! State variable-6
! SSD total (x1)
if (statev_outputs(6)==1) then
!
i = i + 1
statev(i) = statev_ssdtot(noel,npt)
!
end if
!
!
!
! State variable-7
! Substructure density (x1)
if (statev_outputs(7)==1) then
!
i = i + 1
statev(i) = statev_substructure(noel,npt)
!
end if
!
!
! State variable-8
! Solute strength (x1)
if (statev_outputs(8)==1) then
!
i = i + 1
statev(i) = statev_tausolute(noel,npt)
!
end if
!
!
! State variable-9
! Cumulative slip (x1)
if (statev_outputs(9)==1) then
!
i = i + 1
statev(i) = statev_totgammasum(noel,npt)
!
end if
!
!
! State variable-10
! Total slip per slip system (x maxnslip)
if (statev_outputs(10)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammasum(noel,npt,j)
end do
!
end if
!
!
! State variable-11
! Slip rates per slip system (x maxnslip)
if (statev_outputs(11)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammadot(noel,npt,j)
end do
!
end if
!
! State variable-12
! CRSS (x maxnslip)
if (statev_outputs(12)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_tauceff(noel,npt,j)
end do
!
end if
!
!
! State variable-13
! SSD (x maxnslip)
if (statev_outputs(13)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_ssd(noel,npt,j)
end do
!
end if
!
!
! State variable-14
! GND (x maxnslip)
if (statev_outputs(14)==1) then
!
do j = 1, maxnslip*2
i = i + 1
statev(i) = statev_gnd_t(noel,npt,j)
end do
!
end if
!
!
! State variable-15
! Forest density (x maxnslip)
if (statev_outputs(15)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_forest(noel,npt,j)
end do
!
end if
!
! State variable-16
! Loop density (x maxnloop)
if (statev_outputs(16)==1) then
!
do j = 1, maxnloop
i = i + 1
statev(i) = statev_loop(noel,npt,j)
end do
!
end if
!
!
! State variable-17
! Backstress (x maxnslip)
if (statev_outputs(17)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_backstress_t(noel,npt,j)
end do
!
end if
!
! State variable-18
! GND total (x1)
if (statev_outputs(18)==1) then
!
i = i + 1
gnd = statev_gnd_t(noel,npt,1:2*maxnslip)
statev(i) = sqrt(sum(gnd*gnd))
!
end if
!
! State variable-19
! Plastic dissipation power density (x1)
if (statev_outputs(19)==1) then
!
i = i + 1
statev(i) = statev_plasdiss(noel,npt)
!
end if
!
! State variable-20
! Fatemi Socie parameter (x1)
if (statev_outputs(20)==1) then
!
i = i + 1
call FatemiSocie_parameter(noel,npt,d1)
statev(i) = d1
!
end if
!
!
! Custom state variables 21-30
! Please add custom outputs here!
!
!
!
!
return
end subroutine assignoutputs
!
!
!!
!
!
!
! Subroutine to calculate Fatemi Socie parameter
subroutine FatemiSocie_parameter(noel,npt,FSp)
use userinputs, only: maxnslip
use globalvariables, only: statev_sigma, statev_gammasum,
+ statev_gmatinv, statev_tauceff, materialid, norc_0_all,
+ numslip_all
use utilities, only: vecmat6
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: FSp
! Variables used in the subroutine
real(8) :: sig6(6), sig3x3(3,3)
real(8) :: gammasum(maxnslip)
real(8) :: gmatinv(3,3)
real(8) :: tauceff(maxnslip), tauceffmax
integer :: matid
real(8) :: norc(3), nors(3)
real(8) :: shmax, sigmax, k
integer :: ismax, is, i, j, nslip
!
! Input parameter "k"
! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003
k = 0.5
!
!
FSp=0.
sig6 = statev_sigma(noel,npt,:)
gammasum = statev_gammasum(noel,npt,:)
gmatinv = statev_gmatinv(noel,npt,:,:)
tauceff = statev_tauceff(noel,npt,:)
matid = materialid(noel,npt)
if (matid.ne.0) then
nslip = numslip_all(matid)
!
!
! Find maximum slip
shmax=0.; ismax=0
do is=1,nslip
if (abs(gammasum(is)).gt.shmax) then
shmax = abs(gammasum(is))
ismax = is
end if
end do
!
! If there is no maximum or zero slip
if (ismax.eq.0) then
!
FSp=0.
!
! If there some slip on any system
else
! Maximum CRSS
tauceffmax = tauceff(ismax)
!
! Slip plane normal of maximum slip
norc = norc_0_all(matid,ismax,:)
!
! Transform to sample reference
nors = matmul(gmatinv,norc)
!
! Convert stress to 3x3 matrix
call vecmat6(sig6,sig3x3)
!
! Project stress to the slip plane of maximum slip
sigmax = 0.
do i = 1, 3
do j = 1, 3
sigmax = sigmax +
+ nors(i)*sig3x3(i,j)*nors(j)
end do
end do
!
! Check for zero tauceffmax
if (tauceffmax.gt.0.) then
! Parameter calculation
FSp = shmax/2.*(1.+k*sigmax/tauceffmax)
else
FSp = 0.
end if
!
end if
else
FSp = 0.
end if
!
return
end subroutine FatemiSocie_parameter
!
!
!
end module useroutputs
================================================
FILE: Example - Residual deformation/utilities.f
================================================
! *************************************************
! *************************************************
! * UTILITY SUBROUTINES *
! *************************************************
! *************************************************
! Updated on Sept 23rd, 2022
! Reorganized by Eralp Demir
! Converged into a module file
! Function trace is written as a subroutine
!
!
module utilities
implicit none
contains
!
!
! *************************************************
! * TRACE OF A 3X3 MATRIX *
! *************************************************
subroutine trace3x3(a,aii)
implicit none
real(8), intent(in) :: a(3,3)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)+a(3,3)
!
return
end subroutine trace3x3
!
!
!
! *************************************************
! * TRACE OF A2X2 MATRIX *
! *************************************************
subroutine trace2x2(a,aii)
implicit none
real(8), intent(in) :: a(2,2)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)
!
return
end subroutine trace2x2
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine vecmat9(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(9)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
dmout(1,1) = dvin(1)
dmout(1,2) = dvin(2)
dmout(1,3) = dvin(3)
!
dmout(2,1) = dvin(4)
dmout(2,2) = dvin(5)
dmout(2,3) = dvin(6)
!
dmout(3,1) = dvin(7)
dmout(3,2) = dvin(8)
dmout(3,3) = dvin(9)
!
return
end subroutine vecmat9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine matvec9(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(9)
integer :: i
!
dvout(1) = dmin(1,1)
dvout(2) = dmin(1,2)
dvout(3) = dmin(1,3)
!
dvout(4) = dmin(2,1)
dvout(5) = dmin(2,2)
dvout(6) = dmin(2,3)
!
dvout(7) = dmin(3,1)
dvout(8) = dmin(3,2)
dvout(9) = dmin(3,3)
!
return
end subroutine matvec9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! *************************************************
subroutine matvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = (dmin(1,2)+dmin(2,1))/2.
dvout(5) = (dmin(1,3)+dmin(3,1))/2.
dvout(6) = (dmin(2,3)+dmin(3,2))/2.
!
return
end subroutine matvec6
!
!
! *************************************************
! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX *
! *************************************************
!
subroutine vecmat6(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(6)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
do i=1,3
dmout(i,i) = dvin(i)
end do
!
dmout(1,2) = dvin(4)
dmout(2,1) = dvin(4)
dmout(1,3) = dvin(5)
dmout(3,1) = dvin(5)
dmout(3,2) = dvin(6)
dmout(2,3) = dvin(6)
!
return
end subroutine vecmat6
!
!
! *************************************************
! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
! *************************************************
subroutine vecprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2)
dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3)
dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1)
!
return
end subroutine vecprod
!
!
! *************************************************
! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 *
! *************************************************
subroutine dotprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3)
dvout = abs(dvout)
!
return
end subroutine dotprod
!
!
! ****************************************************
! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! ****************************************************
! Off-diagonal terms are doubled!
! This is valid for shear conversion only!
subroutine gmatvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = dmin(1,2)+dmin(2,1)
dvout(5) = dmin(3,1)+dmin(1,3)
dvout(6) = dmin(2,3)+dmin(3,2)
!
return
end subroutine gmatvec6
!
! *************************************************
! * INVERSE OF A MATRIX WITH LAPACK *
! *************************************************
! Checked inverse against python's numpy.linalg.inv
subroutine lapinverse(xmatin,m,info,xmatout)
implicit none
!
integer,intent(in) :: m
real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:)
!
integer,parameter :: lwork = 64
real(8),parameter :: zero=1.0d-12
integer :: i,j
!
integer,intent(out) :: info
real(8),intent(out) :: xmatout(m,m)
integer :: ipiv(m)
real(8) :: a(m,m)
real(8) :: work(lwork)
!
!
! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6
!
! EXTERNAL DGETRI, DGETRF
!
!
!
xmatout = 0.
! ED: I have added to run this
! The next line shall be removed
info=1
!
a = xmatin !don't input array xmatin
!
! call DGETRF( m, m, a, m, ipiv, info )
!
if(info == 0) then
! call DGETRI( m, a, m, ipiv, work, lwork, info )
!write(*,*) "work(1) == min lwork needed", work(1)
else
xmatout = 0.
! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse"
end if
!
do i=1,m;
do j=1,m;
if (abs(a(i,j))<= zero) a(i,j) = 0.
end do
end do
xmatout = a
!
!
!
!
return
end subroutine lapinverse
!
!
!
!
! ****************************************************
! * INVERSE OF A MATRIX WITHOUT LAPACK *
! ****************************************************
!
subroutine nolapinverse(ain,c,n)
! ============================================================
! Inverse matrix
! Method: Based on Doolittle LU factorization for Ax=b
! Alex G. December 2009
! -----------------------------------------------------------
! input ...
! a(n,n) - array of coefficients for matrix A
! n - dimension
! output ...
! c(n,n) - inverse matrix of A
!
! ===========================================================
implicit none
!
integer, intent(in) :: n
real(8), intent(out) :: c(n,n)
real(8), intent(in) :: ain(n,n)
real(8) :: L(n,n), U(n,n), b(n), d(n), x(n)
real(8) :: coeff, a(n,n)
integer :: i, j, k
!
! step 0: initialization for matrices L and U and b
! Fortran 90/95 allows such operations on matrices
L=0.
U=0.
b=0.
a=ain
!
! step 1: forward elimination
do k=1,n-1
do i=k+1,n
coeff=a(i,k)/a(k,k)
L(i,k) = coeff
do j=k+1,n
a(i,j) = a(i,j)-coeff*a(k,j)
end do
end do
end do
!
! Step 2: prepare L and U matrices
! L matrix is a matrix of the elimination coefficient
! + the diagonal elements are 1.0
do i=1,n
L(i,i) = 1.0
end do
! U matrix is the upper triangular part of A
do j=1,n
do i=1,j
U(i,j) = a(i,j)
end do
end do
!
! Step 3: compute columns of the inverse matrix C
do k=1,n
b(k)=1.0
d(1) = b(1)
! Step 3a: Solve Ld=b using the forward substitution
do i=2,n
d(i)=b(i)
do j=1,i-1
d(i) = d(i) - L(i,j)*d(j)
end do
end do
! Step 3b: Solve Ux=d using the back substitution
x(n)=d(n)/U(n,n)
do i = n-1,1,-1
x(i) = d(i)
do j=n,i+1,-1
x(i)=x(i)-U(i,j)*x(j)
end do
x(i) = x(i)/u(i,i)
end do
! Step 3c: fill the solutions x(n) into column k of C
do i=1,n
c(i,k) = x(i)
end do
b(k)=0.0
end do
!
end subroutine nolapinverse
!
!
!
!
!
! *************************************************
! * SUBROUTINE MATRIX SQUARE ROOT *
! *************************************************
!
subroutine msqrt(a,b)
implicit none
real(8), intent(inout) :: a(3,3)
real(8), intent(out) :: b(3,3)
integer :: i
real(8) :: diag(3,3), q(3,3), d(3),
+ qtrans(3,3), res(3,3)
!
!
diag=0.; b=0.; q=0.;res=0.;d=0.
!
call jacobi(a,3,d,q)
call eigsrt(d,q,3)
!
do i=1,3
if (d(i) .ge. 0) then
diag(i,i)=sqrt(d(i))
else
write (6,*) 'the matrix is not positive definite'
end if
end do
!
res = matmul(q,diag)
b = matmul(res,transpose(q))
!
return
end subroutine msqrt
!
!
!
! *************************************************
! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS*
! *************************************************
!
subroutine jacobi(a,n,d,v)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: a(n,n)
real(8), intent(out) :: d(n), v(n,n)
!
integer, parameter :: nmax=500
integer :: i, j, ip, iq, nrot
real(8) :: b(nmax), z(nmax), dial(n,n),
+ sm, tresh, g, h, t, theta, c, s, ta
!
!
do ip=1,n
do iq=1,n
v(ip,iq)=0.
end do
v(ip,ip)=1.
end do
!
do ip=1,n
b(ip)=a(ip,ip)
d(ip)=b(ip)
z(ip)=0.
end do
!
nrot=0
do i=1,50
sm=0.
do ip=1,n-1
do iq=ip+1,n
sm=sm+abs(a(ip,iq))
end do
end do
!
if (sm .eq. 0.) return
if (i .lt. 4) then
tresh=0.2*sm/n**2
else
tresh=0.
end if
!
do ip=1,n-1
do iq=ip+1,n
g=100.*abs(a(ip,iq))
if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip)))
+ .and. (abs(d(ip))+g .eq. abs(d(iq)))) then
a(ip,iq)=0.
else if (abs(a(ip,iq)) .gt. tresh) then
h=d(iq)-d(ip)
if (abs(h)+g .eq. abs(h)) then
t=a(ip,iq)/h
else
theta=0.5*h/a(ip,iq)
t=1./(abs(theta)+sqrt(1.+theta**2))
if (theta .lt. 0) t=-t
end if
c=1./sqrt(1.+t**2)
s=t*c
ta=s/(1.+c)
h=t*a(ip,iq)
z(ip)=z(ip)-h
z(iq)=z(iq)+h
d(ip)=d(ip)-h
d(iq)=d(iq)+h
a(ip,iq)=0.
!
do j=1,ip-1
g=a(j,ip)
h=a(j,iq)
a(j,ip)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=ip+1,iq-1
g=a(ip,j)
h=a(j,iq)
a(ip,j)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=iq+1,n
g=a(ip,j)
h=a(iq,j)
a(ip,j)=g-s*(h+g*ta)
a(iq,j)=h+s*(g-h*ta)
end do
!
do j=1,n
g=v(j,ip)
h=v(j,iq)
v(j,ip)=g-s*(h+g*ta)
v(j,iq)=h+s*(g-h*ta)
end do
!
nrot=nrot+1
end if
end do
end do
!
do ip=1,n
b(ip)=b(ip)+z(ip)
d(ip)=b(ip)
z(ip)=0.
end do
end do
!
!
return
end subroutine jacobi
!
!
! *************************************************
! * SUBROUTINE SORT EIGENVALUES *
! *************************************************
!
subroutine eigsrt(d,v,n)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: d(n)
real(8), intent(inout) :: v(n,n)
!
integer :: i, j, k
real(8) :: p
!
do i=1,n-1
k=i
p=d(i)
do j=i+1,n
if(d(j).ge.p)then
k=j
p=d(j)
endif
end do
if(k.ne.i)then
d(k)=d(i)
d(i)=p
do j=1,n
p=v(j,i)
v(j,i)=v(j,k)
v(j,k)=p
end do
endif
end do
!
return
end subroutine eigsrt
!
!
! *************************************************
! * THE DETERMINANT OF A 3X3 MATRIX *
! *************************************************
subroutine deter3x3(dmin,d)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: d
!
d = 0.
d = dmin(1,1)*dmin(2,2)*dmin(3,3) +
+ dmin(1,2)*dmin(2,3)*dmin(3,1) +
+ dmin(2,1)*dmin(3,2)*dmin(1,3) -
+ dmin(1,3)*dmin(2,2)*dmin(3,1) -
+ dmin(1,1)*dmin(2,3)*dmin(3,2) -
+ dmin(1,2)*dmin(2,1)*dmin(3,3)
!
return
end subroutine deter3x3
!
!
! *************************************************
! * THE DETERMINANT OF A 2X2 MATRIX *
! *************************************************
subroutine deter2x2(dmin,d)
implicit none
real(8), intent(in) :: dmin(2,2)
real(8), intent(out) :: d
!
d=0.
d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1)
!
return
end subroutine deter2x2
!
! *************************************************
! * Build 4th order rotation matrix (tsigma) *
! *************************************************
! valid for rotating symmetric tensors
subroutine rotord4sig(xrot,tsigma)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tsigma(6,6)
!
tsigma(1,1) = xrot(1,1)*xrot(1,1)
tsigma(1,2) = xrot(1,2)*xrot(1,2)
tsigma(1,3) = xrot(1,3)*xrot(1,3)
tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2)
tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3)
tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1)
!
tsigma(2,1) = xrot(2,1)*xrot(2,1)
tsigma(2,2) = xrot(2,2)*xrot(2,2)
tsigma(2,3) = xrot(2,3)*xrot(2,3)
tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2)
tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3)
tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1)
!
tsigma(3,1) = xrot(3,1)*xrot(3,1)
tsigma(3,2) = xrot(3,2)*xrot(3,2)
tsigma(3,3) = xrot(3,3)*xrot(3,3)
tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2)
tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3)
tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1)
!
tsigma(4,1) = xrot(1,1)*xrot(2,1)
tsigma(4,2) = xrot(1,2)*xrot(2,2)
tsigma(4,3) = xrot(1,3)*xrot(2,3)
tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tsigma(6,1) = xrot(2,1)*xrot(3,1)
tsigma(6,2) = xrot(2,2)*xrot(3,2)
tsigma(6,3) = xrot(2,3)*xrot(3,3)
tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tsigma(5,1) = xrot(3,1)*xrot(1,1)
tsigma(5,2) = xrot(3,2)*xrot(1,2)
tsigma(5,3) = xrot(3,3)*xrot(1,3)
tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4sig
!
!
! *************************************************
! * Build 4th order rotation matrix (tstran) *
! *************************************************
! valid for symmetric tensors
subroutine rotord4str(xrot,tstran)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tstran(6,6)
!
tstran(1,1) = xrot(1,1)*xrot(1,1)
tstran(1,2) = xrot(1,2)*xrot(1,2)
tstran(1,3) = xrot(1,3)*xrot(1,3)
tstran(1,4) = xrot(1,1)*xrot(1,2)
tstran(1,6) = xrot(1,2)*xrot(1,3)
tstran(1,5) = xrot(1,3)*xrot(1,1)
!
tstran(2,1) = xrot(2,1)*xrot(2,1)
tstran(2,2) = xrot(2,2)*xrot(2,2)
tstran(2,3) = xrot(2,3)*xrot(2,3)
tstran(2,4) = xrot(2,1)*xrot(2,2)
tstran(2,6) = xrot(2,2)*xrot(2,3)
tstran(2,5) = xrot(2,3)*xrot(2,1)
!
tstran(3,1) = xrot(3,1)*xrot(3,1)
tstran(3,2) = xrot(3,2)*xrot(3,2)
tstran(3,3) = xrot(3,3)*xrot(3,3)
tstran(3,4) = xrot(3,1)*xrot(3,2)
tstran(3,6) = xrot(3,2)*xrot(3,3)
tstran(3,5) = xrot(3,3)*xrot(3,1)
!
tstran(4,1) = 2.*xrot(1,1)*xrot(2,1)
tstran(4,2) = 2.*xrot(1,2)*xrot(2,2)
tstran(4,3) = 2.*xrot(1,3)*xrot(2,3)
tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tstran(6,1) = 2.*xrot(2,1)*xrot(3,1)
tstran(6,2) = 2.*xrot(2,2)*xrot(3,2)
tstran(6,3) = 2.*xrot(2,3)*xrot(3,3)
tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tstran(5,1) = 2.*xrot(3,1)*xrot(1,1)
tstran(5,2) = 2.*xrot(3,2)*xrot(1,2)
tstran(5,3) = 2.*xrot(3,3)*xrot(1,3)
tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4str
!
!
! ***************************************************************
! * Build 4th order lower (and upper) tensor product *
! * NB: When contracted from 4th to the format used for *
! * C-matrix, it turns out that the upper and lower products *
! * are the same! *
! ***************************************************************
! valid for symmetric tensors
subroutine ltprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,2)*b(1,2)
c(1,3) = 2.*a(1,3)*b(1,3)
c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1)
c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1)
c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,3)*b(2,3)
c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1)
c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1)
c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1)
c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1)
c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1)
c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1)
c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2)
!
c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1)
c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine ltprod
!
!
! **************************************************
! * Build 4th order tensor product (kronecker)*
! **************************************************
! valid for symmetric tensors
subroutine tprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,1)*b(2,2)
c(1,3) = 2.*a(1,1)*b(3,3)
c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1)
c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1)
c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,2)*b(3,3)
c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1)
c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1)
c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1)
c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1)
c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1)
c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1)
c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2)
!
c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1)
c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine tprod
!
!
!
! **************************************
! * MULTIPLY 3x3 MATRICES *
! **************************************
subroutine mmult(dm1,dm2,dm)
implicit none
real(8), intent(in) :: dm1(3,3), dm2(3,3)
real(8), intent(out) :: dm(3,3)
integer :: i, j, k
real(8) :: x
!
!
do i=1,3
do j=1,3
x=0.0
do k=1,3
x=x+dm1(i,k)*dm2(k,j)
end do
dm(i,j)=x
end do
end do
!
return
end subroutine mmult
!
!
! This subroutine inverts a 3x3 matrix
! INPUT: Matrix --- A(3,3)
! OUTPUT: Invereted matrix, determinant --- invA(3,3),det
subroutine inv3x3(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(3,3)
real(8), intent(out) :: invA(3,3), det
integer :: i,j
!
!
! First calculate the determinant
call deter3x3(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det
invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det
invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det
invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det
invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det
invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det
invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det
invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det
invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det
endif
return
end subroutine inv3x3
!
!
! This subroutine inverts a 2x2 matrix
! INPUT: Matrix --- A(2,2)
! OUTPUT: Invereted matrix, determinant --- invA(2,2),det
subroutine inv2x2(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(2,2)
real(8), intent(out) :: invA(2,2), det
integer :: i,j
!
!
! First calculate the determinant
call deter2x2(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1) = A(2,2)/det
invA(1,2) =-A(1,2)/det
invA(2,1) =-A(2,1)/det
invA(2,2) = A(1,1)/det
endif
return
end subroutine inv2x2
!
! Euler angles to crystal orientation matrix
! INPUT: Angles(deg) --- ang(3)
! OUTPUT: Orientation matrix --- R(3,3)
! USES: Number pi --- pi
subroutine Euler2ori(Euler,R)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: R(3,3)
real(8) :: phi1, phi2, Phi
!
! convert to radians
phi1=Euler(1)*pi/180.
Phi=Euler(2)*pi/180.
phi2=Euler(3)*pi/180.
!
!
R=0.
R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi))
R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi))
R(3,1)=sin(phi1)*sin(Phi)
R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi))
R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi))
R(3,2)=-cos(phi1)*sin(Phi)
R(1,3)=sin(phi2)*sin(Phi)
R(2,3)=cos(phi2)*sin(Phi)
R(3,3)=cos(Phi)
!
return
end subroutine Euler2ori
!
!
! Orientation matrix from Euler angles
! INPUT: Orientation matrix --- R(3)
! OUTPUT: Bunge angles(deg) --- ang(3)
! USES: Number pi --- pi
subroutine ori2Euler(R,Euler)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: R(3,3)
real(8), intent(out) :: Euler(3)
real(8) :: phi1, phi2, Phi
!
if (R(3,3).eq.1.) then
Phi=0.
phi1=atan2(R(1,2),R(1,1))
phi2=0.
else
Phi=acos(R(3,3))
phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi))
phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi))
endif
Euler(1)=phi1
Euler(2)=Phi
Euler(3)=phi2
! convert to degrees
Euler=Euler*180./pi
!
return
end subroutine ori2Euler
!
!
! This subroutine calculates inverse of a square matrix
! by singular value decomposition
subroutine SVDinverse(A,n,invA,err)
use globalvariables, only: smallnum
implicit none
integer n
real(8), intent(in) :: A(n,n)
real(8), intent(out) :: invA(n,n)
integer, intent(out) :: err
! local variables
real(8) :: w(n), V(n,n), U(n,n)
real(8) :: invS(n,n), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,n,n,n,w,V,err)
!
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
!
invS = 0.
do i = 1, n
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
! Corrected by Alvaro
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDinverse
!
!
! Generalized inverse by singular value decomposition
! Written by Alvaro Martinez 08-03-2023
!
subroutine SVDgeninverse(A,n,m,invA,err)
use globalvariables, only: smallnum
implicit none
integer, intent(in) :: n
integer, intent(in) :: m
real(8), intent(in) :: A(n,m)
real(8), intent(out) :: invA(m,n)
integer, intent(out) :: err
! local variables
real(8) :: w(m), V(m,m), U(n,m)
real(8) :: invS(m,m), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,m,n,m,w,V,err)
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
invS = 0.
do i = 1, m
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
!
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDgeninverse
!
!
!
! Codes for singular value decomposition
! Numerical Recipies in F77
! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf
!
! SVDcmp subroutine
! Given a matrix (1:m,1:n) with physical dimensions mp by np,
! this routine computes its singular value decomposition,
! A = U W VT. The matrix U replaces A on output. The diagonal
! matrix of singular values W is output as a vector w(1:n)
! The matrix V (not the transpose VT) is the output as V(1:n,1:n)
!
subroutine svdcmp(A,m,n,mp,np,w,V,err)
use errors, only: error
implicit none
integer, intent(in) :: m,mp,n,np
real(8), intent(inout) :: A(mp,np)
real(8), intent(out) :: V(np,np), w(np)
integer, intent(out) :: err
integer, parameter :: nmax=1000
! uses pythag
integer i,its,j,jj,k,l,nm
real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt
! initialize error flag
err=0
!
g=0.0
scale=0.0
anorm=0.0
do 25 i=1,n
l=i+1
rv1(i)=scale*g
g=0.0
s=0.0
scale=0.0
if(i.le.m)then
do 11 k=i,m
scale=scale+abs(A(k,i))
11 continue
if(scale.ne.0.0)then
do 12 k=i,m
A(k,i)=A(k,i)/scale
s=s+A(k,i)*A(k,i)
12 continue
f=A(i,i)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,i)=f-g
do 15 j=l,n
s=0.0
do 13 k=i,m
s=s+A(k,i)*A(k,j)
13 continue
f=s/h
do 14 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
14 continue
15 continue
do 16 k=i,m
A(k,i)=scale*A(k,i)
16 continue
endif
endif
w(i)=scale *g
g=0.0
s=0.0
scale=0.0
if((i.le.m).and.(i.ne.n))then
do 17 k=l,n
scale=scale+abs(A(i,k))
17 continue
if(scale.ne.0.0)then
do 18 k=l,n
A(i,k)=A(i,k)/scale
s=s+A(i,k)*A(i,k)
18 continue
f=A(i,l)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,l)=f-g
do 19 k=l,n
rv1(k)=A(i,k)/h
19 continue
do 23 j=l,m
s=0.0
do 21 k=l,n
s=s+A(j,k)*A(i,k)
21 continue
do 22 k=l,n
A(j,k)=A(j,k)+s*rv1(k)
22 continue
23 continue
do 24 k=l,n
A(i,k)=scale*A(i,k)
24 continue
endif
endif
anorm=max(anorm,(abs(w(i))+abs(rv1(i))))
25 continue
do 32 i=n,1,-1
if(i.lt.n)then
if(g.ne.0.0)then
do 26 j=l,n
V(j,i)=(A(i,j)/A(i,l))/g
26 continue
do 29 j=l,n
s=0.0
do 27 k=l,n
s=s+A(i,k)*V(k,j)
27 continue
do 28 k=l,n
V(k,j)=V(k,j)+s*V(k,i)
28 continue
29 continue
endif
do 31 j=l,n
V(i,j)=0.0
V(j,i)=0.0
31 continue
endif
V(i,i)=1.0
g=rv1(i)
l=i
32 continue
do 39 i=min(m,n),1,-1
l=i+1
g=w(i)
do 33 j=l,n
A(i,j)=0.0
33 continue
if(g.ne.0.0)then
g=1.0/g
do 36 j=l,n
s=0.0
do 34 k=l,m
s=s+A(k,i)*A(k,j)
34 continue
f=(s/A(i,i))*g
do 35 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
35 continue
36 continue
do 37 j=i,m
A(j,i)=A(j,i)*g
37 continue
else
do 38 j= i,m
A(j,i)=0.0
38 continue
endif
A(i,i)=A(i,i)+1.0
39 continue
do 49 k=n,1,-1
do 48 its=1,30
do 41 l=k,1,-1
nm=l-1
if((abs(rv1(l))+anorm).eq.anorm) goto 2
if((abs(w(nm))+anorm).eq.anorm) goto 1
41 continue
1 c=0.0
s=1.0
do 43 i=l,k
f=s*rv1(i)
rv1(i)=c*rv1(i)
if((abs(f)+anorm).eq.anorm) goto 2
g=w(i)
call pythag(f,g,h)
w(i)=h
h=1.0/h
c= (g*h)
s=-(f*h)
do 42 j=1,m
y=A(j,nm)
z=A(j,i)
A(j,nm)=(y*c)+(z*s)
A(j,i)=-(y*s)+(z*c)
42 continue
43 continue
2 z=w(k)
if(l.eq.k)then
if(z.lt.0.0)then
w(k)=-z
do 44 j=1,n
V(j,k)=-V(j,k)
44 continue
endif
goto 3
endif
if(its.eq.30) then !pause 'no convergence in svdcmp'
err=1
endif
x=w(l)
nm=k-1
y=w(nm)
g=rv1(nm)
h=rv1(k)
f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y)
call pythag(f,1.0d+0,g)
f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x
c=1.0
s=1.0
do 47 j=l,nm
i=j+1
g=rv1(i)
y=w(i)
h=s*g
g=c*g
call pythag(f,h,z)
rv1(j)=z
c=f/z
s=h/z
f= (x*c)+(g*s)
g=-(x*s)+(g*c)
h=y*s
y=y*c
do 45 jj=1,n
x=V(jj,j)
z=V(jj,i)
V(jj,j)= (x*c)+(z*s)
V(jj,i)=-(x*s)+(z*c)
45 continue
call pythag(f,h,z)
w(j)=z
if(z.ne.0.0)then
z=1.0/z
c=f*z
s=h*z
endif
f= (c*g)+(s*y)
x=-(s*g)+(c*y)
do 46 jj=1,m
y=A(jj,j)
z=A(jj,i)
A(jj,j)= (y*c)+(z*s)
A(jj,i)=-(y*s)+(z*c)
46 continue
47 continue
rv1(l)=0.0
rv1(k)=f
w(k)=x
48 continue
3 continue
49 continue
return
end subroutine svdcmp
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
!
!
subroutine pythag(a,b,pyt)
implicit none
real(8), intent(in):: a,b
real(8), intent(out):: pyt
real(8) absa,absb
absa=abs(a)
absb=abs(b)
if(absa.gt.absb)then
pyt=absa*sqrt(1.+(absb/absa)**2)
else
if(absb.eq.0.)then
pyt=0.
else
pyt=absb*sqrt(1.+(absa/absb)**2)
endif
endif
return
end subroutine pythag
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
end module utilities
================================================
FILE: Example - Single crystal with material vox file/Job-1.inp
================================================
*Heading
** Job name: Job-1 Model name: Job-1
** Generated by: Abaqus/CAE 2021
*Preprint, echo=NO, model=NO, history=NO, contact=NO
**
** PARTS
**
*Part, name=PART-1
*Node
1, 1000., 1., 1000.
2, 1000., -499., 1000.
3, 1000., -999., 1000.
4, 1000., 1., 500.
5, 1000., -499., 500.
6, 1000., -999., 500.
7, 1000., 1., 0.
8, 1000., -499., 0.
9, 1000., -999., 0.
10, 500., 1., 1000.
11, 500., -499., 1000.
12, 500., -999., 1000.
13, 500., 1., 500.
14, 500., -499., 500.
15, 500., -999., 500.
16, 500., 1., 0.
17, 500., -499., 0.
18, 500., -999., 0.
19, 0., 1., 1000.
20, 0., -499., 1000.
21, 0., -999., 1000.
22, 0., 1., 500.
23, 0., -499., 500.
24, 0., -999., 500.
25, 0., 1., 0.
26, 0., -499., 0.
27, 0., -999., 0.
*Element, type=C3D8
1, 10, 11, 14, 13, 1, 2, 5, 4
2, 11, 12, 15, 14, 2, 3, 6, 5
3, 13, 14, 17, 16, 4, 5, 8, 7
4, 14, 15, 18, 17, 5, 6, 9, 8
5, 19, 20, 23, 22, 10, 11, 14, 13
6, 20, 21, 24, 23, 11, 12, 15, 14
7, 22, 23, 26, 25, 13, 14, 17, 16
8, 23, 24, 27, 26, 14, 15, 18, 17
*Nset, nset=_PICKEDSET2, internal, generate
1, 27, 1
*Elset, elset=_PICKEDSET2, internal, generate
1, 8, 1
** Section: Section-1-_PICKEDSET2
*Solid Section, elset=_PICKEDSET2, material=MATERIAL-1
,
*End Part
**
**
** ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=PART-1-1, part=PART-1
*End Instance
**
*Nset, nset=_PICKEDSET4, internal, instance=PART-1-1, generate
19, 27, 1
*Elset, elset=_PICKEDSET4, internal, instance=PART-1-1, generate
5, 8, 1
*Nset, nset=_PICKEDSET5, internal, instance=PART-1-1, generate
3, 27, 3
*Elset, elset=_PICKEDSET5, internal, instance=PART-1-1, generate
2, 8, 2
*Nset, nset=_PICKEDSET6, internal, instance=PART-1-1
7, 8, 9, 16, 17, 18, 25, 26, 27
*Elset, elset=_PICKEDSET6, internal, instance=PART-1-1
3, 4, 7, 8
*Nset, nset=_PICKEDSET7, internal, instance=PART-1-1, generate
1, 9, 1
*Elset, elset=_PICKEDSET7, internal, instance=PART-1-1, generate
1, 4, 1
*End Assembly
**
** MATERIALS
**
*Material, name=MATERIAL-1
*Depvar
12,
*User Material, constants=6
45.,0.,0.,1.,2.,0.
** ----------------------------------------------------------------
**
** STEP: Step-1
**
*Step, name=Step-1, nlgeom=YES, inc=1000
*Static
0.01, 1., 1e-05, 1.
**
** BOUNDARY CONDITIONS
**
** Name: Disp-BC-1 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PICKEDSET4, XSYMM
** Name: Disp-BC-2 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PICKEDSET5, YSYMM
** Name: Disp-BC-3 Type: Symmetry/Antisymmetry/Encastre
*Boundary
_PICKEDSET6, ZSYMM
** Name: Disp-BC-4 Type: Displacement/Rotation
*Boundary
_PICKEDSET7, 1, 1, 500.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field
*Node Output
CF, RF, U
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
LE, PE, PEEQ, PEMAG, S, SDV
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
*End Step
================================================
FILE: Example - Single crystal with material vox file/OXFORD-UMAT.f
================================================
!
! Nov., 01st, 2022 - 1st working version
! Apr., 25th, 2024 - Release v2.17
!
! Crystal Plasticity UMAT
! University of Oxford
! Eralp Demir
!
! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA
!
! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli
! Originally based on the UEL by Fionn Dunne 2007
! Deformation twinning is not included
!
! Major changes:
! - Initialization routines for computational efficiency
! - Reverse slip formulation by C. Hardie
! - Option for implicit state update
! - Multiple materials with different phases can co-exist in a mesh
! - Modular code for flexible constitutive model development
! - GND calculations:
! o Restricted solution to the active slip systems
! o Option for element center homogenization
! o Different 2D/3D element types for GND calculation
! - 2D plane stress/strain problems
!
include "userinputs.f"
include "globalvariables.f"
include "irradiation.f"
include "errors.f"
include "utilities.f"
include "meshprop.f"
include "usermaterials.f"
include "useroutputs.f"
include "crss.f"
include "initializations.f"
include "slip.f"
include "slipreverse.f"
include "creep.f"
include "innerloop.f"
include "hardening.f"
include "backstress.f"
include "cpsolver.f"
include "straingradients.f"
!
!
!
SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC)
! Subroutine for initialization
use initializations, only : initialize_variables,
+ initialize_once
use userinputs, only : gndmodel, backstressmodel
use globalvariables, only: numel, numpt,
+ init_once, statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum,
+ statev_gammadot_t, statev_gammadot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_forest_t, statev_forest,
+ statev_substructure_t, statev_substructure, statev_evmp_t,
+ statev_evmp, statev_totgammasum_t, statev_totgammasum,
+ statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop,
+ statev_Lambda_t, statev_Lambda, statev_sigma_t2,
+ statev_tausolute_t, statev_tausolute, time_old, dt_t,
+ statev_backstress, statev_backstress_t,
+ statev_plasdiss, statev_plasdiss_t,
+ ip_count, calculategradient, ip_init, grad_init
!
use straingradients, only: gndmodel1, gndmodel2,
+ gndmodel3, gndmodel4
use backstress, only: backstressmodel2
use meshprop, only: initialize_gradientoperators
use useroutputs, only: write_statev_legend
!
implicit none
!
!
!
INTEGER, INTENT(IN) ::
+ LOP,
+ LRESTART,
+ KSTEP,
+ KINC
REAL(8), DIMENSION(1), INTENT(IN) ::
+ DTIME
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME
!
!
integer :: i
!
!
!
! at the start of the analysis (only ONCE!)
! if there are initializations/calculations that are needed once,
! and that are independepent of element properties, you may use here.
if (LOP==0) then
!
! 0. Initialize variables (instead of using data statements)
call initialize_variables
!
!
end if
!
! Initialization of gradient operators
! Check if the element has more than one integration point
! And the gradient initialization was done before or not
if ((calculategradient==1).and.(grad_init==0)) then
!
! Check if IP coordinates were collected
if ((sum(ip_init)==numel*numpt).and.
+ (numel>0).and.(numpt>0)) then
!
!
! Calculate the gradient mapping for each element once.
call initialize_gradientoperators
!
grad_init=1
write(*,*) '7. Gradient operators initialized!'
!
endif
!
end if
!
!
!
!
!
if (LOP==1) then
!
!
! in case of force BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
end if
!
!
!
!
!
end if
!
!
end if
!
!
!
! at the end of each increment
if (LOP==2) then
!
!
! in case of displacement BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '6. "STATEV_legend.txt" file is ready!'
!
!
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
!
end if
!
!
!
!
!
!
end if
!
!
!
write(*,*) '--------------------------------'
!
write(*,*) 'At the end of increment: ', KINC
!
!
!
!
!
! GND calculations
! do this only if the initiliazation complete and
! element gradients are calculatable (calculategradient==1)
if ((init_once==1).and.(grad_init==1).and.
+ (calculategradient==1).and.(KINC>1)) then
!
! update and calculate GNDs (nonlocal calculations)
! this is done at the end of calculations.
! GNDs that belong to the PREVIOUS time step are used.
! initially GNDs are assumed to have "0" values.
!
! calculate GNDs (if initialization complete)
if (gndmodel>0) then
!
! curl followed by L2 minimization - SVD -
! constrained to active slip systems
if (gndmodel==1) then
!
call gndmodel1
!
! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD
! constrained to active slip systems (same as model-1)
elseif (gndmodel==2) then
!
call gndmodel2
!
! rate form followed by direct projections
elseif (gndmodel==3) then
!
call gndmodel3(DTIME(1))
!
! slip gradients
elseif (gndmodel==4) then
!
call gndmodel4(DTIME(1))
!
!
endif
!
!
write(*,*) 'GNDs are computed!'
!
!
if (backstressmodel==2) then
!
call backstressmodel2
!
write(*,*) 'Backstresses are computed!'
!
end if
!
end if
!
end if
!
! update the time
time_old = time(2)
! store former converged time increment
dt_t = DTIME(1)
!
!
! update state variables
! assign the current results to the former values
statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:)
statev_evmp_t(:,:) = statev_evmp(:,:)
statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:)
statev_totgammasum_t(:,:) = statev_totgammasum(:,:)
statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:)
statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:)
statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:)
statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:)
statev_sigma_t(:,:,:) = statev_sigma(:,:,:)
statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:)
statev_tauc_t(:,:,:) = statev_tauc(:,:,:)
statev_maxx_t(:,:) = statev_maxx(:,:)
statev_Eec_t(:,:,:) = statev_Eec(:,:,:)
statev_gnd_t(:,:,:) = statev_gnd(:,:,:)
statev_ssd_t(:,:,:) = statev_ssd(:,:,:)
statev_ssdtot_t(:,:) = statev_ssdtot(:,:)
statev_forest_t(:,:,:) = statev_forest(:,:,:)
statev_loop_t(:,:,:) = statev_loop(:,:,:)
statev_substructure_t(:,:) = statev_substructure(:,:)
statev_tausolute_t(:,:) = statev_tausolute(:,:)
statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:)
statev_backstress_t(:,:,:) = statev_backstress(:,:,:)
statev_plasdiss_t(:,:) = statev_plasdiss(:,:)
!
write(*,*) 'States are updated!'
!
write(*,*) '--------------------------------'
!
!
endif
!
!
!
RETURN
END
!
!
!
!
!
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
1 RPL,DDSDDT,DRPLDE,DRPLDT,
2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
!
use userinputs, only: cutback, pastefront
use globalvariables, only: numel, numpt, numtens,
+ largenum, ip_init, init_once, ip_count
use initializations, only: initialize_atfirstinc
use cpsolver, only: solve
implicit none
!
!
INTEGER, INTENT(IN) ::
+ NDI, ! Number of direct stress components at this point
+ NSHR, ! Number of engineering shear stress components
+ NTENS, ! Size of the stress / strain components (NDI + NSHR)
+ NSTATV, ! Number of solution-dependent state variables
+ NPROPS, ! User-defined number of material constants
+ NOEL, ! Element number
+ NPT, ! Integration point number
+ LAYER, ! Layer number (shell elements etc.)
+ KSPT, ! Section point within the current layer
+ KINC ! Increment number (time increment)
INTEGER, DIMENSION(4), INTENT(IN) ::
+ JSTEP ! Step number (load step)
CHARACTER(LEN=80), INTENT(IN) ::
+ CMNAME ! Usee-specified material name, left justified
REAL(8), INTENT(IN) ::
+ DTIME, ! Time increment
+ TEMP, ! Temperature at the start of the increment
+ DTEMP, ! Increment of temperature
+ CELENT ! Temperature
REAL(8), DIMENSION(1), INTENT(IN) ::
+ PREDEF,
+ DPRED
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME ! Step time/total time at begin, of the current inc.
REAL(8), DIMENSION(3), INTENT(IN) ::
+ COORDS
REAL(8), DIMENSION(NTENS), INTENT(IN) ::
+ STRAN, ! Total strains at beginning of the increment
+ DSTRAN ! Strain increments
REAL(8), DIMENSION(NPROPS), INTENT(IN) ::
+ PROPS
REAL(8), DIMENSION(3,3), INTENT(IN) ::
+ DROT, ! Rotation increment matrix
+ DFGRD0, ! Deformation gradient at the former time increment
+ DFGRD1 ! Deformation gradient at the current time increment
REAL(8), INTENT(INOUT) ::
+ PNEWDT, ! Ratio of suggested new time increment to current time increment
+ SSE, ! Specific elastic strain engergy
+ SPD, ! Specific plastic dissipation
+ SCD, ! Specific creep dissipation
+ RPL, ! Volumetric heat generation
+ DRPLDT ! Variation of RPL with respect to the temperature
REAL(8), DIMENSION(NTENS), INTENT(INOUT) ::
+ STRESS ! Cauchy stress vector at the current time increment
REAL(8), DIMENSION(NSTATV), INTENT(INOUT) ::
+ STATEV ! Solution-dependent state variables
REAL(8), DIMENSION(NTENS), INTENT(OUT) ::
+ DDSDDT, ! Variation of the stress increments with respect to the temperature
+ DRPLDE ! Variation of RPL with respect to the strain increments
REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) ::
+ DDSDDE ! Material tangent at the current time increment
!
! local array for 3D crystal plasticity solver
real(8) :: sigma(6), jacobi(6,6)
! material-id needed for array allocations
integer :: matid, debug, debugwait
! counter
integer :: i
!
! turn VS debugger on/off
debug=0
do while (debug==1)
debugwait = 1
end do
!
! to avoid warning messages set the following to zero
DDSDDT = 0.
DRPLDE = 0.
!
! outputs
sigma = 0.
jacobi = 0.
!
!
!
! read the number of elements and number of integration points per element
if (ip_count(NOEL,NPT)<1) then
!
! Increment the counter
ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1
!
! store the number of elements
if (NOEL>numel) numel=NOEL
! store the number of integration points
if (NPT>numpt) numpt=NPT
!
! dimension of the problem (will be re-assigned in feprop)
numtens = ntens
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
PNEWDT=cutback
!
!
!
end if
!
!
! if arrays allocated then
! do the crystal plasticity calculations
if (init_once==1) then
!
!
! material/phase identifier
matid=int(PROPS(5))
!
! in some multi-body simulations UMAT entry for RGB has happened!
! in that case, RGB having no material-ID assigned gave array access issues
! this case deals with that situation
if (matid > 0) then
!
! material property initialization
if (ip_init(NOEL,NPT)==0) then
!
call initialize_atfirstinc(NOEL,NPT,COORDS,
+ NPROPS,PROPS,TEMP,NSTATV)
!
!
! write(*,*) 'element: ', NOEL
! write(*,*) 'ip: ', NPT
! write(*,*) 'initialized!'
end if
!
!
!
!
! call the main crystal plasticity solver
call solve(NOEL,NPT,DFGRD1,DFGRD0,
+ TEMP,DTEMP,DTIME,matid,
+ PNEWDT,NSTATV,STATEV,
+ sigma,jacobi)
!
!
!
! increase the time step if desired or,
! let ABAQUS decide!
if (pastefront > 1.) then
! if there is no cutback introduced
if (PNEWDT /= cutback) then
PNEWDT = pastefront
end if
end if
!
!
!
! 3D case
if (NTENS==6) then
!
STRESS = sigma
DDSDDE = jacobi
!
! plane strain case
elseif (NTENS==4) then
!
STRESS=0.
STRESS=0.
STRESS(1) = sigma(1)
STRESS(2) = sigma(2)
STRESS(3) = sigma(3)
STRESS(4) = sigma(4)
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(1,3) = jacobi(1,3)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(2,3) = jacobi(2,3)
DDSDDE(3,1) = jacobi(3,1)
DDSDDE(3,2) = jacobi(3,2)
DDSDDE(3,3) = jacobi(3,3)
DDSDDE(4,4) = jacobi(4,4)
!
! plane stress case
elseif (NTENS==3) then
!
STRESS=0.
! correction by Alvaro
STRESS(1) = sigma(1)-sigma(3)
STRESS(2) = sigma(2)-sigma(3)
!
STRESS(3) = sigma(4)
!
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(3,3) = jacobi(4,4)
!
end if
!
! if rigid body (or matid not defined in PROPS)
else
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
!
! end of crystal plasticity solution
end if
!
! end of one-time initialization performed case
end if
!
!
!
RETURN
END
================================================
FILE: Example - Single crystal with material vox file/backstress.f
================================================
! May 03rd, 2022
! Eralp Demir
!
module backstress
implicit none
contains
!
! Armstrong-Frederic backstress model
! Two input parameters are required
subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX)
use userinputs, only : maxnparam
implicit none
! Inputs
! Backstress parameters
real(8), intent(in) :: backstressparam(maxnparam)
! Number of slip systems
integer, intent(in) :: nslip
! Current value of slip rate
real(8), intent(in) :: gdot(nslip)
! Current value of backstress
real(8), intent(in) :: X(nslip)
! time increment
real(8), intent(in) :: dt
!
! Output
! Backtress increment
real(8), intent(out) :: dX(nslip)
!
! Variables used in this subroutine
! Backstress evolution parameter
real(8) :: h
! Backstress relief parameter
real(8) :: hD
integer :: is
!
! Backstress evolution
h = backstressparam(1)
!
! Backstress annihiliation
hD = backstressparam(2)
!
dX = 0.
do is=1,nslip
!
dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt
!
end do
!
!
!
return
end subroutine backstressmodel1
!
!
!
!
!
! NON-LOCAL backstress calculation based on GND density
subroutine backstressmodel2
use userinputs, only: maxnslip
use globalvariables, only: numel, numpt,
+ materialid, numslip_all, numscrew_all, screw_all,
+ burgerv_all, gf_all, G12_all, v12_all,
+ backstressparam_all, statev_backstress,
+ statev_gnd, statev_gammasum
use utilities, only: matvec6
implicit none
integer :: matid, nslip, nscrew
real(8) :: burgerv(maxnslip)
integer :: screw(maxnslip)
real(8) :: X(maxnslip)
real(8) :: gf, G12, v12, xi
real(8) :: rhoGNDe, rhoGNDs, gsum
real(8) :: rhoGND(maxnslip)
integer :: ie, ip, is, i, k, l
!
!
!
!
!
!
do ie=1, numel
!
! Reset arrays
burgerv=0.;screw=0
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw = screw_all(matid,1:nscrew)
!
! Geometric factor
gf = gf_all(matid)
!
! Shear Modulus
G12 = G12_all(matid)
!
! Poisson's ratio
v12 = v12_all(matid)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! Backstress parameter
xi = backstressparam_all(matid,1)
!
!
do ip=1,numpt
!
!
!
!
!
!
! Reset backstress
X = 0.
!
!
rhoGND=0.
! Edges
do is = 1, nslip
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Edge dislocation density
rhoGNDe = statev_gnd(ie,ip,is)
!
!!
! rhoGND(is) = abs(statev_gnd(ie,ip,is))
!
!
! Backstress due to edges
X(is) = xi*G12/(1.-v12)*burgerv(is)*
+ sqrt(abs(rhoGNDe))*sign(1.0,gsum)
!
!
!
end do
!
!
!
! Screws
do i = 1, nscrew
!
is = screw(i)
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Screw dislocation density
rhoGNDs = statev_gnd(ie,ip,nslip+i)
!
! rhoGND(is) = rhoGND(is) +
! + abs(statev_gnd(ie,ip,nslip+i))
!
! Backstress due to screws
X(is) = X(is) + xi*G12*burgerv(is)*
+ sqrt(abs(rhoGNDs))*sign(1.0,gsum)
!
!
!
end do
!
!
!! Backstress
! do is = 1, nslip
!!
!! Sum of shear rates
! gsum = statev_gammasum(ie,ip,is)
!!
! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is))
! + *sign(1.0,gsum)
!!
! end do
!
!
! Assign to the global vector
statev_backstress(ie,ip,1:nslip) = X(1:nslip)
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
return
!
end subroutine backstressmodel2
!
!
end module backstress
================================================
FILE: Example - Single crystal with material vox file/cpsolver.f
================================================
! Oct. 1st, 2022
! Eralp Demir
! This module contains the solver schemes for crystal plasticity
!
module cpsolver
implicit none
contains
!
! This subroutine deals with
! global variables and their assignments
! before entering the main solver:
! 1. assigns the global variables to locals
! before calling the CP-solver
! 2. calls fge-predictor scheme before as
! spare solution
! 3. calls implicit or explicit CP-solvers
! 4. assigns the results to the glboal state variables
subroutine solve(noel, npt, dfgrd1, dfgrd0,
+ temp, dtemp, dt, matid, pnewdt, nstatv, statev,
+ sigma, jacobi)
!
use globalvariables, only : dt_t,
+ statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum, statev_ssdtot_t,
+ statev_gammadot_t, statev_gammadot, statev_ssdtot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_loop_t, statev_loop,
+ statev_forest_t, statev_forest, statev_evmp_t, statev_evmp,
+ statev_substructure_t, statev_substructure, statev_sigma_t2,
+ statev_totgammasum_t, statev_totgammasum,
+ statev_tausolute_t, statev_tausolute, forestproj_all,
+ numslip_all, numscrew_all, phaseid_all, Schmid_0_all,
+ dirc_0_all, norc_0_all, caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, alphamat_all, burgerv_all,
+ sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all,
+ slipmodel_all, slipparam_all, creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all, irradiationmodel_all,
+ irradiationparam_all, backstressparam_all, slip2screw_all,
+ statev_backstress_t, statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff,
+ I3, I6, smallnum
!
use userinputs, only: constanttemperature, temperature,
+ predictor, maxnslip, maxnparam, maxxcr, cutback,
+ phi, maxnloop, stateupdate
!
!
use usermaterials, only: materialparam
!
use crss, only: slipresistance, totalandforest
!
use useroutputs, only: assignoutputs, nstatv_outputs
!
use errors, only: error
!
use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6,
+ rotord4sig, gmatvec6
!
implicit none
!
! element no
integer, intent(in) :: noel
!
! ip no
integer, intent(in) :: npt
!
!
! current deformation gradient
real(8), intent(in) :: dfgrd1(3,3)
!
! former deformation gradient
real(8), intent(in) :: dfgrd0(3,3)
!
! ABAQUS temperature
real(8), intent(in) :: temp
!
! ABAQUS temperature increment
real(8), intent(in) :: dtemp
!
! time step
real(8), intent(in) :: dt
!
! material id
integer, intent(in) :: matid
!
! time factor
real(8), intent(inout) :: pnewdt
!
! number of state variables - for postprocessing
integer, intent(in) :: nstatv
!
! state variables - postprocessing
real(8), intent(inout) :: statev(nstatv)
!
! Cauchy stress
real(8), intent(out) :: sigma(6)
!
! Material tangent
real(8), intent(out) :: jacobi(6,6)
!
! Local variables used within this subroutine
!
!
! phase-id
integer :: phaid
!
! number of slip systems
integer :: nslip
!
!
! Convergence flag (initially set to zero!)
!
! Flag for crystal plasticity explicit/implicit solver
integer :: cpconv
!
! Flag for Euler solver convergence
integer :: cpconv0
!
!
! Local state variables with known dimensions
! crystal to sample transformation at the former time step
real(8) :: gmatinv_t(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv(3,3)
! stress at the former time step
real(8) :: sigma_t(6)
! rss/crsss ratio at the former time step
real(8) :: maxx_t
! rss/crsss ratio at the current time step
real(8) :: maxx
! elastic strains in the crystal reference at the former time step
real(8) :: Eec_t(6)
! elastic strains in the crystal reference at the current time step
real(8) :: Eec(6)
! plastic deformation gradient at the former time step
real(8) :: Fp_t(3,3)
! plastic deformation gradient at the current time step
real(8) :: Fp(3,3)
! thermal deformation gradient at the former time step
real(8) :: Fth_t(3,3)
! thermal deformation gradient at the current time step
real(8) :: Fth(3,3)
! inverse of the thermal deformation gradient at the former time step
real(8) :: invFth_t(3,3)
! inverse of the thermal deformation gradient at the current time step
real(8) :: invFth(3,3)
! determinant of the thermal deformation gradient
real(8) :: detFth, detFth_t
! mechanical deformation gradient at the former time step
real(8) :: F_t(3,3)
! mechanical deformation gradient at the current time step
real(8) :: F(3,3)
!
! Variables for velocity gradient calculation
! Fdot
real(8) :: Fdot(3,3)
! velocity gradient at the current time step
real(8) :: L(3,3)
! inverse of the deformation gradient
real(8) :: Finv(3,3)
! determinant of the deformation gradient
real(8) :: detF
!
! Local state variable arrays
! sum of slip per slip system
real(8) :: gammasum_t(numslip_all(matid))
real(8) :: gammasum(numslip_all(matid))
! slip rates
real(8) :: gammadot_t(numslip_all(matid))
real(8) :: gammadot(numslip_all(matid))
! slip resistance
real(8) :: tauc_t(numslip_all(matid))
real(8) :: tauc(numslip_all(matid))
! effective overall slip resistance
! (tauc0 + GND + SSD + solute + substructure + forest + etc.)
real(8) :: tauceff_t(numslip_all(matid))
real(8) :: tauceff(numslip_all(matid))
! Note the size of GND is different
! gnd density (nslip + nscrew)
real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid))
real(8) :: gnd(numslip_all(matid)+numscrew_all(matid))
!
! ssd density (nslip)
real(8) :: ssd_t(numslip_all(matid))
real(8) :: ssd(numslip_all(matid))
! loop density (maxnloop)
real(8) :: loop_t(maxnloop)
real(8) :: loop(maxnloop)
! total forest dislocation density - derived from other terms
real(8) :: rhofor_t(numslip_all(matid))
real(8) :: rhofor(numslip_all(matid))
! total density
real(8) :: rhotot_t(numslip_all(matid))
real(8) :: rhotot(numslip_all(matid))
! forest dislocation density as a state variable
real(8) :: forest_t(numslip_all(matid))
real(8) :: forest(numslip_all(matid))
!
!
! Scalar state variables
! equivalent Von-Mises plastic strain
real(8) :: evmp_t
real(8) :: evmp
!
! cumulative slip
real(8) :: totgammasum_t
real(8) :: totgammasum
!
! plastic dissipation power
real(8) :: plasdiss_t
real(8) :: plasdiss
!
! solute strength
real(8) :: tausolute_t
real(8) :: tausolute
! substructure density
real(8) :: substructure_t
real(8) :: substructure
! total density
real(8) :: ssdtot_t
real(8) :: ssdtot
! scalar cumulartive density
real(8) :: sumrhotot_t
real(8) :: sumrhotot
!
! material-related local variables
! number screw systems
integer :: nscrew
! slip model flag
integer :: smodel
! creep model flag
integer :: cmodel
! hardening model flag
integer :: hmodel
! irradiation mdoel flag
integer :: imodel
! cubic slip flag
integer :: cubicslip
! material temperature
real(8) :: mattemp
! c/a ratio for hcp materials
real(8) :: caratio
! compliance at the crystal reference
real(8) :: Cc(6,6)
! geometric factor
real(8) :: gf
! shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! thermal expansion coefficient
real(8) :: alphamat(3,3)
! slip parameters
real(8) :: sparam(maxnparam)
! creep parameters
real(8) :: cparam(maxnparam)
! hardening parameters
real(8) :: hparam(maxnparam)
! irradiation parameters
real(8) :: iparam(maxnparam)
! Backstress parameters
real(8) :: bparam(maxnparam)
! Burgers vector
real(8) :: burgerv(numslip_all(matid))
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(numslip_all(matid),numslip_all(matid))
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(numslip_all(matid),numslip_all(matid))
! Latent hardening
real(8) :: hintmat1(numslip_all(matid),numslip_all(matid))
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(numslip_all(matid),numslip_all(matid))
!
!
! slip direction and slip plane normal at the crystal reference (undeformed)
real(8) :: dirc_0(numslip_all(matid),3)
real(8) :: norc_0(numslip_all(matid),3)
! slip direction and slip plane normal at the sample reference
real(8) :: dirs_t(numslip_all(matid),3)
real(8) :: nors_t(numslip_all(matid),3)
!
! Forest projection operators for GND and SSD
real(8) :: forestproj(numslip_all(matid),
+ numslip_all(matid)+numscrew_all(matid))
!
! Slip to screw system map
real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid))
!
! Schmid Dyadic
real(8) :: Schmid_0(numslip_all(matid),3,3)
real(8) :: Schmid(numslip_all(matid),3,3)
real(8) :: Schmidvec(numslip_all(matid),6)
real(8) :: SchmidxSchmid(numslip_all(matid),6,6)
real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3)
real(8) :: nsi(6), sni(6)
!
!
!
! strain calculations
! total strain increment
real(8) :: dstran(6), dstran33(3,3)
! thermal strain increment
real(8) :: dstranth33(3,3), dstranth(6)
! total spin increment
real(8) :: domega(3)
! total spin (rate) 3x3 matrix
real(8) :: W(3,3), dW33(3,3)
!
! Elasticity transformation
! temporary array for elastic stiffness calculation
real(8) :: rot4(6,6)
! elasticity matrix at the deformed reference
real(8) :: Cs(6,6)
!
! Trial stress calculation
! trial stress
real(8) :: sigmatr(6)
!
! Backstress at current time
real(8) :: X(numslip_all(matid))
! Backstress at former time
real(8) :: X_t(numslip_all(matid))
! Backstress backup solution
real(8) :: X0(numslip_all(matid))
!
! stress with rotations
real(8) :: sigmarot_t(6)
!
! stress (3x3)
real(8) :: sigma33_t(3,3)
!
!
! Resolved shear stress calculation
! GUESS values
real(8) :: sigma0(6), jacobi0(6,6)
! value of resolved shear stress
real(8) :: tau0(numslip_all(matid))
!
! value of resolved shear stress
real(8) :: tau_t(numslip_all(matid))
!
! value of trial resolved shear stress
real(8) :: tautr(numslip_all(matid))
! absolute value of resolved shear stress
real(8) :: abstautr(numslip_all(matid))
!
! dummy variables
real(8) :: dummy3(3), dummy33(3,3)
real(8) :: dummy33_(3,3)
real(8) :: dummy6(6), dummy66(6,6)
integer :: dum1, dum2, dum3
! unused variables
real(8) :: notused1(maxnslip)
real(8) :: notused2(maxnslip)
real(8) :: notused3(maxnslip)
! In case materials subroutine entered everytime
! Strength interaction between dislocations
real(8) :: notused4(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: notused5(maxnslip,maxnslip)
! Latent hardening
real(8) :: notused6(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: notused7(maxnslip,maxnslip)
! Initial forest and substructure densities
real(8) :: notused8, notused9
!
! counter
integer :: is, i, j
!
!
!
! Reset sparse arrays
notused1=0.;notused2=0.;notused3=0.
notused4=0.;notused5=0.
notused6=0.;notused7=0.
!
!
!
! convergence check initially
! if sinh( ) in the slip law has probably blown up
! then try again with smaller dt
if(any(dfgrd1 /= dfgrd1)) then
! Set the outputs to zero initially
sigma = 0.
jacobi = I6
! cut back time
pnewdt = cutback
! warning message in .dat file
call error(11)
! go to the end of subroutine
return
end if
!
!
!
! phase-id
phaid = phaseid_all(matid)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
!
!
!
! undeformed slip direction
dirc_0 = dirc_0_all(matid,1:nslip,1:3)
! undeformed slip plane normal
norc_0 = norc_0_all(matid,1:nslip,1:3)
!
!
! Forest projection for GND
forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew)
!
!
! Slip to screw system mapping
slip2screw = slip2screw_all(matid,1:nscrew,1:nslip)
!
! Initial Schmid tensor
Schmid_0 = Schmid_0_all(matid,1:nslip,:,:)
!
! Assign the global state variables
! to the local variables
! at the former time step
gammasum_t = statev_gammasum_t(noel,npt,1:nslip)
gammadot_t = statev_gammadot_t(noel,npt,1:nslip)
tauc_t = statev_tauc_t(noel,npt,1:nslip)
gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew)
ssd_t = statev_ssd_t(noel,npt,1:nslip)
loop_t = statev_loop_t(noel,npt,1:maxnloop)
ssdtot_t = statev_ssdtot_t(noel,npt)
forest_t = statev_forest_t(noel,npt,1:nslip)
substructure_t = statev_substructure_t(noel,npt)
evmp_t = statev_evmp_t(noel,npt)
plasdiss_t = statev_plasdiss_t(noel,npt)
totgammasum_t = statev_totgammasum_t(noel,npt)
tausolute_t = statev_tausolute_t(noel,npt)
sigma_t = statev_sigma_t(noel,npt,:)
Fp_t = statev_Fp_t(noel,npt,:,:)
Fth_t = statev_Fth_t(noel,npt,:,:)
Eec_t = statev_Eec_t(noel,npt,:)
! Crystal orientations at former time step
gmatinv_t = statev_gmatinv_t(noel,npt,:,:)
! Backstress at former time step
X_t = statev_backstress_t(noel,npt,1:nslip)
!
!
! Material parameters are constant
caratio = caratio_all(matid)
cubicslip = cubicslip_all(matid)
Cc = Cc_all(matid,:,:)
gf = gf_all(matid)
G12 = G12_all(matid)
alphamat = alphamat_all(matid,:,:)
burgerv = burgerv_all(matid,1:nslip)
!
!
sintmat1 = sintmat1_all(matid,1:nslip,1:nslip)
sintmat2 = sintmat2_all(matid,1:nslip,1:nslip)
hintmat1 = hintmat1_all(matid,1:nslip,1:nslip)
hintmat2 = hintmat2_all(matid,1:nslip,1:nslip)
!
!
!
smodel = slipmodel_all(matid)
sparam = slipparam_all(matid,1:maxnparam)
cmodel = creepmodel_all(matid)
cparam = creepparam_all(matid,1:maxnparam)
hmodel = hardeningmodel_all(matid)
hparam = hardeningparam_all(matid,1:maxnparam)
imodel = irradiationmodel_all(matid)
iparam = irradiationparam_all(matid,1:maxnparam)
bparam = backstressparam_all(matid,1:maxnparam)
!
!
!
!
! Temperature is constant and defined by the user
if (constanttemperature == 1) then
!
!
! Assign temperature
mattemp = temperature
!
!
!
! Temperature is defined by ABAQUS
! Material properties are entered every time
! Because properties can be temperature dependent
else if (constanttemperature == 0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
! get material constants
call materialparam(matid,mattemp,
+ dum1,dum2,dum3,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here
+ notused2,notused3,notused8,notused9,
+ smodel,sparam,cmodel,cparam,
+ hmodel,hparam,imodel,iparam,
+ notused4,notused5,notused6,
+ notused7,bparam) ! Interaction matrices are not updated here
!
!
!
!
!
end if
!
!
!
!
!
!
!
! Slip directions in the sample reference
call rotateslipsystems(phaid,nslip,caratio,
+ gmatinv_t,dirc_0,norc_0,dirs_t,nors_t)
!
!
! Calculate Schmid tensors and Schmid dyadic
Schmid=0.; SchmidxSchmid=0.
do is=1,nslip
!
! Slip direction
sdir = dirs_t(is,:)
! Slip plane normal
ndir = nors_t(is,:)
!
do i=1,3
do j=1,3
SNij(i,j) = sdir(i)*ndir(j)
NSij(j,i) = ndir(j)*sdir(i)
Schmid(is,i,j) = SNij(i,j)
enddo
enddo
!
!
!
!
call gmatvec6(SNij,sni)
!
call gmatvec6(NSij,nsi)
!
! Vectorized Schmid tensor
Schmidvec(is,1:6) = sni
!
do i=1,6
do j=1,6
SchmidxSchmid(is,i,j)=sni(i)*nsi(j)
enddo
enddo
!
enddo
!
!
!
! Calculate total and forest density
call totalandforest(phaid, nscrew, nslip,
+ gnd_t, ssd_t,
+ ssdtot_t, forest_t,
+ forestproj, slip2screw, rhotot_t,
+ sumrhotot_t, rhofor_t)
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv, sintmat1, sintmat2, tauc_t,
+ rhotot_t, sumrhotot_t, rhofor_t, substructure_t,
+ tausolute_t, loop_t, hmodel, hparam, imodel, iparam,
+ mattemp, tauceff_t)
!
!
!
!
! Elastic stiffness in the sample reference
!
! Rotation matrix - special for symmetric 4th rank transformation
call rotord4sig(gmatinv_t,rot4)
!
!
!
! Elasticity tensor in sample reference
dummy66=matmul(rot4,Cc)
Cs = matmul(dummy66,transpose(rot4))
!
!! To avoid numerical problems
! Cs = (Cs + transpose(Cs))/2.
!
!
!
!
!
! CALCULATION OF THERMAL STRAINS
!
! No thermal strains
if (constanttemperature == 1) then
!
!
dstranth = 0.
!
F = dfgrd1
!
F_t = dfgrd0
!
Fth = Fth_t
!
! Thermal strains if temperature change is defined by ABAQUS
else
!
! Thermal eigenstrain in the crystal reference system
dstranth33 = dtemp*alphamat
!
! Transform the thermal strains to sample reference
dstranth33 = matmul(matmul(gmatinv_t,dstranth33),
+ transpose(gmatinv_t))
!
!
!
!
!
! Convert to a vector
call matvec6(dstranth33,dstranth)
!
! Shear corrections
dstranth(4:6) = 2.0*dstranth(4:6)
!
!
!
! Thermal deformation gradient
Fth = Fth_t + dstranth33
!
! Invert the thermal distortions
call inv3x3(Fth,invFth,detFth)
!
call inv3x3(Fth_t,invFth_t,detFth_t)
!
! Take out the thermal distortions from the total deformation
F = matmul(dfgrd1,invFth)
!
F_t = matmul(dfgrd0,invFth_t)
!
!
!
end if
!
!
!
!
! MECHANICAL PART OF THE DEFORMATION GRADIENT
! Calculate velocity gradient
! Rate of deformation gradient
Fdot = (F - F_t) / dt
!
! Inverse of the deformation gradient
call inv3x3(F,Finv,detF)
!
! Velocity gradient
L = matmul(Fdot,Finv)
!
!
!
!
!
!
! CALCULATION OF TOTAL & MECHANICAL STRAINS
!
! Total stain increment from velocity gradient
dstran33=(L+transpose(L))*0.5*dt
!
!
!
call matvec6(dstran33,dstran)
!
! Shear corrections
dstran(4:6) = 2.0*dstran(4:6)
!
!
! Total spin
W=(L-transpose(L))*0.5
!
!
!
! Total spin increment - components
! This is corrected as follows: Eralp - Alvaro 19.02.2023
! The solution in Huang et al gives the negative -1/2*W
! We obtained the spin directly from velocity gradient
! 1. It is positive
! 2. It has to be divided by 2
domega(1) = W(1,2) - W(2,1)
domega(2) = W(3,1) - W(1,3)
domega(3) = W(2,3) - W(3,2)
domega = domega * dt / 2.
!
!
!
!
! Store the stress before rotation correction
sigmarot_t = sigma_t
!
!
! CALCULATION OF TRIAL STRESS
!
! Trial stress
sigmatr = sigma_t + matmul(Cs,dstran)
!
!
!
! 3x3 stress tensor
call vecmat6(sigma_t,sigma33_t)
!
!
!
! Co-rotational stress
sigma33_t = sigma33_t +
+ (matmul(W,sigma33_t) -
+ matmul(sigma33_t,W))*dt
!
!
!
! Vectorize the initial guess
call matvec6(sigma33_t,sigma_t)
!
!
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau_t(is) = dot_product(Schmidvec(is,:),sigma_t)
end do
!
!
!
! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
abstautr(is) = abs(tautr(is))
end do
!
!
! maximum ratio of rss to crss
maxx = maxval(abstautr/tauceff_t)
!
!
!
!
! DECISION FOR USING CRYSTAL PLASTICITY
! BASED ON THRESHOLD VALUE
!
! Elastic solution
if (maxx <= maxxcr) then
!
!
!
!
! stress
sigma = sigmatr
!
! material tangent
jacobi = Cs
!
!
! Assign the global state variables
! For NO SLIP condition
totgammasum=totgammasum_t
gammasum=gammasum_t
gammadot=0.
tauceff=tauceff_t
tauc=tauc_t
gnd=gnd_t
ssd=ssd_t
loop = loop_t
ssdtot=ssdtot_t
forest=forest_t
substructure=substructure_t
evmp=evmp_t
plasdiss=plasdiss_t
tausolute=tausolute_t
Fp=Fp_t
X=X_t
cpconv=1
cpconv0=0
!
! Update orietnations
! All the orientation changes are elastic - rotations
dW33=0.
dW33(1,2) = domega(1)
dW33(1,3) = -domega(2)
dW33(2,1) = -domega(1)
dW33(2,3) = domega(3)
dW33(3,1) = domega(2)
dW33(3,2) = -domega(3)
!
gmatinv = gmatinv_t + matmul(dW33,gmatinv_t)
!
! Elastic strains in the crystal lattice
! Add the former elastic strains
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dummy33)
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dummy33)
dummy33 = matmul(dummy33_,gmatinv)
!
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
Eec=Eec_t+dummy6
!
!
!
!
! Solve using crystal plasticity
else
!
!
!
! Guess if Forward Gradient Predictor scheme is not active
if (predictor == 0) then
!
sigma0 = (1.-phi)*sigma_t + phi*sigmatr
!
!
!
! This part is added by Chris Hardie (11/05/2023)
! Former stress scheme
elseif (predictor == 1) then
!
!
!
if (dt_t > 0.0) then
!
do i = 1, 6
sigma0(i) =
+ statev_sigma_t(noel,npt,i) +
+ (statev_sigma_t(noel,npt,i) -
+ statev_sigma_t2(noel,npt,i))*dt/dt_t
end do
!
else
sigma0 = sigma_t
end if
!
!
!
!
!
!
!
!
!
!
end if
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau0(is) = dot_product(Schmidvec(is,:),sigma0)
end do
!
!
!
call CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0, sigmatr,
+ forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ smodel, sparam, cmodel, cparam,
+ imodel, iparam, hmodel, hparam,
+ bparam, sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t,
+ rhofor_t, forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
!
!
!
!
!
!
!
!
!
! STILL NOT CONVERGED THE CUTBACK TIME
! Convergence check
! Use cpsolver did not converge
! Diverged! - use time cut backs
if (cpconv == 0) then
!
! Set the outputs to zero initially
sigma = 0.!statev_sigma_t(noel,npt,:)
jacobi = 0.!statev_jacobi_t(noel,npt,:,:)
! Set time cut back and send a message
pnewdt = cutback
!
endif
!
!
!
!
endif
!
!
!
!
!
!
! Assign the global state variables
statev_gammasum(noel,npt,1:nslip)=gammasum
statev_gammadot(noel,npt,1:nslip)=gammadot
statev_tauc(noel,npt,1:nslip)=tauc
statev_ssd(noel,npt,1:nslip)=ssd
statev_loop(noel,npt,1:maxnloop)=loop
statev_ssdtot(noel,npt)=ssdtot
statev_forest(noel,npt,1:nslip)=forest
statev_substructure(noel,npt)=substructure
statev_evmp(noel,npt)=evmp
statev_maxx(noel,npt)=maxx
statev_totgammasum(noel,npt)=totgammasum
statev_tausolute(noel,npt)=tausolute
statev_sigma(noel,npt,1:6)=sigma
statev_jacobi(noel,npt,1:6,1:6)=jacobi
statev_Fp(noel,npt,1:3,1:3)=Fp
statev_Fth(noel,npt,1:3,1:3)=Fth
statev_Eec(noel,npt,1:6)=Eec
! Crystal orientations at former time step
statev_gmatinv(noel,npt,1:3,1:3)=gmatinv
! Backstress
statev_backstress(noel,npt,1:nslip)=X
! Plastic dissipation power density
statev_plasdiss(noel,npt)=plasdiss
! Overall CRSS
statev_tauceff(noel,npt,1:nslip)=tauceff
!
! Write the outputs for post-processing
! If outputs are defined by the user
if (nstatv_outputs>0) then
!
call assignoutputs(noel,npt,nstatv,statev)
!
end if
!
!
!
!
!
!
return
end subroutine solve
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Semi-implicit / Explicit state update rule
! Solution using state variables at the former time step
subroutine CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0,
+ sigmatr, forestproj, slip2screw,
+ Schmid_0, Schmid,
+ Schmidvec, SchmidxSchmid,
+ slipmodel, slipparam,
+ creepmodel, creepparam,
+ irradiationmodel, irradiationparam,
+ hardeningmodel, hardeningparam,
+ backstressparam,
+ sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t, rhofor_t,
+ forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum,
+ totgammasum, evmp, plasdiss,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnloop,
+ tauctolerance , SVDinversion,
+ backstressmodel, stateupdate, inversebackup
!
use innerloop, only : Dunne_innerloop, Hardie_innerloop
!
use utilities, only : vecmat6, matvec6,
+ nolapinverse, deter3x3, inv3x3, trace3x3,
+ vecmat9, matvec9, nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use hardening, only: hardeningrules
!
use backstress, only: backstressmodel1
!
use crss, only: slipresistance, totalandforest
!
use errors, only : error
!
implicit none
!
!
! INPUTS
!
! material-id
integer, intent(in) :: matid
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! number of screw sytems
integer, intent(in) :: nscrew
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! geometric factor
real(8), intent(in) :: gf
! elastic shear modulus
real(8), intent(in) :: G12
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! plastic part of the deformation gradient at former time step
real(8), intent(in) :: Fp_t(3,3)
! Crystal to sample transformation martrix at former time step
real(8), intent(in) :: gmatinv_t(3,3)
! Lattice strains
real(8), intent(in) :: Eec_t(6)
! slip rates at the former time step
real(8), intent(in) :: gammadot_t(nslip)
! total slip per slip system accumulated over the time
! at the former time step
real(8), intent(in) :: gammasum_t(nslip)
! overall total slip at the former time step
real(8), intent(in) :: totgammasum_t
! Von-Mises equivalent total plastic strain at the former time step
real(8), intent(in) :: evmp_t
! Plastic dissipation power density at the former time step
real(8), intent(in) :: plasdiss_t
! Cauchy stress guess
real(8), intent(in) :: sigma0(6)
! rss guess
real(8), intent(in) :: tau0(nslip)
! trial stress
real(8), intent(in) :: sigmatr(6)
! Forest projections
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
! Forest projections
real(8), intent(in) :: slip2screw(nscrew,nslip)
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! hardening model no.
integer, intent(in) :: hardeningmodel
! hardening model parameters
real(8), intent(in) :: hardeningparam(maxnparam)
! backstress model parameters
real(8), intent(in) :: backstressparam(maxnparam)
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
!
! overall crss
real(8), intent(in) :: tauceff_t(nslip)
! crss at former time step
real(8), intent(in) :: tauc_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: rhotot_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: sumrhotot_t
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: ssdtot_t
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor_t(nslip)
! forest dislocation density per slip system at the former time step (hardening model = 4)
real(8), intent(in) :: forest_t(nslip)
! substructure dislocation density at the former time step
real(8), intent(in) :: substructure_t
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: gnd_t(nslip+nscrew)
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: ssd_t(nslip)
! loop defect density per slip system at the former time step
real(8), intent(in) :: loop_t(maxnloop)
! backstress at former time step
real(8), intent(in) :: X_t(nslip)
! time increment
real(8), intent(in) :: dt
! total velocity gradient at the current time step
real(8), intent(in) :: L(3,3)
! mechanical strain increment
real(8), intent(in) :: dstran(6)
!
!
!
! OUTPUTS
!
! plastic part of the deformation gradient
real(8), intent(out) :: Fp(3,3)
! Crystal to sample transformation martrix at current time step
real(8), intent(out) :: gmatinv(3,3)
! Green-Lagrange strains in the crystal reference
real(8), intent(out) :: Eec(6)
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(out) :: gammasum(nslip)
! overall total slip at the current time step
real(8), intent(out) :: totgammasum
! Von-Mises equivalent total plastic strain at the current time step
real(8), intent(out) :: evmp
! Plastic dissipation power density at the current time step
real(8), intent(out) :: plasdiss
! Current values of state variables
! overall crss
real(8), intent(out) :: tauceff(nslip)
! crss at the current time step
real(8), intent(out) :: tauc(nslip)
! solute strength due to irradiation hardening
real(8), intent(out) :: tausolute
! total dislocation density over all slip systems at the current time step
real(8), intent(out) :: ssdtot
! forest dislocation density per slip system at the current time step
real(8), intent(out) :: forest(nslip)
! substructure dislocation density at the current time step
real(8), intent(out) :: substructure
! statistically-stored dislocation density per slip system at the current time step
real(8), intent(out) :: ssd(nslip)
! loop defect density per slip system at the current time step
real(8), intent(out) :: loop(maxnloop)
! crss at the current time step
real(8), intent(out) :: X(nslip)
! Cauchy stress
real(8), intent(out) :: sigma(6)
! material tangent
real(8), intent(out) :: jacobi(6,6)
! convergence flag
integer, intent(out) :: cpconv
!
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3), Dp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3), Dp_c(3,3)
! plastic velocity gradient
real(8) Lp(3,3), Dp(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto crss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto crss for creep
real(8) dgammadot_dtauc_c(nslip)
!
!
! rss at the former time step
real(8) :: tau(nslip)
! absolute RSS and sign (used in Hardie scheme)
real(8) :: abstau(nslip), signtau(nslip)
!
! trial absolute RSS and sign (used in Hardie scheme)
real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
! Von-Mises equivalent plastic strain rate and increment
real(8) :: pdot
!
! stress increment
real(8) :: dsigma(6)
!
! stress 3x3 matrix
real(8) :: sigma33(3,3)
!
! plastic part of the deformation gradient
real(8) :: detFp, invFp(3,3)
!
! elastic part of the deformation gradient
real(8) :: Fe(3,3)
!
! elastic part of the velocity gradient
real(8) :: Le(3,3)
!
! elastic spin
real(8) :: We(3,3)
!
! increment in rotation matrix
real(8) :: dR(3,3)
!
! Von-Mises stress
real(8) :: sigmaii, vms, sigmadev(3,3)
!
! Co-rotational stress update
real(8) :: dotsigma33(3,3)
!
! Cauchy stress at former time step in 3x3
real(8) :: sigma33_t(3,3)
!
! Total mechanical strain increment
real(8) :: dstran33(3,3)
!
! plastic strain increment
real(8) :: dstranp33(3,3)
!
! elastic strain increment
real(8) :: dstrane33(3,3)
!
! crss increment
real(8) :: dtauc(nslip)
!
!
! ssd density increment
real(8) :: dssd(nslip)
!
! ssd density increment
real(8) :: dloop(maxnloop)
!
! backstress increment
real(8) :: dX(nslip)
!
! total ssd density increment
real(8) :: dssdtot
!
! forest dislocation density increment
real(8) :: dforest(nslip)
!
! substructure dislocation density increment
real(8) :: dsubstructure
!
! Residues
real(8) :: dtauceff(nslip), tauceff_old(nslip)
!
!
! overall forest density
real(8) :: rhofor(nslip)
!
! overall total density
real(8) :: rhotot(nslip)
!
! overall total scalar density
real(8) :: sumrhotot
!
! Overall residue
real(8) :: dtauceffnorm
!
! error flag for svd inversion
integer :: err
!
! other variables
real(8) :: dummy3(3), dummy33(3,3),
+ dummy33_(3,3), dummy6(6), dummy0
integer :: is, il, iter, oiter
integer :: iterinverse
!
!
! Set convergence flag to "converged"
cpconv = 1
!
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
!
!
! State assignments
gammasum=gammasum_t
tauc = tauc_t
tauceff = tauceff_t
ssdtot = ssdtot_t
ssd = ssd_t
loop = loop_t
rhofor = rhofor_t
X = X_t
forest = forest_t
substructure = substructure_t
!
! Reset variables for the inner iteration
oiter = 0
dtauceffnorm = 1.
!
!
! Outer loop for state update
do while ((dtauceffnorm >= tauctolerance)
+.and.(oiter < maxniter).and.(cpconv==1))
!
!
!
!
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
end if
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
endif
!
!
! Inverse scheme start here!!!
! Try inverse scheme if not converged
if ((cpconv==0).and.(inversebackup==1)) then
!
! Reset convergence flag
cpconv=1
!
! Calculate trial-resolved shear stress on slip systems
! Absolute value of trial-RSS and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)
signtautr(is) = sign(1.0,tautr(is))
abstautr(is) = abs(tautr(is))
end do
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
! Absolute value of RSS and its sign
do is = 1, nslip
signtau(is) = sign(1.0,tau0(is))
abstau(is) = abs(tau0(is))
end do
!
! Reverse slip scheme
call Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
!
!
!
! Recalculate RSS on slip systems
! RSS and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! Call the Dunne solver again
call Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
! assign jacobi and stress
if (cpconv == 0) then
return
end if
!
end if
! End of inverse solution
!
!
!
! Calculate Von Mises invariant plastic strain rate
pdot=sqrt(2./3.*sum(Dp*Dp))
!
!
! Total plastic strain increment
evmp = evmp_t + pdot*dt
!
! Total slip over time per slip system
gammasum = 0.
do is = 1, nslip
!
gammasum(is) = gammasum_t(is) +
+ gammadot(is)*dt
!
enddo
!
!
! Total slip
totgammasum = totgammasum_t +
+ sum(abs(gammadot))*dt
!
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
!
!
!
!
! Update the states using hardening laws
call hardeningrules(phaid,nslip,
+ mattemp,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,
+ tauc_t,ssd_t,loop_t,
+ rhofor_t,rhotot_t,substructure_t,
+ tausolute,dtauc,dssdtot,dforest,
+ dsubstructure,dssd,dloop)
!
!
!
!
! Update the hardening states
!
tauc = tauc_t + dtauc
!
ssd = ssd_t + dssd
!
loop = loop_t + dloop
!
ssdtot = ssdtot_t + dssdtot
!
forest = forest_t + dforest
!
substructure = substructure_t + dsubstructure
!
!
!
! Recalculate total and forest density
call totalandforest(phaid,
+ nscrew, nslip, gnd_t,
+ ssd, ssdtot, forest,
+ forestproj, slip2screw, rhotot,
+ sumrhotot, rhofor)
!
!
!
! Store the former value of effective tauc
tauceff_old = tauceff
!
! Recalculate slip resistance for the next iteration
! Calculate crss
call slipresistance(phaid, nslip,
+ gf, G12, burgerv, sintmat1, sintmat2,
+ tauc, rhotot, sumrhotot, rhofor,
+ substructure, tausolute, loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff)
!
!
! Calculate the change of state
! with respect to the former increment
dtauceff = abs(tauceff-tauceff_old)
!
! Explicit state update
if (stateupdate==0) then
dtauceffnorm = 0.
! Semi-implicit state update
elseif (stateupdate==1) then
dtauceffnorm = maxval(dtauceff)
end if
!
!
!
! Check if the statevariables going negative due to softening
! This may happen at high temperature and strain rates constants going bad
if(any(tauc < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(any(ssd < 0.)) then
! did not converge
cpconv = 0
return
endif
!
! Loop density set to zero if negative
do il = 1, maxnloop
if(loop(il) < 0.) then
!
loop(il) = 0.
!
endif
enddo
!
!
if(any(forest < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(substructure < 0.) then
! did not converge
cpconv = 0
return
endif
!
!
! Update backstress if local model is selected
if (backstressmodel==1) then
!
call backstressmodel1(backstressparam,
+ nslip,X,gammadot,dt,dX)
!
! Update the backstress
X = X_t + dX
!
end if
!
!
! increment iteration no.
oiter = oiter + 1
!
! End of state update (outer loop)
end do
!
!
!
! convergence check
if (oiter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
!
! calculate jacobian
jacobi = matmul(invdpsi_dsigma,Cs)
!
!
!
! Check for NaN in the jacobi matrix
if(any(jacobi/=jacobi)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
! convert it to 3x3 marix
call vecmat6(sigma,sigma33)
!
! Trace of stress
call trace3x3(sigma33,sigmaii)
!
! deviatoric stress
sigmadev = sigma33 - sigmaii*I3/3.
!
! Von-Mises stress
vms = sqrt(3./2.*(sum(sigmadev*sigmadev)))
!
!
! variables for plastic part of the deformation gradient
!dummy33 = I3 - Lp*dt
!call inv3x3(dummy33,dummy33_,dummy0)
dummy33_ = I3 + Lp*dt
!
! plastic part of the deformation gradient
Fp = matmul(dummy33_,Fp_t)
!
! determinant
call deter3x3(Fp,detFp)
!
!
!
!
! check wheter the determinant is negative
! or close zero
if (detFp <= smallnum) then
! did not converge
cpconv = 0
return
else
! Scale Fp with its determinant to make it isochoric
Fp = Fp / detFp**(1./3.)
!
end if
!
!
!
!
!
!
! Elastic part of the velocity gradient
Le = L - Lp
!
! Elastic spin
We = (Le - transpose(Le)) / 2.
!
!
!
! stress rate due to spin
dotsigma33 = matmul(We,sigma33) - matmul(sigma33,We)
!
!
! Update co-rotational sress state
sigma33 = sigma33 + dotsigma33*dt
!
!
! Vectorize stress
call matvec6(sigma33,sigma)
!
!
!
!
!
! Orientation update
!
! Intermediate variable
dR = I3 - We*dt
!
! Invert or transpose since rotations are orthogonal
dR = transpose(dR)
!
!
!
! Update the crystal orientations
gmatinv = matmul(dR, gmatinv_t)
!
!
!
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dstran33)
!
! Elastic strain increment
dstrane33 = dstran33-dstranp33
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dstrane33)
dummy33 = matmul(dummy33_,gmatinv)
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
! Add the strain increment to the former value
Eec=Eec_t+dummy6
!
!
! Plastic dissipation power density
plasdiss=0.
do is = 1, nslip
!
plasdiss = plasdiss +
+ tau(is)*gammadot(is)*dt
!
enddo
!
!
! Sum over the fomer value
plasdiss = plasdiss_t + plasdiss
!
!
!
!
!
!
!
!
!
!
!
return
end subroutine CP_Dunne
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Implicit state update rule
! Solution using the updated state variables
subroutine rotateslipsystems(iphase,nslip,caratio,
+ gmatinv,dirc,norc,dirs,nors)
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nslip
real(8), intent(in) :: caratio
real(8), intent(in) :: gmatinv(3,3)
real(8), intent(in) :: dirc(nslip,3)
real(8), intent(in) :: norc(nslip,3)
real(8), intent(out) :: dirs(nslip,3)
real(8), intent(out) :: nors(nslip,3)
!
integer :: i, is
real(8) :: tdir(3), tnor(3)
real(8) :: tdir1(3), tnor1(3)
real(8) :: dirmag, normag
!
dirs=0.;nors=0.
!
!
do is=1,nslip ! rotate slip directions
!
tdir = dirc(is,:)
tnor = norc(is,:)
!
!
!
tdir1 = matmul(gmatinv,tdir)
tnor1 = matmul(gmatinv,tnor)
!
dirmag = norm2(tdir1)
normag = norm2(tnor1)
!
!
dirs(is,:) = tdir1/dirmag
nors(is,:) = tnor1/normag
!
!
end do
!
!
!
!
return
end subroutine rotateslipsystems
!
!
!
!
!
!
!
!
!
!
!
!
!
end module cpsolver
================================================
FILE: Example - Single crystal with material vox file/creep.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Creep laws
! 1. exponential law (used for Ni-superalloy)
!
module creep
implicit none
contains
!
!
subroutine expcreep(Schmid_0,
+ Schmid,SchmidxSchmid,tau,X,tauc,
+ dtime,nslip,iphase,T,creepparam,slipsysplasstran,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc)
!
use globalvariables, only : Rgas
use utilities, only : gmatvec6
use userinputs, only: maxnparam
implicit none
! Schmid tensor - undeformed
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor - deformed
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! time increment
real(8), intent(in) :: dtime
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: creepparam(maxnparam)
! accumulated plastic strain on each slip system, signed
real(8), intent(in) :: slipsysplasstran(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd
real(8) :: abstau, signtau
integer :: is
!
!
!
!
! Obtain creep parameters
! reference creep rate (1/s)
gammadotc = creepparam(1)
! creep stress multiplier (1/MPa)
bc = creepparam(5)
! activation energy for creep (J/mol)
Qc = creepparam(3)
! reference damage rate (1/s)
gammadotd = creepparam(4)
! damage stress multiplier (1/MPa)
bd = creepparam(5)
! activation energy for damage (J/mol)
Qd = creepparam(6)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
!
gammadot=0.
dgammadot_dtau=0.
dgammadot_dtauc=0.
!
!
!
! contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! This statement is redundant so commented out!
! if (abstau > 0.0) then
!
!
gammadot(is) =
+ signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) +
+ signtau*abs(slipsysplasstran(is))*gammadotd*
+ exp(bd*abstau-Qd/Rgas/T)
!
dgammadot_dtau(is) = gammadotc*bc*
+ exp(bc*abstau-Qc/Rgas/T) +
+ abs(slipsysplasstran(is))*
+ gammadotd*bd*exp(bd*abstau-Qd/Rgas/T)
!
!
!
!
! contribution to Jacobian
Pmat = Pmat + dtime*dgammadot_dtau(is)
+ *SchmidxSchmid(is,:,:)
!
! plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
!
! plastic velocity gradient contribution
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
! endif
!
!
!
end do
!
!
!
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
!
end subroutine expcreep
!
!
!
!
!
end module creep
================================================
FILE: Example - Single crystal with material vox file/crss.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module crss
implicit none
contains
!
! ********************************************************
! ** crss calculates the crss of slip systems **
! ********************************************************
subroutine slipresistance(iphase,nslip,gf,G12,
+ burgerv,sintmat1,sintmat2,
+ tauc0,rhotot,sumrhotot,rhofor,
+ rhosub,tausolute,loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel,irradiationparam,
+ temperature,
+ tauc)
use userinputs, only: useaveragestatevars,
+ maxnloop, maxnparam
implicit none
!
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! geometric factor
real(8),intent(in) :: gf
!
! shear modulus for taylor dislocation law
real(8),intent(in) :: G12
!
! burgers vectors
real(8),intent(in) :: burgerv(nslip)
!
! Strength interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
!
!
! critical resolved shear stress of slip systems
real(8),intent(in) :: tauc0(nslip)
!
! total dislocation density (immobile)
real(8),intent(in) :: rhotot(nslip)
!
! total scalar dislocation density (immobile)
real(8),intent(in) :: sumrhotot
!
! forest dislocation density
real(8),intent(in) :: rhofor(nslip)
!
! substructure dislocation density
real(8),intent(in) :: rhosub
!
! increase in tauc due to solute force
real(8),intent(in) :: tausolute
!
! increase in tauc due to loop defects
real(8),intent(in) :: loop(maxnloop)
!
! hardeningmodel
integer,intent(in) :: hardeningmodel
!
! hardening model parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! activate irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! current temperature
real(8),intent(in) :: temperature
!
! critical resolved shear stress of slip systems
real(8),intent(out) :: tauc(nslip)
!
! variables used in this subroutine
integer :: is, il, nloop
real(8) :: Ploop(nslip)
!
! Subtructure density
real(8) :: tausub(nslip)
! Substructure factor
real(8) :: ksub
!
! Precipitate strengthening parameters
! Strength factor / geometric factor
real(8) :: gfp
! Number density of precipitates [1/mm^3]
real(8) :: rhop
! Particle diameter [mm]
real(8) :: Dp
!
!
! Reset the density of loops
Ploop = 0.
!
! Reset Substructure density
tausub = 0.
!
!
! Reset Precipitate strength
if (hardeningmodel==5) then
! Precipitate strength parameters
gfp=hardeningparam(5)
rhop=hardeningparam(6)
Dp=hardeningparam(7)
else
gfp=0.; rhop=0.; Dp=0.
end if
!
!
!
! If irradiation model-2 is set ON
! Compute the strength contribution
if (irradiationmodel==2) then
!
! Number of defects
nloop = int(irradiationparam(1))
!
do is = 1, nslip
!
!
do il = 1, 3
!
Ploop(is) = Ploop(is) +
+ sintmat2(is,il)**2. * loop(il)
!
end do
!
end do
!
!
!
end if
!
!
!
!
!
!
!
! Check crystal type
! Only for alpha-uranium there is an exception
!
!
!
! Defined by data fitting
! as a function of rhofor, rhosub, and temperature
if (iphase == 4) then
!
! alpha-uranium model with forest and substructure dislocations
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome
! Deformation of wrought uranium: experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) +
+ 1.8218 * dsqrt(rhosub) *
+ log(1. / burgerv(1) / dsqrt(rhosub))
tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) +
+ 1.7995 * dsqrt(rhosub) *
+ log(1. / burgerv(2) / dsqrt(rhosub))
tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(3) / dsqrt(rhosub))
tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(4) / dsqrt(rhosub))
tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(5) / dsqrt(rhosub))
tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(6) / dsqrt(rhosub))
tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(7) / dsqrt(rhosub))
tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(8) / dsqrt(rhosub))
!
! zecevic 2016 temperature dependence
tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0)
tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0)
tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0)
tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0)
tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0)
tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0)
tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0)
tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0)
!
! daniel, lesage, 1971 minimum value as minima
tauc(1) = max(tauc(1),4.0)
tauc(2) = max(tauc(2),4.0)
tauc(3) = max(tauc(3),4.0)
tauc(4) = max(tauc(4),4.0)
tauc(5) = max(tauc(5),4.0)
tauc(6) = max(tauc(6),4.0)
tauc(7) = max(tauc(7),4.0)
tauc(8) = max(tauc(8),4.0)
!
!
!
! For any other phase
! Use forest/total dislocation spacing to determine the strength
!
else
!
! Substructure density
if (hardeningmodel==4) then
!
do is = 1, nslip
ksub = hardeningparam(9)
tausub(is) = ksub*G12*burgerv(is)*
+ dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub))
end do
!
end if
!
!
if (useaveragestatevars == 0) then
!
do is = 1, nslip
!
!
!! Taylor strength - total density / backstress
! tauc(is) = tauc0(is) +
! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is))
!
!
! Taylor strength - forest spacing / cut-through
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
!
!
elseif (useaveragestatevars == 1) then
!
!
do is = 1, nslip
!
! Taylor strength - total density
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*sumrhotot +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
!! Taylor strength - total density
! tauc(is) = tauc0(is)*(1.-X) +
! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) +
! + gf**2.*rhotot + Ploop(is))
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
endif
!
!
!
!
!
!
!
end if ! check crystal type
!
!
!
! Effect of irradiation
! True for all crystal types
if (irradiationmodel == 1) then
tauc = tauc + tausolute
end if
!
!
!
return
!
end subroutine slipresistance
!
!
!
! Calculates the total and forest density
! from SSD and GND densities using summation
! and forest projections
subroutine totalandforest(iphase, nscrew, nslip,
+ gnd, ssd, ssdtot, forest, forestproj, slip2screw,
+ rhotot, sumrhotot, rhofor)
use utilities, only : vecprod
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nscrew
integer, intent(in) :: nslip
real(8), intent(in) :: gnd(nslip+nscrew)
real(8), intent(in) :: ssd(nslip)
real(8), intent(in) :: ssdtot
real(8), intent(in) :: forest(nslip)
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
real(8), intent(in) :: slip2screw(nscrew,nslip)
real(8), intent(out) :: rhotot(nslip)
real(8), intent(out) :: sumrhotot
real(8), intent(out) :: rhofor(nslip)
!
! local variables
!
real(8) vec(3)
integer i, j
!
!
!
!
!
! Compute forest density
! Add gnd and sdd contributions (if exist)
! Forest projections
rhofor = forest + matmul(forestproj, abs(gnd)) +
+ matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges
+ matmul(forestproj(1:nslip,nslip+1:nslip+nscrew),
+ matmul(slip2screw,ssd)) ! screws
!
!
rhotot = ssd +
+ abs(gnd(1:nslip)) + ! edges
+ matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws
!
!
!
! Scalar sum
sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot
!
!
return
end subroutine totalandforest
!
end module crss
================================================
FILE: Example - Single crystal with material vox file/errors.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This is written point the user to the sources of errors
!
module errors
implicit none
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine error(errorid)
implicit none
!
!
!
integer :: errorid
!
!
! Message only when exiting the subroutine
!
if(errorid.eq.1) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-001: Material-ID is out of range (1-9).
+ Pls. check materials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.2) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-002: Element type is not defined!
+ Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.3) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-003: "cubicslip" integer parameter is not
+ properly defined. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.4) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-004: phase id of the material is not
+ within the possible limits!. Pls. check PROPS variable!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.5) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-005: "temperatureflag" is not
+ within the possible limits. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.6) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-006: "NSTATV" is less than the
+ defined outputs.
+ Pls. check DEPVAR in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.7) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-007: GND calculation is not possible
+ for the selected element type.
+ Pls. change the element type in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.8) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-008: Zero activation volume!
+ Pls. check the slip parameters and make sure that the
+ initial dislocation density has non-zero value
+ in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.9) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-009: Could not read the element type
+ and the total number of elements from *.INP file.
+ Pls. check the file name in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.10) then
! write(*,*) '*******************ERROR*******************'
! write(*,*) 'ERROR-010: "Bmat" for L2 method
! + is not invertible.
! + GND model will give zero GND densities!.'
! write(*,*) '*******************************************'
else if (errorid.eq.11) then
! write(*,*) '******************WARNING******************'
! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '*******************************************'
else if (errorid.eq.12) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-012: Lp iteration did not converge'
! write(*,*) 'Using forward-gradient Euler predictor'
! write(*,*) '**********************************************'
else if (errorid.eq.13) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-013: singular matrix in Lp iteration'
! write(*,*) 'Will continue if alternate solution exists!'
! write(*,*) '**********************************************'
else if (errorid.eq.14) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-014: forward-gradient Euler predictor
! + did not converge or it does not exist'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.15) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-015: tmat array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.16) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-016: NR scheme reached maximum number of
! + iterations'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.17) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-017: stress array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.18) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-018: jacobian array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.19) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-019: det(Fp) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.20) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-020: det(Fe) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.21) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-021: state variables become negative'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.22) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-022: inversion in predictor did not work'
! write(*,*) ''
! write(*,*) '**********************************************'
else
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-???: Unknown error!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
end if
!
!
return
end subroutine error
!
!
!
end module errors
================================================
FILE: Example - Single crystal with material vox file/globalvariables.f
================================================
! Sept. 20th, 2022
! Eralp Demir
! University of Oxford
!
! Global variables used within the code
module globalvariables
implicit none
!
!
!
! MATERIAL-LINKED GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! Global variable for Euler angles
real(8), allocatable, public :: Euler(:,:)
! Global variable storing grain id
! Different grains can be present in the mesh
integer, allocatable, public :: featureid(:,:)
!
! Global variable storing material id
integer, allocatable, public :: materialid(:,:)
!
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid(:,:)
!
!
!
! Global variable storing phase-id
! This refers to the crystal structure
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid_all(:)
!
! Global variable for number of slip systems
! Number of slip systems could be different for each ip
integer, allocatable, public :: numslip_all(:)
!
! Global variable for number of slip systems
! Required for GND calculations
! Number of slip systems could be different for each ip
integer, allocatable, public :: numscrew_all(:)
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, allocatable, public :: slipmodel_all(:)
!
! Slip parameters
! Array size adjustable
real(8), allocatable, public :: slipparam_all(:,:)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
!
!
! Creep model identifier
! 0: no creep
! 1: sinh slip strain
! 2: exponential slip strain
! 3: power law slip strain
! 4: sinh slip strain + climb strain
! Default value is set to 0
integer, allocatable, public :: creepmodel_all(:)
! Creep parameters
! Array size adjustable
real(8), allocatable, public :: creepparam_all(:,:)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Kocks-Mecking hardening
! 2: Voce type hardening
! Default value is set to 0
integer, allocatable, public :: hardeningmodel_all(:)
! Hardening parameters
! Array size adjustable
real(8), allocatable, public :: hardeningparam_all(:,:)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, allocatable, public :: irradiationmodel_all(:)
! Irradiation model parameters
! Array size adjustable
real(8), allocatable, public :: irradiationparam_all(:,:)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
!
! Backstress model parameters
! Array size adjustable (maxnmaterial, maxnparam)
real(8), allocatable, public :: backstressparam_all(:,:)
!
! The following variables are stored for every element and ip
! INITALLY - only once at the beginning
! This is done for the following reasons
! 1. In order to reduce computation time
! 2. Various materials can be present in the mesh
!
! Global variable for caratio
real(8), allocatable, public :: caratio_all(:)
!
! Global variable for cubicslip
integer, allocatable, public :: cubicslip_all(:)
!
! Global variable for elasticity in crystal reference
real(8), allocatable, public :: Cc_all(:,:,:)
!
! Global variable for geometric factor in Taylor equation
real(8), allocatable, public :: gf_all(:)
!
! Global variable for shear modulus
real(8), allocatable, public :: G12_all(:)
!
! Global variable for Poisson's ratio
real(8), allocatable, public :: v12_all(:)
!
! Global variable for thermal expansion matrix
real(8), allocatable, public :: alphamat_all(:,:,:)
!
! Global variable for Burgers vector
real(8), allocatable, public :: burgerv_all(:,:)
!
!
! INTERACTION MATRICES
! Global variables for dislocation strength interaction matrix
real(8), allocatable, public :: sintmat1_all(:,:,:)
!
! Global variable for dislocation irradiation loop strength interaction matrix
real(8), allocatable, public :: sintmat2_all(:,:,:)
!
! Global variable for latent hardening interaction
real(8), allocatable, public :: hintmat1_all(:,:,:)
!
! Global variable for dislocation hardening interaction
real(8), allocatable, public :: hintmat2_all(:,:,:)
!
! Screw systems
integer, allocatable, public :: screw_all(:,:)
!
!
!
! -------------------------------------------------------------------------------
!
!
!
!
! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! time at former time step
real(8), public :: time_old
!
! time increment at former time step
real(8), public :: dt_t
!
! Global initialization flag for elemental initialization
! Orientation assigment
! Initial slip direction calculations
! Global coordinates
integer, allocatable, public :: initialized_firstinc(:,:)
!
!
! Global initialization flag for IP initialization
integer, allocatable, public :: ip_init(:,:)
!
! Global one-time initialization flag
integer, public :: init_once
!
! Global one-time initialization flag
integer, public :: grad_init
!
! Global flag for IP count (10m elements, 100 ips)
integer, allocatable, public :: ip_count(:,:)
!
! Crystal orientation at current time step
real(8), allocatable, public :: statev_gmatinv(:,:,:,:)
! Crystal orientation at former time step
real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:)
! Crystal orientation initially
real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:)
!
! Total cumulative Von-Mises equivalent plastic strain at current time step
real(8), allocatable, public :: statev_evmp(:,:)
! Total cumulative Von-Mises equivalent plastic strain at former time step
real(8), allocatable, public :: statev_evmp_t(:,:)
!
! Plastic dissipation power density at current time step
real(8), allocatable, public :: statev_plasdiss(:,:)
! Plastic dissipation power density at former time step
real(8), allocatable, public :: statev_plasdiss_t(:,:)
!
! Effective critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauceff(:,:,:)
!
!
! Total cumulative slip at current time step
real(8), allocatable, public :: statev_totgammasum(:,:)
! Total cumulative slip at former time step
real(8), allocatable, public :: statev_totgammasum_t(:,:)
!
! Cumulative slip at current time step
real(8), allocatable, public :: statev_gammasum(:,:,:)
! Cumulative slip at former time step
real(8), allocatable, public :: statev_gammasum_t(:,:,:)
!
! Slip rates at current time step
real(8), allocatable, public :: statev_gammadot(:,:,:)
! Slip rates at former time step
real(8), allocatable, public :: statev_gammadot_t(:,:,:)
!
!
! Plastic part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fp(:,:,:,:)
! Plastic part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fp_t(:,:,:,:)
!
!
! Thermal part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fth(:,:,:,:)
! Thermal part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fth_t(:,:,:,:)
!
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_sigma(:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_sigma_t(:,:,:)
! Cauchy stress at previous time step
real(8), allocatable, public :: statev_sigma_t2(:,:,:)
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_jacobi(:,:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_jacobi_t(:,:,:,:)
!
!
! Critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauc(:,:,:)
! Critical resolved shear stress at former time step
real(8), allocatable, public :: statev_tauc_t(:,:,:)
!
! maximum of the tau/tauc ratio at current time step
real(8), allocatable, public :: statev_maxx(:,:)
! maximum of tau/tauc ratio at former time step
real(8), allocatable, public :: statev_maxx_t(:,:)
!
! elastic strains at the crystal ref. at current time step
real(8), allocatable, public :: statev_Eec(:,:,:)
! elastic strains at the crystal ref. at former time step
real(8), allocatable, public :: statev_Eec_t(:,:,:)
!
! Lattice curvature at current time step
real(8), allocatable, public :: statev_curvature(:,:,:)
!
! Incompatibility at current time step
real(8), allocatable, public :: statev_Lambda(:,:,:)
! Incompatibility at former time step
real(8), allocatable, public :: statev_Lambda_t(:,:,:)
!
! GND density per slip system at current time step
real(8), allocatable, public :: statev_gnd(:,:,:)
! GND density per slip system at former time step
real(8), allocatable, public :: statev_gnd_t(:,:,:)
! GND density per slip system initially - EBSD import
real(8), allocatable, public :: statev_gnd_0(:,:,:)
!
! SSD density per slip system at current time step
real(8), allocatable, public :: statev_ssd(:,:,:)
! SSD density per slip system at former time step
real(8), allocatable, public :: statev_ssd_t(:,:,:)
!
! Total SSD density at current time step
real(8), allocatable, public :: statev_ssdtot(:,:)
! Total SSD density at former time step
real(8), allocatable, public :: statev_ssdtot_t(:,:)
!
! Forest dislocation density per slip system at current time step
real(8), allocatable, public :: statev_forest(:,:,:)
! Forest dislocation density per slip system at former time step
real(8), allocatable, public :: statev_forest_t(:,:,:)
!
! Substructure dislocation density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_substructure(:,:)
! Substructure dislocation density for irradiation per slip system at former time step
real(8), allocatable, public :: statev_substructure_t(:,:)
!
! Solute strength for irradiation per slip system at current time step
real(8), allocatable, public :: statev_tausolute(:,:)
! Solute strength for irradiation per slip system at former time step
real(8), allocatable, public :: statev_tausolute_t(:,:)
!
!
! Defect loop density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_loop(:,:,:)
! Defect loop for irradiation per slip system at former time step
real(8), allocatable, public :: statev_loop_t(:,:,:)
!
! Backstress per slip system at current time step
real(8), allocatable, public :: statev_backstress(:,:,:)
! Backstress per slip system at former time step
real(8), allocatable, public :: statev_backstress_t(:,:,:)
!
! -------------------------------------------------------------------------------
!
!
!
! MESH INPUTS
! -------------------------------------------------------------------------------
!
! Total number of elements in the mesh
! Adaptive mesh cannot be used!
integer, public :: numel
!
! Element type
! Single element type is possible throughout the mesh
! Please do not leave any spaces between the characters
! Use the element types defined in ABAQUS element library
! Please see meshprop.f for the list of available element types
character(len=:), allocatable, public :: eltyp
!
!
! Number of integration points per element
integer, public :: numpt
!
! Number of nodes per element
integer, public :: nnpel
!
!
! Dimensions of the problem:
! Tensor dimensions in UMAT
integer, public :: numtens
!
! 2: 2D / 3: 3D
integer, public :: numdim
!
!
! -------------------------------------------------------------------------------
!
!
!
! -------------------------------------------------------------------------------
!
! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS
! -------------------------------------------------------------------------------
! These variables will be assigned at the initialization
! A single type of element is assumed throughout the mesh
!
! integration point domain (area/volume)
real(8), allocatable, public :: ipdomain(:,:)
!
! integration point weights
real(8), allocatable, public :: ipweights(:)
!
! Global integration point coordinates
real(8), allocatable, public :: ipcoords(:,:,:)
!
! Element specific shape functions and mappings
! Dependent on element type
!
! Gradient map for elements
real(8), allocatable, public :: gradip2ip(:,:,:,:)
!
! Interpolation matrix
real(8), allocatable, public :: Nmat(:,:)
!
! Inverse of interpolation matrix
real(8), allocatable, public :: invNmat(:,:)
!
! Shape function derivatives
real(8), allocatable, public :: dNmat(:,:,:)
!
! Shape function derivatives at element center
real(8), allocatable, public :: dNmatc(:,:)
!
! Element having a single IP
integer, public :: calculategradient
!
! -------------------------------------------------------------------------------
!
!
!
!
! CONSTANTS
! -------------------------------------------------------------------------------
!
! Number pi
real(8), parameter, public :: pi = 3.14159265359
!
! Taylor factor for a polycrytal aggregate
real(8), parameter, public :: TF = 3.1
!
! Universal gas contant [J/mol/K]
real(8), parameter, public :: Rgas = 8.31432
!
! Boltzman contant [m2 kg s-2 K-1 ]
real(8), parameter, public :: KB = 1.380649d-23
!
! Small real number
real(8), parameter, public :: smallnum = 1.0d-20
!
! Large real number
real(8), parameter, public :: largenum = 1.0d+50
! -------------------------------------------------------------------------------
!
!
!
!
! IDENTITY TENSORS
! -------------------------------------------------------------------------------
!
! Identity matrix (3x3)
real(8), public :: I3(3,3)
!
! Identity matrix (6x6)
real(8), public :: I6(6,6)
!
! Identity matrix (9x9)
real(8), public :: I9(9,9)
!
! Permutation symbol (3,3,3)
real(8), public :: eijk(3,3,3)
!
!
! SLIP DIRECTIONS
! -------------------------------------------------------------------------------
!
!
! Global variable for slip directions
! Slip direction can be different for each material
real(8), allocatable, public :: dirc_0_all(:,:,:)
!
! Global variable for slip plane normal
! Slip plane normal can be different for each material
real(8), allocatable, public :: norc_0_all(:,:,:)
!
! Global variable for transverse direction
! Transverse direction can be different for each material
real(8), allocatable, public :: trac_0_all(:,:,:)
!
! Global variable for line direction
! Line direction can be different for each material
real(8), allocatable, public :: linc_0_all(:,:,:)
!
! Global variable for initial Schmid tensor at the sample referencec
! Schmid tensor can be different for each material
real(8), allocatable, public :: Schmid_0_all(:,:,:,:)
!
! Global variable for forest projections
! Forest projection for GND and SSD
! Can be different for each material
real(8), allocatable, public :: forestproj_all(:,:,:)
!
! Global variable to map screw dislocations from the corespondent slip systems
! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system
! Therefore, need to account for only the defined set of screw systems
! Can be different for each material
real(8), allocatable, public :: slip2screw_all(:,:,:)
!
!
!
! BCC slip directions
real(8), public :: dir1(48,3)
! <111> {110} slip family
data dir1(1,:) /-1., 1., 1. /
data dir1(2,:) / 1., -1., 1. /
data dir1(3,:) / 1., 1., 1. /
data dir1(4,:) / 1., -1., 1. /
data dir1(5,:) / 1., 1., 1. /
data dir1(6,:) / 1., 1., -1. /
data dir1(7,:) / 1., 1., 1. /
data dir1(8,:) /-1., 1., 1. /
data dir1(9,:) / 1., -1., 1. /
data dir1(10,:) /1., 1., -1. /
data dir1(11,:) /-1., 1., 1. /
data dir1(12,:) / 1., 1., -1. /
! <111> {112} slip family
data dir1(13,:) / 1., 1., -1. /
data dir1(14,:) / 1., -1., 1. /
data dir1(15,:) /-1., 1., 1. /
data dir1(16,:) / 1., 1., 1. /
data dir1(17,:) / 1., -1., 1. /
data dir1(18,:) / 1., 1., -1. /
data dir1(19,:) / 1., 1., 1. /
data dir1(20,:) /-1., 1., 1. /
data dir1(21,:) /-1., 1., 1. /
data dir1(22,:) / 1., 1., 1. /
data dir1(23,:) / 1., 1., -1. /
data dir1(24,:) / 1., -1., 1. /
! <111> {123} slip family
data dir1(25,:) / 1., 1., -1. /
data dir1(26,:) / 1., -1., 1. /
data dir1(27,:) /-1., 1., 1. /
data dir1(28,:) / 1., 1., 1. /
data dir1(29,:) / 1., -1., 1. /
data dir1(30,:) / 1., 1., -1. /
data dir1(31,:) / 1., 1., 1. /
data dir1(32,:) /-1., 1., 1. /
data dir1(33,:) / 1., 1., -1. /
data dir1(34,:) / 1., -1., 1. /
data dir1(35,:) /-1., 1., 1. /
data dir1(36,:) / 1., 1., 1. /
data dir1(37,:) / 1., -1., 1. /
data dir1(38,:) / 1., 1., -1. /
data dir1(39,:) / 1., 1., 1. /
data dir1(40,:) /-1., 1., 1. /
data dir1(41,:) /-1., 1., 1. /
data dir1(42,:) / 1., 1., 1. /
data dir1(43,:) / 1., 1., -1. /
data dir1(44,:) / 1., -1., 1. /
data dir1(45,:) /-1., 1., 1. /
data dir1(46,:) / 1., 1., 1. /
data dir1(47,:) / 1., 1., -1. /
data dir1(48,:) / 1., -1., 1. /
!
!
! BCC slip plane normals
real(8), public :: nor1(48,3)
! <111> {110} slip family
data nor1(1,:) / 1., 1., 0. /
data nor1(2,:) / 1., 1., 0. /
data nor1(3,:) /-1., 0., 1. /
data nor1(4,:) /-1., 0., 1. /
data nor1(5,:) /-1., 1., 0. /
data nor1(6,:) /-1., 1., 0. /
data nor1(7,:) / 0., 1., -1. /
data nor1(8,:) / 0., 1., -1. /
data nor1(9,:) / 0., 1., 1. /
data nor1(10,:) / 0., 1., 1. /
data nor1(11,:) / 1., 0., 1. /
data nor1(12,:) / 1., 0., 1. /
! <111> {112} slip family
data nor1(13,:) / 1., 1., 2. /
data nor1(14,:) /-1., 1., 2. /
data nor1(15,:) / 1., -1., 2. /
data nor1(16,:) / 1., 1., -2. /
data nor1(17,:) / 1., 2., 1. /
data nor1(18,:) /-1., 2., 1. /
data nor1(19,:) / 1., -2., 1. /
data nor1(20,:) / 1., 2., -1. /
data nor1(21,:) / 2., 1., 1. /
data nor1(22,:) /-2., 1., 1. /
data nor1(23,:) / 2., -1., 1. /
data nor1(24,:) / 2., 1., -1. /
! <111> {123} slip family
data nor1(25,:) / 1., 2., 3. /
data nor1(26,:) / -1., 2., 3. /
data nor1(27,:) / 1., -2., 3. /
data nor1(28,:) / 1., 2., -3. /
data nor1(29,:) / 1., 3., 2. /
data nor1(30,:) / -1., 3., 2. /
data nor1(31,:) / 1., -3., 2. /
data nor1(32,:) / 1., 3., -2. /
data nor1(33,:) / 2., 1., 3. /
data nor1(34,:) / -2., 1., 3. /
data nor1(35,:) / 2., -1., 3. /
data nor1(36,:) / 2., 1., -3. /
data nor1(37,:) / 2., 3., 1. /
data nor1(38,:) / -2., 3., 1. /
data nor1(39,:) / 2., -3., 1. /
data nor1(40,:) / 2., 3., -1. /
data nor1(41,:) / 3., 1., 2. /
data nor1(42,:) / -3., 1., 2. /
data nor1(43,:) / 3., -1., 2. /
data nor1(44,:) / 3., 1., -2. /
data nor1(45,:) / 3., 2., 1. /
data nor1(46,:) / -3., 2., 1. /
data nor1(47,:) / 3., -2., 1. /
data nor1(48,:) / 3., 2., -1. /
!
!
!
! FCC slip directions
real(8), public :: dir2(18,3)
! <110> {111} slip family
data dir2(1,:) / 1., -1., 0. /
data dir2(2,:) / 0., 1., -1. /
data dir2(3,:) / 1., 0., -1. /
data dir2(4,:) / 1., 1., 0. /
data dir2(5,:) / 0., 1., -1. /
data dir2(6,:) / 1., 0., 1. /
data dir2(7,:) / 1., 1., 0. /
data dir2(8,:) / 0., 1., 1. /
data dir2(9,:) / 1., 0., -1. /
data dir2(10,:) / 1., -1., 0. /
data dir2(11,:) / 0., 1., 1. /
data dir2(12,:) / 1., 0., 1. /
! <110> {100} cubic slip family
data dir2(13,:) / 0., 1., 1. /
data dir2(14,:) / 0., 1., -1. /
data dir2(15,:) / 1., 0., 1. /
data dir2(16,:) / 1., 0., -1. /
data dir2(17,:) / 1., 1., 0. /
data dir2(18,:) / 1., -1., 0. /
!
!
! FCC slip plane normals
real(8), public :: nor2(18,3)
! <110> {111} slip family
data nor2(1,:) / 1., 1., 1. /
data nor2(2,:) / 1., 1., 1. /
data nor2(3,:) / 1., 1., 1. /
data nor2(4,:) /-1., 1., 1. /
data nor2(5,:) /-1., 1., 1. /
data nor2(6,:) /-1., 1., 1. /
data nor2(7,:) / 1., -1., 1. /
data nor2(8,:) / 1., -1., 1. /
data nor2(9,:) / 1., -1., 1. /
data nor2(10,:) / 1., 1., -1. /
data nor2(11,:) / 1., 1., -1. /
data nor2(12,:) / 1., 1., -1. /
! <110> {100} cubic slip family
data nor2(13,:) / 1., 0., 0. /
data nor2(14,:) / 1., 0., 0. /
data nor2(15,:) / 0., 1., 0. /
data nor2(16,:) / 0., 1., 0. /
data nor2(17,:) / 0., 0., 1. /
data nor2(18,:) / 0., 0., 1. /
!
!
! The directions are corrected by Alvaro 23.02.2023
! HCP slip directions
real(8), public :: dir3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data dir3h(1,:) / 2., -1., -1., 0./
data dir3h(2,:) /-1., 2., -1., 0./
data dir3h(3,:) /-1., -1., 2., 0./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data dir3h(4,:) / 2., -1., -1., 0./
data dir3h(5,:) /-1., 2., -1., 0./
data dir3h(6,:) /-1., -1., 2., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(7,:) /-1., 2., -1., 0./
data dir3h(8,:) /-2., 1., 1., 0./
data dir3h(9,:) /-1., -1., 2., 0./
data dir3h(10,:) / 1., -2., 1., 0./
data dir3h(11,:) / 2., -1., -1., 0./
data dir3h(12,:) / 1., 1., -2., 0./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(13,:) /-2., 1., 1., 3./
data dir3h(14,:) /-1., -1., 2., 3./
data dir3h(15,:) /-1., -1., 2., 3./
data dir3h(16,:) / 1., -2., 1., 3./
data dir3h(17,:) / 1., -2., 1., 3./
data dir3h(18,:) / 2., -1., -1., 3./
data dir3h(19,:) / 2., -1., -1., 3./
data dir3h(20,:) / 1., 1., -2., 3./
data dir3h(21,:) / 1., 1., -2., 3./
data dir3h(22,:) /-1., 2., -1., 3./
data dir3h(23,:) /-1., 2., -1., 3./
data dir3h(24,:) /-2., 1., 1., 3./
!
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data dir3h(25,:) /-1., -1., 2., 3./
data dir3h(26,:) / 1., -2., 1., 3./
data dir3h(27,:) / 2., -1., -1., 3./
data dir3h(28,:) / 1., 1., -2., 3./
data dir3h(29,:) /-1., 2., -1., 3./
data dir3h(30,:) /-2., 1., 1., 3./
!
!
! HCP slip plane normals
real(8), public :: nor3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data nor3h(1,:) /0., 0., 0., 1./
data nor3h(2,:) /0., 0., 0., 1./
data nor3h(3,:) /0., 0., 0., 1./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data nor3h(4,:) /0., 1., -1., 0./
data nor3h(5,:) /-1., 0., 1., 0./
data nor3h(6,:) /1., -1., 0., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(7,:) /1., 0., -1., 1./
data nor3h(8,:) /0., 1., -1., 1./
data nor3h(9,:) /-1., 1., 0., 1./
data nor3h(10,:) /-1., 0., 1., 1./
data nor3h(11,:) /0., -1., 1., 1./
data nor3h(12,:) /1., -1., 0., 1./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(13,:) /1., 0., -1., 1./
data nor3h(14,:) /1., 0., -1., 1./
data nor3h(15,:) /0., 1., -1., 1./
data nor3h(16,:) /0., 1., -1., 1./
data nor3h(17,:) /-1., 1., 0., 1./
data nor3h(18,:) /-1., 1., 0., 1./
data nor3h(19,:) /-1., 0., 1., 1./
data nor3h(20,:) /-1., 0., 1., 1./
data nor3h(21,:) /0., -1., 1., 1./
data nor3h(22,:) /0., -1., 1., 1./
data nor3h(23,:) /1., -1., 0., 1./
data nor3h(24,:) /1., -1., 0., 1./
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data nor3h(25,:) /1., 1., -2., 2./
data nor3h(26,:) /-1., 2., -1., 2./
data nor3h(27,:) /-2., 1., 1., 2./
data nor3h(28,:) /-1., -1., 2., 2./
data nor3h(29,:) /1., -2., 1., 2./
data nor3h(30,:) /2., -1., -1., 2./
!
!
! Slip direction for alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: dir4(8,3)
data dir4(1,:) /1.0, 0.0, 0.0/
data dir4(2,:) /1.0, 0.0, 0.0/
data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
! Slip plane normals of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: nor4(8,3)
data nor4(1,:) /0.0, 1.0, 0.0/
data nor4(2,:) /0.0, 0.0, 1.0/
data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
!
!
! -------------------------------------------------------------------------------
!
end module globalvariables
================================================
FILE: Example - Single crystal with material vox file/hardening.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module hardening
implicit none
contains
! Since crss is computed considering the phase
! Hardening shall evolve the proper state variables
!
!
! ********************************************
! ** HARDENING updates the state variables **
! ** that determine mechanical hardening **
! ********************************************
subroutine hardeningrules(iphase,nslip,
+ temperature,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,tauc,ssd,
+ loop, rhofor, rhotot,
+ rhosub, tausolute,
+ dtauc,drhotot,drhofor,
+ drhosub, dssd, dloop)
use globalvariables, only : KB
use userinputs, only: maxnparam, maxnloop
implicit none
!
! INPUTS
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! current temperature
real(8),intent(in) :: temperature
!
! time increment
real(8),intent(in) :: dt
!
! shear modulus
real(8),intent(in) :: G12
!
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
!
!
! cumulative crystallographic slip at the current tiemstep
! needed for model with irradiation
real(8),intent(in) :: totgammasum
!
! plastic shear rate on slip systems
! and absolute value
real(8),intent(in) :: gammadot(nslip)
!
! Von-mises equivalent plastic strain rate
real(8),intent(in) :: pdot
!
! irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! hardening model
integer,intent(in) :: hardeningmodel
!
! hardening parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! Hardening interaction matrices
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
! crss
real(8),intent(in) :: tauc(nslip)
!
! ssd density
real(8),intent(in) :: ssd(nslip)
!
! loop density
real(8),intent(in) :: loop(maxnloop)
!
! forest density
real(8),intent(in) :: rhofor(nslip)
!
! total density
real(8),intent(in) :: rhotot(nslip)
!
! substructure density
real(8),intent(in) :: rhosub
!
!
!
! OUTPUTS
! increase in tauc due to solute force
real(8),intent(out) :: tausolute
!
! crss increment
real(8),intent(out) :: dtauc(nslip)
!
!
!
!
! total ssd density increment
real(8),intent(out) :: drhotot
!
! forest dislocation density increment
real(8),intent(out) :: drhofor(nslip)
!
! substructure dislocation density increment
real(8),intent(out) :: drhosub
!
! ssd density increment
real(8),intent(out) :: dssd(nslip)
!
! loop density increment
real(8),intent(out) :: dloop(maxnloop)
!
!
!
!
!
!
! Variables used within this subroutine
! absolute value of the plastic shear rate on slip systems
real(8), dimension(nslip) :: absgammadot
! Parameters for irradiation hardening
real(8) :: taus0, gammasat, gamma
! Parameters for irradiation model = 2
integer :: nloop
! Parameters for Voce typ hardening model
real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip)
! Parameter for linear hardening model
real(8) :: k
! Parameters for Kocks-Mecking hardening model
real(8) :: k1, b, X, g, D, pdot0, k2, KBT
! Parameters for hardening model - 5 (KM)
real(8) :: q1, q2, tot
! Additional parameters for substructure hardening
real(8) :: f
!
integer :: is, js, i, j
integer :: il
!
!
! Set outputs zero initially
dtauc = 0.
dssd = 0.
drhofor = 0.
drhosub = 0.
drhotot = 0.
tausolute = 0.
dloop = 0.
!
!
!
! absolute value of slip rates
absgammadot = dabs(gammadot)
!
!
!
! Irradiation hardening
! =========================================================================
!
!
! update solute force
if (irradiationmodel == 1) then
!
! Prefactor in irradiation hardening
taus0 = irradiationparam(1)
!
! Saturation strain
gammasat = irradiationparam(2)
!
! Solute strength
tausolute = taus0*dexp(-totgammasum/gammasat)
!
end if
!
!
!
! update loop density
if (irradiationmodel == 2) then
!
! Number of type of the loop defects
nloop = int(irradiationparam(1))
!
! Compute the evolution (annihiliation)
do il = 1, nloop
!
!
do is = 1, nslip
!
dloop(il) = dloop(il) - hintmat2(il,is) *
+ sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt
!
!
!
!
!
end do
!
!
end do
!
!
!
end if
!
!
!
! =========================================================================
!
!
!
! Other strainhardening models
! No hardening
if (hardeningmodel==0) then
!
! Do not harden!
!
!
elseif (hardeningmodel==1) then
!
! read in the parameters
h0 = hardeningparam(1)
ss = hardeningparam(2)
m = hardeningparam(3)
q = hardeningparam(4)
!
!
!
! Construct the latent hardening matrix
! Note that this is a matrix different than latent hardening
Hab = hintmat1
!
hb=0.
do is = 1,nslip
!
hb(is) = h0*(1.-tauc(is)/ss)**m*
+ absgammadot(is)*dt
!
!
!
!
!
end do
!
dtauc = matmul(Hab,hb)
!
!
! linear hardening model
elseif (hardeningmodel==2) then
!
! read in the parameters
k = hardeningparam(1)
!
!
! total density
drhotot = k*pdot*dt
!
! SSD evolution
do is = 1, nslip
!
dssd(is) = k*absgammadot(is)*dt
!
end do
!
!
!
! Kocks-Mecking hardening
elseif (hardeningmodel==3) then
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
!
!
KBT = KB*temperature
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
!
dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
!
end do
!
drhotot = sum(dssd)
!
! Kocks-Mecking hardening with substructure evolution
! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!
elseif (hardeningmodel==4) then
!
!
!
!
!
!
!
!
!
!
! for alpha-uranium material parameters are built in
if (iphase == 4) then
!
!
!
! forest dislocations evolution
! using constants from calibration of tensile bar 3
! using twin-slip interaction model
drhofor(1) = 43.2*max(dsqrt(rhofor(1))-
+ (0.17100+2.6093e-03*temperature)
+ *rhofor(1),0.0)*absgammadot(1)*dt
drhofor(2) = 6320.0*max(dsqrt(rhofor(2))-
+ (0.25650+5.8708e-04*temperature)
+ *rhofor(2),0.0)*absgammadot(2)*dt
drhofor(3) = 0.24*max(dsqrt(rhofor(3))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(3),0.0)*absgammadot(3)*dt
drhofor(4) = 0.24*max(dsqrt(rhofor(4))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(4),0.0)*absgammadot(4)*dt
drhofor(5) = 800.0*max(dsqrt(rhofor(5))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(5),0.0)*absgammadot(5)*dt
drhofor(6) = 800.0*max(dsqrt(rhofor(6))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(6),0.0)*absgammadot(6)*dt
drhofor(7) = 800.0*max(dsqrt(rhofor(7))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(7),0.0)*absgammadot(7)*dt
drhofor(8) = 800.0*max(dsqrt(rhofor(8))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(8),0.0)*absgammadot(8)*dt
!
! substructure dislocations evolution
drhosub = 0.216*(17.545+0.26771*temperature)*
+ rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt
!
! If any other material
else
!
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
q = hardeningparam(7)
f = hardeningparam(8)
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is))
+ *absgammadot(is)*dt
!
drhosub = drhosub + b*q*f*dsqrt(rhosub)*
+ k2*rhofor(is)*absgammadot(is)*dt
!
!
end do
!
!
!
!
!
end if
!
! UKAEA - model
! Vikram Phalke
! Kocks-Mecking hardening - based on total density
elseif (hardeningmodel==5) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
q1 = hardeningparam(3)
q2 = hardeningparam(4)
!
!
! interaction matrix
Hab = hintmat1
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
tot = 0.
do js=1,nslip
!
! total density (rhottot) is used to include GND effects
! instead of just SSD density
tot=tot + Hab(is,js)*rhotot(js)
!
end do
!
dssd(is) =
+ (k1/b*dsqrt(tot)-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
!
!
end if
!
return
!
end subroutine hardeningrules
!
!
!
!
!
end module hardening
================================================
FILE: Example - Single crystal with material vox file/initializations.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This module includes initialization scripts
!
module initializations
implicit none
contains
!
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_once
use meshprop, only : feprop
use useroutputs, only: defineoutputs
implicit none
!
!
!
!
! 1. Enter mesh/element properties
! to get number of integration points for array allocation
call feprop
write(*,*) '1. Mesh initialization completed!'
!
! 2. Allocate arrays
call allocate_arrays
write(*,*) '2. Array allocation completed!'
!
! 3. Initialize identity matrices
call initialize_identity
write(*,*) '3. Identity tensors initialized!'
!
! 4. Define outputs
! Based on the flag: "readfromprops = 0 / 1"
! Will be either read from PROPS or from useroutputs.f
call defineoutputs
write(*,*) '4. Outputs are defined using useroutputs.f!'
!
!
! 5. Read the input files if needed
call readfiles
write(*,*) '5. The necessary files were read!'
!
!
return
end subroutine initialize_once
!
!
!
!
! Subroutine to initialize global flags
subroutine initialize_variables
use userinputs, only: maxnumel, maxnumpt
use globalvariables, only : time_old,
+ dt_t, calculategradient, numpt, numel,
+ ip_count, init_once, grad_init
!
! Use this instead of data statements
time_old=0.
dt_t=0.
!
calculategradient=1
grad_init=0
!
! Maximum number of elements and maximum number of integration points
! are defined in userinputs.f
allocate(ip_count(maxnumel,maxnumpt))
ip_count=-1
!
! Element number will be counted
numpt=0
numel=0
!
! flag for initialization once at the beginning
init_once=0
!
return
end subroutine initialize_variables
!
!
!
!
!
! Reading additional input files
subroutine readfiles
use userinputs, only:
+ voxfilename, foldername, readmaterialfile
use globalvariables, only: numel, Euler
integer :: iele
real(8) :: dummy(8)
!
!
! Read vox file if requested
if (readmaterialfile==1) then
! Open the file
open(200,file=foldername // '/' // voxfilename,action='read',
+ status='old')
!
!
! Number of lines is the same as the number of elements
do iele=1,numel
!
dummy=0.
read(100,*) dummy(1:8)
!
! Bunge angles in degrees
Euler(iele,1) = dummy(1)
Euler(iele,2) = dummy(2)
Euler(iele,3) = dummy(3)
!
!
!
end do
!
! End of reading vox file
close(200)
!
end if
!
! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!!
!
!
return
end subroutine readfiles
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_atfirstinc(noel,npt,coords,nprops,
+ props,temp,nstatv)
use userinputs, only: constanttemperature, temperature,
+ maxnslip, maxnparam, maxnmaterial, maxnloop,
+ backstressmodel, readmaterialfile
use globalvariables, only: Euler, materialid,
+ featureid, phaseid, ipcoords, numdim,
+ statev_gmatinv, statev_gmatinv_t, ip_init,
+ numslip_all, numscrew_all, phaseid_all,
+ statev_tauc, statev_tauc_t, statev_gmatinv_0,
+ dirc_0_all, norc_0_all,
+ trac_0_all, linc_0_all, Schmid_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ statev_ssd, statev_ssd_t,
+ statev_ssdtot, statev_ssdtot_t,
+ statev_forest, statev_forest_t,
+ statev_substructure, statev_substructure_t,
+ statev_tausolute, statev_tausolute_t,
+ statev_loop, statev_loop_t,
+ statev_tauceff,
+ statev_gnd_0,
+ caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, v12_all,
+ alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all
!
use irradiation, only: calculateintmats4irradmodel2
use usermaterials, only: materialparam
use utilities, only: rotord4sig
use crss, only: slipresistance, totalandforest
use useroutputs, only: checkoutputs,
+ statev_outputs, nstatv_outputs
use errors, only: error
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of properties
integer, intent(in) :: nprops
! Ip coordinates
real(8), intent(in) :: coords(3)
! State variables
real(8), intent(in) :: props(nprops)
! Abaqus temperature
real(8), intent(in) :: temp
! Number of state variables
integer, intent(in) :: nstatv
!
! Internal variables
! Flag for reading from PROPS vector
integer readfromprops
! Crystal to sample transformation matrix
real(8) :: gmatinv(3,3)
! Phase id
integer :: phaid
! Number of slip systems
integer :: nslip
! Number of screw systems
integer :: nscrew
! Material id
integer :: matid
! Slip model
integer :: slipmodel
! Slip parameters
real(8) :: slipparam(maxnparam)
! Creep model
integer :: creepmodel
! Creep parameters
real(8) :: creepparam(maxnparam)
! Hardening model
integer :: hardeningmodel
! Hardening parameters
real(8) :: hardeningparam(maxnparam)
! Irradiation model
integer :: irradiationmodel
! Irradiation parameters
real(8) :: irradiationparam(maxnparam)
! Backstress parameters
real(8) :: backstressparam(maxnparam)
! Cubic slip for fcc nickel superalloys only
integer :: cubicslip
! Material temperature
real(8) :: mattemp
! c/a ratio for hexagonal materials
real(8) :: caratio
! Crystal elasticity matrix
real(8) :: Cc(6,6)
! Geometric factor
real(8) :: gf
! Shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! Thermal expansion coefficient matrix in crystal lattice
real(8) :: alphamat(3,3)
! Burgers vector
real(8) :: burgerv(maxnslip)
! Screw systems
integer :: screw(maxnslip)
! Initial critical resolved shear stress
real(8) :: tauc_0(maxnslip)
! Initial dislocation density (SSD)
real(8) :: rho_0(maxnslip)
! Sum of the initial density (SSD)
real(8) :: rhosum_0
! Initial forest density (hardening model-4)
real(8) :: forest_0, for_0(maxnslip)
! Initial substructure density (hardening model-4)
real(8) :: substructure_0
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(maxnslip,maxnslip)
! Allocatable arrays
! Slip direction
real(8) :: dirc(maxnslip,3)
! Slip plane normal
real(8) :: norc(maxnslip,3)
! Transverse direction
real(8) :: trac(maxnslip,3)
! Slip line direction
real(8) :: linc(maxnslip*2,3)
! Forest projection operator
real(8) :: forestproj(maxnslip,maxnslip*2)
! Slip to screw system mapping
real(8) :: slip2screw(maxnslip,maxnslip)
! initial Schmid tensor
real(8) :: Schmid_0(maxnslip,3,3)
! initial loop density
real(8) :: loop_0(maxnloop)
! initial solute strength
real(8) :: tausolute_0
! initial GND density
real(8) :: gnd_0(2*maxnslip)
! overall forest density
real(8) :: rhofor_0(maxnslip)
! overall total density
real(8) :: rhotot_0(maxnslip)
! overall cumulative density - scalar
real(8) :: sumrhotot_0
! Effective CRSS
real(8) :: tauceff_0(maxnslip)
! Variables used in the calculations here within this subroutine
! Elasiticity
real(8) :: C11, C12, C44, C13, C33
real(8) :: C23, C22, C55, C66
! Thermal expansion
real(8) :: alpha1, alpha2, alpha3
!
! Dummy variables
integer :: i, j, k, ind, is, nloop, dum
integer :: i0, i1, i2
real(8) :: dir(3), nor(3)
!
!
! Reset arrays
burgerv=0.; tauc_0=0.;
rho_0=0.; forest_0=0.;
substructure_0=0.; for_0=0.
sintmat1=0.; sintmat2=0.
hintmat1=0.; hintmat2=0.
dirc=0.; norc=0.; trac=0.; linc=0.
Schmid_0=0.
forestproj=0.; slip2screw=0.; screw=0
slipparam=0.;creepparam=0.
hardeningparam=0.; irradiationparam=0.
backstressparam = 0.
!
loop_0=0.; tausolute_0=0.
rhofor_0=0.; rhotot_0=0.
sumrhotot_0=0.; gnd_0=0.
tauceff_0=0.
!
!
!
! Calculation for only once (require NSTATV)
! This is done here because NSTATV is available in UMAT
! Can't be done at UEXTERNALDB(LOP=0)
if (ip_init(1,1) == 0) then
!
! Check the number state variables defined in DEPVAR
! matches the outputs defined by the user (in useroutputs.f or in PROPS)
call checkoutputs(nstatv)
!
end if
!
!
!
!
!
! Initialization flag
ip_init(noel,npt) = 1
!
! Read integration point coordinates
! Assign and store at a global variable
ipcoords(noel,npt,1:numdim) = coords(1:numdim)
!
! Read from PROPS
readfromprops = int(props(6))
!
! Material id
matid = int(props(5))
!
! Save material id
materialid(noel,npt)=matid
!
! Save grain id
featureid(noel,npt) = int(props(4))
!
! Euler angles are read from PROPS
! IF the variable in userinputs.f was set as: "readmaterialfile=0"
! No entry from material file was selected
if (readmaterialfile==0) then
!
! Initialize the ginv from Euler angles
! phi1: 1st on the property list
Euler(noel,1)=props(1)
! Phi: 2nd on the property list
Euler(noel,2)=props(2)
! phi2: 3rd on the property list
Euler(noel,3)=props(3)
!
end if
!
!
!
!
! write(*,*) 'noel', noel
! write(*,*) 'npt', npt
! write(*,*) 'matid', matid
! write(*,*) 'Euler', Euler
!
!
!
!
!
!
! Calculate inverse of the orientation matrix
call initialize_orientations(Euler(noel,1:3),gmatinv)
!
! Assign the initial orientations
statev_gmatinv(noel,npt,:,:)=gmatinv
statev_gmatinv_t(noel,npt,:,:)=gmatinv
statev_gmatinv_0(noel,npt,:,:)=gmatinv
!
!
!
!
!
! Decision on using ABAQUS temperature
if (constanttemperature.eq.1) then
!
!
! Assign
mattemp = temperature
!
else if (constanttemperature.eq.0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
else
! Temperature flag is not assined correctly
call error(5)
!
endif
!
!
! If the properties are defined at "usermaterials.f"
if (readfromprops==0) then
!
! Enter materials subroutine once for every ip to get number of slip systems
call materialparam(matid,mattemp,
+ phaid,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,forest_0,substructure_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
!
! If material properies are defined in PROPS vector
elseif (readfromprops==1) then
!
! Phase id indicates crystal structure
phaid = int(props(7))
!
! Number of slip systems
nslip = int(props(8))
!
! Number of screw systems
nscrew = int(props(9))
!
! cubic slip flag
cubicslip = int(props(10))
!
! geometric factor
gf = props(11)
!
! Elastic constants
C11 = props(12)
C12 = props(13)
C44 = props(14)
!
! Shear modulus
G12 = C44
!
!
! Poisson's ratio
v12 = C12/(C11+C12)
!
! If cubic material - 3 constants
if (phaid<3) then
!
! Elasticity matrix of a cubic material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C12 /)
Cc(2,1:3) = (/ C12, C11, C12 /)
Cc(3,1:3) = (/ C12, C12, C11 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = C44
!
!
! If hexagonal material - 5 constants
elseif (phaid==3) then
!
! Read the remaning parameters
C13 = props(15)
C33 = props(16)
!
! Elasticity matrix of a hexagonal material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C11, C13 /)
Cc(3,1:3) = (/ C13, C13, C33 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = 0.5*(C11-C12)
!
! If tetragonal material - 9 constants
elseif (phaid==4) then
!
! Read the remaning parameters
C23 = props(17)
C22 = props(18)
C55 = props(19)
C66 = props(20)
!
! Elasticity matrix of a ot material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C22, C23 /)
Cc(3,1:3) = (/ C13, C23, C33 /)
Cc(4,4) = C44
Cc(5,5) = C55
Cc(6,6) = C66
!
!
!
endif
!
! c/a ratio
caratio = int(props(21))
!
!
! Thermal expansion coefficients
alpha1 = props(22)
alpha2 = props(23)
alpha3 = props(24)
alphamat = 0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
! Starting index for props
i0 = 25
!
!
! Slip model
slipmodel = int(props(i0))
!
! Slip model parameters
do i = 1, maxnparam
!
ind = i + i0
!
slipparam(i) = props(ind)
!
end do
!
! Creep model
creepmodel = int(props(i0+maxnparam+1))
!
! Creep model parameters
do i = 1, maxnparam
!
ind = i + i0 + maxnparam+1
!
creepparam(i) = props(ind)
!
!
end do
!
!
! Hardening model
hardeningmodel = int(props(i0+2*(maxnparam+1)))
!
! Hardening model parameters
do i = 1, maxnparam
!
ind = i + i0+2*(maxnparam+1)
!
hardeningparam(i) = props(ind)
!
end do
!
!
! They are undefined for now - set to identity
! Interaction matrices
! Initially set all to identity
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
! Define hardening matrix here based on the model!
! Hardening model-1
if (hardeningmodel==1) then
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
end if
!
!
! Irradiation model
irradiationmodel = int(props(i0+3*(maxnparam+1)))
!
!
! Irradiation model parameters
do i = 1, maxnparam
!
ind = i + i0+3*(maxnparam+1)
!
irradiationparam(i) = props(ind)
!
end do
!
!
! Backstress parameters
if (backstressmodel==1) then
!
backstressparam(1) = props(ind+1)
backstressparam(2) = props(ind+2)
!
end if
!
!
!
!
!
!
! Overwrite user-defined outputs in useroutputs.f
! Reset number of state variables
nstatv_outputs = 0
! Reset the flags for outputs
statev_outputs = 0
!
! Reset starting index
i1 = i0 + 5*maxnparam + 3
do i = 1, 30
!
ind = i + i1
!
dum = int(PROPS(ind))
!
statev_outputs(i) = dum
!
! Count the total number of outputs
if (dum ==1) then
nstatv_outputs = nstatv_outputs + 1
end if
!
end do
!
!
!
! Assign slip system quantities
! Reset starting index
i2 = i1 + 30
!
! Initial dislocation density
rho_0=0.
do is = 1, maxnslip
!
ind = is + i2
!
rho_0(is) = props(ind)
!
end do
!
!
! Burgers vector
burgerv=0.
do is = 1, maxnslip
!
ind = is + i2 + 48
!
burgerv(is) = props(ind)
!
end do
!
!
! Initial critical resolved shear strength
tauc_0=0.
do is = 1, maxnslip
!
ind = is + i2 + 96
!
tauc_0(is) = props(ind)
!
end do
!
! Initial forest dislocation density (hardening model-4)
forest_0 = props(273)
!
! Initial substructure dislocation density (hardening model-4)
substructure_0 = props(274)
!
!
! PROPS(275-300) are intentionally left empty!
!
!
endif
!
!
!
! Initialize phase-id of the material
phaseid_all(matid)=phaid
!
!
! Initialize number of slip systems
numslip_all(matid)=nslip
!
! Initialize number of screw systems
! Required for GND calculations
numscrew_all(matid)=nscrew
!
!
! Initialize crss
statev_tauc(noel,npt,1:maxnslip)=tauc_0
statev_tauc_t(noel,npt,1:maxnslip)=tauc_0
!
! Initialize ssd density per slip system
statev_ssd(noel,npt,1:maxnslip)=rho_0
statev_ssd_t(noel,npt,1:maxnslip)=rho_0
!
! Initialize total ssd density
rhosum_0=sum(rho_0(1:nslip))
statev_ssdtot(noel,npt)=rhosum_0
statev_ssdtot_t(noel,npt)=rhosum_0
! Initialize forest density per slip system
for_0(1:nslip)=forest_0
statev_forest(noel,npt,1:maxnslip)=for_0
statev_forest_t(noel,npt,1:maxnslip)=for_0
!
! Initialize total ssd density
statev_substructure(noel,npt)=substructure_0
statev_substructure_t(noel,npt)=substructure_0
!
!
!
!
! Initialize irradiation parameters
if (irradiationmodel==1) then
! Initialize solute strength
tausolute_0=irradiationparam(1)
statev_tausolute(noel,npt)=tausolute_0
statev_tausolute_t(noel,npt)=tausolute_0
!
!
elseif (irradiationmodel==2) then
! Initialize defect loop density
nloop=int(irradiationparam(1))
do i = 1, nloop
loop_0(i)=irradiationparam(1+i)*
+ irradiationparam(1+nloop+i)
statev_loop(noel,npt,i)=loop_0(i)
statev_loop_t(noel,npt,i)=loop_0(i)
end do
!
end if
!
!
! Initialize caratio
caratio_all(matid)=caratio
!
!
! Initialize cubicslip
cubicslip_all(matid)=cubicslip
!
! Initialize elasticity in crystal frame
Cc_all(matid,1:6,1:6)=Cc
!
! Initialize geometric factor
gf_all(matid)=gf
!
! Initialize shear modulus
G12_all(matid)=G12
! Initialize Poisson's ratio
v12_all(matid)=v12
!
! Initialize thermal expansion matrix
alphamat_all(matid,1:3,1:3)=alphamat
!
! Initialize burgers vector
burgerv_all(matid,1:maxnslip)=burgerv
!
!
!
! assign the global variables
!
! slip model
slipmodel_all(matid)=slipmodel
! slip parameters
slipparam_all(matid,:)=slipparam
! creep model
creepmodel_all(matid)=creepmodel
! creep parameters
creepparam_all(matid,:)=creepparam
! hardening model
hardeningmodel_all(matid)=hardeningmodel
! hardening parameters
hardeningparam_all(matid,:)=hardeningparam
! irradiation model
irradiationmodel_all(matid)=irradiationmodel
! irradiation parameters
irradiationparam_all(matid,:)=irradiationparam
!
!
! backstress parameters
backstressparam_all(matid,:)=backstressparam
!
! Initialize initial (undeformed) slip vectors
! This is needed once per element since the material is different
call initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3),
+ trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3),
+ forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip))
!
!
! Irradiation strength and hardening matrices are a function of slip vectors
! Therefore, the interaction matrices need to be computed here,
! after the calculation of slip vectors
if (irradiationmodel==2) then
call calculateintmats4irradmodel2(nslip,dirc,norc,
+ irradiationparam,sintmat2,hintmat2)
end if
!
!
! assign the interaction matrices
! Strength interaction between dislocations
sintmat1_all(matid,:,:) = sintmat1
! Strength interaction dislocation loops related with irradiation
sintmat2_all(matid,:,:) = sintmat2
! Latent hardening
hintmat1_all(matid,:,:) = hintmat1
! Hardening interaction matrix between dislocations
hintmat2_all(matid,:,:) = hintmat2
!
!
!
!
!
!
! assign undeformed slip directions
dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3)
norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3)
trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3)
linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3)
!
! Forest projection operator
forestproj_all(matid,1:nslip,1:nslip+nscrew) =
+ forestproj(1:nslip,1:nslip+nscrew)
!
!
! Slip to screw mapping
slip2screw_all(matid,1:nscrew,1:nslip) =
+ slip2screw(1:nscrew,1:nslip)
!
!
! Screw systems
screw_all(matid,1:nscrew)=screw(1:nscrew)
!
! Initialize Schmid tensor (needed for the calculation of Lp)
Schmid_0=0.
do is=1,nslip
!
! Slip direction in the sample reference
dir = matmul(gmatinv,dirc(is,:))
! Slip plane normal in the sample reference
nor = matmul(gmatinv,norc(is,:))
!
do i=1,3
do j=1,3
Schmid_0(is,i,j) = dir(i)*nor(j)
enddo
enddo
end do
!
! Assign undeformed Schmid tensor
Schmid_0_all(matid,1:nslip,:,:) = Schmid_0(1:nslip,:,:)
!
!
! Initial GND density (may or may not be present!)
gnd_0=statev_gnd_0(noel,npt,:)
!
! Calculate initial total and forest density
call totalandforest(
+ phaid, nscrew, nslip,
+ gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0,
+ for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip),
+ rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip))
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv(1:nslip), sintmat1(1:nslip,1:nslip),
+ sintmat2(1:nslip,1:nslip), tauc_0(1:nslip),
+ rhotot_0, sumrhotot_0, rhofor_0(1:nslip),
+ substructure_0, tausolute_0, loop_0(1:maxnloop),
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff_0(1:nslip))
!
!
statev_tauceff(noel,npt,1:maxnslip)=tauceff_0
!
!
return
end subroutine initialize_atfirstinc
!
!
!
! Arrays allocated
subroutine allocate_arrays
use globalvariables, only : numel, numpt, numdim,
+ Euler, materialid, featureid, phaseid,
+ phaseid_all, numslip_all, numscrew_all,
+ dirc_0_all, norc_0_all, trac_0_all, linc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ ip_init, gradip2ip, ipcoords, ipdomain,
+ statev_sigma_t2, statev_gmatinv, statev_gmatinv_t,
+ statev_gmatinv_0, statev_gammasum, statev_gammasum_t,
+ statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t,
+ statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t,
+ statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t,
+ statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t,
+ statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t,
+ statev_forest, statev_forest_t, statev_substructure,
+ statev_substructure_t, statev_tausolute, statev_tausolute_t,
+ statev_totgammasum, statev_totgammasum_t,
+ statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t,
+ statev_Lambda, statev_Lambda_t, statev_curvature,
+ statev_loop, statev_loop_t, statev_gnd_0,
+ caratio_all, cubicslip_all, Cc_all, gf_all,
+ G12_all, v12_all, alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all, Schmid_0_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all, statev_backstress_t,
+ statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_tauceff
!
use userinputs, only : maxnslip, maxnparam,
+ maxnmaterial, maxnloop
implicit none
integer i, j, k
!
!
! Can be different for each element
allocate(Euler(numel,3))
Euler=0.
!
! For multiple grains
allocate(featureid(numel,numpt))
featureid=0
!
! For multi materials
allocate(materialid(numel,numpt))
materialid=0
!
! For multi phases
allocate(phaseid(numel,numpt))
phaseid=0
!
! Initial crystal to sample transformation
!
! For multi material case with varying number of slip systems
allocate(numslip_all(maxnmaterial))
numslip_all=0
!
! For multi material case with varying number of screw systems
allocate(numscrew_all(maxnmaterial))
numscrew_all=0
!
! Screw systems
allocate(screw_all(maxnmaterial,maxnslip))
screw_all=0
!
!
! For multi material case with varying number of slip systems
allocate(phaseid_all(maxnmaterial))
phaseid_all=0
phaseid_all=0
!
! Allocate slip systems
allocate(dirc_0_all(maxnmaterial,maxnslip,3))
dirc_0_all=0.
allocate(norc_0_all(maxnmaterial,maxnslip,3))
norc_0_all=0.
allocate(trac_0_all(maxnmaterial,maxnslip,3))
trac_0_all=0.
allocate(linc_0_all(maxnmaterial,2*maxnslip,3))
linc_0_all=0.
! Allocate initial Schmid tensor
allocate(Schmid_0_all(maxnmaterial,maxnslip,3,3))
Schmid_0_all=0.
!
! Forest projections for GND
allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2))
forestproj_all=0.
!
! Mapping for dislocations at slip sytems to screw systems for GND
allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip))
slip2screw_all=0.
!
! IP domain size (area/volume)
allocate(ipdomain(numel,numpt))
ipdomain=0.
!
!
! These are needed for GND calculations
allocate(ipcoords(numel,numpt,numdim))
ipcoords=0.
allocate(ip_init(numel,numpt))
ip_init=0 ! very important to set to zero initially
!
! Allocate arrays related with shape functions
! Note the gradient is 3-dimensional ("numdim" is not used!)
allocate(gradip2ip(numel,numpt+1,3,numpt))
gradip2ip=0.
!
!
! Allocate state variables
allocate(statev_gmatinv(numel,numpt,3,3))
statev_gmatinv=0.
allocate(statev_gmatinv_t(numel,numpt,3,3))
statev_gmatinv_t=0.
allocate(statev_gmatinv_0(numel,numpt,3,3))
statev_gmatinv_0=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_gmatinv(i,j,k,k)=1.
statev_gmatinv_t(i,j,k,k)=1.
statev_gmatinv_0(i,j,k,k)=1.
end do
end do
end do
!
allocate(statev_gammasum(numel,numpt,maxnslip))
statev_gammasum=0.
allocate(statev_gammasum_t(numel,numpt,maxnslip))
statev_gammasum_t=0.
allocate(statev_gammadot(numel,numpt,maxnslip))
statev_gammadot=0.
allocate(statev_gammadot_t(numel,numpt,maxnslip))
statev_gammadot_t=0.
allocate(statev_Fp(numel,numpt,3,3))
statev_Fp=0.
allocate(statev_Fp_t(numel,numpt,3,3))
statev_Fp_t=0.
allocate(statev_Fth(numel,numpt,3,3))
statev_Fth=0.
allocate(statev_Fth_t(numel,numpt,3,3))
statev_Fth_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_Fp(i,j,k,k)=1.
statev_Fp_t(i,j,k,k)=1.
statev_Fth(i,j,k,k)=1.
statev_Fth_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_sigma(numel,numpt,6))
statev_sigma=0.
allocate(statev_sigma_t(numel,numpt,6))
statev_sigma_t=0.
allocate(statev_sigma_t2(numel,numpt,6))
statev_sigma_t2=0.
allocate(statev_jacobi(numel,numpt,6,6))
statev_jacobi=0.
allocate(statev_jacobi_t(numel,numpt,6,6))
statev_jacobi_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,6
statev_jacobi(i,j,k,k)=1.
statev_jacobi_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_tauc(numel,numpt,maxnslip))
statev_tauc=0.
allocate(statev_tauc_t(numel,numpt,maxnslip))
statev_tauc_t=0.
!
allocate(statev_tauceff(numel,numpt,maxnslip))
statev_tauceff=0.
!
allocate(statev_maxx(numel,numpt))
statev_maxx=0.
allocate(statev_maxx_t(numel,numpt))
statev_maxx_t=0.
allocate(statev_Eec(numel,numpt,6))
statev_Eec=0.
allocate(statev_Eec_t(numel,numpt,6))
statev_Eec_t=0.
!
! Incompatibility
allocate(statev_Lambda(numel,numpt,9))
statev_Lambda = 0.
allocate(statev_Lambda_t(numel,numpt,9))
statev_Lambda_t = 0.
! Lattice curvature
allocate(statev_curvature(numel,numpt,9))
statev_curvature = 0.
!
! Allocated as twice the maxslip to leave space for screws
allocate(statev_gnd(numel,numpt,2*maxnslip))
statev_gnd=0.
allocate(statev_gnd_t(numel,numpt,2*maxnslip))
statev_gnd_t=0.
allocate(statev_gnd_0(numel,numpt,2*maxnslip))
statev_gnd_0=0.
allocate(statev_ssd(numel,numpt,maxnslip))
statev_ssd=0.
allocate(statev_ssd_t(numel,numpt,maxnslip))
statev_ssd_t=0.
allocate(statev_ssdtot(numel,numpt))
statev_ssdtot=0.
allocate(statev_ssdtot_t(numel,numpt))
statev_ssdtot_t=0.
allocate(statev_forest(numel,numpt,maxnslip))
statev_forest=0.
allocate(statev_forest_t(numel,numpt,maxnslip))
statev_forest_t=0.
allocate(statev_substructure(numel,numpt))
statev_substructure=0.
allocate(statev_substructure_t(numel,numpt))
statev_substructure_t=0.
allocate(statev_tausolute(numel,numpt))
statev_tausolute=0.
allocate(statev_tausolute_t(numel,numpt))
statev_tausolute_t=0.
allocate(statev_totgammasum(numel,numpt))
statev_totgammasum=0.
allocate(statev_totgammasum_t(numel,numpt))
statev_totgammasum_t=0.
allocate(statev_evmp(numel,numpt))
statev_evmp=0.
allocate(statev_evmp_t(numel,numpt))
statev_evmp_t=0.
!
allocate(statev_plasdiss(numel,numpt))
statev_plasdiss=0.
allocate(statev_plasdiss_t(numel,numpt))
statev_plasdiss_t=0.
!
! allocate as sparse array
allocate(statev_loop(numel,numpt,maxnloop))
statev_loop=0.
allocate(statev_loop_t(numel,numpt,maxnloop))
statev_loop_t=0.
!
allocate(statev_backstress(numel,numpt,maxnslip))
statev_backstress=0.
allocate(statev_backstress_t(numel,numpt,maxnslip))
statev_backstress_t=0.
!
! Material parameters
allocate(caratio_all(maxnmaterial))
caratio_all=0.
allocate(cubicslip_all(maxnmaterial))
cubicslip_all=0
allocate(Cc_all(maxnmaterial,6,6))
Cc_all=0.
allocate(gf_all(maxnmaterial))
gf_all=0.
allocate(G12_all(maxnmaterial))
G12_all=0.
allocate(v12_all(maxnmaterial))
v12_all=0.
allocate(alphamat_all(maxnmaterial,3,3))
alphamat_all=0.
allocate(burgerv_all(maxnmaterial,maxnslip))
burgerv_all=0.
!
!
! Material model parameters
allocate(slipmodel_all(maxnmaterial))
slipmodel_all=0
allocate(slipparam_all(maxnmaterial,maxnparam))
slipparam_all=0.
allocate(creepmodel_all(maxnmaterial))
creepmodel_all=0
allocate(creepparam_all(maxnmaterial,maxnparam))
creepparam_all=0.
allocate(hardeningmodel_all(maxnmaterial))
hardeningmodel_all=0
allocate(hardeningparam_all(maxnmaterial,maxnparam))
hardeningparam_all=0.
allocate(irradiationmodel_all(maxnmaterial))
irradiationmodel_all=0
allocate(irradiationparam_all(maxnmaterial,maxnparam))
irradiationparam_all=0.
!
allocate(backstressparam_all(maxnmaterial,maxnparam))
backstressparam_all=0.
!
! Interaction matrices
allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip))
sintmat1_all=0.
allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip))
sintmat2_all=0.
allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip))
hintmat1_all=0.
allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip))
hintmat2_all=0.
!
!
!
return
end subroutine allocate_arrays
!
!
!
!
!
!
!
!
!
!
!
!
! This subroutine assigns identity tensors
! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3)
subroutine initialize_identity
use globalvariables, only : I3, I6, I9, eijk
implicit none
integer :: i, j, k, l
!
I3=0.
I6=0.
I9=0.
!
! Identity matrix (3x3)
do i=1,3
I3(i,i)=1.
enddo
!
!
! Identity matrix (6x6)
do i=1,6
I6(i,i)=1.
enddo
!
! Identity matrix (9x9)
do i=1,9
I9(i,i)=1.
enddo
!
!
! Permutation symbol (3x3x3)
eijk=0.
eijk(1,2,3)=1.
eijk(2,3,1)=1.
eijk(3,1,2)=1.
eijk(3,2,1)=-1.
eijk(2,1,3)=-1.
eijk(1,3,2)=-1.
!
return
end subroutine initialize_identity
!
!
! This subroutine assigns orientations
subroutine initialize_orientations(Euler,gmatinv)
use utilities, only: Euler2ori
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: gmatinv(3,3)
real(8) :: g(3,3)
!
!
! Sample to crystal transformation
call Euler2ori(Euler,g)
!
!
! Crystal to sample tranformation
gmatinv = transpose(g)
!
!
return
end subroutine initialize_orientations
!
!
! All slip systems of different phases are initialized
! 1: BCC
! 2: FCC
! 3: HCP
! 4: alpha-uranium
! Forest projections are initialized here!
! The number of slip systems will be identified in materials card
! Slip directions
subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw,dirc,norc,trac,linc,forestproj,slip2screw)
use userinputs, only : maxnslip
use globalvariables, only : dir1, nor1, dir2, nor2,
+ dir3h, nor3h, dir4, nor4
use utilities, only: vecprod
use errors, only: error
implicit none
! Inputs
integer, intent(in) :: phaid, nslip, nscrew
real(8), intent(in) :: caratio
! Outputs
real(8), dimension(nslip,3), intent(out) :: dirc
real(8), dimension(nslip,3), intent(out) :: norc
real(8), dimension(nslip,3), intent(out) :: trac
real(8), dimension(nslip+nscrew,3), intent(out) :: linc
real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj
real(8), dimension(nscrew,nslip), intent(out) :: slip2screw
integer, dimension(nscrew), intent(out) :: screw
!
! Local variables used within this subroutine
real(8) :: dir(48,3), nor(48,3)
real(8) :: sdir(nslip+nscrew,3)
real(8) :: res
integer :: is, i, j
!
! caratio (c/a) ratio is only used for HCP materials
! So, caratio can take any value for other phases than HCP
!
! Reset arrays
dirc=0.; norc=0.
dir=0.; nor=0.
!
! BCC phase
if (phaid == 1) then
!
!
!
! Normalize slip directions and normals
do is=1, 48
dir(is,:) = dir1(is,:)/norm2(dir1(is,:))
!
nor(is,:) = nor1(is,:)/norm2(nor1(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
! FCC phase
elseif (phaid == 2) then
!
!
!
!
! Normalize slip directions and normals
do is=1,18
dir(is,:) = dir2(is,:)/norm2(dir2(is,:))
!
nor(is,:) = nor2(is,:)/norm2(nor2(is,:))
end do
!
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
!
!
!
! HCP phase
elseif (phaid == 3) then
!
! slip direction conversion
! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)])
do is=1,30
dir(is,1) = 3.*dir3h(is,1)/2.
dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2.
dir(is,3) = dir3h(is,4)*caratio
end do
!
!
! slip plane conversion
! (hkil)->(h (h+2k)/sqrt(3) l/(c/a))
do is=1,30
nor(is,1) = nor3h(is,1)
nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.)
nor(is,3) = nor3h(is,4)/caratio
end do
!
! Normalize slip directions and normals
do is=1,30
dir(is,:) = dir(is,:)/norm2(dir(is,:))
!
nor(is,:) = nor(is,:)/norm2(nor(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
! alpha-Uranium
elseif (phaid == 4) then
!
! Normalize slip directions and normals
do is=1,8
dir(is,:) = dir4(is,:)/norm2(dir4(is,:))
!
nor(is,:) = nor4(is,:)/norm2(nor4(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
else
!
! Error message needed!
! Phase number is not within the available options
call error(4)
!
!
!
end if
!
!
! Transverse directions
trac = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3))
!
end do
!
!
!
! Dislocation line directions:
!
! If screw systems are defined
if (nscrew>0) then
!
!
! Build up the screw slip systems
select case(phaid)
!
!
!
! BCC
case(1)
!
! a/2<111>
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 6
!
!
! FCC
case(2)
!
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 4
screw(5) = 6
screw(6) = 8
!
!
!
! HCP
case(3)
!
! slip
screw(1) = 1
screw(2) = 2
screw(3) = 3
!
screw(4) = 7
screw(5) = 8
screw(6) = 9
screw(7) = 10
screw(8) = 11
screw(9) = 12
!
!
!
!
end select
!
end if
!
!
!
! slip2screw mapping
slip2screw = 0.
! Loop through the defined screw systems for equivalency
do i = 1, nscrew
!
! Screw system corresponding slip system
is = screw(i)
!
! Set the mapping to 1/2
slip2screw(i,is) = 0.5
!
! Loop through all possible slip sytems
do j = 1, nslip
!
! Caclulate the difference in Burgers vector
res = dot_product(dirc(is,1:3),dirc(j,1:3))
!
! If all the components of the vector is the same
if (abs(res)>0.99) then
!
! Assign the component of mapping as 1/2
slip2screw(i,j) = 0.5
!
!
end if
!
! Loop for slip sytems
end do
!
!
! Loop for screw systems
end do
!
!
!
!
!
!
! Calculate line directions for edge dislocations
linc = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3))
!
end do
!
! Calculate line directions for screw dislocations
! If screw dislocations exist
if (nscrew>0) then
!
do i = 1, nscrew
!
linc(nslip+i,1:3) = dirc(screw(i),1:3)
!
end do
!
end if
!
!
! Compute forest projection operator for GNDs
forestproj = 0.
do i = 1, nslip
!
do j = 1, nslip+nscrew
!
forestproj(i,j) =
+ abs(dot_product(norc(i,1:3),linc(j,1:3)))
!
enddo
!
enddo
!
!
!
!
!
!
!
!
return
end subroutine initialize_slipvectors
!
!
!
!
end module initializations
================================================
FILE: Example - Single crystal with material vox file/innerloop.f
================================================
module innerloop
implicit none
contains
!
!
subroutine Dunne_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
use globalvariables, only : I6
!
use userinputs, only : maxniter, tolerance,
+ maxnparam, maxnloop, SVDinversion, maxnslip
!
use utilities, only : matvec6,
+ nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use errors, only : error
!
implicit none
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(in) :: gammasum(nslip)
!
! INOUTS
! Cauchy stress
real(8), intent(inout) :: sigma(6)
! overall crss
real(8), intent(inout) :: tau(nslip)
! convergence flag
integer, intent(inout) :: cpconv
!
! OUTPUTS
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! plastic velocity gradient
real(8), intent(out) :: Lp(3,3)
! Total deformation rate
real(8), intent(out) :: Dp(3,3)
! Total deformation rate
real(8), intent(out) :: dstranp33(3,3)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8), intent(out) :: invdpsi_dsigma(6,6)
! number of iterations
integer, intent(out) :: iter
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3)
! Sym part of plastic velocity gradient for slip
real(8) Dp_s(3,3)
! Sym part of plastic velocity gradient for creep
real(8) Dp_c(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtauc_c(nslip)
!
! plastic strain increment
real(8) :: dstranp(6)
!
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
!
!
! stress increment
real(8) :: dsigma(6)
!
! error flag for svd inversion
integer :: err
!
integer :: is
!
! Reset variables for the inner iteration
psinorm = 1.
iter = 0
!
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= tolerance)
+.and.(iter < maxniter).and.(cpconv == 1))
!
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
Lp_s = 0.
Dp_s = 0.
Pmat_s = 0.
gammadot_s = 0.
!
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! exponential law
elseif (slipmodel == 2) then
!
!
call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,nslip,phaid,
+ mattemp,slipparam,irradiationmodel,
+ irradiationparam,cubicslip,caratio,
+ Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslip(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
end if
!
!
!
! Slip due to creep
if (creepmodel == 0) then
!
!
Lp_c = 0.
Dp_c = 0.
Pmat_c = 0.
gammadot_c = 0.
!
!
elseif (creepmodel == 1) then
!
!
!
call expcreep(Schmid_0,Schmid,SchmidxSchmid,
+ tau,X,tauceff,dt,nslip,phaid,
+ mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c,
+ gammadot_c,dgammadot_dtau_c,
+ dgammadot_dtauc_c)
!
!
!
!
endif
!
!
! Sum the effects of creep and slip rates
Lp = Lp_s + Lp_c
Dp = Dp_s + Dp_c
Pmat = Pmat_s + Pmat_c
gammadot = gammadot_s + gammadot_c
!
!
!
! Check for NaN in the slip rates
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for the Pmat
if(any(Pmat /= Pmat)) then
! did not converge
cpconv = 0
return
endif
!
!
!
! Plastic strain increment
dstranp33 = Dp*dt
call matvec6(dstranp33,dstranp)
dstranp(4:6)=2.*dstranp(4:6)
!
!
!
!
! Tangent-stiffness calculation
! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007)
dpsi_dsigma = I6 + matmul(Cs, Pmat)
!
!
!
! Invert (double precision version)
call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6)
!
!
! If inversion is not successfull!
! Check for the inverse
if(any(invdpsi_dsigma /= invdpsi_dsigma)) then
!
! Try using singular value decomposition
! If singular value decomposition is ON
if (SVDinversion==1) then
!
! Invert
call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err)
!
!
!
else
!
!
! did not converge
err = 1
!
!
!
end if
!
! Check again and if still not successfull
if(err==1) then
! did not converge
cpconv = 0
return
end if
!
!
endif
!
!
!
! residual (predictor - corrector scheme)
psi = sigmatr - sigma - matmul(Cs,dstranp)
!
! norm of the residual
psinorm = sqrt(sum(psi*psi))
!
!
! stress increment
dsigma = matmul(invdpsi_dsigma,psi)
!
!
! stress update
sigma = sigma + dsigma
!
!
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! increment iteration no.
iter = iter + 1
!
! End of NR iteration (inner loop)
end do
!
!
!
!
!
return
end subroutine Dunne_innerloop
!
!
!
!
!
!
!
!
! This subroutine is written by Chris Hardie (11/10/2023)
! Explicit state update rule
! Solution using state variables at the former time step
subroutine Hardie_innerloop(
+ Schmid_0,Schmid,
+ SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnslip,
+ inversetolerance
!
use utilities, only : matvec6, gmatvec6
!
use slipreverse, only : sinhslipreverse, powerslipreverse,
+ doubleexpslipreverse
!
!
implicit none
!
!
! INPUTS
!
! Initial Schmid tensor
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! absolute value of trial RSS
real(8), intent(in) :: abstautr(nslip)
! sign of trial RSS
real(8), intent(in) :: signtautr(nslip)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
!
! OUTPUTS
! Cauchy stress
real(8), intent(out) :: sigma(6)
! Number of iterations
integer, intent(out) :: iterinverse
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! slip rates for slip
real(8) gammadot_s(nslip)
! absolute slip rates
real(8) absgammadot_s(nslip)
! sign of gammadot_s
real(8) signgammadot_s(nslip)
! derivative of rss wrt slip rates for slip
real(8) dtau_dgammadot_s(nslip,nslip)
! derrivative of error function
real(8) dpsi_dgammadot(nslip,nslip)
! inverse of derivative above
real(8) dpsi_dgammadotinv(nslip,nslip)
! slip correction
real(8) dgammadot(nslip)
! Derivative of slip law in forward direction
real(8) :: dgammadot_dtau(nslip)
! rss at the former time step
real(8) :: tau(nslip), tau_e(nslip)
! absolute value of rss at the former time step
real(8) :: abstau(nslip)
! sign of rss at the former time step
real(8) :: signtau(nslip)
!
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psinorm2, psi(nslip)
!
! Forward Jacobian
real(8) :: Pmat(6,6)
real(8) :: dpsi_dsigma(6,6)
! LU decomposition matricies for calculation of determinant
! real(8), allocatable :: l(:,:), u(:,:)
! integer, allocatable :: p(:,:)
!
! plastic strain increment
real(8) :: plasstraininc33(3,3), plasstraininc(6)
real(8) :: plasstrainrate(3,3)
!
! Shear Stiffness Matrix
real(8) :: G(nslip,nslip)
!
! other variables
real(8) :: dummy6(6), damping, iter_max, activesum
integer :: is
!
! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6))
!
!
! Reset variables for iteration
iter_max=10000.0
iterinverse = 0
psinorm = 1.0d+200
psinorm2 = 1.0d+200
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigmatr
abstau = abstautr
signtau =signtautr
tau_e = abstau*signtau
gammadot_s=0.
absgammadot_s=0.
Lp_s=0.
!
! Build Shear stiffness matrix
!
G = 0.
do is = 1, nslip
dummy6 = matmul(Cs, Schmidvec(is,:))
G(is,is) = dot_product(Schmidvec(is,:), dummy6)
end do
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2))
!
! increment iteration no.
iterinverse = iterinverse + 1
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
gammadot_s = 0.
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslipreverse(
+ Schmid,SchmidxSchmid,signtau,
+ abstau,tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,
+ absgammadot_s, gammadot_s,
+ dtau_dgammadot_s, dgammadot_dtau,Pmat)
!
!
!
! double exponent law (exponential law)
elseif (slipmodel == 2) then
!
!
call doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,Pmat,absgammadot_s,gammadot_s,
+ dtau_dgammadot_s,dgammadot_dtau)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s,
+ dgammadot_dtau, Pmat)
!
!
end if
!
! calculate resolved shear stress on slip systems
! rss and its sign
activesum=0
do is = 1, nslip
tau(is) = signtau(is)*abstau(is)
if (abstau(is) .GE. tauceff(is)) then
activesum=activesum+1.0
end if
end do
!
! residual (predictor - corrector) including backstress
psi = tau - X - tau_e
!
! norm of the residual
psinorm2 = sqrt(sum(psi*psi))
!
! Forward Jacobian
dgammadot_dtau=abs(dgammadot_dtau)*dt
psinorm = maxval(dgammadot_dtau)
!
! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u)
!
!
!
! dpsi_dgammadot
!
dpsi_dgammadot = dtau_dgammadot_s + G*dt
!
! Invert diagonal matrix
dpsi_dgammadotinv=0.
do is = 1, nslip
dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is)
end do
!
!
damping=min(2.0/activesum, 1.0)!0.5)
! damping = 0.5
! if (psinorm > 200.0) then
! damping=min(2.0/activesum, 0.5)
! end if
!
! slip increment
dgammadot = matmul(dpsi_dgammadotinv,psi)
!
gammadot_s = gammadot_s-damping*dgammadot
!
!
! Calculate Plastic Strain
Lp_s=0.; plasstrainrate=0.
do is = 1, nslip
Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:)
plasstrainrate = plasstrainrate +
+ gammadot_s(is)*Schmid(is,:,:)
absgammadot_s(is) = abs(gammadot_s(is))
signgammadot_s(is)= sign(1.0,gammadot_s(is))
end do
!
! plastic strain rate
plasstrainrate = (plasstrainrate +
+ transpose(plasstrainrate))/2.
!
!
! Plastic strain increment
plasstraininc33 = plasstrainrate*dt
call matvec6(plasstraininc33,plasstraininc)
plasstraininc(4:6)=2.*plasstraininc(4:6)
call gmatvec6(plasstraininc33,plasstraininc)
!
! Calculate rss following plastic relaxation
!
sigma=sigmatr-matmul(Cs,plasstraininc)
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau_e(is) = dot_product(Schmidvec(is,:),sigma)
tau(is) = tau_e(is)
signtau(is) = sign(1.0,tau(is))
abstau(is) = abs(tau(is))
end do
!
! check if slip is changing direction
do is = 1, nslip
if (signgammadot_s(is) /= signtau(is)) then
gammadot_s(is)=0.0
absgammadot_s(is)=0.0
end if
end do
!
if (iterinverse > iter_max) then
psinorm=1e-10
psinorm2=1e-10
end if
!
! End of NR iteration for stress approximation
end do
!active_s=1
!do is = 1, nslip
! if (absgammadot_s(is) > 0.0) then
! active_s(is)=1
! end if
!end do
return
end subroutine Hardie_innerloop
!
end module innerloop
================================================
FILE: Example - Single crystal with material vox file/irradiation.f
================================================
! Specific subroutines for irradiation models
!
! Strength and hardening interaction matrices for irradiation model-2
module irradiation
implicit none
!
!
contains
!
!
! Subroutine to calculate strength interaction matrix for
! irradiation model-2
! Ref: https://doi.org/10.1016/j.actamat.2022.118361
subroutine calculateintmats4irradmodel2(nslip, dirc, norc,
+ irradiationparam, sintmat, hintmat)
use userinputs, only: maxnslip, maxnparam
implicit none
! Inputs
! Number of slip systems
integer, intent(in) :: nslip
! Normalize slip directions
real(8), intent(in) :: dirc(maxnslip,3)
! Normalized slip plane normals
real(8), intent(in) :: norc(maxnslip,3)
! Irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! Outputs
! Strength interaction matrix
! Strength interaction: sintmat (nslip x nloop)
real(8), intent(out) :: sintmat(maxnslip,maxnslip)
! Hardening (Softening) interaction matrix
! Hardening interaction: hintmat (nloop x nslip)
real(8), intent(out) :: hintmat(maxnslip,maxnslip)
! Variables used in this subroutine
integer :: nloop
! reaction vector
real(8) :: r(3)
! Projected vector (reaction segment)
real(8) :: a
integer :: i, j, ind
!
!
!
!
! Reset arrays
sintmat = 0.
hintmat = 0.
!
!
! Number of types of defects
nloop = int(irradiationparam(1))
!
!
do i=1,nslip
!
do j=1,nloop
!
! Slip system index corresponding to the defect type
ind = int(irradiationparam(7+j))
!
! What is the reaction product for the gliding dislocation on slip
! system 'i' and defect type 'j'?
r = dirc(i,:) + dirc(ind,:)
!
! Is this reaction in the slip plane of slip system 'i'?
a = dot_product(norc(i,:), r)
!
if (a==0.) then
sintmat(i,j)=irradiationparam(12)
hintmat(j,i)=irradiationparam(14)
else
sintmat(i,j)=irradiationparam(11)
hintmat(j,i)=irradiationparam(13)
end if
!
end do
!
end do
!
!
!
!
!
!
!
end subroutine calculateintmats4irradmodel2
!
!
!
end module irradiation
================================================
FILE: Example - Single crystal with material vox file/meshprop.f
================================================
! Jan. 01st, 2023
! Eralp Demir
!
!
! ABAQUS Analysis User's Manual (6.10)
! 2D-Plane strain elements
! CPE4 4-node bilinear 4-integration points
! CPE6 6-node quadratic 3-integration points
! CPE8 8-node biquadratic 9-integration points
! CPE8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 2D-Plane stress elements
! CPS4 4-node bilinear 4-integration points
! CPS6 6-node quadratic 3-integration points
! CPS8 8-node biquadratic 9-integration points
! CPS8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 3D - element types
! C3D6 6-node linear triangular prism 4-integration points
! C3D8 8-node linear brick 8-integration points
! C3D10 10-node quadratic tetrahedron 4-integration points
! C3D15 15-node quadratic triangular prism 9-integration points
! C3D20 20-node quadratic brick 27-integration points
! C3D20R 20-node quadratic brick 8-integration points (reduced integration)
!
module meshprop
implicit none
contains
!
! Finite element properties
! based on element type
subroutine feprop
use errors, only : error
use globalvariables, only : eltyp, numel,
+ numtens, numdim, numpt, nnpel,
+ Nmat, invNmat, dNmat, dNmatc,
+ ipweights, calculategradient
use userinputs, only : gndlinear, gndmodel
use utilities, only: nolapinverse
!
!
implicit none
!
! Gaussian point coordinates
real(8) :: a, b
! Parametric coordinates
real(8) :: g, h, r
!
! Separate variables are used for each element type
! in order to avoid using allocatables!
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP4(4,2)
! Shape functions (nnpel)
real(8) :: N_CP4(4)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP4(2,4)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP4(4,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP4(4,4)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP4(4,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP4(2,4)
!
!
! Element type: CPE6 or CPS6
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP6(3,2)
! Shape functions (nnpel)
! Linear version
real(8) :: N_CP3(3)
! Quadratic version
real(8) :: N_CP6(6)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_CP3(2,3)
! Quadratic version
real(8) :: dN_CP6(2,6)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_CP3(3,3)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_CP6(6,6)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_CP3(3,3)
! Quadratic version
real(8) :: invNmat_CP6(6,3)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_CP3(3,2,3)
! Quadratic version
real(8) :: dNmat_CP6(3,2,6)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_CP3(2,3)
! Quadratic version
real(8) :: dNmatc_CP6(2,6)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP6(3,2)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP3(3,2)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_CP6(6,3)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_CP6(6,6)
!
!
! Element type: CPE8 or CPS8
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP8(9,2)
! Shape functions (nnpel)
real(8) :: N_CP8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP8(2,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8(9,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8(8,9)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP8(9,2,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8(2,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8(8,8)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8lin(9,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8lin(4,9)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_CP8lin(9,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8lin(2,4)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8lin(4,4)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8lin(4,4)
!
!
! Element type: C3D8 or C3D20R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D8(8,3)
! Shape functions (nnpel)
real(8) :: N_C3D8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D8(3,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D8(8,8)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D8(8,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D8(3,8)
!
!
! Element type: C3D10
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D10(4,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D4(4)
! Quadratic version
real(8) :: N_C3D10(10)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D4(3,4)
! Quadratic version
real(8) :: dN_C3D10(3,10)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_C3D4(4,4)
! Linear version (numpt_sub x nnpel)
real(8) :: Nmat_sub_C3D4(6,4)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D10(10,10)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_C3D4(4,4)
! Quadratic version
real(8) :: invNmat_C3D10(10,4)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D4(4,3,4)
! Quadratic version
real(8) :: dNmat_C3D10(4,3,10)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D4(3,4)
! Quadratic version
real(8) :: dNmatc_C3D10(3,10)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D10(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D4(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D10(10,4)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D10(10,10)
!
!
!
! Element type: C3D15
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D15(9,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D6(6)
! Quadratic version
real(8) :: N_C3D15(15)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D6(3,6)
! Quadratic version
real(8) :: dN_C3D15(3,15)
! Shape function matrix
! Linear version (numpt x nnpel_sub)
real(8) :: Nmat_C3D6(9,6)
! Quadratic version (numpt x nnpel_sub)
real(8) :: Nmat_sub_C3D6(6,6)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D15(15,15)
! Coefficient matrix
! Linear version (nnpel_sub x numpt)
real(8) :: coeff_C3D6(6,6)
! Linear version (nnpel_sub x numpt)
real(8) :: invNmat_C3D6(6,9)
! Quadratic version (nnpel x numpt)
real(8) :: invNmat_C3D15(15,9)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D6(9,3,6)
! Quadratic version
real(8) :: dNmat_C3D15(9,3,15)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D6(3,6)
! Quadratic version
real(8) :: dNmatc_C3D15(3,15)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D15(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D6(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D15(15,9)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D15(15,15)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D6(6,6)
!
!
!
!
! Element type: C3D20
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D20(27,3)
! Shape functions (nnpel)
real(8) :: N_C3D20(20)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D20(3,20)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20(27,20)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20(20,20)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20(20,27)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D20(27,3,20)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20(3,20)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20(20,20)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20lin(27,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20lin(8,27)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_C3D20lin(27,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20lin(3,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20lin(8,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20lin(8,8)
!
!
! Sub element properties
integer :: nnpel_sub, numpt_sub
! Parametric Gauss point coordinates
integer :: ipt
! Dummy integers
integer :: i, j
!
!
! Identify the element type
! Based on
! - number of integration points per element: numpt
! - dimension of the problem: ntens
call findelementtype(numtens,numpt,eltyp)
!
!
!
!
!! Output the element type
! write(*,*) 'ABAQUS element type: ', eltyp
!
select case(eltyp)
!
! Element type: CPE3 or CPS3 or CPE6R or CPS6R
! Use the same interpolation functions for the reduced elements
case('CPE3', 'CPS3', 'CPE6R', 'CPS6R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 3
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4R or CPS4R
! Use the same interpolation functions for the reduced elements
case('CPE4R', 'CPS4R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! Use the same interpolation functions for the reduced elements
case('CPE4', 'CPS4', 'CPE8R', 'CPS8R')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP4 = 0.
GPcoords_CP4(1,:) = (/ -1., -1. /)
GPcoords_CP4(2,:) = (/ 1., -1. /)
GPcoords_CP4(3,:) = (/ -1., 1. /)
GPcoords_CP4(4,:) = (/ 1., 1. /)
GPcoords_CP4 = GPcoords_CP4/sqrt(3.)
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
!
! Gauss point coordinates
g = GPcoords_CP4(ipt,1)
h = GPcoords_CP4(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP4(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP4,invNmat_CP4,4)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP4 = dN_CP4
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP4(:,:)
dNmat(:,:,:) = dNmat_CP4(:,:,:)
invNmat(:,:) = invNmat_CP4(:,:)
dNmatc(:,:) = dNmatc_CP4(:,:)
!
!
! Element type: CPE6 or CPS6
case('CPE6', 'CPS6')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./6.
!
!
!
!
! Gauss points
GPcoords_CP6 = 0.
GPcoords_CP6(1,:) = (/ 1./6., 1./6. /)
GPcoords_CP6(2,:) = (/ 2./3., 1./6. /)
GPcoords_CP6(3,:) = (/ 1./6., 2./3. /)
!
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 3
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use CP3 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel) = N_CP3
!
! Shape function derivative
dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP3,invNmat_CP3,3)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Assign the center value
dNmatc_CP3 = dN_CP3
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP3(:,:)
dNmat(:,:,:) = dNmat_CP3(:,:,:)
invNmat(:,:) = invNmat_CP3(:,:)
dNmatc(:,:) = dNmatc_CP3(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Number of nodes per element
nnpel = 6
!
! Number of nodes per the sub element
nnpel_sub = 3
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_CP6 = 0.
GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /)
GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /)
GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /)
!
! Local coordinates (in its linear form)
GPcoords_sub_CP3 = 0.
GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /)
GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /)
GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /)
!
!
!
! Use CP6 (quadratic) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(ipt,1:nnpel) = N_CP6
!
! Shape function derivative
dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6
!
end do
!
!
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_CP6(ipt,1)
h = GPcoords_sub_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_CP3(ipt,1)
h = GPcoords_sub_CP3(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel_sub) = N_CP3
!
!
!
end do
!
!
IPmap_CP6=0.
! Identity matrix
do i=1,numpt
IPmap_CP6(i,i)=1.
end do
IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_CP3
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP6,coeff_CP6,6)
!
!
invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Assign the center value
dNmatc_CP6 = dN_CP6
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP6(:,:)
dNmat(:,:,:) = dNmat_CP6(:,:,:)
invNmat(:,:) = invNmat_CP6(:,:)
dNmatc(:,:) = dNmatc_CP6(:,:)
!
!
!
!
!
endif
!
!
!
!
!
! Element type: CPE8 or CPS8
case('CPE8', 'CPS8')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.308641975308642
ipweights(2) = 0.493827160493827
ipweights(3) = 0.308641975308642
ipweights(4) = 0.493827160493827
ipweights(5) = 0.790123456790124
ipweights(6) = 0.493827160493827
ipweights(7) = 0.308641975308642
ipweights(8) = 0.493827160493827
ipweights(9) = 0.308641975308642
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP8 = 0.
GPcoords_CP8(1,:) = (/ -1., -1. /)
GPcoords_CP8(2,:) = (/ 0., -1. /)
GPcoords_CP8(3,:) = (/ 1., -1. /)
GPcoords_CP8(4,:) = (/ -1., 0. /)
GPcoords_CP8(5,:) = (/ 0., 0. /)
GPcoords_CP8(6,:) = (/ 1., 0. /)
GPcoords_CP8(7,:) = (/ -1., 1. /)
GPcoords_CP8(8,:) = (/ 0., 1. /)
GPcoords_CP8(9,:) = (/ 1., 1. /)
GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Use CP4 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP8lin(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Make Nmat a square matrix
NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8lin,coeff_CP8lin,4)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP8lin = dN_CP4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8lin(:,:)
dNmat(:,:,:) = dNmat_CP8lin(:,:,:)
invNmat(:,:) = invNmat_CP8lin(:,:)
dNmatc(:,:) = dNmatc_CP8lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 8
!
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Shape function mapping
Nmat_CP8(ipt,1:nnpel) = N_CP8
!
! Shape function derivative
dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8
!
end do
!
! Make Nmat a square matrix
NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8,coeff_CP8,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Assign the center value
dNmatc_CP8 = dN_CP8
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8(:,:)
dNmat(:,:,:) = dNmat_CP8(:,:,:)
invNmat(:,:) = invNmat_CP8(:,:)
dNmatc(:,:) = dNmatc_CP8(:,:)
!
!
end if
!
!
case('C3D4')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
case('C3D6')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 6
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
case('C3D8R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
! Element type: C3D8 or C3D20R
! Use the same interpolation functions for the reduced element
case('C3D8','C3D20R')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Gauss points
GPcoords_C3D8 = 0.
GPcoords_C3D8(1,:) = (/ -1., -1., -1. /)
GPcoords_C3D8(2,:) = (/ 1., -1., -1. /)
GPcoords_C3D8(3,:) = (/ -1., 1., -1. /)
GPcoords_C3D8(4,:) = (/ 1., 1., -1. /)
GPcoords_C3D8(5,:) = (/ -1., -1., 1. /)
GPcoords_C3D8(6,:) = (/ 1., -1., 1. /)
GPcoords_C3D8(7,:) = (/ -1., 1., 1. /)
GPcoords_C3D8(8,:) = (/ 1., 1., 1. /)
GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.)
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D8(ipt,1)
h = GPcoords_C3D8(ipt,2)
r = GPcoords_C3D8(ipt,3)
!
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
!
!
! Shape function mapping
Nmat_C3D8(ipt,1:nnpel) = N_C3D8
!
!
!
! Shape function derivative
dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8
!
!
end do
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D8,invNmat_C3D8,8)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D8 = dN_C3D8
!
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D8(:,:)
dNmat(:,:,:) = dNmat_C3D8(:,:,:)
invNmat(:,:) = invNmat_C3D8(:,:)
dNmatc(:,:) = dNmatc_C3D8(:,:)
!
!
!
!
!
! Element type: C3D10
case('C3D10')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./4./6.
!
! Gauss points
a = 0.138196601125010
b = 0.585410196624968
!
!
GPcoords_C3D10 = 0.
GPcoords_C3D10(1,:) = (/ a, a, a /)
GPcoords_C3D10(2,:) = (/ b, a, a /)
GPcoords_C3D10(3,:) = (/ a, b, a /)
GPcoords_C3D10(4,:) = (/ a, a, b /)
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Number of nodes per the sub element
nnpel_sub = 0
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use C3D4 (linear) element function
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_C3D4(ipt,1:nnpel) = N_C3D4
!
! Shape function derivative
dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D4,invNmat_C3D4,4)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Assign the center value
dNmatc_C3D4 = dN_C3D4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D4(:,:)
dNmat(:,:,:) = dNmat_C3D4(:,:,:)
invNmat(:,:) = invNmat_C3D4(:,:)
dNmatc(:,:) = dNmatc_C3D4(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 10
!
! Number of nodes per the sub element
nnpel_sub = 4
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D10 = 0.
do i=1,numdim
GPcoords_sub_C3D10(1,i) =
+ 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i))
GPcoords_sub_C3D10(2,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i))
GPcoords_sub_C3D10(3,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(4,i) =
+ 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(5,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i))
GPcoords_sub_C3D10(6,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D4 = 0.
GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /)
GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /)
GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /)
GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /)
GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /)
GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /)
!
!
!
!
!
! Use C3D10 (quadratic) element function
write(*,*) 'Quadratic interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(ipt,1:nnpel) = N_C3D10
!
! Shape function derivative
dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10
!
!
end do
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D10(ipt,1)
h = GPcoords_sub_C3D10(ipt,2)
r = GPcoords_sub_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D4(ipt,1)
h = GPcoords_sub_C3D4(ipt,2)
r = GPcoords_sub_C3D4(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4
!
!
end do
!
!
! Identity matrix
IPmap_C3D10 = 0.
do i=1,numpt
IPmap_C3D10(i,i)=1.
end do
!
IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D4
!
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D10,coeff_C3D10,10)
!
!
!
invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Assign the center value
dNmatc_C3D10 = dN_C3D10
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D10(:,:)
dNmat(:,:,:) = dNmat_C3D10(:,:,:)
invNmat(:,:) = invNmat_C3D10(:,:)
dNmatc(:,:) = dNmatc_C3D10(:,:)
!
!
!
!
!
!
!
!
endif
!
!
!
! Element type: C3D15
case('C3D15')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1./6./3.
!
!
!
! Isoparametric coordinate (r-axis)
a = 0.774596669241483
!
!
GPcoords_C3D15 = 0.
GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /)
GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /)
GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /)
GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /)
GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /)
GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /)
GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /)
GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /)
GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /)
!
GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 6
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
! Use C3D6 (linear) element function
write(*,*) 'Linear interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_C3D6(ipt,1:nnpel) = N_C3D6
!
! Shape function derivative
dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6
!
end do
!
!
NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D6,coeff_C3D6,6)
!
!
invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6))
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Assign the center value
dNmatc_C3D6 = dN_C3D6
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D6(:,:)
dNmat(:,:,:) = dNmat_C3D6(:,:,:)
invNmat(:,:) = invNmat_C3D6(:,:)
dNmatc(:,:) = dNmatc_C3D6(:,:)
!
!
!
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 15
!
! Number of nodes of the sub-element
nnpel_sub = 6
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D15 = 0.
do i=1,numdim
GPcoords_sub_C3D15(1,i) =
+ 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i))
GPcoords_sub_C3D15(2,i) =
+ 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i))
GPcoords_sub_C3D15(3,i) =
+ 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i))
GPcoords_sub_C3D15(4,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i))
GPcoords_sub_C3D15(5,i) =
+ 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i))
GPcoords_sub_C3D15(6,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D6 = 0.
GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /)
GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /)
GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /)
GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /)
GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /)
GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /)
!
!
!
!
!
! Use C3D15 (quadratic) element function
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(ipt,1:nnpel) = N_C3D15
!
! Shape function derivative
dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15
!
!
end do
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D15(ipt,1)
h = GPcoords_sub_C3D15(ipt,2)
r = GPcoords_sub_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15
!
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D6(ipt,1)
h = GPcoords_sub_C3D6(ipt,2)
r = GPcoords_sub_C3D6(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6
!
!
!
end do
!
!
! Identity matrix
IPmap_C3D15=0.
do i=1,numpt
IPmap_C3D15(i,i)=1.
end do
IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D6
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D15,coeff_C3D15,15)
!
!
invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Assign the center value
dNmatc_C3D15 = dN_C3D15
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D15(:,:)
dNmat(:,:,:) = dNmat_C3D15(:,:,:)
invNmat(:,:) = invNmat_C3D15(:,:)
dNmatc(:,:) = dNmatc_C3D15(:,:)
!
!
!
!
!
!
endif
!
!
!
!
!
!
! Element type: C3D20
case('C3D20')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.171467764060357
ipweights(2) = 0.274348422496571
ipweights(3) = 0.171467764060357
ipweights(4) = 0.274348422496571
ipweights(5) = 0.438957475994513
ipweights(6) = 0.274348422496571
ipweights(7) = 0.171467764060357
ipweights(8) = 0.274348422496571
ipweights(9) = 0.171467764060357
ipweights(10) = 0.274348422496571
ipweights(11) = 0.438957475994513
ipweights(12) = 0.274348422496571
ipweights(13) = 0.438957475994513
ipweights(14) = 0.702331961591221
ipweights(15) = 0.438957475994513
ipweights(16) = 0.274348422496571
ipweights(17) = 0.438957475994513
ipweights(18) = 0.274348422496571
ipweights(19) = 0.171467764060357
ipweights(20) = 0.274348422496571
ipweights(21) = 0.171467764060357
ipweights(22) = 0.274348422496571
ipweights(23) = 0.438957475994513
ipweights(24) = 0.274348422496571
ipweights(25) = 0.171467764060357
ipweights(26) = 0.274348422496571
ipweights(27) = 0.171467764060357
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
GPcoords_C3D20 = 0.
GPcoords_C3D20(1,:)= (/ -1., -1., -1. /)
GPcoords_C3D20(2,:)= (/ 0., -1., -1. /)
GPcoords_C3D20(3,:)= (/ 1., -1., -1. /)
GPcoords_C3D20(4,:)= (/ -1., 0., -1. /)
GPcoords_C3D20(5,:)= (/ 0., 0., -1. /)
GPcoords_C3D20(6,:)= (/ 1., 0., -1. /)
GPcoords_C3D20(7,:)= (/ -1., 1., -1. /)
GPcoords_C3D20(8,:)= (/ 0., 1., -1. /)
GPcoords_C3D20(9,:)= (/ 1., 1., -1. /)
GPcoords_C3D20(10,:)= (/ -1., -1., 0. /)
GPcoords_C3D20(11,:)= (/ 0., -1., 0. /)
GPcoords_C3D20(12,:)= (/ 1., -1., 0. /)
GPcoords_C3D20(13,:)= (/ -1., 0., 0. /)
GPcoords_C3D20(14,:)= (/ 0., 0., 0. /)
GPcoords_C3D20(15,:)= (/ 1., 0., 0. /)
GPcoords_C3D20(16,:)= (/ -1., 1., 0. /)
GPcoords_C3D20(17,:)= (/ 0., 1., 0. /)
GPcoords_C3D20(18,:)= (/ 1., 1., 0. /)
GPcoords_C3D20(19,:)= (/ -1., -1., 1. /)
GPcoords_C3D20(20,:)= (/ 0., -1., 1. /)
GPcoords_C3D20(21,:)= (/ 1., -1., 1. /)
GPcoords_C3D20(22,:)= (/ -1., 0., 1. /)
GPcoords_C3D20(23,:)= (/ 0., 0., 1. /)
GPcoords_C3D20(24,:)= (/ 1., 0., 1. /)
GPcoords_C3D20(25,:)= (/ -1., 1., 1. /)
GPcoords_C3D20(26,:)= (/ 0., 1., 1. /)
GPcoords_C3D20(27,:)= (/ 1., 1., 1. /)
GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6)
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 8
!
!
!
!
! Use C3D8 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Shape function mapping
Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8
!
! Shape function derivative
dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20lin =
+ matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_C3D20lin =
+ matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D20lin = dN_C3D8
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20lin(:,:)
dNmat(:,:,:) = dNmat_C3D20lin(:,:,:)
invNmat(:,:) = invNmat_C3D20lin(:,:)
dNmatc(:,:) = dNmatc_C3D20lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 20
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Shape function mapping
Nmat_C3D20(ipt,1:nnpel) = N_C3D20
!
! Shape function derivative
dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20)
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20,coeff_C3D20,20)
!
! Overall mapping to map from the IPs to the nodes
invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20))
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Assign the center value
dNmatc_C3D20 = dN_C3D20
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20(:,:)
dNmat(:,:,:) = dNmat_C3D20(:,:,:)
invNmat(:,:) = invNmat_C3D20(:,:)
dNmatc(:,:) = dNmatc_C3D20(:,:)
!
!
end if
!
!
!
case default
!
call error(2)
!
!
end select
!
!
write(*,*) 'Dimension of the analysis: ', numdim
write(*,*) 'Number of integration points per element: ', numpt
! write(*,*) 'Number of nodes per element: ', nnpel
!
!
!
return
end subroutine feprop
!
!
!
! Find the number of nodes for displacement analysis (not for GND analysis)
subroutine findelementtype(numtens,numpt,eltyp)
implicit none
integer, intent(in) :: numtens
integer, intent(in) :: numpt
character(len=:), allocatable, intent(out) :: eltyp
!
!
! Determine the element type
! Based on the dimension of the problem (numdim=ntens)
!
! Dimension of the problem (2D-plane stress)
if (numtens==3) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPS3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPS4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPS6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPS8'
!
end select
!
! Dimension of the problem (2D - Plane strain)
elseif (numtens==4) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPE3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPE4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPE6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPE8'
!
end select
!
!
! Dimension of the problem (3D)
elseif (numtens==6) then
!
select case(numpt)
!
! 3D - C3D4 / C3D8R / C3D10R
case(1)
!
eltyp = 'C3D4'
!
! 3D - C3D6 / C3D15R
case(2)
!
eltyp = 'C3D6'
!
! 3D - C3D8 / C3D20R
case(8)
!
eltyp = 'C3D8'
!
! 3D - C3D10
case(4)
!
eltyp = 'C3D10'
!
! 3D - C3D15
case(9)
!
eltyp = 'C3D15'
!
! 3D - C3D20
case(27)
!
eltyp = 'C3D20'
!
end select
!
end if
!
write(*,*) 'Element type identified as: ', eltyp
!
return
end subroutine findelementtype
!
!
! Contains the element-by-element initializations
! Done only once at the first run
subroutine initialize_gradientoperators
use globalvariables, only : numel,
+ numdim, numpt, nnpel, gradip2ip, ipweights,
+ ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc
use userinputs, only : gndlinear
use utilities, only: nolapinverse, inv2x2, inv3x3
implicit none
! Gauss point coordinates in sample reference
real(8) :: xIP(numpt,numdim)
! Node point coordinates
real(8) :: xnode(nnpel,numdim)
! Jacobian transpose
real(8) :: JT(numdim,numdim)
! Jacobian inverse transpose
real(8) :: invJT(numdim,numdim)
! Determinant of the inversion
real(8) :: det
! Gradient operator
real(8) :: grad(numdim,nnpel)
! Overall mapping
real(8) :: grad_invN(numdim,numpt)
! Element number and ip number
integer :: iel, ipt
!
!
!
!
! Loop through each element
do iel = 1, numel
!
!
!
! Vectorize element ipcoordinates
xIP = 0.
do ipt = 1, numpt
!
xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim)
!
end do
!
!
!
!
!
xnode = matmul(invNmat,xIP)
!
!
!
!
!
! For each integration point
do ipt = 1, numpt
!
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode)
!
!
!
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! IP domain size
ipdomain(iel,ipt) = det * ipweights(ipt)
!
!
!
! Gradient operator
grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel))
!
!
!
! Overall mapping
grad_invN = matmul(grad,invNmat)
!
!
!
!
! Store
gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
! write(*,*) 'vol: ', sum(ipdomain(iel,:))
! write(*,*) '******************'
!
! For the center of the element
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmatc,xnode)
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! Gradient operator
grad = matmul(invJT,dNmatc)
!
!
! Overall mapping
grad_invN = matmul(grad, invNmat)
!
! Store
gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
!
return
end subroutine initialize_gradientoperators
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE3 or CPS3
subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - g - h
!
N(2) = g
!
N(3) = h
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
!
!
!
return
end subroutine CP3_N_dN
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE4 or CPS4 or CPE8R or CPS8R
subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP4 element
N(1) = (1. - g) * (1. - h) / 4.
!
N(2) = (1. + g) * (1. - h) / 4.
!
N(3) = (1. + g) * (1. + h) / 4.
!
N(4) = (1. - g) * (1. + h) / 4.
!
!
!
!
! Shape function derivatives wrt natural coords for CP4 element
!
! dN_dg
dN(1,1) = -1. * (1. - h) / 4.
!
dN(1,2) = 1. * (1. - h) / 4.
!
dN(1,3) = 1. * (1. + h) / 4.
!
dN(1,4) = -1. * (1. + h) / 4.
!
! dN_dh
dN(2,1) = (1. - g) * -1. / 4.
!
dN(2,2) = (1. + g) * -1. / 4.
!
dN(2,3) = (1. + g) * 1. / 4.
dN(2,4) = (1. - g) * 1. / 4.
!
!
!
!
!
return
end subroutine CP4_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE6 or CPS6
subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP6 element
N(1) = 2. * (0.5 - g - h) * (1. - g - h)
!
N(2) = 2. * g * (g - 0.5)
!
N(3) = 2. * h * (h - 0.5)
!
N(4) = 4. * g * (1. - g - h)
!
N(5) = 4. * g * h
!
N(6) = 4. * h * (1. - g - h)
!
!
!
!
! Shape function derivatives wrt natural coords for C3D4 element
! dN_dg
dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.)
!
dN(1,3) = 0.
!
dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.)
!
dN(1,5) = 4. * (1.) * h
!
dN(1,6) = 4. * h * (-1.)
!
! dN_dh
dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(2,2) = 0.
!
dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.)
!
dN(2,4) = 4. * g * (-1.)
!
dN(2,5) = 4. * g * (1.)
!
dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.)
!
!
!
!
return
end subroutine CP6_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE8 or CPS8
subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP8 element
N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h)
!
N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h)
!
N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h)
!
N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h)
!
N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h)
!
N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g)
!
N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h)
!
N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g)
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP8 element
! dN_dg
dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (-1.)
!
dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
!
dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (1.)
!
dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) +
+ 1./2. * (1. - g) * (1.) * (1. - h)
!
dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.)
!
dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) +
+ 1./2. * (1. - g) * (1.) * (1. + h)
!
dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.)
!
!
!
! dN_dh
dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (1.)
!
dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (-1.)
!
dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.)
!
dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) +
+ 1./2. * (1. - h) * (1.) * (1. + g)
!
dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.)
!
dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) +
+ 1./2. * (1. - h) * (1.) * (1. - g)
!
!
!
!
!
!
return
end subroutine CP8_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D4
subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - h - r - g
!
N(2) = g
!
N(3) = h
!
N(4) = r
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
dN(2,4) = 0.
!
!
! dN_dr
dN(3,1) = -1.
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = 1.
!
!
!
!
!
!
return
end subroutine C3D4_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D6
subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D6 element
N(1) = 1./2.*(1.-g-h)*(1.-r)
!
N(2) = 1./2.*g*(1.-r)
!
N(3) = 1./2.*h*(1.-r)
!
N(4) = 1./2.*(1.-g-h)*(1.+r)
!
N(5) = 1./2.*g*(1.+r)
!
N(6) = 1./2.*h*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = 1./2.*(-1.)*(1.-r)
!
dN(1,2) = 1./2.*(1.)*(1.-r)
!
dN(1,3) = 0.
!
dN(1,4) = 1./2.*(-1.)*(1.+r)
!
dN(1,5) = 1./2.*(1.)*(1.+r)
!
dN(1,6) = 0.
!
!
!
! dN_dh
dN(2,1) = 1./2.*(-1.)*(1.-r)
!
dN(2,2) = 0.
!
dN(2,3) = 1./2.*(1.)*(1.-r)
!
dN(2,4) = 1./2.*(-1.)*(1.+r)
!
dN(2,5) = 0.
!
dN(2,6) = 1./2.*(1.)*(1.+r)
!
!
!
! dN_dr
dN(3,1) = 1./2.*(1.-g-h)*(-1.)
!
dN(3,2) = 1./2.*g*(-1.)
!
dN(3,3) = 1./2.*h*(-1.)
!
dN(3,4) = 1./2.*(1.-g-h)*(1.)
!
dN(3,5) = 1./2.*g*(1.)
!
dN(3,6) = 1./2.*h*(1.)
!
!
!
!
!
!
return
end subroutine C3D6_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D8
subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D8 element
N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r)
!
N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r)
!
N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r)
!
N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r)
!
N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r)
!
N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r)
!
N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r)
!
N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D8 element
! dN_dg
dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r)
!
dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r)
!
dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r)
!
dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r)
!
dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r)
!
dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r)
!
dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r)
!
dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r)
!
!
!
!
! dN_dh
dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r)
!
dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r)
!
dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r)
!
dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r)
!
dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r)
!
dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r)
!
dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r)
!
dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r)
!
!
! dN_dr
dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.)
!
dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.)
!
dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.)
!
dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.)
!
dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.)
!
dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.)
!
dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.)
!
dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.)
!
!
!
!
!
!
return
end subroutine C3D8_N_dN
!
!
!
!
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D10
subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D10 element
N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r)
!
N(2) = (2.*g - 1.)*g
!
N(3) = (2.*h - 1.)*h
!
N(4) = (2.*r - 1.)*r
!
N(5) = 4.*(1.-g-h-r)*g
!
N(6) = 4.*g*h
!
N(7) = 4.*(1.-g-h-r)*h
!
N(8) = 4.*(1.-g-h-r)*r
!
N(9) = 4.*g*r
!
N(10) = 4.*h*r
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D10 element
! dN_dg
dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.)
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.)
!
dN(1,6) = 4.*h
!
dN(1,7) = 4.*(-1.)*h
!
dN(1,8) = 4.*(-1.)*r
!
dN(1,9) = 4.*(1.)*r
!
dN(1,10) = 0.
!
!
!
!
! dN_dh
dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(2,2) = 0.
!
dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.)
!
dN(2,4) = 0.
!
dN(2,5) = 4.*(-1.)*g
!
dN(2,6) = 4.*g*(1.)
!
dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.)
!
dN(2,8) = 4.*(-1.)*r
!
dN(2,9) = 0.
!
dN(2,10) = 4.*(1.)*r
!
!
!
! dN_dr
dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.)
!
dN(3,5) = 4.*(-1.)*g
!
dN(3,6) = 0.
!
dN(3,7) = 4.*(-1.)*h
!
dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.)
!
dN(3,9) = 4.*g*(1.)
!
dN(3,10) = 4.*h*(1.)
!
!
!
!
!
!
!
return
end subroutine C3D10_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D15
subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D15 element
N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2))
!
N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2))
!
N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2))
!
N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2))
!
N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2))
!
N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2))
!
N(7) = 2.*(1.-g-h)*g*(1.-r)
!
N(8) = 2.*g*h*(1.-r)
!
N(9) = 2.*h*(1.-g-h)*(1.-r)
!
N(10) = 2.*(1.-g-h)*g*(1.+r)
!
N(11) = 2.*g*h*(1.+r)
!
N(12) = 2.*h*(1.-g-h)*(1.+r)
!
N(13) = (1.-g-h)*(1.-r**2)
!
N(14) = g*(1.-r**2)
!
N(15) = h*(1.-r**2)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D15 element
! dN_dg
dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2.
!
dN(1,3) = 0.
!
dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2.
!
dN(1,6) = 0.
!
dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.)
!
dN(1,8) = -2.*h*(r - 1.)
!
dN(1,9) = 2.*h*(r - 1.)
!
dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.)
!
dN(1,11) = 2.*h*(r + 1.)
!
dN(1,12) = -2.*h*(r + 1.)
!
dN(1,13) = r**2 - 1.
!
dN(1,14) = 1. - r**2
!
dN(1,15) = 0.
!
!
!
! dN_dh
dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(2,2) = 0.
!
dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2.
!
dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(2,5) = 0.
!
dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2.
!
dN(2,7) = 2.*g*(r - 1.)
!
dN(2,8) = -2.*g*(r - 1.)
!
dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.)
!
dN(2,10) = -2.*g*(r + 1.)
!
dN(2,11) = 2.*g*(r + 1.)
!
dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.)
!
dN(2,13) = r**2 - 1.
!
dN(2,14) = 0.
!
dN(2,15) = 1. - r**2
!
!
!
! dN_dr
dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2.
!
dN(3,2) = (g*(2.*r - 2.*g + 1.))/2.
!
dN(3,3) = (h*(2.*r - 2.*h + 1.))/2.
!
dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2.
!
dN(3,5) = (g*(2.*g + 2.*r - 1.))/2.
!
dN(3,6) = (h*(2.*h + 2.*r - 1.))/2.
!
dN(3,7) = g*(2.*g + 2.*h - 2.)
!
dN(3,8) = -2.*g*h
!
dN(3,9) = 2.*h*(g + h - 1.)
!
dN(3,10) = -g*(2.*g + 2.*h - 2.)
!
dN(3,11) = 2.*g*h
!
dN(3,12) = -2.*h*(g + h - 1.)
!
dN(3,13) = 2.*r*(g + h - 1.)
!
dN(3,14) = -2.*g*r
!
dN(3,15) = -2.*h*r
!
!
!
!
!
!
!
!
return
end subroutine C3D15_N_dN
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D20
subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D20 element
N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.)
!
N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.)
!
N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.)
!
N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.)
!
N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.)
!
N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.)
!
N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.)
!
N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.)
!
N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.)
!
N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.)
!
N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.)
!
N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D20 element
! dN_dg
dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (h - 1.)*(r - 1.)*(g + h + r + 2.)/8.
!
dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (h - 1.)*(r - 1.)*(h - g + r + 2.)/8.
!
dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g + h - r - 2.)/8.
!
dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g - h + r + 2.)/8.
!
dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g + h - r + 2.)/8.
!
dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g - h + r - 2.)/8.
!
dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g + h + r - 2.)/8.
!
dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g - h - r + 2.)/8.
!
dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) -
+ (g + 1.)*(h - 1.)*(r - 1.)/4.
!
dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.)
dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.)
!
dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
!
!
! dN_dh
dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.)
!
dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.)
!
dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.)
!
dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.)
!
dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.)
!
dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.)
!
dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.)
!
dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) -
+ (g - 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.)
dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
!
!
! dN_dr
dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.)
!
dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.)
!
dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.)
!
dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.)
!
dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.)
!
dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.)
!
dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.)
!
dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) -
+ (g - 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
!
!
!
!
!
!
!
return
end subroutine C3D20_N_dN
!
!
!
!
!
!
!
!
!
!
end module meshprop
================================================
FILE: Example - Single crystal with material vox file/slip.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slip
implicit none
contains
!
!
subroutine sinhslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,
+ dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
use errors, only: error
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
! variables used within this subroutine
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
real(8) :: abstau, signtau
!
!
!
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
!
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
!
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
!
Pmat=0.; Lp = 0.; Dp = 0.
! Loop through slip systems
do is = 1,nslip
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
! Outer multipler "alpha" calculation:
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
! THESE CHECKS SHALL BE PLACED TO INITIALIZATION!
!! Check for zero activation volume
! if (AV == 0.) then
! call error(8)
! end if
!
!
!
!
! Inner multiplier "beta" calculation:
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
!
beta = AV/KB/T
!
!
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! Correction by C. Hardie - 26.05.2022
! This correction needs to be done if activation volume
! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then!
if (AV0 /= 0.0) then
! Corrected by A. Pechero - 23.02.2023
! same burgers magnitude for 1st-12th slip systems
! changes only if slip system is greater than 12th
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
end if
!
! This is critical threshold
if (abstau >= tauc(is)) then
!
! slip rate
gammadot(is) = alpha*
+ sinh(beta*(abstau-tauc(is)))*signtau
!
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau-tauc(is)))
!
!
dgammadot_dtauc(is) = -alpha*beta*
+ cosh(beta*(abstau-tauc(is)))*signtau
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
!
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
!
end if
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine sinhslip
!
!
!
!
!
!
!
!
!
!
! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal
! plasticity finite-element models on the simulation of nickel alloys,
! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951
!
subroutine doubleexpslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! RSS/CRSS ratio
ratio=abstau/tauc(is)
!
! Avoid negative values before elevating to power q
if (ratio >= 1.0) then
!
gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature))
!
! Standard case
else
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
! Strain rate due to thermally activated glide (rate dependent plasticity)
gammadot(is) = signtau*gammadot0*
+ exp(-(DeltaF/KB/T)*(1.-ratio**p)**q)
!
!
!
endif
!
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**(p-1.)
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) )
dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**p*signtau
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine doubleexpslip
!
!
!
!
!
!
!
!
!
!
!
!
subroutine powerslip(Schmid_0,
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use utilities, only : gmatvec6
implicit none
! Schmid tensor at the intermediate config. (or undeformed)
real(8), intent(in) :: Schmid_0(nslip,3,3)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! Variables used within this subroutine
integer :: is, i, j
real(8) :: gammadot0, power_n, constant_n, slope_n, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
ratio = abstau / tauc(is)
!
!
gammadot(is) = gammadot0*ratio**power_n*signtau
!
!
!
dgammadot_dtau(is) = gammadot0*power_n
+ /tauc(is)*ratio**(power_n-1.0)
!
!
dgammadot_dtauc(is) = -gammadot0*power_n
+ /tauc(is)*ratio**(power_n)*signtau
!
!
Pmat = Pmat +
+ dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:)
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid_0(is,:,:)
!
! Update plastic velocity gradient
Dp = Dp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
! Find plastic flow direction
Dp = (Dp + transpose(Dp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
end subroutine powerslip
!
!
!
!
!
!
!
!
end module slip
================================================
FILE: Example - Single crystal with material vox file/slipreverse.f
================================================
! Oct. 6th, 2023
! Chris Hardie
! Reverse Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slipreverse
implicit none
contains
!
!
!
!
subroutine doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Pmat,absgammadot,gammadot,
+ dtau_dgammadot,dgammadot_dtau)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Absolute value of slip
real(8), intent(in) :: absgammadot(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! slip rates
real(8), intent(in) :: gammadot(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! Value of RSS
real(8), intent(inout) :: tau(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! absolute value of RSS
real(8), intent(out) :: abstau(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
! RSS/CRSS ratio
xx=abstau(is)/tauc(is)
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF
!
abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p),
+ tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) = (KB*T*tauc(is)/
+ (absgammadot(is)*DeltaF*q*p))*
+ (1-u**(1/q))**((1-p)/p)*u**((1-q)/q)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.)
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
!
return
end subroutine doubleexpslipreverse
!
!
!
!
subroutine powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot, gammadot,
+ dtau_dgammadot,
+ dgammadot_dtau, Pmat)
!
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! variables used within this subroutine
real(8) :: gammadot0, constant_n, slope_n, power_n
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
! This is critical threshold
if (((abstau(is) >= tauc(is)).OR.
+ (absgammadot(is) .GT. 1.0e-6))) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) =
+ (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1)
!
abstau(is)=
+ max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) =
+ (tauc(is)/power_n*gammadot0)*
+ (absgammadot(is)/gammadot0)**((1-power_n)/power_n)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
!
end do
!
!
return
end subroutine powerslipreverse
!
!
!
!
!
!
!
subroutine sinhslipreverse(
+ Schmid, SchmidxSchmid, signtau,
+ abstau,tau, X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot,gammadot,
+ dtau_dgammadot, dgammadot_dtau, Pmat)
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8) :: dgammadot_dtau(nslip)
! variables used within this subroutine
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
! Unit conversion factor for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
Pmat = 0.
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
!
! alpha calculation
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
!
!
! beta calculation
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
beta = AV/KB/T
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! same burgers magnitude for first 1-6 and 25-30
! change only 7-24
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
! This is critical threshold
if (((abstau(is) >= tauc(is))
+ .AND. (xtau_norm(is) .GT. 0.0))
+ .OR. (absgammadot(is) .GT. 1.0e-6)) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau(is)-tauc(is)))
abstau(is)=tauc(is)+
+ (1/beta)*asinh(absgammadot(is)/alpha)
!
tau(is)=abstau(is)*signtau(is)
!
!
dtau_dgammadot(is,is) = 1/(alpha*beta*
+ sqrt(absgammadot(is)**2*alpha**-2+1))
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
end do
!
!
return
end subroutine sinhslipreverse
!
!
!
!
end module slipreverse
================================================
FILE: Example - Single crystal with material vox file/straingradients.f
================================================
! Jan. 1st, 2023
! Eralp Demir
!
module straingradients
implicit none
!
contains
!
!
!
!
!
! GND model-1
! GND calculation using curl of (Fp) together with L2 approximation
! Cumulative (total) calculation of GNDs
! Shutting down non-active slip systems followed by singular value decompostion
! Proposed by Chris Hardie
subroutine gndmodel1
use userinputs, only : maxnslip,
+ gndhomogenization, gndthreshold
use globalvariables, only : numel, numdim, numpt, nnpel,
+ materialid, numslip_all, numscrew_all, screw_all,
+ slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip,
+ eijk, I3, statev_curvature, statev_Lambda, statev_gammasum,
+ statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t
use utilities, only: matvec9
implicit none
! Local variables
integer matid, nslip, nscrew
! Some variables are allotable since material type can vary hence
! the NUMBER OF SLIP SYSTEMS can alter within the mesh
real(8) :: burgerv(maxnslip)
real(8) :: gammasum(maxnslip)
integer :: screw(maxnslip)
real(8) :: slip2screw(maxnslip,maxnslip)
real(8) :: dirc_0(maxnslip,3)
real(8) :: trac_0(maxnslip,3)
!
real(8) :: dirs(maxnslip,3)
real(8) :: tras(maxnslip*2,3)
real(8) :: Bmat(maxnslip*2,9)
real(8) :: rhoGND(maxnslip*2)
real(8) :: drhoGND(maxnslip*2)
!
real(8) :: grad_invN(3,numpt), grad(3,3,3)
real(8) :: Lambda(3,3), sum, Lambda_vec(9)
real(8) :: kappa(3,3), kappa_vec(9), trace
!
real(8) :: Fp_ip(numpt,3,3)
real(8) :: gmatinv(3,3)
!
integer :: i, j, k, l
integer :: ie, ip, is
!
!
!
!
! Loop through the elements
do ie=1,numel
!
! Reset arrays
burgerv=0.; screw=0
dirc_0=0.; trac_0=0.
dirs=0.; tras=0.
slip2screw=0.
!
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw(1:nscrew) = screw_all(matid,1:nscrew)
!
! Slip to screw mapping
slip2screw(1:nscrew,1:nslip) =
+ slip2screw_all(matid,1:nscrew,1:nslip)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! undeformed slip direction
dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3)
!
! undeformed line direction
trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3)
!
!
! Store Fp for each IP
! Plastic part of the deformation gradient
Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3)
!
!
! Calculate the gradient of Fp
! Calculate the gradients using gradient operator
do ip = 1, numpt
!
!
! Reset arrays
Bmat=0.; rhoGND=0.; gammasum=0.
!
! Crystal to sample transformation matrix
gmatinv = statev_gmatinv_0(ie,ip,:,:)
!
!
! Slip rate per slip system
gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip)
!
!
do is = 1, nslip
! Transform slip directions to sample reference
dirs(is,:) = matmul(gmatinv, dirc_0(is,:))
!
! Transform line directions to sample reference
tras(is,:) = matmul(gmatinv, trac_0(is,:))
!
end do
!
!
! Calculate Bmatrix - using singular value decomposition
! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611.
call calculateBmatPINV(nslip,nscrew,
+ screw(1:nscrew), slip2screw(1:nscrew,1:nslip),
+ dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip),
+ gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9))
!
!
! Use gradients per integration point
if (gndhomogenization == 0) then
!
grad_invN = gradip2ip(ie,ip,:,:)
!
! Use the gradient at the element center
else
!
grad_invN = gradip2ip(ie,numpt+1,:,:)
!
end if
!
!
!
!
! grad(k,i,j) = Fp(i,j,k)
do k = 1,3
do j = 1,3
do i = 1,3
grad(k,i,j) =
+ dot_product(grad_invN(k,:),Fp_ip(:,i,j))
end do
end do
end do
!
!
! calculate curl
! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE
! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i)
! index "i" refers to the gradient direction
do k = 1,3
do l = 1,3
sum = 0.
do i = 1, 3
do j = 1, 3
sum = sum - eijk(i,j,k)*grad(i,l,j)
!! earlier version (no "-" sign)
! sum = sum + eijk(i,j,k)*grad(i,l,j)
end do
end do
Lambda(l,k) = sum
end do
end do
!
! Vectorize the incompatibility
call matvec9(Lambda,Lambda_vec)
!
!
! Assign the Incompatibility
statev_Lambda(ie,ip,:) = Lambda_vec
!
!
! Trace
trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3)
!
! Calculate curvature (negative transpose + trace term)
kappa = -transpose(Lambda) + I3 * trace / 2.
!
! Convert curvature to vector
call matvec9(kappa,kappa_vec)
!
!
! Assign curvature
statev_curvature(ie,ip,1:9) = kappa_vec(1:9)
!
!
!
!
! Reset arrays
rhoGND=0.; drhoGND=0.
!
! Compute the dislocation densities using L2 minimization
rhoGND(1:nslip+nscrew) =
+ matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec)
!
!
! Calculate the increment of GNDs
drhoGND(1:nslip+nscrew) =
+ rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew)
!
!
! Check for a threshold
do is = 1, nslip+nscrew
if (abs(drhoGND(is))nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
! L2 solution by KKT condition
! Assign zero initially
KKTmat = 0.
! Assign the identity part
do i = 1, nslip+nscrew
KKTmat(i,i)=2.
end do
!
! Assign A^T - upper right part
KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) =
+ transpose(Amat)
!
! Assign A - lower left part
KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) =
+ Amat
!
! Take the inverse
call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9)
!
! Set to zero if not invertible
if(any(BmatKKT /= BmatKKT)) then
! Set the outputs to zero initially
BmatKKT = 0.
! error message in .dat file
call error(10)
end if
!
!
!
!
!
!
return
end subroutine calculateBmatKKT
!
!
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv,
+ Bmat)
use utilities, only : nolapinverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: AmatAmatT(9,9)
real(8) :: invAmatAmatT(9,9)
real(8) :: s(3), l(3), b
integer :: i, j, is
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
!
!
!
!
! Other solution (former method)
! -----------------------------------------------
! This is preserved to check its validity
! Right pseudo inverse is used
! This is exactly the same as the inversion by singular value decomposition
! Compute the L2 coefficient
AmatAmatT = matmul(Amat,transpose(Amat))
!
! Take the inverse
call nolapinverse(AmatAmatT,invAmatAmatT,9)
!
!
! Compute Bmat
Bmat = matmul(transpose(Amat),invAmatAmatT)
!
! Set to zero if not invertible
if(any(Bmat /= Bmat)) then
! Set the outputs to zero initially
Bmat = 0.
! error message in .dat file
call error(10)
end if
!
!
!
return
end subroutine calculateBmat
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw,
+ dirs,tras,burgerv,gammadot,BmatPINV)
use userinputs, only: slipthreshold
use utilities, only: svdgeninverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip to screw mapping
real(8), dimension(nscrew,nslip), intent(in) :: slip2screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Cumulative slip per slip system
real(8), dimension(nslip), intent(in) :: gammadot
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: gdot_screw(nscrew)
! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew)
! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew)
real(8) :: s(3), l(3), b
integer :: i, j, is, err
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
end do
!
!
! Sum slip on each system sharing common screw types
gdot_screw= matmul(slip2screw,gammadot)
!
!
! Shut down the slip systems
! that have a cumulative slip
! less than 10^-10
! For edge type of dislocations
do is = 1, nslip
!
if (abs(gammadot(is)) cubicslipystem flag
! material-08: zirconium / hcp / phase-3
! material-09: berylium / hcp / phase-3 (not ready yet)
! material-10: alpha-uranium / alphauranium / phase-4
! material-11: copper / UKAEA / Vikram Phalke
! material-12: CuCrZr / UKAEA / Vikram Phalke
!
!
!
! **********************************************
! ** MATERIALPARAMETERS sets the material **
! ** constants for elasticity and plasticity **
! **********************************************
subroutine materialparam(imat,temperature,
+ iphase,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,rhofor_0,rhosub_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
use errors, only : error
use userinputs, only : maxnslip, maxnparam
implicit none
!
! material id
integer, intent(in) :: imat
!
!
! current temperature in Kelvins
real(8), intent(in) :: temperature
!
! phase id
! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium
integer, intent(out) :: iphase
!
! number of slip systems
integer, intent(out) :: nslip
!
! number of screw systems
integer, intent(out) :: nscrew
!
! c/a ratio for hcp crystals
real(8), intent(out) :: caratio
!
! cubic slip for fcc superalloys
integer, intent(out) :: cubicslip
!
! elastic stiffness matrix in the crystal reference frame
real(8), intent(out) :: Cc(6,6)
!
! shear modulus for Taylor's dislocation law
real(8), intent(out) :: G12
!
! Poisson's ratio
real(8), intent(out) :: v12
!
! geometric factor for obstacle strength
real(8), intent(out) :: gf
!
! thermal eigenstrain to model thermal expansion
real(8), intent(out) :: alphamat(3,3)
!
! burgers vectors
real(8), intent(out) :: burgerv(maxnslip)
!
! critical resolved shear stress of slip systems
real(8), intent(out) :: tauc_0(maxnslip)
!
! initial ssd dislocation density
real(8), intent(out) :: rho_0(maxnslip)
!
! initial forest dislocation density
real(8), intent(out) :: rhofor_0
!
! initial substructure dislocation density
real(8), intent(out) :: rhosub_0
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, intent(out) :: slipmodel
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: slipparam(maxnparam)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K]
!
!
! Creep model identifier
! 0: no creep
! 1: exponential creep law
! Default value is set to 0
integer, intent(out) :: creepmodel
! Creep parameters
! Array size adjustable
real(8), intent(out) :: creepparam(maxnparam)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Voce type hardening
! 2: Linear hardening
! 3: Kocks-Mecking hardening
! 4: Kocks-Mecking hardening with substructure
! Default value is set to 0
integer, intent(out) :: hardeningmodel
! Hardening parameters
! Array size adjustable
real(8), intent(out) :: hardeningparam(maxnparam)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, intent(out) :: irradiationmodel
! Irradiation model parameters
! Array size adjustable
real(8), intent(out) :: irradiationparam(maxnparam)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(out) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(out) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8), intent(out) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8), intent(out) :: hintmat2(maxnslip,maxnslip)
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: backstressparam(maxnparam)
!
! burgers vector scalars
real(8) :: burger1, burger2
!
! elastic constants scalars
real(8) :: e1, e2, e3, g13, v13
real(8) :: g23, v23, v21, v31, v32
!
! critical resolved shear stress
real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5
!
! thermal expansion coefficients
real(8) :: alpha1, alpha2, alpha3
!
! temperature in celsius
real(8) :: tcelsius
!
real(8) :: C11, C12, C44, cst
!
! local variable for identity martrix
real(8) :: kdelta(maxnslip,maxnslip), q1, q2
!
integer :: i, j, k, is, js
!
!
!
! Set potentially unassigned parameters to zero
! Slip parameters
slipparam = 0.
! Creep parameters
creepparam = 0.
! Hardening parameters
hardeningparam = 0.
! Irradiation parameters
irradiationparam = 0.
! Backstress parameters
backstressparam = 0.
!
!
! Interaction matrices
! Initially set all to zero
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
!
!
!
! Temperature in Celcius
tcelsius = temperature - 273.15
!
!
!
!
!
!
!
!
!
! select crystal type
select case(imat)
!
! custom material - bcc (i.e. ferrite)
! no temperature dependence
case(1)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy
slipparam(5) = 4.646312d-20
! nu0 - attempt frequency
slipparam(6) = 1.0d+11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! Activation volume (factor of Burgers vector^3)
slipparam(8) = 1.
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 60.
! xtauc1 = 45.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! custom material - fcc (i.e. copper)
! no temperature dependence
case(2)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 3
!
! copper
! Slip model parameters
slipparam(1) = 1.0d-3
! rate sensitivity exponent
! slipparam(2) = 83.333
slipparam(2) = 20.
!
!! Inverse slip test parameters
!! Slip model parameters
! slipparam(1) = 1.0d-9
!! rate sensitivity exponent
! slipparam(2) = 13.
!
!! steel
!! Slip model parameters
! slipparam(1) = 1.0d-3
!! rate sensitivity exponent
! slipparam(2) = 7.143
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
!! steel
! xtauc1 = 32.
!
! Copper
xtauc1 = 16.
!
!! Inverse slip test parameter
! xtauc1 = 32.
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
! Example elastic modulus values
! **********************************************************
!
! copper
! "Texture and Anisotropy",
! Cambridge University Press, 1998, page 300
! C11=168.0d3
! C12=121.4d3
! C44=75.4d3
!
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=166.1d3
! C12=199.0d3 wrong! correct value: 119.0d3
! C44=75.6d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=168.3d3
! C12=122.1d3
! C44=75.7d3
!
! aluminum
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=107.3d3
! C12=60.9d3
! C44=28.3d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=106.75d3
! C12=60.41d3
! C44=28.34d3
!
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=106.43d3
! C12=60.35d3
! C44=28.21d3
!
! steel-austenite
! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005
! page 1765, Eq. (37)
! C11=268.5d3
! C12=156.d3
! C44=136.d3
!
! steel
! C11=204.6d3
! C12=137.7d3
! C44=126.6d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 1
!
!! Kocks-Mecking hardening with substructure evolution
!! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!!
!! hardening model
! hardeningmodel = 4
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!! q - substructure
! hardeningparam(7) = 4.
!! f - substructure
! hardeningparam(8) = 20.
!! ksub - substructure
! hardeningparam(9) = 0.086
!
!
!! Inverse slip test parameter
! hardeningmodel = 0
!
!
! copper
! Hardening rate - h0
hardeningparam(1)=250.
! Saturation strength for slip - ss
hardeningparam(2)=190.
! Hardening exponent - a
hardeningparam(3)=2.5
! Latent hardening coefficient - q
hardeningparam(4)=1.4
!
!
!! steel
!! Hardening rate - h0
! hardeningparam(1)=217.8
!! Saturation strength for slip - ss
! hardeningparam(2)=257.
!! Hardening exponent - a
! hardeningparam(3)=2.5
!! Latent hardening coefficient - q
! hardeningparam(4)=1.1
!
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
!!
! Backstress parameter
backstressparam(1) = 0.25
!
! custom material - hcp (i.e. zirconium)
! no temperature dependence
case(3)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! fraction of mobile dislocations
slipparam(3) = 1.
! reference mobile dislocations (1/micrometer^2)
slipparam(4) = 0.01
! activation energy for slip (J)
slipparam(5) = 5.127d-20
! attempt frequency
slipparam(6) = 1.d11
! scaling for jump distance
slipparam(7) = 1.
! activation volume
slipparam(8) = 20.93
!
!
!
! Geometric factor (0.1-0.5)
gf = 0.22364
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 30
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 10.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 3.2d-4
burger2 = 6.0d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 98.32d3
e3 = 123.28d3
g12 = 32.01d3
v12 = 0.40
v13 = 0.24
!
! crss [MPa]
xtauc1 = 187.7 ! basal
xtauc2 = 140.8 ! prismatic
xtauc3 = 140.8 ! pyramidal
xtauc4 = 489.8 ! pyramidal-1
xtauc5 = 2449.1 ! pyramidal-2
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g13 = e3/(1.+v13)/2.
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:30) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc3
tauc_0(13:24) = xtauc4
tauc_0(25:30) = xtauc5
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
! linear hardening
hardeningmodel = 2
! hardening parameter (1/micrometer^2)
hardeningparam(1) = 2600.
!
! irradiation model
irradiationmodel = 2
! Irradiation parameters
! Number of different types of defects
irradiationparam(1) = 3.
! Number density of defects (1/micrometer^3)
irradiationparam(2:4) = 2.033d+4
! size of defects (micrometer)
irradiationparam(5:7) = 1.4d-3
! defect vectors (crystallographic directions)
irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /)
! Strength interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(11) = 1.25
! when a not equals 0
irradiationparam(12) = 1.875
! Hardening (Softening) interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(13) = 0.5
! when a not equals 0
irradiationparam(14) = 0.
!
!
!
!
!
! tungsten - bcc
case(4)
!
! Phase id
iphase = 1
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Burgers vectors [micrometers]
burger1 = 2.74d-4
!
! Slip model parameters
! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.0159
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy to overcome Pierls barrier
slipparam(5) = 3.524788e-20
! nu0 - attempt frequency
slipparam(6) = 1.0d11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! AV0
slipparam(8) = 0.
!
! Geometric factor (0.1-0.5)
gf = 0.1
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 4
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 360.0 ! 900 MPa in the reference
!
! elastic constants [MPa]
e1 = 421d3
g12 = 164.4d3
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 2
hardeningparam(1) = 1000.
!
! irradiation model
irradiationmodel = 1
! irradiation parameters
! initial strength
irradiationparam(1) = 750.
! solute strength saturation strain
irradiationparam(2) = 0.025
! factor for mobile density
irradiationparam(3) = 3.457d-2
!
!
!
!
! copper - fcc
case(5)
!
! Phase id
iphase = 2
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.02
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 6
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 20.0
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! Burgers vectors [micrometers]
burger1 = 2.55d-4
!
! elastic constants [MPa]
e1 = 66.69d3
v12 = 0.4189
g12 = 75.4d3
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! thermal expansion coefficients
alpha1 = 13.0d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
burgerv(1:nslip)=burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
!
! hardening model
hardeningmodel = 0
!
!
! irradiation model
irradiationmodel = 0
!
!
!
! carbide - fcc
case(6)
!
! Phase id
iphase = 2
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d-3
! Rate sensitivity exponent
slipparam(2) = 50
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 2300.0
!
! Burgers vectors [micrometers]
burger1 = 3.5072d-4
!
! elastic constants [MPa]
e1 = 207.0d4
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 4.5d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
! elastic constants based on crystal symmetry
e3 = e1
e2 = e1
v13 = v12
v23 = v12
g12 = e1/(2.0*(1.0+v12))
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
!
! CMSX-4 - fcc + cubic
case(7)
!
! Phase id
iphase = 2
!
! Slip model
! Double exponent law
slipmodel = 2
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d7
! Inner exponent
slipparam(2) = 0.78
! Outer exponent
slipparam(3) = 1.15
! Activation energy for octahedral slip (J)
slipparam(4) = 9.39d-19
! Activation energy for cubic slip (J)
slipparam(5) = 1.17d-18
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! Screw systems
nscrew = 6
!
!
!
! number of slip systems
if (cubicslip == 0) then
nslip = 12
elseif (cubicslip == 1) then
nslip = 18
else
call error(3)
end if
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! crss [MPa]
if (tcelsius <= 850.0) then ! temperature in celsius
!
tauc_0=-0.000000001051*tcelsius**4 +
+ 0.000001644382*tcelsius**3 -
+ 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius +
+ 446.547978926622
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.000000001077*tcelsius**4 +
+ 0.000001567820*tcelsius**3 -
+ 0.000686532147*tcelsius**2 -
+ 0.074981918833*tcelsius +
+ 571.706771689334
!
end if
!
else
!
tauc_0=-1.1707*tcelsius + 1478.9
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.9097*tcelsius + 1183
!
end if
!
end if ! end temperature check
!
! tcelsius dependent stiffness constants [MPa]
if (tcelsius <= 800.0) then ! celsius units
!
c11=-40.841*tcelsius+251300
c12=-14.269*tcelsius+160965
!
else
!
c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0
c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 -
+ 1537.5*tcelsius+716000
!
end if ! end temperature check
!
g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 -
+ 38.3179*tcelsius+129864
!
e1 = (c11-c12)*(c11+2*c12)/(c11+c12)
v12 = e1*c12/((c11-c12)*(c11+2*c12))
!
! temperature dependent thermal expansion coefficient
alpha1 = 9.119d-9*tcelsius +1.0975d-5
!
! Eralp: Burgers vector was not defined for this
burger1=2.56d-4
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 1
!
! hardening model
hardeningmodel = 0
!
! creep parameters
! reference rate for creep (1/s)
creepparam(1) = 4.0d+8
! stress multiplier for creep (1/MPa)
creepparam(2) = 3.2d-2
! activation energy for creep (J/mol)
creepparam(3) = 460000.
! reference rate for damage (1/s)
creepparam(4) = 6.0d6
! stress multiplier for damage (1/MPa)
creepparam(5) = -5.0d-8
! activation energy for damage (J/mol)
creepparam(6) = 340000.
!
! irradiation model
irradiationmodel = 0
!
!
! zirconium - hcp
case(8)
!
! Phase id
iphase = 3
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 15.2 ! basal
xtauc2 = 67.7 ! prismatic
xtauc4 = 2000.0 ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Material constants by Alvaro Martinez Pechero
! Berilyum - hcp
case(9)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 3
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 20.2 ! basal
xtauc2 = 88.7 ! prismatic
xtauc4 = 188. ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger1
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
! alpha-uranium - alphauranium
case(10)
!
! Phase id
iphase = 4
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! reference strain rate
slipparam(1) = 1.0d-3
! rate sensitivity exponent
slipparam(2) = 20.
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 8
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burgerv(1:2) = 2.85d-4
burgerv(3:4) = 6.51d-4
burgerv(5:8) = 11.85d-4
!
! constant factor tau_0^alpha for crss [MPa]
! calhoun 2013 values
! with temperature dependence as in zecevic 2016
! added after hardening is included
tauc_0(1) = 24.5
tauc_0(2) = 85.5
tauc_0(3) = 166.5
tauc_0(4) = 166.5
tauc_0(5) = 235.0
tauc_0(6) = 235.0
tauc_0(7) = 235.0
tauc_0(8) = 235.0
!
!
!
! elastic moduli [MPa] and poissons ratios
! see prs literature review by philip earp
! short crack propagation in uranium, an anisotropic polycrystalline metal
! temperature dependence according to daniel 1971
e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0))
e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0))
e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0))
v12 = 0.242363
v13 = -0.016293
v23 = 0.387816
g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0))
g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0))
g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0))
!
! define thermal expansion coefficients as a function of temperature
! lloyd, barrett, 1966
! thermal expansion of alpha uranium
! journal of nuclear materials 18 (1966) 55-59
alpha1 = 24.22d-6 - 9.83d-9 * temperature +
+ 46.02d-12 * temperature * temperature
alpha2 = 3.07d-6 + 3.47d-9 * temperature -
+ 38.45d-12 * temperature * temperature
alpha3 = 8.72d-6 + 37.04d-9 * temperature +
+ 9.08d-12 * temperature * temperature
!
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
! UKAEA - Vikram Phalke
! copper - fcc
! no temperature dependence
case(11)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! Copper
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 5
!
!
!
!
!
! copper
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! UKAEA - Vikram Phalke
! CuCrZr - fcc
! no temperature dependence
case(12)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density [1/micrometer^2]
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! CuCrZr
xtauc1 = 84.6
!
!
! Burgers vectors [micrometer]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model (KM with precipitates)
hardeningmodel = 5
!
!
!
!
!
! CuCrZr
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
! Parameters related to precipitate strengthening
! Geometric/Strength factor for precipitates
hardeningparam(5)=0.08
! Number density of precipitates [1/micrometer^3]
hardeningparam(6)=1.76d6
! Particle diameter [micrometer]
hardeningparam(7)=3.2d-3
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
!
case default
!
call error(1)
!
end select
!
! *** set up elastic stiffness matrix in lattice system ***
! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11
! however, the voigt notation in abaqus for strain and stress vectors
! has the following order:
! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23)
! Calculate the remaining Poisson's ratios
v21 = e2/e1*v12
v31 = e3/e1*v13
v32 = e3/e2*v23
!
! constant as a factor
cst = 1./(1.-v12*v21-v23*v32-v31*v13
+ -2.*v21*v32*v13)
!
Cc=0.
Cc(1,1) = e1*(1.-v23*v32)*cst
Cc(2,2) = e2*(1.-v13*v31)*cst
Cc(3,3) = e3*(1.-v12*v21)*cst
Cc(1,2) = e1*(v21+v31*v23)*cst
Cc(1,3) = e1*(v31+v21*v32)*cst
Cc(2,3) = e2*(v32+v12*v31)*cst
Cc(4,4) = g12
Cc(5,5) = g13
Cc(6,6) = g23
!
! symmetrize compliance matrix
Cc(2,1) = Cc(1,2)
Cc(3,1) = Cc(1,3)
Cc(3,2) = Cc(2,3)
!
!
!
! define thermal eigenstrain in the lattice system
alphamat=0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
!
!
return
!
end subroutine materialparam
!
!
!
!
!
end module usermaterials
================================================
FILE: Example - Single crystal with material vox file/useroutputs.f
================================================
! Nov. 11th, 2022
! Eralp Demir
!
! This is written to define the outputs for post-processing
!
module useroutputs
implicit none
!
!
! GLOBAL VARIABLES USED IN POST-PROCESSING
! -------------------------------------------------------------------------------
!
! Flags for different outputs (22-30 custom outputs)
integer, public :: statev_outputs(30)
!
! Set the desired outputs by setting 0 / 1
! in the "defineoutputs" subroutine in the below!
!
!
!
! Number of outputs - will be computed
integer, public :: nstatv_outputs
!
!
! -------------------------------------------------------------------------------
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine defineoutputs
!
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
! Variables used in the subroutine
integer :: i, ind
!
!
! List of variables
! Set the flag to "1" if requested
!
! 1st State-variable output / number of outputs: 9
! Crystal to Sample tranformation: statev_gmatinv
statev_outputs(1) = 0
!
! 2nd State-variable output / number of outputs: 1
! Equivalent Von-Mises plastic total strain: statev_evmp
statev_outputs(2) = 0
!
! 3rd State-variable output / number of outputs: 1
! Maximum ratio of rss to crss: statev_maxx
statev_outputs(3) = 0
!
! 4th State-variable output / number of outputs: 6
! Elastic strains in the crystal frame: statev_Eec
statev_outputs(4) = 0
!
! 5th State-variable output / number of outputs: 9
! Lattice curvature: statev_curvature
statev_outputs(5) = 0
!
! 6th State-variable output / number of outputs: 1
! Total statistically-stored dislocation density: statev_ssdtot
statev_outputs(6) = 0
!
! 7th State-variable output / number of outputs: 1
! Substructure dislocation density: statev_substructure
statev_outputs(7) = 0
!
! 8th State-variable output / number of outputs: 1
! Solute strength: statev_tausolute
statev_outputs(8) = 0
!
! 9th State-variable output / number of outputs: 1
! Cumulative slip: statev_totgammasum
statev_outputs(9) = 0
!
! 10th State-variable output / number of outputs: maxnslip
! Total slip per slip system: statev_gammasum
statev_outputs(10) = 1
!
! 11th State-variable output / number of outputs: maxnslip
! Slip rate: statev_gammadot
statev_outputs(11) = 0
!
! 12nd State-variable output / number of outputs: maxnslip
! Critical Resolved Shear Stress: statev_tauc
statev_outputs(12) = 0
!
! 13rd State-variable output / number of outputs: maxnslip
! Statistically-Stored Dislocation Density: statev_ssd
statev_outputs(13) = 0
!
! 14th State-variable output / number of outputs: maxnslip*2
! Geometrically Necessary Dislocation Density: statev_gnd
statev_outputs(14) = 0
!
! 15th State-variable output / number of outputs: maxnslip
! Foresty Dislocation Density: statev_forest
statev_outputs(15) = 0
!
! 16th State-variable output / number of outputs: maxnloop
! Defect Loop Density: statev_loop
statev_outputs(16) = 0
!
! 17th State-variable output / number of outputs: maxnslip
! Backstress: statev_backstress
statev_outputs(17) = 0
!
! 18th State-variable output / number of outputs: 1
! Total GND density
statev_outputs(18) = 0
!
! 19th State-variable output / number of outputs: 1
! Plastic dissipation power density
statev_outputs(19) = 0
!
! 20st State-variable output / number of outputs: 1
! Fatemi Socie parameter
statev_outputs(20) = 0
!
! 21-30 custom outputs
! Need to be defined here!
statev_outputs(21) = 0
statev_outputs(22) = 0
statev_outputs(23) = 0
statev_outputs(24) = 0
statev_outputs(25) = 0
statev_outputs(26) = 0
statev_outputs(27) = 0
statev_outputs(28) = 0
statev_outputs(29) = 0
statev_outputs(30) = 0
!
!
!
!
!
!
!
! Count the user-defined outputs
nstatv_outputs=0
! Find the total number of state variable outputs
if (statev_outputs(1)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(2)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(3)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(4)==1) then
nstatv_outputs=nstatv_outputs+6
endif
if (statev_outputs(5)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(6)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(7)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(8)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(9)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(10)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(11)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(12)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(13)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(14)==1) then
nstatv_outputs=nstatv_outputs+maxnslip*2
endif
if (statev_outputs(15)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(16)==1) then
nstatv_outputs=nstatv_outputs+maxnloop
endif
if (statev_outputs(17)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(18)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(19)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(20)==1) then
nstatv_outputs=nstatv_outputs+1
endif
!
!
! Custom outputs need to be filled here!
!
!
!
!
!
end subroutine defineoutputs
!
!
!
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine checkoutputs(nstatv)
use errors, only: error
implicit none
! Number of state variables
integer, intent(in) :: nstatv
!
! Check if defined correctly
if (nstatv_outputs > nstatv) then
write(*,*) 'There are ',
+ nstatv_outputs, ' number of outputs!'
write(*,*) 'But, ',
+ nstatv, ' number of outputs were defined in DEPVAR!'
! error message in .dat file
call error(6)
end if
!
end subroutine checkoutputs
!
!
!
!
!
!
!
subroutine write_statev_legend
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
integer count, i
character*2 ij
!
! Write the legend of the output variables (nstatv)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maximum ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: cumulative slip (x1)
! 10: total slip per slip system (x maxnslip)
! 11: slip rates per slip system (x maxnslip)
! 12: CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: GND density (x1)
! 19: Plastic dissipation power density (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
!
!
!
!
count = 0
open(100,file='../STATEV_legend.txt',action='write',
+ status='replace')
!
!
!
!
!
!
!
! State variable-1
if (statev_outputs(1) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A37,A2,A4)')
+ 'STATEV-', count,
+ ': Crystal to Sample transformation -', ij, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-2
if (statev_outputs(2) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A39,A4)')
+ 'STATEV-', count,
+ ': Equivalent Von-Mises plastic strain', ' [-]'
!
!
!
!
endif
!
!
! State variable-3
if (statev_outputs(3) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A32,A4)')
+ 'STATEV-', count,
+ ': Maximum ratio of rss to crss', ' [-]'
!
!
!
!
endif
!
!
!
! State variable-4
if (statev_outputs(4) == 1) then
!
do i = 1, 6
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'yy'
case(3)
ij = 'zz'
case(4)
ij = 'xy'
case(5)
ij = 'xz'
case(6)
ij = 'yz'
!
end select
!
!
!
write(100,'(A7,I3,A36,A2,A6)')
+ 'STATEV-', count,
+ ': Elastic strain in crystal frame-', ij, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
!
! State variable-5
if (statev_outputs(5) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A21,A2,A15)')
+ 'STATEV-', count,
+ ': Lattice curvature', ij, ' [1/micrometer]'
!
end do
!
!
endif
!
!
!
!
!
!
!
!
!
! State variable-6
if (statev_outputs(6) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': total SSD density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
!
! State variable-7
if (statev_outputs(7) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A24,A17)')
+ 'STATEV-', count,
+ ': substructure density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-8
if (statev_outputs(8) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A19,A6)')
+ 'STATEV-', count,
+ ': solute strength', ' [MPa]'
!
!
!
!
endif
!
!
! State variable-9
if (statev_outputs(9) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A19,A4)')
+ 'STATEV-', count,
+ ': cumulative slip', ' [-]'
!
!
!
!
endif
!
!
!
!
! State variable-10
if (statev_outputs(10) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A4)')
+ 'STATEV-', count,
+ ': Total slip on slip system-', i, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-11
if (statev_outputs(11) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A29,I2,A6)')
+ 'STATEV-', count,
+ ': Slip rate of slip system-', i, ' [1/s]'
!
end do
!
!
endif
!
!
! State variable-12
if (statev_outputs(12) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A24,I2,A6)')
+ 'STATEV-', count,
+ ': CRSS on slip system-', i, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
! State variable-13
if (statev_outputs(13) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': SSD density of slip system-', i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
!
!
! State variable-14
if (statev_outputs(14) == 1) then
!
do i = 1, maxnslip*2
!
count = count + 1
!
! Edge dislocation
if (i <= maxnslip) then
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Edge dislocation density-', i, ' [1/micrometer^2]'
!
else
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]'
!
end if
!
!
end do
!
!
endif
!
!
! State variable-15
if (statev_outputs(15) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Forest dislocation density of slip system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-16
if (statev_outputs(16) == 1) then
!
do i = 1, maxnloop
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Loop dislocation density of defect system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-17
if (statev_outputs(17) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A6)')
+ 'STATEV-', count,
+ ': Backstress on slip system-',
+ i, ' [MPa]'
!
end do
!
!
endif
!
! State variable-18
if (statev_outputs(18) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': Total GND density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-19
if (statev_outputs(19) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A37,A5)')
+ 'STATEV-', count,
+ ': Plastic dissipation power density', ' [nW]'
!
!
!
!
endif
!
! State variable-20
if (statev_outputs(20) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A26,A4)')
+ 'STATEV-', count,
+ ': Fatemi Socie parameter', ' [-]'
!
!
!
!
endif
!
close(100)
!
!
!
!
!
!
return
end subroutine write_statev_legend
!
!
!
!
!
!
!
subroutine assignoutputs(noel,npt,nstatv,statev)
use globalvariables, only: statev_gmatinv,
+ statev_evmp, statev_maxx, statev_Eec,
+ statev_curvature, statev_backstress_t,
+ statev_ssdtot, statev_substructure,
+ statev_tausolute, statev_totgammasum,
+ statev_gammasum, statev_gammadot,
+ statev_tauceff, statev_ssd, statev_loop, statev_gnd_t,
+ statev_forest, statev_plasdiss
use userinputs, only: maxnslip, maxnloop
use utilities, only: matvec9
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of state variables
integer, intent(in) :: nstatv
! Values of state variables
real(8), intent(inout) :: statev(nstatv)
! Other variables
integer :: i, j
real(8) :: d6(6), d9(9), d1
real(8) :: gnd(maxnslip*2)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maxium ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: Cumulative slip (x1)
! 10: Total slip per slip system (x maxnslip)
! 11: Slip rates per slip system (x maxnslip)
! 12: Effective CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop density (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: Total GND density (x1)
! 19: Plastic dissipation (x1)
! 20: Fatemi Socie parameter (x1)
! 21-30: Custom outputs
!
!
! Reset the counter
i=0
!
! State variable-1
! Transformation matrix from crystal to sample (x9)
if (statev_outputs(1)==1) then
!
!
!
call matvec9(statev_gmatinv(noel,npt,:,:),d9)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
end if
!
!
!
! State variable-2
! Equivalent Von-Mises plastic strain (x1)
if (statev_outputs(2)==1) then
!
i = i + 1
statev(i) = statev_evmp(noel,npt)
!
end if
!
!
! State variable-3
! Maxium ratio of rss to crss (x1)
if (statev_outputs(3)==1) then
!
i = i + 1
statev(i) = statev_maxx(noel,npt)
!
end if
!
!
! State variable-4
! Elastic strain in crystal frame (x6)
if (statev_outputs(4)==1) then
!
!
do j = 1, 6
i = i + 1
statev(i) = statev_Eec(noel,npt,j)
end do
!
!
end if
!
!
! State variable-5
! Lattice curvature (x9)
if (statev_outputs(5)==1) then
!
d9 = statev_curvature(noel,npt,:)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
!
end if
!
!
! State variable-6
! SSD total (x1)
if (statev_outputs(6)==1) then
!
i = i + 1
statev(i) = statev_ssdtot(noel,npt)
!
end if
!
!
!
! State variable-7
! Substructure density (x1)
if (statev_outputs(7)==1) then
!
i = i + 1
statev(i) = statev_substructure(noel,npt)
!
end if
!
!
! State variable-8
! Solute strength (x1)
if (statev_outputs(8)==1) then
!
i = i + 1
statev(i) = statev_tausolute(noel,npt)
!
end if
!
!
! State variable-9
! Cumulative slip (x1)
if (statev_outputs(9)==1) then
!
i = i + 1
statev(i) = statev_totgammasum(noel,npt)
!
end if
!
!
! State variable-10
! Total slip per slip system (x maxnslip)
if (statev_outputs(10)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammasum(noel,npt,j)
end do
!
end if
!
!
! State variable-11
! Slip rates per slip system (x maxnslip)
if (statev_outputs(11)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammadot(noel,npt,j)
end do
!
end if
!
! State variable-12
! CRSS (x maxnslip)
if (statev_outputs(12)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_tauceff(noel,npt,j)
end do
!
end if
!
!
! State variable-13
! SSD (x maxnslip)
if (statev_outputs(13)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_ssd(noel,npt,j)
end do
!
end if
!
!
! State variable-14
! GND (x maxnslip)
if (statev_outputs(14)==1) then
!
do j = 1, maxnslip*2
i = i + 1
statev(i) = statev_gnd_t(noel,npt,j)
end do
!
end if
!
!
! State variable-15
! Forest density (x maxnslip)
if (statev_outputs(15)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_forest(noel,npt,j)
end do
!
end if
!
! State variable-16
! Loop density (x maxnloop)
if (statev_outputs(16)==1) then
!
do j = 1, maxnloop
i = i + 1
statev(i) = statev_loop(noel,npt,j)
end do
!
end if
!
!
! State variable-17
! Backstress (x maxnslip)
if (statev_outputs(17)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_backstress_t(noel,npt,j)
end do
!
end if
!
! State variable-18
! GND total (x1)
if (statev_outputs(18)==1) then
!
i = i + 1
gnd = statev_gnd_t(noel,npt,1:2*maxnslip)
statev(i) = sqrt(sum(gnd*gnd))
!
end if
!
! State variable-19
! Plastic dissipation power density (x1)
if (statev_outputs(19)==1) then
!
i = i + 1
statev(i) = statev_plasdiss(noel,npt)
!
end if
!
! State variable-20
! Fatemi Socie parameter (x1)
if (statev_outputs(20)==1) then
!
i = i + 1
call FatemiSocie_parameter(noel,npt,d1)
statev(i) = d1
!
end if
!
!
! Custom state variables 21-30
! Please add custom outputs here!
!
!
!
!
return
end subroutine assignoutputs
!
!
!!
!
!
!
! Subroutine to calculate Fatemi Socie parameter
subroutine FatemiSocie_parameter(noel,npt,FSp)
use userinputs, only: maxnslip
use globalvariables, only: statev_sigma, statev_gammasum,
+ statev_gmatinv, statev_tauceff, materialid, norc_0_all
use utilities, only: vecmat6
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: FSp
! Variables used in the subroutine
real(8) :: sig6(6), sig3x3(3,3)
real(8) :: gammasum(maxnslip)
real(8) :: gmatinv(3,3)
real(8) :: tauceff(maxnslip), tauceffmax
integer :: matid
real(8) :: norc(3), nors(3)
real(8) :: shmax, sigmax, k
integer :: ismax, is, i, j
!
! Input parameter "k"
! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003
k = 0.5
!
!
FSp=0.
sig6 = statev_sigma(noel,npt,:)
gammasum = statev_gammasum(noel,npt,:)
gmatinv = statev_gmatinv(noel,npt,:,:)
tauceff = statev_tauceff(noel,npt,:)
matid = materialid(noel,npt)
!
!
! Find maximum slip
shmax=0.
do is=1,maxnslip
if (abs(gammasum(is)).gt.shmax) then
shmax = abs(gammasum(is))
ismax = is
end if
end do
!
! Maximum CRSS
tauceffmax = tauceff(ismax)
!
! Slip plane normal of maximum slip
norc = norc_0_all(matid,ismax,:)
!
! Transform to sample reference
nors = matmul(gmatinv,norc)
!
! Convert stress to 3x3 matrix
call vecmat6(sig6,sig3x3)
!
! Project stress to the slip plane of maximum slip
sigmax = 0.
do i = 1, 3
do j = 1, 3
sigmax = sigmax +
+ nors(i)*sig3x3(i,j)*nors(j)
end do
end do
!
! Parameter calculation
FSp = shmax/2.*(1.+k*sigmax/tauceffmax)
!
!
return
end subroutine FatemiSocie_parameter
!
!
!
end module useroutputs
================================================
FILE: Example - Single crystal with material vox file/utilities.f
================================================
! *************************************************
! *************************************************
! * UTILITY SUBROUTINES *
! *************************************************
! *************************************************
! Updated on Sept 23rd, 2022
! Reorganized by Eralp Demir
! Converged into a module file
! Function trace is written as a subroutine
!
!
module utilities
implicit none
contains
!
!
! *************************************************
! * TRACE OF A 3X3 MATRIX *
! *************************************************
subroutine trace3x3(a,aii)
implicit none
real(8), intent(in) :: a(3,3)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)+a(3,3)
!
return
end subroutine trace3x3
!
!
!
! *************************************************
! * TRACE OF A2X2 MATRIX *
! *************************************************
subroutine trace2x2(a,aii)
implicit none
real(8), intent(in) :: a(2,2)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)
!
return
end subroutine trace2x2
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine vecmat9(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(9)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
dmout(1,1) = dvin(1)
dmout(1,2) = dvin(2)
dmout(1,3) = dvin(3)
!
dmout(2,1) = dvin(4)
dmout(2,2) = dvin(5)
dmout(2,3) = dvin(6)
!
dmout(3,1) = dvin(7)
dmout(3,2) = dvin(8)
dmout(3,3) = dvin(9)
!
return
end subroutine vecmat9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine matvec9(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(9)
integer :: i
!
dvout(1) = dmin(1,1)
dvout(2) = dmin(1,2)
dvout(3) = dmin(1,3)
!
dvout(4) = dmin(2,1)
dvout(5) = dmin(2,2)
dvout(6) = dmin(2,3)
!
dvout(7) = dmin(3,1)
dvout(8) = dmin(3,2)
dvout(9) = dmin(3,3)
!
return
end subroutine matvec9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! *************************************************
subroutine matvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = (dmin(1,2)+dmin(2,1))/2.
dvout(5) = (dmin(1,3)+dmin(3,1))/2.
dvout(6) = (dmin(2,3)+dmin(3,2))/2.
!
return
end subroutine matvec6
!
!
! *************************************************
! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX *
! *************************************************
!
subroutine vecmat6(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(6)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
do i=1,3
dmout(i,i) = dvin(i)
end do
!
dmout(1,2) = dvin(4)
dmout(2,1) = dvin(4)
dmout(1,3) = dvin(5)
dmout(3,1) = dvin(5)
dmout(3,2) = dvin(6)
dmout(2,3) = dvin(6)
!
return
end subroutine vecmat6
!
!
! *************************************************
! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
! *************************************************
subroutine vecprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2)
dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3)
dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1)
!
return
end subroutine vecprod
!
!
! *************************************************
! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 *
! *************************************************
subroutine dotprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3)
dvout = abs(dvout)
!
return
end subroutine dotprod
!
!
! ****************************************************
! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! ****************************************************
! Off-diagonal terms are doubled!
! This is valid for shear conversion only!
subroutine gmatvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = dmin(1,2)+dmin(2,1)
dvout(5) = dmin(3,1)+dmin(1,3)
dvout(6) = dmin(2,3)+dmin(3,2)
!
return
end subroutine gmatvec6
!
! *************************************************
! * INVERSE OF A MATRIX WITH LAPACK *
! *************************************************
! Checked inverse against python's numpy.linalg.inv
subroutine lapinverse(xmatin,m,info,xmatout)
implicit none
!
integer,intent(in) :: m
real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:)
!
integer,parameter :: lwork = 64
real(8),parameter :: zero=1.0d-12
integer :: i,j
!
integer,intent(out) :: info
real(8),intent(out) :: xmatout(m,m)
integer :: ipiv(m)
real(8) :: a(m,m)
real(8) :: work(lwork)
!
!
! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6
!
! EXTERNAL DGETRI, DGETRF
!
!
!
xmatout = 0.
! ED: I have added to run this
! The next line shall be removed
info=1
!
a = xmatin !don't input array xmatin
!
! call DGETRF( m, m, a, m, ipiv, info )
!
if(info == 0) then
! call DGETRI( m, a, m, ipiv, work, lwork, info )
!write(*,*) "work(1) == min lwork needed", work(1)
else
xmatout = 0.
! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse"
end if
!
do i=1,m;
do j=1,m;
if (abs(a(i,j))<= zero) a(i,j) = 0.
end do
end do
xmatout = a
!
!
!
!
return
end subroutine lapinverse
!
!
!
!
! ****************************************************
! * INVERSE OF A MATRIX WITHOUT LAPACK *
! ****************************************************
!
subroutine nolapinverse(ain,c,n)
! ============================================================
! Inverse matrix
! Method: Based on Doolittle LU factorization for Ax=b
! Alex G. December 2009
! -----------------------------------------------------------
! input ...
! a(n,n) - array of coefficients for matrix A
! n - dimension
! output ...
! c(n,n) - inverse matrix of A
!
! ===========================================================
implicit none
!
integer, intent(in) :: n
real(8), intent(out) :: c(n,n)
real(8), intent(in) :: ain(n,n)
real(8) :: L(n,n), U(n,n), b(n), d(n), x(n)
real(8) :: coeff, a(n,n)
integer :: i, j, k
!
! step 0: initialization for matrices L and U and b
! Fortran 90/95 allows such operations on matrices
L=0.
U=0.
b=0.
a=ain
!
! step 1: forward elimination
do k=1,n-1
do i=k+1,n
coeff=a(i,k)/a(k,k)
L(i,k) = coeff
do j=k+1,n
a(i,j) = a(i,j)-coeff*a(k,j)
end do
end do
end do
!
! Step 2: prepare L and U matrices
! L matrix is a matrix of the elimination coefficient
! + the diagonal elements are 1.0
do i=1,n
L(i,i) = 1.0
end do
! U matrix is the upper triangular part of A
do j=1,n
do i=1,j
U(i,j) = a(i,j)
end do
end do
!
! Step 3: compute columns of the inverse matrix C
do k=1,n
b(k)=1.0
d(1) = b(1)
! Step 3a: Solve Ld=b using the forward substitution
do i=2,n
d(i)=b(i)
do j=1,i-1
d(i) = d(i) - L(i,j)*d(j)
end do
end do
! Step 3b: Solve Ux=d using the back substitution
x(n)=d(n)/U(n,n)
do i = n-1,1,-1
x(i) = d(i)
do j=n,i+1,-1
x(i)=x(i)-U(i,j)*x(j)
end do
x(i) = x(i)/u(i,i)
end do
! Step 3c: fill the solutions x(n) into column k of C
do i=1,n
c(i,k) = x(i)
end do
b(k)=0.0
end do
!
end subroutine nolapinverse
!
!
!
!
!
! *************************************************
! * SUBROUTINE MATRIX SQUARE ROOT *
! *************************************************
!
subroutine msqrt(a,b)
implicit none
real(8), intent(inout) :: a(3,3)
real(8), intent(out) :: b(3,3)
integer :: i
real(8) :: diag(3,3), q(3,3), d(3),
+ qtrans(3,3), res(3,3)
!
!
diag=0.; b=0.; q=0.;res=0.;d=0.
!
call jacobi(a,3,d,q)
call eigsrt(d,q,3)
!
do i=1,3
if (d(i) .ge. 0) then
diag(i,i)=sqrt(d(i))
else
write (6,*) 'the matrix is not positive definite'
end if
end do
!
res = matmul(q,diag)
b = matmul(res,transpose(q))
!
return
end subroutine msqrt
!
!
!
! *************************************************
! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS*
! *************************************************
!
subroutine jacobi(a,n,d,v)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: a(n,n)
real(8), intent(out) :: d(n), v(n,n)
!
integer, parameter :: nmax=500
integer :: i, j, ip, iq, nrot
real(8) :: b(nmax), z(nmax), dial(n,n),
+ sm, tresh, g, h, t, theta, c, s, ta
!
!
do ip=1,n
do iq=1,n
v(ip,iq)=0.
end do
v(ip,ip)=1.
end do
!
do ip=1,n
b(ip)=a(ip,ip)
d(ip)=b(ip)
z(ip)=0.
end do
!
nrot=0
do i=1,50
sm=0.
do ip=1,n-1
do iq=ip+1,n
sm=sm+abs(a(ip,iq))
end do
end do
!
if (sm .eq. 0.) return
if (i .lt. 4) then
tresh=0.2*sm/n**2
else
tresh=0.
end if
!
do ip=1,n-1
do iq=ip+1,n
g=100.*abs(a(ip,iq))
if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip)))
+ .and. (abs(d(ip))+g .eq. abs(d(iq)))) then
a(ip,iq)=0.
else if (abs(a(ip,iq)) .gt. tresh) then
h=d(iq)-d(ip)
if (abs(h)+g .eq. abs(h)) then
t=a(ip,iq)/h
else
theta=0.5*h/a(ip,iq)
t=1./(abs(theta)+sqrt(1.+theta**2))
if (theta .lt. 0) t=-t
end if
c=1./sqrt(1.+t**2)
s=t*c
ta=s/(1.+c)
h=t*a(ip,iq)
z(ip)=z(ip)-h
z(iq)=z(iq)+h
d(ip)=d(ip)-h
d(iq)=d(iq)+h
a(ip,iq)=0.
!
do j=1,ip-1
g=a(j,ip)
h=a(j,iq)
a(j,ip)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=ip+1,iq-1
g=a(ip,j)
h=a(j,iq)
a(ip,j)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=iq+1,n
g=a(ip,j)
h=a(iq,j)
a(ip,j)=g-s*(h+g*ta)
a(iq,j)=h+s*(g-h*ta)
end do
!
do j=1,n
g=v(j,ip)
h=v(j,iq)
v(j,ip)=g-s*(h+g*ta)
v(j,iq)=h+s*(g-h*ta)
end do
!
nrot=nrot+1
end if
end do
end do
!
do ip=1,n
b(ip)=b(ip)+z(ip)
d(ip)=b(ip)
z(ip)=0.
end do
end do
!
!
return
end subroutine jacobi
!
!
! *************************************************
! * SUBROUTINE SORT EIGENVALUES *
! *************************************************
!
subroutine eigsrt(d,v,n)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: d(n)
real(8), intent(inout) :: v(n,n)
!
integer :: i, j, k
real(8) :: p
!
do i=1,n-1
k=i
p=d(i)
do j=i+1,n
if(d(j).ge.p)then
k=j
p=d(j)
endif
end do
if(k.ne.i)then
d(k)=d(i)
d(i)=p
do j=1,n
p=v(j,i)
v(j,i)=v(j,k)
v(j,k)=p
end do
endif
end do
!
return
end subroutine eigsrt
!
!
! *************************************************
! * THE DETERMINANT OF A 3X3 MATRIX *
! *************************************************
subroutine deter3x3(dmin,d)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: d
!
d = 0.
d = dmin(1,1)*dmin(2,2)*dmin(3,3) +
+ dmin(1,2)*dmin(2,3)*dmin(3,1) +
+ dmin(2,1)*dmin(3,2)*dmin(1,3) -
+ dmin(1,3)*dmin(2,2)*dmin(3,1) -
+ dmin(1,1)*dmin(2,3)*dmin(3,2) -
+ dmin(1,2)*dmin(2,1)*dmin(3,3)
!
return
end subroutine deter3x3
!
!
! *************************************************
! * THE DETERMINANT OF A 2X2 MATRIX *
! *************************************************
subroutine deter2x2(dmin,d)
implicit none
real(8), intent(in) :: dmin(2,2)
real(8), intent(out) :: d
!
d=0.
d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1)
!
return
end subroutine deter2x2
!
! *************************************************
! * Build 4th order rotation matrix (tsigma) *
! *************************************************
! valid for rotating symmetric tensors
subroutine rotord4sig(xrot,tsigma)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tsigma(6,6)
!
tsigma(1,1) = xrot(1,1)*xrot(1,1)
tsigma(1,2) = xrot(1,2)*xrot(1,2)
tsigma(1,3) = xrot(1,3)*xrot(1,3)
tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2)
tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3)
tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1)
!
tsigma(2,1) = xrot(2,1)*xrot(2,1)
tsigma(2,2) = xrot(2,2)*xrot(2,2)
tsigma(2,3) = xrot(2,3)*xrot(2,3)
tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2)
tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3)
tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1)
!
tsigma(3,1) = xrot(3,1)*xrot(3,1)
tsigma(3,2) = xrot(3,2)*xrot(3,2)
tsigma(3,3) = xrot(3,3)*xrot(3,3)
tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2)
tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3)
tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1)
!
tsigma(4,1) = xrot(1,1)*xrot(2,1)
tsigma(4,2) = xrot(1,2)*xrot(2,2)
tsigma(4,3) = xrot(1,3)*xrot(2,3)
tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tsigma(6,1) = xrot(2,1)*xrot(3,1)
tsigma(6,2) = xrot(2,2)*xrot(3,2)
tsigma(6,3) = xrot(2,3)*xrot(3,3)
tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tsigma(5,1) = xrot(3,1)*xrot(1,1)
tsigma(5,2) = xrot(3,2)*xrot(1,2)
tsigma(5,3) = xrot(3,3)*xrot(1,3)
tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4sig
!
!
! *************************************************
! * Build 4th order rotation matrix (tstran) *
! *************************************************
! valid for symmetric tensors
subroutine rotord4str(xrot,tstran)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tstran(6,6)
!
tstran(1,1) = xrot(1,1)*xrot(1,1)
tstran(1,2) = xrot(1,2)*xrot(1,2)
tstran(1,3) = xrot(1,3)*xrot(1,3)
tstran(1,4) = xrot(1,1)*xrot(1,2)
tstran(1,6) = xrot(1,2)*xrot(1,3)
tstran(1,5) = xrot(1,3)*xrot(1,1)
!
tstran(2,1) = xrot(2,1)*xrot(2,1)
tstran(2,2) = xrot(2,2)*xrot(2,2)
tstran(2,3) = xrot(2,3)*xrot(2,3)
tstran(2,4) = xrot(2,1)*xrot(2,2)
tstran(2,6) = xrot(2,2)*xrot(2,3)
tstran(2,5) = xrot(2,3)*xrot(2,1)
!
tstran(3,1) = xrot(3,1)*xrot(3,1)
tstran(3,2) = xrot(3,2)*xrot(3,2)
tstran(3,3) = xrot(3,3)*xrot(3,3)
tstran(3,4) = xrot(3,1)*xrot(3,2)
tstran(3,6) = xrot(3,2)*xrot(3,3)
tstran(3,5) = xrot(3,3)*xrot(3,1)
!
tstran(4,1) = 2.*xrot(1,1)*xrot(2,1)
tstran(4,2) = 2.*xrot(1,2)*xrot(2,2)
tstran(4,3) = 2.*xrot(1,3)*xrot(2,3)
tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tstran(6,1) = 2.*xrot(2,1)*xrot(3,1)
tstran(6,2) = 2.*xrot(2,2)*xrot(3,2)
tstran(6,3) = 2.*xrot(2,3)*xrot(3,3)
tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tstran(5,1) = 2.*xrot(3,1)*xrot(1,1)
tstran(5,2) = 2.*xrot(3,2)*xrot(1,2)
tstran(5,3) = 2.*xrot(3,3)*xrot(1,3)
tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4str
!
!
! ***************************************************************
! * Build 4th order lower (and upper) tensor product *
! * NB: When contracted from 4th to the format used for *
! * C-matrix, it turns out that the upper and lower products *
! * are the same! *
! ***************************************************************
! valid for symmetric tensors
subroutine ltprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,2)*b(1,2)
c(1,3) = 2.*a(1,3)*b(1,3)
c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1)
c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1)
c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,3)*b(2,3)
c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1)
c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1)
c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1)
c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1)
c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1)
c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1)
c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2)
!
c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1)
c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine ltprod
!
!
! **************************************************
! * Build 4th order tensor product (kronecker)*
! **************************************************
! valid for symmetric tensors
subroutine tprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,1)*b(2,2)
c(1,3) = 2.*a(1,1)*b(3,3)
c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1)
c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1)
c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,2)*b(3,3)
c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1)
c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1)
c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1)
c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1)
c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1)
c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1)
c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2)
!
c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1)
c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine tprod
!
!
!
! **************************************
! * MULTIPLY 3x3 MATRICES *
! **************************************
subroutine mmult(dm1,dm2,dm)
implicit none
real(8), intent(in) :: dm1(3,3), dm2(3,3)
real(8), intent(out) :: dm(3,3)
integer :: i, j, k
real(8) :: x
!
!
do i=1,3
do j=1,3
x=0.0
do k=1,3
x=x+dm1(i,k)*dm2(k,j)
end do
dm(i,j)=x
end do
end do
!
return
end subroutine mmult
!
!
! This subroutine inverts a 3x3 matrix
! INPUT: Matrix --- A(3,3)
! OUTPUT: Invereted matrix, determinant --- invA(3,3),det
subroutine inv3x3(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(3,3)
real(8), intent(out) :: invA(3,3), det
integer :: i,j
!
!
! First calculate the determinant
call deter3x3(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det
invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det
invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det
invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det
invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det
invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det
invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det
invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det
invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det
endif
return
end subroutine inv3x3
!
!
! This subroutine inverts a 2x2 matrix
! INPUT: Matrix --- A(2,2)
! OUTPUT: Invereted matrix, determinant --- invA(2,2),det
subroutine inv2x2(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(2,2)
real(8), intent(out) :: invA(2,2), det
integer :: i,j
!
!
! First calculate the determinant
call deter2x2(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1) = A(2,2)/det
invA(1,2) =-A(1,2)/det
invA(2,1) =-A(2,1)/det
invA(2,2) = A(1,1)/det
endif
return
end subroutine inv2x2
!
! Euler angles to crystal orientation matrix
! INPUT: Angles(deg) --- ang(3)
! OUTPUT: Orientation matrix --- R(3,3)
! USES: Number pi --- pi
subroutine Euler2ori(Euler,R)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: R(3,3)
real(8) :: phi1, phi2, Phi
!
! convert to radians
phi1=Euler(1)*pi/180.
Phi=Euler(2)*pi/180.
phi2=Euler(3)*pi/180.
!
!
R=0.
R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi))
R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi))
R(3,1)=sin(phi1)*sin(Phi)
R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi))
R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi))
R(3,2)=-cos(phi1)*sin(Phi)
R(1,3)=sin(phi2)*sin(Phi)
R(2,3)=cos(phi2)*sin(Phi)
R(3,3)=cos(Phi)
!
return
end subroutine Euler2ori
!
!
! Orientation matrix from Euler angles
! INPUT: Orientation matrix --- R(3)
! OUTPUT: Bunge angles(deg) --- ang(3)
! USES: Number pi --- pi
subroutine ori2Euler(R,Euler)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: R(3,3)
real(8), intent(out) :: Euler(3)
real(8) :: phi1, phi2, Phi
!
if (R(3,3).eq.1.) then
Phi=0.
phi1=atan2(R(1,2),R(1,1))
phi2=0.
else
Phi=acos(R(3,3))
phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi))
phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi))
endif
Euler(1)=phi1
Euler(2)=Phi
Euler(3)=phi2
! convert to degrees
Euler=Euler*180./pi
!
return
end subroutine ori2Euler
!
!
! This subroutine calculates inverse of a square matrix
! by singular value decomposition
subroutine SVDinverse(A,n,invA,err)
use globalvariables, only: smallnum
implicit none
integer n
real(8), intent(in) :: A(n,n)
real(8), intent(out) :: invA(n,n)
integer, intent(out) :: err
! local variables
real(8) :: w(n), V(n,n), U(n,n)
real(8) :: invS(n,n), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,n,n,n,w,V,err)
!
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
!
invS = 0.
do i = 1, n
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
! Corrected by Alvaro
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDinverse
!
!
! Generalized inverse by singular value decomposition
! Written by Alvaro Martinez 08-03-2023
!
subroutine SVDgeninverse(A,n,m,invA,err)
use globalvariables, only: smallnum
implicit none
integer, intent(in) :: n
integer, intent(in) :: m
real(8), intent(in) :: A(n,m)
real(8), intent(out) :: invA(m,n)
integer, intent(out) :: err
! local variables
real(8) :: w(m), V(m,m), U(n,m)
real(8) :: invS(m,m), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,m,n,m,w,V,err)
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
invS = 0.
do i = 1, m
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
!
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDgeninverse
!
!
!
! Codes for singular value decomposition
! Numerical Recipies in F77
! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf
!
! SVDcmp subroutine
! Given a matrix (1:m,1:n) with physical dimensions mp by np,
! this routine computes its singular value decomposition,
! A = U W VT. The matrix U replaces A on output. The diagonal
! matrix of singular values W is output as a vector w(1:n)
! The matrix V (not the transpose VT) is the output as V(1:n,1:n)
!
subroutine svdcmp(A,m,n,mp,np,w,V,err)
use errors, only: error
implicit none
integer, intent(in) :: m,mp,n,np
real(8), intent(inout) :: A(mp,np)
real(8), intent(out) :: V(np,np), w(np)
integer, intent(out) :: err
integer, parameter :: nmax=1000
! uses pythag
integer i,its,j,jj,k,l,nm
real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt
! initialize error flag
err=0
!
g=0.0
scale=0.0
anorm=0.0
do 25 i=1,n
l=i+1
rv1(i)=scale*g
g=0.0
s=0.0
scale=0.0
if(i.le.m)then
do 11 k=i,m
scale=scale+abs(A(k,i))
11 continue
if(scale.ne.0.0)then
do 12 k=i,m
A(k,i)=A(k,i)/scale
s=s+A(k,i)*A(k,i)
12 continue
f=A(i,i)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,i)=f-g
do 15 j=l,n
s=0.0
do 13 k=i,m
s=s+A(k,i)*A(k,j)
13 continue
f=s/h
do 14 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
14 continue
15 continue
do 16 k=i,m
A(k,i)=scale*A(k,i)
16 continue
endif
endif
w(i)=scale *g
g=0.0
s=0.0
scale=0.0
if((i.le.m).and.(i.ne.n))then
do 17 k=l,n
scale=scale+abs(A(i,k))
17 continue
if(scale.ne.0.0)then
do 18 k=l,n
A(i,k)=A(i,k)/scale
s=s+A(i,k)*A(i,k)
18 continue
f=A(i,l)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,l)=f-g
do 19 k=l,n
rv1(k)=A(i,k)/h
19 continue
do 23 j=l,m
s=0.0
do 21 k=l,n
s=s+A(j,k)*A(i,k)
21 continue
do 22 k=l,n
A(j,k)=A(j,k)+s*rv1(k)
22 continue
23 continue
do 24 k=l,n
A(i,k)=scale*A(i,k)
24 continue
endif
endif
anorm=max(anorm,(abs(w(i))+abs(rv1(i))))
25 continue
do 32 i=n,1,-1
if(i.lt.n)then
if(g.ne.0.0)then
do 26 j=l,n
V(j,i)=(A(i,j)/A(i,l))/g
26 continue
do 29 j=l,n
s=0.0
do 27 k=l,n
s=s+A(i,k)*V(k,j)
27 continue
do 28 k=l,n
V(k,j)=V(k,j)+s*V(k,i)
28 continue
29 continue
endif
do 31 j=l,n
V(i,j)=0.0
V(j,i)=0.0
31 continue
endif
V(i,i)=1.0
g=rv1(i)
l=i
32 continue
do 39 i=min(m,n),1,-1
l=i+1
g=w(i)
do 33 j=l,n
A(i,j)=0.0
33 continue
if(g.ne.0.0)then
g=1.0/g
do 36 j=l,n
s=0.0
do 34 k=l,m
s=s+A(k,i)*A(k,j)
34 continue
f=(s/A(i,i))*g
do 35 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
35 continue
36 continue
do 37 j=i,m
A(j,i)=A(j,i)*g
37 continue
else
do 38 j= i,m
A(j,i)=0.0
38 continue
endif
A(i,i)=A(i,i)+1.0
39 continue
do 49 k=n,1,-1
do 48 its=1,30
do 41 l=k,1,-1
nm=l-1
if((abs(rv1(l))+anorm).eq.anorm) goto 2
if((abs(w(nm))+anorm).eq.anorm) goto 1
41 continue
1 c=0.0
s=1.0
do 43 i=l,k
f=s*rv1(i)
rv1(i)=c*rv1(i)
if((abs(f)+anorm).eq.anorm) goto 2
g=w(i)
call pythag(f,g,h)
w(i)=h
h=1.0/h
c= (g*h)
s=-(f*h)
do 42 j=1,m
y=A(j,nm)
z=A(j,i)
A(j,nm)=(y*c)+(z*s)
A(j,i)=-(y*s)+(z*c)
42 continue
43 continue
2 z=w(k)
if(l.eq.k)then
if(z.lt.0.0)then
w(k)=-z
do 44 j=1,n
V(j,k)=-V(j,k)
44 continue
endif
goto 3
endif
if(its.eq.30) then !pause 'no convergence in svdcmp'
err=1
endif
x=w(l)
nm=k-1
y=w(nm)
g=rv1(nm)
h=rv1(k)
f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y)
call pythag(f,1.0d+0,g)
f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x
c=1.0
s=1.0
do 47 j=l,nm
i=j+1
g=rv1(i)
y=w(i)
h=s*g
g=c*g
call pythag(f,h,z)
rv1(j)=z
c=f/z
s=h/z
f= (x*c)+(g*s)
g=-(x*s)+(g*c)
h=y*s
y=y*c
do 45 jj=1,n
x=V(jj,j)
z=V(jj,i)
V(jj,j)= (x*c)+(z*s)
V(jj,i)=-(x*s)+(z*c)
45 continue
call pythag(f,h,z)
w(j)=z
if(z.ne.0.0)then
z=1.0/z
c=f*z
s=h*z
endif
f= (c*g)+(s*y)
x=-(s*g)+(c*y)
do 46 jj=1,m
y=A(jj,j)
z=A(jj,i)
A(jj,j)= (y*c)+(z*s)
A(jj,i)=-(y*s)+(z*c)
46 continue
47 continue
rv1(l)=0.0
rv1(k)=f
w(k)=x
48 continue
3 continue
49 continue
return
end subroutine svdcmp
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
!
!
subroutine pythag(a,b,pyt)
implicit none
real(8), intent(in):: a,b
real(8), intent(out):: pyt
real(8) absa,absb
absa=abs(a)
absb=abs(b)
if(absa.gt.absb)then
pyt=absa*sqrt(1.+(absb/absa)**2)
else
if(absb.eq.0.)then
pyt=0.
else
pyt=absb*sqrt(1.+(absa/absb)**2)
endif
endif
return
end subroutine pythag
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
end module utilities
================================================
FILE: Neper2Abaqus/Step-1 Neper/abq_hex.inp
================================================
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1649, 0.928571428571, 0.285714285714, 0.500000000000
1650, 1.000000000000, 0.285714285714, 0.500000000000
1651, 0.000000000000, 0.357142857143, 0.500000000000
1652, 0.071428571429, 0.357142857143, 0.500000000000
1653, 0.142857142857, 0.357142857143, 0.500000000000
1654, 0.214285714286, 0.357142857143, 0.500000000000
1655, 0.285714285714, 0.357142857143, 0.500000000000
1656, 0.357142857143, 0.357142857143, 0.500000000000
1657, 0.428571428571, 0.357142857143, 0.500000000000
1658, 0.500000000000, 0.357142857143, 0.500000000000
1659, 0.571428571429, 0.357142857143, 0.500000000000
1660, 0.642857142857, 0.357142857143, 0.500000000000
1661, 0.714285714286, 0.357142857143, 0.500000000000
1662, 0.785714285714, 0.357142857143, 0.500000000000
1663, 0.857142857143, 0.357142857143, 0.500000000000
1664, 0.928571428571, 0.357142857143, 0.500000000000
1665, 1.000000000000, 0.357142857143, 0.500000000000
1666, 0.000000000000, 0.428571428571, 0.500000000000
1667, 0.071428571429, 0.428571428571, 0.500000000000
1668, 0.142857142857, 0.428571428571, 0.500000000000
1669, 0.214285714286, 0.428571428571, 0.500000000000
1670, 0.285714285714, 0.428571428571, 0.500000000000
1671, 0.357142857143, 0.428571428571, 0.500000000000
1672, 0.428571428571, 0.428571428571, 0.500000000000
1673, 0.500000000000, 0.428571428571, 0.500000000000
1674, 0.571428571429, 0.428571428571, 0.500000000000
1675, 0.642857142857, 0.428571428571, 0.500000000000
1676, 0.714285714286, 0.428571428571, 0.500000000000
1677, 0.785714285714, 0.428571428571, 0.500000000000
1678, 0.857142857143, 0.428571428571, 0.500000000000
1679, 0.928571428571, 0.428571428571, 0.500000000000
1680, 1.000000000000, 0.428571428571, 0.500000000000
1681, 0.000000000000, 0.500000000000, 0.500000000000
1682, 0.071428571429, 0.500000000000, 0.500000000000
1683, 0.142857142857, 0.500000000000, 0.500000000000
1684, 0.214285714286, 0.500000000000, 0.500000000000
1685, 0.285714285714, 0.500000000000, 0.500000000000
1686, 0.357142857143, 0.500000000000, 0.500000000000
1687, 0.428571428571, 0.500000000000, 0.500000000000
1688, 0.500000000000, 0.500000000000, 0.500000000000
1689, 0.571428571429, 0.500000000000, 0.500000000000
1690, 0.642857142857, 0.500000000000, 0.500000000000
1691, 0.714285714286, 0.500000000000, 0.500000000000
1692, 0.785714285714, 0.500000000000, 0.500000000000
1693, 0.857142857143, 0.500000000000, 0.500000000000
1694, 0.928571428571, 0.500000000000, 0.500000000000
1695, 1.000000000000, 0.500000000000, 0.500000000000
1696, 0.000000000000, 0.571428571429, 0.500000000000
1697, 0.071428571429, 0.571428571429, 0.500000000000
1698, 0.142857142857, 0.571428571429, 0.500000000000
1699, 0.214285714286, 0.571428571429, 0.500000000000
1700, 0.285714285714, 0.571428571429, 0.500000000000
1701, 0.357142857143, 0.571428571429, 0.500000000000
1702, 0.428571428571, 0.571428571429, 0.500000000000
1703, 0.500000000000, 0.571428571429, 0.500000000000
1704, 0.571428571429, 0.571428571429, 0.500000000000
1705, 0.642857142857, 0.571428571429, 0.500000000000
1706, 0.714285714286, 0.571428571429, 0.500000000000
1707, 0.785714285714, 0.571428571429, 0.500000000000
1708, 0.857142857143, 0.571428571429, 0.500000000000
1709, 0.928571428571, 0.571428571429, 0.500000000000
1710, 1.000000000000, 0.571428571429, 0.500000000000
1711, 0.000000000000, 0.642857142857, 0.500000000000
1712, 0.071428571429, 0.642857142857, 0.500000000000
1713, 0.142857142857, 0.642857142857, 0.500000000000
1714, 0.214285714286, 0.642857142857, 0.500000000000
1715, 0.285714285714, 0.642857142857, 0.500000000000
1716, 0.357142857143, 0.642857142857, 0.500000000000
1717, 0.428571428571, 0.642857142857, 0.500000000000
1718, 0.500000000000, 0.642857142857, 0.500000000000
1719, 0.571428571429, 0.642857142857, 0.500000000000
1720, 0.642857142857, 0.642857142857, 0.500000000000
1721, 0.714285714286, 0.642857142857, 0.500000000000
1722, 0.785714285714, 0.642857142857, 0.500000000000
1723, 0.857142857143, 0.642857142857, 0.500000000000
1724, 0.928571428571, 0.642857142857, 0.500000000000
1725, 1.000000000000, 0.642857142857, 0.500000000000
1726, 0.000000000000, 0.714285714286, 0.500000000000
1727, 0.071428571429, 0.714285714286, 0.500000000000
1728, 0.142857142857, 0.714285714286, 0.500000000000
1729, 0.214285714286, 0.714285714286, 0.500000000000
1730, 0.285714285714, 0.714285714286, 0.500000000000
1731, 0.357142857143, 0.714285714286, 0.500000000000
1732, 0.428571428571, 0.714285714286, 0.500000000000
1733, 0.500000000000, 0.714285714286, 0.500000000000
1734, 0.571428571429, 0.714285714286, 0.500000000000
1735, 0.642857142857, 0.714285714286, 0.500000000000
1736, 0.714285714286, 0.714285714286, 0.500000000000
1737, 0.785714285714, 0.714285714286, 0.500000000000
1738, 0.857142857143, 0.714285714286, 0.500000000000
1739, 0.928571428571, 0.714285714286, 0.500000000000
1740, 1.000000000000, 0.714285714286, 0.500000000000
1741, 0.000000000000, 0.785714285714, 0.500000000000
1742, 0.071428571429, 0.785714285714, 0.500000000000
1743, 0.142857142857, 0.785714285714, 0.500000000000
1744, 0.214285714286, 0.785714285714, 0.500000000000
1745, 0.285714285714, 0.785714285714, 0.500000000000
1746, 0.357142857143, 0.785714285714, 0.500000000000
1747, 0.428571428571, 0.785714285714, 0.500000000000
1748, 0.500000000000, 0.785714285714, 0.500000000000
1749, 0.571428571429, 0.785714285714, 0.500000000000
1750, 0.642857142857, 0.785714285714, 0.500000000000
1751, 0.714285714286, 0.785714285714, 0.500000000000
1752, 0.785714285714, 0.785714285714, 0.500000000000
1753, 0.857142857143, 0.785714285714, 0.500000000000
1754, 0.928571428571, 0.785714285714, 0.500000000000
1755, 1.000000000000, 0.785714285714, 0.500000000000
1756, 0.000000000000, 0.857142857143, 0.500000000000
1757, 0.071428571429, 0.857142857143, 0.500000000000
1758, 0.142857142857, 0.857142857143, 0.500000000000
1759, 0.214285714286, 0.857142857143, 0.500000000000
1760, 0.285714285714, 0.857142857143, 0.500000000000
1761, 0.357142857143, 0.857142857143, 0.500000000000
1762, 0.428571428571, 0.857142857143, 0.500000000000
1763, 0.500000000000, 0.857142857143, 0.500000000000
1764, 0.571428571429, 0.857142857143, 0.500000000000
1765, 0.642857142857, 0.857142857143, 0.500000000000
1766, 0.714285714286, 0.857142857143, 0.500000000000
1767, 0.785714285714, 0.857142857143, 0.500000000000
1768, 0.857142857143, 0.857142857143, 0.500000000000
1769, 0.928571428571, 0.857142857143, 0.500000000000
1770, 1.000000000000, 0.857142857143, 0.500000000000
1771, 0.000000000000, 0.928571428571, 0.500000000000
1772, 0.071428571429, 0.928571428571, 0.500000000000
1773, 0.142857142857, 0.928571428571, 0.500000000000
1774, 0.214285714286, 0.928571428571, 0.500000000000
1775, 0.285714285714, 0.928571428571, 0.500000000000
1776, 0.357142857143, 0.928571428571, 0.500000000000
1777, 0.428571428571, 0.928571428571, 0.500000000000
1778, 0.500000000000, 0.928571428571, 0.500000000000
1779, 0.571428571429, 0.928571428571, 0.500000000000
1780, 0.642857142857, 0.928571428571, 0.500000000000
1781, 0.714285714286, 0.928571428571, 0.500000000000
1782, 0.785714285714, 0.928571428571, 0.500000000000
1783, 0.857142857143, 0.928571428571, 0.500000000000
1784, 0.928571428571, 0.928571428571, 0.500000000000
1785, 1.000000000000, 0.928571428571, 0.500000000000
1786, 0.000000000000, 1.000000000000, 0.500000000000
1787, 0.071428571429, 1.000000000000, 0.500000000000
1788, 0.142857142857, 1.000000000000, 0.500000000000
1789, 0.214285714286, 1.000000000000, 0.500000000000
1790, 0.285714285714, 1.000000000000, 0.500000000000
1791, 0.357142857143, 1.000000000000, 0.500000000000
1792, 0.428571428571, 1.000000000000, 0.500000000000
1793, 0.500000000000, 1.000000000000, 0.500000000000
1794, 0.571428571429, 1.000000000000, 0.500000000000
1795, 0.642857142857, 1.000000000000, 0.500000000000
1796, 0.714285714286, 1.000000000000, 0.500000000000
1797, 0.785714285714, 1.000000000000, 0.500000000000
1798, 0.857142857143, 1.000000000000, 0.500000000000
1799, 0.928571428571, 1.000000000000, 0.500000000000
1800, 1.000000000000, 1.000000000000, 0.500000000000
1801, 0.000000000000, 0.000000000000, 0.571428571429
1802, 0.071428571429, 0.000000000000, 0.571428571429
1803, 0.142857142857, 0.000000000000, 0.571428571429
1804, 0.214285714286, 0.000000000000, 0.571428571429
1805, 0.285714285714, 0.000000000000, 0.571428571429
1806, 0.357142857143, 0.000000000000, 0.571428571429
1807, 0.428571428571, 0.000000000000, 0.571428571429
1808, 0.500000000000, 0.000000000000, 0.571428571429
1809, 0.571428571429, 0.000000000000, 0.571428571429
1810, 0.642857142857, 0.000000000000, 0.571428571429
1811, 0.714285714286, 0.000000000000, 0.571428571429
1812, 0.785714285714, 0.000000000000, 0.571428571429
1813, 0.857142857143, 0.000000000000, 0.571428571429
1814, 0.928571428571, 0.000000000000, 0.571428571429
1815, 1.000000000000, 0.000000000000, 0.571428571429
1816, 0.000000000000, 0.071428571429, 0.571428571429
1817, 0.071428571429, 0.071428571429, 0.571428571429
1818, 0.142857142857, 0.071428571429, 0.571428571429
1819, 0.214285714286, 0.071428571429, 0.571428571429
1820, 0.285714285714, 0.071428571429, 0.571428571429
1821, 0.357142857143, 0.071428571429, 0.571428571429
1822, 0.428571428571, 0.071428571429, 0.571428571429
1823, 0.500000000000, 0.071428571429, 0.571428571429
1824, 0.571428571429, 0.071428571429, 0.571428571429
1825, 0.642857142857, 0.071428571429, 0.571428571429
1826, 0.714285714286, 0.071428571429, 0.571428571429
1827, 0.785714285714, 0.071428571429, 0.571428571429
1828, 0.857142857143, 0.071428571429, 0.571428571429
1829, 0.928571428571, 0.071428571429, 0.571428571429
1830, 1.000000000000, 0.071428571429, 0.571428571429
1831, 0.000000000000, 0.142857142857, 0.571428571429
1832, 0.071428571429, 0.142857142857, 0.571428571429
1833, 0.142857142857, 0.142857142857, 0.571428571429
1834, 0.214285714286, 0.142857142857, 0.571428571429
1835, 0.285714285714, 0.142857142857, 0.571428571429
1836, 0.357142857143, 0.142857142857, 0.571428571429
1837, 0.428571428571, 0.142857142857, 0.571428571429
1838, 0.500000000000, 0.142857142857, 0.571428571429
1839, 0.571428571429, 0.142857142857, 0.571428571429
1840, 0.642857142857, 0.142857142857, 0.571428571429
1841, 0.714285714286, 0.142857142857, 0.571428571429
1842, 0.785714285714, 0.142857142857, 0.571428571429
1843, 0.857142857143, 0.142857142857, 0.571428571429
1844, 0.928571428571, 0.142857142857, 0.571428571429
1845, 1.000000000000, 0.142857142857, 0.571428571429
1846, 0.000000000000, 0.214285714286, 0.571428571429
1847, 0.071428571429, 0.214285714286, 0.571428571429
1848, 0.142857142857, 0.214285714286, 0.571428571429
1849, 0.214285714286, 0.214285714286, 0.571428571429
1850, 0.285714285714, 0.214285714286, 0.571428571429
1851, 0.357142857143, 0.214285714286, 0.571428571429
1852, 0.428571428571, 0.214285714286, 0.571428571429
1853, 0.500000000000, 0.214285714286, 0.571428571429
1854, 0.571428571429, 0.214285714286, 0.571428571429
1855, 0.642857142857, 0.214285714286, 0.571428571429
1856, 0.714285714286, 0.214285714286, 0.571428571429
1857, 0.785714285714, 0.214285714286, 0.571428571429
1858, 0.857142857143, 0.214285714286, 0.571428571429
1859, 0.928571428571, 0.214285714286, 0.571428571429
1860, 1.000000000000, 0.214285714286, 0.571428571429
1861, 0.000000000000, 0.285714285714, 0.571428571429
1862, 0.071428571429, 0.285714285714, 0.571428571429
1863, 0.142857142857, 0.285714285714, 0.571428571429
1864, 0.214285714286, 0.285714285714, 0.571428571429
1865, 0.285714285714, 0.285714285714, 0.571428571429
1866, 0.357142857143, 0.285714285714, 0.571428571429
1867, 0.428571428571, 0.285714285714, 0.571428571429
1868, 0.500000000000, 0.285714285714, 0.571428571429
1869, 0.571428571429, 0.285714285714, 0.571428571429
1870, 0.642857142857, 0.285714285714, 0.571428571429
1871, 0.714285714286, 0.285714285714, 0.571428571429
1872, 0.785714285714, 0.285714285714, 0.571428571429
1873, 0.857142857143, 0.285714285714, 0.571428571429
1874, 0.928571428571, 0.285714285714, 0.571428571429
1875, 1.000000000000, 0.285714285714, 0.571428571429
1876, 0.000000000000, 0.357142857143, 0.571428571429
1877, 0.071428571429, 0.357142857143, 0.571428571429
1878, 0.142857142857, 0.357142857143, 0.571428571429
1879, 0.214285714286, 0.357142857143, 0.571428571429
1880, 0.285714285714, 0.357142857143, 0.571428571429
1881, 0.357142857143, 0.357142857143, 0.571428571429
1882, 0.428571428571, 0.357142857143, 0.571428571429
1883, 0.500000000000, 0.357142857143, 0.571428571429
1884, 0.571428571429, 0.357142857143, 0.571428571429
1885, 0.642857142857, 0.357142857143, 0.571428571429
1886, 0.714285714286, 0.357142857143, 0.571428571429
1887, 0.785714285714, 0.357142857143, 0.571428571429
1888, 0.857142857143, 0.357142857143, 0.571428571429
1889, 0.928571428571, 0.357142857143, 0.571428571429
1890, 1.000000000000, 0.357142857143, 0.571428571429
1891, 0.000000000000, 0.428571428571, 0.571428571429
1892, 0.071428571429, 0.428571428571, 0.571428571429
1893, 0.142857142857, 0.428571428571, 0.571428571429
1894, 0.214285714286, 0.428571428571, 0.571428571429
1895, 0.285714285714, 0.428571428571, 0.571428571429
1896, 0.357142857143, 0.428571428571, 0.571428571429
1897, 0.428571428571, 0.428571428571, 0.571428571429
1898, 0.500000000000, 0.428571428571, 0.571428571429
1899, 0.571428571429, 0.428571428571, 0.571428571429
1900, 0.642857142857, 0.428571428571, 0.571428571429
1901, 0.714285714286, 0.428571428571, 0.571428571429
1902, 0.785714285714, 0.428571428571, 0.571428571429
1903, 0.857142857143, 0.428571428571, 0.571428571429
1904, 0.928571428571, 0.428571428571, 0.571428571429
1905, 1.000000000000, 0.428571428571, 0.571428571429
1906, 0.000000000000, 0.500000000000, 0.571428571429
1907, 0.071428571429, 0.500000000000, 0.571428571429
1908, 0.142857142857, 0.500000000000, 0.571428571429
1909, 0.214285714286, 0.500000000000, 0.571428571429
1910, 0.285714285714, 0.500000000000, 0.571428571429
1911, 0.357142857143, 0.500000000000, 0.571428571429
1912, 0.428571428571, 0.500000000000, 0.571428571429
1913, 0.500000000000, 0.500000000000, 0.571428571429
1914, 0.571428571429, 0.500000000000, 0.571428571429
1915, 0.642857142857, 0.500000000000, 0.571428571429
1916, 0.714285714286, 0.500000000000, 0.571428571429
1917, 0.785714285714, 0.500000000000, 0.571428571429
1918, 0.857142857143, 0.500000000000, 0.571428571429
1919, 0.928571428571, 0.500000000000, 0.571428571429
1920, 1.000000000000, 0.500000000000, 0.571428571429
1921, 0.000000000000, 0.571428571429, 0.571428571429
1922, 0.071428571429, 0.571428571429, 0.571428571429
1923, 0.142857142857, 0.571428571429, 0.571428571429
1924, 0.214285714286, 0.571428571429, 0.571428571429
1925, 0.285714285714, 0.571428571429, 0.571428571429
1926, 0.357142857143, 0.571428571429, 0.571428571429
1927, 0.428571428571, 0.571428571429, 0.571428571429
1928, 0.500000000000, 0.571428571429, 0.571428571429
1929, 0.571428571429, 0.571428571429, 0.571428571429
1930, 0.642857142857, 0.571428571429, 0.571428571429
1931, 0.714285714286, 0.571428571429, 0.571428571429
1932, 0.785714285714, 0.571428571429, 0.571428571429
1933, 0.857142857143, 0.571428571429, 0.571428571429
1934, 0.928571428571, 0.571428571429, 0.571428571429
1935, 1.000000000000, 0.571428571429, 0.571428571429
1936, 0.000000000000, 0.642857142857, 0.571428571429
1937, 0.071428571429, 0.642857142857, 0.571428571429
1938, 0.142857142857, 0.642857142857, 0.571428571429
1939, 0.214285714286, 0.642857142857, 0.571428571429
1940, 0.285714285714, 0.642857142857, 0.571428571429
1941, 0.357142857143, 0.642857142857, 0.571428571429
1942, 0.428571428571, 0.642857142857, 0.571428571429
1943, 0.500000000000, 0.642857142857, 0.571428571429
1944, 0.571428571429, 0.642857142857, 0.571428571429
1945, 0.642857142857, 0.642857142857, 0.571428571429
1946, 0.714285714286, 0.642857142857, 0.571428571429
1947, 0.785714285714, 0.642857142857, 0.571428571429
1948, 0.857142857143, 0.642857142857, 0.571428571429
1949, 0.928571428571, 0.642857142857, 0.571428571429
1950, 1.000000000000, 0.642857142857, 0.571428571429
1951, 0.000000000000, 0.714285714286, 0.571428571429
1952, 0.071428571429, 0.714285714286, 0.571428571429
1953, 0.142857142857, 0.714285714286, 0.571428571429
1954, 0.214285714286, 0.714285714286, 0.571428571429
1955, 0.285714285714, 0.714285714286, 0.571428571429
1956, 0.357142857143, 0.714285714286, 0.571428571429
1957, 0.428571428571, 0.714285714286, 0.571428571429
1958, 0.500000000000, 0.714285714286, 0.571428571429
1959, 0.571428571429, 0.714285714286, 0.571428571429
1960, 0.642857142857, 0.714285714286, 0.571428571429
1961, 0.714285714286, 0.714285714286, 0.571428571429
1962, 0.785714285714, 0.714285714286, 0.571428571429
1963, 0.857142857143, 0.714285714286, 0.571428571429
1964, 0.928571428571, 0.714285714286, 0.571428571429
1965, 1.000000000000, 0.714285714286, 0.571428571429
1966, 0.000000000000, 0.785714285714, 0.571428571429
1967, 0.071428571429, 0.785714285714, 0.571428571429
1968, 0.142857142857, 0.785714285714, 0.571428571429
1969, 0.214285714286, 0.785714285714, 0.571428571429
1970, 0.285714285714, 0.785714285714, 0.571428571429
1971, 0.357142857143, 0.785714285714, 0.571428571429
1972, 0.428571428571, 0.785714285714, 0.571428571429
1973, 0.500000000000, 0.785714285714, 0.571428571429
1974, 0.571428571429, 0.785714285714, 0.571428571429
1975, 0.642857142857, 0.785714285714, 0.571428571429
1976, 0.714285714286, 0.785714285714, 0.571428571429
1977, 0.785714285714, 0.785714285714, 0.571428571429
1978, 0.857142857143, 0.785714285714, 0.571428571429
1979, 0.928571428571, 0.785714285714, 0.571428571429
1980, 1.000000000000, 0.785714285714, 0.571428571429
1981, 0.000000000000, 0.857142857143, 0.571428571429
1982, 0.071428571429, 0.857142857143, 0.571428571429
1983, 0.142857142857, 0.857142857143, 0.571428571429
1984, 0.214285714286, 0.857142857143, 0.571428571429
1985, 0.285714285714, 0.857142857143, 0.571428571429
1986, 0.357142857143, 0.857142857143, 0.571428571429
1987, 0.428571428571, 0.857142857143, 0.571428571429
1988, 0.500000000000, 0.857142857143, 0.571428571429
1989, 0.571428571429, 0.857142857143, 0.571428571429
1990, 0.642857142857, 0.857142857143, 0.571428571429
1991, 0.714285714286, 0.857142857143, 0.571428571429
1992, 0.785714285714, 0.857142857143, 0.571428571429
1993, 0.857142857143, 0.857142857143, 0.571428571429
1994, 0.928571428571, 0.857142857143, 0.571428571429
1995, 1.000000000000, 0.857142857143, 0.571428571429
1996, 0.000000000000, 0.928571428571, 0.571428571429
1997, 0.071428571429, 0.928571428571, 0.571428571429
1998, 0.142857142857, 0.928571428571, 0.571428571429
1999, 0.214285714286, 0.928571428571, 0.571428571429
2000, 0.285714285714, 0.928571428571, 0.571428571429
2001, 0.357142857143, 0.928571428571, 0.571428571429
2002, 0.428571428571, 0.928571428571, 0.571428571429
2003, 0.500000000000, 0.928571428571, 0.571428571429
2004, 0.571428571429, 0.928571428571, 0.571428571429
2005, 0.642857142857, 0.928571428571, 0.571428571429
2006, 0.714285714286, 0.928571428571, 0.571428571429
2007, 0.785714285714, 0.928571428571, 0.571428571429
2008, 0.857142857143, 0.928571428571, 0.571428571429
2009, 0.928571428571, 0.928571428571, 0.571428571429
2010, 1.000000000000, 0.928571428571, 0.571428571429
2011, 0.000000000000, 1.000000000000, 0.571428571429
2012, 0.071428571429, 1.000000000000, 0.571428571429
2013, 0.142857142857, 1.000000000000, 0.571428571429
2014, 0.214285714286, 1.000000000000, 0.571428571429
2015, 0.285714285714, 1.000000000000, 0.571428571429
2016, 0.357142857143, 1.000000000000, 0.571428571429
2017, 0.428571428571, 1.000000000000, 0.571428571429
2018, 0.500000000000, 1.000000000000, 0.571428571429
2019, 0.571428571429, 1.000000000000, 0.571428571429
2020, 0.642857142857, 1.000000000000, 0.571428571429
2021, 0.714285714286, 1.000000000000, 0.571428571429
2022, 0.785714285714, 1.000000000000, 0.571428571429
2023, 0.857142857143, 1.000000000000, 0.571428571429
2024, 0.928571428571, 1.000000000000, 0.571428571429
2025, 1.000000000000, 1.000000000000, 0.571428571429
2026, 0.000000000000, 0.000000000000, 0.642857142857
2027, 0.071428571429, 0.000000000000, 0.642857142857
2028, 0.142857142857, 0.000000000000, 0.642857142857
2029, 0.214285714286, 0.000000000000, 0.642857142857
2030, 0.285714285714, 0.000000000000, 0.642857142857
2031, 0.357142857143, 0.000000000000, 0.642857142857
2032, 0.428571428571, 0.000000000000, 0.642857142857
2033, 0.500000000000, 0.000000000000, 0.642857142857
2034, 0.571428571429, 0.000000000000, 0.642857142857
2035, 0.642857142857, 0.000000000000, 0.642857142857
2036, 0.714285714286, 0.000000000000, 0.642857142857
2037, 0.785714285714, 0.000000000000, 0.642857142857
2038, 0.857142857143, 0.000000000000, 0.642857142857
2039, 0.928571428571, 0.000000000000, 0.642857142857
2040, 1.000000000000, 0.000000000000, 0.642857142857
2041, 0.000000000000, 0.071428571429, 0.642857142857
2042, 0.071428571429, 0.071428571429, 0.642857142857
2043, 0.142857142857, 0.071428571429, 0.642857142857
2044, 0.214285714286, 0.071428571429, 0.642857142857
2045, 0.285714285714, 0.071428571429, 0.642857142857
2046, 0.357142857143, 0.071428571429, 0.642857142857
2047, 0.428571428571, 0.071428571429, 0.642857142857
2048, 0.500000000000, 0.071428571429, 0.642857142857
2049, 0.571428571429, 0.071428571429, 0.642857142857
2050, 0.642857142857, 0.071428571429, 0.642857142857
2051, 0.714285714286, 0.071428571429, 0.642857142857
2052, 0.785714285714, 0.071428571429, 0.642857142857
2053, 0.857142857143, 0.071428571429, 0.642857142857
2054, 0.928571428571, 0.071428571429, 0.642857142857
2055, 1.000000000000, 0.071428571429, 0.642857142857
2056, 0.000000000000, 0.142857142857, 0.642857142857
2057, 0.071428571429, 0.142857142857, 0.642857142857
2058, 0.142857142857, 0.142857142857, 0.642857142857
2059, 0.214285714286, 0.142857142857, 0.642857142857
2060, 0.285714285714, 0.142857142857, 0.642857142857
2061, 0.357142857143, 0.142857142857, 0.642857142857
2062, 0.428571428571, 0.142857142857, 0.642857142857
2063, 0.500000000000, 0.142857142857, 0.642857142857
2064, 0.571428571429, 0.142857142857, 0.642857142857
2065, 0.642857142857, 0.142857142857, 0.642857142857
2066, 0.714285714286, 0.142857142857, 0.642857142857
2067, 0.785714285714, 0.142857142857, 0.642857142857
2068, 0.857142857143, 0.142857142857, 0.642857142857
2069, 0.928571428571, 0.142857142857, 0.642857142857
2070, 1.000000000000, 0.142857142857, 0.642857142857
2071, 0.000000000000, 0.214285714286, 0.642857142857
2072, 0.071428571429, 0.214285714286, 0.642857142857
2073, 0.142857142857, 0.214285714286, 0.642857142857
2074, 0.214285714286, 0.214285714286, 0.642857142857
2075, 0.285714285714, 0.214285714286, 0.642857142857
2076, 0.357142857143, 0.214285714286, 0.642857142857
2077, 0.428571428571, 0.214285714286, 0.642857142857
2078, 0.500000000000, 0.214285714286, 0.642857142857
2079, 0.571428571429, 0.214285714286, 0.642857142857
2080, 0.642857142857, 0.214285714286, 0.642857142857
2081, 0.714285714286, 0.214285714286, 0.642857142857
2082, 0.785714285714, 0.214285714286, 0.642857142857
2083, 0.857142857143, 0.214285714286, 0.642857142857
2084, 0.928571428571, 0.214285714286, 0.642857142857
2085, 1.000000000000, 0.214285714286, 0.642857142857
2086, 0.000000000000, 0.285714285714, 0.642857142857
2087, 0.071428571429, 0.285714285714, 0.642857142857
2088, 0.142857142857, 0.285714285714, 0.642857142857
2089, 0.214285714286, 0.285714285714, 0.642857142857
2090, 0.285714285714, 0.285714285714, 0.642857142857
2091, 0.357142857143, 0.285714285714, 0.642857142857
2092, 0.428571428571, 0.285714285714, 0.642857142857
2093, 0.500000000000, 0.285714285714, 0.642857142857
2094, 0.571428571429, 0.285714285714, 0.642857142857
2095, 0.642857142857, 0.285714285714, 0.642857142857
2096, 0.714285714286, 0.285714285714, 0.642857142857
2097, 0.785714285714, 0.285714285714, 0.642857142857
2098, 0.857142857143, 0.285714285714, 0.642857142857
2099, 0.928571428571, 0.285714285714, 0.642857142857
2100, 1.000000000000, 0.285714285714, 0.642857142857
2101, 0.000000000000, 0.357142857143, 0.642857142857
2102, 0.071428571429, 0.357142857143, 0.642857142857
2103, 0.142857142857, 0.357142857143, 0.642857142857
2104, 0.214285714286, 0.357142857143, 0.642857142857
2105, 0.285714285714, 0.357142857143, 0.642857142857
2106, 0.357142857143, 0.357142857143, 0.642857142857
2107, 0.428571428571, 0.357142857143, 0.642857142857
2108, 0.500000000000, 0.357142857143, 0.642857142857
2109, 0.571428571429, 0.357142857143, 0.642857142857
2110, 0.642857142857, 0.357142857143, 0.642857142857
2111, 0.714285714286, 0.357142857143, 0.642857142857
2112, 0.785714285714, 0.357142857143, 0.642857142857
2113, 0.857142857143, 0.357142857143, 0.642857142857
2114, 0.928571428571, 0.357142857143, 0.642857142857
2115, 1.000000000000, 0.357142857143, 0.642857142857
2116, 0.000000000000, 0.428571428571, 0.642857142857
2117, 0.071428571429, 0.428571428571, 0.642857142857
2118, 0.142857142857, 0.428571428571, 0.642857142857
2119, 0.214285714286, 0.428571428571, 0.642857142857
2120, 0.285714285714, 0.428571428571, 0.642857142857
2121, 0.357142857143, 0.428571428571, 0.642857142857
2122, 0.428571428571, 0.428571428571, 0.642857142857
2123, 0.500000000000, 0.428571428571, 0.642857142857
2124, 0.571428571429, 0.428571428571, 0.642857142857
2125, 0.642857142857, 0.428571428571, 0.642857142857
2126, 0.714285714286, 0.428571428571, 0.642857142857
2127, 0.785714285714, 0.428571428571, 0.642857142857
2128, 0.857142857143, 0.428571428571, 0.642857142857
2129, 0.928571428571, 0.428571428571, 0.642857142857
2130, 1.000000000000, 0.428571428571, 0.642857142857
2131, 0.000000000000, 0.500000000000, 0.642857142857
2132, 0.071428571429, 0.500000000000, 0.642857142857
2133, 0.142857142857, 0.500000000000, 0.642857142857
2134, 0.214285714286, 0.500000000000, 0.642857142857
2135, 0.285714285714, 0.500000000000, 0.642857142857
2136, 0.357142857143, 0.500000000000, 0.642857142857
2137, 0.428571428571, 0.500000000000, 0.642857142857
2138, 0.500000000000, 0.500000000000, 0.642857142857
2139, 0.571428571429, 0.500000000000, 0.642857142857
2140, 0.642857142857, 0.500000000000, 0.642857142857
2141, 0.714285714286, 0.500000000000, 0.642857142857
2142, 0.785714285714, 0.500000000000, 0.642857142857
2143, 0.857142857143, 0.500000000000, 0.642857142857
2144, 0.928571428571, 0.500000000000, 0.642857142857
2145, 1.000000000000, 0.500000000000, 0.642857142857
2146, 0.000000000000, 0.571428571429, 0.642857142857
2147, 0.071428571429, 0.571428571429, 0.642857142857
2148, 0.142857142857, 0.571428571429, 0.642857142857
2149, 0.214285714286, 0.571428571429, 0.642857142857
2150, 0.285714285714, 0.571428571429, 0.642857142857
2151, 0.357142857143, 0.571428571429, 0.642857142857
2152, 0.428571428571, 0.571428571429, 0.642857142857
2153, 0.500000000000, 0.571428571429, 0.642857142857
2154, 0.571428571429, 0.571428571429, 0.642857142857
2155, 0.642857142857, 0.571428571429, 0.642857142857
2156, 0.714285714286, 0.571428571429, 0.642857142857
2157, 0.785714285714, 0.571428571429, 0.642857142857
2158, 0.857142857143, 0.571428571429, 0.642857142857
2159, 0.928571428571, 0.571428571429, 0.642857142857
2160, 1.000000000000, 0.571428571429, 0.642857142857
2161, 0.000000000000, 0.642857142857, 0.642857142857
2162, 0.071428571429, 0.642857142857, 0.642857142857
2163, 0.142857142857, 0.642857142857, 0.642857142857
2164, 0.214285714286, 0.642857142857, 0.642857142857
2165, 0.285714285714, 0.642857142857, 0.642857142857
2166, 0.357142857143, 0.642857142857, 0.642857142857
2167, 0.428571428571, 0.642857142857, 0.642857142857
2168, 0.500000000000, 0.642857142857, 0.642857142857
2169, 0.571428571429, 0.642857142857, 0.642857142857
2170, 0.642857142857, 0.642857142857, 0.642857142857
2171, 0.714285714286, 0.642857142857, 0.642857142857
2172, 0.785714285714, 0.642857142857, 0.642857142857
2173, 0.857142857143, 0.642857142857, 0.642857142857
2174, 0.928571428571, 0.642857142857, 0.642857142857
2175, 1.000000000000, 0.642857142857, 0.642857142857
2176, 0.000000000000, 0.714285714286, 0.642857142857
2177, 0.071428571429, 0.714285714286, 0.642857142857
2178, 0.142857142857, 0.714285714286, 0.642857142857
2179, 0.214285714286, 0.714285714286, 0.642857142857
2180, 0.285714285714, 0.714285714286, 0.642857142857
2181, 0.357142857143, 0.714285714286, 0.642857142857
2182, 0.428571428571, 0.714285714286, 0.642857142857
2183, 0.500000000000, 0.714285714286, 0.642857142857
2184, 0.571428571429, 0.714285714286, 0.642857142857
2185, 0.642857142857, 0.714285714286, 0.642857142857
2186, 0.714285714286, 0.714285714286, 0.642857142857
2187, 0.785714285714, 0.714285714286, 0.642857142857
2188, 0.857142857143, 0.714285714286, 0.642857142857
2189, 0.928571428571, 0.714285714286, 0.642857142857
2190, 1.000000000000, 0.714285714286, 0.642857142857
2191, 0.000000000000, 0.785714285714, 0.642857142857
2192, 0.071428571429, 0.785714285714, 0.642857142857
2193, 0.142857142857, 0.785714285714, 0.642857142857
2194, 0.214285714286, 0.785714285714, 0.642857142857
2195, 0.285714285714, 0.785714285714, 0.642857142857
2196, 0.357142857143, 0.785714285714, 0.642857142857
2197, 0.428571428571, 0.785714285714, 0.642857142857
2198, 0.500000000000, 0.785714285714, 0.642857142857
2199, 0.571428571429, 0.785714285714, 0.642857142857
2200, 0.642857142857, 0.785714285714, 0.642857142857
2201, 0.714285714286, 0.785714285714, 0.642857142857
2202, 0.785714285714, 0.785714285714, 0.642857142857
2203, 0.857142857143, 0.785714285714, 0.642857142857
2204, 0.928571428571, 0.785714285714, 0.642857142857
2205, 1.000000000000, 0.785714285714, 0.642857142857
2206, 0.000000000000, 0.857142857143, 0.642857142857
2207, 0.071428571429, 0.857142857143, 0.642857142857
2208, 0.142857142857, 0.857142857143, 0.642857142857
2209, 0.214285714286, 0.857142857143, 0.642857142857
2210, 0.285714285714, 0.857142857143, 0.642857142857
2211, 0.357142857143, 0.857142857143, 0.642857142857
2212, 0.428571428571, 0.857142857143, 0.642857142857
2213, 0.500000000000, 0.857142857143, 0.642857142857
2214, 0.571428571429, 0.857142857143, 0.642857142857
2215, 0.642857142857, 0.857142857143, 0.642857142857
2216, 0.714285714286, 0.857142857143, 0.642857142857
2217, 0.785714285714, 0.857142857143, 0.642857142857
2218, 0.857142857143, 0.857142857143, 0.642857142857
2219, 0.928571428571, 0.857142857143, 0.642857142857
2220, 1.000000000000, 0.857142857143, 0.642857142857
2221, 0.000000000000, 0.928571428571, 0.642857142857
2222, 0.071428571429, 0.928571428571, 0.642857142857
2223, 0.142857142857, 0.928571428571, 0.642857142857
2224, 0.214285714286, 0.928571428571, 0.642857142857
2225, 0.285714285714, 0.928571428571, 0.642857142857
2226, 0.357142857143, 0.928571428571, 0.642857142857
2227, 0.428571428571, 0.928571428571, 0.642857142857
2228, 0.500000000000, 0.928571428571, 0.642857142857
2229, 0.571428571429, 0.928571428571, 0.642857142857
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2950, 0.642857142857, 0.071428571429, 0.928571428571
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3088, 0.857142857143, 0.714285714286, 0.928571428571
3089, 0.928571428571, 0.714285714286, 0.928571428571
3090, 1.000000000000, 0.714285714286, 0.928571428571
3091, 0.000000000000, 0.785714285714, 0.928571428571
3092, 0.071428571429, 0.785714285714, 0.928571428571
3093, 0.142857142857, 0.785714285714, 0.928571428571
3094, 0.214285714286, 0.785714285714, 0.928571428571
3095, 0.285714285714, 0.785714285714, 0.928571428571
3096, 0.357142857143, 0.785714285714, 0.928571428571
3097, 0.428571428571, 0.785714285714, 0.928571428571
3098, 0.500000000000, 0.785714285714, 0.928571428571
3099, 0.571428571429, 0.785714285714, 0.928571428571
3100, 0.642857142857, 0.785714285714, 0.928571428571
3101, 0.714285714286, 0.785714285714, 0.928571428571
3102, 0.785714285714, 0.785714285714, 0.928571428571
3103, 0.857142857143, 0.785714285714, 0.928571428571
3104, 0.928571428571, 0.785714285714, 0.928571428571
3105, 1.000000000000, 0.785714285714, 0.928571428571
3106, 0.000000000000, 0.857142857143, 0.928571428571
3107, 0.071428571429, 0.857142857143, 0.928571428571
3108, 0.142857142857, 0.857142857143, 0.928571428571
3109, 0.214285714286, 0.857142857143, 0.928571428571
3110, 0.285714285714, 0.857142857143, 0.928571428571
3111, 0.357142857143, 0.857142857143, 0.928571428571
3112, 0.428571428571, 0.857142857143, 0.928571428571
3113, 0.500000000000, 0.857142857143, 0.928571428571
3114, 0.571428571429, 0.857142857143, 0.928571428571
3115, 0.642857142857, 0.857142857143, 0.928571428571
3116, 0.714285714286, 0.857142857143, 0.928571428571
3117, 0.785714285714, 0.857142857143, 0.928571428571
3118, 0.857142857143, 0.857142857143, 0.928571428571
3119, 0.928571428571, 0.857142857143, 0.928571428571
3120, 1.000000000000, 0.857142857143, 0.928571428571
3121, 0.000000000000, 0.928571428571, 0.928571428571
3122, 0.071428571429, 0.928571428571, 0.928571428571
3123, 0.142857142857, 0.928571428571, 0.928571428571
3124, 0.214285714286, 0.928571428571, 0.928571428571
3125, 0.285714285714, 0.928571428571, 0.928571428571
3126, 0.357142857143, 0.928571428571, 0.928571428571
3127, 0.428571428571, 0.928571428571, 0.928571428571
3128, 0.500000000000, 0.928571428571, 0.928571428571
3129, 0.571428571429, 0.928571428571, 0.928571428571
3130, 0.642857142857, 0.928571428571, 0.928571428571
3131, 0.714285714286, 0.928571428571, 0.928571428571
3132, 0.785714285714, 0.928571428571, 0.928571428571
3133, 0.857142857143, 0.928571428571, 0.928571428571
3134, 0.928571428571, 0.928571428571, 0.928571428571
3135, 1.000000000000, 0.928571428571, 0.928571428571
3136, 0.000000000000, 1.000000000000, 0.928571428571
3137, 0.071428571429, 1.000000000000, 0.928571428571
3138, 0.142857142857, 1.000000000000, 0.928571428571
3139, 0.214285714286, 1.000000000000, 0.928571428571
3140, 0.285714285714, 1.000000000000, 0.928571428571
3141, 0.357142857143, 1.000000000000, 0.928571428571
3142, 0.428571428571, 1.000000000000, 0.928571428571
3143, 0.500000000000, 1.000000000000, 0.928571428571
3144, 0.571428571429, 1.000000000000, 0.928571428571
3145, 0.642857142857, 1.000000000000, 0.928571428571
3146, 0.714285714286, 1.000000000000, 0.928571428571
3147, 0.785714285714, 1.000000000000, 0.928571428571
3148, 0.857142857143, 1.000000000000, 0.928571428571
3149, 0.928571428571, 1.000000000000, 0.928571428571
3150, 1.000000000000, 1.000000000000, 0.928571428571
3151, 0.000000000000, 0.000000000000, 1.000000000000
3152, 0.071428571429, 0.000000000000, 1.000000000000
3153, 0.142857142857, 0.000000000000, 1.000000000000
3154, 0.214285714286, 0.000000000000, 1.000000000000
3155, 0.285714285714, 0.000000000000, 1.000000000000
3156, 0.357142857143, 0.000000000000, 1.000000000000
3157, 0.428571428571, 0.000000000000, 1.000000000000
3158, 0.500000000000, 0.000000000000, 1.000000000000
3159, 0.571428571429, 0.000000000000, 1.000000000000
3160, 0.642857142857, 0.000000000000, 1.000000000000
3161, 0.714285714286, 0.000000000000, 1.000000000000
3162, 0.785714285714, 0.000000000000, 1.000000000000
3163, 0.857142857143, 0.000000000000, 1.000000000000
3164, 0.928571428571, 0.000000000000, 1.000000000000
3165, 1.000000000000, 0.000000000000, 1.000000000000
3166, 0.000000000000, 0.071428571429, 1.000000000000
3167, 0.071428571429, 0.071428571429, 1.000000000000
3168, 0.142857142857, 0.071428571429, 1.000000000000
3169, 0.214285714286, 0.071428571429, 1.000000000000
3170, 0.285714285714, 0.071428571429, 1.000000000000
3171, 0.357142857143, 0.071428571429, 1.000000000000
3172, 0.428571428571, 0.071428571429, 1.000000000000
3173, 0.500000000000, 0.071428571429, 1.000000000000
3174, 0.571428571429, 0.071428571429, 1.000000000000
3175, 0.642857142857, 0.071428571429, 1.000000000000
3176, 0.714285714286, 0.071428571429, 1.000000000000
3177, 0.785714285714, 0.071428571429, 1.000000000000
3178, 0.857142857143, 0.071428571429, 1.000000000000
3179, 0.928571428571, 0.071428571429, 1.000000000000
3180, 1.000000000000, 0.071428571429, 1.000000000000
3181, 0.000000000000, 0.142857142857, 1.000000000000
3182, 0.071428571429, 0.142857142857, 1.000000000000
3183, 0.142857142857, 0.142857142857, 1.000000000000
3184, 0.214285714286, 0.142857142857, 1.000000000000
3185, 0.285714285714, 0.142857142857, 1.000000000000
3186, 0.357142857143, 0.142857142857, 1.000000000000
3187, 0.428571428571, 0.142857142857, 1.000000000000
3188, 0.500000000000, 0.142857142857, 1.000000000000
3189, 0.571428571429, 0.142857142857, 1.000000000000
3190, 0.642857142857, 0.142857142857, 1.000000000000
3191, 0.714285714286, 0.142857142857, 1.000000000000
3192, 0.785714285714, 0.142857142857, 1.000000000000
3193, 0.857142857143, 0.142857142857, 1.000000000000
3194, 0.928571428571, 0.142857142857, 1.000000000000
3195, 1.000000000000, 0.142857142857, 1.000000000000
3196, 0.000000000000, 0.214285714286, 1.000000000000
3197, 0.071428571429, 0.214285714286, 1.000000000000
3198, 0.142857142857, 0.214285714286, 1.000000000000
3199, 0.214285714286, 0.214285714286, 1.000000000000
3200, 0.285714285714, 0.214285714286, 1.000000000000
3201, 0.357142857143, 0.214285714286, 1.000000000000
3202, 0.428571428571, 0.214285714286, 1.000000000000
3203, 0.500000000000, 0.214285714286, 1.000000000000
3204, 0.571428571429, 0.214285714286, 1.000000000000
3205, 0.642857142857, 0.214285714286, 1.000000000000
3206, 0.714285714286, 0.214285714286, 1.000000000000
3207, 0.785714285714, 0.214285714286, 1.000000000000
3208, 0.857142857143, 0.214285714286, 1.000000000000
3209, 0.928571428571, 0.214285714286, 1.000000000000
3210, 1.000000000000, 0.214285714286, 1.000000000000
3211, 0.000000000000, 0.285714285714, 1.000000000000
3212, 0.071428571429, 0.285714285714, 1.000000000000
3213, 0.142857142857, 0.285714285714, 1.000000000000
3214, 0.214285714286, 0.285714285714, 1.000000000000
3215, 0.285714285714, 0.285714285714, 1.000000000000
3216, 0.357142857143, 0.285714285714, 1.000000000000
3217, 0.428571428571, 0.285714285714, 1.000000000000
3218, 0.500000000000, 0.285714285714, 1.000000000000
3219, 0.571428571429, 0.285714285714, 1.000000000000
3220, 0.642857142857, 0.285714285714, 1.000000000000
3221, 0.714285714286, 0.285714285714, 1.000000000000
3222, 0.785714285714, 0.285714285714, 1.000000000000
3223, 0.857142857143, 0.285714285714, 1.000000000000
3224, 0.928571428571, 0.285714285714, 1.000000000000
3225, 1.000000000000, 0.285714285714, 1.000000000000
3226, 0.000000000000, 0.357142857143, 1.000000000000
3227, 0.071428571429, 0.357142857143, 1.000000000000
3228, 0.142857142857, 0.357142857143, 1.000000000000
3229, 0.214285714286, 0.357142857143, 1.000000000000
3230, 0.285714285714, 0.357142857143, 1.000000000000
3231, 0.357142857143, 0.357142857143, 1.000000000000
3232, 0.428571428571, 0.357142857143, 1.000000000000
3233, 0.500000000000, 0.357142857143, 1.000000000000
3234, 0.571428571429, 0.357142857143, 1.000000000000
3235, 0.642857142857, 0.357142857143, 1.000000000000
3236, 0.714285714286, 0.357142857143, 1.000000000000
3237, 0.785714285714, 0.357142857143, 1.000000000000
3238, 0.857142857143, 0.357142857143, 1.000000000000
3239, 0.928571428571, 0.357142857143, 1.000000000000
3240, 1.000000000000, 0.357142857143, 1.000000000000
3241, 0.000000000000, 0.428571428571, 1.000000000000
3242, 0.071428571429, 0.428571428571, 1.000000000000
3243, 0.142857142857, 0.428571428571, 1.000000000000
3244, 0.214285714286, 0.428571428571, 1.000000000000
3245, 0.285714285714, 0.428571428571, 1.000000000000
3246, 0.357142857143, 0.428571428571, 1.000000000000
3247, 0.428571428571, 0.428571428571, 1.000000000000
3248, 0.500000000000, 0.428571428571, 1.000000000000
3249, 0.571428571429, 0.428571428571, 1.000000000000
3250, 0.642857142857, 0.428571428571, 1.000000000000
3251, 0.714285714286, 0.428571428571, 1.000000000000
3252, 0.785714285714, 0.428571428571, 1.000000000000
3253, 0.857142857143, 0.428571428571, 1.000000000000
3254, 0.928571428571, 0.428571428571, 1.000000000000
3255, 1.000000000000, 0.428571428571, 1.000000000000
3256, 0.000000000000, 0.500000000000, 1.000000000000
3257, 0.071428571429, 0.500000000000, 1.000000000000
3258, 0.142857142857, 0.500000000000, 1.000000000000
3259, 0.214285714286, 0.500000000000, 1.000000000000
3260, 0.285714285714, 0.500000000000, 1.000000000000
3261, 0.357142857143, 0.500000000000, 1.000000000000
3262, 0.428571428571, 0.500000000000, 1.000000000000
3263, 0.500000000000, 0.500000000000, 1.000000000000
3264, 0.571428571429, 0.500000000000, 1.000000000000
3265, 0.642857142857, 0.500000000000, 1.000000000000
3266, 0.714285714286, 0.500000000000, 1.000000000000
3267, 0.785714285714, 0.500000000000, 1.000000000000
3268, 0.857142857143, 0.500000000000, 1.000000000000
3269, 0.928571428571, 0.500000000000, 1.000000000000
3270, 1.000000000000, 0.500000000000, 1.000000000000
3271, 0.000000000000, 0.571428571429, 1.000000000000
3272, 0.071428571429, 0.571428571429, 1.000000000000
3273, 0.142857142857, 0.571428571429, 1.000000000000
3274, 0.214285714286, 0.571428571429, 1.000000000000
3275, 0.285714285714, 0.571428571429, 1.000000000000
3276, 0.357142857143, 0.571428571429, 1.000000000000
3277, 0.428571428571, 0.571428571429, 1.000000000000
3278, 0.500000000000, 0.571428571429, 1.000000000000
3279, 0.571428571429, 0.571428571429, 1.000000000000
3280, 0.642857142857, 0.571428571429, 1.000000000000
3281, 0.714285714286, 0.571428571429, 1.000000000000
3282, 0.785714285714, 0.571428571429, 1.000000000000
3283, 0.857142857143, 0.571428571429, 1.000000000000
3284, 0.928571428571, 0.571428571429, 1.000000000000
3285, 1.000000000000, 0.571428571429, 1.000000000000
3286, 0.000000000000, 0.642857142857, 1.000000000000
3287, 0.071428571429, 0.642857142857, 1.000000000000
3288, 0.142857142857, 0.642857142857, 1.000000000000
3289, 0.214285714286, 0.642857142857, 1.000000000000
3290, 0.285714285714, 0.642857142857, 1.000000000000
3291, 0.357142857143, 0.642857142857, 1.000000000000
3292, 0.428571428571, 0.642857142857, 1.000000000000
3293, 0.500000000000, 0.642857142857, 1.000000000000
3294, 0.571428571429, 0.642857142857, 1.000000000000
3295, 0.642857142857, 0.642857142857, 1.000000000000
3296, 0.714285714286, 0.642857142857, 1.000000000000
3297, 0.785714285714, 0.642857142857, 1.000000000000
3298, 0.857142857143, 0.642857142857, 1.000000000000
3299, 0.928571428571, 0.642857142857, 1.000000000000
3300, 1.000000000000, 0.642857142857, 1.000000000000
3301, 0.000000000000, 0.714285714286, 1.000000000000
3302, 0.071428571429, 0.714285714286, 1.000000000000
3303, 0.142857142857, 0.714285714286, 1.000000000000
3304, 0.214285714286, 0.714285714286, 1.000000000000
3305, 0.285714285714, 0.714285714286, 1.000000000000
3306, 0.357142857143, 0.714285714286, 1.000000000000
3307, 0.428571428571, 0.714285714286, 1.000000000000
3308, 0.500000000000, 0.714285714286, 1.000000000000
3309, 0.571428571429, 0.714285714286, 1.000000000000
3310, 0.642857142857, 0.714285714286, 1.000000000000
3311, 0.714285714286, 0.714285714286, 1.000000000000
3312, 0.785714285714, 0.714285714286, 1.000000000000
3313, 0.857142857143, 0.714285714286, 1.000000000000
3314, 0.928571428571, 0.714285714286, 1.000000000000
3315, 1.000000000000, 0.714285714286, 1.000000000000
3316, 0.000000000000, 0.785714285714, 1.000000000000
3317, 0.071428571429, 0.785714285714, 1.000000000000
3318, 0.142857142857, 0.785714285714, 1.000000000000
3319, 0.214285714286, 0.785714285714, 1.000000000000
3320, 0.285714285714, 0.785714285714, 1.000000000000
3321, 0.357142857143, 0.785714285714, 1.000000000000
3322, 0.428571428571, 0.785714285714, 1.000000000000
3323, 0.500000000000, 0.785714285714, 1.000000000000
3324, 0.571428571429, 0.785714285714, 1.000000000000
3325, 0.642857142857, 0.785714285714, 1.000000000000
3326, 0.714285714286, 0.785714285714, 1.000000000000
3327, 0.785714285714, 0.785714285714, 1.000000000000
3328, 0.857142857143, 0.785714285714, 1.000000000000
3329, 0.928571428571, 0.785714285714, 1.000000000000
3330, 1.000000000000, 0.785714285714, 1.000000000000
3331, 0.000000000000, 0.857142857143, 1.000000000000
3332, 0.071428571429, 0.857142857143, 1.000000000000
3333, 0.142857142857, 0.857142857143, 1.000000000000
3334, 0.214285714286, 0.857142857143, 1.000000000000
3335, 0.285714285714, 0.857142857143, 1.000000000000
3336, 0.357142857143, 0.857142857143, 1.000000000000
3337, 0.428571428571, 0.857142857143, 1.000000000000
3338, 0.500000000000, 0.857142857143, 1.000000000000
3339, 0.571428571429, 0.857142857143, 1.000000000000
3340, 0.642857142857, 0.857142857143, 1.000000000000
3341, 0.714285714286, 0.857142857143, 1.000000000000
3342, 0.785714285714, 0.857142857143, 1.000000000000
3343, 0.857142857143, 0.857142857143, 1.000000000000
3344, 0.928571428571, 0.857142857143, 1.000000000000
3345, 1.000000000000, 0.857142857143, 1.000000000000
3346, 0.000000000000, 0.928571428571, 1.000000000000
3347, 0.071428571429, 0.928571428571, 1.000000000000
3348, 0.142857142857, 0.928571428571, 1.000000000000
3349, 0.214285714286, 0.928571428571, 1.000000000000
3350, 0.285714285714, 0.928571428571, 1.000000000000
3351, 0.357142857143, 0.928571428571, 1.000000000000
3352, 0.428571428571, 0.928571428571, 1.000000000000
3353, 0.500000000000, 0.928571428571, 1.000000000000
3354, 0.571428571429, 0.928571428571, 1.000000000000
3355, 0.642857142857, 0.928571428571, 1.000000000000
3356, 0.714285714286, 0.928571428571, 1.000000000000
3357, 0.785714285714, 0.928571428571, 1.000000000000
3358, 0.857142857143, 0.928571428571, 1.000000000000
3359, 0.928571428571, 0.928571428571, 1.000000000000
3360, 1.000000000000, 0.928571428571, 1.000000000000
3361, 0.000000000000, 1.000000000000, 1.000000000000
3362, 0.071428571429, 1.000000000000, 1.000000000000
3363, 0.142857142857, 1.000000000000, 1.000000000000
3364, 0.214285714286, 1.000000000000, 1.000000000000
3365, 0.285714285714, 1.000000000000, 1.000000000000
3366, 0.357142857143, 1.000000000000, 1.000000000000
3367, 0.428571428571, 1.000000000000, 1.000000000000
3368, 0.500000000000, 1.000000000000, 1.000000000000
3369, 0.571428571429, 1.000000000000, 1.000000000000
3370, 0.642857142857, 1.000000000000, 1.000000000000
3371, 0.714285714286, 1.000000000000, 1.000000000000
3372, 0.785714285714, 1.000000000000, 1.000000000000
3373, 0.857142857143, 1.000000000000, 1.000000000000
3374, 0.928571428571, 1.000000000000, 1.000000000000
3375, 1.000000000000, 1.000000000000, 1.000000000000
*Element, type=C3D8
1,1, 2, 17, 16, 226, 227, 242, 241
2,2, 3, 18, 17, 227, 228, 243, 242
3,3, 4, 19, 18, 228, 229, 244, 243
4,4, 5, 20, 19, 229, 230, 245, 244
5,5, 6, 21, 20, 230, 231, 246, 245
6,6, 7, 22, 21, 231, 232, 247, 246
7,7, 8, 23, 22, 232, 233, 248, 247
8,8, 9, 24, 23, 233, 234, 249, 248
9,9, 10, 25, 24, 234, 235, 250, 249
10,10, 11, 26, 25, 235, 236, 251, 250
11,11, 12, 27, 26, 236, 237, 252, 251
12,12, 13, 28, 27, 237, 238, 253, 252
13,13, 14, 29, 28, 238, 239, 254, 253
14,14, 15, 30, 29, 239, 240, 255, 254
15,16, 17, 32, 31, 241, 242, 257, 256
16,17, 18, 33, 32, 242, 243, 258, 257
17,18, 19, 34, 33, 243, 244, 259, 258
18,19, 20, 35, 34, 244, 245, 260, 259
19,20, 21, 36, 35, 245, 246, 261, 260
20,21, 22, 37, 36, 246, 247, 262, 261
21,22, 23, 38, 37, 247, 248, 263, 262
22,23, 24, 39, 38, 248, 249, 264, 263
23,24, 25, 40, 39, 249, 250, 265, 264
24,25, 26, 41, 40, 250, 251, 266, 265
25,26, 27, 42, 41, 251, 252, 267, 266
26,27, 28, 43, 42, 252, 253, 268, 267
27,28, 29, 44, 43, 253, 254, 269, 268
28,29, 30, 45, 44, 254, 255, 270, 269
29,31, 32, 47, 46, 256, 257, 272, 271
30,32, 33, 48, 47, 257, 258, 273, 272
31,33, 34, 49, 48, 258, 259, 274, 273
32,34, 35, 50, 49, 259, 260, 275, 274
33,35, 36, 51, 50, 260, 261, 276, 275
34,36, 37, 52, 51, 261, 262, 277, 276
35,37, 38, 53, 52, 262, 263, 278, 277
36,38, 39, 54, 53, 263, 264, 279, 278
37,39, 40, 55, 54, 264, 265, 280, 279
38,40, 41, 56, 55, 265, 266, 281, 280
39,41, 42, 57, 56, 266, 267, 282, 281
40,42, 43, 58, 57, 267, 268, 283, 282
41,43, 44, 59, 58, 268, 269, 284, 283
42,44, 45, 60, 59, 269, 270, 285, 284
43,46, 47, 62, 61, 271, 272, 287, 286
44,47, 48, 63, 62, 272, 273, 288, 287
45,48, 49, 64, 63, 273, 274, 289, 288
46,49, 50, 65, 64, 274, 275, 290, 289
47,50, 51, 66, 65, 275, 276, 291, 290
48,51, 52, 67, 66, 276, 277, 292, 291
49,52, 53, 68, 67, 277, 278, 293, 292
50,53, 54, 69, 68, 278, 279, 294, 293
51,54, 55, 70, 69, 279, 280, 295, 294
52,55, 56, 71, 70, 280, 281, 296, 295
53,56, 57, 72, 71, 281, 282, 297, 296
54,57, 58, 73, 72, 282, 283, 298, 297
55,58, 59, 74, 73, 283, 284, 299, 298
56,59, 60, 75, 74, 284, 285, 300, 299
57,61, 62, 77, 76, 286, 287, 302, 301
58,62, 63, 78, 77, 287, 288, 303, 302
59,63, 64, 79, 78, 288, 289, 304, 303
60,64, 65, 80, 79, 289, 290, 305, 304
61,65, 66, 81, 80, 290, 291, 306, 305
62,66, 67, 82, 81, 291, 292, 307, 306
63,67, 68, 83, 82, 292, 293, 308, 307
64,68, 69, 84, 83, 293, 294, 309, 308
65,69, 70, 85, 84, 294, 295, 310, 309
66,70, 71, 86, 85, 295, 296, 311, 310
67,71, 72, 87, 86, 296, 297, 312, 311
68,72, 73, 88, 87, 297, 298, 313, 312
69,73, 74, 89, 88, 298, 299, 314, 313
70,74, 75, 90, 89, 299, 300, 315, 314
71,76, 77, 92, 91, 301, 302, 317, 316
72,77, 78, 93, 92, 302, 303, 318, 317
73,78, 79, 94, 93, 303, 304, 319, 318
74,79, 80, 95, 94, 304, 305, 320, 319
75,80, 81, 96, 95, 305, 306, 321, 320
76,81, 82, 97, 96, 306, 307, 322, 321
77,82, 83, 98, 97, 307, 308, 323, 322
78,83, 84, 99, 98, 308, 309, 324, 323
79,84, 85, 100, 99, 309, 310, 325, 324
80,85, 86, 101, 100, 310, 311, 326, 325
81,86, 87, 102, 101, 311, 312, 327, 326
82,87, 88, 103, 102, 312, 313, 328, 327
83,88, 89, 104, 103, 313, 314, 329, 328
84,89, 90, 105, 104, 314, 315, 330, 329
85,91, 92, 107, 106, 316, 317, 332, 331
86,92, 93, 108, 107, 317, 318, 333, 332
87,93, 94, 109, 108, 318, 319, 334, 333
88,94, 95, 110, 109, 319, 320, 335, 334
89,95, 96, 111, 110, 320, 321, 336, 335
90,96, 97, 112, 111, 321, 322, 337, 336
91,97, 98, 113, 112, 322, 323, 338, 337
92,98, 99, 114, 113, 323, 324, 339, 338
93,99, 100, 115, 114, 324, 325, 340, 339
94,100, 101, 116, 115, 325, 326, 341, 340
95,101, 102, 117, 116, 326, 327, 342, 341
96,102, 103, 118, 117, 327, 328, 343, 342
97,103, 104, 119, 118, 328, 329, 344, 343
98,104, 105, 120, 119, 329, 330, 345, 344
99,106, 107, 122, 121, 331, 332, 347, 346
100,107, 108, 123, 122, 332, 333, 348, 347
101,108, 109, 124, 123, 333, 334, 349, 348
102,109, 110, 125, 124, 334, 335, 350, 349
103,110, 111, 126, 125, 335, 336, 351, 350
104,111, 112, 127, 126, 336, 337, 352, 351
105,112, 113, 128, 127, 337, 338, 353, 352
106,113, 114, 129, 128, 338, 339, 354, 353
107,114, 115, 130, 129, 339, 340, 355, 354
108,115, 116, 131, 130, 340, 341, 356, 355
109,116, 117, 132, 131, 341, 342, 357, 356
110,117, 118, 133, 132, 342, 343, 358, 357
111,118, 119, 134, 133, 343, 344, 359, 358
112,119, 120, 135, 134, 344, 345, 360, 359
113,121, 122, 137, 136, 346, 347, 362, 361
114,122, 123, 138, 137, 347, 348, 363, 362
115,123, 124, 139, 138, 348, 349, 364, 363
116,124, 125, 140, 139, 349, 350, 365, 364
117,125, 126, 141, 140, 350, 351, 366, 365
118,126, 127, 142, 141, 351, 352, 367, 366
119,127, 128, 143, 142, 352, 353, 368, 367
120,128, 129, 144, 143, 353, 354, 369, 368
121,129, 130, 145, 144, 354, 355, 370, 369
122,130, 131, 146, 145, 355, 356, 371, 370
123,131, 132, 147, 146, 356, 357, 372, 371
124,132, 133, 148, 147, 357, 358, 373, 372
125,133, 134, 149, 148, 358, 359, 374, 373
126,134, 135, 150, 149, 359, 360, 375, 374
127,136, 137, 152, 151, 361, 362, 377, 376
128,137, 138, 153, 152, 362, 363, 378, 377
129,138, 139, 154, 153, 363, 364, 379, 378
130,139, 140, 155, 154, 364, 365, 380, 379
131,140, 141, 156, 155, 365, 366, 381, 380
132,141, 142, 157, 156, 366, 367, 382, 381
133,142, 143, 158, 157, 367, 368, 383, 382
134,143, 144, 159, 158, 368, 369, 384, 383
135,144, 145, 160, 159, 369, 370, 385, 384
136,145, 146, 161, 160, 370, 371, 386, 385
137,146, 147, 162, 161, 371, 372, 387, 386
138,147, 148, 163, 162, 372, 373, 388, 387
139,148, 149, 164, 163, 373, 374, 389, 388
140,149, 150, 165, 164, 374, 375, 390, 389
141,151, 152, 167, 166, 376, 377, 392, 391
142,152, 153, 168, 167, 377, 378, 393, 392
143,153, 154, 169, 168, 378, 379, 394, 393
144,154, 155, 170, 169, 379, 380, 395, 394
145,155, 156, 171, 170, 380, 381, 396, 395
146,156, 157, 172, 171, 381, 382, 397, 396
147,157, 158, 173, 172, 382, 383, 398, 397
148,158, 159, 174, 173, 383, 384, 399, 398
149,159, 160, 175, 174, 384, 385, 400, 399
150,160, 161, 176, 175, 385, 386, 401, 400
151,161, 162, 177, 176, 386, 387, 402, 401
152,162, 163, 178, 177, 387, 388, 403, 402
153,163, 164, 179, 178, 388, 389, 404, 403
154,164, 165, 180, 179, 389, 390, 405, 404
155,166, 167, 182, 181, 391, 392, 407, 406
156,167, 168, 183, 182, 392, 393, 408, 407
157,168, 169, 184, 183, 393, 394, 409, 408
158,169, 170, 185, 184, 394, 395, 410, 409
159,170, 171, 186, 185, 395, 396, 411, 410
160,171, 172, 187, 186, 396, 397, 412, 411
161,172, 173, 188, 187, 397, 398, 413, 412
162,173, 174, 189, 188, 398, 399, 414, 413
163,174, 175, 190, 189, 399, 400, 415, 414
164,175, 176, 191, 190, 400, 401, 416, 415
165,176, 177, 192, 191, 401, 402, 417, 416
166,177, 178, 193, 192, 402, 403, 418, 417
167,178, 179, 194, 193, 403, 404, 419, 418
168,179, 180, 195, 194, 404, 405, 420, 419
169,181, 182, 197, 196, 406, 407, 422, 421
170,182, 183, 198, 197, 407, 408, 423, 422
171,183, 184, 199, 198, 408, 409, 424, 423
172,184, 185, 200, 199, 409, 410, 425, 424
173,185, 186, 201, 200, 410, 411, 426, 425
174,186, 187, 202, 201, 411, 412, 427, 426
175,187, 188, 203, 202, 412, 413, 428, 427
176,188, 189, 204, 203, 413, 414, 429, 428
177,189, 190, 205, 204, 414, 415, 430, 429
178,190, 191, 206, 205, 415, 416, 431, 430
179,191, 192, 207, 206, 416, 417, 432, 431
180,192, 193, 208, 207, 417, 418, 433, 432
181,193, 194, 209, 208, 418, 419, 434, 433
182,194, 195, 210, 209, 419, 420, 435, 434
183,196, 197, 212, 211, 421, 422, 437, 436
184,197, 198, 213, 212, 422, 423, 438, 437
185,198, 199, 214, 213, 423, 424, 439, 438
186,199, 200, 215, 214, 424, 425, 440, 439
187,200, 201, 216, 215, 425, 426, 441, 440
188,201, 202, 217, 216, 426, 427, 442, 441
189,202, 203, 218, 217, 427, 428, 443, 442
190,203, 204, 219, 218, 428, 429, 444, 443
191,204, 205, 220, 219, 429, 430, 445, 444
192,205, 206, 221, 220, 430, 431, 446, 445
193,206, 207, 222, 221, 431, 432, 447, 446
194,207, 208, 223, 222, 432, 433, 448, 447
195,208, 209, 224, 223, 433, 434, 449, 448
196,209, 210, 225, 224, 434, 435, 450, 449
197,226, 227, 242, 241, 451, 452, 467, 466
198,227, 228, 243, 242, 452, 453, 468, 467
199,228, 229, 244, 243, 453, 454, 469, 468
200,229, 230, 245, 244, 454, 455, 470, 469
201,230, 231, 246, 245, 455, 456, 471, 470
202,231, 232, 247, 246, 456, 457, 472, 471
203,232, 233, 248, 247, 457, 458, 473, 472
204,233, 234, 249, 248, 458, 459, 474, 473
205,234, 235, 250, 249, 459, 460, 475, 474
206,235, 236, 251, 250, 460, 461, 476, 475
207,236, 237, 252, 251, 461, 462, 477, 476
208,237, 238, 253, 252, 462, 463, 478, 477
209,238, 239, 254, 253, 463, 464, 479, 478
210,239, 240, 255, 254, 464, 465, 480, 479
211,241, 242, 257, 256, 466, 467, 482, 481
212,242, 243, 258, 257, 467, 468, 483, 482
213,243, 244, 259, 258, 468, 469, 484, 483
214,244, 245, 260, 259, 469, 470, 485, 484
215,245, 246, 261, 260, 470, 471, 486, 485
216,246, 247, 262, 261, 471, 472, 487, 486
217,247, 248, 263, 262, 472, 473, 488, 487
218,248, 249, 264, 263, 473, 474, 489, 488
219,249, 250, 265, 264, 474, 475, 490, 489
220,250, 251, 266, 265, 475, 476, 491, 490
221,251, 252, 267, 266, 476, 477, 492, 491
222,252, 253, 268, 267, 477, 478, 493, 492
223,253, 254, 269, 268, 478, 479, 494, 493
224,254, 255, 270, 269, 479, 480, 495, 494
225,256, 257, 272, 271, 481, 482, 497, 496
226,257, 258, 273, 272, 482, 483, 498, 497
227,258, 259, 274, 273, 483, 484, 499, 498
228,259, 260, 275, 274, 484, 485, 500, 499
229,260, 261, 276, 275, 485, 486, 501, 500
230,261, 262, 277, 276, 486, 487, 502, 501
231,262, 263, 278, 277, 487, 488, 503, 502
232,263, 264, 279, 278, 488, 489, 504, 503
233,264, 265, 280, 279, 489, 490, 505, 504
234,265, 266, 281, 280, 490, 491, 506, 505
235,266, 267, 282, 281, 491, 492, 507, 506
236,267, 268, 283, 282, 492, 493, 508, 507
237,268, 269, 284, 283, 493, 494, 509, 508
238,269, 270, 285, 284, 494, 495, 510, 509
239,271, 272, 287, 286, 496, 497, 512, 511
240,272, 273, 288, 287, 497, 498, 513, 512
241,273, 274, 289, 288, 498, 499, 514, 513
242,274, 275, 290, 289, 499, 500, 515, 514
243,275, 276, 291, 290, 500, 501, 516, 515
244,276, 277, 292, 291, 501, 502, 517, 516
245,277, 278, 293, 292, 502, 503, 518, 517
246,278, 279, 294, 293, 503, 504, 519, 518
247,279, 280, 295, 294, 504, 505, 520, 519
248,280, 281, 296, 295, 505, 506, 521, 520
249,281, 282, 297, 296, 506, 507, 522, 521
250,282, 283, 298, 297, 507, 508, 523, 522
251,283, 284, 299, 298, 508, 509, 524, 523
252,284, 285, 300, 299, 509, 510, 525, 524
253,286, 287, 302, 301, 511, 512, 527, 526
254,287, 288, 303, 302, 512, 513, 528, 527
255,288, 289, 304, 303, 513, 514, 529, 528
256,289, 290, 305, 304, 514, 515, 530, 529
257,290, 291, 306, 305, 515, 516, 531, 530
258,291, 292, 307, 306, 516, 517, 532, 531
259,292, 293, 308, 307, 517, 518, 533, 532
260,293, 294, 309, 308, 518, 519, 534, 533
261,294, 295, 310, 309, 519, 520, 535, 534
262,295, 296, 311, 310, 520, 521, 536, 535
263,296, 297, 312, 311, 521, 522, 537, 536
264,297, 298, 313, 312, 522, 523, 538, 537
265,298, 299, 314, 313, 523, 524, 539, 538
266,299, 300, 315, 314, 524, 525, 540, 539
267,301, 302, 317, 316, 526, 527, 542, 541
268,302, 303, 318, 317, 527, 528, 543, 542
269,303, 304, 319, 318, 528, 529, 544, 543
270,304, 305, 320, 319, 529, 530, 545, 544
271,305, 306, 321, 320, 530, 531, 546, 545
272,306, 307, 322, 321, 531, 532, 547, 546
273,307, 308, 323, 322, 532, 533, 548, 547
274,308, 309, 324, 323, 533, 534, 549, 548
275,309, 310, 325, 324, 534, 535, 550, 549
276,310, 311, 326, 325, 535, 536, 551, 550
277,311, 312, 327, 326, 536, 537, 552, 551
278,312, 313, 328, 327, 537, 538, 553, 552
279,313, 314, 329, 328, 538, 539, 554, 553
280,314, 315, 330, 329, 539, 540, 555, 554
281,316, 317, 332, 331, 541, 542, 557, 556
282,317, 318, 333, 332, 542, 543, 558, 557
283,318, 319, 334, 333, 543, 544, 559, 558
284,319, 320, 335, 334, 544, 545, 560, 559
285,320, 321, 336, 335, 545, 546, 561, 560
286,321, 322, 337, 336, 546, 547, 562, 561
287,322, 323, 338, 337, 547, 548, 563, 562
288,323, 324, 339, 338, 548, 549, 564, 563
289,324, 325, 340, 339, 549, 550, 565, 564
290,325, 326, 341, 340, 550, 551, 566, 565
291,326, 327, 342, 341, 551, 552, 567, 566
292,327, 328, 343, 342, 552, 553, 568, 567
293,328, 329, 344, 343, 553, 554, 569, 568
294,329, 330, 345, 344, 554, 555, 570, 569
295,331, 332, 347, 346, 556, 557, 572, 571
296,332, 333, 348, 347, 557, 558, 573, 572
297,333, 334, 349, 348, 558, 559, 574, 573
298,334, 335, 350, 349, 559, 560, 575, 574
299,335, 336, 351, 350, 560, 561, 576, 575
300,336, 337, 352, 351, 561, 562, 577, 576
301,337, 338, 353, 352, 562, 563, 578, 577
302,338, 339, 354, 353, 563, 564, 579, 578
303,339, 340, 355, 354, 564, 565, 580, 579
304,340, 341, 356, 355, 565, 566, 581, 580
305,341, 342, 357, 356, 566, 567, 582, 581
306,342, 343, 358, 357, 567, 568, 583, 582
307,343, 344, 359, 358, 568, 569, 584, 583
308,344, 345, 360, 359, 569, 570, 585, 584
309,346, 347, 362, 361, 571, 572, 587, 586
310,347, 348, 363, 362, 572, 573, 588, 587
311,348, 349, 364, 363, 573, 574, 589, 588
312,349, 350, 365, 364, 574, 575, 590, 589
313,350, 351, 366, 365, 575, 576, 591, 590
314,351, 352, 367, 366, 576, 577, 592, 591
315,352, 353, 368, 367, 577, 578, 593, 592
316,353, 354, 369, 368, 578, 579, 594, 593
317,354, 355, 370, 369, 579, 580, 595, 594
318,355, 356, 371, 370, 580, 581, 596, 595
319,356, 357, 372, 371, 581, 582, 597, 596
320,357, 358, 373, 372, 582, 583, 598, 597
321,358, 359, 374, 373, 583, 584, 599, 598
322,359, 360, 375, 374, 584, 585, 600, 599
323,361, 362, 377, 376, 586, 587, 602, 601
324,362, 363, 378, 377, 587, 588, 603, 602
325,363, 364, 379, 378, 588, 589, 604, 603
326,364, 365, 380, 379, 589, 590, 605, 604
327,365, 366, 381, 380, 590, 591, 606, 605
328,366, 367, 382, 381, 591, 592, 607, 606
329,367, 368, 383, 382, 592, 593, 608, 607
330,368, 369, 384, 383, 593, 594, 609, 608
331,369, 370, 385, 384, 594, 595, 610, 609
332,370, 371, 386, 385, 595, 596, 611, 610
333,371, 372, 387, 386, 596, 597, 612, 611
334,372, 373, 388, 387, 597, 598, 613, 612
335,373, 374, 389, 388, 598, 599, 614, 613
336,374, 375, 390, 389, 599, 600, 615, 614
337,376, 377, 392, 391, 601, 602, 617, 616
338,377, 378, 393, 392, 602, 603, 618, 617
339,378, 379, 394, 393, 603, 604, 619, 618
340,379, 380, 395, 394, 604, 605, 620, 619
341,380, 381, 396, 395, 605, 606, 621, 620
342,381, 382, 397, 396, 606, 607, 622, 621
343,382, 383, 398, 397, 607, 608, 623, 622
344,383, 384, 399, 398, 608, 609, 624, 623
345,384, 385, 400, 399, 609, 610, 625, 624
346,385, 386, 401, 400, 610, 611, 626, 625
347,386, 387, 402, 401, 611, 612, 627, 626
348,387, 388, 403, 402, 612, 613, 628, 627
349,388, 389, 404, 403, 613, 614, 629, 628
350,389, 390, 405, 404, 614, 615, 630, 629
351,391, 392, 407, 406, 616, 617, 632, 631
352,392, 393, 408, 407, 617, 618, 633, 632
353,393, 394, 409, 408, 618, 619, 634, 633
354,394, 395, 410, 409, 619, 620, 635, 634
355,395, 396, 411, 410, 620, 621, 636, 635
356,396, 397, 412, 411, 621, 622, 637, 636
357,397, 398, 413, 412, 622, 623, 638, 637
358,398, 399, 414, 413, 623, 624, 639, 638
359,399, 400, 415, 414, 624, 625, 640, 639
360,400, 401, 416, 415, 625, 626, 641, 640
361,401, 402, 417, 416, 626, 627, 642, 641
362,402, 403, 418, 417, 627, 628, 643, 642
363,403, 404, 419, 418, 628, 629, 644, 643
364,404, 405, 420, 419, 629, 630, 645, 644
365,406, 407, 422, 421, 631, 632, 647, 646
366,407, 408, 423, 422, 632, 633, 648, 647
367,408, 409, 424, 423, 633, 634, 649, 648
368,409, 410, 425, 424, 634, 635, 650, 649
369,410, 411, 426, 425, 635, 636, 651, 650
370,411, 412, 427, 426, 636, 637, 652, 651
371,412, 413, 428, 427, 637, 638, 653, 652
372,413, 414, 429, 428, 638, 639, 654, 653
373,414, 415, 430, 429, 639, 640, 655, 654
374,415, 416, 431, 430, 640, 641, 656, 655
375,416, 417, 432, 431, 641, 642, 657, 656
376,417, 418, 433, 432, 642, 643, 658, 657
377,418, 419, 434, 433, 643, 644, 659, 658
378,419, 420, 435, 434, 644, 645, 660, 659
379,421, 422, 437, 436, 646, 647, 662, 661
380,422, 423, 438, 437, 647, 648, 663, 662
381,423, 424, 439, 438, 648, 649, 664, 663
382,424, 425, 440, 439, 649, 650, 665, 664
383,425, 426, 441, 440, 650, 651, 666, 665
384,426, 427, 442, 441, 651, 652, 667, 666
385,427, 428, 443, 442, 652, 653, 668, 667
386,428, 429, 444, 443, 653, 654, 669, 668
387,429, 430, 445, 444, 654, 655, 670, 669
388,430, 431, 446, 445, 655, 656, 671, 670
389,431, 432, 447, 446, 656, 657, 672, 671
390,432, 433, 448, 447, 657, 658, 673, 672
391,433, 434, 449, 448, 658, 659, 674, 673
392,434, 435, 450, 449, 659, 660, 675, 674
393,451, 452, 467, 466, 676, 677, 692, 691
394,452, 453, 468, 467, 677, 678, 693, 692
395,453, 454, 469, 468, 678, 679, 694, 693
396,454, 455, 470, 469, 679, 680, 695, 694
397,455, 456, 471, 470, 680, 681, 696, 695
398,456, 457, 472, 471, 681, 682, 697, 696
399,457, 458, 473, 472, 682, 683, 698, 697
400,458, 459, 474, 473, 683, 684, 699, 698
401,459, 460, 475, 474, 684, 685, 700, 699
402,460, 461, 476, 475, 685, 686, 701, 700
403,461, 462, 477, 476, 686, 687, 702, 701
404,462, 463, 478, 477, 687, 688, 703, 702
405,463, 464, 479, 478, 688, 689, 704, 703
406,464, 465, 480, 479, 689, 690, 705, 704
407,466, 467, 482, 481, 691, 692, 707, 706
408,467, 468, 483, 482, 692, 693, 708, 707
409,468, 469, 484, 483, 693, 694, 709, 708
410,469, 470, 485, 484, 694, 695, 710, 709
411,470, 471, 486, 485, 695, 696, 711, 710
412,471, 472, 487, 486, 696, 697, 712, 711
413,472, 473, 488, 487, 697, 698, 713, 712
414,473, 474, 489, 488, 698, 699, 714, 713
415,474, 475, 490, 489, 699, 700, 715, 714
416,475, 476, 491, 490, 700, 701, 716, 715
417,476, 477, 492, 491, 701, 702, 717, 716
418,477, 478, 493, 492, 702, 703, 718, 717
419,478, 479, 494, 493, 703, 704, 719, 718
420,479, 480, 495, 494, 704, 705, 720, 719
421,481, 482, 497, 496, 706, 707, 722, 721
422,482, 483, 498, 497, 707, 708, 723, 722
423,483, 484, 499, 498, 708, 709, 724, 723
424,484, 485, 500, 499, 709, 710, 725, 724
425,485, 486, 501, 500, 710, 711, 726, 725
426,486, 487, 502, 501, 711, 712, 727, 726
427,487, 488, 503, 502, 712, 713, 728, 727
428,488, 489, 504, 503, 713, 714, 729, 728
429,489, 490, 505, 504, 714, 715, 730, 729
430,490, 491, 506, 505, 715, 716, 731, 730
431,491, 492, 507, 506, 716, 717, 732, 731
432,492, 493, 508, 507, 717, 718, 733, 732
433,493, 494, 509, 508, 718, 719, 734, 733
434,494, 495, 510, 509, 719, 720, 735, 734
435,496, 497, 512, 511, 721, 722, 737, 736
436,497, 498, 513, 512, 722, 723, 738, 737
437,498, 499, 514, 513, 723, 724, 739, 738
438,499, 500, 515, 514, 724, 725, 740, 739
439,500, 501, 516, 515, 725, 726, 741, 740
440,501, 502, 517, 516, 726, 727, 742, 741
441,502, 503, 518, 517, 727, 728, 743, 742
442,503, 504, 519, 518, 728, 729, 744, 743
443,504, 505, 520, 519, 729, 730, 745, 744
444,505, 506, 521, 520, 730, 731, 746, 745
445,506, 507, 522, 521, 731, 732, 747, 746
446,507, 508, 523, 522, 732, 733, 748, 747
447,508, 509, 524, 523, 733, 734, 749, 748
448,509, 510, 525, 524, 734, 735, 750, 749
449,511, 512, 527, 526, 736, 737, 752, 751
450,512, 513, 528, 527, 737, 738, 753, 752
451,513, 514, 529, 528, 738, 739, 754, 753
452,514, 515, 530, 529, 739, 740, 755, 754
453,515, 516, 531, 530, 740, 741, 756, 755
454,516, 517, 532, 531, 741, 742, 757, 756
455,517, 518, 533, 532, 742, 743, 758, 757
456,518, 519, 534, 533, 743, 744, 759, 758
457,519, 520, 535, 534, 744, 745, 760, 759
458,520, 521, 536, 535, 745, 746, 761, 760
459,521, 522, 537, 536, 746, 747, 762, 761
460,522, 523, 538, 537, 747, 748, 763, 762
461,523, 524, 539, 538, 748, 749, 764, 763
462,524, 525, 540, 539, 749, 750, 765, 764
463,526, 527, 542, 541, 751, 752, 767, 766
464,527, 528, 543, 542, 752, 753, 768, 767
465,528, 529, 544, 543, 753, 754, 769, 768
466,529, 530, 545, 544, 754, 755, 770, 769
467,530, 531, 546, 545, 755, 756, 771, 770
468,531, 532, 547, 546, 756, 757, 772, 771
469,532, 533, 548, 547, 757, 758, 773, 772
470,533, 534, 549, 548, 758, 759, 774, 773
471,534, 535, 550, 549, 759, 760, 775, 774
472,535, 536, 551, 550, 760, 761, 776, 775
473,536, 537, 552, 551, 761, 762, 777, 776
474,537, 538, 553, 552, 762, 763, 778, 777
475,538, 539, 554, 553, 763, 764, 779, 778
476,539, 540, 555, 554, 764, 765, 780, 779
477,541, 542, 557, 556, 766, 767, 782, 781
478,542, 543, 558, 557, 767, 768, 783, 782
479,543, 544, 559, 558, 768, 769, 784, 783
480,544, 545, 560, 559, 769, 770, 785, 784
481,545, 546, 561, 560, 770, 771, 786, 785
482,546, 547, 562, 561, 771, 772, 787, 786
483,547, 548, 563, 562, 772, 773, 788, 787
484,548, 549, 564, 563, 773, 774, 789, 788
485,549, 550, 565, 564, 774, 775, 790, 789
486,550, 551, 566, 565, 775, 776, 791, 790
487,551, 552, 567, 566, 776, 777, 792, 791
488,552, 553, 568, 567, 777, 778, 793, 792
489,553, 554, 569, 568, 778, 779, 794, 793
490,554, 555, 570, 569, 779, 780, 795, 794
491,556, 557, 572, 571, 781, 782, 797, 796
492,557, 558, 573, 572, 782, 783, 798, 797
493,558, 559, 574, 573, 783, 784, 799, 798
494,559, 560, 575, 574, 784, 785, 800, 799
495,560, 561, 576, 575, 785, 786, 801, 800
496,561, 562, 577, 576, 786, 787, 802, 801
497,562, 563, 578, 577, 787, 788, 803, 802
498,563, 564, 579, 578, 788, 789, 804, 803
499,564, 565, 580, 579, 789, 790, 805, 804
500,565, 566, 581, 580, 790, 791, 806, 805
501,566, 567, 582, 581, 791, 792, 807, 806
502,567, 568, 583, 582, 792, 793, 808, 807
503,568, 569, 584, 583, 793, 794, 809, 808
504,569, 570, 585, 584, 794, 795, 810, 809
505,571, 572, 587, 586, 796, 797, 812, 811
506,572, 573, 588, 587, 797, 798, 813, 812
507,573, 574, 589, 588, 798, 799, 814, 813
508,574, 575, 590, 589, 799, 800, 815, 814
509,575, 576, 591, 590, 800, 801, 816, 815
510,576, 577, 592, 591, 801, 802, 817, 816
511,577, 578, 593, 592, 802, 803, 818, 817
512,578, 579, 594, 593, 803, 804, 819, 818
513,579, 580, 595, 594, 804, 805, 820, 819
514,580, 581, 596, 595, 805, 806, 821, 820
515,581, 582, 597, 596, 806, 807, 822, 821
516,582, 583, 598, 597, 807, 808, 823, 822
517,583, 584, 599, 598, 808, 809, 824, 823
518,584, 585, 600, 599, 809, 810, 825, 824
519,586, 587, 602, 601, 811, 812, 827, 826
520,587, 588, 603, 602, 812, 813, 828, 827
521,588, 589, 604, 603, 813, 814, 829, 828
522,589, 590, 605, 604, 814, 815, 830, 829
523,590, 591, 606, 605, 815, 816, 831, 830
524,591, 592, 607, 606, 816, 817, 832, 831
525,592, 593, 608, 607, 817, 818, 833, 832
526,593, 594, 609, 608, 818, 819, 834, 833
527,594, 595, 610, 609, 819, 820, 835, 834
528,595, 596, 611, 610, 820, 821, 836, 835
529,596, 597, 612, 611, 821, 822, 837, 836
530,597, 598, 613, 612, 822, 823, 838, 837
531,598, 599, 614, 613, 823, 824, 839, 838
532,599, 600, 615, 614, 824, 825, 840, 839
533,601, 602, 617, 616, 826, 827, 842, 841
534,602, 603, 618, 617, 827, 828, 843, 842
535,603, 604, 619, 618, 828, 829, 844, 843
536,604, 605, 620, 619, 829, 830, 845, 844
537,605, 606, 621, 620, 830, 831, 846, 845
538,606, 607, 622, 621, 831, 832, 847, 846
539,607, 608, 623, 622, 832, 833, 848, 847
540,608, 609, 624, 623, 833, 834, 849, 848
541,609, 610, 625, 624, 834, 835, 850, 849
542,610, 611, 626, 625, 835, 836, 851, 850
543,611, 612, 627, 626, 836, 837, 852, 851
544,612, 613, 628, 627, 837, 838, 853, 852
545,613, 614, 629, 628, 838, 839, 854, 853
546,614, 615, 630, 629, 839, 840, 855, 854
547,616, 617, 632, 631, 841, 842, 857, 856
548,617, 618, 633, 632, 842, 843, 858, 857
549,618, 619, 634, 633, 843, 844, 859, 858
550,619, 620, 635, 634, 844, 845, 860, 859
551,620, 621, 636, 635, 845, 846, 861, 860
552,621, 622, 637, 636, 846, 847, 862, 861
553,622, 623, 638, 637, 847, 848, 863, 862
554,623, 624, 639, 638, 848, 849, 864, 863
555,624, 625, 640, 639, 849, 850, 865, 864
556,625, 626, 641, 640, 850, 851, 866, 865
557,626, 627, 642, 641, 851, 852, 867, 866
558,627, 628, 643, 642, 852, 853, 868, 867
559,628, 629, 644, 643, 853, 854, 869, 868
560,629, 630, 645, 644, 854, 855, 870, 869
561,631, 632, 647, 646, 856, 857, 872, 871
562,632, 633, 648, 647, 857, 858, 873, 872
563,633, 634, 649, 648, 858, 859, 874, 873
564,634, 635, 650, 649, 859, 860, 875, 874
565,635, 636, 651, 650, 860, 861, 876, 875
566,636, 637, 652, 651, 861, 862, 877, 876
567,637, 638, 653, 652, 862, 863, 878, 877
568,638, 639, 654, 653, 863, 864, 879, 878
569,639, 640, 655, 654, 864, 865, 880, 879
570,640, 641, 656, 655, 865, 866, 881, 880
571,641, 642, 657, 656, 866, 867, 882, 881
572,642, 643, 658, 657, 867, 868, 883, 882
573,643, 644, 659, 658, 868, 869, 884, 883
574,644, 645, 660, 659, 869, 870, 885, 884
575,646, 647, 662, 661, 871, 872, 887, 886
576,647, 648, 663, 662, 872, 873, 888, 887
577,648, 649, 664, 663, 873, 874, 889, 888
578,649, 650, 665, 664, 874, 875, 890, 889
579,650, 651, 666, 665, 875, 876, 891, 890
580,651, 652, 667, 666, 876, 877, 892, 891
581,652, 653, 668, 667, 877, 878, 893, 892
582,653, 654, 669, 668, 878, 879, 894, 893
583,654, 655, 670, 669, 879, 880, 895, 894
584,655, 656, 671, 670, 880, 881, 896, 895
585,656, 657, 672, 671, 881, 882, 897, 896
586,657, 658, 673, 672, 882, 883, 898, 897
587,658, 659, 674, 673, 883, 884, 899, 898
588,659, 660, 675, 674, 884, 885, 900, 899
589,676, 677, 692, 691, 901, 902, 917, 916
590,677, 678, 693, 692, 902, 903, 918, 917
591,678, 679, 694, 693, 903, 904, 919, 918
592,679, 680, 695, 694, 904, 905, 920, 919
593,680, 681, 696, 695, 905, 906, 921, 920
594,681, 682, 697, 696, 906, 907, 922, 921
595,682, 683, 698, 697, 907, 908, 923, 922
596,683, 684, 699, 698, 908, 909, 924, 923
597,684, 685, 700, 699, 909, 910, 925, 924
598,685, 686, 701, 700, 910, 911, 926, 925
599,686, 687, 702, 701, 911, 912, 927, 926
600,687, 688, 703, 702, 912, 913, 928, 927
601,688, 689, 704, 703, 913, 914, 929, 928
602,689, 690, 705, 704, 914, 915, 930, 929
603,691, 692, 707, 706, 916, 917, 932, 931
604,692, 693, 708, 707, 917, 918, 933, 932
605,693, 694, 709, 708, 918, 919, 934, 933
606,694, 695, 710, 709, 919, 920, 935, 934
607,695, 696, 711, 710, 920, 921, 936, 935
608,696, 697, 712, 711, 921, 922, 937, 936
609,697, 698, 713, 712, 922, 923, 938, 937
610,698, 699, 714, 713, 923, 924, 939, 938
611,699, 700, 715, 714, 924, 925, 940, 939
612,700, 701, 716, 715, 925, 926, 941, 940
613,701, 702, 717, 716, 926, 927, 942, 941
614,702, 703, 718, 717, 927, 928, 943, 942
615,703, 704, 719, 718, 928, 929, 944, 943
616,704, 705, 720, 719, 929, 930, 945, 944
617,706, 707, 722, 721, 931, 932, 947, 946
618,707, 708, 723, 722, 932, 933, 948, 947
619,708, 709, 724, 723, 933, 934, 949, 948
620,709, 710, 725, 724, 934, 935, 950, 949
621,710, 711, 726, 725, 935, 936, 951, 950
622,711, 712, 727, 726, 936, 937, 952, 951
623,712, 713, 728, 727, 937, 938, 953, 952
624,713, 714, 729, 728, 938, 939, 954, 953
625,714, 715, 730, 729, 939, 940, 955, 954
626,715, 716, 731, 730, 940, 941, 956, 955
627,716, 717, 732, 731, 941, 942, 957, 956
628,717, 718, 733, 732, 942, 943, 958, 957
629,718, 719, 734, 733, 943, 944, 959, 958
630,719, 720, 735, 734, 944, 945, 960, 959
631,721, 722, 737, 736, 946, 947, 962, 961
632,722, 723, 738, 737, 947, 948, 963, 962
633,723, 724, 739, 738, 948, 949, 964, 963
634,724, 725, 740, 739, 949, 950, 965, 964
635,725, 726, 741, 740, 950, 951, 966, 965
636,726, 727, 742, 741, 951, 952, 967, 966
637,727, 728, 743, 742, 952, 953, 968, 967
638,728, 729, 744, 743, 953, 954, 969, 968
639,729, 730, 745, 744, 954, 955, 970, 969
640,730, 731, 746, 745, 955, 956, 971, 970
641,731, 732, 747, 746, 956, 957, 972, 971
642,732, 733, 748, 747, 957, 958, 973, 972
643,733, 734, 749, 748, 958, 959, 974, 973
644,734, 735, 750, 749, 959, 960, 975, 974
645,736, 737, 752, 751, 961, 962, 977, 976
646,737, 738, 753, 752, 962, 963, 978, 977
647,738, 739, 754, 753, 963, 964, 979, 978
648,739, 740, 755, 754, 964, 965, 980, 979
649,740, 741, 756, 755, 965, 966, 981, 980
650,741, 742, 757, 756, 966, 967, 982, 981
651,742, 743, 758, 757, 967, 968, 983, 982
652,743, 744, 759, 758, 968, 969, 984, 983
653,744, 745, 760, 759, 969, 970, 985, 984
654,745, 746, 761, 760, 970, 971, 986, 985
655,746, 747, 762, 761, 971, 972, 987, 986
656,747, 748, 763, 762, 972, 973, 988, 987
657,748, 749, 764, 763, 973, 974, 989, 988
658,749, 750, 765, 764, 974, 975, 990, 989
659,751, 752, 767, 766, 976, 977, 992, 991
660,752, 753, 768, 767, 977, 978, 993, 992
661,753, 754, 769, 768, 978, 979, 994, 993
662,754, 755, 770, 769, 979, 980, 995, 994
663,755, 756, 771, 770, 980, 981, 996, 995
664,756, 757, 772, 771, 981, 982, 997, 996
665,757, 758, 773, 772, 982, 983, 998, 997
666,758, 759, 774, 773, 983, 984, 999, 998
667,759, 760, 775, 774, 984, 985, 1000, 999
668,760, 761, 776, 775, 985, 986, 1001, 1000
669,761, 762, 777, 776, 986, 987, 1002, 1001
670,762, 763, 778, 777, 987, 988, 1003, 1002
671,763, 764, 779, 778, 988, 989, 1004, 1003
672,764, 765, 780, 779, 989, 990, 1005, 1004
673,766, 767, 782, 781, 991, 992, 1007, 1006
674,767, 768, 783, 782, 992, 993, 1008, 1007
675,768, 769, 784, 783, 993, 994, 1009, 1008
676,769, 770, 785, 784, 994, 995, 1010, 1009
677,770, 771, 786, 785, 995, 996, 1011, 1010
678,771, 772, 787, 786, 996, 997, 1012, 1011
679,772, 773, 788, 787, 997, 998, 1013, 1012
680,773, 774, 789, 788, 998, 999, 1014, 1013
681,774, 775, 790, 789, 999, 1000, 1015, 1014
682,775, 776, 791, 790, 1000, 1001, 1016, 1015
683,776, 777, 792, 791, 1001, 1002, 1017, 1016
684,777, 778, 793, 792, 1002, 1003, 1018, 1017
685,778, 779, 794, 793, 1003, 1004, 1019, 1018
686,779, 780, 795, 794, 1004, 1005, 1020, 1019
687,781, 782, 797, 796, 1006, 1007, 1022, 1021
688,782, 783, 798, 797, 1007, 1008, 1023, 1022
689,783, 784, 799, 798, 1008, 1009, 1024, 1023
690,784, 785, 800, 799, 1009, 1010, 1025, 1024
691,785, 786, 801, 800, 1010, 1011, 1026, 1025
692,786, 787, 802, 801, 1011, 1012, 1027, 1026
693,787, 788, 803, 802, 1012, 1013, 1028, 1027
694,788, 789, 804, 803, 1013, 1014, 1029, 1028
695,789, 790, 805, 804, 1014, 1015, 1030, 1029
696,790, 791, 806, 805, 1015, 1016, 1031, 1030
697,791, 792, 807, 806, 1016, 1017, 1032, 1031
698,792, 793, 808, 807, 1017, 1018, 1033, 1032
699,793, 794, 809, 808, 1018, 1019, 1034, 1033
700,794, 795, 810, 809, 1019, 1020, 1035, 1034
701,796, 797, 812, 811, 1021, 1022, 1037, 1036
702,797, 798, 813, 812, 1022, 1023, 1038, 1037
703,798, 799, 814, 813, 1023, 1024, 1039, 1038
704,799, 800, 815, 814, 1024, 1025, 1040, 1039
705,800, 801, 816, 815, 1025, 1026, 1041, 1040
706,801, 802, 817, 816, 1026, 1027, 1042, 1041
707,802, 803, 818, 817, 1027, 1028, 1043, 1042
708,803, 804, 819, 818, 1028, 1029, 1044, 1043
709,804, 805, 820, 819, 1029, 1030, 1045, 1044
710,805, 806, 821, 820, 1030, 1031, 1046, 1045
711,806, 807, 822, 821, 1031, 1032, 1047, 1046
712,807, 808, 823, 822, 1032, 1033, 1048, 1047
713,808, 809, 824, 823, 1033, 1034, 1049, 1048
714,809, 810, 825, 824, 1034, 1035, 1050, 1049
715,811, 812, 827, 826, 1036, 1037, 1052, 1051
716,812, 813, 828, 827, 1037, 1038, 1053, 1052
717,813, 814, 829, 828, 1038, 1039, 1054, 1053
718,814, 815, 830, 829, 1039, 1040, 1055, 1054
719,815, 816, 831, 830, 1040, 1041, 1056, 1055
720,816, 817, 832, 831, 1041, 1042, 1057, 1056
721,817, 818, 833, 832, 1042, 1043, 1058, 1057
722,818, 819, 834, 833, 1043, 1044, 1059, 1058
723,819, 820, 835, 834, 1044, 1045, 1060, 1059
724,820, 821, 836, 835, 1045, 1046, 1061, 1060
725,821, 822, 837, 836, 1046, 1047, 1062, 1061
726,822, 823, 838, 837, 1047, 1048, 1063, 1062
727,823, 824, 839, 838, 1048, 1049, 1064, 1063
728,824, 825, 840, 839, 1049, 1050, 1065, 1064
729,826, 827, 842, 841, 1051, 1052, 1067, 1066
730,827, 828, 843, 842, 1052, 1053, 1068, 1067
731,828, 829, 844, 843, 1053, 1054, 1069, 1068
732,829, 830, 845, 844, 1054, 1055, 1070, 1069
733,830, 831, 846, 845, 1055, 1056, 1071, 1070
734,831, 832, 847, 846, 1056, 1057, 1072, 1071
735,832, 833, 848, 847, 1057, 1058, 1073, 1072
736,833, 834, 849, 848, 1058, 1059, 1074, 1073
737,834, 835, 850, 849, 1059, 1060, 1075, 1074
738,835, 836, 851, 850, 1060, 1061, 1076, 1075
739,836, 837, 852, 851, 1061, 1062, 1077, 1076
740,837, 838, 853, 852, 1062, 1063, 1078, 1077
741,838, 839, 854, 853, 1063, 1064, 1079, 1078
742,839, 840, 855, 854, 1064, 1065, 1080, 1079
743,841, 842, 857, 856, 1066, 1067, 1082, 1081
744,842, 843, 858, 857, 1067, 1068, 1083, 1082
745,843, 844, 859, 858, 1068, 1069, 1084, 1083
746,844, 845, 860, 859, 1069, 1070, 1085, 1084
747,845, 846, 861, 860, 1070, 1071, 1086, 1085
748,846, 847, 862, 861, 1071, 1072, 1087, 1086
749,847, 848, 863, 862, 1072, 1073, 1088, 1087
750,848, 849, 864, 863, 1073, 1074, 1089, 1088
751,849, 850, 865, 864, 1074, 1075, 1090, 1089
752,850, 851, 866, 865, 1075, 1076, 1091, 1090
753,851, 852, 867, 866, 1076, 1077, 1092, 1091
754,852, 853, 868, 867, 1077, 1078, 1093, 1092
755,853, 854, 869, 868, 1078, 1079, 1094, 1093
756,854, 855, 870, 869, 1079, 1080, 1095, 1094
757,856, 857, 872, 871, 1081, 1082, 1097, 1096
758,857, 858, 873, 872, 1082, 1083, 1098, 1097
759,858, 859, 874, 873, 1083, 1084, 1099, 1098
760,859, 860, 875, 874, 1084, 1085, 1100, 1099
761,860, 861, 876, 875, 1085, 1086, 1101, 1100
762,861, 862, 877, 876, 1086, 1087, 1102, 1101
763,862, 863, 878, 877, 1087, 1088, 1103, 1102
764,863, 864, 879, 878, 1088, 1089, 1104, 1103
765,864, 865, 880, 879, 1089, 1090, 1105, 1104
766,865, 866, 881, 880, 1090, 1091, 1106, 1105
767,866, 867, 882, 881, 1091, 1092, 1107, 1106
768,867, 868, 883, 882, 1092, 1093, 1108, 1107
769,868, 869, 884, 883, 1093, 1094, 1109, 1108
770,869, 870, 885, 884, 1094, 1095, 1110, 1109
771,871, 872, 887, 886, 1096, 1097, 1112, 1111
772,872, 873, 888, 887, 1097, 1098, 1113, 1112
773,873, 874, 889, 888, 1098, 1099, 1114, 1113
774,874, 875, 890, 889, 1099, 1100, 1115, 1114
775,875, 876, 891, 890, 1100, 1101, 1116, 1115
776,876, 877, 892, 891, 1101, 1102, 1117, 1116
777,877, 878, 893, 892, 1102, 1103, 1118, 1117
778,878, 879, 894, 893, 1103, 1104, 1119, 1118
779,879, 880, 895, 894, 1104, 1105, 1120, 1119
780,880, 881, 896, 895, 1105, 1106, 1121, 1120
781,881, 882, 897, 896, 1106, 1107, 1122, 1121
782,882, 883, 898, 897, 1107, 1108, 1123, 1122
783,883, 884, 899, 898, 1108, 1109, 1124, 1123
784,884, 885, 900, 899, 1109, 1110, 1125, 1124
785,901, 902, 917, 916, 1126, 1127, 1142, 1141
786,902, 903, 918, 917, 1127, 1128, 1143, 1142
787,903, 904, 919, 918, 1128, 1129, 1144, 1143
788,904, 905, 920, 919, 1129, 1130, 1145, 1144
789,905, 906, 921, 920, 1130, 1131, 1146, 1145
790,906, 907, 922, 921, 1131, 1132, 1147, 1146
791,907, 908, 923, 922, 1132, 1133, 1148, 1147
792,908, 909, 924, 923, 1133, 1134, 1149, 1148
793,909, 910, 925, 924, 1134, 1135, 1150, 1149
794,910, 911, 926, 925, 1135, 1136, 1151, 1150
795,911, 912, 927, 926, 1136, 1137, 1152, 1151
796,912, 913, 928, 927, 1137, 1138, 1153, 1152
797,913, 914, 929, 928, 1138, 1139, 1154, 1153
798,914, 915, 930, 929, 1139, 1140, 1155, 1154
799,916, 917, 932, 931, 1141, 1142, 1157, 1156
800,917, 918, 933, 932, 1142, 1143, 1158, 1157
801,918, 919, 934, 933, 1143, 1144, 1159, 1158
802,919, 920, 935, 934, 1144, 1145, 1160, 1159
803,920, 921, 936, 935, 1145, 1146, 1161, 1160
804,921, 922, 937, 936, 1146, 1147, 1162, 1161
805,922, 923, 938, 937, 1147, 1148, 1163, 1162
806,923, 924, 939, 938, 1148, 1149, 1164, 1163
807,924, 925, 940, 939, 1149, 1150, 1165, 1164
808,925, 926, 941, 940, 1150, 1151, 1166, 1165
809,926, 927, 942, 941, 1151, 1152, 1167, 1166
810,927, 928, 943, 942, 1152, 1153, 1168, 1167
811,928, 929, 944, 943, 1153, 1154, 1169, 1168
812,929, 930, 945, 944, 1154, 1155, 1170, 1169
813,931, 932, 947, 946, 1156, 1157, 1172, 1171
814,932, 933, 948, 947, 1157, 1158, 1173, 1172
815,933, 934, 949, 948, 1158, 1159, 1174, 1173
816,934, 935, 950, 949, 1159, 1160, 1175, 1174
817,935, 936, 951, 950, 1160, 1161, 1176, 1175
818,936, 937, 952, 951, 1161, 1162, 1177, 1176
819,937, 938, 953, 952, 1162, 1163, 1178, 1177
820,938, 939, 954, 953, 1163, 1164, 1179, 1178
821,939, 940, 955, 954, 1164, 1165, 1180, 1179
822,940, 941, 956, 955, 1165, 1166, 1181, 1180
823,941, 942, 957, 956, 1166, 1167, 1182, 1181
824,942, 943, 958, 957, 1167, 1168, 1183, 1182
825,943, 944, 959, 958, 1168, 1169, 1184, 1183
826,944, 945, 960, 959, 1169, 1170, 1185, 1184
827,946, 947, 962, 961, 1171, 1172, 1187, 1186
828,947, 948, 963, 962, 1172, 1173, 1188, 1187
829,948, 949, 964, 963, 1173, 1174, 1189, 1188
830,949, 950, 965, 964, 1174, 1175, 1190, 1189
831,950, 951, 966, 965, 1175, 1176, 1191, 1190
832,951, 952, 967, 966, 1176, 1177, 1192, 1191
833,952, 953, 968, 967, 1177, 1178, 1193, 1192
834,953, 954, 969, 968, 1178, 1179, 1194, 1193
835,954, 955, 970, 969, 1179, 1180, 1195, 1194
836,955, 956, 971, 970, 1180, 1181, 1196, 1195
837,956, 957, 972, 971, 1181, 1182, 1197, 1196
838,957, 958, 973, 972, 1182, 1183, 1198, 1197
839,958, 959, 974, 973, 1183, 1184, 1199, 1198
840,959, 960, 975, 974, 1184, 1185, 1200, 1199
841,961, 962, 977, 976, 1186, 1187, 1202, 1201
842,962, 963, 978, 977, 1187, 1188, 1203, 1202
843,963, 964, 979, 978, 1188, 1189, 1204, 1203
844,964, 965, 980, 979, 1189, 1190, 1205, 1204
845,965, 966, 981, 980, 1190, 1191, 1206, 1205
846,966, 967, 982, 981, 1191, 1192, 1207, 1206
847,967, 968, 983, 982, 1192, 1193, 1208, 1207
848,968, 969, 984, 983, 1193, 1194, 1209, 1208
849,969, 970, 985, 984, 1194, 1195, 1210, 1209
850,970, 971, 986, 985, 1195, 1196, 1211, 1210
851,971, 972, 987, 986, 1196, 1197, 1212, 1211
852,972, 973, 988, 987, 1197, 1198, 1213, 1212
853,973, 974, 989, 988, 1198, 1199, 1214, 1213
854,974, 975, 990, 989, 1199, 1200, 1215, 1214
855,976, 977, 992, 991, 1201, 1202, 1217, 1216
856,977, 978, 993, 992, 1202, 1203, 1218, 1217
857,978, 979, 994, 993, 1203, 1204, 1219, 1218
858,979, 980, 995, 994, 1204, 1205, 1220, 1219
859,980, 981, 996, 995, 1205, 1206, 1221, 1220
860,981, 982, 997, 996, 1206, 1207, 1222, 1221
861,982, 983, 998, 997, 1207, 1208, 1223, 1222
862,983, 984, 999, 998, 1208, 1209, 1224, 1223
863,984, 985, 1000, 999, 1209, 1210, 1225, 1224
864,985, 986, 1001, 1000, 1210, 1211, 1226, 1225
865,986, 987, 1002, 1001, 1211, 1212, 1227, 1226
866,987, 988, 1003, 1002, 1212, 1213, 1228, 1227
867,988, 989, 1004, 1003, 1213, 1214, 1229, 1228
868,989, 990, 1005, 1004, 1214, 1215, 1230, 1229
869,991, 992, 1007, 1006, 1216, 1217, 1232, 1231
870,992, 993, 1008, 1007, 1217, 1218, 1233, 1232
871,993, 994, 1009, 1008, 1218, 1219, 1234, 1233
872,994, 995, 1010, 1009, 1219, 1220, 1235, 1234
873,995, 996, 1011, 1010, 1220, 1221, 1236, 1235
874,996, 997, 1012, 1011, 1221, 1222, 1237, 1236
875,997, 998, 1013, 1012, 1222, 1223, 1238, 1237
876,998, 999, 1014, 1013, 1223, 1224, 1239, 1238
877,999, 1000, 1015, 1014, 1224, 1225, 1240, 1239
878,1000, 1001, 1016, 1015, 1225, 1226, 1241, 1240
879,1001, 1002, 1017, 1016, 1226, 1227, 1242, 1241
880,1002, 1003, 1018, 1017, 1227, 1228, 1243, 1242
881,1003, 1004, 1019, 1018, 1228, 1229, 1244, 1243
882,1004, 1005, 1020, 1019, 1229, 1230, 1245, 1244
883,1006, 1007, 1022, 1021, 1231, 1232, 1247, 1246
884,1007, 1008, 1023, 1022, 1232, 1233, 1248, 1247
885,1008, 1009, 1024, 1023, 1233, 1234, 1249, 1248
886,1009, 1010, 1025, 1024, 1234, 1235, 1250, 1249
887,1010, 1011, 1026, 1025, 1235, 1236, 1251, 1250
888,1011, 1012, 1027, 1026, 1236, 1237, 1252, 1251
889,1012, 1013, 1028, 1027, 1237, 1238, 1253, 1252
890,1013, 1014, 1029, 1028, 1238, 1239, 1254, 1253
891,1014, 1015, 1030, 1029, 1239, 1240, 1255, 1254
892,1015, 1016, 1031, 1030, 1240, 1241, 1256, 1255
893,1016, 1017, 1032, 1031, 1241, 1242, 1257, 1256
894,1017, 1018, 1033, 1032, 1242, 1243, 1258, 1257
895,1018, 1019, 1034, 1033, 1243, 1244, 1259, 1258
896,1019, 1020, 1035, 1034, 1244, 1245, 1260, 1259
897,1021, 1022, 1037, 1036, 1246, 1247, 1262, 1261
898,1022, 1023, 1038, 1037, 1247, 1248, 1263, 1262
899,1023, 1024, 1039, 1038, 1248, 1249, 1264, 1263
900,1024, 1025, 1040, 1039, 1249, 1250, 1265, 1264
901,1025, 1026, 1041, 1040, 1250, 1251, 1266, 1265
902,1026, 1027, 1042, 1041, 1251, 1252, 1267, 1266
903,1027, 1028, 1043, 1042, 1252, 1253, 1268, 1267
904,1028, 1029, 1044, 1043, 1253, 1254, 1269, 1268
905,1029, 1030, 1045, 1044, 1254, 1255, 1270, 1269
906,1030, 1031, 1046, 1045, 1255, 1256, 1271, 1270
907,1031, 1032, 1047, 1046, 1256, 1257, 1272, 1271
908,1032, 1033, 1048, 1047, 1257, 1258, 1273, 1272
909,1033, 1034, 1049, 1048, 1258, 1259, 1274, 1273
910,1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274
911,1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276
912,1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277
913,1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278
914,1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279
915,1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280
916,1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281
917,1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282
918,1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283
919,1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284
920,1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285
921,1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286
922,1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287
923,1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288
924,1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289
925,1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291
926,1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292
927,1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293
928,1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294
929,1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295
930,1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296
931,1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297
932,1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298
933,1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299
934,1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300
935,1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301
936,1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302
937,1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303
938,1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304
939,1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306
940,1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307
941,1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308
942,1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309
943,1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310
944,1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311
945,1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312
946,1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313
947,1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314
948,1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315
949,1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316
950,1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317
951,1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318
952,1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319
953,1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321
954,1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322
955,1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323
956,1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324
957,1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325
958,1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326
959,1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327
960,1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328
961,1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329
962,1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330
963,1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331
964,1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332
965,1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333
966,1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334
967,1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336
968,1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337
969,1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338
970,1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339
971,1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340
972,1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341
973,1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342
974,1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343
975,1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344
976,1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345
977,1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346
978,1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347
979,1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348
980,1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349
981,1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366
982,1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367
983,1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368
984,1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369
985,1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370
986,1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371
987,1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372
988,1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373
989,1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374
990,1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375
991,1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376
992,1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377
993,1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378
994,1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379
995,1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381
996,1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382
997,1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383
998,1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384
999,1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385
1000,1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386
1001,1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387
1002,1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388
1003,1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389
1004,1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390
1005,1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391
1006,1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392
1007,1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393
1008,1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394
1009,1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396
1010,1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397
1011,1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398
1012,1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399
1013,1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400
1014,1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401
1015,1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402
1016,1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403
1017,1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404
1018,1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405
1019,1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406
1020,1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407
1021,1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408
1022,1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409
1023,1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411
1024,1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412
1025,1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413
1026,1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414
1027,1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415
1028,1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416
1029,1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417
1030,1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418
1031,1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419
1032,1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420
1033,1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421
1034,1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422
1035,1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423
1036,1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424
1037,1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426
1038,1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427
1039,1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428
1040,1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429
1041,1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430
1042,1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431
1043,1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432
1044,1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433
1045,1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434
1046,1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435
1047,1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436
1048,1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437
1049,1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438
1050,1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439
1051,1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441
1052,1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442
1053,1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443
1054,1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444
1055,1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445
1056,1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446
1057,1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447
1058,1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448
1059,1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449
1060,1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450
1061,1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451
1062,1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452
1063,1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453
1064,1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454
1065,1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456
1066,1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457
1067,1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458
1068,1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459
1069,1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460
1070,1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461
1071,1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462
1072,1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463
1073,1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464
1074,1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465
1075,1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466
1076,1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467
1077,1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468
1078,1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469
1079,1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471
1080,1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472
1081,1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473
1082,1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474
1083,1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475
1084,1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476
1085,1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477
1086,1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478
1087,1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479
1088,1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480
1089,1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481
1090,1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482
1091,1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483
1092,1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484
1093,1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486
1094,1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487
1095,1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488
1096,1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489
1097,1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490
1098,1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491
1099,1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492
1100,1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493
1101,1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494
1102,1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495
1103,1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496
1104,1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497
1105,1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498
1106,1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499
1107,1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501
1108,1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502
1109,1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503
1110,1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504
1111,1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505
1112,1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506
1113,1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507
1114,1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508
1115,1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509
1116,1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510
1117,1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511
1118,1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512
1119,1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513
1120,1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514
1121,1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516
1122,1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517
1123,1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518
1124,1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519
1125,1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520
1126,1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521
1127,1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522
1128,1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523
1129,1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524
1130,1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525
1131,1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526
1132,1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527
1133,1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528
1134,1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529
1135,1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531
1136,1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532
1137,1293, 1294, 1309, 1308, 1518, 1519, 1534, 1533
1138,1294, 1295, 1310, 1309, 1519, 1520, 1535, 1534
1139,1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535
1140,1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536
1141,1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537
1142,1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538
1143,1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539
1144,1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540
1145,1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541
1146,1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542
1147,1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543
1148,1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544
1149,1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546
1150,1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547
1151,1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548
1152,1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549
1153,1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550
1154,1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551
1155,1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552
1156,1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553
1157,1314, 1315, 1330, 1329, 1539, 1540, 1555, 1554
1158,1315, 1316, 1331, 1330, 1540, 1541, 1556, 1555
1159,1316, 1317, 1332, 1331, 1541, 1542, 1557, 1556
1160,1317, 1318, 1333, 1332, 1542, 1543, 1558, 1557
1161,1318, 1319, 1334, 1333, 1543, 1544, 1559, 1558
1162,1319, 1320, 1335, 1334, 1544, 1545, 1560, 1559
1163,1321, 1322, 1337, 1336, 1546, 1547, 1562, 1561
1164,1322, 1323, 1338, 1337, 1547, 1548, 1563, 1562
1165,1323, 1324, 1339, 1338, 1548, 1549, 1564, 1563
1166,1324, 1325, 1340, 1339, 1549, 1550, 1565, 1564
1167,1325, 1326, 1341, 1340, 1550, 1551, 1566, 1565
1168,1326, 1327, 1342, 1341, 1551, 1552, 1567, 1566
1169,1327, 1328, 1343, 1342, 1552, 1553, 1568, 1567
1170,1328, 1329, 1344, 1343, 1553, 1554, 1569, 1568
1171,1329, 1330, 1345, 1344, 1554, 1555, 1570, 1569
1172,1330, 1331, 1346, 1345, 1555, 1556, 1571, 1570
1173,1331, 1332, 1347, 1346, 1556, 1557, 1572, 1571
1174,1332, 1333, 1348, 1347, 1557, 1558, 1573, 1572
1175,1333, 1334, 1349, 1348, 1558, 1559, 1574, 1573
1176,1334, 1335, 1350, 1349, 1559, 1560, 1575, 1574
1177,1351, 1352, 1367, 1366, 1576, 1577, 1592, 1591
1178,1352, 1353, 1368, 1367, 1577, 1578, 1593, 1592
1179,1353, 1354, 1369, 1368, 1578, 1579, 1594, 1593
1180,1354, 1355, 1370, 1369, 1579, 1580, 1595, 1594
1181,1355, 1356, 1371, 1370, 1580, 1581, 1596, 1595
1182,1356, 1357, 1372, 1371, 1581, 1582, 1597, 1596
1183,1357, 1358, 1373, 1372, 1582, 1583, 1598, 1597
1184,1358, 1359, 1374, 1373, 1583, 1584, 1599, 1598
1185,1359, 1360, 1375, 1374, 1584, 1585, 1600, 1599
1186,1360, 1361, 1376, 1375, 1585, 1586, 1601, 1600
1187,1361, 1362, 1377, 1376, 1586, 1587, 1602, 1601
1188,1362, 1363, 1378, 1377, 1587, 1588, 1603, 1602
1189,1363, 1364, 1379, 1378, 1588, 1589, 1604, 1603
1190,1364, 1365, 1380, 1379, 1589, 1590, 1605, 1604
1191,1366, 1367, 1382, 1381, 1591, 1592, 1607, 1606
1192,1367, 1368, 1383, 1382, 1592, 1593, 1608, 1607
1193,1368, 1369, 1384, 1383, 1593, 1594, 1609, 1608
1194,1369, 1370, 1385, 1384, 1594, 1595, 1610, 1609
1195,1370, 1371, 1386, 1385, 1595, 1596, 1611, 1610
1196,1371, 1372, 1387, 1386, 1596, 1597, 1612, 1611
1197,1372, 1373, 1388, 1387, 1597, 1598, 1613, 1612
1198,1373, 1374, 1389, 1388, 1598, 1599, 1614, 1613
1199,1374, 1375, 1390, 1389, 1599, 1600, 1615, 1614
1200,1375, 1376, 1391, 1390, 1600, 1601, 1616, 1615
1201,1376, 1377, 1392, 1391, 1601, 1602, 1617, 1616
1202,1377, 1378, 1393, 1392, 1602, 1603, 1618, 1617
1203,1378, 1379, 1394, 1393, 1603, 1604, 1619, 1618
1204,1379, 1380, 1395, 1394, 1604, 1605, 1620, 1619
1205,1381, 1382, 1397, 1396, 1606, 1607, 1622, 1621
1206,1382, 1383, 1398, 1397, 1607, 1608, 1623, 1622
1207,1383, 1384, 1399, 1398, 1608, 1609, 1624, 1623
1208,1384, 1385, 1400, 1399, 1609, 1610, 1625, 1624
1209,1385, 1386, 1401, 1400, 1610, 1611, 1626, 1625
1210,1386, 1387, 1402, 1401, 1611, 1612, 1627, 1626
1211,1387, 1388, 1403, 1402, 1612, 1613, 1628, 1627
1212,1388, 1389, 1404, 1403, 1613, 1614, 1629, 1628
1213,1389, 1390, 1405, 1404, 1614, 1615, 1630, 1629
1214,1390, 1391, 1406, 1405, 1615, 1616, 1631, 1630
1215,1391, 1392, 1407, 1406, 1616, 1617, 1632, 1631
1216,1392, 1393, 1408, 1407, 1617, 1618, 1633, 1632
1217,1393, 1394, 1409, 1408, 1618, 1619, 1634, 1633
1218,1394, 1395, 1410, 1409, 1619, 1620, 1635, 1634
1219,1396, 1397, 1412, 1411, 1621, 1622, 1637, 1636
1220,1397, 1398, 1413, 1412, 1622, 1623, 1638, 1637
1221,1398, 1399, 1414, 1413, 1623, 1624, 1639, 1638
1222,1399, 1400, 1415, 1414, 1624, 1625, 1640, 1639
1223,1400, 1401, 1416, 1415, 1625, 1626, 1641, 1640
1224,1401, 1402, 1417, 1416, 1626, 1627, 1642, 1641
1225,1402, 1403, 1418, 1417, 1627, 1628, 1643, 1642
1226,1403, 1404, 1419, 1418, 1628, 1629, 1644, 1643
1227,1404, 1405, 1420, 1419, 1629, 1630, 1645, 1644
1228,1405, 1406, 1421, 1420, 1630, 1631, 1646, 1645
1229,1406, 1407, 1422, 1421, 1631, 1632, 1647, 1646
1230,1407, 1408, 1423, 1422, 1632, 1633, 1648, 1647
1231,1408, 1409, 1424, 1423, 1633, 1634, 1649, 1648
1232,1409, 1410, 1425, 1424, 1634, 1635, 1650, 1649
1233,1411, 1412, 1427, 1426, 1636, 1637, 1652, 1651
1234,1412, 1413, 1428, 1427, 1637, 1638, 1653, 1652
1235,1413, 1414, 1429, 1428, 1638, 1639, 1654, 1653
1236,1414, 1415, 1430, 1429, 1639, 1640, 1655, 1654
1237,1415, 1416, 1431, 1430, 1640, 1641, 1656, 1655
1238,1416, 1417, 1432, 1431, 1641, 1642, 1657, 1656
1239,1417, 1418, 1433, 1432, 1642, 1643, 1658, 1657
1240,1418, 1419, 1434, 1433, 1643, 1644, 1659, 1658
1241,1419, 1420, 1435, 1434, 1644, 1645, 1660, 1659
1242,1420, 1421, 1436, 1435, 1645, 1646, 1661, 1660
1243,1421, 1422, 1437, 1436, 1646, 1647, 1662, 1661
1244,1422, 1423, 1438, 1437, 1647, 1648, 1663, 1662
1245,1423, 1424, 1439, 1438, 1648, 1649, 1664, 1663
1246,1424, 1425, 1440, 1439, 1649, 1650, 1665, 1664
1247,1426, 1427, 1442, 1441, 1651, 1652, 1667, 1666
1248,1427, 1428, 1443, 1442, 1652, 1653, 1668, 1667
1249,1428, 1429, 1444, 1443, 1653, 1654, 1669, 1668
1250,1429, 1430, 1445, 1444, 1654, 1655, 1670, 1669
1251,1430, 1431, 1446, 1445, 1655, 1656, 1671, 1670
1252,1431, 1432, 1447, 1446, 1656, 1657, 1672, 1671
1253,1432, 1433, 1448, 1447, 1657, 1658, 1673, 1672
1254,1433, 1434, 1449, 1448, 1658, 1659, 1674, 1673
1255,1434, 1435, 1450, 1449, 1659, 1660, 1675, 1674
1256,1435, 1436, 1451, 1450, 1660, 1661, 1676, 1675
1257,1436, 1437, 1452, 1451, 1661, 1662, 1677, 1676
1258,1437, 1438, 1453, 1452, 1662, 1663, 1678, 1677
1259,1438, 1439, 1454, 1453, 1663, 1664, 1679, 1678
1260,1439, 1440, 1455, 1454, 1664, 1665, 1680, 1679
1261,1441, 1442, 1457, 1456, 1666, 1667, 1682, 1681
1262,1442, 1443, 1458, 1457, 1667, 1668, 1683, 1682
1263,1443, 1444, 1459, 1458, 1668, 1669, 1684, 1683
1264,1444, 1445, 1460, 1459, 1669, 1670, 1685, 1684
1265,1445, 1446, 1461, 1460, 1670, 1671, 1686, 1685
1266,1446, 1447, 1462, 1461, 1671, 1672, 1687, 1686
1267,1447, 1448, 1463, 1462, 1672, 1673, 1688, 1687
1268,1448, 1449, 1464, 1463, 1673, 1674, 1689, 1688
1269,1449, 1450, 1465, 1464, 1674, 1675, 1690, 1689
1270,1450, 1451, 1466, 1465, 1675, 1676, 1691, 1690
1271,1451, 1452, 1467, 1466, 1676, 1677, 1692, 1691
1272,1452, 1453, 1468, 1467, 1677, 1678, 1693, 1692
1273,1453, 1454, 1469, 1468, 1678, 1679, 1694, 1693
1274,1454, 1455, 1470, 1469, 1679, 1680, 1695, 1694
1275,1456, 1457, 1472, 1471, 1681, 1682, 1697, 1696
1276,1457, 1458, 1473, 1472, 1682, 1683, 1698, 1697
1277,1458, 1459, 1474, 1473, 1683, 1684, 1699, 1698
1278,1459, 1460, 1475, 1474, 1684, 1685, 1700, 1699
1279,1460, 1461, 1476, 1475, 1685, 1686, 1701, 1700
1280,1461, 1462, 1477, 1476, 1686, 1687, 1702, 1701
1281,1462, 1463, 1478, 1477, 1687, 1688, 1703, 1702
1282,1463, 1464, 1479, 1478, 1688, 1689, 1704, 1703
1283,1464, 1465, 1480, 1479, 1689, 1690, 1705, 1704
1284,1465, 1466, 1481, 1480, 1690, 1691, 1706, 1705
1285,1466, 1467, 1482, 1481, 1691, 1692, 1707, 1706
1286,1467, 1468, 1483, 1482, 1692, 1693, 1708, 1707
1287,1468, 1469, 1484, 1483, 1693, 1694, 1709, 1708
1288,1469, 1470, 1485, 1484, 1694, 1695, 1710, 1709
1289,1471, 1472, 1487, 1486, 1696, 1697, 1712, 1711
1290,1472, 1473, 1488, 1487, 1697, 1698, 1713, 1712
1291,1473, 1474, 1489, 1488, 1698, 1699, 1714, 1713
1292,1474, 1475, 1490, 1489, 1699, 1700, 1715, 1714
1293,1475, 1476, 1491, 1490, 1700, 1701, 1716, 1715
1294,1476, 1477, 1492, 1491, 1701, 1702, 1717, 1716
1295,1477, 1478, 1493, 1492, 1702, 1703, 1718, 1717
1296,1478, 1479, 1494, 1493, 1703, 1704, 1719, 1718
1297,1479, 1480, 1495, 1494, 1704, 1705, 1720, 1719
1298,1480, 1481, 1496, 1495, 1705, 1706, 1721, 1720
1299,1481, 1482, 1497, 1496, 1706, 1707, 1722, 1721
1300,1482, 1483, 1498, 1497, 1707, 1708, 1723, 1722
1301,1483, 1484, 1499, 1498, 1708, 1709, 1724, 1723
1302,1484, 1485, 1500, 1499, 1709, 1710, 1725, 1724
1303,1486, 1487, 1502, 1501, 1711, 1712, 1727, 1726
1304,1487, 1488, 1503, 1502, 1712, 1713, 1728, 1727
1305,1488, 1489, 1504, 1503, 1713, 1714, 1729, 1728
1306,1489, 1490, 1505, 1504, 1714, 1715, 1730, 1729
1307,1490, 1491, 1506, 1505, 1715, 1716, 1731, 1730
1308,1491, 1492, 1507, 1506, 1716, 1717, 1732, 1731
1309,1492, 1493, 1508, 1507, 1717, 1718, 1733, 1732
1310,1493, 1494, 1509, 1508, 1718, 1719, 1734, 1733
1311,1494, 1495, 1510, 1509, 1719, 1720, 1735, 1734
1312,1495, 1496, 1511, 1510, 1720, 1721, 1736, 1735
1313,1496, 1497, 1512, 1511, 1721, 1722, 1737, 1736
1314,1497, 1498, 1513, 1512, 1722, 1723, 1738, 1737
1315,1498, 1499, 1514, 1513, 1723, 1724, 1739, 1738
1316,1499, 1500, 1515, 1514, 1724, 1725, 1740, 1739
1317,1501, 1502, 1517, 1516, 1726, 1727, 1742, 1741
1318,1502, 1503, 1518, 1517, 1727, 1728, 1743, 1742
1319,1503, 1504, 1519, 1518, 1728, 1729, 1744, 1743
1320,1504, 1505, 1520, 1519, 1729, 1730, 1745, 1744
1321,1505, 1506, 1521, 1520, 1730, 1731, 1746, 1745
1322,1506, 1507, 1522, 1521, 1731, 1732, 1747, 1746
1323,1507, 1508, 1523, 1522, 1732, 1733, 1748, 1747
1324,1508, 1509, 1524, 1523, 1733, 1734, 1749, 1748
1325,1509, 1510, 1525, 1524, 1734, 1735, 1750, 1749
1326,1510, 1511, 1526, 1525, 1735, 1736, 1751, 1750
1327,1511, 1512, 1527, 1526, 1736, 1737, 1752, 1751
1328,1512, 1513, 1528, 1527, 1737, 1738, 1753, 1752
1329,1513, 1514, 1529, 1528, 1738, 1739, 1754, 1753
1330,1514, 1515, 1530, 1529, 1739, 1740, 1755, 1754
1331,1516, 1517, 1532, 1531, 1741, 1742, 1757, 1756
1332,1517, 1518, 1533, 1532, 1742, 1743, 1758, 1757
1333,1518, 1519, 1534, 1533, 1743, 1744, 1759, 1758
1334,1519, 1520, 1535, 1534, 1744, 1745, 1760, 1759
1335,1520, 1521, 1536, 1535, 1745, 1746, 1761, 1760
1336,1521, 1522, 1537, 1536, 1746, 1747, 1762, 1761
1337,1522, 1523, 1538, 1537, 1747, 1748, 1763, 1762
1338,1523, 1524, 1539, 1538, 1748, 1749, 1764, 1763
1339,1524, 1525, 1540, 1539, 1749, 1750, 1765, 1764
1340,1525, 1526, 1541, 1540, 1750, 1751, 1766, 1765
1341,1526, 1527, 1542, 1541, 1751, 1752, 1767, 1766
1342,1527, 1528, 1543, 1542, 1752, 1753, 1768, 1767
1343,1528, 1529, 1544, 1543, 1753, 1754, 1769, 1768
1344,1529, 1530, 1545, 1544, 1754, 1755, 1770, 1769
1345,1531, 1532, 1547, 1546, 1756, 1757, 1772, 1771
1346,1532, 1533, 1548, 1547, 1757, 1758, 1773, 1772
1347,1533, 1534, 1549, 1548, 1758, 1759, 1774, 1773
1348,1534, 1535, 1550, 1549, 1759, 1760, 1775, 1774
1349,1535, 1536, 1551, 1550, 1760, 1761, 1776, 1775
1350,1536, 1537, 1552, 1551, 1761, 1762, 1777, 1776
1351,1537, 1538, 1553, 1552, 1762, 1763, 1778, 1777
1352,1538, 1539, 1554, 1553, 1763, 1764, 1779, 1778
1353,1539, 1540, 1555, 1554, 1764, 1765, 1780, 1779
1354,1540, 1541, 1556, 1555, 1765, 1766, 1781, 1780
1355,1541, 1542, 1557, 1556, 1766, 1767, 1782, 1781
1356,1542, 1543, 1558, 1557, 1767, 1768, 1783, 1782
1357,1543, 1544, 1559, 1558, 1768, 1769, 1784, 1783
1358,1544, 1545, 1560, 1559, 1769, 1770, 1785, 1784
1359,1546, 1547, 1562, 1561, 1771, 1772, 1787, 1786
1360,1547, 1548, 1563, 1562, 1772, 1773, 1788, 1787
1361,1548, 1549, 1564, 1563, 1773, 1774, 1789, 1788
1362,1549, 1550, 1565, 1564, 1774, 1775, 1790, 1789
1363,1550, 1551, 1566, 1565, 1775, 1776, 1791, 1790
1364,1551, 1552, 1567, 1566, 1776, 1777, 1792, 1791
1365,1552, 1553, 1568, 1567, 1777, 1778, 1793, 1792
1366,1553, 1554, 1569, 1568, 1778, 1779, 1794, 1793
1367,1554, 1555, 1570, 1569, 1779, 1780, 1795, 1794
1368,1555, 1556, 1571, 1570, 1780, 1781, 1796, 1795
1369,1556, 1557, 1572, 1571, 1781, 1782, 1797, 1796
1370,1557, 1558, 1573, 1572, 1782, 1783, 1798, 1797
1371,1558, 1559, 1574, 1573, 1783, 1784, 1799, 1798
1372,1559, 1560, 1575, 1574, 1784, 1785, 1800, 1799
1373,1576, 1577, 1592, 1591, 1801, 1802, 1817, 1816
1374,1577, 1578, 1593, 1592, 1802, 1803, 1818, 1817
1375,1578, 1579, 1594, 1593, 1803, 1804, 1819, 1818
1376,1579, 1580, 1595, 1594, 1804, 1805, 1820, 1819
1377,1580, 1581, 1596, 1595, 1805, 1806, 1821, 1820
1378,1581, 1582, 1597, 1596, 1806, 1807, 1822, 1821
1379,1582, 1583, 1598, 1597, 1807, 1808, 1823, 1822
1380,1583, 1584, 1599, 1598, 1808, 1809, 1824, 1823
1381,1584, 1585, 1600, 1599, 1809, 1810, 1825, 1824
1382,1585, 1586, 1601, 1600, 1810, 1811, 1826, 1825
1383,1586, 1587, 1602, 1601, 1811, 1812, 1827, 1826
1384,1587, 1588, 1603, 1602, 1812, 1813, 1828, 1827
1385,1588, 1589, 1604, 1603, 1813, 1814, 1829, 1828
1386,1589, 1590, 1605, 1604, 1814, 1815, 1830, 1829
1387,1591, 1592, 1607, 1606, 1816, 1817, 1832, 1831
1388,1592, 1593, 1608, 1607, 1817, 1818, 1833, 1832
1389,1593, 1594, 1609, 1608, 1818, 1819, 1834, 1833
1390,1594, 1595, 1610, 1609, 1819, 1820, 1835, 1834
1391,1595, 1596, 1611, 1610, 1820, 1821, 1836, 1835
1392,1596, 1597, 1612, 1611, 1821, 1822, 1837, 1836
1393,1597, 1598, 1613, 1612, 1822, 1823, 1838, 1837
1394,1598, 1599, 1614, 1613, 1823, 1824, 1839, 1838
1395,1599, 1600, 1615, 1614, 1824, 1825, 1840, 1839
1396,1600, 1601, 1616, 1615, 1825, 1826, 1841, 1840
1397,1601, 1602, 1617, 1616, 1826, 1827, 1842, 1841
1398,1602, 1603, 1618, 1617, 1827, 1828, 1843, 1842
1399,1603, 1604, 1619, 1618, 1828, 1829, 1844, 1843
1400,1604, 1605, 1620, 1619, 1829, 1830, 1845, 1844
1401,1606, 1607, 1622, 1621, 1831, 1832, 1847, 1846
1402,1607, 1608, 1623, 1622, 1832, 1833, 1848, 1847
1403,1608, 1609, 1624, 1623, 1833, 1834, 1849, 1848
1404,1609, 1610, 1625, 1624, 1834, 1835, 1850, 1849
1405,1610, 1611, 1626, 1625, 1835, 1836, 1851, 1850
1406,1611, 1612, 1627, 1626, 1836, 1837, 1852, 1851
1407,1612, 1613, 1628, 1627, 1837, 1838, 1853, 1852
1408,1613, 1614, 1629, 1628, 1838, 1839, 1854, 1853
1409,1614, 1615, 1630, 1629, 1839, 1840, 1855, 1854
1410,1615, 1616, 1631, 1630, 1840, 1841, 1856, 1855
1411,1616, 1617, 1632, 1631, 1841, 1842, 1857, 1856
1412,1617, 1618, 1633, 1632, 1842, 1843, 1858, 1857
1413,1618, 1619, 1634, 1633, 1843, 1844, 1859, 1858
1414,1619, 1620, 1635, 1634, 1844, 1845, 1860, 1859
1415,1621, 1622, 1637, 1636, 1846, 1847, 1862, 1861
1416,1622, 1623, 1638, 1637, 1847, 1848, 1863, 1862
1417,1623, 1624, 1639, 1638, 1848, 1849, 1864, 1863
1418,1624, 1625, 1640, 1639, 1849, 1850, 1865, 1864
1419,1625, 1626, 1641, 1640, 1850, 1851, 1866, 1865
1420,1626, 1627, 1642, 1641, 1851, 1852, 1867, 1866
1421,1627, 1628, 1643, 1642, 1852, 1853, 1868, 1867
1422,1628, 1629, 1644, 1643, 1853, 1854, 1869, 1868
1423,1629, 1630, 1645, 1644, 1854, 1855, 1870, 1869
1424,1630, 1631, 1646, 1645, 1855, 1856, 1871, 1870
1425,1631, 1632, 1647, 1646, 1856, 1857, 1872, 1871
1426,1632, 1633, 1648, 1647, 1857, 1858, 1873, 1872
1427,1633, 1634, 1649, 1648, 1858, 1859, 1874, 1873
1428,1634, 1635, 1650, 1649, 1859, 1860, 1875, 1874
1429,1636, 1637, 1652, 1651, 1861, 1862, 1877, 1876
1430,1637, 1638, 1653, 1652, 1862, 1863, 1878, 1877
1431,1638, 1639, 1654, 1653, 1863, 1864, 1879, 1878
1432,1639, 1640, 1655, 1654, 1864, 1865, 1880, 1879
1433,1640, 1641, 1656, 1655, 1865, 1866, 1881, 1880
1434,1641, 1642, 1657, 1656, 1866, 1867, 1882, 1881
1435,1642, 1643, 1658, 1657, 1867, 1868, 1883, 1882
1436,1643, 1644, 1659, 1658, 1868, 1869, 1884, 1883
1437,1644, 1645, 1660, 1659, 1869, 1870, 1885, 1884
1438,1645, 1646, 1661, 1660, 1870, 1871, 1886, 1885
1439,1646, 1647, 1662, 1661, 1871, 1872, 1887, 1886
1440,1647, 1648, 1663, 1662, 1872, 1873, 1888, 1887
1441,1648, 1649, 1664, 1663, 1873, 1874, 1889, 1888
1442,1649, 1650, 1665, 1664, 1874, 1875, 1890, 1889
1443,1651, 1652, 1667, 1666, 1876, 1877, 1892, 1891
1444,1652, 1653, 1668, 1667, 1877, 1878, 1893, 1892
1445,1653, 1654, 1669, 1668, 1878, 1879, 1894, 1893
1446,1654, 1655, 1670, 1669, 1879, 1880, 1895, 1894
1447,1655, 1656, 1671, 1670, 1880, 1881, 1896, 1895
1448,1656, 1657, 1672, 1671, 1881, 1882, 1897, 1896
1449,1657, 1658, 1673, 1672, 1882, 1883, 1898, 1897
1450,1658, 1659, 1674, 1673, 1883, 1884, 1899, 1898
1451,1659, 1660, 1675, 1674, 1884, 1885, 1900, 1899
1452,1660, 1661, 1676, 1675, 1885, 1886, 1901, 1900
1453,1661, 1662, 1677, 1676, 1886, 1887, 1902, 1901
1454,1662, 1663, 1678, 1677, 1887, 1888, 1903, 1902
1455,1663, 1664, 1679, 1678, 1888, 1889, 1904, 1903
1456,1664, 1665, 1680, 1679, 1889, 1890, 1905, 1904
1457,1666, 1667, 1682, 1681, 1891, 1892, 1907, 1906
1458,1667, 1668, 1683, 1682, 1892, 1893, 1908, 1907
1459,1668, 1669, 1684, 1683, 1893, 1894, 1909, 1908
1460,1669, 1670, 1685, 1684, 1894, 1895, 1910, 1909
1461,1670, 1671, 1686, 1685, 1895, 1896, 1911, 1910
1462,1671, 1672, 1687, 1686, 1896, 1897, 1912, 1911
1463,1672, 1673, 1688, 1687, 1897, 1898, 1913, 1912
1464,1673, 1674, 1689, 1688, 1898, 1899, 1914, 1913
1465,1674, 1675, 1690, 1689, 1899, 1900, 1915, 1914
1466,1675, 1676, 1691, 1690, 1900, 1901, 1916, 1915
1467,1676, 1677, 1692, 1691, 1901, 1902, 1917, 1916
1468,1677, 1678, 1693, 1692, 1902, 1903, 1918, 1917
1469,1678, 1679, 1694, 1693, 1903, 1904, 1919, 1918
1470,1679, 1680, 1695, 1694, 1904, 1905, 1920, 1919
1471,1681, 1682, 1697, 1696, 1906, 1907, 1922, 1921
1472,1682, 1683, 1698, 1697, 1907, 1908, 1923, 1922
1473,1683, 1684, 1699, 1698, 1908, 1909, 1924, 1923
1474,1684, 1685, 1700, 1699, 1909, 1910, 1925, 1924
1475,1685, 1686, 1701, 1700, 1910, 1911, 1926, 1925
1476,1686, 1687, 1702, 1701, 1911, 1912, 1927, 1926
1477,1687, 1688, 1703, 1702, 1912, 1913, 1928, 1927
1478,1688, 1689, 1704, 1703, 1913, 1914, 1929, 1928
1479,1689, 1690, 1705, 1704, 1914, 1915, 1930, 1929
1480,1690, 1691, 1706, 1705, 1915, 1916, 1931, 1930
1481,1691, 1692, 1707, 1706, 1916, 1917, 1932, 1931
1482,1692, 1693, 1708, 1707, 1917, 1918, 1933, 1932
1483,1693, 1694, 1709, 1708, 1918, 1919, 1934, 1933
1484,1694, 1695, 1710, 1709, 1919, 1920, 1935, 1934
1485,1696, 1697, 1712, 1711, 1921, 1922, 1937, 1936
1486,1697, 1698, 1713, 1712, 1922, 1923, 1938, 1937
1487,1698, 1699, 1714, 1713, 1923, 1924, 1939, 1938
1488,1699, 1700, 1715, 1714, 1924, 1925, 1940, 1939
1489,1700, 1701, 1716, 1715, 1925, 1926, 1941, 1940
1490,1701, 1702, 1717, 1716, 1926, 1927, 1942, 1941
1491,1702, 1703, 1718, 1717, 1927, 1928, 1943, 1942
1492,1703, 1704, 1719, 1718, 1928, 1929, 1944, 1943
1493,1704, 1705, 1720, 1719, 1929, 1930, 1945, 1944
1494,1705, 1706, 1721, 1720, 1930, 1931, 1946, 1945
1495,1706, 1707, 1722, 1721, 1931, 1932, 1947, 1946
1496,1707, 1708, 1723, 1722, 1932, 1933, 1948, 1947
1497,1708, 1709, 1724, 1723, 1933, 1934, 1949, 1948
1498,1709, 1710, 1725, 1724, 1934, 1935, 1950, 1949
1499,1711, 1712, 1727, 1726, 1936, 1937, 1952, 1951
1500,1712, 1713, 1728, 1727, 1937, 1938, 1953, 1952
1501,1713, 1714, 1729, 1728, 1938, 1939, 1954, 1953
1502,1714, 1715, 1730, 1729, 1939, 1940, 1955, 1954
1503,1715, 1716, 1731, 1730, 1940, 1941, 1956, 1955
1504,1716, 1717, 1732, 1731, 1941, 1942, 1957, 1956
1505,1717, 1718, 1733, 1732, 1942, 1943, 1958, 1957
1506,1718, 1719, 1734, 1733, 1943, 1944, 1959, 1958
1507,1719, 1720, 1735, 1734, 1944, 1945, 1960, 1959
1508,1720, 1721, 1736, 1735, 1945, 1946, 1961, 1960
1509,1721, 1722, 1737, 1736, 1946, 1947, 1962, 1961
1510,1722, 1723, 1738, 1737, 1947, 1948, 1963, 1962
1511,1723, 1724, 1739, 1738, 1948, 1949, 1964, 1963
1512,1724, 1725, 1740, 1739, 1949, 1950, 1965, 1964
1513,1726, 1727, 1742, 1741, 1951, 1952, 1967, 1966
1514,1727, 1728, 1743, 1742, 1952, 1953, 1968, 1967
1515,1728, 1729, 1744, 1743, 1953, 1954, 1969, 1968
1516,1729, 1730, 1745, 1744, 1954, 1955, 1970, 1969
1517,1730, 1731, 1746, 1745, 1955, 1956, 1971, 1970
1518,1731, 1732, 1747, 1746, 1956, 1957, 1972, 1971
1519,1732, 1733, 1748, 1747, 1957, 1958, 1973, 1972
1520,1733, 1734, 1749, 1748, 1958, 1959, 1974, 1973
1521,1734, 1735, 1750, 1749, 1959, 1960, 1975, 1974
1522,1735, 1736, 1751, 1750, 1960, 1961, 1976, 1975
1523,1736, 1737, 1752, 1751, 1961, 1962, 1977, 1976
1524,1737, 1738, 1753, 1752, 1962, 1963, 1978, 1977
1525,1738, 1739, 1754, 1753, 1963, 1964, 1979, 1978
1526,1739, 1740, 1755, 1754, 1964, 1965, 1980, 1979
1527,1741, 1742, 1757, 1756, 1966, 1967, 1982, 1981
1528,1742, 1743, 1758, 1757, 1967, 1968, 1983, 1982
1529,1743, 1744, 1759, 1758, 1968, 1969, 1984, 1983
1530,1744, 1745, 1760, 1759, 1969, 1970, 1985, 1984
1531,1745, 1746, 1761, 1760, 1970, 1971, 1986, 1985
1532,1746, 1747, 1762, 1761, 1971, 1972, 1987, 1986
1533,1747, 1748, 1763, 1762, 1972, 1973, 1988, 1987
1534,1748, 1749, 1764, 1763, 1973, 1974, 1989, 1988
1535,1749, 1750, 1765, 1764, 1974, 1975, 1990, 1989
1536,1750, 1751, 1766, 1765, 1975, 1976, 1991, 1990
1537,1751, 1752, 1767, 1766, 1976, 1977, 1992, 1991
1538,1752, 1753, 1768, 1767, 1977, 1978, 1993, 1992
1539,1753, 1754, 1769, 1768, 1978, 1979, 1994, 1993
1540,1754, 1755, 1770, 1769, 1979, 1980, 1995, 1994
1541,1756, 1757, 1772, 1771, 1981, 1982, 1997, 1996
1542,1757, 1758, 1773, 1772, 1982, 1983, 1998, 1997
1543,1758, 1759, 1774, 1773, 1983, 1984, 1999, 1998
1544,1759, 1760, 1775, 1774, 1984, 1985, 2000, 1999
1545,1760, 1761, 1776, 1775, 1985, 1986, 2001, 2000
1546,1761, 1762, 1777, 1776, 1986, 1987, 2002, 2001
1547,1762, 1763, 1778, 1777, 1987, 1988, 2003, 2002
1548,1763, 1764, 1779, 1778, 1988, 1989, 2004, 2003
1549,1764, 1765, 1780, 1779, 1989, 1990, 2005, 2004
1550,1765, 1766, 1781, 1780, 1990, 1991, 2006, 2005
1551,1766, 1767, 1782, 1781, 1991, 1992, 2007, 2006
1552,1767, 1768, 1783, 1782, 1992, 1993, 2008, 2007
1553,1768, 1769, 1784, 1783, 1993, 1994, 2009, 2008
1554,1769, 1770, 1785, 1784, 1994, 1995, 2010, 2009
1555,1771, 1772, 1787, 1786, 1996, 1997, 2012, 2011
1556,1772, 1773, 1788, 1787, 1997, 1998, 2013, 2012
1557,1773, 1774, 1789, 1788, 1998, 1999, 2014, 2013
1558,1774, 1775, 1790, 1789, 1999, 2000, 2015, 2014
1559,1775, 1776, 1791, 1790, 2000, 2001, 2016, 2015
1560,1776, 1777, 1792, 1791, 2001, 2002, 2017, 2016
1561,1777, 1778, 1793, 1792, 2002, 2003, 2018, 2017
1562,1778, 1779, 1794, 1793, 2003, 2004, 2019, 2018
1563,1779, 1780, 1795, 1794, 2004, 2005, 2020, 2019
1564,1780, 1781, 1796, 1795, 2005, 2006, 2021, 2020
1565,1781, 1782, 1797, 1796, 2006, 2007, 2022, 2021
1566,1782, 1783, 1798, 1797, 2007, 2008, 2023, 2022
1567,1783, 1784, 1799, 1798, 2008, 2009, 2024, 2023
1568,1784, 1785, 1800, 1799, 2009, 2010, 2025, 2024
1569,1801, 1802, 1817, 1816, 2026, 2027, 2042, 2041
1570,1802, 1803, 1818, 1817, 2027, 2028, 2043, 2042
1571,1803, 1804, 1819, 1818, 2028, 2029, 2044, 2043
1572,1804, 1805, 1820, 1819, 2029, 2030, 2045, 2044
1573,1805, 1806, 1821, 1820, 2030, 2031, 2046, 2045
1574,1806, 1807, 1822, 1821, 2031, 2032, 2047, 2046
1575,1807, 1808, 1823, 1822, 2032, 2033, 2048, 2047
1576,1808, 1809, 1824, 1823, 2033, 2034, 2049, 2048
1577,1809, 1810, 1825, 1824, 2034, 2035, 2050, 2049
1578,1810, 1811, 1826, 1825, 2035, 2036, 2051, 2050
1579,1811, 1812, 1827, 1826, 2036, 2037, 2052, 2051
1580,1812, 1813, 1828, 1827, 2037, 2038, 2053, 2052
1581,1813, 1814, 1829, 1828, 2038, 2039, 2054, 2053
1582,1814, 1815, 1830, 1829, 2039, 2040, 2055, 2054
1583,1816, 1817, 1832, 1831, 2041, 2042, 2057, 2056
1584,1817, 1818, 1833, 1832, 2042, 2043, 2058, 2057
1585,1818, 1819, 1834, 1833, 2043, 2044, 2059, 2058
1586,1819, 1820, 1835, 1834, 2044, 2045, 2060, 2059
1587,1820, 1821, 1836, 1835, 2045, 2046, 2061, 2060
1588,1821, 1822, 1837, 1836, 2046, 2047, 2062, 2061
1589,1822, 1823, 1838, 1837, 2047, 2048, 2063, 2062
1590,1823, 1824, 1839, 1838, 2048, 2049, 2064, 2063
1591,1824, 1825, 1840, 1839, 2049, 2050, 2065, 2064
1592,1825, 1826, 1841, 1840, 2050, 2051, 2066, 2065
1593,1826, 1827, 1842, 1841, 2051, 2052, 2067, 2066
1594,1827, 1828, 1843, 1842, 2052, 2053, 2068, 2067
1595,1828, 1829, 1844, 1843, 2053, 2054, 2069, 2068
1596,1829, 1830, 1845, 1844, 2054, 2055, 2070, 2069
1597,1831, 1832, 1847, 1846, 2056, 2057, 2072, 2071
1598,1832, 1833, 1848, 1847, 2057, 2058, 2073, 2072
1599,1833, 1834, 1849, 1848, 2058, 2059, 2074, 2073
1600,1834, 1835, 1850, 1849, 2059, 2060, 2075, 2074
1601,1835, 1836, 1851, 1850, 2060, 2061, 2076, 2075
1602,1836, 1837, 1852, 1851, 2061, 2062, 2077, 2076
1603,1837, 1838, 1853, 1852, 2062, 2063, 2078, 2077
1604,1838, 1839, 1854, 1853, 2063, 2064, 2079, 2078
1605,1839, 1840, 1855, 1854, 2064, 2065, 2080, 2079
1606,1840, 1841, 1856, 1855, 2065, 2066, 2081, 2080
1607,1841, 1842, 1857, 1856, 2066, 2067, 2082, 2081
1608,1842, 1843, 1858, 1857, 2067, 2068, 2083, 2082
1609,1843, 1844, 1859, 1858, 2068, 2069, 2084, 2083
1610,1844, 1845, 1860, 1859, 2069, 2070, 2085, 2084
1611,1846, 1847, 1862, 1861, 2071, 2072, 2087, 2086
1612,1847, 1848, 1863, 1862, 2072, 2073, 2088, 2087
1613,1848, 1849, 1864, 1863, 2073, 2074, 2089, 2088
1614,1849, 1850, 1865, 1864, 2074, 2075, 2090, 2089
1615,1850, 1851, 1866, 1865, 2075, 2076, 2091, 2090
1616,1851, 1852, 1867, 1866, 2076, 2077, 2092, 2091
1617,1852, 1853, 1868, 1867, 2077, 2078, 2093, 2092
1618,1853, 1854, 1869, 1868, 2078, 2079, 2094, 2093
1619,1854, 1855, 1870, 1869, 2079, 2080, 2095, 2094
1620,1855, 1856, 1871, 1870, 2080, 2081, 2096, 2095
1621,1856, 1857, 1872, 1871, 2081, 2082, 2097, 2096
1622,1857, 1858, 1873, 1872, 2082, 2083, 2098, 2097
1623,1858, 1859, 1874, 1873, 2083, 2084, 2099, 2098
1624,1859, 1860, 1875, 1874, 2084, 2085, 2100, 2099
1625,1861, 1862, 1877, 1876, 2086, 2087, 2102, 2101
1626,1862, 1863, 1878, 1877, 2087, 2088, 2103, 2102
1627,1863, 1864, 1879, 1878, 2088, 2089, 2104, 2103
1628,1864, 1865, 1880, 1879, 2089, 2090, 2105, 2104
1629,1865, 1866, 1881, 1880, 2090, 2091, 2106, 2105
1630,1866, 1867, 1882, 1881, 2091, 2092, 2107, 2106
1631,1867, 1868, 1883, 1882, 2092, 2093, 2108, 2107
1632,1868, 1869, 1884, 1883, 2093, 2094, 2109, 2108
1633,1869, 1870, 1885, 1884, 2094, 2095, 2110, 2109
1634,1870, 1871, 1886, 1885, 2095, 2096, 2111, 2110
1635,1871, 1872, 1887, 1886, 2096, 2097, 2112, 2111
1636,1872, 1873, 1888, 1887, 2097, 2098, 2113, 2112
1637,1873, 1874, 1889, 1888, 2098, 2099, 2114, 2113
1638,1874, 1875, 1890, 1889, 2099, 2100, 2115, 2114
1639,1876, 1877, 1892, 1891, 2101, 2102, 2117, 2116
1640,1877, 1878, 1893, 1892, 2102, 2103, 2118, 2117
1641,1878, 1879, 1894, 1893, 2103, 2104, 2119, 2118
1642,1879, 1880, 1895, 1894, 2104, 2105, 2120, 2119
1643,1880, 1881, 1896, 1895, 2105, 2106, 2121, 2120
1644,1881, 1882, 1897, 1896, 2106, 2107, 2122, 2121
1645,1882, 1883, 1898, 1897, 2107, 2108, 2123, 2122
1646,1883, 1884, 1899, 1898, 2108, 2109, 2124, 2123
1647,1884, 1885, 1900, 1899, 2109, 2110, 2125, 2124
1648,1885, 1886, 1901, 1900, 2110, 2111, 2126, 2125
1649,1886, 1887, 1902, 1901, 2111, 2112, 2127, 2126
1650,1887, 1888, 1903, 1902, 2112, 2113, 2128, 2127
1651,1888, 1889, 1904, 1903, 2113, 2114, 2129, 2128
1652,1889, 1890, 1905, 1904, 2114, 2115, 2130, 2129
1653,1891, 1892, 1907, 1906, 2116, 2117, 2132, 2131
1654,1892, 1893, 1908, 1907, 2117, 2118, 2133, 2132
1655,1893, 1894, 1909, 1908, 2118, 2119, 2134, 2133
1656,1894, 1895, 1910, 1909, 2119, 2120, 2135, 2134
1657,1895, 1896, 1911, 1910, 2120, 2121, 2136, 2135
1658,1896, 1897, 1912, 1911, 2121, 2122, 2137, 2136
1659,1897, 1898, 1913, 1912, 2122, 2123, 2138, 2137
1660,1898, 1899, 1914, 1913, 2123, 2124, 2139, 2138
1661,1899, 1900, 1915, 1914, 2124, 2125, 2140, 2139
1662,1900, 1901, 1916, 1915, 2125, 2126, 2141, 2140
1663,1901, 1902, 1917, 1916, 2126, 2127, 2142, 2141
1664,1902, 1903, 1918, 1917, 2127, 2128, 2143, 2142
1665,1903, 1904, 1919, 1918, 2128, 2129, 2144, 2143
1666,1904, 1905, 1920, 1919, 2129, 2130, 2145, 2144
1667,1906, 1907, 1922, 1921, 2131, 2132, 2147, 2146
1668,1907, 1908, 1923, 1922, 2132, 2133, 2148, 2147
1669,1908, 1909, 1924, 1923, 2133, 2134, 2149, 2148
1670,1909, 1910, 1925, 1924, 2134, 2135, 2150, 2149
1671,1910, 1911, 1926, 1925, 2135, 2136, 2151, 2150
1672,1911, 1912, 1927, 1926, 2136, 2137, 2152, 2151
1673,1912, 1913, 1928, 1927, 2137, 2138, 2153, 2152
1674,1913, 1914, 1929, 1928, 2138, 2139, 2154, 2153
1675,1914, 1915, 1930, 1929, 2139, 2140, 2155, 2154
1676,1915, 1916, 1931, 1930, 2140, 2141, 2156, 2155
1677,1916, 1917, 1932, 1931, 2141, 2142, 2157, 2156
1678,1917, 1918, 1933, 1932, 2142, 2143, 2158, 2157
1679,1918, 1919, 1934, 1933, 2143, 2144, 2159, 2158
1680,1919, 1920, 1935, 1934, 2144, 2145, 2160, 2159
1681,1921, 1922, 1937, 1936, 2146, 2147, 2162, 2161
1682,1922, 1923, 1938, 1937, 2147, 2148, 2163, 2162
1683,1923, 1924, 1939, 1938, 2148, 2149, 2164, 2163
1684,1924, 1925, 1940, 1939, 2149, 2150, 2165, 2164
1685,1925, 1926, 1941, 1940, 2150, 2151, 2166, 2165
1686,1926, 1927, 1942, 1941, 2151, 2152, 2167, 2166
1687,1927, 1928, 1943, 1942, 2152, 2153, 2168, 2167
1688,1928, 1929, 1944, 1943, 2153, 2154, 2169, 2168
1689,1929, 1930, 1945, 1944, 2154, 2155, 2170, 2169
1690,1930, 1931, 1946, 1945, 2155, 2156, 2171, 2170
1691,1931, 1932, 1947, 1946, 2156, 2157, 2172, 2171
1692,1932, 1933, 1948, 1947, 2157, 2158, 2173, 2172
1693,1933, 1934, 1949, 1948, 2158, 2159, 2174, 2173
1694,1934, 1935, 1950, 1949, 2159, 2160, 2175, 2174
1695,1936, 1937, 1952, 1951, 2161, 2162, 2177, 2176
1696,1937, 1938, 1953, 1952, 2162, 2163, 2178, 2177
1697,1938, 1939, 1954, 1953, 2163, 2164, 2179, 2178
1698,1939, 1940, 1955, 1954, 2164, 2165, 2180, 2179
1699,1940, 1941, 1956, 1955, 2165, 2166, 2181, 2180
1700,1941, 1942, 1957, 1956, 2166, 2167, 2182, 2181
1701,1942, 1943, 1958, 1957, 2167, 2168, 2183, 2182
1702,1943, 1944, 1959, 1958, 2168, 2169, 2184, 2183
1703,1944, 1945, 1960, 1959, 2169, 2170, 2185, 2184
1704,1945, 1946, 1961, 1960, 2170, 2171, 2186, 2185
1705,1946, 1947, 1962, 1961, 2171, 2172, 2187, 2186
1706,1947, 1948, 1963, 1962, 2172, 2173, 2188, 2187
1707,1948, 1949, 1964, 1963, 2173, 2174, 2189, 2188
1708,1949, 1950, 1965, 1964, 2174, 2175, 2190, 2189
1709,1951, 1952, 1967, 1966, 2176, 2177, 2192, 2191
1710,1952, 1953, 1968, 1967, 2177, 2178, 2193, 2192
1711,1953, 1954, 1969, 1968, 2178, 2179, 2194, 2193
1712,1954, 1955, 1970, 1969, 2179, 2180, 2195, 2194
1713,1955, 1956, 1971, 1970, 2180, 2181, 2196, 2195
1714,1956, 1957, 1972, 1971, 2181, 2182, 2197, 2196
1715,1957, 1958, 1973, 1972, 2182, 2183, 2198, 2197
1716,1958, 1959, 1974, 1973, 2183, 2184, 2199, 2198
1717,1959, 1960, 1975, 1974, 2184, 2185, 2200, 2199
1718,1960, 1961, 1976, 1975, 2185, 2186, 2201, 2200
1719,1961, 1962, 1977, 1976, 2186, 2187, 2202, 2201
1720,1962, 1963, 1978, 1977, 2187, 2188, 2203, 2202
1721,1963, 1964, 1979, 1978, 2188, 2189, 2204, 2203
1722,1964, 1965, 1980, 1979, 2189, 2190, 2205, 2204
1723,1966, 1967, 1982, 1981, 2191, 2192, 2207, 2206
1724,1967, 1968, 1983, 1982, 2192, 2193, 2208, 2207
1725,1968, 1969, 1984, 1983, 2193, 2194, 2209, 2208
1726,1969, 1970, 1985, 1984, 2194, 2195, 2210, 2209
1727,1970, 1971, 1986, 1985, 2195, 2196, 2211, 2210
1728,1971, 1972, 1987, 1986, 2196, 2197, 2212, 2211
1729,1972, 1973, 1988, 1987, 2197, 2198, 2213, 2212
1730,1973, 1974, 1989, 1988, 2198, 2199, 2214, 2213
1731,1974, 1975, 1990, 1989, 2199, 2200, 2215, 2214
1732,1975, 1976, 1991, 1990, 2200, 2201, 2216, 2215
1733,1976, 1977, 1992, 1991, 2201, 2202, 2217, 2216
1734,1977, 1978, 1993, 1992, 2202, 2203, 2218, 2217
1735,1978, 1979, 1994, 1993, 2203, 2204, 2219, 2218
1736,1979, 1980, 1995, 1994, 2204, 2205, 2220, 2219
1737,1981, 1982, 1997, 1996, 2206, 2207, 2222, 2221
1738,1982, 1983, 1998, 1997, 2207, 2208, 2223, 2222
1739,1983, 1984, 1999, 1998, 2208, 2209, 2224, 2223
1740,1984, 1985, 2000, 1999, 2209, 2210, 2225, 2224
1741,1985, 1986, 2001, 2000, 2210, 2211, 2226, 2225
1742,1986, 1987, 2002, 2001, 2211, 2212, 2227, 2226
1743,1987, 1988, 2003, 2002, 2212, 2213, 2228, 2227
1744,1988, 1989, 2004, 2003, 2213, 2214, 2229, 2228
1745,1989, 1990, 2005, 2004, 2214, 2215, 2230, 2229
1746,1990, 1991, 2006, 2005, 2215, 2216, 2231, 2230
1747,1991, 1992, 2007, 2006, 2216, 2217, 2232, 2231
1748,1992, 1993, 2008, 2007, 2217, 2218, 2233, 2232
1749,1993, 1994, 2009, 2008, 2218, 2219, 2234, 2233
1750,1994, 1995, 2010, 2009, 2219, 2220, 2235, 2234
1751,1996, 1997, 2012, 2011, 2221, 2222, 2237, 2236
1752,1997, 1998, 2013, 2012, 2222, 2223, 2238, 2237
1753,1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238
1754,1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239
1755,2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240
1756,2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241
1757,2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242
1758,2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243
1759,2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244
1760,2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245
1761,2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246
1762,2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247
1763,2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248
1764,2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249
1765,2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266
1766,2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267
1767,2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268
1768,2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269
1769,2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270
1770,2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271
1771,2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272
1772,2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273
1773,2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274
1774,2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275
1775,2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276
1776,2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277
1777,2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278
1778,2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279
1779,2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281
1780,2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282
1781,2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283
1782,2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284
1783,2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285
1784,2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286
1785,2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287
1786,2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288
1787,2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289
1788,2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290
1789,2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291
1790,2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292
1791,2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293
1792,2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294
1793,2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296
1794,2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297
1795,2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298
1796,2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299
1797,2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300
1798,2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301
1799,2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302
1800,2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303
1801,2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304
1802,2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305
1803,2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306
1804,2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307
1805,2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308
1806,2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309
1807,2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311
1808,2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312
1809,2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313
1810,2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314
1811,2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315
1812,2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316
1813,2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317
1814,2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318
1815,2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319
1816,2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320
1817,2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321
1818,2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322
1819,2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323
1820,2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324
1821,2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326
1822,2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327
1823,2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328
1824,2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329
1825,2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330
1826,2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331
1827,2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332
1828,2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333
1829,2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334
1830,2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335
1831,2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336
1832,2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337
1833,2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338
1834,2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339
1835,2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341
1836,2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342
1837,2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343
1838,2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344
1839,2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345
1840,2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346
1841,2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347
1842,2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348
1843,2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349
1844,2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350
1845,2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351
1846,2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352
1847,2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353
1848,2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354
1849,2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356
1850,2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357
1851,2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358
1852,2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359
1853,2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360
1854,2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361
1855,2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362
1856,2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363
1857,2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364
1858,2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365
1859,2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366
1860,2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367
1861,2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368
1862,2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369
1863,2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371
1864,2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372
1865,2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373
1866,2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374
1867,2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375
1868,2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376
1869,2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377
1870,2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378
1871,2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379
1872,2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380
1873,2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381
1874,2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382
1875,2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383
1876,2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384
1877,2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386
1878,2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387
1879,2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388
1880,2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389
1881,2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390
1882,2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391
1883,2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392
1884,2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393
1885,2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394
1886,2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395
1887,2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396
1888,2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397
1889,2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398
1890,2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399
1891,2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401
1892,2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402
1893,2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403
1894,2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404
1895,2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405
1896,2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406
1897,2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407
1898,2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408
1899,2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409
1900,2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410
1901,2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411
1902,2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412
1903,2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413
1904,2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414
1905,2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416
1906,2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417
1907,2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418
1908,2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419
1909,2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420
1910,2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421
1911,2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422
1912,2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423
1913,2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424
1914,2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425
1915,2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426
1916,2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427
1917,2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428
1918,2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429
1919,2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431
1920,2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432
1921,2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433
1922,2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434
1923,2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435
1924,2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436
1925,2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437
1926,2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438
1927,2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439
1928,2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440
1929,2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441
1930,2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442
1931,2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443
1932,2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444
1933,2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446
1934,2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447
1935,2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448
1936,2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449
1937,2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450
1938,2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451
1939,2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452
1940,2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453
1941,2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454
1942,2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455
1943,2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456
1944,2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457
1945,2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458
1946,2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459
1947,2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461
1948,2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462
1949,2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463
1950,2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464
1951,2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465
1952,2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466
1953,2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467
1954,2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468
1955,2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469
1956,2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470
1957,2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471
1958,2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472
1959,2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473
1960,2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474
1961,2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491
1962,2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492
1963,2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493
1964,2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494
1965,2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495
1966,2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496
1967,2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497
1968,2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498
1969,2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499
1970,2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500
1971,2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501
1972,2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502
1973,2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503
1974,2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504
1975,2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506
1976,2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507
1977,2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508
1978,2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509
1979,2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510
1980,2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511
1981,2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512
1982,2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513
1983,2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514
1984,2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515
1985,2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516
1986,2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517
1987,2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518
1988,2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519
1989,2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521
1990,2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522
1991,2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523
1992,2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524
1993,2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525
1994,2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526
1995,2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527
1996,2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528
1997,2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529
1998,2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530
1999,2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531
2000,2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532
2001,2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533
2002,2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534
2003,2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536
2004,2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537
2005,2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538
2006,2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539
2007,2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540
2008,2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541
2009,2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542
2010,2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543
2011,2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544
2012,2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545
2013,2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546
2014,2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547
2015,2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548
2016,2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549
2017,2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551
2018,2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552
2019,2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553
2020,2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554
2021,2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555
2022,2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556
2023,2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557
2024,2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558
2025,2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559
2026,2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560
2027,2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561
2028,2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562
2029,2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563
2030,2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564
2031,2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566
2032,2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567
2033,2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568
2034,2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569
2035,2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570
2036,2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571
2037,2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572
2038,2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573
2039,2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574
2040,2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575
2041,2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576
2042,2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577
2043,2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578
2044,2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579
2045,2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581
2046,2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582
2047,2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583
2048,2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584
2049,2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585
2050,2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586
2051,2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587
2052,2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588
2053,2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589
2054,2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590
2055,2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591
2056,2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592
2057,2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593
2058,2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594
2059,2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596
2060,2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597
2061,2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598
2062,2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599
2063,2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600
2064,2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601
2065,2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602
2066,2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603
2067,2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604
2068,2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605
2069,2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606
2070,2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607
2071,2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608
2072,2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609
2073,2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611
2074,2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612
2075,2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613
2076,2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614
2077,2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615
2078,2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616
2079,2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617
2080,2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618
2081,2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619
2082,2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620
2083,2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621
2084,2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622
2085,2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623
2086,2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624
2087,2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626
2088,2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627
2089,2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628
2090,2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629
2091,2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630
2092,2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631
2093,2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632
2094,2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633
2095,2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634
2096,2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635
2097,2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636
2098,2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637
2099,2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638
2100,2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639
2101,2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641
2102,2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642
2103,2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643
2104,2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644
2105,2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645
2106,2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646
2107,2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647
2108,2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648
2109,2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649
2110,2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650
2111,2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651
2112,2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652
2113,2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653
2114,2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654
2115,2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656
2116,2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657
2117,2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658
2118,2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659
2119,2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660
2120,2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661
2121,2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662
2122,2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663
2123,2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664
2124,2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665
2125,2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666
2126,2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667
2127,2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668
2128,2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669
2129,2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671
2130,2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672
2131,2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673
2132,2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674
2133,2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675
2134,2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676
2135,2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677
2136,2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678
2137,2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679
2138,2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680
2139,2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681
2140,2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682
2141,2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683
2142,2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684
2143,2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686
2144,2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687
2145,2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688
2146,2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689
2147,2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690
2148,2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691
2149,2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692
2150,2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693
2151,2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694
2152,2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695
2153,2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696
2154,2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697
2155,2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698
2156,2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699
2157,2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716
2158,2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717
2159,2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718
2160,2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719
2161,2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720
2162,2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721
2163,2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722
2164,2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723
2165,2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724
2166,2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725
2167,2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726
2168,2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727
2169,2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728
2170,2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729
2171,2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731
2172,2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732
2173,2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733
2174,2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734
2175,2495, 2496, 2511, 2510, 2720, 2721, 2736, 2735
2176,2496, 2497, 2512, 2511, 2721, 2722, 2737, 2736
2177,2497, 2498, 2513, 2512, 2722, 2723, 2738, 2737
2178,2498, 2499, 2514, 2513, 2723, 2724, 2739, 2738
2179,2499, 2500, 2515, 2514, 2724, 2725, 2740, 2739
2180,2500, 2501, 2516, 2515, 2725, 2726, 2741, 2740
2181,2501, 2502, 2517, 2516, 2726, 2727, 2742, 2741
2182,2502, 2503, 2518, 2517, 2727, 2728, 2743, 2742
2183,2503, 2504, 2519, 2518, 2728, 2729, 2744, 2743
2184,2504, 2505, 2520, 2519, 2729, 2730, 2745, 2744
2185,2506, 2507, 2522, 2521, 2731, 2732, 2747, 2746
2186,2507, 2508, 2523, 2522, 2732, 2733, 2748, 2747
2187,2508, 2509, 2524, 2523, 2733, 2734, 2749, 2748
2188,2509, 2510, 2525, 2524, 2734, 2735, 2750, 2749
2189,2510, 2511, 2526, 2525, 2735, 2736, 2751, 2750
2190,2511, 2512, 2527, 2526, 2736, 2737, 2752, 2751
2191,2512, 2513, 2528, 2527, 2737, 2738, 2753, 2752
2192,2513, 2514, 2529, 2528, 2738, 2739, 2754, 2753
2193,2514, 2515, 2530, 2529, 2739, 2740, 2755, 2754
2194,2515, 2516, 2531, 2530, 2740, 2741, 2756, 2755
2195,2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756
2196,2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757
2197,2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758
2198,2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759
2199,2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761
2200,2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762
2201,2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763
2202,2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764
2203,2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765
2204,2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766
2205,2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767
2206,2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768
2207,2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769
2208,2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770
2209,2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771
2210,2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772
2211,2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773
2212,2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774
2213,2536, 2537, 2552, 2551, 2761, 2762, 2777, 2776
2214,2537, 2538, 2553, 2552, 2762, 2763, 2778, 2777
2215,2538, 2539, 2554, 2553, 2763, 2764, 2779, 2778
2216,2539, 2540, 2555, 2554, 2764, 2765, 2780, 2779
2217,2540, 2541, 2556, 2555, 2765, 2766, 2781, 2780
2218,2541, 2542, 2557, 2556, 2766, 2767, 2782, 2781
2219,2542, 2543, 2558, 2557, 2767, 2768, 2783, 2782
2220,2543, 2544, 2559, 2558, 2768, 2769, 2784, 2783
2221,2544, 2545, 2560, 2559, 2769, 2770, 2785, 2784
2222,2545, 2546, 2561, 2560, 2770, 2771, 2786, 2785
2223,2546, 2547, 2562, 2561, 2771, 2772, 2787, 2786
2224,2547, 2548, 2563, 2562, 2772, 2773, 2788, 2787
2225,2548, 2549, 2564, 2563, 2773, 2774, 2789, 2788
2226,2549, 2550, 2565, 2564, 2774, 2775, 2790, 2789
2227,2551, 2552, 2567, 2566, 2776, 2777, 2792, 2791
2228,2552, 2553, 2568, 2567, 2777, 2778, 2793, 2792
2229,2553, 2554, 2569, 2568, 2778, 2779, 2794, 2793
2230,2554, 2555, 2570, 2569, 2779, 2780, 2795, 2794
2231,2555, 2556, 2571, 2570, 2780, 2781, 2796, 2795
2232,2556, 2557, 2572, 2571, 2781, 2782, 2797, 2796
2233,2557, 2558, 2573, 2572, 2782, 2783, 2798, 2797
2234,2558, 2559, 2574, 2573, 2783, 2784, 2799, 2798
2235,2559, 2560, 2575, 2574, 2784, 2785, 2800, 2799
2236,2560, 2561, 2576, 2575, 2785, 2786, 2801, 2800
2237,2561, 2562, 2577, 2576, 2786, 2787, 2802, 2801
2238,2562, 2563, 2578, 2577, 2787, 2788, 2803, 2802
2239,2563, 2564, 2579, 2578, 2788, 2789, 2804, 2803
2240,2564, 2565, 2580, 2579, 2789, 2790, 2805, 2804
2241,2566, 2567, 2582, 2581, 2791, 2792, 2807, 2806
2242,2567, 2568, 2583, 2582, 2792, 2793, 2808, 2807
2243,2568, 2569, 2584, 2583, 2793, 2794, 2809, 2808
2244,2569, 2570, 2585, 2584, 2794, 2795, 2810, 2809
2245,2570, 2571, 2586, 2585, 2795, 2796, 2811, 2810
2246,2571, 2572, 2587, 2586, 2796, 2797, 2812, 2811
2247,2572, 2573, 2588, 2587, 2797, 2798, 2813, 2812
2248,2573, 2574, 2589, 2588, 2798, 2799, 2814, 2813
2249,2574, 2575, 2590, 2589, 2799, 2800, 2815, 2814
2250,2575, 2576, 2591, 2590, 2800, 2801, 2816, 2815
2251,2576, 2577, 2592, 2591, 2801, 2802, 2817, 2816
2252,2577, 2578, 2593, 2592, 2802, 2803, 2818, 2817
2253,2578, 2579, 2594, 2593, 2803, 2804, 2819, 2818
2254,2579, 2580, 2595, 2594, 2804, 2805, 2820, 2819
2255,2581, 2582, 2597, 2596, 2806, 2807, 2822, 2821
2256,2582, 2583, 2598, 2597, 2807, 2808, 2823, 2822
2257,2583, 2584, 2599, 2598, 2808, 2809, 2824, 2823
2258,2584, 2585, 2600, 2599, 2809, 2810, 2825, 2824
2259,2585, 2586, 2601, 2600, 2810, 2811, 2826, 2825
2260,2586, 2587, 2602, 2601, 2811, 2812, 2827, 2826
2261,2587, 2588, 2603, 2602, 2812, 2813, 2828, 2827
2262,2588, 2589, 2604, 2603, 2813, 2814, 2829, 2828
2263,2589, 2590, 2605, 2604, 2814, 2815, 2830, 2829
2264,2590, 2591, 2606, 2605, 2815, 2816, 2831, 2830
2265,2591, 2592, 2607, 2606, 2816, 2817, 2832, 2831
2266,2592, 2593, 2608, 2607, 2817, 2818, 2833, 2832
2267,2593, 2594, 2609, 2608, 2818, 2819, 2834, 2833
2268,2594, 2595, 2610, 2609, 2819, 2820, 2835, 2834
2269,2596, 2597, 2612, 2611, 2821, 2822, 2837, 2836
2270,2597, 2598, 2613, 2612, 2822, 2823, 2838, 2837
2271,2598, 2599, 2614, 2613, 2823, 2824, 2839, 2838
2272,2599, 2600, 2615, 2614, 2824, 2825, 2840, 2839
2273,2600, 2601, 2616, 2615, 2825, 2826, 2841, 2840
2274,2601, 2602, 2617, 2616, 2826, 2827, 2842, 2841
2275,2602, 2603, 2618, 2617, 2827, 2828, 2843, 2842
2276,2603, 2604, 2619, 2618, 2828, 2829, 2844, 2843
2277,2604, 2605, 2620, 2619, 2829, 2830, 2845, 2844
2278,2605, 2606, 2621, 2620, 2830, 2831, 2846, 2845
2279,2606, 2607, 2622, 2621, 2831, 2832, 2847, 2846
2280,2607, 2608, 2623, 2622, 2832, 2833, 2848, 2847
2281,2608, 2609, 2624, 2623, 2833, 2834, 2849, 2848
2282,2609, 2610, 2625, 2624, 2834, 2835, 2850, 2849
2283,2611, 2612, 2627, 2626, 2836, 2837, 2852, 2851
2284,2612, 2613, 2628, 2627, 2837, 2838, 2853, 2852
2285,2613, 2614, 2629, 2628, 2838, 2839, 2854, 2853
2286,2614, 2615, 2630, 2629, 2839, 2840, 2855, 2854
2287,2615, 2616, 2631, 2630, 2840, 2841, 2856, 2855
2288,2616, 2617, 2632, 2631, 2841, 2842, 2857, 2856
2289,2617, 2618, 2633, 2632, 2842, 2843, 2858, 2857
2290,2618, 2619, 2634, 2633, 2843, 2844, 2859, 2858
2291,2619, 2620, 2635, 2634, 2844, 2845, 2860, 2859
2292,2620, 2621, 2636, 2635, 2845, 2846, 2861, 2860
2293,2621, 2622, 2637, 2636, 2846, 2847, 2862, 2861
2294,2622, 2623, 2638, 2637, 2847, 2848, 2863, 2862
2295,2623, 2624, 2639, 2638, 2848, 2849, 2864, 2863
2296,2624, 2625, 2640, 2639, 2849, 2850, 2865, 2864
2297,2626, 2627, 2642, 2641, 2851, 2852, 2867, 2866
2298,2627, 2628, 2643, 2642, 2852, 2853, 2868, 2867
2299,2628, 2629, 2644, 2643, 2853, 2854, 2869, 2868
2300,2629, 2630, 2645, 2644, 2854, 2855, 2870, 2869
2301,2630, 2631, 2646, 2645, 2855, 2856, 2871, 2870
2302,2631, 2632, 2647, 2646, 2856, 2857, 2872, 2871
2303,2632, 2633, 2648, 2647, 2857, 2858, 2873, 2872
2304,2633, 2634, 2649, 2648, 2858, 2859, 2874, 2873
2305,2634, 2635, 2650, 2649, 2859, 2860, 2875, 2874
2306,2635, 2636, 2651, 2650, 2860, 2861, 2876, 2875
2307,2636, 2637, 2652, 2651, 2861, 2862, 2877, 2876
2308,2637, 2638, 2653, 2652, 2862, 2863, 2878, 2877
2309,2638, 2639, 2654, 2653, 2863, 2864, 2879, 2878
2310,2639, 2640, 2655, 2654, 2864, 2865, 2880, 2879
2311,2641, 2642, 2657, 2656, 2866, 2867, 2882, 2881
2312,2642, 2643, 2658, 2657, 2867, 2868, 2883, 2882
2313,2643, 2644, 2659, 2658, 2868, 2869, 2884, 2883
2314,2644, 2645, 2660, 2659, 2869, 2870, 2885, 2884
2315,2645, 2646, 2661, 2660, 2870, 2871, 2886, 2885
2316,2646, 2647, 2662, 2661, 2871, 2872, 2887, 2886
2317,2647, 2648, 2663, 2662, 2872, 2873, 2888, 2887
2318,2648, 2649, 2664, 2663, 2873, 2874, 2889, 2888
2319,2649, 2650, 2665, 2664, 2874, 2875, 2890, 2889
2320,2650, 2651, 2666, 2665, 2875, 2876, 2891, 2890
2321,2651, 2652, 2667, 2666, 2876, 2877, 2892, 2891
2322,2652, 2653, 2668, 2667, 2877, 2878, 2893, 2892
2323,2653, 2654, 2669, 2668, 2878, 2879, 2894, 2893
2324,2654, 2655, 2670, 2669, 2879, 2880, 2895, 2894
2325,2656, 2657, 2672, 2671, 2881, 2882, 2897, 2896
2326,2657, 2658, 2673, 2672, 2882, 2883, 2898, 2897
2327,2658, 2659, 2674, 2673, 2883, 2884, 2899, 2898
2328,2659, 2660, 2675, 2674, 2884, 2885, 2900, 2899
2329,2660, 2661, 2676, 2675, 2885, 2886, 2901, 2900
2330,2661, 2662, 2677, 2676, 2886, 2887, 2902, 2901
2331,2662, 2663, 2678, 2677, 2887, 2888, 2903, 2902
2332,2663, 2664, 2679, 2678, 2888, 2889, 2904, 2903
2333,2664, 2665, 2680, 2679, 2889, 2890, 2905, 2904
2334,2665, 2666, 2681, 2680, 2890, 2891, 2906, 2905
2335,2666, 2667, 2682, 2681, 2891, 2892, 2907, 2906
2336,2667, 2668, 2683, 2682, 2892, 2893, 2908, 2907
2337,2668, 2669, 2684, 2683, 2893, 2894, 2909, 2908
2338,2669, 2670, 2685, 2684, 2894, 2895, 2910, 2909
2339,2671, 2672, 2687, 2686, 2896, 2897, 2912, 2911
2340,2672, 2673, 2688, 2687, 2897, 2898, 2913, 2912
2341,2673, 2674, 2689, 2688, 2898, 2899, 2914, 2913
2342,2674, 2675, 2690, 2689, 2899, 2900, 2915, 2914
2343,2675, 2676, 2691, 2690, 2900, 2901, 2916, 2915
2344,2676, 2677, 2692, 2691, 2901, 2902, 2917, 2916
2345,2677, 2678, 2693, 2692, 2902, 2903, 2918, 2917
2346,2678, 2679, 2694, 2693, 2903, 2904, 2919, 2918
2347,2679, 2680, 2695, 2694, 2904, 2905, 2920, 2919
2348,2680, 2681, 2696, 2695, 2905, 2906, 2921, 2920
2349,2681, 2682, 2697, 2696, 2906, 2907, 2922, 2921
2350,2682, 2683, 2698, 2697, 2907, 2908, 2923, 2922
2351,2683, 2684, 2699, 2698, 2908, 2909, 2924, 2923
2352,2684, 2685, 2700, 2699, 2909, 2910, 2925, 2924
2353,2701, 2702, 2717, 2716, 2926, 2927, 2942, 2941
2354,2702, 2703, 2718, 2717, 2927, 2928, 2943, 2942
2355,2703, 2704, 2719, 2718, 2928, 2929, 2944, 2943
2356,2704, 2705, 2720, 2719, 2929, 2930, 2945, 2944
2357,2705, 2706, 2721, 2720, 2930, 2931, 2946, 2945
2358,2706, 2707, 2722, 2721, 2931, 2932, 2947, 2946
2359,2707, 2708, 2723, 2722, 2932, 2933, 2948, 2947
2360,2708, 2709, 2724, 2723, 2933, 2934, 2949, 2948
2361,2709, 2710, 2725, 2724, 2934, 2935, 2950, 2949
2362,2710, 2711, 2726, 2725, 2935, 2936, 2951, 2950
2363,2711, 2712, 2727, 2726, 2936, 2937, 2952, 2951
2364,2712, 2713, 2728, 2727, 2937, 2938, 2953, 2952
2365,2713, 2714, 2729, 2728, 2938, 2939, 2954, 2953
2366,2714, 2715, 2730, 2729, 2939, 2940, 2955, 2954
2367,2716, 2717, 2732, 2731, 2941, 2942, 2957, 2956
2368,2717, 2718, 2733, 2732, 2942, 2943, 2958, 2957
2369,2718, 2719, 2734, 2733, 2943, 2944, 2959, 2958
2370,2719, 2720, 2735, 2734, 2944, 2945, 2960, 2959
2371,2720, 2721, 2736, 2735, 2945, 2946, 2961, 2960
2372,2721, 2722, 2737, 2736, 2946, 2947, 2962, 2961
2373,2722, 2723, 2738, 2737, 2947, 2948, 2963, 2962
2374,2723, 2724, 2739, 2738, 2948, 2949, 2964, 2963
2375,2724, 2725, 2740, 2739, 2949, 2950, 2965, 2964
2376,2725, 2726, 2741, 2740, 2950, 2951, 2966, 2965
2377,2726, 2727, 2742, 2741, 2951, 2952, 2967, 2966
2378,2727, 2728, 2743, 2742, 2952, 2953, 2968, 2967
2379,2728, 2729, 2744, 2743, 2953, 2954, 2969, 2968
2380,2729, 2730, 2745, 2744, 2954, 2955, 2970, 2969
2381,2731, 2732, 2747, 2746, 2956, 2957, 2972, 2971
2382,2732, 2733, 2748, 2747, 2957, 2958, 2973, 2972
2383,2733, 2734, 2749, 2748, 2958, 2959, 2974, 2973
2384,2734, 2735, 2750, 2749, 2959, 2960, 2975, 2974
2385,2735, 2736, 2751, 2750, 2960, 2961, 2976, 2975
2386,2736, 2737, 2752, 2751, 2961, 2962, 2977, 2976
2387,2737, 2738, 2753, 2752, 2962, 2963, 2978, 2977
2388,2738, 2739, 2754, 2753, 2963, 2964, 2979, 2978
2389,2739, 2740, 2755, 2754, 2964, 2965, 2980, 2979
2390,2740, 2741, 2756, 2755, 2965, 2966, 2981, 2980
2391,2741, 2742, 2757, 2756, 2966, 2967, 2982, 2981
2392,2742, 2743, 2758, 2757, 2967, 2968, 2983, 2982
2393,2743, 2744, 2759, 2758, 2968, 2969, 2984, 2983
2394,2744, 2745, 2760, 2759, 2969, 2970, 2985, 2984
2395,2746, 2747, 2762, 2761, 2971, 2972, 2987, 2986
2396,2747, 2748, 2763, 2762, 2972, 2973, 2988, 2987
2397,2748, 2749, 2764, 2763, 2973, 2974, 2989, 2988
2398,2749, 2750, 2765, 2764, 2974, 2975, 2990, 2989
2399,2750, 2751, 2766, 2765, 2975, 2976, 2991, 2990
2400,2751, 2752, 2767, 2766, 2976, 2977, 2992, 2991
2401,2752, 2753, 2768, 2767, 2977, 2978, 2993, 2992
2402,2753, 2754, 2769, 2768, 2978, 2979, 2994, 2993
2403,2754, 2755, 2770, 2769, 2979, 2980, 2995, 2994
2404,2755, 2756, 2771, 2770, 2980, 2981, 2996, 2995
2405,2756, 2757, 2772, 2771, 2981, 2982, 2997, 2996
2406,2757, 2758, 2773, 2772, 2982, 2983, 2998, 2997
2407,2758, 2759, 2774, 2773, 2983, 2984, 2999, 2998
2408,2759, 2760, 2775, 2774, 2984, 2985, 3000, 2999
2409,2761, 2762, 2777, 2776, 2986, 2987, 3002, 3001
2410,2762, 2763, 2778, 2777, 2987, 2988, 3003, 3002
2411,2763, 2764, 2779, 2778, 2988, 2989, 3004, 3003
2412,2764, 2765, 2780, 2779, 2989, 2990, 3005, 3004
2413,2765, 2766, 2781, 2780, 2990, 2991, 3006, 3005
2414,2766, 2767, 2782, 2781, 2991, 2992, 3007, 3006
2415,2767, 2768, 2783, 2782, 2992, 2993, 3008, 3007
2416,2768, 2769, 2784, 2783, 2993, 2994, 3009, 3008
2417,2769, 2770, 2785, 2784, 2994, 2995, 3010, 3009
2418,2770, 2771, 2786, 2785, 2995, 2996, 3011, 3010
2419,2771, 2772, 2787, 2786, 2996, 2997, 3012, 3011
2420,2772, 2773, 2788, 2787, 2997, 2998, 3013, 3012
2421,2773, 2774, 2789, 2788, 2998, 2999, 3014, 3013
2422,2774, 2775, 2790, 2789, 2999, 3000, 3015, 3014
2423,2776, 2777, 2792, 2791, 3001, 3002, 3017, 3016
2424,2777, 2778, 2793, 2792, 3002, 3003, 3018, 3017
2425,2778, 2779, 2794, 2793, 3003, 3004, 3019, 3018
2426,2779, 2780, 2795, 2794, 3004, 3005, 3020, 3019
2427,2780, 2781, 2796, 2795, 3005, 3006, 3021, 3020
2428,2781, 2782, 2797, 2796, 3006, 3007, 3022, 3021
2429,2782, 2783, 2798, 2797, 3007, 3008, 3023, 3022
2430,2783, 2784, 2799, 2798, 3008, 3009, 3024, 3023
2431,2784, 2785, 2800, 2799, 3009, 3010, 3025, 3024
2432,2785, 2786, 2801, 2800, 3010, 3011, 3026, 3025
2433,2786, 2787, 2802, 2801, 3011, 3012, 3027, 3026
2434,2787, 2788, 2803, 2802, 3012, 3013, 3028, 3027
2435,2788, 2789, 2804, 2803, 3013, 3014, 3029, 3028
2436,2789, 2790, 2805, 2804, 3014, 3015, 3030, 3029
2437,2791, 2792, 2807, 2806, 3016, 3017, 3032, 3031
2438,2792, 2793, 2808, 2807, 3017, 3018, 3033, 3032
2439,2793, 2794, 2809, 2808, 3018, 3019, 3034, 3033
2440,2794, 2795, 2810, 2809, 3019, 3020, 3035, 3034
2441,2795, 2796, 2811, 2810, 3020, 3021, 3036, 3035
2442,2796, 2797, 2812, 2811, 3021, 3022, 3037, 3036
2443,2797, 2798, 2813, 2812, 3022, 3023, 3038, 3037
2444,2798, 2799, 2814, 2813, 3023, 3024, 3039, 3038
2445,2799, 2800, 2815, 2814, 3024, 3025, 3040, 3039
2446,2800, 2801, 2816, 2815, 3025, 3026, 3041, 3040
2447,2801, 2802, 2817, 2816, 3026, 3027, 3042, 3041
2448,2802, 2803, 2818, 2817, 3027, 3028, 3043, 3042
2449,2803, 2804, 2819, 2818, 3028, 3029, 3044, 3043
2450,2804, 2805, 2820, 2819, 3029, 3030, 3045, 3044
2451,2806, 2807, 2822, 2821, 3031, 3032, 3047, 3046
2452,2807, 2808, 2823, 2822, 3032, 3033, 3048, 3047
2453,2808, 2809, 2824, 2823, 3033, 3034, 3049, 3048
2454,2809, 2810, 2825, 2824, 3034, 3035, 3050, 3049
2455,2810, 2811, 2826, 2825, 3035, 3036, 3051, 3050
2456,2811, 2812, 2827, 2826, 3036, 3037, 3052, 3051
2457,2812, 2813, 2828, 2827, 3037, 3038, 3053, 3052
2458,2813, 2814, 2829, 2828, 3038, 3039, 3054, 3053
2459,2814, 2815, 2830, 2829, 3039, 3040, 3055, 3054
2460,2815, 2816, 2831, 2830, 3040, 3041, 3056, 3055
2461,2816, 2817, 2832, 2831, 3041, 3042, 3057, 3056
2462,2817, 2818, 2833, 2832, 3042, 3043, 3058, 3057
2463,2818, 2819, 2834, 2833, 3043, 3044, 3059, 3058
2464,2819, 2820, 2835, 2834, 3044, 3045, 3060, 3059
2465,2821, 2822, 2837, 2836, 3046, 3047, 3062, 3061
2466,2822, 2823, 2838, 2837, 3047, 3048, 3063, 3062
2467,2823, 2824, 2839, 2838, 3048, 3049, 3064, 3063
2468,2824, 2825, 2840, 2839, 3049, 3050, 3065, 3064
2469,2825, 2826, 2841, 2840, 3050, 3051, 3066, 3065
2470,2826, 2827, 2842, 2841, 3051, 3052, 3067, 3066
2471,2827, 2828, 2843, 2842, 3052, 3053, 3068, 3067
2472,2828, 2829, 2844, 2843, 3053, 3054, 3069, 3068
2473,2829, 2830, 2845, 2844, 3054, 3055, 3070, 3069
2474,2830, 2831, 2846, 2845, 3055, 3056, 3071, 3070
2475,2831, 2832, 2847, 2846, 3056, 3057, 3072, 3071
2476,2832, 2833, 2848, 2847, 3057, 3058, 3073, 3072
2477,2833, 2834, 2849, 2848, 3058, 3059, 3074, 3073
2478,2834, 2835, 2850, 2849, 3059, 3060, 3075, 3074
2479,2836, 2837, 2852, 2851, 3061, 3062, 3077, 3076
2480,2837, 2838, 2853, 2852, 3062, 3063, 3078, 3077
2481,2838, 2839, 2854, 2853, 3063, 3064, 3079, 3078
2482,2839, 2840, 2855, 2854, 3064, 3065, 3080, 3079
2483,2840, 2841, 2856, 2855, 3065, 3066, 3081, 3080
2484,2841, 2842, 2857, 2856, 3066, 3067, 3082, 3081
2485,2842, 2843, 2858, 2857, 3067, 3068, 3083, 3082
2486,2843, 2844, 2859, 2858, 3068, 3069, 3084, 3083
2487,2844, 2845, 2860, 2859, 3069, 3070, 3085, 3084
2488,2845, 2846, 2861, 2860, 3070, 3071, 3086, 3085
2489,2846, 2847, 2862, 2861, 3071, 3072, 3087, 3086
2490,2847, 2848, 2863, 2862, 3072, 3073, 3088, 3087
2491,2848, 2849, 2864, 2863, 3073, 3074, 3089, 3088
2492,2849, 2850, 2865, 2864, 3074, 3075, 3090, 3089
2493,2851, 2852, 2867, 2866, 3076, 3077, 3092, 3091
2494,2852, 2853, 2868, 2867, 3077, 3078, 3093, 3092
2495,2853, 2854, 2869, 2868, 3078, 3079, 3094, 3093
2496,2854, 2855, 2870, 2869, 3079, 3080, 3095, 3094
2497,2855, 2856, 2871, 2870, 3080, 3081, 3096, 3095
2498,2856, 2857, 2872, 2871, 3081, 3082, 3097, 3096
2499,2857, 2858, 2873, 2872, 3082, 3083, 3098, 3097
2500,2858, 2859, 2874, 2873, 3083, 3084, 3099, 3098
2501,2859, 2860, 2875, 2874, 3084, 3085, 3100, 3099
2502,2860, 2861, 2876, 2875, 3085, 3086, 3101, 3100
2503,2861, 2862, 2877, 2876, 3086, 3087, 3102, 3101
2504,2862, 2863, 2878, 2877, 3087, 3088, 3103, 3102
2505,2863, 2864, 2879, 2878, 3088, 3089, 3104, 3103
2506,2864, 2865, 2880, 2879, 3089, 3090, 3105, 3104
2507,2866, 2867, 2882, 2881, 3091, 3092, 3107, 3106
2508,2867, 2868, 2883, 2882, 3092, 3093, 3108, 3107
2509,2868, 2869, 2884, 2883, 3093, 3094, 3109, 3108
2510,2869, 2870, 2885, 2884, 3094, 3095, 3110, 3109
2511,2870, 2871, 2886, 2885, 3095, 3096, 3111, 3110
2512,2871, 2872, 2887, 2886, 3096, 3097, 3112, 3111
2513,2872, 2873, 2888, 2887, 3097, 3098, 3113, 3112
2514,2873, 2874, 2889, 2888, 3098, 3099, 3114, 3113
2515,2874, 2875, 2890, 2889, 3099, 3100, 3115, 3114
2516,2875, 2876, 2891, 2890, 3100, 3101, 3116, 3115
2517,2876, 2877, 2892, 2891, 3101, 3102, 3117, 3116
2518,2877, 2878, 2893, 2892, 3102, 3103, 3118, 3117
2519,2878, 2879, 2894, 2893, 3103, 3104, 3119, 3118
2520,2879, 2880, 2895, 2894, 3104, 3105, 3120, 3119
2521,2881, 2882, 2897, 2896, 3106, 3107, 3122, 3121
2522,2882, 2883, 2898, 2897, 3107, 3108, 3123, 3122
2523,2883, 2884, 2899, 2898, 3108, 3109, 3124, 3123
2524,2884, 2885, 2900, 2899, 3109, 3110, 3125, 3124
2525,2885, 2886, 2901, 2900, 3110, 3111, 3126, 3125
2526,2886, 2887, 2902, 2901, 3111, 3112, 3127, 3126
2527,2887, 2888, 2903, 2902, 3112, 3113, 3128, 3127
2528,2888, 2889, 2904, 2903, 3113, 3114, 3129, 3128
2529,2889, 2890, 2905, 2904, 3114, 3115, 3130, 3129
2530,2890, 2891, 2906, 2905, 3115, 3116, 3131, 3130
2531,2891, 2892, 2907, 2906, 3116, 3117, 3132, 3131
2532,2892, 2893, 2908, 2907, 3117, 3118, 3133, 3132
2533,2893, 2894, 2909, 2908, 3118, 3119, 3134, 3133
2534,2894, 2895, 2910, 2909, 3119, 3120, 3135, 3134
2535,2896, 2897, 2912, 2911, 3121, 3122, 3137, 3136
2536,2897, 2898, 2913, 2912, 3122, 3123, 3138, 3137
2537,2898, 2899, 2914, 2913, 3123, 3124, 3139, 3138
2538,2899, 2900, 2915, 2914, 3124, 3125, 3140, 3139
2539,2900, 2901, 2916, 2915, 3125, 3126, 3141, 3140
2540,2901, 2902, 2917, 2916, 3126, 3127, 3142, 3141
2541,2902, 2903, 2918, 2917, 3127, 3128, 3143, 3142
2542,2903, 2904, 2919, 2918, 3128, 3129, 3144, 3143
2543,2904, 2905, 2920, 2919, 3129, 3130, 3145, 3144
2544,2905, 2906, 2921, 2920, 3130, 3131, 3146, 3145
2545,2906, 2907, 2922, 2921, 3131, 3132, 3147, 3146
2546,2907, 2908, 2923, 2922, 3132, 3133, 3148, 3147
2547,2908, 2909, 2924, 2923, 3133, 3134, 3149, 3148
2548,2909, 2910, 2925, 2924, 3134, 3135, 3150, 3149
2549,2926, 2927, 2942, 2941, 3151, 3152, 3167, 3166
2550,2927, 2928, 2943, 2942, 3152, 3153, 3168, 3167
2551,2928, 2929, 2944, 2943, 3153, 3154, 3169, 3168
2552,2929, 2930, 2945, 2944, 3154, 3155, 3170, 3169
2553,2930, 2931, 2946, 2945, 3155, 3156, 3171, 3170
2554,2931, 2932, 2947, 2946, 3156, 3157, 3172, 3171
2555,2932, 2933, 2948, 2947, 3157, 3158, 3173, 3172
2556,2933, 2934, 2949, 2948, 3158, 3159, 3174, 3173
2557,2934, 2935, 2950, 2949, 3159, 3160, 3175, 3174
2558,2935, 2936, 2951, 2950, 3160, 3161, 3176, 3175
2559,2936, 2937, 2952, 2951, 3161, 3162, 3177, 3176
2560,2937, 2938, 2953, 2952, 3162, 3163, 3178, 3177
2561,2938, 2939, 2954, 2953, 3163, 3164, 3179, 3178
2562,2939, 2940, 2955, 2954, 3164, 3165, 3180, 3179
2563,2941, 2942, 2957, 2956, 3166, 3167, 3182, 3181
2564,2942, 2943, 2958, 2957, 3167, 3168, 3183, 3182
2565,2943, 2944, 2959, 2958, 3168, 3169, 3184, 3183
2566,2944, 2945, 2960, 2959, 3169, 3170, 3185, 3184
2567,2945, 2946, 2961, 2960, 3170, 3171, 3186, 3185
2568,2946, 2947, 2962, 2961, 3171, 3172, 3187, 3186
2569,2947, 2948, 2963, 2962, 3172, 3173, 3188, 3187
2570,2948, 2949, 2964, 2963, 3173, 3174, 3189, 3188
2571,2949, 2950, 2965, 2964, 3174, 3175, 3190, 3189
2572,2950, 2951, 2966, 2965, 3175, 3176, 3191, 3190
2573,2951, 2952, 2967, 2966, 3176, 3177, 3192, 3191
2574,2952, 2953, 2968, 2967, 3177, 3178, 3193, 3192
2575,2953, 2954, 2969, 2968, 3178, 3179, 3194, 3193
2576,2954, 2955, 2970, 2969, 3179, 3180, 3195, 3194
2577,2956, 2957, 2972, 2971, 3181, 3182, 3197, 3196
2578,2957, 2958, 2973, 2972, 3182, 3183, 3198, 3197
2579,2958, 2959, 2974, 2973, 3183, 3184, 3199, 3198
2580,2959, 2960, 2975, 2974, 3184, 3185, 3200, 3199
2581,2960, 2961, 2976, 2975, 3185, 3186, 3201, 3200
2582,2961, 2962, 2977, 2976, 3186, 3187, 3202, 3201
2583,2962, 2963, 2978, 2977, 3187, 3188, 3203, 3202
2584,2963, 2964, 2979, 2978, 3188, 3189, 3204, 3203
2585,2964, 2965, 2980, 2979, 3189, 3190, 3205, 3204
2586,2965, 2966, 2981, 2980, 3190, 3191, 3206, 3205
2587,2966, 2967, 2982, 2981, 3191, 3192, 3207, 3206
2588,2967, 2968, 2983, 2982, 3192, 3193, 3208, 3207
2589,2968, 2969, 2984, 2983, 3193, 3194, 3209, 3208
2590,2969, 2970, 2985, 2984, 3194, 3195, 3210, 3209
2591,2971, 2972, 2987, 2986, 3196, 3197, 3212, 3211
2592,2972, 2973, 2988, 2987, 3197, 3198, 3213, 3212
2593,2973, 2974, 2989, 2988, 3198, 3199, 3214, 3213
2594,2974, 2975, 2990, 2989, 3199, 3200, 3215, 3214
2595,2975, 2976, 2991, 2990, 3200, 3201, 3216, 3215
2596,2976, 2977, 2992, 2991, 3201, 3202, 3217, 3216
2597,2977, 2978, 2993, 2992, 3202, 3203, 3218, 3217
2598,2978, 2979, 2994, 2993, 3203, 3204, 3219, 3218
2599,2979, 2980, 2995, 2994, 3204, 3205, 3220, 3219
2600,2980, 2981, 2996, 2995, 3205, 3206, 3221, 3220
2601,2981, 2982, 2997, 2996, 3206, 3207, 3222, 3221
2602,2982, 2983, 2998, 2997, 3207, 3208, 3223, 3222
2603,2983, 2984, 2999, 2998, 3208, 3209, 3224, 3223
2604,2984, 2985, 3000, 2999, 3209, 3210, 3225, 3224
2605,2986, 2987, 3002, 3001, 3211, 3212, 3227, 3226
2606,2987, 2988, 3003, 3002, 3212, 3213, 3228, 3227
2607,2988, 2989, 3004, 3003, 3213, 3214, 3229, 3228
2608,2989, 2990, 3005, 3004, 3214, 3215, 3230, 3229
2609,2990, 2991, 3006, 3005, 3215, 3216, 3231, 3230
2610,2991, 2992, 3007, 3006, 3216, 3217, 3232, 3231
2611,2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232
2612,2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233
2613,2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234
2614,2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235
2615,2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236
2616,2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237
2617,2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238
2618,2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239
2619,3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241
2620,3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242
2621,3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243
2622,3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244
2623,3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245
2624,3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246
2625,3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247
2626,3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248
2627,3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249
2628,3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250
2629,3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251
2630,3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252
2631,3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253
2632,3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254
2633,3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256
2634,3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257
2635,3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258
2636,3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259
2637,3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260
2638,3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261
2639,3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262
2640,3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263
2641,3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264
2642,3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265
2643,3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266
2644,3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267
2645,3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268
2646,3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269
2647,3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271
2648,3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272
2649,3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273
2650,3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274
2651,3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275
2652,3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276
2653,3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277
2654,3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278
2655,3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279
2656,3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280
2657,3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281
2658,3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282
2659,3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283
2660,3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284
2661,3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286
2662,3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287
2663,3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288
2664,3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289
2665,3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290
2666,3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291
2667,3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292
2668,3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293
2669,3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294
2670,3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295
2671,3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296
2672,3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297
2673,3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298
2674,3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299
2675,3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301
2676,3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302
2677,3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303
2678,3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304
2679,3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305
2680,3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306
2681,3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307
2682,3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308
2683,3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309
2684,3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310
2685,3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311
2686,3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312
2687,3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313
2688,3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314
2689,3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316
2690,3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317
2691,3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318
2692,3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319
2693,3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320
2694,3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321
2695,3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322
2696,3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323
2697,3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324
2698,3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325
2699,3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326
2700,3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327
2701,3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328
2702,3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329
2703,3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331
2704,3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332
2705,3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333
2706,3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334
2707,3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335
2708,3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336
2709,3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337
2710,3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338
2711,3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339
2712,3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340
2713,3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341
2714,3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342
2715,3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343
2716,3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344
2717,3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346
2718,3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347
2719,3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348
2720,3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349
2721,3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350
2722,3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351
2723,3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352
2724,3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353
2725,3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354
2726,3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355
2727,3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356
2728,3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357
2729,3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358
2730,3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359
2731,3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361
2732,3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362
2733,3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363
2734,3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364
2735,3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365
2736,3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366
2737,3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367
2738,3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368
2739,3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369
2740,3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370
2741,3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371
2742,3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372
2743,3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373
2744,3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374
*Elset, elset=poly1
85, 86, 87, 88, 89, 99, 100, 101, 102, 103, 104, 105, 106, 113, 114,
115, 116, 117, 118, 119, 120, 127, 128, 129, 130, 131, 132, 133, 134,
135, 141, 142, 143, 144, 145, 146, 147, 148, 149, 155, 156, 157, 158,
159, 160, 161, 162, 163, 169, 170, 171, 172, 173, 174, 175, 176, 177,
183, 184, 185, 186, 187, 188, 189, 190, 281, 282, 283, 284, 285, 286,
295, 296, 297, 298, 299, 300, 301, 302, 309, 310, 311, 312, 313, 314,
315, 316, 323, 324, 325, 326, 327, 328, 329, 330, 331, 337, 338, 339,
340, 341, 342, 343, 344, 345, 351, 352, 353, 354, 355, 356, 357, 358,
359, 365, 366, 367, 368, 369, 370, 371, 372, 373, 379, 380, 381, 382,
383, 384, 385, 386, 387, 477, 478, 479, 480, 481, 482, 483, 491, 492,
493, 494, 495, 496, 497, 498, 505, 506, 507, 508, 509, 510, 511, 512,
519, 520, 521, 522, 523, 524, 525, 526, 527, 533, 534, 535, 536, 537,
538, 539, 540, 541, 547, 548, 549, 550, 551, 552, 553, 554, 555, 561,
562, 563, 564, 565, 566, 567, 568, 569, 575, 576, 577, 578, 579, 580,
581, 582, 583, 673, 674, 675, 676, 677, 678, 679, 687, 688, 689, 690,
691, 692, 693, 701, 702, 703, 704, 705, 706, 707, 708, 715, 716, 717,
718, 719, 720, 721, 722, 723, 729, 730, 731, 732, 733, 734, 735, 736,
737, 743, 744, 745, 746, 747, 748, 749, 750, 751, 757, 758, 759, 760,
761, 762, 763, 764, 765, 771, 772, 773, 774, 775, 776, 777, 778, 779,
869, 870, 871, 872, 873, 874, 883, 884, 885, 886, 887, 888, 889, 897,
898, 899, 900, 901, 902, 903, 904, 911, 912, 913, 914, 915, 916, 917,
918, 925, 926, 927, 928, 929, 930, 931, 932, 939, 940, 941, 942, 943,
944, 945, 946, 953, 954, 955, 956, 957, 958, 959, 960, 967, 968, 969,
970, 971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079, 1080, 1081, 1082,
1083, 1084, 1085, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1107, 1108,
1109, 1110, 1111, 1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126,
1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1149, 1150,
1151, 1152, 1153, 1154, 1155, 1156, 1163, 1164, 1165, 1166, 1167, 1168,
1169, 1275, 1276, 1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293,
1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318, 1319, 1320, 1321,
1322, 1323, 1333, 1334, 1335, 1336, 1337, 1348, 1349, 1350, 1362, 1363,
1364
*Elset, elset=poly2
827, 841, 842, 855, 856, 981, 982, 995, 996, 997, 1009, 1010, 1011,
1012, 1023, 1024, 1025, 1026, 1037, 1038, 1039, 1040, 1041, 1051, 1052,
1053, 1054, 1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192, 1193,
1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209, 1210, 1219, 1220, 1221,
1222, 1223, 1224, 1233, 1234, 1235, 1236, 1237, 1238, 1247, 1248, 1249,
1250, 1251, 1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376, 1377,
1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403, 1404, 1405, 1406, 1415,
1416, 1417, 1418, 1419, 1420, 1429, 1430, 1431, 1432, 1433, 1434, 1443,
1444, 1445, 1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571, 1572,
1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600, 1601, 1611, 1612, 1613,
1614, 1615, 1625, 1626, 1627, 1628, 1629, 1639, 1640, 1641, 1642, 1653,
1765, 1766, 1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808, 1809,
1810, 1821, 1822, 1823, 1824
*Elset, elset=poly3
2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071, 2083, 2236, 2237,
2238, 2239, 2240, 2250, 2251, 2252, 2253, 2254, 2264, 2265, 2266, 2267,
2268, 2279, 2280, 2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449,
2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477, 2628, 2629, 2630,
2631, 2632, 2642, 2643, 2644, 2645, 2646, 2656, 2657, 2658, 2659, 2660,
2671, 2672, 2673
*Elset, elset=poly4
1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367, 1533, 1534, 1535,
1547, 1548, 1549, 1561, 1562, 1563, 1729, 1730, 1731, 1743, 1744, 1745,
1757, 1758, 1759
*Elset, elset=poly5
907, 919, 920, 921, 933, 934, 1100, 1101, 1102, 1103, 1115, 1116, 1117,
1129, 1130, 1131, 1144, 1298, 1311, 1312, 1325, 1326
*Elset, elset=poly6
1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493, 1505, 1506, 1507,
1508, 1519, 1520, 1521, 1674, 1687, 1688, 1689, 1701, 1702, 1703, 1704,
1716, 1717
*Elset, elset=poly7
1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989, 1990, 1991, 1992,
2003, 2004, 2005, 2006, 2017, 2018, 2019, 2157, 2158, 2159, 2160, 2161,
2171, 2172, 2173, 2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200,
2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227, 2228, 2229, 2353,
2354, 2355, 2356, 2357, 2367, 2368, 2369, 2370, 2371, 2381, 2382, 2383,
2384, 2385, 2395, 2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413,
2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550, 2551, 2552, 2553,
2563, 2564, 2565, 2566, 2567, 2577, 2578, 2579, 2580, 2581, 2591, 2592,
2593, 2594, 2595, 2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622,
2623, 2633, 2634, 2635, 2636
*Elset, elset=poly8
848, 849, 862, 863, 875, 876, 1030, 1031, 1043, 1044, 1045, 1046, 1056,
1057, 1058, 1059, 1060, 1070, 1071, 1072, 1073, 1074, 1086, 1087, 1225,
1239, 1240, 1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267, 1268,
1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450, 1451, 1463, 1464, 1465
*Elset, elset=poly9
988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183, 1184, 1185, 1186,
1197, 1198, 1199, 1200, 1211, 1212, 1213, 1214, 1226, 1227, 1228, 1378,
1379, 1380, 1381, 1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410,
1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578, 1579, 1589, 1590,
1591, 1592, 1604, 1605, 1606, 1618, 1619, 1620, 1772, 1773, 1774, 1786,
1787, 1788, 1800, 1801
*Elset, elset=poly10
1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160, 1161, 1162, 1173,
1174, 1175, 1176, 1313, 1314, 1315, 1316, 1327, 1328, 1329, 1330, 1340,
1341, 1342, 1343, 1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370,
1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523, 1524, 1525, 1526,
1536, 1537, 1538, 1539, 1540, 1550, 1551, 1552, 1553, 1554, 1564, 1565,
1566, 1567, 1568, 1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722,
1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749, 1750, 1760, 1761,
1762, 1763, 1764, 1915, 1916, 1929, 1930, 1931, 1942, 1943, 1944, 1945,
1946, 1956, 1957, 1958, 1959, 1960
*Elset, elset=poly11
110, 111, 112, 123, 124, 125, 126, 136, 137, 138, 139, 140, 150, 151,
152, 153, 154, 164, 165, 166, 167, 168, 178, 179, 180, 181, 182, 191,
192, 193, 194, 195, 196, 306, 307, 308, 319, 320, 321, 322, 332, 333,
334, 335, 336, 346, 347, 348, 349, 350, 360, 361, 362, 363, 364, 374,
375, 376, 377, 378, 388, 389, 390, 391, 392, 503, 504, 515, 516, 517,
518, 528, 529, 530, 531, 532, 542, 543, 544, 545, 546, 556, 557, 558,
559, 560, 570, 571, 572, 573, 574, 584, 585, 586, 587, 588, 712, 713,
714, 724, 725, 726, 727, 728, 738, 739, 740, 741, 742, 752, 753, 754,
755, 756, 766, 767, 768, 769, 770, 780, 781, 782, 783, 784, 922, 923,
924, 935, 936, 937, 938, 949, 950, 951, 952, 963, 964, 965, 966, 977,
978, 979, 980
*Elset, elset=poly12
1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617, 1630, 1631, 1768,
1769, 1770, 1771, 1782, 1783, 1784, 1785, 1796, 1797, 1798, 1799, 1811,
1812, 1813, 1825, 1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007,
2008, 2021, 2022
*Elset, elset=poly13
699, 700, 881, 882, 894, 895, 896, 908, 909, 910, 1076, 1077, 1078,
1090, 1091, 1092, 1104, 1105, 1106, 1118, 1119, 1120, 1272, 1273, 1274,
1286, 1287, 1288, 1300, 1301, 1302
*Elset, elset=poly14
79, 92, 93, 94, 95, 107, 108, 109, 121, 122, 275, 288, 289, 290, 291,
303, 304, 305, 317, 318, 471, 484, 485, 486, 487, 499, 500, 501, 502,
513, 514, 667, 680, 681, 682, 683, 694, 695, 696, 697, 698, 709, 710,
711, 864, 877, 878, 879, 890, 891, 892, 893, 905, 906
*Elset, elset=poly15
1677, 1690, 1691, 1873, 1886, 1887, 1901
*Elset, elset=poly16
1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466, 1467, 1480, 1481,
1494, 1495
*Elset, elset=poly17
1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899, 1900, 1910, 1911,
1912, 1913, 1914, 1924, 1925, 1926, 1927, 1928, 1938, 1939, 1940, 1941,
1953, 1954, 1955, 2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080,
2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105, 2106, 2107, 2108,
2109, 2110, 2119, 2120, 2121, 2122, 2123, 2124, 2133, 2134, 2135, 2136,
2137, 2138, 2147, 2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259,
2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2287,
2288, 2289, 2290, 2291, 2292, 2301, 2302, 2303, 2304, 2305, 2306, 2315,
2316, 2317, 2318, 2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343,
2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444, 2455, 2456, 2457,
2458, 2459, 2469, 2470, 2471, 2472, 2473, 2474, 2483, 2484, 2485, 2486,
2487, 2488, 2497, 2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514,
2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539, 2540, 2541, 2542,
2543, 2544, 2637, 2638, 2639, 2640, 2641, 2651, 2652, 2653, 2654, 2655,
2665, 2666, 2667, 2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684,
2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708, 2709, 2710, 2711,
2712, 2721, 2722, 2723, 2724, 2725, 2726, 2735, 2736, 2737, 2738, 2739,
2740
*Elset, elset=poly18
1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189, 1190, 1201, 1202,
1203, 1204, 1215, 1216, 1217, 1218, 1229, 1230, 1231, 1232, 1243, 1244,
1245, 1246, 1257, 1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398,
1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427, 1428, 1439, 1440,
1441, 1442, 1453, 1454, 1455, 1456, 1580, 1581, 1582, 1593, 1594, 1595,
1596, 1607, 1608, 1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637,
1638
*Elset, elset=poly19
1, 2, 3, 4, 5, 6, 7, 8, 9, 15, 16, 17, 18, 19, 20, 21,
22, 23, 29, 30, 31, 32, 33, 34, 35, 36, 37, 43, 44, 45, 46, 47,
48, 49, 50, 51, 57, 58, 59, 60, 61, 62, 63, 64, 65, 71, 72, 73,
74, 75, 76, 77, 78, 90, 91, 197, 198, 199, 200, 201, 202, 203, 204, 205,
211, 212, 213, 214, 215, 216, 217, 218, 219, 225, 226, 227, 228, 229,
230, 231, 232, 233, 239, 240, 241, 242, 243, 244, 245, 246, 247, 253,
254, 255, 256, 257, 258, 259, 260, 261, 267, 268, 269, 270, 271, 272,
273, 274, 287, 393, 394, 395, 396, 397, 398, 399, 400, 401, 407, 408,
409, 410, 411, 412, 413, 414, 415, 421, 422, 423, 424, 425, 426, 427,
428, 429, 435, 436, 437, 438, 439, 440, 441, 442, 449, 450, 451, 452,
453, 454, 455, 456, 463, 464, 465, 466, 467, 468, 469, 470, 589, 590,
591, 592, 593, 594, 595, 596, 603, 604, 605, 606, 607, 608, 609, 610,
617, 618, 619, 620, 621, 622, 623, 624, 631, 632, 633, 634, 635, 636,
637, 638, 645, 646, 647, 648, 649, 650, 651, 652, 659, 660, 661, 662,
663, 664, 665, 666, 785, 786, 787, 788, 789, 790, 791, 792, 799, 800,
801, 802, 803, 804, 805, 806, 813, 814, 815, 816, 817, 818, 819, 820,
828, 829, 830, 831, 832, 833, 834, 843, 844, 845, 846, 847, 857, 858,
859, 860, 861, 983, 984, 985, 986, 987, 998, 999, 1000, 1001, 1013,
1014, 1015, 1027, 1028, 1029, 1042
*Elset, elset=poly20
10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 38, 39, 40, 41, 42, 52,
53, 54, 55, 56, 66, 67, 68, 69, 70, 80, 81, 82, 83, 84, 96, 97,
98, 206, 207, 208, 209, 210, 220, 221, 222, 223, 224, 234, 235, 236,
237, 238, 248, 249, 250, 251, 252, 262, 263, 264, 265, 266, 276, 277,
278, 279, 280, 292, 293, 294, 402, 403, 404, 405, 406, 416, 417, 418,
419, 420, 430, 431, 432, 433, 434, 443, 444, 445, 446, 447, 448, 457,
458, 459, 460, 461, 462, 472, 473, 474, 475, 476, 488, 489, 490, 597,
598, 599, 600, 601, 602, 611, 612, 613, 614, 615, 616, 625, 626, 627,
628, 629, 630, 639, 640, 641, 642, 643, 644, 653, 654, 655, 656, 657,
658, 668, 669, 670, 671, 672, 684, 685, 686, 793, 794, 795, 796, 797,
798, 807, 808, 809, 810, 811, 812, 821, 822, 823, 824, 825, 826, 835,
836, 837, 838, 839, 840, 850, 851, 852, 853, 854, 865, 866, 867, 868,
880, 991, 992, 993, 994, 1004, 1005, 1006, 1007, 1008, 1018, 1019, 1020,
1021, 1022, 1032, 1033, 1034, 1035, 1047, 1048, 1061
*Elset, elset=poly21
1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802, 1803, 1804, 1805,
1806, 1817, 1818, 1819, 1820, 1832, 1833, 1834, 1970, 1971, 1972, 1973,
1974, 1984, 1985, 1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012,
2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043, 2044, 2166, 2167,
2168, 2169, 2170, 2180, 2181, 2182, 2183, 2184, 2194, 2195, 2196, 2197,
2198, 2209, 2210, 2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364,
2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392, 2393, 2394, 2405,
2406, 2407, 2408, 2419, 2420, 2421, 2422, 2558, 2559, 2560, 2561, 2562,
2572, 2573, 2574, 2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603,
2604, 2615, 2616, 2617, 2618
*Elset, elset=poly22
1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650, 1651, 1652, 1664,
1665, 1666, 1678, 1679, 1680, 1692, 1693, 1694, 1846, 1847, 1848, 1860,
1861, 1862, 1874, 1875, 1876, 1888, 1889, 1890, 2058, 2072
*Elset, elset=poly23
1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649, 1660, 1661, 1662,
1663, 1675, 1676, 1815, 1816, 1828, 1829, 1830, 1831, 1842, 1843, 1844,
1845, 1856, 1857, 1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052,
2053, 2054
*Elset, elset=poly24
947, 948, 961, 962, 975, 976, 1143, 1157, 1158, 1170, 1171, 1172
*Elset, elset=poly25
1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996, 1997, 2009, 2010,
2011, 2023, 2024, 2025, 2036, 2037, 2038, 2162, 2163, 2164, 2165, 2176,
2177, 2178, 2179, 2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208,
2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235, 2249, 2358, 2359,
2360, 2361, 2372, 2373, 2374, 2375, 2386, 2387, 2388, 2389, 2390, 2400,
2401, 2402, 2403, 2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430,
2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570, 2571, 2582, 2583,
2584, 2585, 2586, 2596, 2597, 2598, 2599, 2600, 2610, 2611, 2612, 2613,
2614, 2624, 2625, 2626, 2627
*Elset, elset=poly26
1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086, 2097, 2098, 2099,
2100, 2111, 2112, 2113, 2114, 2125, 2126, 2127, 2128, 2139, 2140, 2141,
2142, 2153, 2154, 2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307,
2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336, 2337, 2338, 2349,
2350, 2351, 2352, 2478, 2489, 2490, 2491, 2492, 2503, 2504, 2505, 2506,
2517, 2518, 2519, 2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548,
2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713, 2714, 2715, 2716,
2727, 2728, 2729, 2730, 2741, 2742, 2743, 2744
*Elset, elset=poly27
1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361, 1471, 1472, 1473,
1474, 1485, 1486, 1487, 1488, 1489, 1499, 1500, 1501, 1502, 1503, 1504,
1513, 1514, 1515, 1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532,
1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557, 1558, 1559, 1560,
1667, 1668, 1669, 1670, 1681, 1682, 1683, 1684, 1685, 1695, 1696, 1697,
1698, 1699, 1700, 1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725,
1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742, 1751, 1752, 1753,
1754, 1755, 1756, 1877, 1878, 1879, 1880, 1881, 1891, 1892, 1893, 1894,
1895, 1905, 1906, 1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933,
1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951, 1952, 2088, 2089,
2090, 2102, 2103, 2104, 2115, 2116, 2117, 2118, 2129, 2130, 2131, 2132,
2143, 2144, 2145, 2146
*Elset, elset=poly28
1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849, 1850, 1851, 1852,
1853, 1863, 1864, 1865, 1866, 1867, 2020, 2031, 2032, 2033, 2034, 2035,
2045, 2046, 2047, 2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076,
2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258, 2439, 2440
*Elset, elset=poly29
2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271, 2283, 2284, 2285,
2286, 2297, 2298, 2299, 2300, 2311, 2312, 2313, 2314, 2325, 2326, 2327,
2328, 2339, 2340, 2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467,
2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496, 2507, 2508, 2509,
2510, 2521, 2522, 2523, 2524, 2535, 2536, 2537, 2538, 2647, 2648, 2649,
2650, 2661, 2662, 2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691,
2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720, 2731, 2732, 2733,
2734
*Elset, elset=poly30
1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644, 1645, 1657, 1658,
1659, 1671, 1672, 1673, 1686, 1840, 1841, 1854, 1855, 1868, 1869, 2050
*Nset, nset=x0
1, 16, 31, 46, 61, 76, 91, 106, 121, 136, 151, 166, 181, 196, 211, 226,
241, 256, 271, 286, 301, 316, 331, 346, 361, 376, 391, 406, 421, 436,
451, 466, 481, 496, 511, 526, 541, 556, 571, 586, 601, 616, 631, 646,
661, 676, 691, 706, 721, 736, 751, 766, 781, 796, 811, 826, 841, 856,
871, 886, 901, 916, 931, 946, 961, 976, 991, 1006, 1021, 1036, 1051,
1066, 1081, 1096, 1111, 1126, 1141, 1156, 1171, 1186, 1201, 1216, 1231,
1246, 1261, 1276, 1291, 1306, 1321, 1336, 1351, 1366, 1381, 1396, 1411,
1426, 1441, 1456, 1471, 1486, 1501, 1516, 1531, 1546, 1561, 1576, 1591,
1606, 1621, 1636, 1651, 1666, 1681, 1696, 1711, 1726, 1741, 1756, 1771,
1786, 1801, 1816, 1831, 1846, 1861, 1876, 1891, 1906, 1921, 1936, 1951,
1966, 1981, 1996, 2011, 2026, 2041, 2056, 2071, 2086, 2101, 2116, 2131,
2146, 2161, 2176, 2191, 2206, 2221, 2236, 2251, 2266, 2281, 2296, 2311,
2326, 2341, 2356, 2371, 2386, 2401, 2416, 2431, 2446, 2461, 2476, 2491,
2506, 2521, 2536, 2551, 2566, 2581, 2596, 2611, 2626, 2641, 2656, 2671,
2686, 2701, 2716, 2731, 2746, 2761, 2776, 2791, 2806, 2821, 2836, 2851,
2866, 2881, 2896, 2911, 2926, 2941, 2956, 2971, 2986, 3001, 3016, 3031,
3046, 3061, 3076, 3091, 3106, 3121, 3136, 3151, 3166, 3181, 3196, 3211,
3226, 3241, 3256, 3271, 3286, 3301, 3316, 3331, 3346, 3361
*Nset, nset=x1
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225,
240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435,
450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645,
660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855,
870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050,
1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230,
1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410,
1425, 1440, 1455, 1470, 1485, 1500, 1515, 1530, 1545, 1560, 1575, 1590,
1605, 1620, 1635, 1650, 1665, 1680, 1695, 1710, 1725, 1740, 1755, 1770,
1785, 1800, 1815, 1830, 1845, 1860, 1875, 1890, 1905, 1920, 1935, 1950,
1965, 1980, 1995, 2010, 2025, 2040, 2055, 2070, 2085, 2100, 2115, 2130,
2145, 2160, 2175, 2190, 2205, 2220, 2235, 2250, 2265, 2280, 2295, 2310,
2325, 2340, 2355, 2370, 2385, 2400, 2415, 2430, 2445, 2460, 2475, 2490,
2505, 2520, 2535, 2550, 2565, 2580, 2595, 2610, 2625, 2640, 2655, 2670,
2685, 2700, 2715, 2730, 2745, 2760, 2775, 2790, 2805, 2820, 2835, 2850,
2865, 2880, 2895, 2910, 2925, 2940, 2955, 2970, 2985, 3000, 3015, 3030,
3045, 3060, 3075, 3090, 3105, 3120, 3135, 3150, 3165, 3180, 3195, 3210,
3225, 3240, 3255, 3270, 3285, 3300, 3315, 3330, 3345, 3360, 3375
*Nset, nset=y0
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 226,
227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240,
451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464,
465, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688,
689, 690, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912,
913, 914, 915, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134,
1135, 1136, 1137, 1138, 1139, 1140, 1351, 1352, 1353, 1354, 1355, 1356,
1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1576, 1577, 1578,
1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590,
1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812,
1813, 1814, 1815, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034,
2035, 2036, 2037, 2038, 2039, 2040, 2251, 2252, 2253, 2254, 2255, 2256,
2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2476, 2477, 2478,
2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490,
2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712,
2713, 2714, 2715, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934,
2935, 2936, 2937, 2938, 2939, 2940, 3151, 3152, 3153, 3154, 3155, 3156,
3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165
*Nset, nset=y1
211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224,
225, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448,
449, 450, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672,
673, 674, 675, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896,
897, 898, 899, 900, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118,
1119, 1120, 1121, 1122, 1123, 1124, 1125, 1336, 1337, 1338, 1339, 1340,
1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1561, 1562,
1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574,
1575, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796,
1797, 1798, 1799, 1800, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018,
2019, 2020, 2021, 2022, 2023, 2024, 2025, 2236, 2237, 2238, 2239, 2240,
2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2461, 2462,
2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474,
2475, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696,
2697, 2698, 2699, 2700, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918,
2919, 2920, 2921, 2922, 2923, 2924, 2925, 3136, 3137, 3138, 3139, 3140,
3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3361, 3362,
3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374,
3375
*Nset, nset=z0
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64,
65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,
126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,
140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,
182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209,
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3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222,
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3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 3246,
3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258,
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3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282,
3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294,
3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306,
3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318,
3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330,
3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342,
3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354,
3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366,
3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375
*End Part
================================================
FILE: Neper2Abaqus/Step-1 Neper/abq_hex.msh
================================================
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1644 0.571428571429 0.285714285714 0.500000000000
1645 0.642857142857 0.285714285714 0.500000000000
1646 0.714285714286 0.285714285714 0.500000000000
1647 0.785714285714 0.285714285714 0.500000000000
1648 0.857142857143 0.285714285714 0.500000000000
1649 0.928571428571 0.285714285714 0.500000000000
1650 1.000000000000 0.285714285714 0.500000000000
1651 0.000000000000 0.357142857143 0.500000000000
1652 0.071428571429 0.357142857143 0.500000000000
1653 0.142857142857 0.357142857143 0.500000000000
1654 0.214285714286 0.357142857143 0.500000000000
1655 0.285714285714 0.357142857143 0.500000000000
1656 0.357142857143 0.357142857143 0.500000000000
1657 0.428571428571 0.357142857143 0.500000000000
1658 0.500000000000 0.357142857143 0.500000000000
1659 0.571428571429 0.357142857143 0.500000000000
1660 0.642857142857 0.357142857143 0.500000000000
1661 0.714285714286 0.357142857143 0.500000000000
1662 0.785714285714 0.357142857143 0.500000000000
1663 0.857142857143 0.357142857143 0.500000000000
1664 0.928571428571 0.357142857143 0.500000000000
1665 1.000000000000 0.357142857143 0.500000000000
1666 0.000000000000 0.428571428571 0.500000000000
1667 0.071428571429 0.428571428571 0.500000000000
1668 0.142857142857 0.428571428571 0.500000000000
1669 0.214285714286 0.428571428571 0.500000000000
1670 0.285714285714 0.428571428571 0.500000000000
1671 0.357142857143 0.428571428571 0.500000000000
1672 0.428571428571 0.428571428571 0.500000000000
1673 0.500000000000 0.428571428571 0.500000000000
1674 0.571428571429 0.428571428571 0.500000000000
1675 0.642857142857 0.428571428571 0.500000000000
1676 0.714285714286 0.428571428571 0.500000000000
1677 0.785714285714 0.428571428571 0.500000000000
1678 0.857142857143 0.428571428571 0.500000000000
1679 0.928571428571 0.428571428571 0.500000000000
1680 1.000000000000 0.428571428571 0.500000000000
1681 0.000000000000 0.500000000000 0.500000000000
1682 0.071428571429 0.500000000000 0.500000000000
1683 0.142857142857 0.500000000000 0.500000000000
1684 0.214285714286 0.500000000000 0.500000000000
1685 0.285714285714 0.500000000000 0.500000000000
1686 0.357142857143 0.500000000000 0.500000000000
1687 0.428571428571 0.500000000000 0.500000000000
1688 0.500000000000 0.500000000000 0.500000000000
1689 0.571428571429 0.500000000000 0.500000000000
1690 0.642857142857 0.500000000000 0.500000000000
1691 0.714285714286 0.500000000000 0.500000000000
1692 0.785714285714 0.500000000000 0.500000000000
1693 0.857142857143 0.500000000000 0.500000000000
1694 0.928571428571 0.500000000000 0.500000000000
1695 1.000000000000 0.500000000000 0.500000000000
1696 0.000000000000 0.571428571429 0.500000000000
1697 0.071428571429 0.571428571429 0.500000000000
1698 0.142857142857 0.571428571429 0.500000000000
1699 0.214285714286 0.571428571429 0.500000000000
1700 0.285714285714 0.571428571429 0.500000000000
1701 0.357142857143 0.571428571429 0.500000000000
1702 0.428571428571 0.571428571429 0.500000000000
1703 0.500000000000 0.571428571429 0.500000000000
1704 0.571428571429 0.571428571429 0.500000000000
1705 0.642857142857 0.571428571429 0.500000000000
1706 0.714285714286 0.571428571429 0.500000000000
1707 0.785714285714 0.571428571429 0.500000000000
1708 0.857142857143 0.571428571429 0.500000000000
1709 0.928571428571 0.571428571429 0.500000000000
1710 1.000000000000 0.571428571429 0.500000000000
1711 0.000000000000 0.642857142857 0.500000000000
1712 0.071428571429 0.642857142857 0.500000000000
1713 0.142857142857 0.642857142857 0.500000000000
1714 0.214285714286 0.642857142857 0.500000000000
1715 0.285714285714 0.642857142857 0.500000000000
1716 0.357142857143 0.642857142857 0.500000000000
1717 0.428571428571 0.642857142857 0.500000000000
1718 0.500000000000 0.642857142857 0.500000000000
1719 0.571428571429 0.642857142857 0.500000000000
1720 0.642857142857 0.642857142857 0.500000000000
1721 0.714285714286 0.642857142857 0.500000000000
1722 0.785714285714 0.642857142857 0.500000000000
1723 0.857142857143 0.642857142857 0.500000000000
1724 0.928571428571 0.642857142857 0.500000000000
1725 1.000000000000 0.642857142857 0.500000000000
1726 0.000000000000 0.714285714286 0.500000000000
1727 0.071428571429 0.714285714286 0.500000000000
1728 0.142857142857 0.714285714286 0.500000000000
1729 0.214285714286 0.714285714286 0.500000000000
1730 0.285714285714 0.714285714286 0.500000000000
1731 0.357142857143 0.714285714286 0.500000000000
1732 0.428571428571 0.714285714286 0.500000000000
1733 0.500000000000 0.714285714286 0.500000000000
1734 0.571428571429 0.714285714286 0.500000000000
1735 0.642857142857 0.714285714286 0.500000000000
1736 0.714285714286 0.714285714286 0.500000000000
1737 0.785714285714 0.714285714286 0.500000000000
1738 0.857142857143 0.714285714286 0.500000000000
1739 0.928571428571 0.714285714286 0.500000000000
1740 1.000000000000 0.714285714286 0.500000000000
1741 0.000000000000 0.785714285714 0.500000000000
1742 0.071428571429 0.785714285714 0.500000000000
1743 0.142857142857 0.785714285714 0.500000000000
1744 0.214285714286 0.785714285714 0.500000000000
1745 0.285714285714 0.785714285714 0.500000000000
1746 0.357142857143 0.785714285714 0.500000000000
1747 0.428571428571 0.785714285714 0.500000000000
1748 0.500000000000 0.785714285714 0.500000000000
1749 0.571428571429 0.785714285714 0.500000000000
1750 0.642857142857 0.785714285714 0.500000000000
1751 0.714285714286 0.785714285714 0.500000000000
1752 0.785714285714 0.785714285714 0.500000000000
1753 0.857142857143 0.785714285714 0.500000000000
1754 0.928571428571 0.785714285714 0.500000000000
1755 1.000000000000 0.785714285714 0.500000000000
1756 0.000000000000 0.857142857143 0.500000000000
1757 0.071428571429 0.857142857143 0.500000000000
1758 0.142857142857 0.857142857143 0.500000000000
1759 0.214285714286 0.857142857143 0.500000000000
1760 0.285714285714 0.857142857143 0.500000000000
1761 0.357142857143 0.857142857143 0.500000000000
1762 0.428571428571 0.857142857143 0.500000000000
1763 0.500000000000 0.857142857143 0.500000000000
1764 0.571428571429 0.857142857143 0.500000000000
1765 0.642857142857 0.857142857143 0.500000000000
1766 0.714285714286 0.857142857143 0.500000000000
1767 0.785714285714 0.857142857143 0.500000000000
1768 0.857142857143 0.857142857143 0.500000000000
1769 0.928571428571 0.857142857143 0.500000000000
1770 1.000000000000 0.857142857143 0.500000000000
1771 0.000000000000 0.928571428571 0.500000000000
1772 0.071428571429 0.928571428571 0.500000000000
1773 0.142857142857 0.928571428571 0.500000000000
1774 0.214285714286 0.928571428571 0.500000000000
1775 0.285714285714 0.928571428571 0.500000000000
1776 0.357142857143 0.928571428571 0.500000000000
1777 0.428571428571 0.928571428571 0.500000000000
1778 0.500000000000 0.928571428571 0.500000000000
1779 0.571428571429 0.928571428571 0.500000000000
1780 0.642857142857 0.928571428571 0.500000000000
1781 0.714285714286 0.928571428571 0.500000000000
1782 0.785714285714 0.928571428571 0.500000000000
1783 0.857142857143 0.928571428571 0.500000000000
1784 0.928571428571 0.928571428571 0.500000000000
1785 1.000000000000 0.928571428571 0.500000000000
1786 0.000000000000 1.000000000000 0.500000000000
1787 0.071428571429 1.000000000000 0.500000000000
1788 0.142857142857 1.000000000000 0.500000000000
1789 0.214285714286 1.000000000000 0.500000000000
1790 0.285714285714 1.000000000000 0.500000000000
1791 0.357142857143 1.000000000000 0.500000000000
1792 0.428571428571 1.000000000000 0.500000000000
1793 0.500000000000 1.000000000000 0.500000000000
1794 0.571428571429 1.000000000000 0.500000000000
1795 0.642857142857 1.000000000000 0.500000000000
1796 0.714285714286 1.000000000000 0.500000000000
1797 0.785714285714 1.000000000000 0.500000000000
1798 0.857142857143 1.000000000000 0.500000000000
1799 0.928571428571 1.000000000000 0.500000000000
1800 1.000000000000 1.000000000000 0.500000000000
1801 0.000000000000 0.000000000000 0.571428571429
1802 0.071428571429 0.000000000000 0.571428571429
1803 0.142857142857 0.000000000000 0.571428571429
1804 0.214285714286 0.000000000000 0.571428571429
1805 0.285714285714 0.000000000000 0.571428571429
1806 0.357142857143 0.000000000000 0.571428571429
1807 0.428571428571 0.000000000000 0.571428571429
1808 0.500000000000 0.000000000000 0.571428571429
1809 0.571428571429 0.000000000000 0.571428571429
1810 0.642857142857 0.000000000000 0.571428571429
1811 0.714285714286 0.000000000000 0.571428571429
1812 0.785714285714 0.000000000000 0.571428571429
1813 0.857142857143 0.000000000000 0.571428571429
1814 0.928571428571 0.000000000000 0.571428571429
1815 1.000000000000 0.000000000000 0.571428571429
1816 0.000000000000 0.071428571429 0.571428571429
1817 0.071428571429 0.071428571429 0.571428571429
1818 0.142857142857 0.071428571429 0.571428571429
1819 0.214285714286 0.071428571429 0.571428571429
1820 0.285714285714 0.071428571429 0.571428571429
1821 0.357142857143 0.071428571429 0.571428571429
1822 0.428571428571 0.071428571429 0.571428571429
1823 0.500000000000 0.071428571429 0.571428571429
1824 0.571428571429 0.071428571429 0.571428571429
1825 0.642857142857 0.071428571429 0.571428571429
1826 0.714285714286 0.071428571429 0.571428571429
1827 0.785714285714 0.071428571429 0.571428571429
1828 0.857142857143 0.071428571429 0.571428571429
1829 0.928571428571 0.071428571429 0.571428571429
1830 1.000000000000 0.071428571429 0.571428571429
1831 0.000000000000 0.142857142857 0.571428571429
1832 0.071428571429 0.142857142857 0.571428571429
1833 0.142857142857 0.142857142857 0.571428571429
1834 0.214285714286 0.142857142857 0.571428571429
1835 0.285714285714 0.142857142857 0.571428571429
1836 0.357142857143 0.142857142857 0.571428571429
1837 0.428571428571 0.142857142857 0.571428571429
1838 0.500000000000 0.142857142857 0.571428571429
1839 0.571428571429 0.142857142857 0.571428571429
1840 0.642857142857 0.142857142857 0.571428571429
1841 0.714285714286 0.142857142857 0.571428571429
1842 0.785714285714 0.142857142857 0.571428571429
1843 0.857142857143 0.142857142857 0.571428571429
1844 0.928571428571 0.142857142857 0.571428571429
1845 1.000000000000 0.142857142857 0.571428571429
1846 0.000000000000 0.214285714286 0.571428571429
1847 0.071428571429 0.214285714286 0.571428571429
1848 0.142857142857 0.214285714286 0.571428571429
1849 0.214285714286 0.214285714286 0.571428571429
1850 0.285714285714 0.214285714286 0.571428571429
1851 0.357142857143 0.214285714286 0.571428571429
1852 0.428571428571 0.214285714286 0.571428571429
1853 0.500000000000 0.214285714286 0.571428571429
1854 0.571428571429 0.214285714286 0.571428571429
1855 0.642857142857 0.214285714286 0.571428571429
1856 0.714285714286 0.214285714286 0.571428571429
1857 0.785714285714 0.214285714286 0.571428571429
1858 0.857142857143 0.214285714286 0.571428571429
1859 0.928571428571 0.214285714286 0.571428571429
1860 1.000000000000 0.214285714286 0.571428571429
1861 0.000000000000 0.285714285714 0.571428571429
1862 0.071428571429 0.285714285714 0.571428571429
1863 0.142857142857 0.285714285714 0.571428571429
1864 0.214285714286 0.285714285714 0.571428571429
1865 0.285714285714 0.285714285714 0.571428571429
1866 0.357142857143 0.285714285714 0.571428571429
1867 0.428571428571 0.285714285714 0.571428571429
1868 0.500000000000 0.285714285714 0.571428571429
1869 0.571428571429 0.285714285714 0.571428571429
1870 0.642857142857 0.285714285714 0.571428571429
1871 0.714285714286 0.285714285714 0.571428571429
1872 0.785714285714 0.285714285714 0.571428571429
1873 0.857142857143 0.285714285714 0.571428571429
1874 0.928571428571 0.285714285714 0.571428571429
1875 1.000000000000 0.285714285714 0.571428571429
1876 0.000000000000 0.357142857143 0.571428571429
1877 0.071428571429 0.357142857143 0.571428571429
1878 0.142857142857 0.357142857143 0.571428571429
1879 0.214285714286 0.357142857143 0.571428571429
1880 0.285714285714 0.357142857143 0.571428571429
1881 0.357142857143 0.357142857143 0.571428571429
1882 0.428571428571 0.357142857143 0.571428571429
1883 0.500000000000 0.357142857143 0.571428571429
1884 0.571428571429 0.357142857143 0.571428571429
1885 0.642857142857 0.357142857143 0.571428571429
1886 0.714285714286 0.357142857143 0.571428571429
1887 0.785714285714 0.357142857143 0.571428571429
1888 0.857142857143 0.357142857143 0.571428571429
1889 0.928571428571 0.357142857143 0.571428571429
1890 1.000000000000 0.357142857143 0.571428571429
1891 0.000000000000 0.428571428571 0.571428571429
1892 0.071428571429 0.428571428571 0.571428571429
1893 0.142857142857 0.428571428571 0.571428571429
1894 0.214285714286 0.428571428571 0.571428571429
1895 0.285714285714 0.428571428571 0.571428571429
1896 0.357142857143 0.428571428571 0.571428571429
1897 0.428571428571 0.428571428571 0.571428571429
1898 0.500000000000 0.428571428571 0.571428571429
1899 0.571428571429 0.428571428571 0.571428571429
1900 0.642857142857 0.428571428571 0.571428571429
1901 0.714285714286 0.428571428571 0.571428571429
1902 0.785714285714 0.428571428571 0.571428571429
1903 0.857142857143 0.428571428571 0.571428571429
1904 0.928571428571 0.428571428571 0.571428571429
1905 1.000000000000 0.428571428571 0.571428571429
1906 0.000000000000 0.500000000000 0.571428571429
1907 0.071428571429 0.500000000000 0.571428571429
1908 0.142857142857 0.500000000000 0.571428571429
1909 0.214285714286 0.500000000000 0.571428571429
1910 0.285714285714 0.500000000000 0.571428571429
1911 0.357142857143 0.500000000000 0.571428571429
1912 0.428571428571 0.500000000000 0.571428571429
1913 0.500000000000 0.500000000000 0.571428571429
1914 0.571428571429 0.500000000000 0.571428571429
1915 0.642857142857 0.500000000000 0.571428571429
1916 0.714285714286 0.500000000000 0.571428571429
1917 0.785714285714 0.500000000000 0.571428571429
1918 0.857142857143 0.500000000000 0.571428571429
1919 0.928571428571 0.500000000000 0.571428571429
1920 1.000000000000 0.500000000000 0.571428571429
1921 0.000000000000 0.571428571429 0.571428571429
1922 0.071428571429 0.571428571429 0.571428571429
1923 0.142857142857 0.571428571429 0.571428571429
1924 0.214285714286 0.571428571429 0.571428571429
1925 0.285714285714 0.571428571429 0.571428571429
1926 0.357142857143 0.571428571429 0.571428571429
1927 0.428571428571 0.571428571429 0.571428571429
1928 0.500000000000 0.571428571429 0.571428571429
1929 0.571428571429 0.571428571429 0.571428571429
1930 0.642857142857 0.571428571429 0.571428571429
1931 0.714285714286 0.571428571429 0.571428571429
1932 0.785714285714 0.571428571429 0.571428571429
1933 0.857142857143 0.571428571429 0.571428571429
1934 0.928571428571 0.571428571429 0.571428571429
1935 1.000000000000 0.571428571429 0.571428571429
1936 0.000000000000 0.642857142857 0.571428571429
1937 0.071428571429 0.642857142857 0.571428571429
1938 0.142857142857 0.642857142857 0.571428571429
1939 0.214285714286 0.642857142857 0.571428571429
1940 0.285714285714 0.642857142857 0.571428571429
1941 0.357142857143 0.642857142857 0.571428571429
1942 0.428571428571 0.642857142857 0.571428571429
1943 0.500000000000 0.642857142857 0.571428571429
1944 0.571428571429 0.642857142857 0.571428571429
1945 0.642857142857 0.642857142857 0.571428571429
1946 0.714285714286 0.642857142857 0.571428571429
1947 0.785714285714 0.642857142857 0.571428571429
1948 0.857142857143 0.642857142857 0.571428571429
1949 0.928571428571 0.642857142857 0.571428571429
1950 1.000000000000 0.642857142857 0.571428571429
1951 0.000000000000 0.714285714286 0.571428571429
1952 0.071428571429 0.714285714286 0.571428571429
1953 0.142857142857 0.714285714286 0.571428571429
1954 0.214285714286 0.714285714286 0.571428571429
1955 0.285714285714 0.714285714286 0.571428571429
1956 0.357142857143 0.714285714286 0.571428571429
1957 0.428571428571 0.714285714286 0.571428571429
1958 0.500000000000 0.714285714286 0.571428571429
1959 0.571428571429 0.714285714286 0.571428571429
1960 0.642857142857 0.714285714286 0.571428571429
1961 0.714285714286 0.714285714286 0.571428571429
1962 0.785714285714 0.714285714286 0.571428571429
1963 0.857142857143 0.714285714286 0.571428571429
1964 0.928571428571 0.714285714286 0.571428571429
1965 1.000000000000 0.714285714286 0.571428571429
1966 0.000000000000 0.785714285714 0.571428571429
1967 0.071428571429 0.785714285714 0.571428571429
1968 0.142857142857 0.785714285714 0.571428571429
1969 0.214285714286 0.785714285714 0.571428571429
1970 0.285714285714 0.785714285714 0.571428571429
1971 0.357142857143 0.785714285714 0.571428571429
1972 0.428571428571 0.785714285714 0.571428571429
1973 0.500000000000 0.785714285714 0.571428571429
1974 0.571428571429 0.785714285714 0.571428571429
1975 0.642857142857 0.785714285714 0.571428571429
1976 0.714285714286 0.785714285714 0.571428571429
1977 0.785714285714 0.785714285714 0.571428571429
1978 0.857142857143 0.785714285714 0.571428571429
1979 0.928571428571 0.785714285714 0.571428571429
1980 1.000000000000 0.785714285714 0.571428571429
1981 0.000000000000 0.857142857143 0.571428571429
1982 0.071428571429 0.857142857143 0.571428571429
1983 0.142857142857 0.857142857143 0.571428571429
1984 0.214285714286 0.857142857143 0.571428571429
1985 0.285714285714 0.857142857143 0.571428571429
1986 0.357142857143 0.857142857143 0.571428571429
1987 0.428571428571 0.857142857143 0.571428571429
1988 0.500000000000 0.857142857143 0.571428571429
1989 0.571428571429 0.857142857143 0.571428571429
1990 0.642857142857 0.857142857143 0.571428571429
1991 0.714285714286 0.857142857143 0.571428571429
1992 0.785714285714 0.857142857143 0.571428571429
1993 0.857142857143 0.857142857143 0.571428571429
1994 0.928571428571 0.857142857143 0.571428571429
1995 1.000000000000 0.857142857143 0.571428571429
1996 0.000000000000 0.928571428571 0.571428571429
1997 0.071428571429 0.928571428571 0.571428571429
1998 0.142857142857 0.928571428571 0.571428571429
1999 0.214285714286 0.928571428571 0.571428571429
2000 0.285714285714 0.928571428571 0.571428571429
2001 0.357142857143 0.928571428571 0.571428571429
2002 0.428571428571 0.928571428571 0.571428571429
2003 0.500000000000 0.928571428571 0.571428571429
2004 0.571428571429 0.928571428571 0.571428571429
2005 0.642857142857 0.928571428571 0.571428571429
2006 0.714285714286 0.928571428571 0.571428571429
2007 0.785714285714 0.928571428571 0.571428571429
2008 0.857142857143 0.928571428571 0.571428571429
2009 0.928571428571 0.928571428571 0.571428571429
2010 1.000000000000 0.928571428571 0.571428571429
2011 0.000000000000 1.000000000000 0.571428571429
2012 0.071428571429 1.000000000000 0.571428571429
2013 0.142857142857 1.000000000000 0.571428571429
2014 0.214285714286 1.000000000000 0.571428571429
2015 0.285714285714 1.000000000000 0.571428571429
2016 0.357142857143 1.000000000000 0.571428571429
2017 0.428571428571 1.000000000000 0.571428571429
2018 0.500000000000 1.000000000000 0.571428571429
2019 0.571428571429 1.000000000000 0.571428571429
2020 0.642857142857 1.000000000000 0.571428571429
2021 0.714285714286 1.000000000000 0.571428571429
2022 0.785714285714 1.000000000000 0.571428571429
2023 0.857142857143 1.000000000000 0.571428571429
2024 0.928571428571 1.000000000000 0.571428571429
2025 1.000000000000 1.000000000000 0.571428571429
2026 0.000000000000 0.000000000000 0.642857142857
2027 0.071428571429 0.000000000000 0.642857142857
2028 0.142857142857 0.000000000000 0.642857142857
2029 0.214285714286 0.000000000000 0.642857142857
2030 0.285714285714 0.000000000000 0.642857142857
2031 0.357142857143 0.000000000000 0.642857142857
2032 0.428571428571 0.000000000000 0.642857142857
2033 0.500000000000 0.000000000000 0.642857142857
2034 0.571428571429 0.000000000000 0.642857142857
2035 0.642857142857 0.000000000000 0.642857142857
2036 0.714285714286 0.000000000000 0.642857142857
2037 0.785714285714 0.000000000000 0.642857142857
2038 0.857142857143 0.000000000000 0.642857142857
2039 0.928571428571 0.000000000000 0.642857142857
2040 1.000000000000 0.000000000000 0.642857142857
2041 0.000000000000 0.071428571429 0.642857142857
2042 0.071428571429 0.071428571429 0.642857142857
2043 0.142857142857 0.071428571429 0.642857142857
2044 0.214285714286 0.071428571429 0.642857142857
2045 0.285714285714 0.071428571429 0.642857142857
2046 0.357142857143 0.071428571429 0.642857142857
2047 0.428571428571 0.071428571429 0.642857142857
2048 0.500000000000 0.071428571429 0.642857142857
2049 0.571428571429 0.071428571429 0.642857142857
2050 0.642857142857 0.071428571429 0.642857142857
2051 0.714285714286 0.071428571429 0.642857142857
2052 0.785714285714 0.071428571429 0.642857142857
2053 0.857142857143 0.071428571429 0.642857142857
2054 0.928571428571 0.071428571429 0.642857142857
2055 1.000000000000 0.071428571429 0.642857142857
2056 0.000000000000 0.142857142857 0.642857142857
2057 0.071428571429 0.142857142857 0.642857142857
2058 0.142857142857 0.142857142857 0.642857142857
2059 0.214285714286 0.142857142857 0.642857142857
2060 0.285714285714 0.142857142857 0.642857142857
2061 0.357142857143 0.142857142857 0.642857142857
2062 0.428571428571 0.142857142857 0.642857142857
2063 0.500000000000 0.142857142857 0.642857142857
2064 0.571428571429 0.142857142857 0.642857142857
2065 0.642857142857 0.142857142857 0.642857142857
2066 0.714285714286 0.142857142857 0.642857142857
2067 0.785714285714 0.142857142857 0.642857142857
2068 0.857142857143 0.142857142857 0.642857142857
2069 0.928571428571 0.142857142857 0.642857142857
2070 1.000000000000 0.142857142857 0.642857142857
2071 0.000000000000 0.214285714286 0.642857142857
2072 0.071428571429 0.214285714286 0.642857142857
2073 0.142857142857 0.214285714286 0.642857142857
2074 0.214285714286 0.214285714286 0.642857142857
2075 0.285714285714 0.214285714286 0.642857142857
2076 0.357142857143 0.214285714286 0.642857142857
2077 0.428571428571 0.214285714286 0.642857142857
2078 0.500000000000 0.214285714286 0.642857142857
2079 0.571428571429 0.214285714286 0.642857142857
2080 0.642857142857 0.214285714286 0.642857142857
2081 0.714285714286 0.214285714286 0.642857142857
2082 0.785714285714 0.214285714286 0.642857142857
2083 0.857142857143 0.214285714286 0.642857142857
2084 0.928571428571 0.214285714286 0.642857142857
2085 1.000000000000 0.214285714286 0.642857142857
2086 0.000000000000 0.285714285714 0.642857142857
2087 0.071428571429 0.285714285714 0.642857142857
2088 0.142857142857 0.285714285714 0.642857142857
2089 0.214285714286 0.285714285714 0.642857142857
2090 0.285714285714 0.285714285714 0.642857142857
2091 0.357142857143 0.285714285714 0.642857142857
2092 0.428571428571 0.285714285714 0.642857142857
2093 0.500000000000 0.285714285714 0.642857142857
2094 0.571428571429 0.285714285714 0.642857142857
2095 0.642857142857 0.285714285714 0.642857142857
2096 0.714285714286 0.285714285714 0.642857142857
2097 0.785714285714 0.285714285714 0.642857142857
2098 0.857142857143 0.285714285714 0.642857142857
2099 0.928571428571 0.285714285714 0.642857142857
2100 1.000000000000 0.285714285714 0.642857142857
2101 0.000000000000 0.357142857143 0.642857142857
2102 0.071428571429 0.357142857143 0.642857142857
2103 0.142857142857 0.357142857143 0.642857142857
2104 0.214285714286 0.357142857143 0.642857142857
2105 0.285714285714 0.357142857143 0.642857142857
2106 0.357142857143 0.357142857143 0.642857142857
2107 0.428571428571 0.357142857143 0.642857142857
2108 0.500000000000 0.357142857143 0.642857142857
2109 0.571428571429 0.357142857143 0.642857142857
2110 0.642857142857 0.357142857143 0.642857142857
2111 0.714285714286 0.357142857143 0.642857142857
2112 0.785714285714 0.357142857143 0.642857142857
2113 0.857142857143 0.357142857143 0.642857142857
2114 0.928571428571 0.357142857143 0.642857142857
2115 1.000000000000 0.357142857143 0.642857142857
2116 0.000000000000 0.428571428571 0.642857142857
2117 0.071428571429 0.428571428571 0.642857142857
2118 0.142857142857 0.428571428571 0.642857142857
2119 0.214285714286 0.428571428571 0.642857142857
2120 0.285714285714 0.428571428571 0.642857142857
2121 0.357142857143 0.428571428571 0.642857142857
2122 0.428571428571 0.428571428571 0.642857142857
2123 0.500000000000 0.428571428571 0.642857142857
2124 0.571428571429 0.428571428571 0.642857142857
2125 0.642857142857 0.428571428571 0.642857142857
2126 0.714285714286 0.428571428571 0.642857142857
2127 0.785714285714 0.428571428571 0.642857142857
2128 0.857142857143 0.428571428571 0.642857142857
2129 0.928571428571 0.428571428571 0.642857142857
2130 1.000000000000 0.428571428571 0.642857142857
2131 0.000000000000 0.500000000000 0.642857142857
2132 0.071428571429 0.500000000000 0.642857142857
2133 0.142857142857 0.500000000000 0.642857142857
2134 0.214285714286 0.500000000000 0.642857142857
2135 0.285714285714 0.500000000000 0.642857142857
2136 0.357142857143 0.500000000000 0.642857142857
2137 0.428571428571 0.500000000000 0.642857142857
2138 0.500000000000 0.500000000000 0.642857142857
2139 0.571428571429 0.500000000000 0.642857142857
2140 0.642857142857 0.500000000000 0.642857142857
2141 0.714285714286 0.500000000000 0.642857142857
2142 0.785714285714 0.500000000000 0.642857142857
2143 0.857142857143 0.500000000000 0.642857142857
2144 0.928571428571 0.500000000000 0.642857142857
2145 1.000000000000 0.500000000000 0.642857142857
2146 0.000000000000 0.571428571429 0.642857142857
2147 0.071428571429 0.571428571429 0.642857142857
2148 0.142857142857 0.571428571429 0.642857142857
2149 0.214285714286 0.571428571429 0.642857142857
2150 0.285714285714 0.571428571429 0.642857142857
2151 0.357142857143 0.571428571429 0.642857142857
2152 0.428571428571 0.571428571429 0.642857142857
2153 0.500000000000 0.571428571429 0.642857142857
2154 0.571428571429 0.571428571429 0.642857142857
2155 0.642857142857 0.571428571429 0.642857142857
2156 0.714285714286 0.571428571429 0.642857142857
2157 0.785714285714 0.571428571429 0.642857142857
2158 0.857142857143 0.571428571429 0.642857142857
2159 0.928571428571 0.571428571429 0.642857142857
2160 1.000000000000 0.571428571429 0.642857142857
2161 0.000000000000 0.642857142857 0.642857142857
2162 0.071428571429 0.642857142857 0.642857142857
2163 0.142857142857 0.642857142857 0.642857142857
2164 0.214285714286 0.642857142857 0.642857142857
2165 0.285714285714 0.642857142857 0.642857142857
2166 0.357142857143 0.642857142857 0.642857142857
2167 0.428571428571 0.642857142857 0.642857142857
2168 0.500000000000 0.642857142857 0.642857142857
2169 0.571428571429 0.642857142857 0.642857142857
2170 0.642857142857 0.642857142857 0.642857142857
2171 0.714285714286 0.642857142857 0.642857142857
2172 0.785714285714 0.642857142857 0.642857142857
2173 0.857142857143 0.642857142857 0.642857142857
2174 0.928571428571 0.642857142857 0.642857142857
2175 1.000000000000 0.642857142857 0.642857142857
2176 0.000000000000 0.714285714286 0.642857142857
2177 0.071428571429 0.714285714286 0.642857142857
2178 0.142857142857 0.714285714286 0.642857142857
2179 0.214285714286 0.714285714286 0.642857142857
2180 0.285714285714 0.714285714286 0.642857142857
2181 0.357142857143 0.714285714286 0.642857142857
2182 0.428571428571 0.714285714286 0.642857142857
2183 0.500000000000 0.714285714286 0.642857142857
2184 0.571428571429 0.714285714286 0.642857142857
2185 0.642857142857 0.714285714286 0.642857142857
2186 0.714285714286 0.714285714286 0.642857142857
2187 0.785714285714 0.714285714286 0.642857142857
2188 0.857142857143 0.714285714286 0.642857142857
2189 0.928571428571 0.714285714286 0.642857142857
2190 1.000000000000 0.714285714286 0.642857142857
2191 0.000000000000 0.785714285714 0.642857142857
2192 0.071428571429 0.785714285714 0.642857142857
2193 0.142857142857 0.785714285714 0.642857142857
2194 0.214285714286 0.785714285714 0.642857142857
2195 0.285714285714 0.785714285714 0.642857142857
2196 0.357142857143 0.785714285714 0.642857142857
2197 0.428571428571 0.785714285714 0.642857142857
2198 0.500000000000 0.785714285714 0.642857142857
2199 0.571428571429 0.785714285714 0.642857142857
2200 0.642857142857 0.785714285714 0.642857142857
2201 0.714285714286 0.785714285714 0.642857142857
2202 0.785714285714 0.785714285714 0.642857142857
2203 0.857142857143 0.785714285714 0.642857142857
2204 0.928571428571 0.785714285714 0.642857142857
2205 1.000000000000 0.785714285714 0.642857142857
2206 0.000000000000 0.857142857143 0.642857142857
2207 0.071428571429 0.857142857143 0.642857142857
2208 0.142857142857 0.857142857143 0.642857142857
2209 0.214285714286 0.857142857143 0.642857142857
2210 0.285714285714 0.857142857143 0.642857142857
2211 0.357142857143 0.857142857143 0.642857142857
2212 0.428571428571 0.857142857143 0.642857142857
2213 0.500000000000 0.857142857143 0.642857142857
2214 0.571428571429 0.857142857143 0.642857142857
2215 0.642857142857 0.857142857143 0.642857142857
2216 0.714285714286 0.857142857143 0.642857142857
2217 0.785714285714 0.857142857143 0.642857142857
2218 0.857142857143 0.857142857143 0.642857142857
2219 0.928571428571 0.857142857143 0.642857142857
2220 1.000000000000 0.857142857143 0.642857142857
2221 0.000000000000 0.928571428571 0.642857142857
2222 0.071428571429 0.928571428571 0.642857142857
2223 0.142857142857 0.928571428571 0.642857142857
2224 0.214285714286 0.928571428571 0.642857142857
2225 0.285714285714 0.928571428571 0.642857142857
2226 0.357142857143 0.928571428571 0.642857142857
2227 0.428571428571 0.928571428571 0.642857142857
2228 0.500000000000 0.928571428571 0.642857142857
2229 0.571428571429 0.928571428571 0.642857142857
2230 0.642857142857 0.928571428571 0.642857142857
2231 0.714285714286 0.928571428571 0.642857142857
2232 0.785714285714 0.928571428571 0.642857142857
2233 0.857142857143 0.928571428571 0.642857142857
2234 0.928571428571 0.928571428571 0.642857142857
2235 1.000000000000 0.928571428571 0.642857142857
2236 0.000000000000 1.000000000000 0.642857142857
2237 0.071428571429 1.000000000000 0.642857142857
2238 0.142857142857 1.000000000000 0.642857142857
2239 0.214285714286 1.000000000000 0.642857142857
2240 0.285714285714 1.000000000000 0.642857142857
2241 0.357142857143 1.000000000000 0.642857142857
2242 0.428571428571 1.000000000000 0.642857142857
2243 0.500000000000 1.000000000000 0.642857142857
2244 0.571428571429 1.000000000000 0.642857142857
2245 0.642857142857 1.000000000000 0.642857142857
2246 0.714285714286 1.000000000000 0.642857142857
2247 0.785714285714 1.000000000000 0.642857142857
2248 0.857142857143 1.000000000000 0.642857142857
2249 0.928571428571 1.000000000000 0.642857142857
2250 1.000000000000 1.000000000000 0.642857142857
2251 0.000000000000 0.000000000000 0.714285714286
2252 0.071428571429 0.000000000000 0.714285714286
2253 0.142857142857 0.000000000000 0.714285714286
2254 0.214285714286 0.000000000000 0.714285714286
2255 0.285714285714 0.000000000000 0.714285714286
2256 0.357142857143 0.000000000000 0.714285714286
2257 0.428571428571 0.000000000000 0.714285714286
2258 0.500000000000 0.000000000000 0.714285714286
2259 0.571428571429 0.000000000000 0.714285714286
2260 0.642857142857 0.000000000000 0.714285714286
2261 0.714285714286 0.000000000000 0.714285714286
2262 0.785714285714 0.000000000000 0.714285714286
2263 0.857142857143 0.000000000000 0.714285714286
2264 0.928571428571 0.000000000000 0.714285714286
2265 1.000000000000 0.000000000000 0.714285714286
2266 0.000000000000 0.071428571429 0.714285714286
2267 0.071428571429 0.071428571429 0.714285714286
2268 0.142857142857 0.071428571429 0.714285714286
2269 0.214285714286 0.071428571429 0.714285714286
2270 0.285714285714 0.071428571429 0.714285714286
2271 0.357142857143 0.071428571429 0.714285714286
2272 0.428571428571 0.071428571429 0.714285714286
2273 0.500000000000 0.071428571429 0.714285714286
2274 0.571428571429 0.071428571429 0.714285714286
2275 0.642857142857 0.071428571429 0.714285714286
2276 0.714285714286 0.071428571429 0.714285714286
2277 0.785714285714 0.071428571429 0.714285714286
2278 0.857142857143 0.071428571429 0.714285714286
2279 0.928571428571 0.071428571429 0.714285714286
2280 1.000000000000 0.071428571429 0.714285714286
2281 0.000000000000 0.142857142857 0.714285714286
2282 0.071428571429 0.142857142857 0.714285714286
2283 0.142857142857 0.142857142857 0.714285714286
2284 0.214285714286 0.142857142857 0.714285714286
2285 0.285714285714 0.142857142857 0.714285714286
2286 0.357142857143 0.142857142857 0.714285714286
2287 0.428571428571 0.142857142857 0.714285714286
2288 0.500000000000 0.142857142857 0.714285714286
2289 0.571428571429 0.142857142857 0.714285714286
2290 0.642857142857 0.142857142857 0.714285714286
2291 0.714285714286 0.142857142857 0.714285714286
2292 0.785714285714 0.142857142857 0.714285714286
2293 0.857142857143 0.142857142857 0.714285714286
2294 0.928571428571 0.142857142857 0.714285714286
2295 1.000000000000 0.142857142857 0.714285714286
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540 5 3 1 1 0 608 609 624 623 833 834 849 848
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542 5 3 11 11 0 610 611 626 625 835 836 851 850
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551 5 3 1 1 0 620 621 636 635 845 846 861 860
552 5 3 1 1 0 621 622 637 636 846 847 862 861
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555 5 3 1 1 0 624 625 640 639 849 850 865 864
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562 5 3 1 1 0 632 633 648 647 857 858 873 872
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603 5 3 19 19 0 691 692 707 706 916 917 932 931
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725 5 3 11 11 0 821 822 837 836 1046 1047 1062 1061
726 5 3 11 11 0 822 823 838 837 1047 1048 1063 1062
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735 5 3 1 1 0 832 833 848 847 1057 1058 1073 1072
736 5 3 1 1 0 833 834 849 848 1058 1059 1074 1073
737 5 3 1 1 0 834 835 850 849 1059 1060 1075 1074
738 5 3 11 11 0 835 836 851 850 1060 1061 1076 1075
739 5 3 11 11 0 836 837 852 851 1061 1062 1077 1076
740 5 3 11 11 0 837 838 853 852 1062 1063 1078 1077
741 5 3 11 11 0 838 839 854 853 1063 1064 1079 1078
742 5 3 11 11 0 839 840 855 854 1064 1065 1080 1079
743 5 3 1 1 0 841 842 857 856 1066 1067 1082 1081
744 5 3 1 1 0 842 843 858 857 1067 1068 1083 1082
745 5 3 1 1 0 843 844 859 858 1068 1069 1084 1083
746 5 3 1 1 0 844 845 860 859 1069 1070 1085 1084
747 5 3 1 1 0 845 846 861 860 1070 1071 1086 1085
748 5 3 1 1 0 846 847 862 861 1071 1072 1087 1086
749 5 3 1 1 0 847 848 863 862 1072 1073 1088 1087
750 5 3 1 1 0 848 849 864 863 1073 1074 1089 1088
751 5 3 1 1 0 849 850 865 864 1074 1075 1090 1089
752 5 3 11 11 0 850 851 866 865 1075 1076 1091 1090
753 5 3 11 11 0 851 852 867 866 1076 1077 1092 1091
754 5 3 11 11 0 852 853 868 867 1077 1078 1093 1092
755 5 3 11 11 0 853 854 869 868 1078 1079 1094 1093
756 5 3 11 11 0 854 855 870 869 1079 1080 1095 1094
757 5 3 1 1 0 856 857 872 871 1081 1082 1097 1096
758 5 3 1 1 0 857 858 873 872 1082 1083 1098 1097
759 5 3 1 1 0 858 859 874 873 1083 1084 1099 1098
760 5 3 1 1 0 859 860 875 874 1084 1085 1100 1099
761 5 3 1 1 0 860 861 876 875 1085 1086 1101 1100
762 5 3 1 1 0 861 862 877 876 1086 1087 1102 1101
763 5 3 1 1 0 862 863 878 877 1087 1088 1103 1102
764 5 3 1 1 0 863 864 879 878 1088 1089 1104 1103
765 5 3 1 1 0 864 865 880 879 1089 1090 1105 1104
766 5 3 11 11 0 865 866 881 880 1090 1091 1106 1105
767 5 3 11 11 0 866 867 882 881 1091 1092 1107 1106
768 5 3 11 11 0 867 868 883 882 1092 1093 1108 1107
769 5 3 11 11 0 868 869 884 883 1093 1094 1109 1108
770 5 3 11 11 0 869 870 885 884 1094 1095 1110 1109
771 5 3 1 1 0 871 872 887 886 1096 1097 1112 1111
772 5 3 1 1 0 872 873 888 887 1097 1098 1113 1112
773 5 3 1 1 0 873 874 889 888 1098 1099 1114 1113
774 5 3 1 1 0 874 875 890 889 1099 1100 1115 1114
775 5 3 1 1 0 875 876 891 890 1100 1101 1116 1115
776 5 3 1 1 0 876 877 892 891 1101 1102 1117 1116
777 5 3 1 1 0 877 878 893 892 1102 1103 1118 1117
778 5 3 1 1 0 878 879 894 893 1103 1104 1119 1118
779 5 3 1 1 0 879 880 895 894 1104 1105 1120 1119
780 5 3 11 11 0 880 881 896 895 1105 1106 1121 1120
781 5 3 11 11 0 881 882 897 896 1106 1107 1122 1121
782 5 3 11 11 0 882 883 898 897 1107 1108 1123 1122
783 5 3 11 11 0 883 884 899 898 1108 1109 1124 1123
784 5 3 11 11 0 884 885 900 899 1109 1110 1125 1124
785 5 3 19 19 0 901 902 917 916 1126 1127 1142 1141
786 5 3 19 19 0 902 903 918 917 1127 1128 1143 1142
787 5 3 19 19 0 903 904 919 918 1128 1129 1144 1143
788 5 3 19 19 0 904 905 920 919 1129 1130 1145 1144
789 5 3 19 19 0 905 906 921 920 1130 1131 1146 1145
790 5 3 19 19 0 906 907 922 921 1131 1132 1147 1146
791 5 3 19 19 0 907 908 923 922 1132 1133 1148 1147
792 5 3 19 19 0 908 909 924 923 1133 1134 1149 1148
793 5 3 20 20 0 909 910 925 924 1134 1135 1150 1149
794 5 3 20 20 0 910 911 926 925 1135 1136 1151 1150
795 5 3 20 20 0 911 912 927 926 1136 1137 1152 1151
796 5 3 20 20 0 912 913 928 927 1137 1138 1153 1152
797 5 3 20 20 0 913 914 929 928 1138 1139 1154 1153
798 5 3 20 20 0 914 915 930 929 1139 1140 1155 1154
799 5 3 19 19 0 916 917 932 931 1141 1142 1157 1156
800 5 3 19 19 0 917 918 933 932 1142 1143 1158 1157
801 5 3 19 19 0 918 919 934 933 1143 1144 1159 1158
802 5 3 19 19 0 919 920 935 934 1144 1145 1160 1159
803 5 3 19 19 0 920 921 936 935 1145 1146 1161 1160
804 5 3 19 19 0 921 922 937 936 1146 1147 1162 1161
805 5 3 19 19 0 922 923 938 937 1147 1148 1163 1162
806 5 3 19 19 0 923 924 939 938 1148 1149 1164 1163
807 5 3 20 20 0 924 925 940 939 1149 1150 1165 1164
808 5 3 20 20 0 925 926 941 940 1150 1151 1166 1165
809 5 3 20 20 0 926 927 942 941 1151 1152 1167 1166
810 5 3 20 20 0 927 928 943 942 1152 1153 1168 1167
811 5 3 20 20 0 928 929 944 943 1153 1154 1169 1168
812 5 3 20 20 0 929 930 945 944 1154 1155 1170 1169
813 5 3 19 19 0 931 932 947 946 1156 1157 1172 1171
814 5 3 19 19 0 932 933 948 947 1157 1158 1173 1172
815 5 3 19 19 0 933 934 949 948 1158 1159 1174 1173
816 5 3 19 19 0 934 935 950 949 1159 1160 1175 1174
817 5 3 19 19 0 935 936 951 950 1160 1161 1176 1175
818 5 3 19 19 0 936 937 952 951 1161 1162 1177 1176
819 5 3 19 19 0 937 938 953 952 1162 1163 1178 1177
820 5 3 19 19 0 938 939 954 953 1163 1164 1179 1178
821 5 3 20 20 0 939 940 955 954 1164 1165 1180 1179
822 5 3 20 20 0 940 941 956 955 1165 1166 1181 1180
823 5 3 20 20 0 941 942 957 956 1166 1167 1182 1181
824 5 3 20 20 0 942 943 958 957 1167 1168 1183 1182
825 5 3 20 20 0 943 944 959 958 1168 1169 1184 1183
826 5 3 20 20 0 944 945 960 959 1169 1170 1185 1184
827 5 3 2 2 0 946 947 962 961 1171 1172 1187 1186
828 5 3 19 19 0 947 948 963 962 1172 1173 1188 1187
829 5 3 19 19 0 948 949 964 963 1173 1174 1189 1188
830 5 3 19 19 0 949 950 965 964 1174 1175 1190 1189
831 5 3 19 19 0 950 951 966 965 1175 1176 1191 1190
832 5 3 19 19 0 951 952 967 966 1176 1177 1192 1191
833 5 3 19 19 0 952 953 968 967 1177 1178 1193 1192
834 5 3 19 19 0 953 954 969 968 1178 1179 1194 1193
835 5 3 20 20 0 954 955 970 969 1179 1180 1195 1194
836 5 3 20 20 0 955 956 971 970 1180 1181 1196 1195
837 5 3 20 20 0 956 957 972 971 1181 1182 1197 1196
838 5 3 20 20 0 957 958 973 972 1182 1183 1198 1197
839 5 3 20 20 0 958 959 974 973 1183 1184 1199 1198
840 5 3 20 20 0 959 960 975 974 1184 1185 1200 1199
841 5 3 2 2 0 961 962 977 976 1186 1187 1202 1201
842 5 3 2 2 0 962 963 978 977 1187 1188 1203 1202
843 5 3 19 19 0 963 964 979 978 1188 1189 1204 1203
844 5 3 19 19 0 964 965 980 979 1189 1190 1205 1204
845 5 3 19 19 0 965 966 981 980 1190 1191 1206 1205
846 5 3 19 19 0 966 967 982 981 1191 1192 1207 1206
847 5 3 19 19 0 967 968 983 982 1192 1193 1208 1207
848 5 3 8 8 0 968 969 984 983 1193 1194 1209 1208
849 5 3 8 8 0 969 970 985 984 1194 1195 1210 1209
850 5 3 20 20 0 970 971 986 985 1195 1196 1211 1210
851 5 3 20 20 0 971 972 987 986 1196 1197 1212 1211
852 5 3 20 20 0 972 973 988 987 1197 1198 1213 1212
853 5 3 20 20 0 973 974 989 988 1198 1199 1214 1213
854 5 3 20 20 0 974 975 990 989 1199 1200 1215 1214
855 5 3 2 2 0 976 977 992 991 1201 1202 1217 1216
856 5 3 2 2 0 977 978 993 992 1202 1203 1218 1217
857 5 3 19 19 0 978 979 994 993 1203 1204 1219 1218
858 5 3 19 19 0 979 980 995 994 1204 1205 1220 1219
859 5 3 19 19 0 980 981 996 995 1205 1206 1221 1220
860 5 3 19 19 0 981 982 997 996 1206 1207 1222 1221
861 5 3 19 19 0 982 983 998 997 1207 1208 1223 1222
862 5 3 8 8 0 983 984 999 998 1208 1209 1224 1223
863 5 3 8 8 0 984 985 1000 999 1209 1210 1225 1224
864 5 3 14 14 0 985 986 1001 1000 1210 1211 1226 1225
865 5 3 20 20 0 986 987 1002 1001 1211 1212 1227 1226
866 5 3 20 20 0 987 988 1003 1002 1212 1213 1228 1227
867 5 3 20 20 0 988 989 1004 1003 1213 1214 1229 1228
868 5 3 20 20 0 989 990 1005 1004 1214 1215 1230 1229
869 5 3 1 1 0 991 992 1007 1006 1216 1217 1232 1231
870 5 3 1 1 0 992 993 1008 1007 1217 1218 1233 1232
871 5 3 1 1 0 993 994 1009 1008 1218 1219 1234 1233
872 5 3 1 1 0 994 995 1010 1009 1219 1220 1235 1234
873 5 3 1 1 0 995 996 1011 1010 1220 1221 1236 1235
874 5 3 1 1 0 996 997 1012 1011 1221 1222 1237 1236
875 5 3 8 8 0 997 998 1013 1012 1222 1223 1238 1237
876 5 3 8 8 0 998 999 1014 1013 1223 1224 1239 1238
877 5 3 14 14 0 999 1000 1015 1014 1224 1225 1240 1239
878 5 3 14 14 0 1000 1001 1016 1015 1225 1226 1241 1240
879 5 3 14 14 0 1001 1002 1017 1016 1226 1227 1242 1241
880 5 3 20 20 0 1002 1003 1018 1017 1227 1228 1243 1242
881 5 3 13 13 0 1003 1004 1019 1018 1228 1229 1244 1243
882 5 3 13 13 0 1004 1005 1020 1019 1229 1230 1245 1244
883 5 3 1 1 0 1006 1007 1022 1021 1231 1232 1247 1246
884 5 3 1 1 0 1007 1008 1023 1022 1232 1233 1248 1247
885 5 3 1 1 0 1008 1009 1024 1023 1233 1234 1249 1248
886 5 3 1 1 0 1009 1010 1025 1024 1234 1235 1250 1249
887 5 3 1 1 0 1010 1011 1026 1025 1235 1236 1251 1250
888 5 3 1 1 0 1011 1012 1027 1026 1236 1237 1252 1251
889 5 3 1 1 0 1012 1013 1028 1027 1237 1238 1253 1252
890 5 3 14 14 0 1013 1014 1029 1028 1238 1239 1254 1253
891 5 3 14 14 0 1014 1015 1030 1029 1239 1240 1255 1254
892 5 3 14 14 0 1015 1016 1031 1030 1240 1241 1256 1255
893 5 3 14 14 0 1016 1017 1032 1031 1241 1242 1257 1256
894 5 3 13 13 0 1017 1018 1033 1032 1242 1243 1258 1257
895 5 3 13 13 0 1018 1019 1034 1033 1243 1244 1259 1258
896 5 3 13 13 0 1019 1020 1035 1034 1244 1245 1260 1259
897 5 3 1 1 0 1021 1022 1037 1036 1246 1247 1262 1261
898 5 3 1 1 0 1022 1023 1038 1037 1247 1248 1263 1262
899 5 3 1 1 0 1023 1024 1039 1038 1248 1249 1264 1263
900 5 3 1 1 0 1024 1025 1040 1039 1249 1250 1265 1264
901 5 3 1 1 0 1025 1026 1041 1040 1250 1251 1266 1265
902 5 3 1 1 0 1026 1027 1042 1041 1251 1252 1267 1266
903 5 3 1 1 0 1027 1028 1043 1042 1252 1253 1268 1267
904 5 3 1 1 0 1028 1029 1044 1043 1253 1254 1269 1268
905 5 3 14 14 0 1029 1030 1045 1044 1254 1255 1270 1269
906 5 3 14 14 0 1030 1031 1046 1045 1255 1256 1271 1270
907 5 3 5 5 0 1031 1032 1047 1046 1256 1257 1272 1271
908 5 3 13 13 0 1032 1033 1048 1047 1257 1258 1273 1272
909 5 3 13 13 0 1033 1034 1049 1048 1258 1259 1274 1273
910 5 3 13 13 0 1034 1035 1050 1049 1259 1260 1275 1274
911 5 3 1 1 0 1036 1037 1052 1051 1261 1262 1277 1276
912 5 3 1 1 0 1037 1038 1053 1052 1262 1263 1278 1277
913 5 3 1 1 0 1038 1039 1054 1053 1263 1264 1279 1278
914 5 3 1 1 0 1039 1040 1055 1054 1264 1265 1280 1279
915 5 3 1 1 0 1040 1041 1056 1055 1265 1266 1281 1280
916 5 3 1 1 0 1041 1042 1057 1056 1266 1267 1282 1281
917 5 3 1 1 0 1042 1043 1058 1057 1267 1268 1283 1282
918 5 3 1 1 0 1043 1044 1059 1058 1268 1269 1284 1283
919 5 3 5 5 0 1044 1045 1060 1059 1269 1270 1285 1284
920 5 3 5 5 0 1045 1046 1061 1060 1270 1271 1286 1285
921 5 3 5 5 0 1046 1047 1062 1061 1271 1272 1287 1286
922 5 3 11 11 0 1047 1048 1063 1062 1272 1273 1288 1287
923 5 3 11 11 0 1048 1049 1064 1063 1273 1274 1289 1288
924 5 3 11 11 0 1049 1050 1065 1064 1274 1275 1290 1289
925 5 3 1 1 0 1051 1052 1067 1066 1276 1277 1292 1291
926 5 3 1 1 0 1052 1053 1068 1067 1277 1278 1293 1292
927 5 3 1 1 0 1053 1054 1069 1068 1278 1279 1294 1293
928 5 3 1 1 0 1054 1055 1070 1069 1279 1280 1295 1294
929 5 3 1 1 0 1055 1056 1071 1070 1280 1281 1296 1295
930 5 3 1 1 0 1056 1057 1072 1071 1281 1282 1297 1296
931 5 3 1 1 0 1057 1058 1073 1072 1282 1283 1298 1297
932 5 3 1 1 0 1058 1059 1074 1073 1283 1284 1299 1298
933 5 3 5 5 0 1059 1060 1075 1074 1284 1285 1300 1299
934 5 3 5 5 0 1060 1061 1076 1075 1285 1286 1301 1300
935 5 3 11 11 0 1061 1062 1077 1076 1286 1287 1302 1301
936 5 3 11 11 0 1062 1063 1078 1077 1287 1288 1303 1302
937 5 3 11 11 0 1063 1064 1079 1078 1288 1289 1304 1303
938 5 3 11 11 0 1064 1065 1080 1079 1289 1290 1305 1304
939 5 3 1 1 0 1066 1067 1082 1081 1291 1292 1307 1306
940 5 3 1 1 0 1067 1068 1083 1082 1292 1293 1308 1307
941 5 3 1 1 0 1068 1069 1084 1083 1293 1294 1309 1308
942 5 3 1 1 0 1069 1070 1085 1084 1294 1295 1310 1309
943 5 3 1 1 0 1070 1071 1086 1085 1295 1296 1311 1310
944 5 3 1 1 0 1071 1072 1087 1086 1296 1297 1312 1311
945 5 3 1 1 0 1072 1073 1088 1087 1297 1298 1313 1312
946 5 3 1 1 0 1073 1074 1089 1088 1298 1299 1314 1313
947 5 3 24 24 0 1074 1075 1090 1089 1299 1300 1315 1314
948 5 3 24 24 0 1075 1076 1091 1090 1300 1301 1316 1315
949 5 3 11 11 0 1076 1077 1092 1091 1301 1302 1317 1316
950 5 3 11 11 0 1077 1078 1093 1092 1302 1303 1318 1317
951 5 3 11 11 0 1078 1079 1094 1093 1303 1304 1319 1318
952 5 3 11 11 0 1079 1080 1095 1094 1304 1305 1320 1319
953 5 3 1 1 0 1081 1082 1097 1096 1306 1307 1322 1321
954 5 3 1 1 0 1082 1083 1098 1097 1307 1308 1323 1322
955 5 3 1 1 0 1083 1084 1099 1098 1308 1309 1324 1323
956 5 3 1 1 0 1084 1085 1100 1099 1309 1310 1325 1324
957 5 3 1 1 0 1085 1086 1101 1100 1310 1311 1326 1325
958 5 3 1 1 0 1086 1087 1102 1101 1311 1312 1327 1326
959 5 3 1 1 0 1087 1088 1103 1102 1312 1313 1328 1327
960 5 3 1 1 0 1088 1089 1104 1103 1313 1314 1329 1328
961 5 3 24 24 0 1089 1090 1105 1104 1314 1315 1330 1329
962 5 3 24 24 0 1090 1091 1106 1105 1315 1316 1331 1330
963 5 3 11 11 0 1091 1092 1107 1106 1316 1317 1332 1331
964 5 3 11 11 0 1092 1093 1108 1107 1317 1318 1333 1332
965 5 3 11 11 0 1093 1094 1109 1108 1318 1319 1334 1333
966 5 3 11 11 0 1094 1095 1110 1109 1319 1320 1335 1334
967 5 3 1 1 0 1096 1097 1112 1111 1321 1322 1337 1336
968 5 3 1 1 0 1097 1098 1113 1112 1322 1323 1338 1337
969 5 3 1 1 0 1098 1099 1114 1113 1323 1324 1339 1338
970 5 3 1 1 0 1099 1100 1115 1114 1324 1325 1340 1339
971 5 3 1 1 0 1100 1101 1116 1115 1325 1326 1341 1340
972 5 3 1 1 0 1101 1102 1117 1116 1326 1327 1342 1341
973 5 3 1 1 0 1102 1103 1118 1117 1327 1328 1343 1342
974 5 3 1 1 0 1103 1104 1119 1118 1328 1329 1344 1343
975 5 3 24 24 0 1104 1105 1120 1119 1329 1330 1345 1344
976 5 3 24 24 0 1105 1106 1121 1120 1330 1331 1346 1345
977 5 3 11 11 0 1106 1107 1122 1121 1331 1332 1347 1346
978 5 3 11 11 0 1107 1108 1123 1122 1332 1333 1348 1347
979 5 3 11 11 0 1108 1109 1124 1123 1333 1334 1349 1348
980 5 3 11 11 0 1109 1110 1125 1124 1334 1335 1350 1349
981 5 3 2 2 0 1126 1127 1142 1141 1351 1352 1367 1366
982 5 3 2 2 0 1127 1128 1143 1142 1352 1353 1368 1367
983 5 3 19 19 0 1128 1129 1144 1143 1353 1354 1369 1368
984 5 3 19 19 0 1129 1130 1145 1144 1354 1355 1370 1369
985 5 3 19 19 0 1130 1131 1146 1145 1355 1356 1371 1370
986 5 3 19 19 0 1131 1132 1147 1146 1356 1357 1372 1371
987 5 3 19 19 0 1132 1133 1148 1147 1357 1358 1373 1372
988 5 3 9 9 0 1133 1134 1149 1148 1358 1359 1374 1373
989 5 3 9 9 0 1134 1135 1150 1149 1359 1360 1375 1374
990 5 3 9 9 0 1135 1136 1151 1150 1360 1361 1376 1375
991 5 3 20 20 0 1136 1137 1152 1151 1361 1362 1377 1376
992 5 3 20 20 0 1137 1138 1153 1152 1362 1363 1378 1377
993 5 3 20 20 0 1138 1139 1154 1153 1363 1364 1379 1378
994 5 3 20 20 0 1139 1140 1155 1154 1364 1365 1380 1379
995 5 3 2 2 0 1141 1142 1157 1156 1366 1367 1382 1381
996 5 3 2 2 0 1142 1143 1158 1157 1367 1368 1383 1382
997 5 3 2 2 0 1143 1144 1159 1158 1368 1369 1384 1383
998 5 3 19 19 0 1144 1145 1160 1159 1369 1370 1385 1384
999 5 3 19 19 0 1145 1146 1161 1160 1370 1371 1386 1385
1000 5 3 19 19 0 1146 1147 1162 1161 1371 1372 1387 1386
1001 5 3 19 19 0 1147 1148 1163 1162 1372 1373 1388 1387
1002 5 3 9 9 0 1148 1149 1164 1163 1373 1374 1389 1388
1003 5 3 9 9 0 1149 1150 1165 1164 1374 1375 1390 1389
1004 5 3 20 20 0 1150 1151 1166 1165 1375 1376 1391 1390
1005 5 3 20 20 0 1151 1152 1167 1166 1376 1377 1392 1391
1006 5 3 20 20 0 1152 1153 1168 1167 1377 1378 1393 1392
1007 5 3 20 20 0 1153 1154 1169 1168 1378 1379 1394 1393
1008 5 3 20 20 0 1154 1155 1170 1169 1379 1380 1395 1394
1009 5 3 2 2 0 1156 1157 1172 1171 1381 1382 1397 1396
1010 5 3 2 2 0 1157 1158 1173 1172 1382 1383 1398 1397
1011 5 3 2 2 0 1158 1159 1174 1173 1383 1384 1399 1398
1012 5 3 2 2 0 1159 1160 1175 1174 1384 1385 1400 1399
1013 5 3 19 19 0 1160 1161 1176 1175 1385 1386 1401 1400
1014 5 3 19 19 0 1161 1162 1177 1176 1386 1387 1402 1401
1015 5 3 19 19 0 1162 1163 1178 1177 1387 1388 1403 1402
1016 5 3 9 9 0 1163 1164 1179 1178 1388 1389 1404 1403
1017 5 3 9 9 0 1164 1165 1180 1179 1389 1390 1405 1404
1018 5 3 20 20 0 1165 1166 1181 1180 1390 1391 1406 1405
1019 5 3 20 20 0 1166 1167 1182 1181 1391 1392 1407 1406
1020 5 3 20 20 0 1167 1168 1183 1182 1392 1393 1408 1407
1021 5 3 20 20 0 1168 1169 1184 1183 1393 1394 1409 1408
1022 5 3 20 20 0 1169 1170 1185 1184 1394 1395 1410 1409
1023 5 3 2 2 0 1171 1172 1187 1186 1396 1397 1412 1411
1024 5 3 2 2 0 1172 1173 1188 1187 1397 1398 1413 1412
1025 5 3 2 2 0 1173 1174 1189 1188 1398 1399 1414 1413
1026 5 3 2 2 0 1174 1175 1190 1189 1399 1400 1415 1414
1027 5 3 19 19 0 1175 1176 1191 1190 1400 1401 1416 1415
1028 5 3 19 19 0 1176 1177 1192 1191 1401 1402 1417 1416
1029 5 3 19 19 0 1177 1178 1193 1192 1402 1403 1418 1417
1030 5 3 8 8 0 1178 1179 1194 1193 1403 1404 1419 1418
1031 5 3 8 8 0 1179 1180 1195 1194 1404 1405 1420 1419
1032 5 3 20 20 0 1180 1181 1196 1195 1405 1406 1421 1420
1033 5 3 20 20 0 1181 1182 1197 1196 1406 1407 1422 1421
1034 5 3 20 20 0 1182 1183 1198 1197 1407 1408 1423 1422
1035 5 3 20 20 0 1183 1184 1199 1198 1408 1409 1424 1423
1036 5 3 18 18 0 1184 1185 1200 1199 1409 1410 1425 1424
1037 5 3 2 2 0 1186 1187 1202 1201 1411 1412 1427 1426
1038 5 3 2 2 0 1187 1188 1203 1202 1412 1413 1428 1427
1039 5 3 2 2 0 1188 1189 1204 1203 1413 1414 1429 1428
1040 5 3 2 2 0 1189 1190 1205 1204 1414 1415 1430 1429
1041 5 3 2 2 0 1190 1191 1206 1205 1415 1416 1431 1430
1042 5 3 19 19 0 1191 1192 1207 1206 1416 1417 1432 1431
1043 5 3 8 8 0 1192 1193 1208 1207 1417 1418 1433 1432
1044 5 3 8 8 0 1193 1194 1209 1208 1418 1419 1434 1433
1045 5 3 8 8 0 1194 1195 1210 1209 1419 1420 1435 1434
1046 5 3 8 8 0 1195 1196 1211 1210 1420 1421 1436 1435
1047 5 3 20 20 0 1196 1197 1212 1211 1421 1422 1437 1436
1048 5 3 20 20 0 1197 1198 1213 1212 1422 1423 1438 1437
1049 5 3 18 18 0 1198 1199 1214 1213 1423 1424 1439 1438
1050 5 3 18 18 0 1199 1200 1215 1214 1424 1425 1440 1439
1051 5 3 2 2 0 1201 1202 1217 1216 1426 1427 1442 1441
1052 5 3 2 2 0 1202 1203 1218 1217 1427 1428 1443 1442
1053 5 3 2 2 0 1203 1204 1219 1218 1428 1429 1444 1443
1054 5 3 2 2 0 1204 1205 1220 1219 1429 1430 1445 1444
1055 5 3 2 2 0 1205 1206 1221 1220 1430 1431 1446 1445
1056 5 3 8 8 0 1206 1207 1222 1221 1431 1432 1447 1446
1057 5 3 8 8 0 1207 1208 1223 1222 1432 1433 1448 1447
1058 5 3 8 8 0 1208 1209 1224 1223 1433 1434 1449 1448
1059 5 3 8 8 0 1209 1210 1225 1224 1434 1435 1450 1449
1060 5 3 8 8 0 1210 1211 1226 1225 1435 1436 1451 1450
1061 5 3 20 20 0 1211 1212 1227 1226 1436 1437 1452 1451
1062 5 3 18 18 0 1212 1213 1228 1227 1437 1438 1453 1452
1063 5 3 18 18 0 1213 1214 1229 1228 1438 1439 1454 1453
1064 5 3 18 18 0 1214 1215 1230 1229 1439 1440 1455 1454
1065 5 3 2 2 0 1216 1217 1232 1231 1441 1442 1457 1456
1066 5 3 1 1 0 1217 1218 1233 1232 1442 1443 1458 1457
1067 5 3 1 1 0 1218 1219 1234 1233 1443 1444 1459 1458
1068 5 3 1 1 0 1219 1220 1235 1234 1444 1445 1460 1459
1069 5 3 1 1 0 1220 1221 1236 1235 1445 1446 1461 1460
1070 5 3 8 8 0 1221 1222 1237 1236 1446 1447 1462 1461
1071 5 3 8 8 0 1222 1223 1238 1237 1447 1448 1463 1462
1072 5 3 8 8 0 1223 1224 1239 1238 1448 1449 1464 1463
1073 5 3 8 8 0 1224 1225 1240 1239 1449 1450 1465 1464
1074 5 3 8 8 0 1225 1226 1241 1240 1450 1451 1466 1465
1075 5 3 16 16 0 1226 1227 1242 1241 1451 1452 1467 1466
1076 5 3 13 13 0 1227 1228 1243 1242 1452 1453 1468 1467
1077 5 3 13 13 0 1228 1229 1244 1243 1453 1454 1469 1468
1078 5 3 13 13 0 1229 1230 1245 1244 1454 1455 1470 1469
1079 5 3 1 1 0 1231 1232 1247 1246 1456 1457 1472 1471
1080 5 3 1 1 0 1232 1233 1248 1247 1457 1458 1473 1472
1081 5 3 1 1 0 1233 1234 1249 1248 1458 1459 1474 1473
1082 5 3 1 1 0 1234 1235 1250 1249 1459 1460 1475 1474
1083 5 3 1 1 0 1235 1236 1251 1250 1460 1461 1476 1475
1084 5 3 1 1 0 1236 1237 1252 1251 1461 1462 1477 1476
1085 5 3 1 1 0 1237 1238 1253 1252 1462 1463 1478 1477
1086 5 3 8 8 0 1238 1239 1254 1253 1463 1464 1479 1478
1087 5 3 8 8 0 1239 1240 1255 1254 1464 1465 1480 1479
1088 5 3 16 16 0 1240 1241 1256 1255 1465 1466 1481 1480
1089 5 3 16 16 0 1241 1242 1257 1256 1466 1467 1482 1481
1090 5 3 13 13 0 1242 1243 1258 1257 1467 1468 1483 1482
1091 5 3 13 13 0 1243 1244 1259 1258 1468 1469 1484 1483
1092 5 3 13 13 0 1244 1245 1260 1259 1469 1470 1485 1484
1093 5 3 1 1 0 1246 1247 1262 1261 1471 1472 1487 1486
1094 5 3 1 1 0 1247 1248 1263 1262 1472 1473 1488 1487
1095 5 3 1 1 0 1248 1249 1264 1263 1473 1474 1489 1488
1096 5 3 1 1 0 1249 1250 1265 1264 1474 1475 1490 1489
1097 5 3 1 1 0 1250 1251 1266 1265 1475 1476 1491 1490
1098 5 3 1 1 0 1251 1252 1267 1266 1476 1477 1492 1491
1099 5 3 1 1 0 1252 1253 1268 1267 1477 1478 1493 1492
1100 5 3 5 5 0 1253 1254 1269 1268 1478 1479 1494 1493
1101 5 3 5 5 0 1254 1255 1270 1269 1479 1480 1495 1494
1102 5 3 5 5 0 1255 1256 1271 1270 1480 1481 1496 1495
1103 5 3 5 5 0 1256 1257 1272 1271 1481 1482 1497 1496
1104 5 3 13 13 0 1257 1258 1273 1272 1482 1483 1498 1497
1105 5 3 13 13 0 1258 1259 1274 1273 1483 1484 1499 1498
1106 5 3 13 13 0 1259 1260 1275 1274 1484 1485 1500 1499
1107 5 3 1 1 0 1261 1262 1277 1276 1486 1487 1502 1501
1108 5 3 1 1 0 1262 1263 1278 1277 1487 1488 1503 1502
1109 5 3 1 1 0 1263 1264 1279 1278 1488 1489 1504 1503
1110 5 3 1 1 0 1264 1265 1280 1279 1489 1490 1505 1504
1111 5 3 1 1 0 1265 1266 1281 1280 1490 1491 1506 1505
1112 5 3 1 1 0 1266 1267 1282 1281 1491 1492 1507 1506
1113 5 3 1 1 0 1267 1268 1283 1282 1492 1493 1508 1507
1114 5 3 1 1 0 1268 1269 1284 1283 1493 1494 1509 1508
1115 5 3 5 5 0 1269 1270 1285 1284 1494 1495 1510 1509
1116 5 3 5 5 0 1270 1271 1286 1285 1495 1496 1511 1510
1117 5 3 5 5 0 1271 1272 1287 1286 1496 1497 1512 1511
1118 5 3 13 13 0 1272 1273 1288 1287 1497 1498 1513 1512
1119 5 3 13 13 0 1273 1274 1289 1288 1498 1499 1514 1513
1120 5 3 13 13 0 1274 1275 1290 1289 1499 1500 1515 1514
1121 5 3 1 1 0 1276 1277 1292 1291 1501 1502 1517 1516
1122 5 3 1 1 0 1277 1278 1293 1292 1502 1503 1518 1517
1123 5 3 1 1 0 1278 1279 1294 1293 1503 1504 1519 1518
1124 5 3 1 1 0 1279 1280 1295 1294 1504 1505 1520 1519
1125 5 3 1 1 0 1280 1281 1296 1295 1505 1506 1521 1520
1126 5 3 1 1 0 1281 1282 1297 1296 1506 1507 1522 1521
1127 5 3 1 1 0 1282 1283 1298 1297 1507 1508 1523 1522
1128 5 3 1 1 0 1283 1284 1299 1298 1508 1509 1524 1523
1129 5 3 5 5 0 1284 1285 1300 1299 1509 1510 1525 1524
1130 5 3 5 5 0 1285 1286 1301 1300 1510 1511 1526 1525
1131 5 3 5 5 0 1286 1287 1302 1301 1511 1512 1527 1526
1132 5 3 10 10 0 1287 1288 1303 1302 1512 1513 1528 1527
1133 5 3 10 10 0 1288 1289 1304 1303 1513 1514 1529 1528
1134 5 3 10 10 0 1289 1290 1305 1304 1514 1515 1530 1529
1135 5 3 1 1 0 1291 1292 1307 1306 1516 1517 1532 1531
1136 5 3 1 1 0 1292 1293 1308 1307 1517 1518 1533 1532
1137 5 3 1 1 0 1293 1294 1309 1308 1518 1519 1534 1533
1138 5 3 1 1 0 1294 1295 1310 1309 1519 1520 1535 1534
1139 5 3 1 1 0 1295 1296 1311 1310 1520 1521 1536 1535
1140 5 3 1 1 0 1296 1297 1312 1311 1521 1522 1537 1536
1141 5 3 1 1 0 1297 1298 1313 1312 1522 1523 1538 1537
1142 5 3 1 1 0 1298 1299 1314 1313 1523 1524 1539 1538
1143 5 3 24 24 0 1299 1300 1315 1314 1524 1525 1540 1539
1144 5 3 5 5 0 1300 1301 1316 1315 1525 1526 1541 1540
1145 5 3 10 10 0 1301 1302 1317 1316 1526 1527 1542 1541
1146 5 3 10 10 0 1302 1303 1318 1317 1527 1528 1543 1542
1147 5 3 10 10 0 1303 1304 1319 1318 1528 1529 1544 1543
1148 5 3 10 10 0 1304 1305 1320 1319 1529 1530 1545 1544
1149 5 3 1 1 0 1306 1307 1322 1321 1531 1532 1547 1546
1150 5 3 1 1 0 1307 1308 1323 1322 1532 1533 1548 1547
1151 5 3 1 1 0 1308 1309 1324 1323 1533 1534 1549 1548
1152 5 3 1 1 0 1309 1310 1325 1324 1534 1535 1550 1549
1153 5 3 1 1 0 1310 1311 1326 1325 1535 1536 1551 1550
1154 5 3 1 1 0 1311 1312 1327 1326 1536 1537 1552 1551
1155 5 3 1 1 0 1312 1313 1328 1327 1537 1538 1553 1552
1156 5 3 1 1 0 1313 1314 1329 1328 1538 1539 1554 1553
1157 5 3 24 24 0 1314 1315 1330 1329 1539 1540 1555 1554
1158 5 3 24 24 0 1315 1316 1331 1330 1540 1541 1556 1555
1159 5 3 10 10 0 1316 1317 1332 1331 1541 1542 1557 1556
1160 5 3 10 10 0 1317 1318 1333 1332 1542 1543 1558 1557
1161 5 3 10 10 0 1318 1319 1334 1333 1543 1544 1559 1558
1162 5 3 10 10 0 1319 1320 1335 1334 1544 1545 1560 1559
1163 5 3 1 1 0 1321 1322 1337 1336 1546 1547 1562 1561
1164 5 3 1 1 0 1322 1323 1338 1337 1547 1548 1563 1562
1165 5 3 1 1 0 1323 1324 1339 1338 1548 1549 1564 1563
1166 5 3 1 1 0 1324 1325 1340 1339 1549 1550 1565 1564
1167 5 3 1 1 0 1325 1326 1341 1340 1550 1551 1566 1565
1168 5 3 1 1 0 1326 1327 1342 1341 1551 1552 1567 1566
1169 5 3 1 1 0 1327 1328 1343 1342 1552 1553 1568 1567
1170 5 3 24 24 0 1328 1329 1344 1343 1553 1554 1569 1568
1171 5 3 24 24 0 1329 1330 1345 1344 1554 1555 1570 1569
1172 5 3 24 24 0 1330 1331 1346 1345 1555 1556 1571 1570
1173 5 3 10 10 0 1331 1332 1347 1346 1556 1557 1572 1571
1174 5 3 10 10 0 1332 1333 1348 1347 1557 1558 1573 1572
1175 5 3 10 10 0 1333 1334 1349 1348 1558 1559 1574 1573
1176 5 3 10 10 0 1334 1335 1350 1349 1559 1560 1575 1574
1177 5 3 2 2 0 1351 1352 1367 1366 1576 1577 1592 1591
1178 5 3 2 2 0 1352 1353 1368 1367 1577 1578 1593 1592
1179 5 3 2 2 0 1353 1354 1369 1368 1578 1579 1594 1593
1180 5 3 2 2 0 1354 1355 1370 1369 1579 1580 1595 1594
1181 5 3 2 2 0 1355 1356 1371 1370 1580 1581 1596 1595
1182 5 3 9 9 0 1356 1357 1372 1371 1581 1582 1597 1596
1183 5 3 9 9 0 1357 1358 1373 1372 1582 1583 1598 1597
1184 5 3 9 9 0 1358 1359 1374 1373 1583 1584 1599 1598
1185 5 3 9 9 0 1359 1360 1375 1374 1584 1585 1600 1599
1186 5 3 9 9 0 1360 1361 1376 1375 1585 1586 1601 1600
1187 5 3 18 18 0 1361 1362 1377 1376 1586 1587 1602 1601
1188 5 3 18 18 0 1362 1363 1378 1377 1587 1588 1603 1602
1189 5 3 18 18 0 1363 1364 1379 1378 1588 1589 1604 1603
1190 5 3 18 18 0 1364 1365 1380 1379 1589 1590 1605 1604
1191 5 3 2 2 0 1366 1367 1382 1381 1591 1592 1607 1606
1192 5 3 2 2 0 1367 1368 1383 1382 1592 1593 1608 1607
1193 5 3 2 2 0 1368 1369 1384 1383 1593 1594 1609 1608
1194 5 3 2 2 0 1369 1370 1385 1384 1594 1595 1610 1609
1195 5 3 2 2 0 1370 1371 1386 1385 1595 1596 1611 1610
1196 5 3 2 2 0 1371 1372 1387 1386 1596 1597 1612 1611
1197 5 3 9 9 0 1372 1373 1388 1387 1597 1598 1613 1612
1198 5 3 9 9 0 1373 1374 1389 1388 1598 1599 1614 1613
1199 5 3 9 9 0 1374 1375 1390 1389 1599 1600 1615 1614
1200 5 3 9 9 0 1375 1376 1391 1390 1600 1601 1616 1615
1201 5 3 18 18 0 1376 1377 1392 1391 1601 1602 1617 1616
1202 5 3 18 18 0 1377 1378 1393 1392 1602 1603 1618 1617
1203 5 3 18 18 0 1378 1379 1394 1393 1603 1604 1619 1618
1204 5 3 18 18 0 1379 1380 1395 1394 1604 1605 1620 1619
1205 5 3 2 2 0 1381 1382 1397 1396 1606 1607 1622 1621
1206 5 3 2 2 0 1382 1383 1398 1397 1607 1608 1623 1622
1207 5 3 2 2 0 1383 1384 1399 1398 1608 1609 1624 1623
1208 5 3 2 2 0 1384 1385 1400 1399 1609 1610 1625 1624
1209 5 3 2 2 0 1385 1386 1401 1400 1610 1611 1626 1625
1210 5 3 2 2 0 1386 1387 1402 1401 1611 1612 1627 1626
1211 5 3 9 9 0 1387 1388 1403 1402 1612 1613 1628 1627
1212 5 3 9 9 0 1388 1389 1404 1403 1613 1614 1629 1628
1213 5 3 9 9 0 1389 1390 1405 1404 1614 1615 1630 1629
1214 5 3 9 9 0 1390 1391 1406 1405 1615 1616 1631 1630
1215 5 3 18 18 0 1391 1392 1407 1406 1616 1617 1632 1631
1216 5 3 18 18 0 1392 1393 1408 1407 1617 1618 1633 1632
1217 5 3 18 18 0 1393 1394 1409 1408 1618 1619 1634 1633
1218 5 3 18 18 0 1394 1395 1410 1409 1619 1620 1635 1634
1219 5 3 2 2 0 1396 1397 1412 1411 1621 1622 1637 1636
1220 5 3 2 2 0 1397 1398 1413 1412 1622 1623 1638 1637
1221 5 3 2 2 0 1398 1399 1414 1413 1623 1624 1639 1638
1222 5 3 2 2 0 1399 1400 1415 1414 1624 1625 1640 1639
1223 5 3 2 2 0 1400 1401 1416 1415 1625 1626 1641 1640
1224 5 3 2 2 0 1401 1402 1417 1416 1626 1627 1642 1641
1225 5 3 8 8 0 1402 1403 1418 1417 1627 1628 1643 1642
1226 5 3 9 9 0 1403 1404 1419 1418 1628 1629 1644 1643
1227 5 3 9 9 0 1404 1405 1420 1419 1629 1630 1645 1644
1228 5 3 9 9 0 1405 1406 1421 1420 1630 1631 1646 1645
1229 5 3 18 18 0 1406 1407 1422 1421 1631 1632 1647 1646
1230 5 3 18 18 0 1407 1408 1423 1422 1632 1633 1648 1647
1231 5 3 18 18 0 1408 1409 1424 1423 1633 1634 1649 1648
1232 5 3 18 18 0 1409 1410 1425 1424 1634 1635 1650 1649
1233 5 3 2 2 0 1411 1412 1427 1426 1636 1637 1652 1651
1234 5 3 2 2 0 1412 1413 1428 1427 1637 1638 1653 1652
1235 5 3 2 2 0 1413 1414 1429 1428 1638 1639 1654 1653
1236 5 3 2 2 0 1414 1415 1430 1429 1639 1640 1655 1654
1237 5 3 2 2 0 1415 1416 1431 1430 1640 1641 1656 1655
1238 5 3 2 2 0 1416 1417 1432 1431 1641 1642 1657 1656
1239 5 3 8 8 0 1417 1418 1433 1432 1642 1643 1658 1657
1240 5 3 8 8 0 1418 1419 1434 1433 1643 1644 1659 1658
1241 5 3 8 8 0 1419 1420 1435 1434 1644 1645 1660 1659
1242 5 3 8 8 0 1420 1421 1436 1435 1645 1646 1661 1660
1243 5 3 18 18 0 1421 1422 1437 1436 1646 1647 1662 1661
1244 5 3 18 18 0 1422 1423 1438 1437 1647 1648 1663 1662
1245 5 3 18 18 0 1423 1424 1439 1438 1648 1649 1664 1663
1246 5 3 18 18 0 1424 1425 1440 1439 1649 1650 1665 1664
1247 5 3 2 2 0 1426 1427 1442 1441 1651 1652 1667 1666
1248 5 3 2 2 0 1427 1428 1443 1442 1652 1653 1668 1667
1249 5 3 2 2 0 1428 1429 1444 1443 1653 1654 1669 1668
1250 5 3 2 2 0 1429 1430 1445 1444 1654 1655 1670 1669
1251 5 3 2 2 0 1430 1431 1446 1445 1655 1656 1671 1670
1252 5 3 8 8 0 1431 1432 1447 1446 1656 1657 1672 1671
1253 5 3 8 8 0 1432 1433 1448 1447 1657 1658 1673 1672
1254 5 3 8 8 0 1433 1434 1449 1448 1658 1659 1674 1673
1255 5 3 8 8 0 1434 1435 1450 1449 1659 1660 1675 1674
1256 5 3 8 8 0 1435 1436 1451 1450 1660 1661 1676 1675
1257 5 3 18 18 0 1436 1437 1452 1451 1661 1662 1677 1676
1258 5 3 18 18 0 1437 1438 1453 1452 1662 1663 1678 1677
1259 5 3 18 18 0 1438 1439 1454 1453 1663 1664 1679 1678
1260 5 3 18 18 0 1439 1440 1455 1454 1664 1665 1680 1679
1261 5 3 2 2 0 1441 1442 1457 1456 1666 1667 1682 1681
1262 5 3 2 2 0 1442 1443 1458 1457 1667 1668 1683 1682
1263 5 3 2 2 0 1443 1444 1459 1458 1668 1669 1684 1683
1264 5 3 2 2 0 1444 1445 1460 1459 1669 1670 1685 1684
1265 5 3 2 2 0 1445 1446 1461 1460 1670 1671 1686 1685
1266 5 3 8 8 0 1446 1447 1462 1461 1671 1672 1687 1686
1267 5 3 8 8 0 1447 1448 1463 1462 1672 1673 1688 1687
1268 5 3 8 8 0 1448 1449 1464 1463 1673 1674 1689 1688
1269 5 3 8 8 0 1449 1450 1465 1464 1674 1675 1690 1689
1270 5 3 16 16 0 1450 1451 1466 1465 1675 1676 1691 1690
1271 5 3 16 16 0 1451 1452 1467 1466 1676 1677 1692 1691
1272 5 3 13 13 0 1452 1453 1468 1467 1677 1678 1693 1692
1273 5 3 13 13 0 1453 1454 1469 1468 1678 1679 1694 1693
1274 5 3 13 13 0 1454 1455 1470 1469 1679 1680 1695 1694
1275 5 3 1 1 0 1456 1457 1472 1471 1681 1682 1697 1696
1276 5 3 1 1 0 1457 1458 1473 1472 1682 1683 1698 1697
1277 5 3 1 1 0 1458 1459 1474 1473 1683 1684 1699 1698
1278 5 3 1 1 0 1459 1460 1475 1474 1684 1685 1700 1699
1279 5 3 1 1 0 1460 1461 1476 1475 1685 1686 1701 1700
1280 5 3 1 1 0 1461 1462 1477 1476 1686 1687 1702 1701
1281 5 3 8 8 0 1462 1463 1478 1477 1687 1688 1703 1702
1282 5 3 8 8 0 1463 1464 1479 1478 1688 1689 1704 1703
1283 5 3 8 8 0 1464 1465 1480 1479 1689 1690 1705 1704
1284 5 3 16 16 0 1465 1466 1481 1480 1690 1691 1706 1705
1285 5 3 16 16 0 1466 1467 1482 1481 1691 1692 1707 1706
1286 5 3 13 13 0 1467 1468 1483 1482 1692 1693 1708 1707
1287 5 3 13 13 0 1468 1469 1484 1483 1693 1694 1709 1708
1288 5 3 13 13 0 1469 1470 1485 1484 1694 1695 1710 1709
1289 5 3 1 1 0 1471 1472 1487 1486 1696 1697 1712 1711
1290 5 3 1 1 0 1472 1473 1488 1487 1697 1698 1713 1712
1291 5 3 1 1 0 1473 1474 1489 1488 1698 1699 1714 1713
1292 5 3 1 1 0 1474 1475 1490 1489 1699 1700 1715 1714
1293 5 3 1 1 0 1475 1476 1491 1490 1700 1701 1716 1715
1294 5 3 1 1 0 1476 1477 1492 1491 1701 1702 1717 1716
1295 5 3 6 6 0 1477 1478 1493 1492 1702 1703 1718 1717
1296 5 3 6 6 0 1478 1479 1494 1493 1703 1704 1719 1718
1297 5 3 6 6 0 1479 1480 1495 1494 1704 1705 1720 1719
1298 5 3 5 5 0 1480 1481 1496 1495 1705 1706 1721 1720
1299 5 3 16 16 0 1481 1482 1497 1496 1706 1707 1722 1721
1300 5 3 13 13 0 1482 1483 1498 1497 1707 1708 1723 1722
1301 5 3 13 13 0 1483 1484 1499 1498 1708 1709 1724 1723
1302 5 3 13 13 0 1484 1485 1500 1499 1709 1710 1725 1724
1303 5 3 1 1 0 1486 1487 1502 1501 1711 1712 1727 1726
1304 5 3 1 1 0 1487 1488 1503 1502 1712 1713 1728 1727
1305 5 3 1 1 0 1488 1489 1504 1503 1713 1714 1729 1728
1306 5 3 1 1 0 1489 1490 1505 1504 1714 1715 1730 1729
1307 5 3 1 1 0 1490 1491 1506 1505 1715 1716 1731 1730
1308 5 3 1 1 0 1491 1492 1507 1506 1716 1717 1732 1731
1309 5 3 1 1 0 1492 1493 1508 1507 1717 1718 1733 1732
1310 5 3 6 6 0 1493 1494 1509 1508 1718 1719 1734 1733
1311 5 3 5 5 0 1494 1495 1510 1509 1719 1720 1735 1734
1312 5 3 5 5 0 1495 1496 1511 1510 1720 1721 1736 1735
1313 5 3 10 10 0 1496 1497 1512 1511 1721 1722 1737 1736
1314 5 3 10 10 0 1497 1498 1513 1512 1722 1723 1738 1737
1315 5 3 10 10 0 1498 1499 1514 1513 1723 1724 1739 1738
1316 5 3 10 10 0 1499 1500 1515 1514 1724 1725 1740 1739
1317 5 3 27 27 0 1501 1502 1517 1516 1726 1727 1742 1741
1318 5 3 1 1 0 1502 1503 1518 1517 1727 1728 1743 1742
1319 5 3 1 1 0 1503 1504 1519 1518 1728 1729 1744 1743
1320 5 3 1 1 0 1504 1505 1520 1519 1729 1730 1745 1744
1321 5 3 1 1 0 1505 1506 1521 1520 1730 1731 1746 1745
1322 5 3 1 1 0 1506 1507 1522 1521 1731 1732 1747 1746
1323 5 3 1 1 0 1507 1508 1523 1522 1732 1733 1748 1747
1324 5 3 4 4 0 1508 1509 1524 1523 1733 1734 1749 1748
1325 5 3 5 5 0 1509 1510 1525 1524 1734 1735 1750 1749
1326 5 3 5 5 0 1510 1511 1526 1525 1735 1736 1751 1750
1327 5 3 10 10 0 1511 1512 1527 1526 1736 1737 1752 1751
1328 5 3 10 10 0 1512 1513 1528 1527 1737 1738 1753 1752
1329 5 3 10 10 0 1513 1514 1529 1528 1738 1739 1754 1753
1330 5 3 10 10 0 1514 1515 1530 1529 1739 1740 1755 1754
1331 5 3 27 27 0 1516 1517 1532 1531 1741 1742 1757 1756
1332 5 3 27 27 0 1517 1518 1533 1532 1742 1743 1758 1757
1333 5 3 1 1 0 1518 1519 1534 1533 1743 1744 1759 1758
1334 5 3 1 1 0 1519 1520 1535 1534 1744 1745 1760 1759
1335 5 3 1 1 0 1520 1521 1536 1535 1745 1746 1761 1760
1336 5 3 1 1 0 1521 1522 1537 1536 1746 1747 1762 1761
1337 5 3 1 1 0 1522 1523 1538 1537 1747 1748 1763 1762
1338 5 3 4 4 0 1523 1524 1539 1538 1748 1749 1764 1763
1339 5 3 4 4 0 1524 1525 1540 1539 1749 1750 1765 1764
1340 5 3 10 10 0 1525 1526 1541 1540 1750 1751 1766 1765
1341 5 3 10 10 0 1526 1527 1542 1541 1751 1752 1767 1766
1342 5 3 10 10 0 1527 1528 1543 1542 1752 1753 1768 1767
1343 5 3 10 10 0 1528 1529 1544 1543 1753 1754 1769 1768
1344 5 3 10 10 0 1529 1530 1545 1544 1754 1755 1770 1769
1345 5 3 27 27 0 1531 1532 1547 1546 1756 1757 1772 1771
1346 5 3 27 27 0 1532 1533 1548 1547 1757 1758 1773 1772
1347 5 3 27 27 0 1533 1534 1549 1548 1758 1759 1774 1773
1348 5 3 1 1 0 1534 1535 1550 1549 1759 1760 1775 1774
1349 5 3 1 1 0 1535 1536 1551 1550 1760 1761 1776 1775
1350 5 3 1 1 0 1536 1537 1552 1551 1761 1762 1777 1776
1351 5 3 4 4 0 1537 1538 1553 1552 1762 1763 1778 1777
1352 5 3 4 4 0 1538 1539 1554 1553 1763 1764 1779 1778
1353 5 3 4 4 0 1539 1540 1555 1554 1764 1765 1780 1779
1354 5 3 10 10 0 1540 1541 1556 1555 1765 1766 1781 1780
1355 5 3 10 10 0 1541 1542 1557 1556 1766 1767 1782 1781
1356 5 3 10 10 0 1542 1543 1558 1557 1767 1768 1783 1782
1357 5 3 10 10 0 1543 1544 1559 1558 1768 1769 1784 1783
1358 5 3 10 10 0 1544 1545 1560 1559 1769 1770 1785 1784
1359 5 3 27 27 0 1546 1547 1562 1561 1771 1772 1787 1786
1360 5 3 27 27 0 1547 1548 1563 1562 1772 1773 1788 1787
1361 5 3 27 27 0 1548 1549 1564 1563 1773 1774 1789 1788
1362 5 3 1 1 0 1549 1550 1565 1564 1774 1775 1790 1789
1363 5 3 1 1 0 1550 1551 1566 1565 1775 1776 1791 1790
1364 5 3 1 1 0 1551 1552 1567 1566 1776 1777 1792 1791
1365 5 3 4 4 0 1552 1553 1568 1567 1777 1778 1793 1792
1366 5 3 4 4 0 1553 1554 1569 1568 1778 1779 1794 1793
1367 5 3 4 4 0 1554 1555 1570 1569 1779 1780 1795 1794
1368 5 3 10 10 0 1555 1556 1571 1570 1780 1781 1796 1795
1369 5 3 10 10 0 1556 1557 1572 1571 1781 1782 1797 1796
1370 5 3 10 10 0 1557 1558 1573 1572 1782 1783 1798 1797
1371 5 3 10 10 0 1558 1559 1574 1573 1783 1784 1799 1798
1372 5 3 10 10 0 1559 1560 1575 1574 1784 1785 1800 1799
1373 5 3 2 2 0 1576 1577 1592 1591 1801 1802 1817 1816
1374 5 3 2 2 0 1577 1578 1593 1592 1802 1803 1818 1817
1375 5 3 2 2 0 1578 1579 1594 1593 1803 1804 1819 1818
1376 5 3 2 2 0 1579 1580 1595 1594 1804 1805 1820 1819
1377 5 3 2 2 0 1580 1581 1596 1595 1805 1806 1821 1820
1378 5 3 9 9 0 1581 1582 1597 1596 1806 1807 1822 1821
1379 5 3 9 9 0 1582 1583 1598 1597 1807 1808 1823 1822
1380 5 3 9 9 0 1583 1584 1599 1598 1808 1809 1824 1823
1381 5 3 9 9 0 1584 1585 1600 1599 1809 1810 1825 1824
1382 5 3 9 9 0 1585 1586 1601 1600 1810 1811 1826 1825
1383 5 3 18 18 0 1586 1587 1602 1601 1811 1812 1827 1826
1384 5 3 18 18 0 1587 1588 1603 1602 1812 1813 1828 1827
1385 5 3 18 18 0 1588 1589 1604 1603 1813 1814 1829 1828
1386 5 3 18 18 0 1589 1590 1605 1604 1814 1815 1830 1829
1387 5 3 2 2 0 1591 1592 1607 1606 1816 1817 1832 1831
1388 5 3 2 2 0 1592 1593 1608 1607 1817 1818 1833 1832
1389 5 3 2 2 0 1593 1594 1609 1608 1818 1819 1834 1833
1390 5 3 2 2 0 1594 1595 1610 1609 1819 1820 1835 1834
1391 5 3 2 2 0 1595 1596 1611 1610 1820 1821 1836 1835
1392 5 3 12 12 0 1596 1597 1612 1611 1821 1822 1837 1836
1393 5 3 9 9 0 1597 1598 1613 1612 1822 1823 1838 1837
1394 5 3 9 9 0 1598 1599 1614 1613 1823 1824 1839 1838
1395 5 3 9 9 0 1599 1600 1615 1614 1824 1825 1840 1839
1396 5 3 9 9 0 1600 1601 1616 1615 1825 1826 1841 1840
1397 5 3 18 18 0 1601 1602 1617 1616 1826 1827 1842 1841
1398 5 3 18 18 0 1602 1603 1618 1617 1827 1828 1843 1842
1399 5 3 18 18 0 1603 1604 1619 1618 1828 1829 1844 1843
1400 5 3 18 18 0 1604 1605 1620 1619 1829 1830 1845 1844
1401 5 3 2 2 0 1606 1607 1622 1621 1831 1832 1847 1846
1402 5 3 2 2 0 1607 1608 1623 1622 1832 1833 1848 1847
1403 5 3 2 2 0 1608 1609 1624 1623 1833 1834 1849 1848
1404 5 3 2 2 0 1609 1610 1625 1624 1834 1835 1850 1849
1405 5 3 2 2 0 1610 1611 1626 1625 1835 1836 1851 1850
1406 5 3 2 2 0 1611 1612 1627 1626 1836 1837 1852 1851
1407 5 3 9 9 0 1612 1613 1628 1627 1837 1838 1853 1852
1408 5 3 9 9 0 1613 1614 1629 1628 1838 1839 1854 1853
1409 5 3 9 9 0 1614 1615 1630 1629 1839 1840 1855 1854
1410 5 3 9 9 0 1615 1616 1631 1630 1840 1841 1856 1855
1411 5 3 18 18 0 1616 1617 1632 1631 1841 1842 1857 1856
1412 5 3 18 18 0 1617 1618 1633 1632 1842 1843 1858 1857
1413 5 3 18 18 0 1618 1619 1634 1633 1843 1844 1859 1858
1414 5 3 18 18 0 1619 1620 1635 1634 1844 1845 1860 1859
1415 5 3 2 2 0 1621 1622 1637 1636 1846 1847 1862 1861
1416 5 3 2 2 0 1622 1623 1638 1637 1847 1848 1863 1862
1417 5 3 2 2 0 1623 1624 1639 1638 1848 1849 1864 1863
1418 5 3 2 2 0 1624 1625 1640 1639 1849 1850 1865 1864
1419 5 3 2 2 0 1625 1626 1641 1640 1850 1851 1866 1865
1420 5 3 2 2 0 1626 1627 1642 1641 1851 1852 1867 1866
1421 5 3 9 9 0 1627 1628 1643 1642 1852 1853 1868 1867
1422 5 3 9 9 0 1628 1629 1644 1643 1853 1854 1869 1868
1423 5 3 9 9 0 1629 1630 1645 1644 1854 1855 1870 1869
1424 5 3 9 9 0 1630 1631 1646 1645 1855 1856 1871 1870
1425 5 3 18 18 0 1631 1632 1647 1646 1856 1857 1872 1871
1426 5 3 18 18 0 1632 1633 1648 1647 1857 1858 1873 1872
1427 5 3 18 18 0 1633 1634 1649 1648 1858 1859 1874 1873
1428 5 3 18 18 0 1634 1635 1650 1649 1859 1860 1875 1874
1429 5 3 2 2 0 1636 1637 1652 1651 1861 1862 1877 1876
1430 5 3 2 2 0 1637 1638 1653 1652 1862 1863 1878 1877
1431 5 3 2 2 0 1638 1639 1654 1653 1863 1864 1879 1878
1432 5 3 2 2 0 1639 1640 1655 1654 1864 1865 1880 1879
1433 5 3 2 2 0 1640 1641 1656 1655 1865 1866 1881 1880
1434 5 3 2 2 0 1641 1642 1657 1656 1866 1867 1882 1881
1435 5 3 8 8 0 1642 1643 1658 1657 1867 1868 1883 1882
1436 5 3 8 8 0 1643 1644 1659 1658 1868 1869 1884 1883
1437 5 3 9 9 0 1644 1645 1660 1659 1869 1870 1885 1884
1438 5 3 23 23 0 1645 1646 1661 1660 1870 1871 1886 1885
1439 5 3 18 18 0 1646 1647 1662 1661 1871 1872 1887 1886
1440 5 3 18 18 0 1647 1648 1663 1662 1872 1873 1888 1887
1441 5 3 18 18 0 1648 1649 1664 1663 1873 1874 1889 1888
1442 5 3 18 18 0 1649 1650 1665 1664 1874 1875 1890 1889
1443 5 3 2 2 0 1651 1652 1667 1666 1876 1877 1892 1891
1444 5 3 2 2 0 1652 1653 1668 1667 1877 1878 1893 1892
1445 5 3 2 2 0 1653 1654 1669 1668 1878 1879 1894 1893
1446 5 3 2 2 0 1654 1655 1670 1669 1879 1880 1895 1894
1447 5 3 2 2 0 1655 1656 1671 1670 1880 1881 1896 1895
1448 5 3 30 30 0 1656 1657 1672 1671 1881 1882 1897 1896
1449 5 3 8 8 0 1657 1658 1673 1672 1882 1883 1898 1897
1450 5 3 8 8 0 1658 1659 1674 1673 1883 1884 1899 1898
1451 5 3 8 8 0 1659 1660 1675 1674 1884 1885 1900 1899
1452 5 3 23 23 0 1660 1661 1676 1675 1885 1886 1901 1900
1453 5 3 18 18 0 1661 1662 1677 1676 1886 1887 1902 1901
1454 5 3 18 18 0 1662 1663 1678 1677 1887 1888 1903 1902
1455 5 3 18 18 0 1663 1664 1679 1678 1888 1889 1904 1903
1456 5 3 18 18 0 1664 1665 1680 1679 1889 1890 1905 1904
1457 5 3 2 2 0 1666 1667 1682 1681 1891 1892 1907 1906
1458 5 3 2 2 0 1667 1668 1683 1682 1892 1893 1908 1907
1459 5 3 2 2 0 1668 1669 1684 1683 1893 1894 1909 1908
1460 5 3 2 2 0 1669 1670 1685 1684 1894 1895 1910 1909
1461 5 3 30 30 0 1670 1671 1686 1685 1895 1896 1911 1910
1462 5 3 30 30 0 1671 1672 1687 1686 1896 1897 1912 1911
1463 5 3 8 8 0 1672 1673 1688 1687 1897 1898 1913 1912
1464 5 3 8 8 0 1673 1674 1689 1688 1898 1899 1914 1913
1465 5 3 8 8 0 1674 1675 1690 1689 1899 1900 1915 1914
1466 5 3 16 16 0 1675 1676 1691 1690 1900 1901 1916 1915
1467 5 3 16 16 0 1676 1677 1692 1691 1901 1902 1917 1916
1468 5 3 22 22 0 1677 1678 1693 1692 1902 1903 1918 1917
1469 5 3 22 22 0 1678 1679 1694 1693 1903 1904 1919 1918
1470 5 3 22 22 0 1679 1680 1695 1694 1904 1905 1920 1919
1471 5 3 27 27 0 1681 1682 1697 1696 1906 1907 1922 1921
1472 5 3 27 27 0 1682 1683 1698 1697 1907 1908 1923 1922
1473 5 3 27 27 0 1683 1684 1699 1698 1908 1909 1924 1923
1474 5 3 27 27 0 1684 1685 1700 1699 1909 1910 1925 1924
1475 5 3 30 30 0 1685 1686 1701 1700 1910 1911 1926 1925
1476 5 3 30 30 0 1686 1687 1702 1701 1911 1912 1927 1926
1477 5 3 30 30 0 1687 1688 1703 1702 1912 1913 1928 1927
1478 5 3 6 6 0 1688 1689 1704 1703 1913 1914 1929 1928
1479 5 3 6 6 0 1689 1690 1705 1704 1914 1915 1930 1929
1480 5 3 16 16 0 1690 1691 1706 1705 1915 1916 1931 1930
1481 5 3 16 16 0 1691 1692 1707 1706 1916 1917 1932 1931
1482 5 3 22 22 0 1692 1693 1708 1707 1917 1918 1933 1932
1483 5 3 22 22 0 1693 1694 1709 1708 1918 1919 1934 1933
1484 5 3 22 22 0 1694 1695 1710 1709 1919 1920 1935 1934
1485 5 3 27 27 0 1696 1697 1712 1711 1921 1922 1937 1936
1486 5 3 27 27 0 1697 1698 1713 1712 1922 1923 1938 1937
1487 5 3 27 27 0 1698 1699 1714 1713 1923 1924 1939 1938
1488 5 3 27 27 0 1699 1700 1715 1714 1924 1925 1940 1939
1489 5 3 27 27 0 1700 1701 1716 1715 1925 1926 1941 1940
1490 5 3 30 30 0 1701 1702 1717 1716 1926 1927 1942 1941
1491 5 3 6 6 0 1702 1703 1718 1717 1927 1928 1943 1942
1492 5 3 6 6 0 1703 1704 1719 1718 1928 1929 1944 1943
1493 5 3 6 6 0 1704 1705 1720 1719 1929 1930 1945 1944
1494 5 3 16 16 0 1705 1706 1721 1720 1930 1931 1946 1945
1495 5 3 16 16 0 1706 1707 1722 1721 1931 1932 1947 1946
1496 5 3 10 10 0 1707 1708 1723 1722 1932 1933 1948 1947
1497 5 3 22 22 0 1708 1709 1724 1723 1933 1934 1949 1948
1498 5 3 22 22 0 1709 1710 1725 1724 1934 1935 1950 1949
1499 5 3 27 27 0 1711 1712 1727 1726 1936 1937 1952 1951
1500 5 3 27 27 0 1712 1713 1728 1727 1937 1938 1953 1952
1501 5 3 27 27 0 1713 1714 1729 1728 1938 1939 1954 1953
1502 5 3 27 27 0 1714 1715 1730 1729 1939 1940 1955 1954
1503 5 3 27 27 0 1715 1716 1731 1730 1940 1941 1956 1955
1504 5 3 27 27 0 1716 1717 1732 1731 1941 1942 1957 1956
1505 5 3 6 6 0 1717 1718 1733 1732 1942 1943 1958 1957
1506 5 3 6 6 0 1718 1719 1734 1733 1943 1944 1959 1958
1507 5 3 6 6 0 1719 1720 1735 1734 1944 1945 1960 1959
1508 5 3 6 6 0 1720 1721 1736 1735 1945 1946 1961 1960
1509 5 3 10 10 0 1721 1722 1737 1736 1946 1947 1962 1961
1510 5 3 10 10 0 1722 1723 1738 1737 1947 1948 1963 1962
1511 5 3 10 10 0 1723 1724 1739 1738 1948 1949 1964 1963
1512 5 3 10 10 0 1724 1725 1740 1739 1949 1950 1965 1964
1513 5 3 27 27 0 1726 1727 1742 1741 1951 1952 1967 1966
1514 5 3 27 27 0 1727 1728 1743 1742 1952 1953 1968 1967
1515 5 3 27 27 0 1728 1729 1744 1743 1953 1954 1969 1968
1516 5 3 27 27 0 1729 1730 1745 1744 1954 1955 1970 1969
1517 5 3 27 27 0 1730 1731 1746 1745 1955 1956 1971 1970
1518 5 3 27 27 0 1731 1732 1747 1746 1956 1957 1972 1971
1519 5 3 6 6 0 1732 1733 1748 1747 1957 1958 1973 1972
1520 5 3 6 6 0 1733 1734 1749 1748 1958 1959 1974 1973
1521 5 3 6 6 0 1734 1735 1750 1749 1959 1960 1975 1974
1522 5 3 10 10 0 1735 1736 1751 1750 1960 1961 1976 1975
1523 5 3 10 10 0 1736 1737 1752 1751 1961 1962 1977 1976
1524 5 3 10 10 0 1737 1738 1753 1752 1962 1963 1978 1977
1525 5 3 10 10 0 1738 1739 1754 1753 1963 1964 1979 1978
1526 5 3 10 10 0 1739 1740 1755 1754 1964 1965 1980 1979
1527 5 3 27 27 0 1741 1742 1757 1756 1966 1967 1982 1981
1528 5 3 27 27 0 1742 1743 1758 1757 1967 1968 1983 1982
1529 5 3 27 27 0 1743 1744 1759 1758 1968 1969 1984 1983
1530 5 3 27 27 0 1744 1745 1760 1759 1969 1970 1985 1984
1531 5 3 27 27 0 1745 1746 1761 1760 1970 1971 1986 1985
1532 5 3 27 27 0 1746 1747 1762 1761 1971 1972 1987 1986
1533 5 3 4 4 0 1747 1748 1763 1762 1972 1973 1988 1987
1534 5 3 4 4 0 1748 1749 1764 1763 1973 1974 1989 1988
1535 5 3 4 4 0 1749 1750 1765 1764 1974 1975 1990 1989
1536 5 3 10 10 0 1750 1751 1766 1765 1975 1976 1991 1990
1537 5 3 10 10 0 1751 1752 1767 1766 1976 1977 1992 1991
1538 5 3 10 10 0 1752 1753 1768 1767 1977 1978 1993 1992
1539 5 3 10 10 0 1753 1754 1769 1768 1978 1979 1994 1993
1540 5 3 10 10 0 1754 1755 1770 1769 1979 1980 1995 1994
1541 5 3 27 27 0 1756 1757 1772 1771 1981 1982 1997 1996
1542 5 3 27 27 0 1757 1758 1773 1772 1982 1983 1998 1997
1543 5 3 27 27 0 1758 1759 1774 1773 1983 1984 1999 1998
1544 5 3 27 27 0 1759 1760 1775 1774 1984 1985 2000 1999
1545 5 3 27 27 0 1760 1761 1776 1775 1985 1986 2001 2000
1546 5 3 27 27 0 1761 1762 1777 1776 1986 1987 2002 2001
1547 5 3 4 4 0 1762 1763 1778 1777 1987 1988 2003 2002
1548 5 3 4 4 0 1763 1764 1779 1778 1988 1989 2004 2003
1549 5 3 4 4 0 1764 1765 1780 1779 1989 1990 2005 2004
1550 5 3 10 10 0 1765 1766 1781 1780 1990 1991 2006 2005
1551 5 3 10 10 0 1766 1767 1782 1781 1991 1992 2007 2006
1552 5 3 10 10 0 1767 1768 1783 1782 1992 1993 2008 2007
1553 5 3 10 10 0 1768 1769 1784 1783 1993 1994 2009 2008
1554 5 3 10 10 0 1769 1770 1785 1784 1994 1995 2010 2009
1555 5 3 27 27 0 1771 1772 1787 1786 1996 1997 2012 2011
1556 5 3 27 27 0 1772 1773 1788 1787 1997 1998 2013 2012
1557 5 3 27 27 0 1773 1774 1789 1788 1998 1999 2014 2013
1558 5 3 27 27 0 1774 1775 1790 1789 1999 2000 2015 2014
1559 5 3 27 27 0 1775 1776 1791 1790 2000 2001 2016 2015
1560 5 3 27 27 0 1776 1777 1792 1791 2001 2002 2017 2016
1561 5 3 4 4 0 1777 1778 1793 1792 2002 2003 2018 2017
1562 5 3 4 4 0 1778 1779 1794 1793 2003 2004 2019 2018
1563 5 3 4 4 0 1779 1780 1795 1794 2004 2005 2020 2019
1564 5 3 10 10 0 1780 1781 1796 1795 2005 2006 2021 2020
1565 5 3 10 10 0 1781 1782 1797 1796 2006 2007 2022 2021
1566 5 3 10 10 0 1782 1783 1798 1797 2007 2008 2023 2022
1567 5 3 10 10 0 1783 1784 1799 1798 2008 2009 2024 2023
1568 5 3 10 10 0 1784 1785 1800 1799 2009 2010 2025 2024
1569 5 3 2 2 0 1801 1802 1817 1816 2026 2027 2042 2041
1570 5 3 2 2 0 1802 1803 1818 1817 2027 2028 2043 2042
1571 5 3 2 2 0 1803 1804 1819 1818 2028 2029 2044 2043
1572 5 3 2 2 0 1804 1805 1820 1819 2029 2030 2045 2044
1573 5 3 12 12 0 1805 1806 1821 1820 2030 2031 2046 2045
1574 5 3 12 12 0 1806 1807 1822 1821 2031 2032 2047 2046
1575 5 3 9 9 0 1807 1808 1823 1822 2032 2033 2048 2047
1576 5 3 9 9 0 1808 1809 1824 1823 2033 2034 2049 2048
1577 5 3 9 9 0 1809 1810 1825 1824 2034 2035 2050 2049
1578 5 3 9 9 0 1810 1811 1826 1825 2035 2036 2051 2050
1579 5 3 9 9 0 1811 1812 1827 1826 2036 2037 2052 2051
1580 5 3 18 18 0 1812 1813 1828 1827 2037 2038 2053 2052
1581 5 3 18 18 0 1813 1814 1829 1828 2038 2039 2054 2053
1582 5 3 18 18 0 1814 1815 1830 1829 2039 2040 2055 2054
1583 5 3 2 2 0 1816 1817 1832 1831 2041 2042 2057 2056
1584 5 3 2 2 0 1817 1818 1833 1832 2042 2043 2058 2057
1585 5 3 2 2 0 1818 1819 1834 1833 2043 2044 2059 2058
1586 5 3 2 2 0 1819 1820 1835 1834 2044 2045 2060 2059
1587 5 3 12 12 0 1820 1821 1836 1835 2045 2046 2061 2060
1588 5 3 12 12 0 1821 1822 1837 1836 2046 2047 2062 2061
1589 5 3 9 9 0 1822 1823 1838 1837 2047 2048 2063 2062
1590 5 3 9 9 0 1823 1824 1839 1838 2048 2049 2064 2063
1591 5 3 9 9 0 1824 1825 1840 1839 2049 2050 2065 2064
1592 5 3 9 9 0 1825 1826 1841 1840 2050 2051 2066 2065
1593 5 3 18 18 0 1826 1827 1842 1841 2051 2052 2067 2066
1594 5 3 18 18 0 1827 1828 1843 1842 2052 2053 2068 2067
1595 5 3 18 18 0 1828 1829 1844 1843 2053 2054 2069 2068
1596 5 3 18 18 0 1829 1830 1845 1844 2054 2055 2070 2069
1597 5 3 2 2 0 1831 1832 1847 1846 2056 2057 2072 2071
1598 5 3 2 2 0 1832 1833 1848 1847 2057 2058 2073 2072
1599 5 3 2 2 0 1833 1834 1849 1848 2058 2059 2074 2073
1600 5 3 2 2 0 1834 1835 1850 1849 2059 2060 2075 2074
1601 5 3 2 2 0 1835 1836 1851 1850 2060 2061 2076 2075
1602 5 3 12 12 0 1836 1837 1852 1851 2061 2062 2077 2076
1603 5 3 12 12 0 1837 1838 1853 1852 2062 2063 2078 2077
1604 5 3 9 9 0 1838 1839 1854 1853 2063 2064 2079 2078
1605 5 3 9 9 0 1839 1840 1855 1854 2064 2065 2080 2079
1606 5 3 9 9 0 1840 1841 1856 1855 2065 2066 2081 2080
1607 5 3 18 18 0 1841 1842 1857 1856 2066 2067 2082 2081
1608 5 3 18 18 0 1842 1843 1858 1857 2067 2068 2083 2082
1609 5 3 18 18 0 1843 1844 1859 1858 2068 2069 2084 2083
1610 5 3 18 18 0 1844 1845 1860 1859 2069 2070 2085 2084
1611 5 3 2 2 0 1846 1847 1862 1861 2071 2072 2087 2086
1612 5 3 2 2 0 1847 1848 1863 1862 2072 2073 2088 2087
1613 5 3 2 2 0 1848 1849 1864 1863 2073 2074 2089 2088
1614 5 3 2 2 0 1849 1850 1865 1864 2074 2075 2090 2089
1615 5 3 2 2 0 1850 1851 1866 1865 2075 2076 2091 2090
1616 5 3 12 12 0 1851 1852 1867 1866 2076 2077 2092 2091
1617 5 3 12 12 0 1852 1853 1868 1867 2077 2078 2093 2092
1618 5 3 9 9 0 1853 1854 1869 1868 2078 2079 2094 2093
1619 5 3 9 9 0 1854 1855 1870 1869 2079 2080 2095 2094
1620 5 3 9 9 0 1855 1856 1871 1870 2080 2081 2096 2095
1621 5 3 18 18 0 1856 1857 1872 1871 2081 2082 2097 2096
1622 5 3 18 18 0 1857 1858 1873 1872 2082 2083 2098 2097
1623 5 3 18 18 0 1858 1859 1874 1873 2083 2084 2099 2098
1624 5 3 18 18 0 1859 1860 1875 1874 2084 2085 2100 2099
1625 5 3 2 2 0 1861 1862 1877 1876 2086 2087 2102 2101
1626 5 3 2 2 0 1862 1863 1878 1877 2087 2088 2103 2102
1627 5 3 2 2 0 1863 1864 1879 1878 2088 2089 2104 2103
1628 5 3 2 2 0 1864 1865 1880 1879 2089 2090 2105 2104
1629 5 3 2 2 0 1865 1866 1881 1880 2090 2091 2106 2105
1630 5 3 12 12 0 1866 1867 1882 1881 2091 2092 2107 2106
1631 5 3 12 12 0 1867 1868 1883 1882 2092 2093 2108 2107
1632 5 3 23 23 0 1868 1869 1884 1883 2093 2094 2109 2108
1633 5 3 23 23 0 1869 1870 1885 1884 2094 2095 2110 2109
1634 5 3 23 23 0 1870 1871 1886 1885 2095 2096 2111 2110
1635 5 3 18 18 0 1871 1872 1887 1886 2096 2097 2112 2111
1636 5 3 18 18 0 1872 1873 1888 1887 2097 2098 2113 2112
1637 5 3 18 18 0 1873 1874 1889 1888 2098 2099 2114 2113
1638 5 3 18 18 0 1874 1875 1890 1889 2099 2100 2115 2114
1639 5 3 2 2 0 1876 1877 1892 1891 2101 2102 2117 2116
1640 5 3 2 2 0 1877 1878 1893 1892 2102 2103 2118 2117
1641 5 3 2 2 0 1878 1879 1894 1893 2103 2104 2119 2118
1642 5 3 2 2 0 1879 1880 1895 1894 2104 2105 2120 2119
1643 5 3 30 30 0 1880 1881 1896 1895 2105 2106 2121 2120
1644 5 3 30 30 0 1881 1882 1897 1896 2106 2107 2122 2121
1645 5 3 30 30 0 1882 1883 1898 1897 2107 2108 2123 2122
1646 5 3 23 23 0 1883 1884 1899 1898 2108 2109 2124 2123
1647 5 3 23 23 0 1884 1885 1900 1899 2109 2110 2125 2124
1648 5 3 23 23 0 1885 1886 1901 1900 2110 2111 2126 2125
1649 5 3 23 23 0 1886 1887 1902 1901 2111 2112 2127 2126
1650 5 3 22 22 0 1887 1888 1903 1902 2112 2113 2128 2127
1651 5 3 22 22 0 1888 1889 1904 1903 2113 2114 2129 2128
1652 5 3 22 22 0 1889 1890 1905 1904 2114 2115 2130 2129
1653 5 3 2 2 0 1891 1892 1907 1906 2116 2117 2132 2131
1654 5 3 28 28 0 1892 1893 1908 1907 2117 2118 2133 2132
1655 5 3 28 28 0 1893 1894 1909 1908 2118 2119 2134 2133
1656 5 3 28 28 0 1894 1895 1910 1909 2119 2120 2135 2134
1657 5 3 30 30 0 1895 1896 1911 1910 2120 2121 2136 2135
1658 5 3 30 30 0 1896 1897 1912 1911 2121 2122 2137 2136
1659 5 3 30 30 0 1897 1898 1913 1912 2122 2123 2138 2137
1660 5 3 23 23 0 1898 1899 1914 1913 2123 2124 2139 2138
1661 5 3 23 23 0 1899 1900 1915 1914 2124 2125 2140 2139
1662 5 3 23 23 0 1900 1901 1916 1915 2125 2126 2141 2140
1663 5 3 23 23 0 1901 1902 1917 1916 2126 2127 2142 2141
1664 5 3 22 22 0 1902 1903 1918 1917 2127 2128 2143 2142
1665 5 3 22 22 0 1903 1904 1919 1918 2128 2129 2144 2143
1666 5 3 22 22 0 1904 1905 1920 1919 2129 2130 2145 2144
1667 5 3 27 27 0 1906 1907 1922 1921 2131 2132 2147 2146
1668 5 3 27 27 0 1907 1908 1923 1922 2132 2133 2148 2147
1669 5 3 27 27 0 1908 1909 1924 1923 2133 2134 2149 2148
1670 5 3 27 27 0 1909 1910 1925 1924 2134 2135 2150 2149
1671 5 3 30 30 0 1910 1911 1926 1925 2135 2136 2151 2150
1672 5 3 30 30 0 1911 1912 1927 1926 2136 2137 2152 2151
1673 5 3 30 30 0 1912 1913 1928 1927 2137 2138 2153 2152
1674 5 3 6 6 0 1913 1914 1929 1928 2138 2139 2154 2153
1675 5 3 23 23 0 1914 1915 1930 1929 2139 2140 2155 2154
1676 5 3 23 23 0 1915 1916 1931 1930 2140 2141 2156 2155
1677 5 3 15 15 0 1916 1917 1932 1931 2141 2142 2157 2156
1678 5 3 22 22 0 1917 1918 1933 1932 2142 2143 2158 2157
1679 5 3 22 22 0 1918 1919 1934 1933 2143 2144 2159 2158
1680 5 3 22 22 0 1919 1920 1935 1934 2144 2145 2160 2159
1681 5 3 27 27 0 1921 1922 1937 1936 2146 2147 2162 2161
1682 5 3 27 27 0 1922 1923 1938 1937 2147 2148 2163 2162
1683 5 3 27 27 0 1923 1924 1939 1938 2148 2149 2164 2163
1684 5 3 27 27 0 1924 1925 1940 1939 2149 2150 2165 2164
1685 5 3 27 27 0 1925 1926 1941 1940 2150 2151 2166 2165
1686 5 3 30 30 0 1926 1927 1942 1941 2151 2152 2167 2166
1687 5 3 6 6 0 1927 1928 1943 1942 2152 2153 2168 2167
1688 5 3 6 6 0 1928 1929 1944 1943 2153 2154 2169 2168
1689 5 3 6 6 0 1929 1930 1945 1944 2154 2155 2170 2169
1690 5 3 15 15 0 1930 1931 1946 1945 2155 2156 2171 2170
1691 5 3 15 15 0 1931 1932 1947 1946 2156 2157 2172 2171
1692 5 3 22 22 0 1932 1933 1948 1947 2157 2158 2173 2172
1693 5 3 22 22 0 1933 1934 1949 1948 2158 2159 2174 2173
1694 5 3 22 22 0 1934 1935 1950 1949 2159 2160 2175 2174
1695 5 3 27 27 0 1936 1937 1952 1951 2161 2162 2177 2176
1696 5 3 27 27 0 1937 1938 1953 1952 2162 2163 2178 2177
1697 5 3 27 27 0 1938 1939 1954 1953 2163 2164 2179 2178
1698 5 3 27 27 0 1939 1940 1955 1954 2164 2165 2180 2179
1699 5 3 27 27 0 1940 1941 1956 1955 2165 2166 2181 2180
1700 5 3 27 27 0 1941 1942 1957 1956 2166 2167 2182 2181
1701 5 3 6 6 0 1942 1943 1958 1957 2167 2168 2183 2182
1702 5 3 6 6 0 1943 1944 1959 1958 2168 2169 2184 2183
1703 5 3 6 6 0 1944 1945 1960 1959 2169 2170 2185 2184
1704 5 3 6 6 0 1945 1946 1961 1960 2170 2171 2186 2185
1705 5 3 10 10 0 1946 1947 1962 1961 2171 2172 2187 2186
1706 5 3 10 10 0 1947 1948 1963 1962 2172 2173 2188 2187
1707 5 3 10 10 0 1948 1949 1964 1963 2173 2174 2189 2188
1708 5 3 10 10 0 1949 1950 1965 1964 2174 2175 2190 2189
1709 5 3 27 27 0 1951 1952 1967 1966 2176 2177 2192 2191
1710 5 3 27 27 0 1952 1953 1968 1967 2177 2178 2193 2192
1711 5 3 27 27 0 1953 1954 1969 1968 2178 2179 2194 2193
1712 5 3 27 27 0 1954 1955 1970 1969 2179 2180 2195 2194
1713 5 3 27 27 0 1955 1956 1971 1970 2180 2181 2196 2195
1714 5 3 27 27 0 1956 1957 1972 1971 2181 2182 2197 2196
1715 5 3 17 17 0 1957 1958 1973 1972 2182 2183 2198 2197
1716 5 3 6 6 0 1958 1959 1974 1973 2183 2184 2199 2198
1717 5 3 6 6 0 1959 1960 1975 1974 2184 2185 2200 2199
1718 5 3 10 10 0 1960 1961 1976 1975 2185 2186 2201 2200
1719 5 3 10 10 0 1961 1962 1977 1976 2186 2187 2202 2201
1720 5 3 10 10 0 1962 1963 1978 1977 2187 2188 2203 2202
1721 5 3 10 10 0 1963 1964 1979 1978 2188 2189 2204 2203
1722 5 3 10 10 0 1964 1965 1980 1979 2189 2190 2205 2204
1723 5 3 27 27 0 1966 1967 1982 1981 2191 2192 2207 2206
1724 5 3 27 27 0 1967 1968 1983 1982 2192 2193 2208 2207
1725 5 3 27 27 0 1968 1969 1984 1983 2193 2194 2209 2208
1726 5 3 27 27 0 1969 1970 1985 1984 2194 2195 2210 2209
1727 5 3 27 27 0 1970 1971 1986 1985 2195 2196 2211 2210
1728 5 3 27 27 0 1971 1972 1987 1986 2196 2197 2212 2211
1729 5 3 4 4 0 1972 1973 1988 1987 2197 2198 2213 2212
1730 5 3 4 4 0 1973 1974 1989 1988 2198 2199 2214 2213
1731 5 3 4 4 0 1974 1975 1990 1989 2199 2200 2215 2214
1732 5 3 10 10 0 1975 1976 1991 1990 2200 2201 2216 2215
1733 5 3 10 10 0 1976 1977 1992 1991 2201 2202 2217 2216
1734 5 3 10 10 0 1977 1978 1993 1992 2202 2203 2218 2217
1735 5 3 10 10 0 1978 1979 1994 1993 2203 2204 2219 2218
1736 5 3 10 10 0 1979 1980 1995 1994 2204 2205 2220 2219
1737 5 3 27 27 0 1981 1982 1997 1996 2206 2207 2222 2221
1738 5 3 27 27 0 1982 1983 1998 1997 2207 2208 2223 2222
1739 5 3 27 27 0 1983 1984 1999 1998 2208 2209 2224 2223
1740 5 3 27 27 0 1984 1985 2000 1999 2209 2210 2225 2224
1741 5 3 27 27 0 1985 1986 2001 2000 2210 2211 2226 2225
1742 5 3 27 27 0 1986 1987 2002 2001 2211 2212 2227 2226
1743 5 3 4 4 0 1987 1988 2003 2002 2212 2213 2228 2227
1744 5 3 4 4 0 1988 1989 2004 2003 2213 2214 2229 2228
1745 5 3 4 4 0 1989 1990 2005 2004 2214 2215 2230 2229
1746 5 3 10 10 0 1990 1991 2006 2005 2215 2216 2231 2230
1747 5 3 10 10 0 1991 1992 2007 2006 2216 2217 2232 2231
1748 5 3 10 10 0 1992 1993 2008 2007 2217 2218 2233 2232
1749 5 3 10 10 0 1993 1994 2009 2008 2218 2219 2234 2233
1750 5 3 10 10 0 1994 1995 2010 2009 2219 2220 2235 2234
1751 5 3 27 27 0 1996 1997 2012 2011 2221 2222 2237 2236
1752 5 3 27 27 0 1997 1998 2013 2012 2222 2223 2238 2237
1753 5 3 27 27 0 1998 1999 2014 2013 2223 2224 2239 2238
1754 5 3 27 27 0 1999 2000 2015 2014 2224 2225 2240 2239
1755 5 3 27 27 0 2000 2001 2016 2015 2225 2226 2241 2240
1756 5 3 27 27 0 2001 2002 2017 2016 2226 2227 2242 2241
1757 5 3 4 4 0 2002 2003 2018 2017 2227 2228 2243 2242
1758 5 3 4 4 0 2003 2004 2019 2018 2228 2229 2244 2243
1759 5 3 4 4 0 2004 2005 2020 2019 2229 2230 2245 2244
1760 5 3 10 10 0 2005 2006 2021 2020 2230 2231 2246 2245
1761 5 3 10 10 0 2006 2007 2022 2021 2231 2232 2247 2246
1762 5 3 10 10 0 2007 2008 2023 2022 2232 2233 2248 2247
1763 5 3 10 10 0 2008 2009 2024 2023 2233 2234 2249 2248
1764 5 3 10 10 0 2009 2010 2025 2024 2234 2235 2250 2249
1765 5 3 2 2 0 2026 2027 2042 2041 2251 2252 2267 2266
1766 5 3 2 2 0 2027 2028 2043 2042 2252 2253 2268 2267
1767 5 3 2 2 0 2028 2029 2044 2043 2253 2254 2269 2268
1768 5 3 12 12 0 2029 2030 2045 2044 2254 2255 2270 2269
1769 5 3 12 12 0 2030 2031 2046 2045 2255 2256 2271 2270
1770 5 3 12 12 0 2031 2032 2047 2046 2256 2257 2272 2271
1771 5 3 12 12 0 2032 2033 2048 2047 2257 2258 2273 2272
1772 5 3 9 9 0 2033 2034 2049 2048 2258 2259 2274 2273
1773 5 3 9 9 0 2034 2035 2050 2049 2259 2260 2275 2274
1774 5 3 9 9 0 2035 2036 2051 2050 2260 2261 2276 2275
1775 5 3 21 21 0 2036 2037 2052 2051 2261 2262 2277 2276
1776 5 3 21 21 0 2037 2038 2053 2052 2262 2263 2278 2277
1777 5 3 21 21 0 2038 2039 2054 2053 2263 2264 2279 2278
1778 5 3 21 21 0 2039 2040 2055 2054 2264 2265 2280 2279
1779 5 3 2 2 0 2041 2042 2057 2056 2266 2267 2282 2281
1780 5 3 2 2 0 2042 2043 2058 2057 2267 2268 2283 2282
1781 5 3 2 2 0 2043 2044 2059 2058 2268 2269 2284 2283
1782 5 3 12 12 0 2044 2045 2060 2059 2269 2270 2285 2284
1783 5 3 12 12 0 2045 2046 2061 2060 2270 2271 2286 2285
1784 5 3 12 12 0 2046 2047 2062 2061 2271 2272 2287 2286
1785 5 3 12 12 0 2047 2048 2063 2062 2272 2273 2288 2287
1786 5 3 9 9 0 2048 2049 2064 2063 2273 2274 2289 2288
1787 5 3 9 9 0 2049 2050 2065 2064 2274 2275 2290 2289
1788 5 3 9 9 0 2050 2051 2066 2065 2275 2276 2291 2290
1789 5 3 21 21 0 2051 2052 2067 2066 2276 2277 2292 2291
1790 5 3 21 21 0 2052 2053 2068 2067 2277 2278 2293 2292
1791 5 3 21 21 0 2053 2054 2069 2068 2278 2279 2294 2293
1792 5 3 21 21 0 2054 2055 2070 2069 2279 2280 2295 2294
1793 5 3 2 2 0 2056 2057 2072 2071 2281 2282 2297 2296
1794 5 3 2 2 0 2057 2058 2073 2072 2282 2283 2298 2297
1795 5 3 2 2 0 2058 2059 2074 2073 2283 2284 2299 2298
1796 5 3 12 12 0 2059 2060 2075 2074 2284 2285 2300 2299
1797 5 3 12 12 0 2060 2061 2076 2075 2285 2286 2301 2300
1798 5 3 12 12 0 2061 2062 2077 2076 2286 2287 2302 2301
1799 5 3 12 12 0 2062 2063 2078 2077 2287 2288 2303 2302
1800 5 3 9 9 0 2063 2064 2079 2078 2288 2289 2304 2303
1801 5 3 9 9 0 2064 2065 2080 2079 2289 2290 2305 2304
1802 5 3 21 21 0 2065 2066 2081 2080 2290 2291 2306 2305
1803 5 3 21 21 0 2066 2067 2082 2081 2291 2292 2307 2306
1804 5 3 21 21 0 2067 2068 2083 2082 2292 2293 2308 2307
1805 5 3 21 21 0 2068 2069 2084 2083 2293 2294 2309 2308
1806 5 3 21 21 0 2069 2070 2085 2084 2294 2295 2310 2309
1807 5 3 2 2 0 2071 2072 2087 2086 2296 2297 2312 2311
1808 5 3 2 2 0 2072 2073 2088 2087 2297 2298 2313 2312
1809 5 3 2 2 0 2073 2074 2089 2088 2298 2299 2314 2313
1810 5 3 2 2 0 2074 2075 2090 2089 2299 2300 2315 2314
1811 5 3 12 12 0 2075 2076 2091 2090 2300 2301 2316 2315
1812 5 3 12 12 0 2076 2077 2092 2091 2301 2302 2317 2316
1813 5 3 12 12 0 2077 2078 2093 2092 2302 2303 2318 2317
1814 5 3 25 25 0 2078 2079 2094 2093 2303 2304 2319 2318
1815 5 3 23 23 0 2079 2080 2095 2094 2304 2305 2320 2319
1816 5 3 23 23 0 2080 2081 2096 2095 2305 2306 2321 2320
1817 5 3 21 21 0 2081 2082 2097 2096 2306 2307 2322 2321
1818 5 3 21 21 0 2082 2083 2098 2097 2307 2308 2323 2322
1819 5 3 21 21 0 2083 2084 2099 2098 2308 2309 2324 2323
1820 5 3 21 21 0 2084 2085 2100 2099 2309 2310 2325 2324
1821 5 3 2 2 0 2086 2087 2102 2101 2311 2312 2327 2326
1822 5 3 2 2 0 2087 2088 2103 2102 2312 2313 2328 2327
1823 5 3 2 2 0 2088 2089 2104 2103 2313 2314 2329 2328
1824 5 3 2 2 0 2089 2090 2105 2104 2314 2315 2330 2329
1825 5 3 12 12 0 2090 2091 2106 2105 2315 2316 2331 2330
1826 5 3 12 12 0 2091 2092 2107 2106 2316 2317 2332 2331
1827 5 3 12 12 0 2092 2093 2108 2107 2317 2318 2333 2332
1828 5 3 23 23 0 2093 2094 2109 2108 2318 2319 2334 2333
1829 5 3 23 23 0 2094 2095 2110 2109 2319 2320 2335 2334
1830 5 3 23 23 0 2095 2096 2111 2110 2320 2321 2336 2335
1831 5 3 23 23 0 2096 2097 2112 2111 2321 2322 2337 2336
1832 5 3 21 21 0 2097 2098 2113 2112 2322 2323 2338 2337
1833 5 3 21 21 0 2098 2099 2114 2113 2323 2324 2339 2338
1834 5 3 21 21 0 2099 2100 2115 2114 2324 2325 2340 2339
1835 5 3 28 28 0 2101 2102 2117 2116 2326 2327 2342 2341
1836 5 3 28 28 0 2102 2103 2118 2117 2327 2328 2343 2342
1837 5 3 28 28 0 2103 2104 2119 2118 2328 2329 2344 2343
1838 5 3 28 28 0 2104 2105 2120 2119 2329 2330 2345 2344
1839 5 3 28 28 0 2105 2106 2121 2120 2330 2331 2346 2345
1840 5 3 30 30 0 2106 2107 2122 2121 2331 2332 2347 2346
1841 5 3 30 30 0 2107 2108 2123 2122 2332 2333 2348 2347
1842 5 3 23 23 0 2108 2109 2124 2123 2333 2334 2349 2348
1843 5 3 23 23 0 2109 2110 2125 2124 2334 2335 2350 2349
1844 5 3 23 23 0 2110 2111 2126 2125 2335 2336 2351 2350
1845 5 3 23 23 0 2111 2112 2127 2126 2336 2337 2352 2351
1846 5 3 22 22 0 2112 2113 2128 2127 2337 2338 2353 2352
1847 5 3 22 22 0 2113 2114 2129 2128 2338 2339 2354 2353
1848 5 3 22 22 0 2114 2115 2130 2129 2339 2340 2355 2354
1849 5 3 28 28 0 2116 2117 2132 2131 2341 2342 2357 2356
1850 5 3 28 28 0 2117 2118 2133 2132 2342 2343 2358 2357
1851 5 3 28 28 0 2118 2119 2134 2133 2343 2344 2359 2358
1852 5 3 28 28 0 2119 2120 2135 2134 2344 2345 2360 2359
1853 5 3 28 28 0 2120 2121 2136 2135 2345 2346 2361 2360
1854 5 3 30 30 0 2121 2122 2137 2136 2346 2347 2362 2361
1855 5 3 30 30 0 2122 2123 2138 2137 2347 2348 2363 2362
1856 5 3 23 23 0 2123 2124 2139 2138 2348 2349 2364 2363
1857 5 3 23 23 0 2124 2125 2140 2139 2349 2350 2365 2364
1858 5 3 23 23 0 2125 2126 2141 2140 2350 2351 2366 2365
1859 5 3 23 23 0 2126 2127 2142 2141 2351 2352 2367 2366
1860 5 3 22 22 0 2127 2128 2143 2142 2352 2353 2368 2367
1861 5 3 22 22 0 2128 2129 2144 2143 2353 2354 2369 2368
1862 5 3 22 22 0 2129 2130 2145 2144 2354 2355 2370 2369
1863 5 3 28 28 0 2131 2132 2147 2146 2356 2357 2372 2371
1864 5 3 28 28 0 2132 2133 2148 2147 2357 2358 2373 2372
1865 5 3 28 28 0 2133 2134 2149 2148 2358 2359 2374 2373
1866 5 3 28 28 0 2134 2135 2150 2149 2359 2360 2375 2374
1867 5 3 28 28 0 2135 2136 2151 2150 2360 2361 2376 2375
1868 5 3 30 30 0 2136 2137 2152 2151 2361 2362 2377 2376
1869 5 3 30 30 0 2137 2138 2153 2152 2362 2363 2378 2377
1870 5 3 23 23 0 2138 2139 2154 2153 2363 2364 2379 2378
1871 5 3 23 23 0 2139 2140 2155 2154 2364 2365 2380 2379
1872 5 3 23 23 0 2140 2141 2156 2155 2365 2366 2381 2380
1873 5 3 15 15 0 2141 2142 2157 2156 2366 2367 2382 2381
1874 5 3 22 22 0 2142 2143 2158 2157 2367 2368 2383 2382
1875 5 3 22 22 0 2143 2144 2159 2158 2368 2369 2384 2383
1876 5 3 22 22 0 2144 2145 2160 2159 2369 2370 2385 2384
1877 5 3 27 27 0 2146 2147 2162 2161 2371 2372 2387 2386
1878 5 3 27 27 0 2147 2148 2163 2162 2372 2373 2388 2387
1879 5 3 27 27 0 2148 2149 2164 2163 2373 2374 2389 2388
1880 5 3 27 27 0 2149 2150 2165 2164 2374 2375 2390 2389
1881 5 3 27 27 0 2150 2151 2166 2165 2375 2376 2391 2390
1882 5 3 17 17 0 2151 2152 2167 2166 2376 2377 2392 2391
1883 5 3 17 17 0 2152 2153 2168 2167 2377 2378 2393 2392
1884 5 3 17 17 0 2153 2154 2169 2168 2378 2379 2394 2393
1885 5 3 17 17 0 2154 2155 2170 2169 2379 2380 2395 2394
1886 5 3 15 15 0 2155 2156 2171 2170 2380 2381 2396 2395
1887 5 3 15 15 0 2156 2157 2172 2171 2381 2382 2397 2396
1888 5 3 22 22 0 2157 2158 2173 2172 2382 2383 2398 2397
1889 5 3 22 22 0 2158 2159 2174 2173 2383 2384 2399 2398
1890 5 3 22 22 0 2159 2160 2175 2174 2384 2385 2400 2399
1891 5 3 27 27 0 2161 2162 2177 2176 2386 2387 2402 2401
1892 5 3 27 27 0 2162 2163 2178 2177 2387 2388 2403 2402
1893 5 3 27 27 0 2163 2164 2179 2178 2388 2389 2404 2403
1894 5 3 27 27 0 2164 2165 2180 2179 2389 2390 2405 2404
1895 5 3 27 27 0 2165 2166 2181 2180 2390 2391 2406 2405
1896 5 3 17 17 0 2166 2167 2182 2181 2391 2392 2407 2406
1897 5 3 17 17 0 2167 2168 2183 2182 2392 2393 2408 2407
1898 5 3 17 17 0 2168 2169 2184 2183 2393 2394 2409 2408
1899 5 3 17 17 0 2169 2170 2185 2184 2394 2395 2410 2409
1900 5 3 17 17 0 2170 2171 2186 2185 2395 2396 2411 2410
1901 5 3 15 15 0 2171 2172 2187 2186 2396 2397 2412 2411
1902 5 3 26 26 0 2172 2173 2188 2187 2397 2398 2413 2412
1903 5 3 26 26 0 2173 2174 2189 2188 2398 2399 2414 2413
1904 5 3 26 26 0 2174 2175 2190 2189 2399 2400 2415 2414
1905 5 3 27 27 0 2176 2177 2192 2191 2401 2402 2417 2416
1906 5 3 27 27 0 2177 2178 2193 2192 2402 2403 2418 2417
1907 5 3 27 27 0 2178 2179 2194 2193 2403 2404 2419 2418
1908 5 3 27 27 0 2179 2180 2195 2194 2404 2405 2420 2419
1909 5 3 27 27 0 2180 2181 2196 2195 2405 2406 2421 2420
1910 5 3 17 17 0 2181 2182 2197 2196 2406 2407 2422 2421
1911 5 3 17 17 0 2182 2183 2198 2197 2407 2408 2423 2422
1912 5 3 17 17 0 2183 2184 2199 2198 2408 2409 2424 2423
1913 5 3 17 17 0 2184 2185 2200 2199 2409 2410 2425 2424
1914 5 3 17 17 0 2185 2186 2201 2200 2410 2411 2426 2425
1915 5 3 10 10 0 2186 2187 2202 2201 2411 2412 2427 2426
1916 5 3 10 10 0 2187 2188 2203 2202 2412 2413 2428 2427
1917 5 3 26 26 0 2188 2189 2204 2203 2413 2414 2429 2428
1918 5 3 26 26 0 2189 2190 2205 2204 2414 2415 2430 2429
1919 5 3 27 27 0 2191 2192 2207 2206 2416 2417 2432 2431
1920 5 3 27 27 0 2192 2193 2208 2207 2417 2418 2433 2432
1921 5 3 27 27 0 2193 2194 2209 2208 2418 2419 2434 2433
1922 5 3 27 27 0 2194 2195 2210 2209 2419 2420 2435 2434
1923 5 3 27 27 0 2195 2196 2211 2210 2420 2421 2436 2435
1924 5 3 17 17 0 2196 2197 2212 2211 2421 2422 2437 2436
1925 5 3 17 17 0 2197 2198 2213 2212 2422 2423 2438 2437
1926 5 3 17 17 0 2198 2199 2214 2213 2423 2424 2439 2438
1927 5 3 17 17 0 2199 2200 2215 2214 2424 2425 2440 2439
1928 5 3 17 17 0 2200 2201 2216 2215 2425 2426 2441 2440
1929 5 3 10 10 0 2201 2202 2217 2216 2426 2427 2442 2441
1930 5 3 10 10 0 2202 2203 2218 2217 2427 2428 2443 2442
1931 5 3 10 10 0 2203 2204 2219 2218 2428 2429 2444 2443
1932 5 3 26 26 0 2204 2205 2220 2219 2429 2430 2445 2444
1933 5 3 27 27 0 2206 2207 2222 2221 2431 2432 2447 2446
1934 5 3 27 27 0 2207 2208 2223 2222 2432 2433 2448 2447
1935 5 3 27 27 0 2208 2209 2224 2223 2433 2434 2449 2448
1936 5 3 27 27 0 2209 2210 2225 2224 2434 2435 2450 2449
1937 5 3 27 27 0 2210 2211 2226 2225 2435 2436 2451 2450
1938 5 3 17 17 0 2211 2212 2227 2226 2436 2437 2452 2451
1939 5 3 17 17 0 2212 2213 2228 2227 2437 2438 2453 2452
1940 5 3 17 17 0 2213 2214 2229 2228 2438 2439 2454 2453
1941 5 3 17 17 0 2214 2215 2230 2229 2439 2440 2455 2454
1942 5 3 10 10 0 2215 2216 2231 2230 2440 2441 2456 2455
1943 5 3 10 10 0 2216 2217 2232 2231 2441 2442 2457 2456
1944 5 3 10 10 0 2217 2218 2233 2232 2442 2443 2458 2457
1945 5 3 10 10 0 2218 2219 2234 2233 2443 2444 2459 2458
1946 5 3 10 10 0 2219 2220 2235 2234 2444 2445 2460 2459
1947 5 3 27 27 0 2221 2222 2237 2236 2446 2447 2462 2461
1948 5 3 27 27 0 2222 2223 2238 2237 2447 2448 2463 2462
1949 5 3 27 27 0 2223 2224 2239 2238 2448 2449 2464 2463
1950 5 3 27 27 0 2224 2225 2240 2239 2449 2450 2465 2464
1951 5 3 27 27 0 2225 2226 2241 2240 2450 2451 2466 2465
1952 5 3 27 27 0 2226 2227 2242 2241 2451 2452 2467 2466
1953 5 3 17 17 0 2227 2228 2243 2242 2452 2453 2468 2467
1954 5 3 17 17 0 2228 2229 2244 2243 2453 2454 2469 2468
1955 5 3 17 17 0 2229 2230 2245 2244 2454 2455 2470 2469
1956 5 3 10 10 0 2230 2231 2246 2245 2455 2456 2471 2470
1957 5 3 10 10 0 2231 2232 2247 2246 2456 2457 2472 2471
1958 5 3 10 10 0 2232 2233 2248 2247 2457 2458 2473 2472
1959 5 3 10 10 0 2233 2234 2249 2248 2458 2459 2474 2473
1960 5 3 10 10 0 2234 2235 2250 2249 2459 2460 2475 2474
1961 5 3 7 7 0 2251 2252 2267 2266 2476 2477 2492 2491
1962 5 3 7 7 0 2252 2253 2268 2267 2477 2478 2493 2492
1963 5 3 7 7 0 2253 2254 2269 2268 2478 2479 2494 2493
1964 5 3 7 7 0 2254 2255 2270 2269 2479 2480 2495 2494
1965 5 3 12 12 0 2255 2256 2271 2270 2480 2481 2496 2495
1966 5 3 12 12 0 2256 2257 2272 2271 2481 2482 2497 2496
1967 5 3 25 25 0 2257 2258 2273 2272 2482 2483 2498 2497
1968 5 3 25 25 0 2258 2259 2274 2273 2483 2484 2499 2498
1969 5 3 25 25 0 2259 2260 2275 2274 2484 2485 2500 2499
1970 5 3 21 21 0 2260 2261 2276 2275 2485 2486 2501 2500
1971 5 3 21 21 0 2261 2262 2277 2276 2486 2487 2502 2501
1972 5 3 21 21 0 2262 2263 2278 2277 2487 2488 2503 2502
1973 5 3 21 21 0 2263 2264 2279 2278 2488 2489 2504 2503
1974 5 3 21 21 0 2264 2265 2280 2279 2489 2490 2505 2504
1975 5 3 7 7 0 2266 2267 2282 2281 2491 2492 2507 2506
1976 5 3 7 7 0 2267 2268 2283 2282 2492 2493 2508 2507
1977 5 3 7 7 0 2268 2269 2284 2283 2493 2494 2509 2508
1978 5 3 7 7 0 2269 2270 2285 2284 2494 2495 2510 2509
1979 5 3 12 12 0 2270 2271 2286 2285 2495 2496 2511 2510
1980 5 3 12 12 0 2271 2272 2287 2286 2496 2497 2512 2511
1981 5 3 25 25 0 2272 2273 2288 2287 2497 2498 2513 2512
1982 5 3 25 25 0 2273 2274 2289 2288 2498 2499 2514 2513
1983 5 3 25 25 0 2274 2275 2290 2289 2499 2500 2515 2514
1984 5 3 21 21 0 2275 2276 2291 2290 2500 2501 2516 2515
1985 5 3 21 21 0 2276 2277 2292 2291 2501 2502 2517 2516
1986 5 3 21 21 0 2277 2278 2293 2292 2502 2503 2518 2517
1987 5 3 21 21 0 2278 2279 2294 2293 2503 2504 2519 2518
1988 5 3 21 21 0 2279 2280 2295 2294 2504 2505 2520 2519
1989 5 3 7 7 0 2281 2282 2297 2296 2506 2507 2522 2521
1990 5 3 7 7 0 2282 2283 2298 2297 2507 2508 2523 2522
1991 5 3 7 7 0 2283 2284 2299 2298 2508 2509 2524 2523
1992 5 3 7 7 0 2284 2285 2300 2299 2509 2510 2525 2524
1993 5 3 12 12 0 2285 2286 2301 2300 2510 2511 2526 2525
1994 5 3 12 12 0 2286 2287 2302 2301 2511 2512 2527 2526
1995 5 3 25 25 0 2287 2288 2303 2302 2512 2513 2528 2527
1996 5 3 25 25 0 2288 2289 2304 2303 2513 2514 2529 2528
1997 5 3 25 25 0 2289 2290 2305 2304 2514 2515 2530 2529
1998 5 3 21 21 0 2290 2291 2306 2305 2515 2516 2531 2530
1999 5 3 21 21 0 2291 2292 2307 2306 2516 2517 2532 2531
2000 5 3 21 21 0 2292 2293 2308 2307 2517 2518 2533 2532
2001 5 3 21 21 0 2293 2294 2309 2308 2518 2519 2534 2533
2002 5 3 21 21 0 2294 2295 2310 2309 2519 2520 2535 2534
2003 5 3 7 7 0 2296 2297 2312 2311 2521 2522 2537 2536
2004 5 3 7 7 0 2297 2298 2313 2312 2522 2523 2538 2537
2005 5 3 7 7 0 2298 2299 2314 2313 2523 2524 2539 2538
2006 5 3 7 7 0 2299 2300 2315 2314 2524 2525 2540 2539
2007 5 3 12 12 0 2300 2301 2316 2315 2525 2526 2541 2540
2008 5 3 12 12 0 2301 2302 2317 2316 2526 2527 2542 2541
2009 5 3 25 25 0 2302 2303 2318 2317 2527 2528 2543 2542
2010 5 3 25 25 0 2303 2304 2319 2318 2528 2529 2544 2543
2011 5 3 25 25 0 2304 2305 2320 2319 2529 2530 2545 2544
2012 5 3 21 21 0 2305 2306 2321 2320 2530 2531 2546 2545
2013 5 3 21 21 0 2306 2307 2322 2321 2531 2532 2547 2546
2014 5 3 21 21 0 2307 2308 2323 2322 2532 2533 2548 2547
2015 5 3 21 21 0 2308 2309 2324 2323 2533 2534 2549 2548
2016 5 3 21 21 0 2309 2310 2325 2324 2534 2535 2550 2549
2017 5 3 7 7 0 2311 2312 2327 2326 2536 2537 2552 2551
2018 5 3 7 7 0 2312 2313 2328 2327 2537 2538 2553 2552
2019 5 3 7 7 0 2313 2314 2329 2328 2538 2539 2554 2553
2020 5 3 28 28 0 2314 2315 2330 2329 2539 2540 2555 2554
2021 5 3 12 12 0 2315 2316 2331 2330 2540 2541 2556 2555
2022 5 3 12 12 0 2316 2317 2332 2331 2541 2542 2557 2556
2023 5 3 25 25 0 2317 2318 2333 2332 2542 2543 2558 2557
2024 5 3 25 25 0 2318 2319 2334 2333 2543 2544 2559 2558
2025 5 3 25 25 0 2319 2320 2335 2334 2544 2545 2560 2559
2026 5 3 23 23 0 2320 2321 2336 2335 2545 2546 2561 2560
2027 5 3 21 21 0 2321 2322 2337 2336 2546 2547 2562 2561
2028 5 3 21 21 0 2322 2323 2338 2337 2547 2548 2563 2562
2029 5 3 21 21 0 2323 2324 2339 2338 2548 2549 2564 2563
2030 5 3 21 21 0 2324 2325 2340 2339 2549 2550 2565 2564
2031 5 3 28 28 0 2326 2327 2342 2341 2551 2552 2567 2566
2032 5 3 28 28 0 2327 2328 2343 2342 2552 2553 2568 2567
2033 5 3 28 28 0 2328 2329 2344 2343 2553 2554 2569 2568
2034 5 3 28 28 0 2329 2330 2345 2344 2554 2555 2570 2569
2035 5 3 28 28 0 2330 2331 2346 2345 2555 2556 2571 2570
2036 5 3 25 25 0 2331 2332 2347 2346 2556 2557 2572 2571
2037 5 3 25 25 0 2332 2333 2348 2347 2557 2558 2573 2572
2038 5 3 25 25 0 2333 2334 2349 2348 2558 2559 2574 2573
2039 5 3 23 23 0 2334 2335 2350 2349 2559 2560 2575 2574
2040 5 3 23 23 0 2335 2336 2351 2350 2560 2561 2576 2575
2041 5 3 3 3 0 2336 2337 2352 2351 2561 2562 2577 2576
2042 5 3 3 3 0 2337 2338 2353 2352 2562 2563 2578 2577
2043 5 3 21 21 0 2338 2339 2354 2353 2563 2564 2579 2578
2044 5 3 21 21 0 2339 2340 2355 2354 2564 2565 2580 2579
2045 5 3 28 28 0 2341 2342 2357 2356 2566 2567 2582 2581
2046 5 3 28 28 0 2342 2343 2358 2357 2567 2568 2583 2582
2047 5 3 28 28 0 2343 2344 2359 2358 2568 2569 2584 2583
2048 5 3 28 28 0 2344 2345 2360 2359 2569 2570 2585 2584
2049 5 3 28 28 0 2345 2346 2361 2360 2570 2571 2586 2585
2050 5 3 30 30 0 2346 2347 2362 2361 2571 2572 2587 2586
2051 5 3 17 17 0 2347 2348 2363 2362 2572 2573 2588 2587
2052 5 3 23 23 0 2348 2349 2364 2363 2573 2574 2589 2588
2053 5 3 23 23 0 2349 2350 2365 2364 2574 2575 2590 2589
2054 5 3 23 23 0 2350 2351 2366 2365 2575 2576 2591 2590
2055 5 3 3 3 0 2351 2352 2367 2366 2576 2577 2592 2591
2056 5 3 3 3 0 2352 2353 2368 2367 2577 2578 2593 2592
2057 5 3 3 3 0 2353 2354 2369 2368 2578 2579 2594 2593
2058 5 3 22 22 0 2354 2355 2370 2369 2579 2580 2595 2594
2059 5 3 28 28 0 2356 2357 2372 2371 2581 2582 2597 2596
2060 5 3 28 28 0 2357 2358 2373 2372 2582 2583 2598 2597
2061 5 3 28 28 0 2358 2359 2374 2373 2583 2584 2599 2598
2062 5 3 28 28 0 2359 2360 2375 2374 2584 2585 2600 2599
2063 5 3 28 28 0 2360 2361 2376 2375 2585 2586 2601 2600
2064 5 3 17 17 0 2361 2362 2377 2376 2586 2587 2602 2601
2065 5 3 17 17 0 2362 2363 2378 2377 2587 2588 2603 2602
2066 5 3 17 17 0 2363 2364 2379 2378 2588 2589 2604 2603
2067 5 3 17 17 0 2364 2365 2380 2379 2589 2590 2605 2604
2068 5 3 3 3 0 2365 2366 2381 2380 2590 2591 2606 2605
2069 5 3 3 3 0 2366 2367 2382 2381 2591 2592 2607 2606
2070 5 3 3 3 0 2367 2368 2383 2382 2592 2593 2608 2607
2071 5 3 3 3 0 2368 2369 2384 2383 2593 2594 2609 2608
2072 5 3 22 22 0 2369 2370 2385 2384 2594 2595 2610 2609
2073 5 3 29 29 0 2371 2372 2387 2386 2596 2597 2612 2611
2074 5 3 29 29 0 2372 2373 2388 2387 2597 2598 2613 2612
2075 5 3 28 28 0 2373 2374 2389 2388 2598 2599 2614 2613
2076 5 3 28 28 0 2374 2375 2390 2389 2599 2600 2615 2614
2077 5 3 17 17 0 2375 2376 2391 2390 2600 2601 2616 2615
2078 5 3 17 17 0 2376 2377 2392 2391 2601 2602 2617 2616
2079 5 3 17 17 0 2377 2378 2393 2392 2602 2603 2618 2617
2080 5 3 17 17 0 2378 2379 2394 2393 2603 2604 2619 2618
2081 5 3 17 17 0 2379 2380 2395 2394 2604 2605 2620 2619
2082 5 3 17 17 0 2380 2381 2396 2395 2605 2606 2621 2620
2083 5 3 3 3 0 2381 2382 2397 2396 2606 2607 2622 2621
2084 5 3 26 26 0 2382 2383 2398 2397 2607 2608 2623 2622
2085 5 3 26 26 0 2383 2384 2399 2398 2608 2609 2624 2623
2086 5 3 26 26 0 2384 2385 2400 2399 2609 2610 2625 2624
2087 5 3 29 29 0 2386 2387 2402 2401 2611 2612 2627 2626
2088 5 3 27 27 0 2387 2388 2403 2402 2612 2613 2628 2627
2089 5 3 27 27 0 2388 2389 2404 2403 2613 2614 2629 2628
2090 5 3 27 27 0 2389 2390 2405 2404 2614 2615 2630 2629
2091 5 3 17 17 0 2390 2391 2406 2405 2615 2616 2631 2630
2092 5 3 17 17 0 2391 2392 2407 2406 2616 2617 2632 2631
2093 5 3 17 17 0 2392 2393 2408 2407 2617 2618 2633 2632
2094 5 3 17 17 0 2393 2394 2409 2408 2618 2619 2634 2633
2095 5 3 17 17 0 2394 2395 2410 2409 2619 2620 2635 2634
2096 5 3 17 17 0 2395 2396 2411 2410 2620 2621 2636 2635
2097 5 3 26 26 0 2396 2397 2412 2411 2621 2622 2637 2636
2098 5 3 26 26 0 2397 2398 2413 2412 2622 2623 2638 2637
2099 5 3 26 26 0 2398 2399 2414 2413 2623 2624 2639 2638
2100 5 3 26 26 0 2399 2400 2415 2414 2624 2625 2640 2639
2101 5 3 29 29 0 2401 2402 2417 2416 2626 2627 2642 2641
2102 5 3 27 27 0 2402 2403 2418 2417 2627 2628 2643 2642
2103 5 3 27 27 0 2403 2404 2419 2418 2628 2629 2644 2643
2104 5 3 27 27 0 2404 2405 2420 2419 2629 2630 2645 2644
2105 5 3 17 17 0 2405 2406 2421 2420 2630 2631 2646 2645
2106 5 3 17 17 0 2406 2407 2422 2421 2631 2632 2647 2646
2107 5 3 17 17 0 2407 2408 2423 2422 2632 2633 2648 2647
2108 5 3 17 17 0 2408 2409 2424 2423 2633 2634 2649 2648
2109 5 3 17 17 0 2409 2410 2425 2424 2634 2635 2650 2649
2110 5 3 17 17 0 2410 2411 2426 2425 2635 2636 2651 2650
2111 5 3 26 26 0 2411 2412 2427 2426 2636 2637 2652 2651
2112 5 3 26 26 0 2412 2413 2428 2427 2637 2638 2653 2652
2113 5 3 26 26 0 2413 2414 2429 2428 2638 2639 2654 2653
2114 5 3 26 26 0 2414 2415 2430 2429 2639 2640 2655 2654
2115 5 3 27 27 0 2416 2417 2432 2431 2641 2642 2657 2656
2116 5 3 27 27 0 2417 2418 2433 2432 2642 2643 2658 2657
2117 5 3 27 27 0 2418 2419 2434 2433 2643 2644 2659 2658
2118 5 3 27 27 0 2419 2420 2435 2434 2644 2645 2660 2659
2119 5 3 17 17 0 2420 2421 2436 2435 2645 2646 2661 2660
2120 5 3 17 17 0 2421 2422 2437 2436 2646 2647 2662 2661
2121 5 3 17 17 0 2422 2423 2438 2437 2647 2648 2663 2662
2122 5 3 17 17 0 2423 2424 2439 2438 2648 2649 2664 2663
2123 5 3 17 17 0 2424 2425 2440 2439 2649 2650 2665 2664
2124 5 3 17 17 0 2425 2426 2441 2440 2650 2651 2666 2665
2125 5 3 26 26 0 2426 2427 2442 2441 2651 2652 2667 2666
2126 5 3 26 26 0 2427 2428 2443 2442 2652 2653 2668 2667
2127 5 3 26 26 0 2428 2429 2444 2443 2653 2654 2669 2668
2128 5 3 26 26 0 2429 2430 2445 2444 2654 2655 2670 2669
2129 5 3 27 27 0 2431 2432 2447 2446 2656 2657 2672 2671
2130 5 3 27 27 0 2432 2433 2448 2447 2657 2658 2673 2672
2131 5 3 27 27 0 2433 2434 2449 2448 2658 2659 2674 2673
2132 5 3 27 27 0 2434 2435 2450 2449 2659 2660 2675 2674
2133 5 3 17 17 0 2435 2436 2451 2450 2660 2661 2676 2675
2134 5 3 17 17 0 2436 2437 2452 2451 2661 2662 2677 2676
2135 5 3 17 17 0 2437 2438 2453 2452 2662 2663 2678 2677
2136 5 3 17 17 0 2438 2439 2454 2453 2663 2664 2679 2678
2137 5 3 17 17 0 2439 2440 2455 2454 2664 2665 2680 2679
2138 5 3 17 17 0 2440 2441 2456 2455 2665 2666 2681 2680
2139 5 3 26 26 0 2441 2442 2457 2456 2666 2667 2682 2681
2140 5 3 26 26 0 2442 2443 2458 2457 2667 2668 2683 2682
2141 5 3 26 26 0 2443 2444 2459 2458 2668 2669 2684 2683
2142 5 3 26 26 0 2444 2445 2460 2459 2669 2670 2685 2684
2143 5 3 27 27 0 2446 2447 2462 2461 2671 2672 2687 2686
2144 5 3 27 27 0 2447 2448 2463 2462 2672 2673 2688 2687
2145 5 3 27 27 0 2448 2449 2464 2463 2673 2674 2689 2688
2146 5 3 27 27 0 2449 2450 2465 2464 2674 2675 2690 2689
2147 5 3 17 17 0 2450 2451 2466 2465 2675 2676 2691 2690
2148 5 3 17 17 0 2451 2452 2467 2466 2676 2677 2692 2691
2149 5 3 17 17 0 2452 2453 2468 2467 2677 2678 2693 2692
2150 5 3 17 17 0 2453 2454 2469 2468 2678 2679 2694 2693
2151 5 3 17 17 0 2454 2455 2470 2469 2679 2680 2695 2694
2152 5 3 17 17 0 2455 2456 2471 2470 2680 2681 2696 2695
2153 5 3 26 26 0 2456 2457 2472 2471 2681 2682 2697 2696
2154 5 3 26 26 0 2457 2458 2473 2472 2682 2683 2698 2697
2155 5 3 26 26 0 2458 2459 2474 2473 2683 2684 2699 2698
2156 5 3 26 26 0 2459 2460 2475 2474 2684 2685 2700 2699
2157 5 3 7 7 0 2476 2477 2492 2491 2701 2702 2717 2716
2158 5 3 7 7 0 2477 2478 2493 2492 2702 2703 2718 2717
2159 5 3 7 7 0 2478 2479 2494 2493 2703 2704 2719 2718
2160 5 3 7 7 0 2479 2480 2495 2494 2704 2705 2720 2719
2161 5 3 7 7 0 2480 2481 2496 2495 2705 2706 2721 2720
2162 5 3 25 25 0 2481 2482 2497 2496 2706 2707 2722 2721
2163 5 3 25 25 0 2482 2483 2498 2497 2707 2708 2723 2722
2164 5 3 25 25 0 2483 2484 2499 2498 2708 2709 2724 2723
2165 5 3 25 25 0 2484 2485 2500 2499 2709 2710 2725 2724
2166 5 3 21 21 0 2485 2486 2501 2500 2710 2711 2726 2725
2167 5 3 21 21 0 2486 2487 2502 2501 2711 2712 2727 2726
2168 5 3 21 21 0 2487 2488 2503 2502 2712 2713 2728 2727
2169 5 3 21 21 0 2488 2489 2504 2503 2713 2714 2729 2728
2170 5 3 21 21 0 2489 2490 2505 2504 2714 2715 2730 2729
2171 5 3 7 7 0 2491 2492 2507 2506 2716 2717 2732 2731
2172 5 3 7 7 0 2492 2493 2508 2507 2717 2718 2733 2732
2173 5 3 7 7 0 2493 2494 2509 2508 2718 2719 2734 2733
2174 5 3 7 7 0 2494 2495 2510 2509 2719 2720 2735 2734
2175 5 3 7 7 0 2495 2496 2511 2510 2720 2721 2736 2735
2176 5 3 25 25 0 2496 2497 2512 2511 2721 2722 2737 2736
2177 5 3 25 25 0 2497 2498 2513 2512 2722 2723 2738 2737
2178 5 3 25 25 0 2498 2499 2514 2513 2723 2724 2739 2738
2179 5 3 25 25 0 2499 2500 2515 2514 2724 2725 2740 2739
2180 5 3 21 21 0 2500 2501 2516 2515 2725 2726 2741 2740
2181 5 3 21 21 0 2501 2502 2517 2516 2726 2727 2742 2741
2182 5 3 21 21 0 2502 2503 2518 2517 2727 2728 2743 2742
2183 5 3 21 21 0 2503 2504 2519 2518 2728 2729 2744 2743
2184 5 3 21 21 0 2504 2505 2520 2519 2729 2730 2745 2744
2185 5 3 7 7 0 2506 2507 2522 2521 2731 2732 2747 2746
2186 5 3 7 7 0 2507 2508 2523 2522 2732 2733 2748 2747
2187 5 3 7 7 0 2508 2509 2524 2523 2733 2734 2749 2748
2188 5 3 7 7 0 2509 2510 2525 2524 2734 2735 2750 2749
2189 5 3 7 7 0 2510 2511 2526 2525 2735 2736 2751 2750
2190 5 3 25 25 0 2511 2512 2527 2526 2736 2737 2752 2751
2191 5 3 25 25 0 2512 2513 2528 2527 2737 2738 2753 2752
2192 5 3 25 25 0 2513 2514 2529 2528 2738 2739 2754 2753
2193 5 3 25 25 0 2514 2515 2530 2529 2739 2740 2755 2754
2194 5 3 21 21 0 2515 2516 2531 2530 2740 2741 2756 2755
2195 5 3 21 21 0 2516 2517 2532 2531 2741 2742 2757 2756
2196 5 3 21 21 0 2517 2518 2533 2532 2742 2743 2758 2757
2197 5 3 21 21 0 2518 2519 2534 2533 2743 2744 2759 2758
2198 5 3 21 21 0 2519 2520 2535 2534 2744 2745 2760 2759
2199 5 3 7 7 0 2521 2522 2537 2536 2746 2747 2762 2761
2200 5 3 7 7 0 2522 2523 2538 2537 2747 2748 2763 2762
2201 5 3 7 7 0 2523 2524 2539 2538 2748 2749 2764 2763
2202 5 3 7 7 0 2524 2525 2540 2539 2749 2750 2765 2764
2203 5 3 7 7 0 2525 2526 2541 2540 2750 2751 2766 2765
2204 5 3 25 25 0 2526 2527 2542 2541 2751 2752 2767 2766
2205 5 3 25 25 0 2527 2528 2543 2542 2752 2753 2768 2767
2206 5 3 25 25 0 2528 2529 2544 2543 2753 2754 2769 2768
2207 5 3 25 25 0 2529 2530 2545 2544 2754 2755 2770 2769
2208 5 3 25 25 0 2530 2531 2546 2545 2755 2756 2771 2770
2209 5 3 21 21 0 2531 2532 2547 2546 2756 2757 2772 2771
2210 5 3 21 21 0 2532 2533 2548 2547 2757 2758 2773 2772
2211 5 3 21 21 0 2533 2534 2549 2548 2758 2759 2774 2773
2212 5 3 21 21 0 2534 2535 2550 2549 2759 2760 2775 2774
2213 5 3 7 7 0 2536 2537 2552 2551 2761 2762 2777 2776
2214 5 3 7 7 0 2537 2538 2553 2552 2762 2763 2778 2777
2215 5 3 7 7 0 2538 2539 2554 2553 2763 2764 2779 2778
2216 5 3 7 7 0 2539 2540 2555 2554 2764 2765 2780 2779
2217 5 3 7 7 0 2540 2541 2556 2555 2765 2766 2781 2780
2218 5 3 25 25 0 2541 2542 2557 2556 2766 2767 2782 2781
2219 5 3 25 25 0 2542 2543 2558 2557 2767 2768 2783 2782
2220 5 3 25 25 0 2543 2544 2559 2558 2768 2769 2784 2783
2221 5 3 25 25 0 2544 2545 2560 2559 2769 2770 2785 2784
2222 5 3 25 25 0 2545 2546 2561 2560 2770 2771 2786 2785
2223 5 3 21 21 0 2546 2547 2562 2561 2771 2772 2787 2786
2224 5 3 21 21 0 2547 2548 2563 2562 2772 2773 2788 2787
2225 5 3 21 21 0 2548 2549 2564 2563 2773 2774 2789 2788
2226 5 3 21 21 0 2549 2550 2565 2564 2774 2775 2790 2789
2227 5 3 7 7 0 2551 2552 2567 2566 2776 2777 2792 2791
2228 5 3 7 7 0 2552 2553 2568 2567 2777 2778 2793 2792
2229 5 3 7 7 0 2553 2554 2569 2568 2778 2779 2794 2793
2230 5 3 28 28 0 2554 2555 2570 2569 2779 2780 2795 2794
2231 5 3 28 28 0 2555 2556 2571 2570 2780 2781 2796 2795
2232 5 3 25 25 0 2556 2557 2572 2571 2781 2782 2797 2796
2233 5 3 25 25 0 2557 2558 2573 2572 2782 2783 2798 2797
2234 5 3 25 25 0 2558 2559 2574 2573 2783 2784 2799 2798
2235 5 3 25 25 0 2559 2560 2575 2574 2784 2785 2800 2799
2236 5 3 3 3 0 2560 2561 2576 2575 2785 2786 2801 2800
2237 5 3 3 3 0 2561 2562 2577 2576 2786 2787 2802 2801
2238 5 3 3 3 0 2562 2563 2578 2577 2787 2788 2803 2802
2239 5 3 3 3 0 2563 2564 2579 2578 2788 2789 2804 2803
2240 5 3 3 3 0 2564 2565 2580 2579 2789 2790 2805 2804
2241 5 3 28 28 0 2566 2567 2582 2581 2791 2792 2807 2806
2242 5 3 28 28 0 2567 2568 2583 2582 2792 2793 2808 2807
2243 5 3 28 28 0 2568 2569 2584 2583 2793 2794 2809 2808
2244 5 3 28 28 0 2569 2570 2585 2584 2794 2795 2810 2809
2245 5 3 28 28 0 2570 2571 2586 2585 2795 2796 2811 2810
2246 5 3 17 17 0 2571 2572 2587 2586 2796 2797 2812 2811
2247 5 3 17 17 0 2572 2573 2588 2587 2797 2798 2813 2812
2248 5 3 17 17 0 2573 2574 2589 2588 2798 2799 2814 2813
2249 5 3 25 25 0 2574 2575 2590 2589 2799 2800 2815 2814
2250 5 3 3 3 0 2575 2576 2591 2590 2800 2801 2816 2815
2251 5 3 3 3 0 2576 2577 2592 2591 2801 2802 2817 2816
2252 5 3 3 3 0 2577 2578 2593 2592 2802 2803 2818 2817
2253 5 3 3 3 0 2578 2579 2594 2593 2803 2804 2819 2818
2254 5 3 3 3 0 2579 2580 2595 2594 2804 2805 2820 2819
2255 5 3 29 29 0 2581 2582 2597 2596 2806 2807 2822 2821
2256 5 3 29 29 0 2582 2583 2598 2597 2807 2808 2823 2822
2257 5 3 28 28 0 2583 2584 2599 2598 2808 2809 2824 2823
2258 5 3 28 28 0 2584 2585 2600 2599 2809 2810 2825 2824
2259 5 3 17 17 0 2585 2586 2601 2600 2810 2811 2826 2825
2260 5 3 17 17 0 2586 2587 2602 2601 2811 2812 2827 2826
2261 5 3 17 17 0 2587 2588 2603 2602 2812 2813 2828 2827
2262 5 3 17 17 0 2588 2589 2604 2603 2813 2814 2829 2828
2263 5 3 17 17 0 2589 2590 2605 2604 2814 2815 2830 2829
2264 5 3 3 3 0 2590 2591 2606 2605 2815 2816 2831 2830
2265 5 3 3 3 0 2591 2592 2607 2606 2816 2817 2832 2831
2266 5 3 3 3 0 2592 2593 2608 2607 2817 2818 2833 2832
2267 5 3 3 3 0 2593 2594 2609 2608 2818 2819 2834 2833
2268 5 3 3 3 0 2594 2595 2610 2609 2819 2820 2835 2834
2269 5 3 29 29 0 2596 2597 2612 2611 2821 2822 2837 2836
2270 5 3 29 29 0 2597 2598 2613 2612 2822 2823 2838 2837
2271 5 3 29 29 0 2598 2599 2614 2613 2823 2824 2839 2838
2272 5 3 17 17 0 2599 2600 2615 2614 2824 2825 2840 2839
2273 5 3 17 17 0 2600 2601 2616 2615 2825 2826 2841 2840
2274 5 3 17 17 0 2601 2602 2617 2616 2826 2827 2842 2841
2275 5 3 17 17 0 2602 2603 2618 2617 2827 2828 2843 2842
2276 5 3 17 17 0 2603 2604 2619 2618 2828 2829 2844 2843
2277 5 3 17 17 0 2604 2605 2620 2619 2829 2830 2845 2844
2278 5 3 17 17 0 2605 2606 2621 2620 2830 2831 2846 2845
2279 5 3 3 3 0 2606 2607 2622 2621 2831 2832 2847 2846
2280 5 3 3 3 0 2607 2608 2623 2622 2832 2833 2848 2847
2281 5 3 26 26 0 2608 2609 2624 2623 2833 2834 2849 2848
2282 5 3 26 26 0 2609 2610 2625 2624 2834 2835 2850 2849
2283 5 3 29 29 0 2611 2612 2627 2626 2836 2837 2852 2851
2284 5 3 29 29 0 2612 2613 2628 2627 2837 2838 2853 2852
2285 5 3 29 29 0 2613 2614 2629 2628 2838 2839 2854 2853
2286 5 3 29 29 0 2614 2615 2630 2629 2839 2840 2855 2854
2287 5 3 17 17 0 2615 2616 2631 2630 2840 2841 2856 2855
2288 5 3 17 17 0 2616 2617 2632 2631 2841 2842 2857 2856
2289 5 3 17 17 0 2617 2618 2633 2632 2842 2843 2858 2857
2290 5 3 17 17 0 2618 2619 2634 2633 2843 2844 2859 2858
2291 5 3 17 17 0 2619 2620 2635 2634 2844 2845 2860 2859
2292 5 3 17 17 0 2620 2621 2636 2635 2845 2846 2861 2860
2293 5 3 26 26 0 2621 2622 2637 2636 2846 2847 2862 2861
2294 5 3 26 26 0 2622 2623 2638 2637 2847 2848 2863 2862
2295 5 3 26 26 0 2623 2624 2639 2638 2848 2849 2864 2863
2296 5 3 26 26 0 2624 2625 2640 2639 2849 2850 2865 2864
2297 5 3 29 29 0 2626 2627 2642 2641 2851 2852 2867 2866
2298 5 3 29 29 0 2627 2628 2643 2642 2852 2853 2868 2867
2299 5 3 29 29 0 2628 2629 2644 2643 2853 2854 2869 2868
2300 5 3 29 29 0 2629 2630 2645 2644 2854 2855 2870 2869
2301 5 3 17 17 0 2630 2631 2646 2645 2855 2856 2871 2870
2302 5 3 17 17 0 2631 2632 2647 2646 2856 2857 2872 2871
2303 5 3 17 17 0 2632 2633 2648 2647 2857 2858 2873 2872
2304 5 3 17 17 0 2633 2634 2649 2648 2858 2859 2874 2873
2305 5 3 17 17 0 2634 2635 2650 2649 2859 2860 2875 2874
2306 5 3 17 17 0 2635 2636 2651 2650 2860 2861 2876 2875
2307 5 3 26 26 0 2636 2637 2652 2651 2861 2862 2877 2876
2308 5 3 26 26 0 2637 2638 2653 2652 2862 2863 2878 2877
2309 5 3 26 26 0 2638 2639 2654 2653 2863 2864 2879 2878
2310 5 3 26 26 0 2639 2640 2655 2654 2864 2865 2880 2879
2311 5 3 29 29 0 2641 2642 2657 2656 2866 2867 2882 2881
2312 5 3 29 29 0 2642 2643 2658 2657 2867 2868 2883 2882
2313 5 3 29 29 0 2643 2644 2659 2658 2868 2869 2884 2883
2314 5 3 29 29 0 2644 2645 2660 2659 2869 2870 2885 2884
2315 5 3 17 17 0 2645 2646 2661 2660 2870 2871 2886 2885
2316 5 3 17 17 0 2646 2647 2662 2661 2871 2872 2887 2886
2317 5 3 17 17 0 2647 2648 2663 2662 2872 2873 2888 2887
2318 5 3 17 17 0 2648 2649 2664 2663 2873 2874 2889 2888
2319 5 3 17 17 0 2649 2650 2665 2664 2874 2875 2890 2889
2320 5 3 17 17 0 2650 2651 2666 2665 2875 2876 2891 2890
2321 5 3 26 26 0 2651 2652 2667 2666 2876 2877 2892 2891
2322 5 3 26 26 0 2652 2653 2668 2667 2877 2878 2893 2892
2323 5 3 26 26 0 2653 2654 2669 2668 2878 2879 2894 2893
2324 5 3 26 26 0 2654 2655 2670 2669 2879 2880 2895 2894
2325 5 3 29 29 0 2656 2657 2672 2671 2881 2882 2897 2896
2326 5 3 29 29 0 2657 2658 2673 2672 2882 2883 2898 2897
2327 5 3 29 29 0 2658 2659 2674 2673 2883 2884 2899 2898
2328 5 3 29 29 0 2659 2660 2675 2674 2884 2885 2900 2899
2329 5 3 17 17 0 2660 2661 2676 2675 2885 2886 2901 2900
2330 5 3 17 17 0 2661 2662 2677 2676 2886 2887 2902 2901
2331 5 3 17 17 0 2662 2663 2678 2677 2887 2888 2903 2902
2332 5 3 17 17 0 2663 2664 2679 2678 2888 2889 2904 2903
2333 5 3 17 17 0 2664 2665 2680 2679 2889 2890 2905 2904
2334 5 3 17 17 0 2665 2666 2681 2680 2890 2891 2906 2905
2335 5 3 26 26 0 2666 2667 2682 2681 2891 2892 2907 2906
2336 5 3 26 26 0 2667 2668 2683 2682 2892 2893 2908 2907
2337 5 3 26 26 0 2668 2669 2684 2683 2893 2894 2909 2908
2338 5 3 26 26 0 2669 2670 2685 2684 2894 2895 2910 2909
2339 5 3 29 29 0 2671 2672 2687 2686 2896 2897 2912 2911
2340 5 3 29 29 0 2672 2673 2688 2687 2897 2898 2913 2912
2341 5 3 29 29 0 2673 2674 2689 2688 2898 2899 2914 2913
2342 5 3 29 29 0 2674 2675 2690 2689 2899 2900 2915 2914
2343 5 3 17 17 0 2675 2676 2691 2690 2900 2901 2916 2915
2344 5 3 17 17 0 2676 2677 2692 2691 2901 2902 2917 2916
2345 5 3 17 17 0 2677 2678 2693 2692 2902 2903 2918 2917
2346 5 3 17 17 0 2678 2679 2694 2693 2903 2904 2919 2918
2347 5 3 17 17 0 2679 2680 2695 2694 2904 2905 2920 2919
2348 5 3 17 17 0 2680 2681 2696 2695 2905 2906 2921 2920
2349 5 3 26 26 0 2681 2682 2697 2696 2906 2907 2922 2921
2350 5 3 26 26 0 2682 2683 2698 2697 2907 2908 2923 2922
2351 5 3 26 26 0 2683 2684 2699 2698 2908 2909 2924 2923
2352 5 3 26 26 0 2684 2685 2700 2699 2909 2910 2925 2924
2353 5 3 7 7 0 2701 2702 2717 2716 2926 2927 2942 2941
2354 5 3 7 7 0 2702 2703 2718 2717 2927 2928 2943 2942
2355 5 3 7 7 0 2703 2704 2719 2718 2928 2929 2944 2943
2356 5 3 7 7 0 2704 2705 2720 2719 2929 2930 2945 2944
2357 5 3 7 7 0 2705 2706 2721 2720 2930 2931 2946 2945
2358 5 3 25 25 0 2706 2707 2722 2721 2931 2932 2947 2946
2359 5 3 25 25 0 2707 2708 2723 2722 2932 2933 2948 2947
2360 5 3 25 25 0 2708 2709 2724 2723 2933 2934 2949 2948
2361 5 3 25 25 0 2709 2710 2725 2724 2934 2935 2950 2949
2362 5 3 21 21 0 2710 2711 2726 2725 2935 2936 2951 2950
2363 5 3 21 21 0 2711 2712 2727 2726 2936 2937 2952 2951
2364 5 3 21 21 0 2712 2713 2728 2727 2937 2938 2953 2952
2365 5 3 21 21 0 2713 2714 2729 2728 2938 2939 2954 2953
2366 5 3 21 21 0 2714 2715 2730 2729 2939 2940 2955 2954
2367 5 3 7 7 0 2716 2717 2732 2731 2941 2942 2957 2956
2368 5 3 7 7 0 2717 2718 2733 2732 2942 2943 2958 2957
2369 5 3 7 7 0 2718 2719 2734 2733 2943 2944 2959 2958
2370 5 3 7 7 0 2719 2720 2735 2734 2944 2945 2960 2959
2371 5 3 7 7 0 2720 2721 2736 2735 2945 2946 2961 2960
2372 5 3 25 25 0 2721 2722 2737 2736 2946 2947 2962 2961
2373 5 3 25 25 0 2722 2723 2738 2737 2947 2948 2963 2962
2374 5 3 25 25 0 2723 2724 2739 2738 2948 2949 2964 2963
2375 5 3 25 25 0 2724 2725 2740 2739 2949 2950 2965 2964
2376 5 3 21 21 0 2725 2726 2741 2740 2950 2951 2966 2965
2377 5 3 21 21 0 2726 2727 2742 2741 2951 2952 2967 2966
2378 5 3 21 21 0 2727 2728 2743 2742 2952 2953 2968 2967
2379 5 3 21 21 0 2728 2729 2744 2743 2953 2954 2969 2968
2380 5 3 21 21 0 2729 2730 2745 2744 2954 2955 2970 2969
2381 5 3 7 7 0 2731 2732 2747 2746 2956 2957 2972 2971
2382 5 3 7 7 0 2732 2733 2748 2747 2957 2958 2973 2972
2383 5 3 7 7 0 2733 2734 2749 2748 2958 2959 2974 2973
2384 5 3 7 7 0 2734 2735 2750 2749 2959 2960 2975 2974
2385 5 3 7 7 0 2735 2736 2751 2750 2960 2961 2976 2975
2386 5 3 25 25 0 2736 2737 2752 2751 2961 2962 2977 2976
2387 5 3 25 25 0 2737 2738 2753 2752 2962 2963 2978 2977
2388 5 3 25 25 0 2738 2739 2754 2753 2963 2964 2979 2978
2389 5 3 25 25 0 2739 2740 2755 2754 2964 2965 2980 2979
2390 5 3 25 25 0 2740 2741 2756 2755 2965 2966 2981 2980
2391 5 3 21 21 0 2741 2742 2757 2756 2966 2967 2982 2981
2392 5 3 21 21 0 2742 2743 2758 2757 2967 2968 2983 2982
2393 5 3 21 21 0 2743 2744 2759 2758 2968 2969 2984 2983
2394 5 3 21 21 0 2744 2745 2760 2759 2969 2970 2985 2984
2395 5 3 7 7 0 2746 2747 2762 2761 2971 2972 2987 2986
2396 5 3 7 7 0 2747 2748 2763 2762 2972 2973 2988 2987
2397 5 3 7 7 0 2748 2749 2764 2763 2973 2974 2989 2988
2398 5 3 7 7 0 2749 2750 2765 2764 2974 2975 2990 2989
2399 5 3 7 7 0 2750 2751 2766 2765 2975 2976 2991 2990
2400 5 3 25 25 0 2751 2752 2767 2766 2976 2977 2992 2991
2401 5 3 25 25 0 2752 2753 2768 2767 2977 2978 2993 2992
2402 5 3 25 25 0 2753 2754 2769 2768 2978 2979 2994 2993
2403 5 3 25 25 0 2754 2755 2770 2769 2979 2980 2995 2994
2404 5 3 25 25 0 2755 2756 2771 2770 2980 2981 2996 2995
2405 5 3 21 21 0 2756 2757 2772 2771 2981 2982 2997 2996
2406 5 3 21 21 0 2757 2758 2773 2772 2982 2983 2998 2997
2407 5 3 21 21 0 2758 2759 2774 2773 2983 2984 2999 2998
2408 5 3 21 21 0 2759 2760 2775 2774 2984 2985 3000 2999
2409 5 3 7 7 0 2761 2762 2777 2776 2986 2987 3002 3001
2410 5 3 7 7 0 2762 2763 2778 2777 2987 2988 3003 3002
2411 5 3 7 7 0 2763 2764 2779 2778 2988 2989 3004 3003
2412 5 3 7 7 0 2764 2765 2780 2779 2989 2990 3005 3004
2413 5 3 7 7 0 2765 2766 2781 2780 2990 2991 3006 3005
2414 5 3 25 25 0 2766 2767 2782 2781 2991 2992 3007 3006
2415 5 3 25 25 0 2767 2768 2783 2782 2992 2993 3008 3007
2416 5 3 25 25 0 2768 2769 2784 2783 2993 2994 3009 3008
2417 5 3 25 25 0 2769 2770 2785 2784 2994 2995 3010 3009
2418 5 3 25 25 0 2770 2771 2786 2785 2995 2996 3011 3010
2419 5 3 21 21 0 2771 2772 2787 2786 2996 2997 3012 3011
2420 5 3 21 21 0 2772 2773 2788 2787 2997 2998 3013 3012
2421 5 3 21 21 0 2773 2774 2789 2788 2998 2999 3014 3013
2422 5 3 21 21 0 2774 2775 2790 2789 2999 3000 3015 3014
2423 5 3 7 7 0 2776 2777 2792 2791 3001 3002 3017 3016
2424 5 3 7 7 0 2777 2778 2793 2792 3002 3003 3018 3017
2425 5 3 7 7 0 2778 2779 2794 2793 3003 3004 3019 3018
2426 5 3 7 7 0 2779 2780 2795 2794 3004 3005 3020 3019
2427 5 3 7 7 0 2780 2781 2796 2795 3005 3006 3021 3020
2428 5 3 25 25 0 2781 2782 2797 2796 3006 3007 3022 3021
2429 5 3 25 25 0 2782 2783 2798 2797 3007 3008 3023 3022
2430 5 3 25 25 0 2783 2784 2799 2798 3008 3009 3024 3023
2431 5 3 25 25 0 2784 2785 2800 2799 3009 3010 3025 3024
2432 5 3 3 3 0 2785 2786 2801 2800 3010 3011 3026 3025
2433 5 3 3 3 0 2786 2787 2802 2801 3011 3012 3027 3026
2434 5 3 3 3 0 2787 2788 2803 2802 3012 3013 3028 3027
2435 5 3 3 3 0 2788 2789 2804 2803 3013 3014 3029 3028
2436 5 3 3 3 0 2789 2790 2805 2804 3014 3015 3030 3029
2437 5 3 7 7 0 2791 2792 2807 2806 3016 3017 3032 3031
2438 5 3 7 7 0 2792 2793 2808 2807 3017 3018 3033 3032
2439 5 3 28 28 0 2793 2794 2809 2808 3018 3019 3034 3033
2440 5 3 28 28 0 2794 2795 2810 2809 3019 3020 3035 3034
2441 5 3 17 17 0 2795 2796 2811 2810 3020 3021 3036 3035
2442 5 3 17 17 0 2796 2797 2812 2811 3021 3022 3037 3036
2443 5 3 17 17 0 2797 2798 2813 2812 3022 3023 3038 3037
2444 5 3 17 17 0 2798 2799 2814 2813 3023 3024 3039 3038
2445 5 3 25 25 0 2799 2800 2815 2814 3024 3025 3040 3039
2446 5 3 3 3 0 2800 2801 2816 2815 3025 3026 3041 3040
2447 5 3 3 3 0 2801 2802 2817 2816 3026 3027 3042 3041
2448 5 3 3 3 0 2802 2803 2818 2817 3027 3028 3043 3042
2449 5 3 3 3 0 2803 2804 2819 2818 3028 3029 3044 3043
2450 5 3 3 3 0 2804 2805 2820 2819 3029 3030 3045 3044
2451 5 3 29 29 0 2806 2807 2822 2821 3031 3032 3047 3046
2452 5 3 29 29 0 2807 2808 2823 2822 3032 3033 3048 3047
2453 5 3 29 29 0 2808 2809 2824 2823 3033 3034 3049 3048
2454 5 3 29 29 0 2809 2810 2825 2824 3034 3035 3050 3049
2455 5 3 17 17 0 2810 2811 2826 2825 3035 3036 3051 3050
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2458 5 3 17 17 0 2813 2814 2829 2828 3038 3039 3054 3053
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$EndPhysicalNames
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$EndElsetOrientations
================================================
FILE: Neper2Abaqus/Step-1 Neper/abq_hex.stelset
================================================
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================================================
FILE: Neper2Abaqus/Step-1 Neper/abq_tet.inp
================================================
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720, 0.919061613401, 0.184229243929, 0.000000000000
721, 0.805409782360, 0.291209622111, 0.000000000000
722, 0.874081974023, 0.084887889341, 0.000000000000
723, 0.740276497030, 0.099972918656, 0.000000000000
724, 0.901545496459, 0.440606593591, 0.000000000000
725, 0.882862987357, 0.357159637877, 0.000000000000
726, 0.805629240439, 0.394214080024, 0.000000000000
727, 0.711310097460, 0.321821910392, 0.000000000000
728, 0.716186085385, 0.203338379590, 0.000000000000
729, 1.000000000000, 0.192395323325, 0.830070892002
730, 1.000000000000, 0.287141024135, 0.774836050610
731, 1.000000000000, 0.269919170480, 0.892531726496
732, 1.000000000000, 0.101683478574, 0.753178406640
733, 1.000000000000, 0.101167414560, 0.898009540209
734, 1.000000000000, 0.202841413874, 0.741094347095
735, 1.000000000000, 0.184534687485, 0.924564828404
736, 0.734021079445, 0.000000000000, 0.822436148527
737, 0.756025117676, 0.000000000000, 0.726021163202
738, 0.917140068502, 0.000000000000, 0.844920395780
739, 0.923384614937, 0.000000000000, 0.921421242112
740, 0.812337638829, 0.000000000000, 0.885721067051
741, 0.880344622918, 0.000000000000, 0.696364282321
742, 0.849978088745, 0.000000000000, 0.788065425214
743, 0.707197959447, 0.000000000000, 0.927254292506
744, 0.861575289383, 0.189115924986, 1.000000000000
745, 0.827367346465, 0.085644152585, 1.000000000000
746, 0.915277600391, 0.078632061608, 1.000000000000
747, 0.737905684804, 0.322648831688, 0.711995906666
748, 0.684299457753, 0.228540725247, 0.867634165795
749, 0.665983311675, 0.097654249141, 0.911014157874
750, 0.649972883544, 0.102903824646, 0.814638205034
751, 0.658497438577, 0.185962742898, 0.769597566881
752, 1.000000000000, 0.559414024425, 0.618480170667
753, 1.000000000000, 0.485095796252, 0.575480821380
754, 1.000000000000, 0.479972605169, 0.689594776923
755, 0.494451426311, 0.444817129438, 0.651577851397
756, 0.567434859438, 0.371883398567, 0.743522540818
757, 0.641144698690, 1.000000000000, 0.376585636205
758, 0.492691435292, 0.000000000000, 0.859443524808
759, 0.531560357697, 0.340173686544, 1.000000000000
760, 0.610006796279, 0.249391239091, 1.000000000000
761, 0.479269554083, 0.195008967755, 1.000000000000
762, 0.439382117345, 0.073369181543, 1.000000000000
763, 0.562037235900, 0.107020748449, 1.000000000000
764, 1.000000000000, 0.797810914332, 0.891656284805
765, 1.000000000000, 0.669122380079, 0.886438005110
766, 1.000000000000, 0.728129500206, 0.776142205488
767, 1.000000000000, 0.910302425000, 0.904465433882
768, 1.000000000000, 0.871698332260, 0.779128847974
769, 0.859418415887, 1.000000000000, 0.859006469541
770, 0.931697436310, 1.000000000000, 0.926156196226
771, 0.782571559843, 1.000000000000, 0.788714986380
772, 0.868859589037, 0.928499853708, 1.000000000000
773, 0.850999011706, 0.722025955138, 1.000000000000
774, 0.868694064851, 0.818169241237, 1.000000000000
775, 0.000000000000, 0.634027302220, 0.598715431435
776, 0.000000000000, 0.914482165779, 0.601319307707
777, 0.000000000000, 0.783206660050, 0.604146709826
778, 0.118970389570, 1.000000000000, 0.641195223483
779, 0.230575668683, 1.000000000000, 0.683292429448
780, 0.216605054124, 1.000000000000, 0.564890718456
781, 0.322071366476, 1.000000000000, 0.591326817780
782, 0.321396156161, 0.566572558031, 0.584374624923
783, 0.203214192990, 0.559385961558, 0.660933840149
784, 0.089098837059, 0.550609017571, 0.659829216147
785, 0.134940206168, 0.812876586472, 0.768299335914
786, 0.147055266012, 0.708304281053, 0.761478770845
787, 0.090178681697, 0.905419697220, 0.769075553247
788, 0.000000000000, 0.463611789942, 0.706248438107
789, 0.315319959001, 0.486452329179, 0.659685623074
790, 0.082878853983, 0.525385775253, 0.823999981504
791, 0.160889307049, 0.551625227549, 0.822214776218
792, 0.000000000000, 0.538953255682, 0.902408475458
793, 0.000000000000, 0.641146682012, 0.862385208476
794, 0.000000000000, 0.919450045141, 0.878213037733
795, 0.000000000000, 0.790303168641, 0.873311467904
796, 0.130495908573, 1.000000000000, 0.894472996640
797, 0.136454694385, 0.546323248261, 1.000000000000
798, 0.139128557063, 0.921437338393, 1.000000000000
799, 0.138227707870, 0.794422024502, 1.000000000000
800, 0.135641119678, 0.670121436881, 1.000000000000
801, 0.270596504211, 0.807391226292, 0.309448838234
802, 0.107215449214, 0.644010186195, 0.146067798138
803, 0.216136157513, 0.644010186195, 0.146067798138
804, 0.107215449214, 0.752930879593, 0.146067798138
805, 0.107215449214, 0.861851572990, 0.146067798138
806, 0.107215449214, 0.535089492798, 0.146067798138
807, 0.216136157513, 0.861851572990, 0.363909184933
808, 0.325056850910, 0.861851572990, 0.363909184933
809, 0.325056850910, 0.752930879593, 0.363909184933
810, 0.325056850910, 0.861851572990, 0.254988491535
811, 0.433977544308, 0.861851572990, 0.146067798138
812, 0.216136157513, 0.861851572990, 0.254988491535
813, 0.433977544308, 0.861851572990, 0.254988491535
814, 0.325056850910, 0.752930879593, 0.254988491535
815, 0.325056850910, 0.861851572990, 0.146067798138
816, 0.216136157513, 0.752930879593, 0.363909184933
817, 0.433977544308, 0.752930879593, 0.254988491535
818, 0.433977544308, 0.752930879593, 0.146067798138
819, 0.216136157513, 0.752930879593, 0.146067798138
820, 0.216136157513, 0.535089492798, 0.254988491535
821, 0.216136157513, 0.644010186195, 0.363909184933
822, 0.325056850910, 0.644010186195, 0.363909184933
823, 0.216136157513, 0.644010186195, 0.254988491535
824, 0.382875113530, 0.596546815152, 0.220611466641
825, 0.107215449214, 0.535089492798, 0.254988491535
826, 0.132162004709, 0.311962753534, 0.494699209929
827, 0.132162004709, 0.132089138031, 0.584636032581
828, 0.132162004709, 0.132089138031, 0.494699209929
829, 0.942061543465, 0.520529150963, 0.851890563965
830, 0.110633447766, 0.119948729873, 0.840776085854
831, 0.110633447766, 0.119948729873, 0.922446727753
832, 0.568257629871, 0.130703449249, 0.540078938007
833, 0.888249397278, 0.880959153175, 0.194007605314
834, 0.803080558777, 0.880959153175, 0.194007605314
835, 0.803080558777, 0.795790433884, 0.108838811517
836, 0.888249397278, 0.795790433884, 0.108838811517
837, 0.803080558777, 0.880959153175, 0.108838811517
838, 0.717911839485, 0.880959153175, 0.108838811517
839, 0.888249397278, 0.710621595383, 0.108838811517
840, 0.888249397278, 0.880959153175, 0.279176384211
841, 0.504906296730, 0.866627752781, 0.801241278648
842, 0.600328564644, 0.866627752781, 0.801241278648
843, 0.409483939409, 0.580360710621, 0.896663665771
844, 0.600328564644, 0.866627752781, 0.896663665771
845, 0.409483939409, 0.771205365658, 0.896663665771
846, 0.409483939409, 0.866627752781, 0.896663665771
847, 0.600328564644, 0.771205365658, 0.896663665771
848, 0.504906296730, 0.771205365658, 0.896663665771
849, 0.841549038887, 0.113809026778, 0.521062195301
850, 0.919039249420, 0.268789499998, 0.521062195301
851, 0.107300713658, 0.084238588810, 0.125028103590
852, 0.216308057308, 0.084238588810, 0.125028103590
853, 0.216308057308, 0.084238588810, 0.234035432339
854, 0.107300713658, 0.193245947361, 0.125028103590
855, 0.107300713658, 0.302253276110, 0.125028103590
856, 0.434322774410, 0.084238588810, 0.125028103590
857, 0.434322774410, 0.084238588810, 0.234035432339
858, 0.325315415859, 0.084238588810, 0.234035432339
859, 0.216308057308, 0.302253276110, 0.125028103590
860, 0.325315415859, 0.193245947361, 0.125028103590
861, 0.216308057308, 0.193245947361, 0.125028103590
862, 0.216308057308, 0.193245947361, 0.234035432339
863, 0.325315415859, 0.302253276110, 0.125028103590
864, 0.325315415859, 0.193245947361, 0.234035432339
865, 0.216308057308, 0.302253276110, 0.234035432339
866, 0.886730730534, 0.312757670879, 0.126763120294
867, 0.886730730534, 0.132425725460, 0.216929107904
868, 0.796564757824, 0.132425725460, 0.216929107904
869, 0.706398785114, 0.132425725460, 0.126763120294
870, 0.706398785114, 0.132425725460, 0.216929107904
871, 0.706398785114, 0.222591698170, 0.216929107904
872, 0.796564757824, 0.132425725460, 0.307095080614
873, 0.886730730534, 0.132425725460, 0.126763120294
874, 0.796564757824, 0.132425725460, 0.126763120294
875, 0.706398785114, 0.222591698170, 0.126763120294
876, 0.886730730534, 0.222591698170, 0.126763120294
877, 0.796564757824, 0.312757670879, 0.126763120294
878, 0.796564757824, 0.222591698170, 0.126763120294
879, 0.796564757824, 0.312757670879, 0.307095080614
880, 0.796564757824, 0.222591698170, 0.307095080614
881, 0.886730730534, 0.312757670879, 0.307095080614
882, 0.445926368237, 0.356390893459, 0.915723025799
883, 0.144344702363, 0.779693484306, 0.866011619568
*Element, type=C3D4
1, 3, 158, 375, 406
2, 422, 404, 365, 16
3, 368, 805, 804, 150
4, 807, 812, 370, 381
5, 427, 426, 396, 167
6, 813, 810, 815, 814
7, 372, 366, 153, 806
8, 180, 416, 825, 820
9, 816, 821, 401, 402
10, 810, 812, 374, 815
11, 393, 368, 804, 150
12, 806, 394, 802, 386
13, 390, 388, 407, 818
14, 821, 422, 820, 423
15, 390, 175, 407, 22
16, 383, 427, 160, 379
17, 388, 407, 408, 172
18, 806, 802, 803, 386
19, 824, 817, 6, 409
20, 808, 810, 376, 375
21, 818, 23, 408, 424
22, 805, 812, 819, 815
23, 426, 389, 396, 167
24, 175, 818, 407, 408
25, 426, 168, 389, 167
26, 169, 390, 407, 22
27, 816, 801, 819, 812
28, 384, 374, 162, 815
29, 821, 816, 823, 367
30, 389, 426, 818, 390
31, 823, 824, 820, 803
32, 367, 816, 400, 403
33, 388, 12, 172, 164
34, 811, 384, 391, 815
35, 816, 823, 804, 819
36, 404, 821, 367, 403
37, 422, 181, 820, 423
38, 377, 808, 376, 375
39, 367, 812, 804, 364
40, 415, 817, 9, 178
41, 806, 419, 803, 820
42, 427, 383, 396, 811
43, 170, 406, 413, 808
44, 805, 393, 804, 150
45, 385, 818, 815, 397
46, 422, 821, 820, 825
47, 415, 179, 14, 822
48, 818, 388, 408, 172
49, 179, 822, 178, 8
50, 427, 383, 160, 21
51, 801, 823, 819, 814
52, 13, 415, 14, 822
53, 4, 378, 413, 375
54, 417, 416, 418, 820
55, 393, 399, 368, 151
56, 411, 174, 178, 817
57, 817, 23, 408, 818
58, 179, 415, 178, 822
59, 373, 805, 812, 381
60, 372, 394, 369, 806
61, 812, 801, 819, 814
62, 818, 811, 813, 424
63, 817, 412, 813, 809
64, 810, 801, 809, 808
65, 19, 181, 423, 418
66, 400, 367, 370, 807
67, 812, 367, 370, 364
68, 367, 812, 370, 807
69, 385, 818, 803, 392
70, 822, 18, 17, 423
71, 174, 23, 817, 411
72, 417, 388, 824, 172
73, 391, 397, 815, 387
74, 148, 373, 381, 364
75, 821, 822, 824, 809
76, 812, 805, 374, 815
77, 805, 163, 395, 373
78, 813, 811, 815, 380
79, 379, 378, 380, 813
80, 388, 164, 172, 417
81, 24, 817, 813, 424
82, 812, 364, 370, 381
83, 816, 821, 809, 401
84, 378, 176, 413, 813
85, 13, 18, 17, 822
86, 812, 805, 364, 381
87, 421, 153, 420, 806
88, 9, 7, 412, 809
89, 364, 148, 370, 381
90, 379, 20, 425, 160
91, 148, 382, 370, 381
92, 388, 818, 408, 407
93, 404, 422, 171, 16
94, 379, 813, 425, 177
95, 418, 822, 414, 824
96, 399, 368, 369, 802
97, 417, 418, 11, 824
98, 389, 811, 391, 818
99, 417, 824, 392, 803
100, 805, 812, 804, 819
101, 170, 7, 809, 412
102, 23, 24, 817, 411
103, 421, 372, 153, 806
104, 397, 819, 815, 387
105, 373, 148, 149, 364
106, 366, 806, 369, 363
107, 818, 385, 815, 391
108, 817, 822, 809, 824
109, 176, 410, 5, 813
110, 812, 819, 815, 814
111, 816, 367, 804, 823
112, 363, 368, 364, 804
113, 810, 812, 815, 814
114, 363, 367, 804, 364
115, 806, 394, 419, 166
116, 372, 421, 394, 806
117, 367, 816, 804, 812
118, 366, 806, 825, 420
119, 818, 811, 815, 813
120, 817, 813, 815, 814
121, 384, 374, 815, 380
122, 421, 806, 419, 166
123, 807, 401, 809, 808
124, 807, 377, 808, 376
125, 382, 157, 807, 381
126, 384, 396, 391, 161
127, 383, 384, 161, 396
128, 801, 807, 809, 808
129, 823, 802, 804, 803
130, 157, 377, 807, 381
131, 818, 817, 815, 814
132, 816, 401, 403, 402
133, 157, 377, 158, 405
134, 813, 378, 375, 413
135, 7, 415, 809, 9
136, 423, 821, 171, 402
137, 817, 818, 824, 814
138, 816, 405, 403, 401
139, 812, 373, 381, 374
140, 404, 821, 403, 402
141, 821, 816, 403, 402
142, 817, 9, 5, 412
143, 817, 411, 9, 178
144, 805, 163, 374, 387
145, 405, 816, 403, 400
146, 383, 811, 379, 384
147, 805, 393, 819, 804
148, 426, 811, 396, 389
149, 817, 818, 813, 424
150, 169, 388, 407, 390
151, 168, 426, 389, 390
152, 163, 805, 395, 387
153, 374, 163, 162, 387
154, 817, 824, 809, 814
155, 813, 817, 809, 814
156, 811, 389, 391, 396
157, 823, 802, 820, 825
158, 372, 394, 166, 10
159, 823, 363, 825, 365
160, 421, 372, 166, 10
161, 15, 180, 420, 825
162, 822, 423, 820, 418
163, 372, 421, 166, 394
164, 811, 426, 424, 818
165, 371, 805, 368, 150
166, 822, 415, 178, 817
167, 410, 378, 176, 159
168, 410, 24, 813, 177
169, 390, 389, 385, 818
170, 806, 394, 369, 802
171, 426, 175, 818, 390
172, 806, 419, 398, 803
173, 821, 367, 823, 363
174, 816, 801, 812, 807
175, 154, 366, 365, 825
176, 404, 155, 365, 16
177, 153, 366, 15, 420
178, 7, 170, 809, 401
179, 18, 13, 14, 822
180, 391, 384, 162, 815
181, 394, 399, 369, 802
182, 416, 180, 181, 820
183, 366, 372, 369, 806
184, 152, 399, 369, 394
185, 410, 378, 159, 379
186, 410, 159, 20, 379
187, 383, 811, 384, 396
188, 812, 374, 381, 376
189, 406, 3, 413, 375
190, 388, 12, 169, 407
191, 426, 168, 175, 390
192, 24, 410, 813, 5
193, 813, 413, 375, 808
194, 811, 426, 818, 389
195, 817, 174, 6, 409
196, 812, 807, 808, 376
197, 811, 379, 380, 813
198, 811, 384, 380, 379
199, 386, 806, 398, 803
200, 378, 410, 813, 379
201, 801, 810, 809, 814
202, 363, 368, 802, 369
203, 822, 18, 414, 14
204, 810, 374, 376, 380
205, 404, 367, 155, 403
206, 382, 2, 370, 400
207, 824, 6, 173, 409
208, 367, 823, 363, 804
209, 816, 801, 814, 823
210, 824, 11, 409, 173
211, 412, 176, 813, 413
212, 377, 405, 808, 406
213, 806, 363, 802, 369
214, 817, 9, 412, 809
215, 3, 4, 413, 375
216, 810, 380, 376, 375
217, 388, 390, 385, 818
218, 812, 801, 808, 807
219, 423, 181, 820, 418
220, 372, 152, 369, 394
221, 813, 24, 424, 425
222, 811, 427, 379, 425
223, 427, 379, 425, 160
224, 24, 813, 177, 425
225, 394, 806, 398, 386
226, 393, 368, 150, 151
227, 157, 382, 400, 2
228, 821, 404, 171, 402
229, 412, 813, 808, 413
230, 810, 812, 376, 374
231, 175, 426, 818, 424
232, 179, 822, 173, 414
233, 170, 412, 808, 413
234, 383, 427, 396, 21
235, 384, 811, 391, 396
236, 801, 816, 814, 809
237, 801, 816, 809, 807
238, 371, 805, 395, 373
239, 396, 427, 167, 21
240, 386, 819, 804, 803
241, 819, 393, 386, 804
242, 367, 400, 155, 403
243, 417, 165, 398, 392
244, 821, 822, 809, 401
245, 813, 810, 808, 375
246, 810, 813, 809, 814
247, 393, 399, 386, 802
248, 388, 818, 385, 392
249, 165, 417, 398, 419
250, 399, 394, 386, 802
251, 803, 417, 398, 392
252, 404, 821, 825, 365
253, 821, 367, 363, 365
254, 419, 417, 398, 803
255, 23, 175, 408, 424
256, 823, 824, 814, 809
257, 20, 379, 425, 177
258, 180, 422, 825, 154
259, 23, 817, 424, 818
260, 823, 821, 824, 809
261, 818, 824, 803, 392
262, 816, 823, 814, 809
263, 373, 371, 1, 395
264, 421, 394, 806, 166
265, 816, 821, 823, 809
266, 163, 373, 1, 395
267, 806, 416, 419, 820
268, 802, 806, 820, 825
269, 806, 802, 820, 803
270, 811, 384, 815, 380
271, 810, 812, 808, 376
272, 23, 24, 424, 817
273, 159, 378, 176, 4
274, 422, 180, 825, 820
275, 180, 422, 181, 820
276, 822, 19, 418, 414
277, 418, 824, 414, 11
278, 400, 367, 156, 370
279, 400, 2, 370, 156
280, 382, 400, 370, 807
281, 368, 363, 802, 804
282, 176, 378, 413, 4
283, 400, 367, 155, 156
284, 824, 822, 414, 173
285, 2, 382, 370, 148
286, 817, 818, 815, 813
287, 426, 811, 424, 425
288, 821, 823, 824, 820
289, 377, 158, 405, 406
290, 374, 162, 815, 387
291, 406, 170, 401, 808
292, 406, 413, 808, 375
293, 172, 824, 409, 408
294, 822, 821, 402, 401
295, 817, 174, 178, 6
296, 172, 417, 11, 409
297, 422, 821, 171, 423
298, 404, 821, 171, 422
299, 417, 824, 11, 409
300, 824, 417, 172, 409
301, 810, 813, 380, 375
302, 374, 805, 387, 815
303, 810, 801, 812, 814
304, 805, 163, 373, 374
305, 396, 383, 21, 161
306, 813, 412, 808, 809
307, 393, 819, 386, 397
308, 805, 373, 812, 374
309, 397, 386, 392, 803
310, 818, 819, 815, 397
311, 417, 388, 392, 824
312, 374, 810, 815, 380
313, 166, 394, 419, 398
314, 388, 164, 417, 392
315, 823, 363, 804, 802
316, 371, 373, 1, 149
317, 805, 819, 387, 815
318, 422, 154, 365, 825
319, 816, 401, 809, 807
320, 806, 416, 825, 420
321, 819, 818, 815, 814
322, 373, 805, 381, 364
323, 388, 818, 824, 172
324, 806, 416, 420, 419
325, 805, 393, 387, 819
326, 175, 168, 22, 390
327, 179, 822, 414, 14
328, 822, 19, 423, 418
329, 388, 12, 407, 172
330, 174, 23, 408, 817
331, 406, 377, 375, 808
332, 382, 807, 370, 381
333, 405, 816, 807, 401
334, 802, 386, 804, 803
335, 824, 818, 408, 172
336, 813, 810, 809, 808
337, 817, 818, 408, 824
338, 824, 11, 173, 414
339, 377, 157, 807, 405
340, 405, 816, 400, 807
341, 821, 823, 820, 825
342, 823, 821, 363, 365
343, 366, 15, 420, 825
344, 404, 422, 365, 825
345, 821, 404, 825, 422
346, 418, 19, 11, 414
347, 410, 378, 813, 176
348, 3, 170, 406, 413
349, 18, 822, 414, 19
350, 405, 406, 401, 808
351, 379, 410, 813, 177
352, 427, 383, 811, 379
353, 819, 386, 397, 803
354, 162, 391, 815, 387
355, 415, 817, 809, 9
356, 417, 164, 165, 392
357, 806, 394, 398, 419
358, 153, 366, 420, 806
359, 372, 152, 394, 10
360, 372, 421, 153, 10
361, 412, 817, 813, 5
362, 176, 412, 813, 5
363, 812, 805, 804, 364
364, 817, 411, 5, 9
365, 368, 805, 364, 804
366, 181, 416, 820, 418
367, 818, 388, 824, 392
368, 811, 813, 424, 425
369, 426, 427, 811, 425
370, 158, 377, 375, 406
371, 385, 397, 392, 803
372, 386, 803, 398, 392
373, 399, 152, 369, 151
374, 379, 811, 425, 813
375, 819, 823, 804, 803
376, 822, 821, 820, 423
377, 165, 166, 419, 398
378, 175, 818, 408, 424
379, 175, 390, 407, 818
380, 405, 401, 807, 808
381, 405, 377, 808, 807
382, 822, 821, 824, 820
383, 411, 24, 817, 5
384, 817, 24, 813, 5
385, 421, 806, 420, 419
386, 410, 20, 177, 379
387, 810, 813, 815, 380
388, 415, 822, 809, 817
389, 823, 819, 814, 803
390, 810, 801, 808, 812
391, 806, 416, 820, 825
392, 822, 18, 423, 19
393, 13, 822, 402, 401
394, 821, 816, 367, 403
395, 13, 822, 17, 402
396, 423, 171, 17, 402
397, 816, 367, 807, 812
398, 367, 816, 807, 400
399, 824, 823, 814, 803
400, 371, 805, 364, 368
401, 157, 405, 400, 807
402, 382, 157, 400, 807
403, 818, 819, 803, 814
404, 419, 417, 803, 820
405, 824, 818, 803, 814
406, 802, 823, 820, 803
407, 170, 401, 808, 809
408, 412, 170, 808, 809
409, 813, 378, 380, 375
410, 154, 180, 15, 825
411, 366, 154, 15, 825
412, 393, 802, 386, 804
413, 418, 822, 824, 820
414, 416, 180, 825, 420
415, 812, 816, 804, 819
416, 368, 399, 369, 151
417, 404, 367, 365, 155
418, 393, 805, 387, 395
419, 371, 805, 150, 395
420, 395, 371, 1, 150
421, 805, 393, 150, 395
422, 366, 363, 365, 825
423, 818, 811, 391, 815
424, 426, 427, 396, 811
425, 363, 823, 825, 802
426, 821, 823, 825, 365
427, 822, 179, 173, 8
428, 806, 363, 825, 802
429, 817, 174, 409, 408
430, 806, 366, 825, 363
431, 824, 417, 820, 803
432, 821, 404, 367, 365
433, 417, 418, 824, 820
434, 416, 417, 419, 820
435, 391, 385, 815, 397
436, 824, 817, 409, 408
437, 393, 819, 397, 387
438, 154, 422, 365, 16
439, 384, 391, 162, 161
440, 389, 818, 391, 385
441, 801, 816, 819, 823
442, 423, 402, 822, 821
443, 822, 402, 423, 17
444, 415, 809, 401, 7
445, 401, 809, 415, 822
446, 401, 13, 415, 7
447, 415, 13, 401, 822
448, 173, 8, 824, 822
449, 173, 824, 8, 6
450, 376, 807, 381, 812
451, 376, 381, 807, 377
452, 6, 178, 824, 8
453, 6, 824, 178, 817
454, 822, 824, 178, 8
455, 822, 178, 824, 817
456, 397, 818, 803, 385
457, 397, 803, 818, 819
458, 371, 373, 364, 805
459, 364, 373, 371, 149
460, 393, 802, 368, 399
461, 368, 802, 393, 804
462, 442, 827, 438, 441
463, 440, 827, 438, 828
464, 826, 171, 422, 437
465, 447, 826, 444, 451
466, 436, 827, 429, 434
467, 435, 450, 188, 433
468, 826, 431, 422, 452
469, 28, 193, 447, 198
470, 186, 432, 445, 33
471, 422, 180, 181, 452
472, 439, 193, 30, 448
473, 453, 454, 448, 828
474, 826, 422, 181, 452
475, 439, 443, 448, 828
476, 31, 439, 30, 448
477, 447, 197, 26, 29
478, 193, 31, 30, 448
479, 192, 32, 456, 441
480, 25, 37, 18, 423
481, 444, 447, 448, 828
482, 826, 171, 423, 422
483, 431, 826, 428, 433
484, 187, 433, 188, 449
485, 436, 827, 440, 429
486, 183, 436, 440, 429
487, 182, 435, 429, 440
488, 184, 827, 455, 456
489, 171, 16, 422, 437
490, 447, 453, 448, 828
491, 826, 446, 195, 34
492, 447, 193, 444, 448
493, 442, 439, 443, 191
494, 442, 35, 443, 194
495, 826, 446, 445, 195
496, 455, 184, 185, 434
497, 430, 36, 445, 196
498, 32, 436, 456, 441
499, 827, 436, 440, 441
500, 443, 194, 444, 827
501, 435, 450, 433, 828
502, 193, 439, 443, 448
503, 446, 171, 196, 37
504, 431, 826, 437, 430
505, 826, 431, 428, 430
506, 433, 450, 188, 449
507, 442, 192, 456, 441
508, 197, 447, 26, 451
509, 827, 442, 456, 441
510, 180, 431, 422, 154
511, 450, 435, 27, 189
512, 429, 827, 828, 434
513, 35, 442, 443, 191
514, 435, 450, 27, 188
515, 19, 197, 18, 423
516, 448, 454, 438, 828
517, 186, 432, 430, 445
518, 827, 194, 455, 456
519, 443, 439, 827, 828
520, 446, 826, 445, 196
521, 32, 183, 436, 441
522, 447, 29, 26, 444
523, 439, 190, 438, 448
524, 436, 827, 434, 184
525, 197, 19, 451, 423
526, 432, 826, 455, 434
527, 431, 180, 452, 15
528, 451, 826, 181, 452
529, 431, 187, 452, 449
530, 428, 826, 432, 434
531, 190, 454, 438, 448
532, 826, 453, 828, 449
533, 826, 453, 449, 451
534, 186, 36, 445, 430
535, 826, 430, 445, 196
536, 193, 447, 444, 29
537, 432, 826, 445, 195
538, 182, 183, 440, 429
539, 440, 828, 438, 189
540, 439, 448, 438, 828
541, 826, 451, 449, 452
542, 826, 453, 451, 447
543, 431, 826, 433, 449
544, 453, 450, 828, 449
545, 453, 450, 454, 828
546, 25, 446, 37, 423
547, 37, 17, 18, 423
548, 435, 182, 27, 189
549, 187, 431, 433, 449
550, 827, 194, 34, 455
551, 446, 826, 444, 34
552, 25, 446, 444, 34
553, 16, 422, 437, 154
554, 436, 183, 440, 441
555, 826, 422, 423, 181
556, 443, 444, 448, 828
557, 450, 435, 189, 440
558, 194, 442, 827, 443
559, 454, 190, 438, 189
560, 827, 436, 456, 184
561, 435, 182, 189, 440
562, 826, 827, 34, 455
563, 827, 826, 34, 444
564, 35, 442, 192, 456
565, 436, 32, 456, 184
566, 432, 455, 185, 434
567, 826, 428, 433, 828
568, 826, 25, 444, 26
569, 17, 171, 423, 37
570, 826, 451, 181, 423
571, 187, 431, 452, 15
572, 194, 442, 456, 827
573, 431, 180, 15, 154
574, 826, 432, 455, 195
575, 193, 439, 30, 443
576, 826, 451, 423, 26
577, 25, 26, 423, 18
578, 436, 827, 456, 441
579, 439, 442, 827, 438
580, 28, 197, 447, 29
581, 826, 827, 828, 444
582, 443, 827, 444, 828
583, 450, 454, 828, 189
584, 826, 827, 455, 434
585, 195, 826, 34, 455
586, 439, 442, 443, 827
587, 450, 433, 828, 449
588, 451, 447, 26, 444
589, 826, 446, 25, 423
590, 193, 28, 447, 29
591, 432, 826, 430, 445
592, 433, 826, 828, 449
593, 431, 826, 422, 437
594, 451, 19, 181, 423
595, 826, 446, 171, 196
596, 36, 16, 196, 437
597, 826, 431, 452, 449
598, 827, 440, 438, 441
599, 16, 171, 196, 437
600, 440, 450, 828, 189
601, 439, 827, 828, 438
602, 428, 429, 828, 434
603, 826, 428, 432, 430
604, 446, 826, 25, 444
605, 193, 443, 444, 448
606, 184, 827, 434, 455
607, 194, 827, 34, 444
608, 827, 826, 828, 434
609, 826, 428, 828, 434
610, 31, 190, 439, 448
611, 193, 198, 448, 447
612, 31, 193, 198, 448
613, 429, 435, 433, 828
614, 25, 826, 423, 26
615, 431, 180, 422, 452
616, 35, 442, 456, 194
617, 195, 432, 455, 185
618, 33, 432, 195, 185
619, 428, 429, 433, 828
620, 827, 429, 828, 440
621, 451, 826, 444, 26
622, 828, 454, 438, 189
623, 33, 432, 445, 195
624, 439, 443, 191, 30
625, 429, 435, 828, 440
626, 437, 36, 430, 196
627, 435, 450, 828, 440
628, 422, 431, 437, 154
629, 423, 446, 171, 826
630, 423, 171, 446, 37
631, 447, 828, 826, 453
632, 826, 828, 447, 444
633, 437, 196, 826, 171
634, 826, 196, 437, 430
635, 423, 197, 26, 451
636, 423, 26, 197, 18
637, 47, 43, 48, 474
638, 462, 475, 473, 210
639, 464, 43, 44, 472
640, 473, 475, 472, 51
641, 475, 462, 204, 50
642, 475, 474, 472, 51
643, 460, 199, 829, 465
644, 475, 462, 458, 461
645, 829, 39, 206, 466
646, 203, 460, 465, 38
647, 475, 473, 210, 51
648, 469, 457, 463, 829
649, 467, 464, 40, 206
650, 829, 469, 457, 459
651, 469, 201, 457, 459
652, 205, 45, 209, 458
653, 460, 203, 468, 461
654, 469, 458, 829, 470
655, 473, 475, 458, 470
656, 465, 199, 829, 466
657, 49, 203, 461, 468
658, 471, 45, 202, 458
659, 203, 460, 468, 465
660, 469, 201, 459, 42
661, 462, 205, 50, 473
662, 464, 474, 472, 470
663, 829, 460, 468, 461
664, 462, 475, 210, 50
665, 45, 471, 209, 458
666, 41, 39, 463, 457
667, 207, 469, 463, 470
668, 473, 205, 209, 458
669, 473, 46, 472, 470
670, 462, 475, 458, 473
671, 829, 464, 463, 470
672, 464, 467, 829, 466
673, 460, 199, 465, 38
674, 472, 46, 44, 470
675, 464, 43, 472, 474
676, 201, 459, 200, 457
677, 460, 829, 200, 459
678, 199, 39, 829, 466
679, 471, 458, 469, 470
680, 43, 47, 472, 474
681, 467, 464, 206, 466
682, 202, 469, 459, 42
683, 469, 463, 457, 41
684, 471, 469, 459, 202
685, 467, 208, 48, 474
686, 469, 207, 463, 41
687, 465, 460, 468, 829
688, 458, 471, 459, 202
689, 471, 458, 459, 469
690, 467, 465, 829, 466
691, 829, 206, 464, 466
692, 48, 43, 40, 474
693, 473, 475, 470, 472
694, 458, 829, 470, 461
695, 199, 39, 457, 829
696, 46, 473, 209, 470
697, 462, 205, 473, 458
698, 463, 44, 207, 470
699, 467, 829, 468, 461
700, 467, 465, 468, 829
701, 472, 464, 470, 44
702, 464, 467, 474, 470
703, 469, 829, 463, 470
704, 469, 201, 41, 457
705, 464, 467, 470, 829
706, 829, 199, 200, 457
707, 458, 475, 461, 470
708, 474, 47, 472, 51
709, 463, 44, 470, 464
710, 460, 199, 200, 829
711, 458, 460, 829, 461
712, 39, 829, 463, 457
713, 475, 462, 461, 204
714, 39, 829, 206, 463
715, 829, 464, 206, 463
716, 201, 459, 42, 200
717, 462, 473, 50, 210
718, 467, 48, 40, 474
719, 464, 467, 40, 474
720, 474, 475, 472, 470
721, 459, 829, 200, 457
722, 829, 467, 470, 461
723, 46, 473, 472, 51
724, 460, 199, 38, 200
725, 43, 464, 40, 474
726, 458, 209, 470, 471
727, 458, 470, 209, 473
728, 459, 829, 458, 460
729, 459, 458, 829, 469
730, 467, 468, 475, 461
731, 467, 470, 475, 474
732, 475, 470, 467, 461
733, 49, 468, 204, 208
734, 49, 204, 468, 461
735, 475, 204, 468, 208
736, 475, 468, 204, 461
737, 475, 467, 208, 468
738, 208, 467, 475, 474
739, 479, 53, 412, 477
740, 413, 216, 483, 482
741, 476, 477, 52, 480
742, 58, 479, 214, 483
743, 476, 211, 56, 482
744, 479, 480, 483, 215
745, 412, 170, 478, 483
746, 412, 477, 176, 413
747, 482, 476, 481, 483
748, 412, 7, 57, 170
749, 412, 53, 5, 477
750, 476, 480, 481, 483
751, 412, 9, 5, 478
752, 479, 53, 478, 412
753, 53, 412, 5, 478
754, 7, 412, 57, 478
755, 170, 412, 413, 483
756, 413, 216, 170, 483
757, 479, 58, 478, 54
758, 477, 479, 213, 480
759, 479, 477, 483, 480
760, 477, 412, 176, 5
761, 9, 53, 5, 478
762, 212, 476, 52, 480
763, 9, 53, 478, 54
764, 53, 479, 213, 477
765, 212, 476, 480, 481
766, 212, 215, 55, 481
767, 58, 479, 478, 214
768, 477, 476, 413, 483
769, 476, 211, 482, 481
770, 214, 483, 478, 57
771, 482, 476, 3, 56
772, 480, 215, 481, 483
773, 476, 482, 3, 413
774, 412, 479, 483, 478
775, 477, 4, 176, 413
776, 479, 214, 483, 478
777, 412, 477, 413, 483
778, 483, 170, 478, 57
779, 4, 476, 3, 413
780, 413, 216, 482, 3
781, 476, 4, 52, 477
782, 170, 483, 216, 57
783, 56, 482, 216, 3
784, 413, 216, 3, 170
785, 55, 476, 481, 211
786, 483, 413, 482, 476
787, 170, 412, 478, 57
788, 4, 476, 413, 477
789, 412, 7, 9, 478
790, 479, 58, 215, 483
791, 477, 476, 483, 480
792, 53, 479, 478, 54
793, 212, 480, 215, 481
794, 412, 479, 477, 483
795, 55, 476, 212, 481
796, 480, 477, 52, 213
797, 60, 218, 217, 219
798, 484, 53, 9, 54
799, 8, 221, 178, 484
800, 59, 486, 485, 219
801, 411, 24, 64, 488
802, 486, 218, 484, 485
803, 62, 218, 485, 484
804, 411, 64, 5, 53
805, 487, 62, 485, 484
806, 6, 221, 178, 8
807, 487, 488, 485, 65
808, 411, 484, 9, 178
809, 174, 221, 487, 484
810, 221, 174, 178, 484
811, 221, 6, 178, 174
812, 66, 486, 488, 65
813, 484, 486, 54, 217
814, 62, 63, 487, 485
815, 411, 23, 24, 488
816, 23, 411, 220, 488
817, 218, 486, 484, 217
818, 486, 218, 485, 219
819, 64, 411, 488, 53
820, 411, 174, 487, 484
821, 486, 64, 488, 53
822, 221, 62, 487, 484
823, 411, 486, 488, 53
824, 61, 487, 485, 65
825, 487, 63, 61, 485
826, 488, 487, 220, 65
827, 221, 62, 484, 8
828, 62, 221, 487, 63
829, 411, 53, 5, 9
830, 59, 61, 485, 65
831, 484, 411, 9, 53
832, 411, 174, 220, 487
833, 218, 486, 217, 219
834, 174, 411, 178, 484
835, 486, 484, 54, 53
836, 411, 24, 5, 64
837, 411, 23, 220, 174
838, 486, 66, 488, 64
839, 486, 411, 484, 53
840, 411, 487, 220, 488
841, 486, 66, 59, 65
842, 65, 486, 485, 59
843, 65, 485, 486, 488
844, 485, 488, 484, 486
845, 485, 484, 488, 487
846, 411, 484, 488, 486
847, 411, 488, 484, 487
848, 484, 8, 62, 489
849, 218, 484, 62, 489
850, 484, 478, 491, 54
851, 179, 8, 178, 489
852, 68, 218, 62, 489
853, 72, 57, 492, 7
854, 72, 69, 13, 489
855, 415, 179, 178, 489
856, 478, 54, 58, 491
857, 74, 490, 492, 67
858, 415, 72, 7, 13
859, 490, 72, 71, 492
860, 492, 222, 491, 73
861, 217, 484, 491, 54
862, 415, 14, 179, 489
863, 478, 58, 214, 491
864, 218, 70, 217, 222
865, 57, 492, 478, 214
866, 492, 484, 478, 491
867, 72, 490, 71, 69
868, 9, 415, 478, 7
869, 218, 70, 222, 67
870, 415, 9, 484, 178
871, 74, 492, 222, 67
872, 492, 478, 214, 491
873, 492, 218, 222, 67
874, 73, 492, 58, 491
875, 484, 490, 492, 489
876, 74, 490, 71, 492
877, 69, 14, 13, 489
878, 68, 490, 489, 69
879, 415, 484, 492, 489
880, 415, 72, 492, 7
881, 415, 9, 478, 484
882, 490, 72, 489, 69
883, 492, 74, 222, 73
884, 484, 9, 478, 54
885, 14, 415, 13, 489
886, 415, 72, 13, 489
887, 415, 492, 478, 7
888, 490, 218, 492, 67
889, 484, 415, 178, 489
890, 72, 415, 492, 489
891, 8, 484, 178, 489
892, 490, 72, 492, 489
893, 70, 218, 217, 60
894, 484, 218, 492, 490
895, 58, 492, 214, 491
896, 218, 68, 67, 490
897, 492, 57, 478, 7
898, 415, 484, 478, 492
899, 489, 218, 490, 68
900, 489, 490, 218, 484
901, 222, 492, 484, 218
902, 484, 492, 222, 491
903, 484, 217, 222, 218
904, 222, 217, 484, 491
905, 513, 82, 503, 83
906, 830, 514, 235, 506
907, 502, 497, 223, 75
908, 229, 504, 501, 831
909, 513, 82, 509, 503
910, 194, 499, 35, 512
911, 236, 500, 512, 76
912, 232, 513, 514, 506
913, 234, 79, 80, 495
914, 830, 499, 500, 501
915, 34, 830, 235, 511
916, 228, 77, 515, 231
917, 232, 513, 503, 83
918, 194, 499, 512, 830
919, 502, 229, 501, 831
920, 226, 510, 80, 495
921, 502, 497, 830, 223
922, 226, 493, 510, 495
923, 456, 498, 32, 192
924, 510, 234, 80, 495
925, 77, 227, 228, 515
926, 505, 830, 506, 831
927, 194, 456, 35, 499
928, 508, 504, 229, 831
929, 515, 504, 236, 500
930, 234, 510, 511, 507
931, 830, 499, 512, 500
932, 223, 497, 830, 494
933, 228, 504, 500, 501
934, 509, 234, 511, 507
935, 82, 513, 509, 78
936, 225, 505, 496, 507
937, 195, 493, 511, 510
938, 513, 78, 235, 511
939, 502, 497, 508, 831
940, 494, 830, 496, 831
941, 494, 493, 496, 830
942, 235, 830, 506, 511
943, 498, 456, 499, 35
944, 493, 455, 830, 494
945, 195, 455, 493, 185
946, 184, 455, 185, 494
947, 830, 505, 506, 511
948, 500, 515, 76, 236
949, 504, 505, 506, 831
950, 504, 228, 229, 501
951, 33, 195, 493, 185
952, 78, 34, 235, 511
953, 830, 505, 496, 831
954, 497, 508, 831, 224
955, 495, 225, 496, 507
956, 502, 508, 229, 831
957, 505, 830, 496, 511
958, 497, 502, 830, 831
959, 455, 493, 185, 494
960, 830, 504, 831, 501
961, 456, 498, 494, 184
962, 224, 505, 496, 225
963, 497, 508, 224, 75
964, 503, 509, 511, 507
965, 228, 504, 515, 500
966, 514, 504, 231, 506
967, 830, 493, 496, 511
968, 513, 232, 503, 506
969, 513, 235, 506, 511
970, 497, 224, 831, 496
971, 503, 233, 234, 507
972, 456, 455, 494, 830
973, 497, 494, 831, 830
974, 503, 513, 511, 509
975, 194, 830, 512, 235
976, 498, 456, 494, 830
977, 504, 830, 236, 500
978, 233, 79, 234, 507
979, 456, 455, 184, 494
980, 194, 455, 830, 34
981, 223, 498, 32, 184
982, 502, 830, 831, 501
983, 79, 495, 507, 225
984, 224, 505, 831, 496
985, 503, 83, 81, 84
986, 82, 83, 81, 503
987, 510, 234, 495, 507
988, 498, 223, 830, 494
989, 498, 502, 830, 223
990, 233, 503, 81, 84
991, 504, 830, 500, 501
992, 503, 233, 81, 509
993, 494, 497, 831, 496
994, 514, 232, 506, 231
995, 508, 505, 831, 224
996, 497, 502, 508, 75
997, 227, 228, 515, 500
998, 234, 79, 495, 507
999, 82, 503, 81, 509
1000, 233, 503, 234, 509
1001, 514, 830, 235, 236
1002, 78, 513, 509, 511
1003, 195, 33, 493, 510
1004, 500, 230, 512, 76
1005, 456, 498, 499, 830
1006, 500, 499, 512, 230
1007, 508, 502, 229, 75
1008, 504, 228, 515, 231
1009, 235, 830, 512, 236
1010, 505, 503, 511, 507
1011, 194, 455, 456, 830
1012, 513, 514, 506, 235
1013, 233, 509, 234, 81
1014, 504, 514, 515, 236
1015, 514, 504, 830, 236
1016, 498, 456, 35, 192
1017, 830, 500, 512, 236
1018, 498, 223, 494, 184
1019, 498, 499, 830, 501
1020, 34, 455, 830, 511
1021, 195, 455, 34, 511
1022, 194, 34, 830, 235
1023, 504, 514, 231, 515
1024, 504, 508, 505, 831
1025, 503, 505, 511, 506
1026, 513, 503, 511, 506
1027, 194, 456, 499, 830
1028, 33, 226, 493, 510
1029, 502, 498, 830, 501
1030, 509, 503, 234, 507
1031, 498, 456, 32, 184
1032, 227, 515, 76, 500
1033, 35, 499, 230, 512
1034, 830, 506, 504, 514
1035, 504, 506, 830, 831
1036, 507, 496, 511, 505
1037, 507, 496, 493, 511
1038, 493, 496, 507, 495
1039, 493, 510, 507, 511
1040, 507, 510, 493, 495
1041, 511, 455, 493, 195
1042, 511, 493, 455, 830
1043, 522, 93, 92, 91
1044, 516, 63, 523, 221
1045, 525, 240, 69, 518
1046, 238, 516, 63, 523
1047, 527, 92, 11, 523
1048, 516, 520, 523, 517
1049, 173, 489, 179, 414
1050, 520, 245, 523, 517
1051, 524, 85, 240, 518
1052, 489, 173, 179, 8
1053, 237, 516, 517, 520
1054, 526, 87, 239, 517
1055, 237, 87, 526, 517
1056, 238, 245, 89, 517
1057, 243, 519, 518, 524
1058, 63, 516, 62, 221
1059, 489, 68, 69, 525
1060, 489, 14, 414, 518
1061, 19, 18, 197, 518
1062, 516, 238, 517, 523
1063, 489, 14, 179, 414
1064, 522, 244, 521, 527
1065, 414, 19, 197, 518
1066, 246, 526, 239, 517
1067, 527, 244, 521, 28
1068, 62, 489, 8, 221
1069, 520, 522, 245, 91
1070, 522, 244, 527, 93
1071, 522, 92, 245, 91
1072, 527, 525, 519, 523
1073, 173, 489, 414, 523
1074, 173, 489, 523, 221
1075, 173, 414, 11, 523
1076, 88, 526, 241, 520
1077, 489, 173, 8, 221
1078, 526, 237, 517, 520
1079, 526, 520, 517, 245
1080, 520, 527, 519, 523
1081, 242, 520, 519, 525
1082, 489, 414, 523, 525
1083, 68, 516, 525, 489
1084, 414, 527, 518, 197
1085, 522, 527, 519, 520
1086, 86, 243, 524, 519
1087, 520, 516, 523, 525
1088, 527, 414, 518, 525
1089, 414, 527, 11, 523
1090, 87, 237, 526, 520
1091, 521, 29, 197, 28
1092, 516, 489, 523, 525
1093, 489, 525, 69, 518
1094, 527, 521, 197, 28
1095, 18, 197, 518, 26
1096, 90, 246, 517, 245
1097, 18, 19, 414, 518
1098, 489, 414, 525, 518
1099, 238, 245, 517, 523
1100, 519, 525, 518, 524
1101, 414, 527, 523, 525
1102, 516, 68, 525, 237
1103, 526, 246, 245, 517
1104, 88, 237, 520, 242
1105, 522, 527, 92, 93
1106, 87, 88, 237, 520
1107, 246, 90, 517, 239
1108, 527, 525, 518, 519
1109, 243, 521, 518, 519
1110, 516, 68, 62, 489
1111, 18, 14, 518, 414
1112, 237, 516, 520, 525
1113, 242, 237, 520, 525
1114, 527, 521, 518, 197
1115, 88, 87, 526, 520
1116, 527, 19, 197, 414
1117, 521, 527, 518, 519
1118, 221, 173, 8, 6
1119, 520, 526, 241, 91
1120, 197, 521, 518, 26
1121, 14, 489, 69, 518
1122, 524, 525, 518, 240
1123, 521, 243, 518, 26
1124, 29, 521, 197, 26
1125, 19, 527, 11, 414
1126, 86, 242, 519, 524
1127, 242, 525, 519, 524
1128, 245, 90, 89, 517
1129, 243, 86, 524, 85
1130, 243, 521, 29, 26
1131, 527, 522, 519, 521
1132, 525, 520, 519, 523
1133, 526, 245, 91, 520
1134, 91, 245, 526, 246
1135, 243, 518, 85, 524
1136, 85, 518, 243, 26
1137, 516, 221, 489, 62
1138, 489, 221, 516, 523
1139, 520, 527, 245, 522
1140, 520, 245, 527, 523
1141, 92, 245, 527, 522
1142, 92, 527, 245, 523
1143, 832, 244, 522, 544
1144, 832, 532, 253, 530
1145, 539, 252, 519, 536
1146, 534, 256, 100, 528
1147, 832, 531, 535, 529
1148, 256, 832, 542, 540
1149, 832, 256, 522, 540
1150, 521, 193, 537, 29
1151, 198, 832, 28, 193
1152, 31, 193, 30, 535
1153, 531, 832, 535, 530
1154, 93, 832, 522, 544
1155, 537, 521, 29, 536
1156, 832, 534, 528, 256
1157, 522, 832, 519, 521
1158, 530, 832, 535, 538
1159, 542, 832, 98, 539
1160, 832, 521, 537, 536
1161, 543, 529, 101, 528
1162, 256, 534, 100, 541
1163, 832, 193, 538, 537
1164, 832, 539, 519, 536
1165, 521, 243, 536, 519
1166, 258, 832, 544, 529
1167, 521, 243, 29, 536
1168, 198, 544, 535, 250
1169, 96, 533, 248, 255
1170, 531, 832, 528, 529
1171, 533, 96, 541, 255
1172, 534, 832, 533, 541
1173, 258, 529, 250, 101
1174, 530, 832, 538, 253
1175, 832, 257, 253, 532
1176, 94, 832, 539, 98
1177, 256, 91, 522, 540
1178, 832, 256, 528, 543
1179, 534, 247, 100, 541
1180, 534, 832, 528, 531
1181, 95, 97, 532, 253
1182, 93, 832, 544, 258
1183, 93, 832, 258, 256
1184, 533, 257, 248, 255
1185, 540, 91, 522, 520
1186, 93, 832, 256, 522
1187, 258, 832, 529, 543
1188, 254, 542, 539, 540
1189, 540, 254, 88, 520
1190, 258, 544, 250, 529
1191, 832, 257, 532, 533
1192, 544, 529, 535, 250
1193, 198, 832, 193, 535
1194, 521, 832, 519, 536
1195, 258, 832, 543, 256
1196, 533, 257, 532, 248
1197, 242, 252, 519, 539
1198, 94, 832, 537, 539
1199, 532, 95, 253, 530
1200, 532, 832, 531, 530
1201, 254, 242, 88, 520
1202, 832, 543, 528, 529
1203, 254, 540, 539, 520
1204, 241, 540, 88, 520
1205, 538, 30, 535, 249
1206, 544, 832, 535, 529
1207, 95, 530, 538, 253
1208, 832, 193, 535, 538
1209, 258, 543, 529, 101
1210, 193, 198, 535, 31
1211, 533, 832, 531, 532
1212, 534, 832, 531, 533
1213, 832, 244, 521, 522
1214, 530, 538, 535, 249
1215, 832, 257, 533, 255
1216, 257, 97, 532, 248
1217, 243, 86, 536, 519
1218, 86, 252, 536, 519
1219, 832, 244, 544, 521
1220, 539, 832, 519, 520
1221, 832, 193, 537, 521
1222, 256, 93, 522, 91
1223, 242, 254, 539, 520
1224, 253, 832, 538, 537
1225, 544, 244, 522, 93
1226, 241, 91, 540, 520
1227, 543, 528, 101, 251
1228, 530, 95, 538, 249
1229, 97, 257, 532, 253
1230, 247, 96, 541, 533
1231, 540, 832, 520, 522
1232, 832, 544, 28, 521
1233, 542, 832, 539, 540
1234, 255, 832, 542, 541
1235, 534, 247, 541, 533
1236, 533, 832, 255, 541
1237, 544, 832, 28, 198
1238, 94, 832, 253, 537
1239, 540, 832, 539, 520
1240, 542, 539, 98, 99
1241, 832, 257, 255, 98
1242, 257, 832, 253, 98
1243, 94, 539, 537, 536
1244, 94, 252, 539, 536
1245, 544, 244, 28, 521
1246, 832, 544, 535, 198
1247, 832, 94, 253, 98
1248, 242, 539, 519, 520
1249, 254, 542, 99, 539
1250, 242, 252, 86, 519
1251, 542, 255, 99, 98
1252, 521, 193, 29, 28
1253, 251, 256, 543, 528
1254, 832, 255, 542, 98
1255, 251, 256, 528, 100
1256, 193, 538, 30, 535
1257, 31, 198, 535, 250
1258, 193, 832, 28, 521
1259, 539, 832, 537, 536
1260, 832, 522, 519, 520
1261, 832, 256, 542, 541
1262, 832, 534, 256, 541
1263, 556, 102, 557, 553
1264, 560, 559, 561, 546
1265, 70, 102, 556, 553
1266, 547, 261, 546, 564
1267, 547, 551, 545, 262
1268, 551, 562, 110, 263
1269, 491, 58, 73, 112
1270, 552, 558, 549, 550
1271, 558, 268, 111, 552
1272, 559, 558, 550, 549
1273, 264, 558, 111, 552
1274, 564, 66, 486, 64
1275, 267, 104, 557, 560
1276, 564, 559, 486, 546
1277, 559, 556, 553, 217
1278, 268, 58, 479, 559
1279, 259, 558, 105, 550
1280, 551, 562, 563, 564
1281, 547, 551, 563, 564
1282, 212, 552, 55, 215
1283, 547, 551, 262, 108
1284, 552, 111, 55, 215
1285, 261, 547, 563, 564
1286, 551, 563, 263, 108
1287, 102, 107, 557, 553
1288, 555, 559, 560, 546
1289, 102, 103, 556, 557
1290, 107, 559, 557, 553
1291, 104, 560, 106, 548
1292, 479, 53, 486, 54
1293, 268, 558, 559, 479
1294, 107, 560, 267, 557
1295, 564, 261, 546, 109
1296, 562, 265, 64, 554
1297, 559, 555, 486, 546
1298, 268, 58, 215, 479
1299, 549, 212, 52, 480
1300, 547, 551, 546, 545
1301, 555, 59, 556, 486
1302, 551, 547, 546, 564
1303, 479, 559, 486, 549
1304, 555, 564, 486, 546
1305, 558, 264, 105, 550
1306, 267, 104, 560, 106
1307, 545, 259, 561, 260
1308, 559, 558, 549, 479
1309, 548, 555, 109, 104
1310, 59, 219, 556, 486
1311, 556, 70, 217, 60
1312, 103, 555, 556, 557
1313, 222, 491, 73, 553
1314, 551, 564, 546, 550
1315, 559, 556, 217, 486
1316, 219, 556, 486, 217
1317, 551, 547, 563, 108
1318, 559, 555, 556, 486
1319, 549, 559, 486, 564
1320, 66, 555, 486, 59
1321, 266, 66, 486, 564
1322, 106, 548, 560, 260
1323, 555, 266, 486, 564
1324, 555, 266, 564, 546
1325, 562, 551, 549, 564
1326, 58, 491, 559, 112
1327, 213, 479, 549, 480
1328, 268, 479, 215, 552
1329, 555, 66, 486, 266
1330, 559, 491, 217, 553
1331, 546, 545, 561, 260
1332, 552, 212, 549, 480
1333, 564, 559, 546, 550
1334, 266, 564, 546, 109
1335, 549, 559, 564, 550
1336, 213, 549, 52, 480
1337, 479, 552, 549, 480
1338, 562, 551, 110, 549
1339, 548, 555, 560, 546
1340, 558, 479, 552, 549
1341, 262, 545, 105, 550
1342, 555, 103, 104, 557
1343, 559, 479, 486, 54
1344, 104, 560, 548, 555
1345, 559, 107, 557, 560
1346, 549, 110, 554, 52
1347, 219, 556, 217, 60
1348, 264, 558, 552, 550
1349, 559, 556, 555, 557
1350, 552, 268, 111, 215
1351, 551, 545, 550, 546
1352, 491, 222, 217, 553
1353, 547, 261, 563, 108
1354, 549, 562, 564, 554
1355, 104, 560, 555, 557
1356, 562, 551, 563, 263
1357, 559, 556, 557, 553
1358, 553, 491, 73, 112
1359, 559, 555, 560, 557
1360, 551, 549, 564, 550
1361, 107, 559, 553, 112
1362, 103, 555, 59, 556
1363, 212, 552, 215, 480
1364, 546, 545, 550, 561
1365, 213, 549, 554, 52
1366, 552, 479, 215, 480
1367, 262, 551, 545, 550
1368, 559, 546, 550, 561
1369, 545, 259, 105, 550
1370, 558, 559, 550, 561
1371, 559, 491, 553, 112
1372, 268, 558, 479, 552
1373, 268, 58, 559, 112
1374, 54, 559, 58, 491
1375, 54, 58, 559, 479
1376, 560, 546, 260, 548
1377, 260, 546, 560, 561
1378, 562, 554, 110, 265
1379, 110, 554, 562, 549
1380, 213, 53, 549, 479
1381, 213, 549, 53, 554
1382, 486, 549, 53, 479
1383, 546, 555, 109, 548
1384, 546, 109, 555, 266
1385, 217, 70, 553, 222
1386, 217, 553, 70, 556
1387, 217, 559, 54, 491
1388, 217, 54, 559, 486
1389, 554, 564, 64, 562
1390, 561, 550, 259, 545
1391, 561, 259, 550, 558
1392, 64, 53, 564, 554
1393, 64, 564, 53, 486
1394, 549, 564, 53, 554
1395, 549, 53, 564, 486
1396, 834, 840, 64, 488
1397, 833, 573, 568, 587
1398, 834, 424, 835, 488
1399, 266, 66, 564, 840
1400, 573, 113, 269, 568
1401, 276, 573, 584, 587
1402, 269, 576, 572, 270
1403, 833, 573, 587, 837
1404, 590, 65, 839, 592
1405, 177, 574, 425, 575
1406, 587, 584, 579, 837
1407, 266, 590, 840, 567
1408, 582, 168, 426, 581
1409, 577, 277, 838, 575
1410, 833, 836, 839, 835
1411, 839, 836, 585, 835
1412, 576, 573, 269, 568
1413, 582, 593, 175, 22
1414, 833, 573, 837, 576
1415, 425, 427, 160, 575
1416, 584, 277, 838, 577
1417, 261, 109, 564, 567
1418, 585, 584, 581, 837
1419, 833, 836, 835, 837
1420, 580, 839, 281, 586
1421, 833, 576, 834, 578
1422, 116, 590, 566, 839
1423, 563, 263, 108, 270
1424, 833, 565, 836, 568
1425, 587, 833, 836, 568
1426, 562, 840, 564, 64
1427, 576, 574, 834, 578
1428, 834, 833, 835, 837
1429, 263, 563, 840, 578
1430, 574, 576, 834, 577
1431, 562, 263, 563, 840
1432, 839, 571, 566, 594
1433, 427, 167, 588, 426
1434, 565, 836, 570, 839
1435, 590, 65, 488, 839
1436, 840, 66, 64, 488
1437, 574, 834, 265, 589
1438, 574, 834, 425, 575
1439, 276, 113, 573, 587
1440, 839, 582, 593, 835
1441, 565, 836, 568, 570
1442, 177, 834, 24, 425
1443, 585, 582, 835, 581
1444, 834, 574, 577, 575
1445, 425, 177, 575, 20
1446, 23, 424, 592, 175
1447, 110, 574, 578, 265
1448, 579, 836, 583, 570
1449, 576, 573, 837, 577
1450, 573, 113, 568, 587
1451, 424, 834, 838, 425
1452, 277, 838, 427, 588
1453, 573, 584, 587, 837
1454, 562, 110, 578, 265
1455, 584, 577, 838, 837
1456, 577, 834, 838, 837
1457, 66, 840, 64, 564
1458, 584, 588, 581, 838
1459, 563, 263, 270, 578
1460, 836, 587, 579, 837
1461, 593, 839, 835, 592
1462, 835, 424, 838, 426
1463, 833, 834, 840, 578
1464, 424, 23, 835, 488
1465, 833, 573, 576, 568
1466, 839, 593, 591, 592
1467, 839, 583, 570, 273
1468, 272, 571, 594, 115
1469, 563, 261, 840, 569
1470, 24, 834, 64, 488
1471, 427, 21, 277, 588
1472, 280, 593, 591, 580
1473, 839, 571, 594, 586
1474, 833, 576, 837, 834
1475, 836, 579, 583, 585
1476, 576, 568, 269, 572
1477, 271, 266, 109, 567
1478, 590, 839, 840, 567
1479, 117, 280, 591, 580
1480, 582, 839, 580, 583
1481, 265, 834, 64, 589
1482, 839, 582, 585, 583
1483, 274, 579, 570, 275
1484, 834, 576, 837, 577
1485, 839, 836, 583, 585
1486, 839, 583, 273, 586
1487, 839, 580, 583, 586
1488, 839, 571, 570, 566
1489, 427, 21, 160, 277
1490, 571, 839, 570, 273
1491, 261, 563, 840, 564
1492, 271, 590, 566, 115
1493, 594, 279, 281, 586
1494, 573, 277, 584, 577
1495, 424, 835, 175, 426
1496, 582, 593, 280, 580
1497, 839, 66, 840, 488
1498, 840, 563, 270, 578
1499, 834, 424, 24, 425
1500, 563, 562, 840, 564
1501, 836, 568, 570, 275
1502, 839, 580, 281, 591
1503, 839, 594, 281, 586
1504, 834, 577, 838, 575
1505, 424, 834, 835, 838
1506, 839, 590, 840, 66
1507, 177, 574, 834, 425
1508, 590, 266, 840, 66
1509, 114, 279, 594, 586
1510, 425, 834, 838, 575
1511, 168, 582, 426, 175
1512, 427, 277, 160, 575
1513, 591, 839, 592, 281
1514, 579, 836, 570, 275
1515, 840, 562, 265, 64
1516, 271, 590, 567, 566
1517, 571, 566, 594, 115
1518, 266, 840, 564, 567
1519, 573, 584, 837, 577
1520, 571, 114, 586, 273
1521, 562, 263, 840, 578
1522, 574, 177, 834, 589
1523, 65, 590, 488, 66
1524, 838, 835, 426, 581
1525, 840, 834, 64, 265
1526, 834, 837, 835, 838
1527, 177, 574, 20, 278
1528, 277, 584, 838, 588
1529, 427, 425, 838, 575
1530, 113, 587, 275, 568
1531, 588, 167, 581, 426
1532, 583, 274, 570, 273
1533, 116, 839, 566, 594
1534, 566, 116, 594, 115
1535, 571, 114, 594, 586
1536, 582, 835, 426, 175
1537, 167, 168, 581, 426
1538, 839, 833, 840, 567
1539, 585, 837, 581, 835
1540, 563, 569, 840, 270
1541, 574, 110, 278, 589
1542, 569, 563, 108, 270
1543, 837, 584, 581, 838
1544, 177, 574, 278, 589
1545, 584, 579, 837, 585
1546, 424, 834, 24, 488
1547, 23, 424, 24, 488
1548, 569, 833, 840, 572
1549, 580, 117, 281, 591
1550, 569, 840, 270, 572
1551, 261, 563, 108, 569
1552, 110, 574, 265, 589
1553, 582, 839, 585, 835
1554, 116, 590, 839, 592
1555, 424, 23, 592, 835
1556, 833, 565, 572, 569
1557, 835, 593, 592, 175
1558, 565, 833, 572, 568
1559, 427, 167, 21, 588
1560, 834, 24, 64, 589
1561, 834, 177, 24, 589
1562, 833, 587, 836, 837
1563, 263, 562, 110, 578
1564, 839, 116, 592, 281
1565, 590, 839, 488, 66
1566, 168, 582, 175, 22
1567, 424, 835, 592, 175
1568, 116, 65, 590, 592
1569, 114, 571, 594, 272
1570, 427, 425, 426, 838
1571, 590, 116, 566, 115
1572, 425, 424, 426, 838
1573, 835, 837, 581, 838
1574, 116, 839, 594, 281
1575, 576, 833, 568, 572
1576, 117, 580, 281, 586
1577, 835, 582, 426, 581
1578, 279, 117, 281, 586
1579, 565, 839, 570, 566
1580, 274, 579, 583, 570
1581, 836, 839, 583, 570
1582, 271, 266, 567, 590
1583, 839, 590, 566, 567
1584, 266, 109, 567, 564
1585, 571, 839, 273, 586
1586, 565, 839, 566, 567
1587, 427, 588, 838, 426
1588, 425, 575, 160, 20
1589, 573, 277, 276, 584
1590, 593, 582, 175, 835
1591, 574, 177, 20, 575
1592, 277, 427, 838, 575
1593, 593, 582, 280, 22
1594, 838, 588, 581, 426
1595, 578, 270, 572, 576
1596, 572, 270, 578, 840
1597, 572, 833, 578, 576
1598, 578, 833, 572, 840
1599, 836, 585, 837, 579
1600, 837, 585, 836, 835
1601, 835, 833, 488, 839
1602, 835, 488, 833, 834
1603, 840, 488, 833, 839
1604, 840, 833, 488, 834
1605, 567, 833, 569, 565
1606, 567, 569, 833, 840
1607, 840, 261, 567, 569
1608, 840, 567, 261, 564
1609, 65, 220, 839, 592
1610, 65, 839, 220, 488
1611, 839, 220, 835, 592
1612, 839, 835, 220, 488
1613, 835, 220, 23, 592
1614, 835, 23, 220, 488
1615, 836, 275, 587, 568
1616, 587, 275, 836, 579
1617, 265, 578, 834, 574
1618, 265, 840, 578, 562
1619, 265, 578, 840, 834
1620, 580, 593, 839, 582
1621, 580, 839, 593, 591
1622, 839, 833, 565, 836
1623, 839, 565, 833, 567
1624, 600, 282, 596, 25
1625, 194, 235, 512, 444
1626, 598, 537, 444, 536
1627, 26, 596, 25, 444
1628, 282, 598, 596, 118
1629, 249, 595, 597, 538
1630, 538, 443, 597, 599
1631, 95, 249, 597, 538
1632, 595, 443, 249, 30
1633, 283, 598, 119, 596
1634, 443, 595, 191, 30
1635, 95, 595, 597, 249
1636, 538, 599, 253, 537
1637, 599, 538, 253, 597
1638, 191, 35, 230, 512
1639, 597, 236, 512, 76
1640, 34, 194, 444, 235
1641, 599, 236, 512, 597
1642, 283, 252, 598, 536
1643, 595, 443, 512, 597
1644, 600, 34, 25, 444
1645, 193, 443, 537, 444
1646, 600, 34, 444, 235
1647, 95, 538, 597, 253
1648, 595, 597, 512, 76
1649, 598, 283, 536, 596
1650, 598, 600, 596, 444
1651, 443, 538, 30, 193
1652, 443, 595, 249, 538
1653, 599, 94, 253, 537
1654, 443, 599, 537, 444
1655, 598, 600, 235, 78
1656, 537, 599, 598, 444
1657, 600, 34, 235, 78
1658, 443, 249, 30, 538
1659, 35, 194, 512, 443
1660, 443, 599, 512, 597
1661, 85, 283, 596, 536
1662, 598, 600, 444, 235
1663, 86, 252, 283, 536
1664, 194, 443, 444, 512
1665, 94, 252, 536, 598
1666, 538, 443, 537, 193
1667, 283, 86, 536, 85
1668, 235, 599, 512, 444
1669, 86, 243, 536, 85
1670, 443, 599, 444, 512
1671, 595, 443, 597, 538
1672, 598, 119, 596, 118
1673, 443, 538, 537, 599
1674, 284, 600, 282, 598
1675, 595, 95, 597, 76
1676, 236, 599, 512, 235
1677, 537, 193, 444, 29
1678, 252, 283, 598, 119
1679, 284, 600, 598, 78
1680, 94, 252, 598, 119
1681, 599, 598, 444, 235
1682, 443, 35, 191, 512
1683, 595, 512, 230, 76
1684, 596, 600, 25, 444
1685, 598, 536, 444, 596
1686, 536, 537, 444, 29
1687, 284, 598, 282, 118
1688, 600, 598, 596, 282
1689, 191, 512, 595, 443
1690, 595, 512, 191, 230
1691, 598, 537, 94, 599
1692, 598, 94, 537, 536
1693, 29, 243, 444, 536
1694, 444, 243, 29, 26
1695, 243, 596, 444, 536
1696, 444, 596, 243, 26
1697, 243, 85, 596, 536
1698, 596, 85, 243, 26
1699, 555, 103, 59, 604
1700, 605, 120, 121, 289
1701, 590, 66, 65, 59
1702, 605, 289, 121, 604
1703, 555, 266, 109, 602
1704, 590, 290, 65, 116
1705, 590, 606, 290, 116
1706, 590, 115, 606, 116
1707, 603, 61, 604, 290
1708, 605, 555, 104, 285
1709, 286, 122, 601, 606
1710, 590, 65, 604, 59
1711, 555, 66, 590, 59
1712, 121, 289, 288, 604
1713, 603, 289, 288, 124
1714, 61, 603, 287, 290
1715, 122, 602, 601, 606
1716, 555, 266, 602, 590
1717, 103, 605, 121, 604
1718, 602, 555, 104, 109
1719, 602, 605, 604, 606
1720, 555, 602, 104, 285
1721, 289, 603, 290, 124
1722, 65, 61, 604, 59
1723, 590, 271, 601, 115
1724, 289, 603, 288, 604
1725, 602, 590, 271, 601
1726, 590, 602, 606, 601
1727, 555, 590, 604, 59
1728, 605, 555, 604, 103
1729, 605, 289, 604, 606
1730, 266, 602, 590, 271
1731, 603, 123, 290, 124
1732, 605, 555, 103, 104
1733, 123, 603, 290, 287
1734, 590, 602, 604, 606
1735, 115, 286, 601, 606
1736, 602, 266, 109, 271
1737, 602, 555, 605, 285
1738, 555, 602, 605, 604
1739, 289, 606, 290, 604
1740, 590, 115, 601, 606
1741, 555, 66, 266, 590
1742, 605, 602, 285, 120
1743, 606, 590, 290, 604
1744, 602, 555, 590, 604
1745, 603, 289, 290, 604
1746, 65, 604, 290, 590
1747, 65, 290, 604, 61
1748, 122, 606, 120, 602
1749, 122, 120, 606, 289
1750, 605, 120, 606, 602
1751, 605, 606, 120, 289
1752, 408, 407, 175, 593
1753, 591, 117, 281, 610
1754, 591, 607, 610, 593
1755, 11, 608, 292, 172
1756, 11, 92, 292, 608
1757, 238, 487, 611, 523
1758, 592, 487, 408, 608
1759, 610, 612, 592, 608
1760, 220, 592, 408, 23
1761, 22, 407, 169, 593
1762, 220, 23, 408, 174
1763, 487, 220, 408, 174
1764, 609, 407, 610, 607
1765, 123, 238, 287, 611
1766, 591, 117, 291, 280
1767, 612, 487, 608, 611
1768, 612, 290, 65, 61
1769, 407, 22, 175, 593
1770, 612, 591, 610, 592
1771, 591, 612, 281, 592
1772, 608, 613, 292, 172
1773, 612, 487, 592, 608
1774, 117, 591, 291, 610
1775, 610, 591, 593, 592
1776, 487, 608, 611, 523
1777, 238, 89, 245, 611
1778, 609, 610, 408, 608
1779, 487, 63, 221, 523
1780, 609, 125, 613, 607
1781, 63, 238, 523, 487
1782, 287, 290, 611, 61
1783, 607, 591, 291, 280
1784, 592, 23, 175, 408
1785, 11, 608, 409, 523
1786, 613, 609, 608, 292
1787, 220, 487, 408, 592
1788, 221, 174, 409, 6
1789, 608, 408, 409, 523
1790, 612, 487, 611, 61
1791, 407, 609, 613, 607
1792, 92, 11, 523, 608
1793, 245, 92, 523, 608
1794, 591, 612, 610, 281
1795, 290, 612, 611, 61
1796, 612, 592, 65, 116
1797, 612, 281, 592, 116
1798, 125, 609, 291, 607
1799, 174, 487, 409, 408
1800, 408, 608, 409, 172
1801, 607, 609, 291, 610
1802, 591, 607, 291, 610
1803, 290, 123, 287, 611
1804, 607, 407, 610, 593
1805, 11, 173, 523, 409
1806, 238, 245, 523, 611
1807, 608, 11, 409, 172
1808, 487, 220, 65, 592
1809, 245, 608, 523, 611
1810, 609, 407, 408, 610
1811, 408, 487, 523, 608
1812, 612, 487, 65, 592
1813, 487, 612, 65, 61
1814, 221, 173, 409, 523
1815, 610, 592, 408, 608
1816, 613, 407, 12, 172
1817, 407, 607, 12, 169
1818, 125, 607, 12, 613
1819, 487, 174, 409, 221
1820, 592, 408, 175, 593
1821, 487, 221, 409, 523
1822, 173, 221, 409, 6
1823, 89, 238, 123, 611
1824, 607, 591, 280, 593
1825, 22, 607, 280, 593
1826, 609, 125, 292, 613
1827, 408, 487, 409, 523
1828, 290, 612, 65, 116
1829, 607, 407, 12, 613
1830, 607, 22, 169, 593
1831, 238, 63, 61, 487
1832, 407, 607, 169, 593
1833, 608, 613, 408, 609
1834, 608, 408, 613, 172
1835, 407, 408, 613, 609
1836, 407, 613, 408, 172
1837, 593, 408, 610, 592
1838, 593, 610, 408, 407
1839, 61, 611, 238, 487
1840, 61, 238, 611, 287
1841, 553, 614, 107, 40
1842, 553, 102, 614, 70
1843, 73, 74, 553, 112
1844, 48, 553, 615, 112
1845, 222, 553, 67, 70
1846, 74, 48, 615, 112
1847, 126, 102, 67, 614
1848, 553, 74, 615, 112
1849, 614, 102, 67, 70
1850, 614, 553, 67, 615
1851, 47, 43, 615, 48
1852, 126, 43, 614, 615
1853, 48, 43, 614, 40
1854, 48, 43, 615, 614
1855, 553, 222, 67, 615
1856, 222, 74, 67, 615
1857, 102, 553, 614, 107
1858, 74, 222, 553, 615
1859, 222, 73, 74, 553
1860, 553, 48, 615, 614
1861, 48, 553, 112, 107
1862, 74, 47, 615, 48
1863, 126, 614, 67, 615
1864, 553, 614, 67, 70
1865, 553, 48, 614, 40
1866, 48, 553, 107, 40
1867, 556, 219, 59, 485
1868, 239, 618, 90, 517
1869, 238, 89, 603, 517
1870, 70, 218, 556, 67
1871, 556, 218, 219, 485
1872, 604, 617, 121, 616
1873, 618, 603, 288, 124
1874, 516, 238, 63, 61
1875, 603, 516, 485, 61
1876, 238, 516, 603, 61
1877, 516, 617, 616, 517
1878, 516, 218, 485, 62
1879, 123, 89, 603, 238
1880, 617, 618, 517, 603
1881, 604, 102, 126, 103
1882, 126, 604, 103, 121
1883, 604, 617, 616, 516
1884, 126, 616, 121, 127
1885, 102, 70, 556, 67
1886, 126, 604, 121, 616
1887, 238, 287, 61, 603
1888, 516, 62, 485, 63
1889, 89, 123, 603, 124
1890, 618, 89, 603, 124
1891, 218, 556, 219, 60
1892, 616, 617, 121, 127
1893, 618, 617, 288, 603
1894, 89, 618, 90, 124
1895, 618, 89, 90, 517
1896, 516, 218, 616, 485
1897, 604, 556, 59, 485
1898, 218, 516, 616, 68
1899, 67, 218, 616, 68
1900, 604, 516, 616, 485
1901, 293, 617, 616, 127
1902, 287, 123, 603, 238
1903, 102, 604, 556, 103
1904, 556, 218, 485, 616
1905, 617, 239, 517, 618
1906, 604, 617, 288, 121
1907, 604, 556, 485, 616
1908, 617, 237, 616, 517
1909, 516, 63, 485, 61
1910, 556, 604, 126, 616
1911, 102, 556, 126, 67
1912, 102, 604, 126, 556
1913, 604, 617, 517, 603
1914, 617, 604, 517, 516
1915, 516, 604, 517, 603
1916, 67, 556, 126, 616
1917, 237, 617, 616, 293
1918, 218, 556, 67, 616
1919, 617, 239, 87, 517
1920, 604, 603, 485, 61
1921, 516, 237, 616, 68
1922, 556, 604, 59, 103
1923, 218, 516, 68, 62
1924, 237, 516, 616, 517
1925, 617, 604, 288, 603
1926, 293, 617, 87, 517
1927, 604, 516, 485, 603
1928, 604, 485, 59, 61
1929, 516, 238, 603, 517
1930, 89, 618, 603, 517
1931, 218, 70, 556, 60
1932, 237, 293, 87, 517
1933, 237, 617, 293, 517
1934, 624, 631, 847, 848
1935, 297, 844, 623, 632
1936, 308, 130, 643, 843
1937, 629, 474, 847, 208
1938, 637, 306, 845, 650
1939, 626, 629, 475, 847
1940, 640, 299, 639, 625
1941, 842, 844, 841, 847
1942, 492, 842, 58, 214
1943, 631, 844, 632, 625
1944, 51, 130, 843, 71
1945, 133, 295, 638, 621
1946, 631, 622, 844, 846
1947, 303, 81, 627, 84
1948, 624, 629, 626, 847
1949, 846, 635, 628, 296
1950, 846, 634, 636, 845
1951, 308, 646, 843, 643
1952, 51, 843, 130, 648
1953, 297, 632, 298, 129
1954, 268, 842, 58, 112
1955, 651, 846, 305, 845
1956, 650, 637, 843, 845
1957, 631, 846, 628, 296
1958, 624, 848, 845, 628
1959, 629, 204, 475, 208
1960, 651, 306, 636, 305
1961, 624, 628, 845, 634
1962, 631, 624, 847, 625
1963, 637, 306, 636, 845
1964, 846, 622, 621, 296
1965, 640, 639, 847, 625
1966, 843, 644, 309, 645
1967, 492, 848, 643, 71
1968, 842, 268, 641, 112
1969, 848, 650, 843, 845
1970, 83, 81, 627, 82
1971, 492, 848, 74, 847
1972, 648, 50, 626, 304
1973, 74, 48, 641, 847
1974, 83, 304, 647, 627
1975, 624, 848, 843, 845
1976, 642, 842, 623, 111
1977, 303, 637, 302, 630
1978, 846, 619, 649, 621
1979, 303, 81, 307, 627
1980, 650, 848, 841, 845
1981, 651, 650, 841, 845
1982, 848, 846, 841, 845
1983, 622, 846, 619, 841
1984, 216, 56, 649, 482
1985, 846, 651, 841, 845
1986, 619, 846, 649, 841
1987, 643, 848, 843, 71
1988, 216, 651, 57, 841
1989, 481, 620, 211, 482
1990, 630, 637, 302, 634
1991, 48, 74, 641, 112
1992, 635, 128, 638, 301
1993, 640, 629, 49, 299
1994, 628, 846, 845, 634
1995, 651, 216, 649, 841
1996, 642, 842, 844, 623
1997, 633, 647, 304, 627
1998, 844, 622, 623, 841
1999, 846, 305, 621, 649
2000, 131, 308, 644, 843
2001, 626, 633, 843, 648
2002, 268, 620, 842, 111
2003, 308, 131, 130, 843
2004, 297, 631, 622, 844
2005, 624, 626, 848, 847
2006, 204, 629, 475, 626
2007, 842, 844, 847, 639
2008, 630, 624, 845, 634
2009, 848, 492, 74, 71
2010, 483, 216, 57, 841
2011, 624, 629, 847, 625
2012, 842, 492, 847, 841
2013, 637, 303, 307, 843
2014, 622, 844, 846, 841
2015, 639, 844, 847, 625
2016, 626, 624, 848, 843
2017, 210, 51, 648, 475
2018, 474, 629, 475, 208
2019, 629, 640, 847, 625
2020, 214, 842, 483, 841
2021, 844, 642, 632, 300
2022, 631, 297, 632, 844
2023, 620, 481, 841, 482
2024, 268, 642, 842, 639
2025, 842, 639, 847, 641
2026, 492, 842, 214, 841
2027, 620, 619, 211, 482
2028, 131, 644, 309, 843
2029, 49, 629, 208, 204
2030, 846, 305, 636, 638
2031, 483, 216, 841, 482
2032, 631, 622, 846, 296
2033, 842, 620, 481, 841
2034, 111, 642, 298, 623
2035, 848, 846, 845, 628
2036, 492, 848, 841, 650
2037, 635, 295, 638, 128
2038, 637, 630, 845, 634
2039, 639, 640, 847, 641
2040, 632, 642, 298, 129
2041, 626, 210, 475, 50
2042, 648, 50, 210, 626
2043, 306, 651, 636, 845
2044, 648, 131, 309, 843
2045, 642, 842, 639, 844
2046, 633, 647, 627, 843
2047, 303, 307, 843, 627
2048, 642, 632, 300, 129
2049, 651, 846, 649, 305
2050, 633, 647, 648, 304
2051, 204, 626, 475, 50
2052, 306, 637, 134, 650
2053, 646, 650, 132, 134
2054, 642, 268, 842, 111
2055, 216, 841, 482, 649
2056, 642, 844, 632, 298
2057, 846, 651, 649, 841
2058, 842, 620, 623, 111
2059, 268, 620, 111, 215
2060, 214, 483, 57, 841
2061, 56, 619, 649, 482
2062, 648, 626, 475, 843
2063, 848, 650, 643, 843
2064, 631, 844, 848, 846
2065, 645, 82, 647, 627
2066, 650, 646, 643, 843
2067, 633, 624, 843, 630
2068, 51, 648, 475, 843
2069, 474, 51, 475, 843
2070, 844, 848, 841, 847
2071, 846, 622, 619, 621
2072, 639, 844, 625, 300
2073, 844, 632, 625, 300
2074, 635, 846, 301, 638
2075, 640, 629, 847, 208
2076, 81, 83, 627, 84
2077, 842, 620, 215, 481
2078, 128, 635, 621, 296
2079, 295, 635, 621, 128
2080, 306, 651, 845, 650
2081, 133, 294, 621, 649
2082, 846, 635, 301, 628
2083, 492, 848, 847, 841
2084, 619, 620, 623, 841
2085, 268, 620, 215, 842
2086, 492, 72, 71, 643
2087, 72, 650, 132, 643
2088, 619, 620, 841, 482
2089, 481, 483, 841, 482
2090, 640, 629, 299, 625
2091, 481, 842, 841, 483
2092, 846, 305, 845, 636
2093, 305, 133, 621, 649
2094, 642, 844, 639, 300
2095, 635, 846, 621, 296
2096, 492, 214, 57, 841
2097, 650, 651, 841, 57
2098, 619, 294, 649, 621
2099, 299, 639, 625, 300
2100, 845, 634, 636, 302
2101, 630, 633, 627, 843
2102, 650, 646, 132, 643
2103, 846, 301, 636, 634
2104, 72, 492, 57, 650
2105, 646, 308, 132, 643
2106, 637, 845, 636, 302
2107, 622, 297, 844, 623
2108, 633, 624, 626, 843
2109, 481, 842, 483, 215
2110, 846, 305, 638, 621
2111, 626, 210, 648, 475
2112, 637, 630, 843, 845
2113, 650, 637, 134, 843
2114, 646, 650, 134, 843
2115, 842, 268, 58, 215
2116, 633, 647, 843, 648
2117, 842, 58, 483, 215
2118, 637, 634, 845, 302
2119, 846, 635, 621, 638
2120, 83, 82, 627, 647
2121, 651, 305, 636, 845
2122, 635, 295, 621, 638
2123, 634, 301, 636, 302
2124, 844, 846, 841, 848
2125, 305, 133, 638, 621
2126, 642, 844, 298, 623
2127, 620, 481, 211, 55
2128, 648, 843, 309, 647
2129, 304, 633, 626, 648
2130, 56, 294, 649, 619
2131, 640, 629, 208, 49
2132, 846, 301, 634, 628
2133, 81, 82, 645, 627
2134, 303, 637, 630, 843
2135, 644, 646, 307, 843
2136, 848, 492, 643, 650
2137, 492, 72, 643, 650
2138, 307, 81, 645, 627
2139, 131, 648, 130, 843
2140, 631, 844, 847, 848
2141, 641, 640, 847, 208
2142, 308, 644, 843, 646
2143, 844, 631, 847, 625
2144, 842, 268, 639, 641
2145, 622, 619, 623, 841
2146, 130, 643, 843, 71
2147, 309, 82, 647, 645
2148, 492, 650, 841, 57
2149, 843, 309, 647, 645
2150, 620, 842, 623, 841
2151, 301, 846, 636, 638
2152, 842, 844, 623, 841
2153, 843, 645, 647, 627
2154, 630, 624, 843, 845
2155, 843, 307, 645, 627
2156, 842, 58, 214, 483
2157, 620, 111, 215, 55
2158, 644, 307, 645, 843
2159, 303, 630, 627, 843
2160, 481, 620, 215, 55
2161, 841, 619, 482, 649
2162, 56, 619, 482, 211
2163, 631, 846, 848, 628
2164, 624, 631, 848, 628
2165, 297, 631, 296, 622
2166, 629, 474, 475, 847
2167, 632, 844, 623, 298
2168, 297, 632, 623, 298
2169, 47, 48, 847, 474
2170, 47, 847, 48, 74
2171, 848, 47, 847, 474
2172, 848, 847, 47, 74
2173, 71, 848, 47, 74
2174, 847, 48, 208, 474
2175, 847, 208, 48, 641
2176, 112, 842, 847, 641
2177, 112, 58, 847, 842
2178, 492, 847, 58, 842
2179, 847, 475, 848, 474
2180, 847, 848, 475, 626
2181, 843, 848, 475, 474
2182, 843, 475, 848, 626
2183, 843, 134, 307, 637
2184, 843, 307, 134, 646
2185, 848, 47, 843, 71
2186, 848, 843, 47, 474
2187, 51, 843, 47, 71
2188, 51, 47, 843, 474
2189, 74, 112, 847, 641
2190, 73, 74, 847, 492
2191, 847, 74, 73, 112
2192, 847, 58, 73, 492
2193, 73, 58, 847, 112
2194, 660, 318, 653, 658
2195, 316, 652, 313, 656
2196, 255, 542, 659, 849
2197, 288, 618, 664, 617
2198, 663, 288, 664, 617
2199, 666, 663, 665, 850
2200, 96, 316, 656, 661
2201, 318, 660, 137, 658
2202, 256, 657, 662, 541
2203, 542, 99, 255, 659
2204, 850, 659, 137, 254
2205, 850, 654, 653, 315
2206, 659, 99, 137, 254
2207, 660, 850, 137, 658
2208, 652, 849, 661, 312
2209, 542, 255, 541, 849
2210, 314, 652, 662, 138
2211, 256, 662, 849, 541
2212, 652, 317, 662, 138
2213, 652, 317, 138, 313
2214, 655, 311, 659, 312
2215, 654, 663, 122, 315
2216, 657, 662, 541, 849
2217, 655, 311, 850, 659
2218, 663, 850, 664, 665
2219, 526, 617, 87, 293
2220, 663, 121, 654, 289
2221, 850, 542, 849, 659
2222, 289, 663, 288, 664
2223, 666, 655, 849, 662
2224, 663, 666, 315, 850
2225, 850, 655, 659, 849
2226, 666, 655, 315, 850
2227, 316, 652, 135, 313
2228, 655, 666, 315, 314
2229, 655, 850, 653, 315
2230, 311, 660, 850, 659
2231, 850, 663, 654, 315
2232, 121, 663, 288, 289
2233, 666, 655, 662, 314
2234, 652, 655, 849, 312
2235, 239, 618, 617, 664
2236, 850, 663, 664, 617
2237, 526, 665, 91, 246
2238, 652, 316, 135, 661
2239, 654, 289, 120, 122
2240, 652, 317, 656, 662
2241, 660, 311, 653, 136
2242, 663, 850, 654, 658
2243, 850, 660, 653, 658
2244, 850, 127, 137, 658
2245, 542, 850, 254, 659
2246, 318, 310, 653, 658
2247, 618, 124, 288, 664
2248, 663, 121, 288, 617
2249, 850, 127, 658, 617
2250, 317, 657, 662, 100
2251, 526, 665, 246, 664
2252, 127, 850, 137, 254
2253, 665, 850, 664, 617
2254, 656, 652, 849, 661
2255, 239, 526, 246, 664
2256, 99, 542, 254, 659
2257, 850, 542, 254, 540
2258, 662, 657, 656, 849
2259, 657, 256, 662, 100
2260, 311, 660, 653, 850
2261, 652, 317, 313, 656
2262, 121, 663, 654, 658
2263, 657, 247, 541, 100
2264, 256, 657, 541, 100
2265, 121, 289, 120, 654
2266, 654, 850, 653, 658
2267, 127, 121, 658, 617
2268, 665, 526, 293, 617
2269, 655, 311, 653, 850
2270, 665, 526, 91, 241
2271, 665, 241, 91, 540
2272, 542, 850, 665, 540
2273, 659, 255, 849, 661
2274, 317, 657, 656, 662
2275, 655, 652, 849, 662
2276, 316, 652, 656, 661
2277, 127, 850, 293, 617
2278, 850, 665, 293, 617
2279, 239, 90, 664, 246
2280, 314, 655, 662, 652
2281, 124, 289, 288, 664
2282, 90, 239, 664, 618
2283, 654, 121, 658, 120
2284, 256, 665, 91, 540
2285, 256, 542, 665, 540
2286, 88, 526, 87, 293
2287, 850, 127, 293, 254
2288, 660, 850, 659, 137
2289, 654, 120, 658, 310
2290, 652, 135, 312, 661
2291, 256, 666, 849, 662
2292, 96, 247, 541, 656
2293, 662, 652, 849, 656
2294, 310, 654, 653, 658
2295, 655, 666, 849, 850
2296, 90, 124, 618, 664
2297, 96, 541, 849, 656
2298, 542, 256, 849, 541
2299, 850, 542, 665, 849
2300, 666, 850, 665, 849
2301, 542, 256, 665, 849
2302, 256, 666, 665, 849
2303, 289, 663, 122, 654
2304, 526, 239, 87, 617
2305, 96, 656, 849, 661
2306, 658, 663, 617, 121
2307, 658, 617, 663, 850
2308, 241, 88, 665, 526
2309, 241, 665, 88, 540
2310, 293, 665, 88, 526
2311, 849, 96, 255, 541
2312, 849, 255, 96, 661
2313, 318, 653, 136, 660
2314, 318, 136, 653, 310
2315, 664, 526, 617, 239
2316, 664, 617, 526, 665
2317, 312, 849, 659, 655
2318, 312, 659, 849, 661
2319, 656, 541, 657, 247
2320, 656, 657, 541, 849
2321, 665, 88, 850, 293
2322, 665, 850, 88, 540
2323, 254, 850, 88, 293
2324, 254, 88, 850, 540
2325, 419, 165, 690, 166
2326, 674, 856, 676, 675
2327, 187, 452, 670, 15
2328, 860, 856, 676, 692
2329, 92, 527, 864, 695
2330, 674, 140, 698, 326
2331, 860, 856, 687, 681
2332, 864, 244, 544, 857
2333, 447, 864, 544, 857
2334, 448, 447, 857, 858
2335, 447, 244, 544, 864
2336, 292, 696, 683, 328
2337, 676, 852, 692, 324
2338, 863, 685, 417, 682
2339, 667, 321, 855, 686
2340, 864, 860, 695, 857
2341, 180, 181, 865, 416
2342, 452, 449, 187, 855
2343, 856, 860, 687, 692
2344, 864, 453, 862, 858
2345, 860, 856, 695, 857
2346, 674, 856, 675, 857
2347, 325, 856, 698, 684
2348, 861, 686, 854, 855
2349, 852, 689, 691, 692
2350, 861, 693, 692, 691
2351, 856, 694, 695, 857
2352, 682, 125, 12, 613
2353, 19, 418, 11, 527
2354, 19, 418, 451, 181
2355, 675, 676, 673, 858
2356, 863, 693, 681, 860
2357, 527, 447, 244, 28
2358, 674, 325, 676, 856
2359, 11, 863, 417, 172
2360, 329, 696, 684, 698
2361, 325, 698, 856, 674
2362, 696, 856, 698, 694
2363, 420, 419, 855, 421
2364, 853, 852, 858, 673
2365, 685, 863, 417, 419
2366, 418, 863, 11, 527
2367, 325, 856, 684, 687
2368, 864, 451, 862, 453
2369, 669, 449, 854, 187
2370, 854, 667, 670, 855
2371, 689, 852, 323, 692
2372, 852, 689, 861, 691
2373, 672, 188, 320, 450
2374, 27, 672, 320, 450
2375, 682, 164, 417, 172
2376, 863, 859, 861, 862
2377, 689, 668, 677, 851
2378, 863, 92, 11, 527
2379, 685, 419, 165, 690
2380, 859, 863, 861, 693
2381, 696, 683, 328, 684
2382, 682, 863, 172, 417
2383, 676, 856, 687, 692
2384, 678, 852, 676, 324
2385, 181, 180, 865, 452
2386, 686, 321, 855, 688
2387, 667, 321, 686, 322
2388, 449, 452, 865, 855
2389, 853, 852, 862, 858
2390, 453, 853, 450, 862
2391, 420, 153, 421, 855
2392, 188, 27, 320, 450
2393, 325, 676, 687, 324
2394, 668, 689, 854, 851
2395, 671, 680, 673, 858
2396, 859, 686, 861, 855
2397, 420, 452, 670, 855
2398, 125, 682, 683, 613
2399, 672, 669, 851, 320
2400, 667, 321, 670, 855
2401, 859, 863, 419, 416
2402, 139, 689, 677, 323
2403, 678, 853, 672, 673
2404, 668, 319, 677, 851
2405, 689, 139, 677, 668
2406, 449, 453, 450, 862
2407, 419, 690, 855, 421
2408, 854, 669, 851, 862
2409, 153, 421, 855, 688
2410, 859, 419, 855, 420
2411, 92, 863, 864, 527
2412, 861, 859, 855, 862
2413, 92, 863, 11, 292
2414, 321, 153, 670, 855
2415, 527, 92, 93, 695
2416, 421, 153, 10, 688
2417, 852, 678, 673, 853
2418, 860, 687, 692, 681
2419, 685, 419, 417, 165
2420, 864, 527, 857, 695
2421, 860, 852, 692, 676
2422, 679, 857, 680, 250
2423, 448, 198, 680, 857
2424, 12, 682, 613, 172
2425, 180, 452, 420, 865
2426, 860, 864, 862, 858
2427, 679, 675, 680, 857
2428, 198, 544, 250, 680
2429, 863, 864, 865, 862
2430, 198, 857, 544, 680
2431, 292, 125, 683, 613
2432, 164, 685, 417, 165
2433, 187, 854, 670, 855
2434, 697, 679, 258, 857
2435, 683, 856, 687, 684
2436, 679, 697, 101, 327
2437, 856, 674, 698, 694
2438, 696, 856, 683, 684
2439, 857, 697, 695, 258
2440, 669, 853, 851, 862
2441, 447, 864, 857, 858
2442, 447, 527, 244, 864
2443, 693, 863, 861, 860
2444, 854, 861, 855, 862
2445, 418, 863, 527, 864
2446, 188, 672, 669, 450
2447, 418, 19, 197, 527
2448, 853, 454, 450, 672
2449, 451, 449, 862, 453
2450, 671, 448, 680, 858
2451, 852, 861, 692, 691
2452, 319, 668, 669, 851
2453, 672, 320, 851, 677
2454, 451, 181, 865, 452
2455, 667, 669, 854, 187
2456, 860, 863, 861, 862
2457, 244, 527, 93, 695
2458, 244, 527, 857, 864
2459, 863, 292, 683, 682
2460, 125, 292, 683, 328
2461, 319, 669, 677, 851
2462, 418, 451, 181, 865
2463, 452, 180, 420, 15
2464, 326, 674, 694, 698
2465, 863, 859, 865, 416
2466, 322, 667, 668, 854
2467, 690, 419, 166, 421
2468, 452, 420, 865, 855
2469, 852, 860, 858, 676
2470, 667, 686, 855, 854
2471, 856, 860, 858, 857
2472, 452, 187, 670, 855
2473, 859, 686, 691, 861
2474, 686, 859, 691, 690
2475, 454, 671, 672, 853
2476, 672, 853, 669, 450
2477, 856, 696, 695, 694
2478, 693, 859, 691, 861
2479, 852, 853, 851, 672
2480, 859, 693, 691, 690
2481, 853, 669, 450, 862
2482, 689, 322, 668, 854
2483, 449, 854, 187, 855
2484, 685, 164, 417, 682
2485, 447, 451, 864, 453
2486, 164, 682, 12, 172
2487, 418, 863, 417, 11
2488, 419, 859, 416, 420
2489, 322, 689, 686, 854
2490, 667, 322, 686, 854
2491, 421, 690, 855, 688
2492, 669, 667, 854, 851
2493, 420, 859, 865, 855
2494, 857, 448, 858, 680
2495, 852, 860, 692, 861
2496, 451, 418, 864, 865
2497, 188, 449, 450, 669
2498, 418, 181, 416, 865
2499, 453, 853, 862, 858
2500, 451, 864, 862, 865
2501, 669, 449, 450, 862
2502, 863, 418, 416, 865
2503, 682, 292, 683, 613
2504, 418, 863, 864, 865
2505, 667, 668, 854, 851
2506, 857, 679, 258, 544
2507, 668, 667, 669, 851
2508, 674, 675, 679, 857
2509, 674, 326, 694, 327
2510, 678, 323, 677, 851
2511, 678, 852, 323, 851
2512, 672, 853, 851, 669
2513, 323, 689, 677, 851
2514, 859, 863, 865, 862
2515, 694, 697, 695, 857
2516, 671, 448, 853, 453
2517, 320, 669, 851, 677
2518, 447, 527, 197, 28
2519, 852, 689, 323, 851
2520, 861, 689, 851, 854
2521, 852, 689, 851, 861
2522, 861, 852, 862, 851
2523, 852, 853, 862, 851
2524, 852, 860, 862, 858
2525, 454, 671, 853, 453
2526, 153, 321, 10, 688
2527, 671, 454, 448, 453
2528, 690, 686, 855, 688
2529, 447, 198, 544, 28
2530, 244, 447, 544, 28
2531, 853, 454, 453, 450
2532, 863, 92, 864, 695
2533, 854, 861, 862, 851
2534, 93, 544, 695, 258
2535, 860, 852, 862, 861
2536, 448, 190, 680, 31
2537, 198, 448, 680, 31
2538, 697, 674, 857, 694
2539, 448, 853, 453, 858
2540, 680, 675, 673, 858
2541, 696, 856, 684, 698
2542, 325, 140, 684, 698
2543, 671, 454, 672, 189
2544, 856, 683, 687, 681
2545, 448, 671, 853, 858
2546, 853, 671, 673, 858
2547, 860, 864, 858, 857
2548, 678, 852, 672, 853
2549, 865, 449, 855, 862
2550, 689, 139, 668, 322
2551, 678, 672, 851, 677
2552, 544, 857, 250, 680
2553, 153, 420, 670, 855
2554, 859, 865, 855, 862
2555, 292, 682, 172, 613
2556, 454, 671, 190, 189
2557, 671, 454, 190, 448
2558, 292, 863, 172, 682
2559, 329, 696, 328, 684
2560, 863, 685, 693, 690
2561, 859, 863, 693, 690
2562, 451, 452, 865, 449
2563, 668, 139, 677, 319
2564, 856, 860, 695, 683
2565, 863, 860, 864, 862
2566, 449, 188, 187, 669
2567, 696, 856, 695, 683
2568, 697, 674, 679, 857
2569, 674, 856, 857, 694
2570, 856, 860, 683, 681
2571, 448, 671, 680, 190
2572, 92, 863, 292, 695
2573, 697, 679, 101, 258
2574, 198, 447, 544, 857
2575, 860, 863, 864, 695
2576, 697, 674, 327, 679
2577, 696, 292, 683, 695
2578, 863, 860, 683, 695
2579, 292, 863, 683, 695
2580, 189, 454, 672, 450
2581, 856, 675, 858, 676
2582, 675, 856, 858, 857
2583, 189, 27, 450, 672
2584, 860, 856, 858, 676
2585, 853, 671, 672, 673
2586, 676, 678, 673, 858
2587, 678, 852, 673, 858
2588, 419, 859, 855, 690
2589, 852, 678, 676, 858
2590, 416, 180, 420, 865
2591, 859, 416, 420, 865
2592, 679, 250, 101, 258
2593, 679, 544, 250, 258
2594, 153, 321, 688, 855
2595, 449, 669, 854, 862
2596, 682, 863, 681, 683
2597, 449, 854, 855, 862
2598, 188, 672, 320, 669
2599, 452, 420, 670, 15
2600, 685, 863, 681, 682
2601, 859, 686, 855, 690
2602, 678, 852, 851, 672
2603, 687, 676, 692, 324
2604, 863, 685, 681, 693
2605, 863, 860, 681, 683
2606, 860, 693, 692, 861
2607, 667, 854, 670, 187
2608, 856, 325, 676, 687
2609, 140, 329, 684, 698
2610, 527, 244, 857, 695
2611, 15, 420, 670, 153
2612, 697, 674, 694, 327
2613, 166, 421, 10, 688
2614, 19, 418, 197, 451
2615, 527, 447, 197, 864
2616, 857, 675, 680, 858
2617, 198, 447, 857, 448
2618, 447, 451, 197, 864
2619, 418, 527, 197, 864
2620, 863, 418, 417, 416
2621, 419, 863, 417, 416
2622, 292, 863, 11, 172
2623, 674, 140, 325, 698
2624, 451, 418, 197, 864
2625, 544, 857, 695, 258
2626, 250, 198, 680, 31
2627, 679, 857, 250, 544
2628, 319, 669, 320, 677
2629, 449, 451, 862, 865
2630, 166, 690, 421, 688
2631, 693, 860, 692, 681
2632, 324, 852, 323, 678
2633, 324, 323, 852, 692
2634, 858, 447, 453, 448
2635, 858, 453, 447, 864
2636, 861, 686, 689, 854
2637, 861, 689, 686, 691
2638, 695, 244, 544, 93
2639, 695, 544, 244, 857
2640, 690, 863, 419, 859
2641, 690, 419, 863, 685
2642, 714, 138, 707, 662
2643, 715, 713, 870, 709
2644, 875, 727, 609, 877
2645, 717, 705, 331, 141
2646, 713, 543, 697, 101
2647, 703, 876, 700, 867
2648, 873, 867, 868, 711
2649, 867, 873, 700, 711
2650, 703, 704, 700, 876
2651, 664, 611, 879, 89
2652, 725, 706, 866, 719
2653, 877, 608, 879, 612
2654, 606, 702, 866, 612
2655, 317, 100, 662, 710
2656, 877, 608, 871, 879
2657, 703, 666, 315, 881
2658, 694, 709, 869, 870
2659, 876, 867, 881, 880
2660, 289, 290, 881, 879
2661, 872, 715, 868, 867
2662, 873, 874, 868, 878
2663, 716, 698, 869, 723
2664, 874, 873, 868, 711
2665, 710, 100, 662, 256
2666, 724, 708, 334, 114
2667, 611, 245, 879, 89
2668, 705, 717, 332, 141
2669, 706, 704, 719, 333
2670, 704, 719, 333, 720
2671, 878, 874, 871, 869
2672, 245, 91, 879, 246
2673, 874, 873, 711, 712
2674, 727, 875, 721, 877
2675, 666, 880, 663, 881
2676, 696, 329, 869, 698
2677, 281, 594, 116, 612
2678, 91, 665, 879, 246
2679, 726, 727, 721, 877
2680, 872, 666, 880, 256
2681, 870, 872, 871, 256
2682, 703, 666, 707, 314
2683, 872, 710, 662, 256
2684, 714, 872, 715, 710
2685, 725, 706, 708, 866
2686, 873, 874, 722, 712
2687, 875, 878, 871, 869
2688, 332, 704, 333, 720
2689, 594, 724, 866, 281
2690, 245, 90, 246, 879
2691, 877, 879, 871, 880
2692, 91, 665, 256, 880
2693, 666, 707, 314, 662
2694, 876, 873, 868, 878
2695, 866, 606, 612, 881
2696, 873, 876, 718, 878
2697, 694, 697, 709, 870
2698, 874, 873, 718, 878
2699, 704, 873, 705, 700
2700, 874, 709, 868, 870
2701, 877, 875, 721, 878
2702, 709, 874, 712, 869
2703, 724, 279, 281, 594
2704, 718, 876, 721, 878
2705, 666, 665, 880, 256
2706, 695, 92, 871, 292
2707, 873, 717, 711, 712
2708, 725, 726, 721, 877
2709, 873, 876, 720, 718
2710, 876, 866, 721, 878
2711, 876, 878, 868, 880
2712, 707, 714, 662, 867
2713, 91, 256, 871, 880
2714, 866, 876, 721, 719
2715, 328, 875, 696, 728
2716, 606, 702, 115, 286
2717, 725, 866, 877, 721
2718, 696, 875, 871, 869
2719, 716, 709, 712, 869
2720, 706, 719, 334, 333
2721, 706, 725, 334, 719
2722, 718, 874, 723, 722
2723, 704, 873, 876, 720
2724, 876, 873, 700, 867
2725, 92, 93, 695, 871
2726, 876, 704, 719, 866
2727, 698, 329, 869, 723
2728, 328, 727, 875, 728
2729, 874, 868, 712, 711
2730, 879, 877, 612, 881
2731, 606, 290, 612, 881
2732, 726, 610, 117, 291
2733, 666, 703, 867, 880
2734, 705, 704, 332, 720
2735, 716, 140, 723, 335
2736, 608, 92, 292, 871
2737, 875, 877, 871, 878
2738, 90, 664, 879, 89
2739, 727, 875, 609, 292
2740, 717, 873, 722, 712
2741, 664, 665, 246, 879
2742, 91, 245, 879, 871
2743, 867, 876, 868, 880
2744, 91, 92, 245, 871
2745, 608, 245, 871, 879
2746, 606, 122, 701, 286
2747, 866, 877, 612, 610
2748, 696, 694, 869, 870
2749, 695, 694, 696, 870
2750, 875, 728, 869, 696
2751, 872, 714, 662, 710
2752, 272, 594, 114, 708
2753, 709, 874, 869, 870
2754, 695, 696, 871, 870
2755, 714, 138, 330, 707
2756, 694, 696, 869, 698
2757, 290, 611, 612, 879
2758, 707, 867, 700, 711
2759, 728, 874, 878, 869
2760, 727, 726, 609, 877
2761, 722, 336, 712, 335
2762, 258, 93, 256, 870
2763, 713, 327, 697, 709
2764, 875, 608, 292, 871
2765, 703, 707, 867, 700
2766, 725, 706, 334, 708
2767, 695, 93, 870, 871
2768, 876, 703, 881, 867
2769, 877, 878, 881, 880
2770, 867, 703, 881, 880
2771, 608, 611, 879, 612
2772, 702, 594, 708, 866
2773, 326, 694, 709, 698
2774, 705, 332, 722, 720
2775, 874, 722, 712, 723
2776, 877, 866, 881, 878
2777, 726, 727, 609, 291
2778, 881, 666, 315, 663
2779, 866, 725, 719, 721
2780, 289, 606, 881, 290
2781, 141, 717, 332, 722
2782, 717, 705, 332, 722
2783, 93, 258, 695, 870
2784, 714, 872, 867, 715
2785, 726, 281, 117, 610
2786, 93, 870, 871, 256
2787, 281, 866, 612, 610
2788, 728, 718, 721, 878
2789, 315, 122, 701, 663
2790, 608, 245, 879, 611
2791, 666, 872, 662, 256
2792, 245, 90, 879, 89
2793, 716, 698, 709, 869
2794, 289, 664, 879, 881
2795, 866, 702, 881, 701
2796, 702, 606, 116, 612
2797, 90, 664, 246, 879
2798, 878, 877, 871, 880
2799, 872, 880, 871, 256
2800, 272, 702, 115, 594
2801, 698, 694, 709, 869
2802, 327, 694, 697, 709
2803, 716, 326, 709, 698
2804, 702, 606, 701, 286
2805, 664, 289, 663, 881
2806, 724, 726, 281, 117
2807, 724, 279, 594, 708
2808, 279, 724, 281, 117
2809, 724, 279, 708, 114
2810, 666, 703, 315, 314
2811, 125, 727, 609, 292
2812, 727, 125, 609, 291
2813, 876, 718, 721, 719
2814, 125, 328, 727, 292
2815, 336, 717, 141, 722
2816, 875, 728, 878, 869
2817, 713, 697, 870, 709
2818, 713, 872, 870, 543
2819, 724, 725, 334, 708
2820, 664, 90, 124, 89
2821, 702, 272, 708, 594
2822, 91, 871, 256, 93
2823, 543, 872, 870, 256
2824, 594, 281, 866, 612
2825, 702, 594, 866, 612
2826, 706, 702, 708, 866
2827, 724, 725, 708, 866
2828, 326, 716, 140, 698
2829, 609, 608, 877, 610
2830, 713, 543, 870, 697
2831, 606, 702, 881, 866
2832, 258, 543, 870, 256
2833, 140, 716, 723, 698
2834, 706, 704, 699, 866
2835, 331, 330, 700, 711
2836, 879, 877, 881, 880
2837, 606, 290, 116, 612
2838, 704, 876, 699, 866
2839, 704, 703, 699, 876
2840, 713, 543, 101, 251
2841, 327, 326, 694, 709
2842, 699, 866, 881, 701
2843, 251, 256, 710, 543
2844, 702, 866, 699, 701
2845, 872, 713, 710, 543
2846, 329, 140, 723, 698
2847, 703, 666, 881, 880
2848, 877, 866, 612, 881
2849, 875, 728, 721, 878
2850, 875, 727, 721, 728
2851, 666, 665, 663, 880
2852, 702, 706, 699, 866
2853, 327, 713, 697, 101
2854, 543, 258, 697, 101
2855, 664, 879, 881, 663
2856, 866, 876, 881, 878
2857, 878, 876, 881, 880
2858, 715, 709, 870, 868
2859, 873, 705, 722, 720
2860, 329, 728, 869, 723
2861, 707, 714, 867, 711
2862, 874, 728, 723, 869
2863, 728, 874, 723, 718
2864, 330, 714, 707, 711
2865, 872, 713, 870, 715
2866, 543, 258, 870, 697
2867, 873, 704, 705, 720
2868, 872, 666, 867, 880
2869, 873, 718, 720, 722
2870, 695, 694, 870, 697
2871, 704, 873, 700, 876
2872, 258, 695, 870, 697
2873, 867, 715, 868, 711
2874, 727, 328, 875, 292
2875, 872, 713, 715, 710
2876, 608, 92, 871, 245
2877, 881, 315, 701, 663
2878, 872, 715, 870, 868
2879, 290, 879, 612, 881
2880, 866, 876, 699, 881
2881, 867, 872, 880, 868
2882, 876, 703, 699, 881
2883, 606, 702, 701, 881
2884, 664, 665, 879, 663
2885, 704, 876, 719, 720
2886, 696, 869, 871, 870
2887, 92, 91, 93, 871
2888, 594, 279, 114, 708
2889, 608, 875, 292, 877
2890, 868, 878, 871, 880
2891, 335, 716, 712, 723
2892, 594, 702, 116, 612
2893, 702, 606, 115, 116
2894, 329, 328, 696, 728
2895, 609, 608, 292, 877
2896, 594, 702, 115, 116
2897, 875, 328, 696, 292
2898, 880, 879, 663, 881
2899, 875, 609, 292, 877
2900, 665, 879, 663, 880
2901, 91, 879, 880, 871
2902, 703, 881, 315, 701
2903, 875, 608, 871, 877
2904, 703, 699, 881, 701
2905, 872, 868, 870, 871
2906, 872, 543, 710, 256
2907, 868, 872, 880, 871
2908, 866, 877, 721, 878
2909, 868, 715, 712, 711
2910, 874, 873, 722, 718
2911, 873, 705, 717, 722
2912, 722, 335, 712, 723
2913, 717, 336, 712, 722
2914, 665, 91, 879, 880
2915, 726, 609, 877, 610
2916, 609, 726, 291, 610
2917, 718, 876, 720, 719
2918, 704, 706, 719, 866
2919, 728, 329, 869, 696
2920, 608, 877, 610, 612
2921, 873, 876, 868, 867
2922, 705, 331, 700, 711
2923, 714, 715, 867, 711
2924, 874, 728, 878, 718
2925, 330, 707, 700, 711
2926, 873, 705, 700, 711
2927, 543, 713, 710, 251
2928, 251, 256, 100, 710
2929, 714, 317, 662, 710
2930, 594, 724, 708, 866
2931, 666, 703, 707, 867
2932, 874, 868, 871, 870
2933, 874, 878, 871, 868
2934, 869, 874, 871, 870
2935, 714, 872, 662, 867
2936, 714, 317, 138, 662
2937, 707, 138, 314, 662
2938, 868, 712, 709, 874
2939, 868, 709, 712, 715
2940, 711, 705, 717, 873
2941, 711, 717, 705, 331
2942, 725, 877, 610, 726
2943, 610, 877, 725, 866
2944, 725, 610, 281, 726
2945, 281, 610, 725, 866
2946, 725, 281, 724, 726
2947, 724, 281, 725, 866
2948, 869, 712, 723, 874
2949, 869, 723, 712, 716
2950, 696, 871, 292, 695
2951, 696, 292, 871, 875
2952, 663, 701, 289, 122
2953, 663, 289, 701, 881
2954, 606, 289, 701, 122
2955, 606, 701, 289, 881
2956, 867, 662, 666, 872
2957, 867, 666, 662, 707
2958, 289, 664, 290, 879
2959, 289, 290, 664, 124
2960, 664, 611, 290, 879
2961, 89, 124, 611, 123
2962, 89, 611, 124, 664
2963, 290, 611, 124, 123
2964, 290, 124, 611, 664
2965, 748, 745, 344, 749
2966, 745, 748, 740, 749
2967, 661, 312, 732, 741
2968, 98, 345, 751, 99
2969, 337, 744, 202, 731
2970, 316, 661, 96, 741
2971, 751, 659, 255, 99
2972, 345, 747, 751, 99
2973, 734, 311, 660, 730
2974, 661, 737, 96, 741
2975, 743, 343, 143, 749
2976, 734, 659, 660, 311
2977, 659, 742, 732, 729
2978, 739, 745, 341, 746
2979, 312, 734, 311, 659
2980, 142, 733, 746, 338
2981, 201, 469, 41, 730
2982, 471, 469, 729, 470
2983, 742, 729, 738, 732
2984, 744, 731, 735, 729
2985, 257, 737, 255, 751
2986, 751, 98, 99, 255
2987, 45, 744, 748, 471
2988, 46, 209, 748, 470
2989, 248, 737, 96, 255
2990, 312, 135, 732, 741
2991, 209, 471, 748, 470
2992, 731, 744, 202, 469
2993, 345, 46, 748, 470
2994, 345, 747, 46, 470
2995, 731, 201, 469, 42
2996, 257, 98, 751, 255
2997, 97, 257, 737, 248
2998, 742, 737, 751, 255
2999, 745, 740, 743, 749
3000, 732, 340, 339, 738
3001, 659, 742, 751, 255
3002, 469, 207, 41, 730
3003, 661, 742, 255, 737
3004, 742, 659, 751, 748
3005, 742, 750, 751, 737
3006, 337, 744, 731, 735
3007, 744, 45, 748, 344
3008, 748, 659, 470, 729
3009, 311, 136, 660, 730
3010, 733, 732, 339, 738
3011, 742, 661, 255, 659
3012, 97, 736, 750, 343
3013, 747, 659, 751, 99
3014, 338, 733, 746, 735
3015, 745, 744, 748, 344
3016, 731, 337, 42, 202
3017, 471, 744, 748, 729
3018, 471, 748, 470, 729
3019, 744, 338, 746, 735
3020, 312, 734, 659, 732
3021, 257, 737, 248, 255
3022, 736, 97, 750, 737
3023, 733, 744, 746, 735
3024, 750, 736, 737, 742
3025, 729, 469, 730, 470
3026, 745, 743, 342, 749
3027, 742, 659, 748, 729
3028, 750, 742, 751, 748
3029, 661, 312, 659, 732
3030, 742, 340, 732, 738
3031, 661, 742, 737, 741
3032, 744, 745, 748, 740
3033, 750, 97, 257, 737
3034, 731, 469, 730, 729
3035, 45, 471, 748, 209
3036, 747, 137, 659, 99
3037, 469, 470, 207, 730
3038, 344, 745, 342, 749
3039, 729, 733, 738, 732
3040, 44, 470, 660, 207
3041, 661, 737, 255, 96
3042, 318, 44, 660, 207
3043, 740, 745, 743, 342
3044, 747, 137, 660, 659
3045, 661, 742, 732, 659
3046, 142, 739, 341, 746
3047, 744, 337, 338, 735
3048, 733, 744, 735, 729
3049, 207, 470, 660, 730
3050, 201, 731, 469, 730
3051, 341, 745, 740, 342
3052, 44, 137, 318, 660
3053, 734, 659, 732, 729
3054, 742, 729, 740, 738
3055, 45, 744, 471, 202
3056, 744, 471, 202, 469
3057, 744, 733, 746, 745
3058, 745, 739, 738, 746
3059, 739, 745, 738, 740
3060, 745, 739, 341, 740
3061, 736, 750, 343, 749
3062, 733, 745, 738, 746
3063, 742, 661, 732, 741
3064, 661, 135, 741, 316
3065, 135, 340, 732, 741
3066, 312, 661, 135, 741
3067, 340, 742, 732, 741
3068, 736, 343, 743, 749
3069, 740, 736, 743, 749
3070, 747, 46, 470, 44
3071, 731, 42, 469, 202
3072, 659, 747, 470, 660
3073, 750, 257, 751, 737
3074, 207, 136, 41, 730
3075, 470, 659, 751, 747
3076, 751, 659, 470, 748
3077, 751, 345, 470, 747
3078, 470, 345, 751, 748
3079, 749, 342, 143, 743
3080, 749, 143, 342, 344
3081, 660, 207, 136, 318
3082, 660, 136, 207, 730
3083, 729, 740, 748, 742
3084, 729, 748, 740, 744
3085, 660, 734, 470, 659
3086, 660, 470, 734, 730
3087, 729, 470, 734, 659
3088, 729, 734, 470, 730
3089, 44, 660, 747, 137
3090, 747, 660, 44, 470
3091, 142, 746, 339, 739
3092, 142, 339, 746, 733
3093, 738, 339, 746, 739
3094, 738, 746, 339, 733
3095, 738, 729, 744, 733
3096, 744, 729, 738, 740
3097, 744, 745, 738, 733
3098, 738, 745, 744, 740
3099, 744, 469, 729, 471
3100, 729, 469, 744, 731
3101, 749, 748, 742, 750
3102, 742, 748, 749, 740
3103, 742, 736, 749, 750
3104, 749, 736, 742, 740
3105, 754, 658, 752, 753
3106, 207, 44, 658, 318
3107, 318, 754, 136, 310
3108, 120, 658, 310, 753
3109, 463, 752, 464, 206
3110, 754, 752, 658, 463
3111, 754, 318, 658, 310
3112, 557, 752, 605, 104
3113, 120, 285, 605, 753
3114, 207, 463, 754, 658
3115, 557, 614, 206, 107
3116, 752, 463, 39, 206
3117, 126, 121, 605, 658
3118, 614, 126, 605, 658
3119, 103, 614, 102, 126
3120, 754, 207, 318, 136
3121, 41, 207, 754, 136
3122, 464, 605, 752, 658
3123, 464, 605, 658, 614
3124, 464, 605, 614, 557
3125, 752, 557, 464, 206
3126, 40, 614, 206, 464
3127, 614, 557, 206, 464
3128, 614, 40, 206, 107
3129, 605, 120, 753, 658
3130, 614, 40, 43, 464
3131, 127, 126, 464, 658
3132, 206, 557, 107, 267
3133, 557, 614, 103, 605
3134, 126, 127, 464, 43
3135, 103, 121, 605, 126
3136, 614, 103, 605, 126
3137, 126, 614, 43, 464
3138, 658, 754, 310, 753
3139, 103, 557, 605, 104
3140, 126, 614, 464, 658
3141, 463, 752, 658, 464
3142, 127, 44, 464, 43
3143, 463, 44, 658, 207
3144, 463, 41, 754, 39
3145, 44, 137, 658, 318
3146, 463, 41, 207, 754
3147, 207, 754, 318, 658
3148, 285, 752, 605, 753
3149, 557, 614, 102, 103
3150, 752, 285, 605, 104
3151, 120, 121, 658, 605
3152, 464, 605, 557, 752
3153, 614, 557, 102, 107
3154, 752, 106, 206, 39
3155, 752, 39, 463, 754
3156, 127, 44, 658, 464
3157, 44, 127, 658, 137
3158, 127, 121, 126, 658
3159, 463, 44, 464, 658
3160, 752, 605, 753, 658
3161, 557, 752, 267, 206
3162, 557, 267, 752, 104
3163, 106, 267, 752, 206
3164, 106, 752, 267, 104
3165, 539, 747, 345, 99
3166, 755, 130, 119, 756
3167, 472, 490, 47, 615
3168, 747, 539, 345, 756
3169, 490, 525, 68, 616
3170, 472, 490, 615, 616
3171, 472, 747, 44, 46
3172, 254, 237, 616, 293
3173, 472, 615, 47, 43
3174, 756, 539, 345, 94
3175, 525, 755, 524, 756
3176, 539, 98, 345, 94
3177, 747, 254, 539, 616
3178, 283, 119, 252, 756
3179, 71, 755, 69, 490
3180, 755, 283, 756, 119
3181, 240, 525, 69, 755
3182, 755, 525, 69, 490
3183, 747, 472, 616, 756
3184, 472, 51, 756, 46
3185, 525, 747, 616, 756
3186, 490, 67, 616, 68
3187, 539, 756, 252, 94
3188, 525, 240, 524, 755
3189, 525, 747, 539, 616
3190, 87, 237, 88, 293
3191, 237, 254, 88, 293
3192, 616, 127, 126, 43
3193, 67, 615, 616, 126
3194, 240, 283, 524, 755
3195, 472, 44, 616, 43
3196, 127, 747, 44, 616
3197, 747, 472, 756, 46
3198, 51, 71, 47, 472
3199, 525, 237, 68, 616
3200, 71, 472, 756, 490
3201, 67, 490, 616, 615
3202, 756, 119, 252, 94
3203, 71, 472, 490, 47
3204, 67, 74, 490, 615
3205, 747, 472, 44, 616
3206, 74, 71, 490, 47
3207, 283, 240, 524, 85
3208, 755, 71, 756, 490
3209, 254, 747, 539, 99
3210, 755, 71, 130, 756
3211, 747, 525, 539, 756
3212, 71, 51, 130, 756
3213, 254, 237, 88, 242
3214, 44, 127, 616, 43
3215, 755, 283, 524, 756
3216, 525, 490, 68, 69
3217, 98, 539, 345, 99
3218, 525, 755, 756, 490
3219, 86, 283, 524, 85
3220, 539, 525, 242, 524
3221, 242, 86, 252, 524
3222, 539, 525, 524, 756
3223, 51, 71, 472, 756
3224, 283, 756, 252, 524
3225, 756, 539, 252, 524
3226, 539, 242, 252, 524
3227, 254, 747, 99, 137
3228, 86, 283, 252, 524
3229, 615, 472, 616, 43
3230, 490, 74, 47, 615
3231, 747, 254, 127, 137
3232, 46, 747, 345, 756
3233, 747, 127, 44, 137
3234, 615, 616, 126, 43
3235, 254, 127, 616, 747
3236, 616, 127, 254, 293
3237, 756, 616, 490, 472
3238, 756, 490, 616, 525
3239, 242, 539, 616, 525
3240, 616, 539, 242, 254
3241, 616, 237, 242, 525
3242, 242, 237, 616, 254
3243, 757, 176, 4, 159
3244, 110, 52, 757, 554
3245, 410, 757, 278, 159
3246, 410, 24, 177, 589
3247, 410, 176, 5, 477
3248, 589, 110, 278, 757
3249, 589, 410, 757, 278
3250, 52, 213, 757, 554
3251, 410, 176, 477, 757
3252, 589, 110, 757, 554
3253, 589, 410, 5, 477
3254, 589, 64, 53, 5
3255, 20, 410, 278, 159
3256, 589, 5, 53, 477
3257, 477, 176, 4, 757
3258, 64, 589, 53, 554
3259, 177, 410, 278, 20
3260, 589, 64, 265, 554
3261, 589, 477, 53, 554
3262, 213, 477, 757, 554
3263, 589, 265, 110, 554
3264, 24, 410, 5, 589
3265, 64, 24, 5, 589
3266, 477, 213, 53, 554
3267, 410, 589, 757, 477
3268, 477, 589, 757, 554
3269, 213, 52, 757, 477
3270, 176, 410, 159, 757
3271, 410, 589, 177, 278
3272, 52, 477, 4, 757
3273, 882, 648, 304, 759
3274, 309, 882, 284, 131
3275, 94, 599, 253, 751
3276, 597, 599, 236, 515
3277, 344, 763, 749, 143
3278, 748, 882, 759, 473
3279, 599, 253, 751, 750
3280, 749, 346, 343, 143
3281, 761, 882, 759, 760
3282, 95, 97, 253, 750
3283, 94, 599, 751, 756
3284, 762, 763, 346, 758
3285, 77, 758, 762, 346
3286, 761, 231, 514, 515
3287, 597, 95, 758, 76
3288, 599, 882, 598, 235
3289, 882, 648, 309, 647
3290, 761, 231, 232, 514
3291, 598, 130, 119, 118
3292, 599, 761, 514, 515
3293, 597, 515, 236, 76
3294, 761, 763, 597, 750
3295, 515, 763, 761, 762
3296, 763, 597, 750, 758
3297, 599, 761, 750, 751
3298, 515, 763, 762, 758
3299, 598, 78, 235, 513
3300, 598, 130, 648, 756
3301, 94, 599, 756, 598
3302, 749, 346, 143, 763
3303, 515, 227, 76, 758
3304, 514, 599, 236, 235
3305, 343, 758, 749, 750
3306, 50, 648, 759, 304
3307, 598, 130, 118, 648
3308, 761, 599, 597, 515
3309, 882, 748, 756, 473
3310, 882, 598, 235, 513
3311, 94, 345, 751, 98
3312, 882, 761, 232, 514
3313, 597, 515, 76, 758
3314, 253, 94, 751, 98
3315, 748, 760, 473, 759
3316, 257, 253, 751, 98
3317, 760, 205, 473, 759
3318, 882, 514, 232, 513
3319, 882, 599, 514, 235
3320, 83, 882, 232, 513
3321, 748, 209, 473, 760
3322, 756, 748, 46, 473
3323, 882, 647, 83, 304
3324, 748, 882, 760, 759
3325, 51, 756, 46, 473
3326, 882, 748, 760, 761
3327, 345, 748, 46, 756
3328, 748, 209, 760, 45
3329, 309, 78, 284, 513
3330, 130, 648, 756, 51
3331, 284, 882, 118, 131
3332, 515, 763, 758, 597
3333, 95, 750, 597, 758
3334, 82, 309, 513, 78
3335, 759, 205, 473, 50
3336, 209, 205, 760, 45
3337, 648, 882, 473, 759
3338, 648, 882, 304, 647
3339, 749, 346, 763, 758
3340, 761, 882, 232, 759
3341, 210, 759, 473, 50
3342, 97, 343, 750, 758
3343, 748, 345, 751, 756
3344, 762, 227, 515, 758
3345, 763, 344, 749, 760
3346, 599, 882, 514, 761
3347, 761, 748, 750, 751
3348, 599, 882, 756, 598
3349, 97, 257, 253, 750
3350, 598, 882, 118, 284
3351, 599, 761, 597, 750
3352, 648, 882, 598, 756
3353, 762, 231, 515, 77
3354, 227, 762, 515, 77
3355, 762, 231, 761, 515
3356, 648, 882, 309, 131
3357, 515, 599, 236, 514
3358, 648, 131, 130, 118
3359, 257, 253, 750, 751
3360, 345, 94, 751, 756
3361, 647, 309, 513, 82
3362, 748, 209, 46, 473
3363, 756, 648, 473, 51
3364, 95, 597, 750, 253
3365, 515, 763, 597, 761
3366, 514, 882, 235, 513
3367, 647, 882, 513, 309
3368, 882, 309, 284, 513
3369, 648, 210, 473, 51
3370, 97, 95, 758, 750
3371, 882, 648, 473, 756
3372, 882, 83, 232, 304
3373, 882, 304, 232, 759
3374, 94, 598, 756, 119
3375, 598, 130, 756, 119
3376, 209, 205, 473, 760
3377, 344, 748, 760, 45
3378, 758, 763, 749, 750
3379, 344, 748, 749, 760
3380, 882, 648, 118, 131
3381, 83, 647, 513, 82
3382, 648, 882, 118, 598
3383, 882, 647, 513, 83
3384, 749, 346, 758, 343
3385, 77, 758, 227, 762
3386, 210, 648, 473, 759
3387, 50, 648, 210, 759
3388, 599, 597, 253, 750
3389, 513, 284, 598, 78
3390, 513, 598, 284, 882
3391, 756, 751, 882, 599
3392, 756, 882, 751, 748
3393, 761, 882, 751, 599
3394, 761, 751, 882, 748
3395, 761, 760, 750, 748
3396, 761, 750, 760, 763
3397, 749, 750, 760, 748
3398, 749, 760, 750, 763
3399, 299, 300, 774, 639
3400, 560, 267, 766, 206
3401, 144, 772, 350, 770
3402, 770, 772, 767, 348
3403, 467, 765, 465, 466
3404, 558, 111, 771, 264
3405, 641, 559, 268, 639
3406, 640, 299, 773, 774
3407, 772, 774, 767, 348
3408, 467, 641, 107, 40
3409, 300, 772, 642, 129
3410, 640, 467, 641, 764
3411, 559, 768, 766, 561
3412, 559, 768, 561, 558
3413, 769, 774, 639, 764
3414, 559, 467, 766, 641
3415, 769, 642, 558, 639
3416, 766, 39, 466, 206
3417, 144, 770, 767, 348
3418, 769, 772, 774, 767
3419, 49, 640, 773, 468
3420, 49, 208, 640, 468
3421, 144, 772, 770, 348
3422, 772, 769, 770, 767
3423, 347, 769, 767, 770
3424, 768, 559, 764, 639
3425, 774, 769, 767, 764
3426, 640, 773, 764, 774
3427, 560, 766, 106, 260
3428, 144, 347, 767, 770
3429, 641, 467, 766, 764
3430, 467, 765, 468, 465
3431, 765, 39, 466, 766
3432, 774, 640, 639, 764
3433, 769, 772, 639, 774
3434, 559, 768, 558, 639
3435, 640, 467, 764, 468
3436, 640, 641, 639, 764
3437, 467, 559, 560, 107
3438, 559, 268, 639, 558
3439, 208, 467, 48, 641
3440, 765, 467, 764, 766
3441, 467, 765, 764, 468
3442, 772, 769, 639, 642
3443, 773, 640, 764, 468
3444, 765, 773, 764, 468
3445, 768, 769, 767, 347
3446, 560, 467, 107, 206
3447, 267, 766, 206, 106
3448, 467, 766, 466, 206
3449, 467, 559, 766, 560
3450, 467, 559, 107, 641
3451, 199, 765, 465, 38
3452, 267, 560, 107, 206
3453, 772, 769, 350, 770
3454, 299, 49, 640, 773
3455, 559, 768, 764, 766
3456, 641, 559, 764, 766
3457, 766, 39, 206, 106
3458, 769, 768, 767, 764
3459, 768, 105, 558, 264
3460, 768, 769, 639, 764
3461, 349, 773, 774, 764
3462, 267, 560, 766, 106
3463, 769, 558, 771, 264
3464, 773, 49, 468, 203
3465, 640, 299, 774, 639
3466, 773, 349, 203, 465
3467, 641, 467, 48, 40
3468, 105, 768, 347, 264
3469, 769, 642, 771, 558
3470, 768, 769, 558, 639
3471, 300, 772, 774, 639
3472, 349, 765, 773, 764
3473, 774, 349, 764, 348
3474, 559, 641, 764, 639
3475, 642, 268, 771, 558
3476, 772, 300, 642, 639
3477, 769, 768, 558, 264
3478, 768, 769, 347, 264
3479, 768, 259, 260, 561
3480, 111, 268, 771, 642
3481, 467, 560, 766, 206
3482, 208, 640, 467, 641
3483, 768, 259, 561, 558
3484, 642, 769, 771, 298
3485, 268, 111, 771, 558
3486, 641, 559, 107, 112
3487, 767, 774, 764, 348
3488, 766, 560, 561, 260
3489, 765, 349, 773, 465
3490, 560, 559, 766, 561
3491, 765, 39, 199, 466
3492, 769, 772, 350, 129
3493, 268, 642, 639, 558
3494, 772, 769, 642, 129
3495, 111, 642, 771, 298
3496, 766, 768, 260, 561
3497, 467, 765, 466, 766
3498, 641, 559, 112, 268
3499, 768, 105, 259, 558
3500, 467, 40, 107, 206
3501, 641, 40, 48, 107
3502, 773, 468, 465, 203
3503, 112, 641, 48, 107
3504, 765, 199, 465, 466
3505, 769, 642, 129, 298
3506, 640, 208, 467, 468
3507, 773, 765, 465, 468
3508, 465, 349, 38, 765
3509, 465, 38, 349, 203
3510, 36, 196, 16, 404
3511, 781, 170, 3, 216
3512, 650, 132, 134, 783
3513, 776, 400, 778, 777
3514, 786, 356, 784, 783
3515, 400, 776, 156, 777
3516, 13, 782, 401, 402
3517, 650, 786, 403, 783
3518, 787, 354, 305, 779
3519, 775, 784, 146, 36
3520, 56, 781, 3, 216
3521, 785, 352, 777, 351
3522, 785, 786, 351, 777
3523, 776, 787, 352, 777
3524, 651, 785, 405, 403
3525, 786, 650, 134, 783
3526, 783, 650, 402, 403
3527, 782, 37, 402, 17
3528, 786, 775, 351, 777
3529, 196, 171, 16, 404
3530, 775, 155, 777, 403
3531, 155, 400, 777, 403
3532, 783, 404, 403, 402
3533, 155, 775, 404, 403
3534, 400, 157, 778, 780
3535, 787, 776, 352, 145
3536, 132, 355, 650, 782
3537, 649, 781, 779, 294
3538, 651, 785, 306, 305
3539, 649, 56, 216, 781
3540, 405, 785, 777, 403
3541, 787, 785, 352, 777
3542, 649, 56, 781, 294
3543, 158, 157, 405, 780
3544, 354, 305, 779, 133
3545, 57, 72, 401, 7
3546, 72, 132, 650, 782
3547, 650, 403, 401, 402
3548, 170, 57, 401, 7
3549, 156, 400, 777, 155
3550, 651, 406, 781, 216
3551, 651, 650, 403, 401
3552, 651, 650, 306, 403
3553, 649, 651, 781, 216
3554, 775, 196, 36, 404
3555, 406, 651, 405, 401
3556, 775, 784, 404, 403
3557, 782, 650, 401, 402
3558, 786, 785, 306, 403
3559, 779, 649, 294, 133
3560, 305, 649, 779, 133
3561, 57, 651, 216, 401
3562, 786, 650, 306, 134
3563, 171, 37, 17, 402
3564, 196, 171, 404, 402
3565, 776, 787, 778, 145
3566, 784, 196, 404, 783
3567, 170, 406, 401, 216
3568, 171, 196, 37, 402
3569, 400, 776, 778, 157
3570, 786, 785, 403, 777
3571, 650, 786, 306, 403
3572, 400, 405, 777, 403
3573, 155, 775, 16, 404
3574, 406, 651, 781, 405
3575, 170, 57, 216, 401
3576, 406, 170, 3, 781
3577, 72, 57, 401, 650
3578, 649, 651, 779, 781
3579, 782, 17, 402, 13
3580, 651, 649, 779, 305
3581, 786, 356, 783, 134
3582, 405, 651, 403, 401
3583, 158, 406, 3, 781
3584, 775, 196, 404, 784
3585, 783, 196, 404, 402
3586, 406, 651, 401, 216
3587, 355, 132, 650, 783
3588, 775, 786, 403, 777
3589, 787, 785, 779, 305
3590, 775, 36, 16, 404
3591, 196, 775, 36, 784
3592, 354, 787, 778, 779
3593, 400, 776, 157, 2
3594, 72, 13, 401, 7
3595, 157, 400, 405, 780
3596, 157, 776, 353, 2
3597, 400, 776, 2, 156
3598, 787, 354, 778, 145
3599, 353, 776, 778, 145
3600, 785, 651, 779, 305
3601, 355, 37, 783, 402
3602, 785, 651, 306, 403
3603, 170, 406, 216, 781
3604, 72, 782, 401, 13
3605, 37, 355, 782, 402
3606, 785, 651, 405, 779
3607, 784, 783, 404, 403
3608, 776, 157, 353, 778
3609, 37, 196, 783, 402
3610, 72, 650, 401, 782
3611, 57, 651, 401, 650
3612, 786, 784, 351, 775
3613, 786, 351, 784, 356
3614, 146, 351, 784, 775
3615, 146, 784, 351, 356
3616, 781, 405, 158, 406
3617, 781, 158, 405, 780
3618, 777, 400, 780, 405
3619, 780, 400, 777, 778
3620, 777, 787, 778, 776
3621, 403, 784, 786, 775
3622, 403, 786, 784, 783
3623, 402, 355, 650, 783
3624, 402, 650, 355, 782
3625, 779, 405, 781, 651
3626, 779, 781, 405, 780
3627, 777, 778, 779, 780
3628, 777, 405, 779, 785
3629, 779, 405, 777, 780
3630, 779, 777, 787, 778
3631, 787, 777, 779, 785
3632, 37, 355, 446, 789
3633, 784, 791, 783, 356
3634, 357, 226, 788, 510
3635, 446, 784, 511, 783
3636, 78, 600, 511, 284
3637, 510, 784, 511, 445
3638, 791, 646, 307, 509
3639, 645, 82, 81, 509
3640, 510, 784, 790, 791
3641, 446, 195, 511, 445
3642, 784, 791, 356, 790
3643, 132, 308, 646, 789
3644, 646, 644, 307, 509
3645, 195, 34, 446, 511
3646, 446, 34, 600, 511
3647, 791, 234, 511, 509
3648, 789, 646, 783, 511
3649, 646, 791, 307, 134
3650, 195, 510, 445, 33
3651, 33, 510, 445, 788
3652, 446, 355, 783, 789
3653, 789, 446, 600, 511
3654, 355, 132, 646, 789
3655, 132, 355, 646, 783
3656, 644, 307, 509, 645
3657, 645, 307, 509, 81
3658, 357, 80, 510, 790
3659, 355, 37, 446, 783
3660, 234, 791, 510, 790
3661, 644, 308, 282, 789
3662, 509, 78, 511, 284
3663, 644, 308, 789, 646
3664, 446, 37, 789, 25
3665, 34, 600, 511, 78
3666, 646, 644, 511, 789
3667, 789, 446, 25, 600
3668, 446, 784, 196, 445
3669, 195, 510, 511, 445
3670, 186, 33, 445, 788
3671, 36, 784, 788, 445
3672, 81, 307, 509, 234
3673, 146, 784, 788, 36
3674, 644, 789, 600, 511
3675, 446, 37, 196, 783
3676, 784, 36, 196, 445
3677, 357, 510, 788, 790
3678, 80, 357, 510, 226
3679, 510, 80, 234, 790
3680, 307, 791, 509, 234
3681, 234, 510, 791, 511
3682, 82, 309, 509, 645
3683, 226, 510, 33, 788
3684, 791, 646, 509, 511
3685, 784, 446, 511, 445
3686, 791, 134, 783, 356
3687, 446, 789, 783, 511
3688, 309, 82, 509, 78
3689, 186, 36, 788, 445
3690, 646, 791, 783, 511
3691, 784, 791, 511, 783
3692, 644, 789, 282, 600
3693, 309, 644, 509, 645
3694, 784, 510, 788, 445
3695, 784, 446, 196, 783
3696, 132, 646, 134, 783
3697, 644, 131, 309, 284
3698, 510, 784, 788, 790
3699, 644, 646, 511, 509
3700, 600, 644, 511, 284
3701, 646, 791, 134, 783
3702, 355, 646, 783, 789
3703, 446, 34, 25, 600
3704, 282, 644, 600, 284
3705, 282, 789, 25, 600
3706, 784, 510, 511, 791
3707, 644, 509, 511, 284
3708, 284, 509, 309, 644
3709, 284, 309, 509, 78
3710, 282, 284, 308, 644
3711, 282, 308, 284, 118
3712, 131, 308, 284, 644
3713, 131, 284, 308, 118
3714, 790, 784, 357, 356
3715, 790, 357, 784, 788
3716, 146, 357, 784, 356
3717, 146, 784, 357, 788
3718, 792, 234, 79, 80
3719, 146, 356, 351, 793
3720, 798, 796, 362, 638
3721, 883, 799, 800, 302
3722, 360, 793, 800, 359
3723, 796, 305, 787, 354
3724, 786, 637, 306, 883
3725, 790, 234, 792, 80
3726, 307, 637, 797, 303
3727, 145, 787, 794, 352
3728, 786, 356, 791, 793
3729, 796, 295, 362, 638
3730, 793, 790, 792, 357
3731, 798, 796, 147, 362
3732, 301, 798, 128, 638
3733, 800, 637, 797, 791
3734, 356, 786, 351, 793
3735, 796, 133, 638, 305
3736, 787, 795, 794, 352
3737, 637, 307, 797, 791
3738, 785, 795, 787, 352
3739, 793, 800, 797, 791
3740, 303, 637, 800, 302
3741, 792, 233, 797, 79
3742, 637, 883, 800, 302
3743, 790, 234, 797, 792
3744, 799, 883, 798, 636
3745, 786, 883, 306, 785
3746, 786, 793, 883, 795
3747, 790, 792, 357, 80
3748, 301, 799, 798, 636
3749, 796, 305, 638, 883
3750, 798, 301, 636, 638
3751, 883, 785, 795, 787
3752, 133, 796, 638, 295
3753, 786, 637, 134, 306
3754, 796, 798, 147, 794
3755, 786, 637, 883, 791
3756, 796, 883, 794, 787
3757, 796, 133, 305, 354
3758, 883, 637, 306, 636
3759, 883, 637, 800, 791
3760, 798, 883, 638, 636
3761, 883, 305, 638, 636
3762, 301, 799, 636, 302
3763, 361, 799, 795, 883
3764, 81, 234, 233, 797
3765, 303, 81, 84, 797
3766, 786, 356, 134, 791
3767, 799, 361, 795, 360
3768, 234, 233, 797, 792
3769, 358, 796, 147, 794
3770, 81, 233, 84, 797
3771, 307, 234, 797, 791
3772, 307, 81, 303, 797
3773, 357, 356, 146, 793
3774, 796, 354, 787, 794
3775, 356, 793, 790, 791
3776, 883, 796, 794, 798
3777, 793, 883, 800, 791
3778, 883, 361, 794, 795
3779, 785, 351, 795, 352
3780, 883, 799, 798, 794
3781, 799, 361, 798, 794
3782, 307, 637, 134, 791
3783, 793, 786, 883, 791
3784, 128, 798, 362, 638
3785, 295, 128, 362, 638
3786, 305, 796, 787, 883
3787, 234, 790, 797, 791
3788, 793, 790, 797, 792
3789, 303, 637, 797, 800
3790, 637, 786, 134, 791
3791, 357, 356, 793, 790
3792, 361, 799, 883, 794
3793, 883, 637, 636, 302
3794, 883, 795, 794, 787
3795, 799, 883, 636, 302
3796, 786, 351, 793, 795
3797, 883, 799, 795, 360
3798, 234, 81, 307, 797
3799, 790, 793, 797, 791
3800, 793, 883, 795, 360
3801, 800, 793, 797, 359
3802, 883, 793, 800, 360
3803, 799, 883, 800, 360
3804, 305, 883, 787, 785
3805, 233, 234, 79, 792
3806, 793, 792, 797, 359
3807, 305, 883, 306, 636
3808, 883, 305, 306, 785
3809, 798, 361, 147, 794
3810, 796, 883, 638, 798
3811, 796, 358, 354, 794
3812, 792, 797, 359, 79
3813, 786, 795, 785, 351
3814, 785, 795, 786, 883
3815, 794, 354, 145, 358
3816, 794, 145, 354, 787
3817, 643, 130, 755, 71
3818, 69, 755, 518, 240
3819, 782, 643, 132, 789
3820, 596, 119, 755, 308
3821, 643, 782, 132, 72
3822, 119, 596, 755, 283
3823, 596, 755, 518, 789
3824, 596, 85, 518, 240
3825, 782, 37, 789, 355
3826, 282, 596, 789, 308
3827, 283, 596, 755, 240
3828, 85, 596, 518, 26
3829, 119, 118, 130, 308
3830, 596, 25, 518, 26
3831, 755, 643, 518, 789
3832, 130, 643, 755, 308
3833, 69, 643, 755, 71
3834, 596, 283, 85, 240
3835, 118, 596, 282, 308
3836, 25, 18, 518, 26
3837, 119, 130, 755, 308
3838, 69, 14, 518, 13
3839, 782, 643, 13, 72
3840, 355, 782, 132, 789
3841, 596, 282, 789, 25
3842, 643, 308, 132, 789
3843, 37, 25, 518, 789
3844, 69, 643, 71, 72
3845, 37, 18, 518, 25
3846, 118, 596, 308, 119
3847, 69, 643, 13, 518
3848, 130, 118, 131, 308
3849, 643, 782, 13, 518
3850, 643, 69, 13, 72
3851, 643, 782, 518, 789
3852, 37, 782, 789, 518
3853, 643, 69, 755, 518
3854, 17, 18, 13, 782
3855, 755, 596, 518, 240
3856, 25, 596, 518, 789
3857, 13, 518, 18, 14
3858, 13, 18, 518, 782
3859, 18, 37, 782, 17
3860, 18, 782, 37, 518
3861, 789, 755, 308, 596
3862, 789, 308, 755, 643
*Elset, elset=poly1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64,
65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125,
126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,
140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,
182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209,
210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237,
238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251,
252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265,
266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279,
280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293,
294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307,
308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321,
322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335,
336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349,
350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363,
364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377,
378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391,
392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405,
406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,
420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433,
434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447,
448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461
*Elset, elset=poly2
462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475,
476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489,
490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503,
504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517,
518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531,
532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545,
546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559,
560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573,
574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587,
588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601,
602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615,
616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629,
630, 631, 632, 633, 634, 635, 636
*Elset, elset=poly3
637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650,
651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664,
665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678,
679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692,
693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706,
707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720,
721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734,
735, 736, 737, 738
*Elset, elset=poly4
739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752,
753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766,
767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780,
781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794,
795, 796
*Elset, elset=poly5
797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810,
811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824,
825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838,
839, 840, 841, 842, 843, 844, 845, 846, 847
*Elset, elset=poly6
848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861,
862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875,
876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889,
890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903,
904
*Elset, elset=poly7
905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918,
919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932,
933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946,
947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960,
961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974,
975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988,
989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002,
1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014,
1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026,
1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038,
1039, 1040, 1041, 1042
*Elset, elset=poly8
1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054,
1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066,
1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078,
1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090,
1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102,
1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114,
1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126,
1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138,
1139, 1140, 1141, 1142
*Elset, elset=poly9
1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154,
1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166,
1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178,
1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190,
1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202,
1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214,
1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226,
1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238,
1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250,
1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262
*Elset, elset=poly10
1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274,
1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286,
1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298,
1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310,
1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322,
1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334,
1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346,
1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358,
1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370,
1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382,
1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394,
1395
*Elset, elset=poly11
1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407,
1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419,
1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431,
1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443,
1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455,
1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467,
1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479,
1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491,
1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503,
1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515,
1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527,
1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539,
1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551,
1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563,
1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575,
1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587,
1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599,
1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611,
1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623
*Elset, elset=poly12
1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635,
1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647,
1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659,
1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671,
1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683,
1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695,
1696, 1697, 1698
*Elset, elset=poly13
1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710,
1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722,
1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734,
1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746,
1747, 1748, 1749, 1750, 1751
*Elset, elset=poly14
1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763,
1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775,
1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787,
1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799,
1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811,
1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823,
1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835,
1836, 1837, 1838, 1839, 1840
*Elset, elset=poly15
1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852,
1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864,
1865, 1866
*Elset, elset=poly16
1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878,
1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890,
1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902,
1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914,
1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926,
1927, 1928, 1929, 1930, 1931, 1932, 1933
*Elset, elset=poly17
1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945,
1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957,
1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969,
1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981,
1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993,
1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017,
2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029,
2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041,
2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053,
2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065,
2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077,
2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089,
2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101,
2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113,
2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125,
2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137,
2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149,
2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161,
2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173,
2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185,
2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193
*Elset, elset=poly18
2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205,
2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217,
2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229,
2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241,
2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253,
2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265,
2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277,
2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289,
2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301,
2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313,
2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324
*Elset, elset=poly19
2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336,
2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348,
2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360,
2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372,
2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384,
2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396,
2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408,
2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420,
2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432,
2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444,
2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456,
2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468,
2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480,
2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492,
2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504,
2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516,
2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528,
2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540,
2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552,
2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564,
2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576,
2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588,
2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600,
2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612,
2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624,
2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636,
2637, 2638, 2639, 2640, 2641
*Elset, elset=poly20
2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653,
2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665,
2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677,
2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689,
2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701,
2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713,
2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725,
2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737,
2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749,
2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761,
2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773,
2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785,
2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797,
2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809,
2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821,
2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833,
2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845,
2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857,
2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869,
2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881,
2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893,
2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905,
2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917,
2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929,
2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941,
2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953,
2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964
*Elset, elset=poly21
2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976,
2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988,
2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000,
3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012,
3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024,
3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036,
3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048,
3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060,
3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072,
3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084,
3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096,
3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104
*Elset, elset=poly22
3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116,
3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128,
3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140,
3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152,
3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164
*Elset, elset=poly23
3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176,
3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188,
3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200,
3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212,
3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224,
3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236,
3237, 3238, 3239, 3240, 3241, 3242
*Elset, elset=poly24
3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254,
3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266,
3267, 3268, 3269, 3270, 3271, 3272
*Elset, elset=poly25
3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284,
3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296,
3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308,
3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320,
3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332,
3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344,
3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356,
3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368,
3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380,
3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392,
3393, 3394, 3395, 3396, 3397, 3398
*Elset, elset=poly26
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*End Part
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FILE: Neper2Abaqus/Step-1 Neper/abq_tet.msh
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1634 2 3 93 93 0 574 110 578
1635 2 3 93 93 0 278 110 574
1636 2 3 93 93 0 578 263 270
1637 2 3 93 93 0 263 578 110
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1642 2 3 94 94 0 168 581 582
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1644 2 3 94 94 0 114 279 586
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1653 2 3 94 94 0 584 579 585
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1657 2 3 94 94 0 21 277 588
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1659 2 3 94 94 0 113 275 587
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1673 2 3 95 95 0 589 265 110
1674 2 3 95 95 0 177 24 589
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1676 2 3 95 95 0 589 24 64
1677 2 3 95 95 0 589 64 265
1678 2 3 95 95 0 589 278 177
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1686 2 3 97 97 0 591 592 593
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1712 2 3 99 99 0 595 76 230
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1717 2 3 100 100 0 25 26 596
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1720 2 3 101 101 0 597 76 236
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1727 2 3 101 101 0 598 78 284
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1730 2 3 101 101 0 599 236 235
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1736 2 3 102 102 0 118 284 282
1737 2 3 102 102 0 600 25 282
1738 2 3 102 102 0 600 78 34
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1740 2 3 103 103 0 94 252 119
1741 2 3 103 103 0 252 283 119
1742 2 3 103 103 0 86 283 252
1743 2 3 103 103 0 85 283 86
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1748 2 3 104 104 0 602 601 271
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1750 2 3 104 104 0 602 109 104
1751 2 3 104 104 0 286 115 601
1752 2 3 104 104 0 602 104 285
1753 2 3 104 104 0 601 115 271
1754 2 3 105 105 0 603 604 61
1755 2 3 105 105 0 61 287 603
1756 2 3 105 105 0 604 103 59
1757 2 3 105 105 0 603 288 604
1758 2 3 105 105 0 59 61 604
1759 2 3 105 105 0 603 123 124
1760 2 3 105 105 0 287 123 603
1761 2 3 105 105 0 288 121 604
1762 2 3 105 105 0 603 124 288
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1772 2 3 107 107 0 121 289 120
1773 2 3 108 108 0 61 290 65
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1775 2 3 108 108 0 123 290 287
1776 2 3 108 108 0 290 116 65
1777 2 3 109 109 0 606 116 290
1778 2 3 109 109 0 606 115 116
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1780 2 3 109 109 0 286 115 606
1781 2 3 109 109 0 123 124 290
1782 2 3 109 109 0 124 289 290
1783 2 3 109 109 0 606 122 286
1784 2 3 109 109 0 289 122 606
1785 2 3 110 110 0 280 607 22
1786 2 3 110 110 0 607 169 22
1787 2 3 110 110 0 12 607 125
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1789 2 3 110 110 0 291 280 117
1790 2 3 110 110 0 607 280 291
1791 2 3 110 110 0 607 12 169
1792 2 3 111 111 0 608 609 610
1793 2 3 111 111 0 608 292 609
1794 2 3 111 111 0 608 245 92
1795 2 3 111 111 0 608 611 245
1796 2 3 111 111 0 612 611 608
1797 2 3 111 111 0 117 610 291
1798 2 3 111 111 0 281 610 117
1799 2 3 111 111 0 292 608 92
1800 2 3 111 111 0 612 290 611
1801 2 3 111 111 0 612 608 610
1802 2 3 111 111 0 245 611 89
1803 2 3 111 111 0 612 610 281
1804 2 3 111 111 0 612 116 290
1805 2 3 111 111 0 609 125 291
1806 2 3 111 111 0 291 610 609
1807 2 3 111 111 0 292 125 609
1808 2 3 111 111 0 281 116 612
1809 2 3 111 111 0 611 290 123
1810 2 3 111 111 0 123 89 611
1811 2 3 112 112 0 63 238 61
1812 2 3 112 112 0 238 287 61
1813 2 3 112 112 0 123 287 238
1814 2 3 112 112 0 89 123 238
1815 2 3 113 113 0 125 292 613
1816 2 3 113 113 0 92 11 292
1817 2 3 113 113 0 172 12 613
1818 2 3 113 113 0 11 172 292
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1820 2 3 113 113 0 613 292 172
1821 2 3 114 114 0 43 40 614
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1824 2 3 114 114 0 126 43 614
1825 2 3 114 114 0 102 126 614
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1834 2 3 117 117 0 112 48 107
1835 2 3 118 118 0 47 48 74
1836 2 3 118 118 0 48 112 74
1837 2 3 118 118 0 112 73 74
1838 2 3 119 119 0 237 616 293
1839 2 3 119 119 0 616 127 293
1840 2 3 119 119 0 126 616 67
1841 2 3 119 119 0 616 68 67
1842 2 3 119 119 0 87 237 293
1843 2 3 119 119 0 126 127 616
1844 2 3 119 119 0 237 68 616
1845 2 3 120 120 0 121 103 126
1846 2 3 120 120 0 103 102 126
1847 2 3 120 120 0 127 121 126
1848 2 3 121 121 0 239 617 87
1849 2 3 121 121 0 617 293 87
1850 2 3 121 121 0 121 617 288
1851 2 3 121 121 0 127 617 121
1852 2 3 121 121 0 618 124 288
1853 2 3 121 121 0 288 617 618
1854 2 3 121 121 0 618 617 239
1855 2 3 121 121 0 618 90 124
1856 2 3 121 121 0 239 90 618
1857 2 3 121 121 0 617 127 293
1858 2 3 122 122 0 124 89 123
1859 2 3 122 122 0 90 89 124
1860 2 3 123 123 0 211 619 620
1861 2 3 123 123 0 211 56 619
1862 2 3 123 123 0 621 296 622
1863 2 3 123 123 0 621 128 296
1864 2 3 123 123 0 621 622 619
1865 2 3 123 123 0 297 623 622
1866 2 3 123 123 0 129 298 297
1867 2 3 123 123 0 622 623 619
1868 2 3 123 123 0 622 296 297
1869 2 3 123 123 0 295 128 621
1870 2 3 123 123 0 623 111 620
1871 2 3 123 123 0 111 623 298
1872 2 3 123 123 0 294 619 56
1873 2 3 123 123 0 619 623 620
1874 2 3 123 123 0 297 298 623
1875 2 3 123 123 0 295 621 133
1876 2 3 123 123 0 133 621 294
1877 2 3 123 123 0 620 55 211
1878 2 3 123 123 0 111 55 620
1879 2 3 123 123 0 621 619 294
1880 2 3 124 124 0 626 204 629
1881 2 3 124 124 0 624 625 631
1882 2 3 124 124 0 83 304 627
1883 2 3 124 124 0 628 624 631
1884 2 3 124 124 0 304 50 626
1885 2 3 124 124 0 299 625 629
1886 2 3 124 124 0 299 300 625
1887 2 3 124 124 0 624 626 629
1888 2 3 124 124 0 50 204 626
1889 2 3 124 124 0 204 49 629
1890 2 3 124 124 0 626 624 633
1891 2 3 124 124 0 49 299 629
1892 2 3 124 124 0 624 630 633
1893 2 3 124 124 0 625 624 629
1894 2 3 124 124 0 624 628 634
1895 2 3 124 124 0 303 84 627
1896 2 3 124 124 0 630 624 634
1897 2 3 124 124 0 84 83 627
1898 2 3 124 124 0 302 303 630
1899 2 3 124 124 0 304 626 633
1900 2 3 124 124 0 628 301 634
1901 2 3 124 124 0 129 297 632
1902 2 3 124 124 0 625 300 632
1903 2 3 124 124 0 296 628 631
1904 2 3 124 124 0 303 627 630
1905 2 3 124 124 0 301 628 635
1906 2 3 124 124 0 627 304 633
1907 2 3 124 124 0 301 302 634
1908 2 3 124 124 0 297 296 631
1909 2 3 124 124 0 300 129 632
1910 2 3 124 124 0 296 128 635
1911 2 3 124 124 0 628 296 635
1912 2 3 124 124 0 630 627 633
1913 2 3 124 124 0 302 630 634
1914 2 3 124 124 0 128 301 635
1915 2 3 124 124 0 631 625 632
1916 2 3 124 124 0 297 631 632
1917 2 3 125 125 0 302 636 637
1918 2 3 125 125 0 306 134 637
1919 2 3 125 125 0 637 636 306
1920 2 3 125 125 0 307 637 134
1921 2 3 125 125 0 638 133 305
1922 2 3 125 125 0 295 133 638
1923 2 3 125 125 0 301 128 638
1924 2 3 125 125 0 638 128 295
1925 2 3 125 125 0 84 303 81
1926 2 3 125 125 0 81 303 307
1927 2 3 125 125 0 638 636 301
1928 2 3 125 125 0 305 636 638
1929 2 3 125 125 0 302 301 636
1930 2 3 125 125 0 305 306 636
1931 2 3 125 125 0 307 303 637
1932 2 3 125 125 0 637 303 302
1933 2 3 126 126 0 639 640 641
1934 2 3 126 126 0 640 208 641
1935 2 3 126 126 0 298 129 642
1936 2 3 126 126 0 642 129 300
1937 2 3 126 126 0 642 111 298
1938 2 3 126 126 0 268 111 642
1939 2 3 126 126 0 112 641 48
1940 2 3 126 126 0 48 641 208
1941 2 3 126 126 0 640 639 299
1942 2 3 126 126 0 640 49 208
1943 2 3 126 126 0 641 112 268
1944 2 3 126 126 0 639 300 299
1945 2 3 126 126 0 299 49 640
1946 2 3 126 126 0 642 639 268
1947 2 3 126 126 0 268 639 641
1948 2 3 126 126 0 300 639 642
1949 2 3 127 127 0 130 643 308
1950 2 3 127 127 0 130 308 131
1951 2 3 127 127 0 130 71 643
1952 2 3 127 127 0 72 132 643
1953 2 3 127 127 0 643 71 72
1954 2 3 127 127 0 643 132 308
1955 2 3 128 128 0 131 644 309
1956 2 3 128 128 0 131 308 644
1957 2 3 128 128 0 82 645 81
1958 2 3 128 128 0 645 307 81
1959 2 3 128 128 0 645 644 307
1960 2 3 128 128 0 645 82 309
1961 2 3 128 128 0 309 644 645
1962 2 3 128 128 0 646 132 134
1963 2 3 128 128 0 134 307 646
1964 2 3 128 128 0 308 132 646
1965 2 3 128 128 0 308 646 644
1966 2 3 128 128 0 644 646 307
1967 2 3 129 129 0 74 47 71
1968 2 3 129 129 0 47 51 71
1969 2 3 129 129 0 51 130 71
1970 2 3 130 130 0 647 648 309
1971 2 3 130 130 0 647 304 648
1972 2 3 130 130 0 648 131 309
1973 2 3 130 130 0 648 130 131
1974 2 3 130 130 0 304 50 648
1975 2 3 130 130 0 648 50 210
1976 2 3 130 130 0 647 83 304
1977 2 3 130 130 0 82 83 647
1978 2 3 130 130 0 648 51 130
1979 2 3 130 130 0 309 82 647
1980 2 3 130 130 0 210 51 648
1981 2 3 131 131 0 305 649 133
1982 2 3 131 131 0 649 294 133
1983 2 3 131 131 0 649 56 294
1984 2 3 131 131 0 216 56 649
1985 2 3 131 131 0 650 651 306
1986 2 3 131 131 0 57 651 650
1987 2 3 131 131 0 650 72 57
1988 2 3 131 131 0 306 134 650
1989 2 3 131 131 0 650 134 132
1990 2 3 131 131 0 650 132 72
1991 2 3 131 131 0 651 305 306
1992 2 3 131 131 0 651 57 216
1993 2 3 131 131 0 649 651 216
1994 2 3 131 131 0 305 651 649
1995 2 3 132 132 0 652 135 313
1996 2 3 132 132 0 312 135 652
1997 2 3 132 132 0 311 653 136
1998 2 3 132 132 0 136 653 310
1999 2 3 132 132 0 652 138 314
2000 2 3 132 132 0 313 138 652
2001 2 3 132 132 0 315 122 654
2002 2 3 132 132 0 654 122 120
2003 2 3 132 132 0 310 653 654
2004 2 3 132 132 0 654 653 315
2005 2 3 132 132 0 654 120 310
2006 2 3 132 132 0 314 315 655
2007 2 3 132 132 0 311 312 655
2008 2 3 132 132 0 652 655 312
2009 2 3 132 132 0 653 655 315
2010 2 3 132 132 0 314 655 652
2011 2 3 132 132 0 311 655 653
2012 2 3 133 133 0 316 313 135
2013 2 3 133 133 0 313 316 656
2014 2 3 133 133 0 138 313 317
2015 2 3 133 133 0 317 313 656
2016 2 3 133 133 0 96 247 656
2017 2 3 133 133 0 316 96 656
2018 2 3 133 133 0 100 317 657
2019 2 3 133 133 0 656 247 657
2020 2 3 133 133 0 247 100 657
2021 2 3 133 133 0 317 656 657
2022 2 3 134 134 0 120 310 658
2023 2 3 134 134 0 136 318 310
2024 2 3 134 134 0 310 318 658
2025 2 3 134 134 0 318 137 658
2026 2 3 134 134 0 127 121 658
2027 2 3 134 134 0 137 127 658
2028 2 3 134 134 0 121 120 658
2029 2 3 135 135 0 99 254 137
2030 2 3 135 135 0 254 293 127
2031 2 3 135 135 0 88 293 254
2032 2 3 135 135 0 87 293 88
2033 2 3 135 135 0 137 254 127
2034 2 3 136 136 0 659 660 137
2035 2 3 136 136 0 659 311 660
2036 2 3 136 136 0 316 135 661
2037 2 3 136 136 0 661 135 312
2038 2 3 136 136 0 661 96 316
2039 2 3 136 136 0 660 136 318
2040 2 3 136 136 0 318 137 660
2041 2 3 136 136 0 311 136 660
2042 2 3 136 136 0 255 96 661
2043 2 3 136 136 0 99 659 137
2044 2 3 136 136 0 659 99 255
2045 2 3 136 136 0 659 312 311
2046 2 3 136 136 0 312 659 661
2047 2 3 136 136 0 661 659 255
2048 2 3 137 137 0 100 662 256
2049 2 3 137 137 0 317 662 100
2050 2 3 137 137 0 663 664 665
2051 2 3 137 137 0 666 315 663
2052 2 3 137 137 0 664 124 90
2053 2 3 137 137 0 662 138 314
2054 2 3 137 137 0 317 138 662
2055 2 3 137 137 0 665 666 663
2056 2 3 137 137 0 90 246 664
2057 2 3 137 137 0 246 665 664
2058 2 3 137 137 0 664 663 289
2059 2 3 137 137 0 256 666 665
2060 2 3 137 137 0 314 666 662
2061 2 3 137 137 0 289 124 664
2062 2 3 137 137 0 666 314 315
2063 2 3 137 137 0 315 122 663
2064 2 3 137 137 0 665 91 256
2065 2 3 137 137 0 663 122 289
2066 2 3 137 137 0 246 91 665
2067 2 3 137 137 0 662 666 256
2068 2 3 138 138 0 667 668 669
2069 2 3 138 138 0 667 322 668
2070 2 3 138 138 0 27 188 320
2071 2 3 138 138 0 319 669 668
2072 2 3 138 138 0 322 139 668
2073 2 3 138 138 0 668 139 319
2074 2 3 138 138 0 188 669 320
2075 2 3 138 138 0 320 669 319
2076 2 3 138 138 0 10 321 153
2077 2 3 138 138 0 188 187 669
2078 2 3 138 138 0 670 15 153
2079 2 3 138 138 0 187 15 670
2080 2 3 138 138 0 670 667 187
2081 2 3 138 138 0 670 153 321
2082 2 3 138 138 0 321 667 670
2083 2 3 138 138 0 667 321 322
2084 2 3 138 138 0 667 669 187
2085 2 3 139 139 0 671 672 673
2086 2 3 139 139 0 672 189 27
2087 2 3 139 139 0 320 672 27
2088 2 3 139 139 0 326 327 674
2089 2 3 139 139 0 675 676 674
2090 2 3 139 139 0 674 676 325
2091 2 3 139 139 0 324 325 676
2092 2 3 139 139 0 672 677 678
2093 2 3 139 139 0 672 678 673
2094 2 3 139 139 0 677 323 678
2095 2 3 139 139 0 677 672 320
2096 2 3 139 139 0 674 679 675
2097 2 3 139 139 0 327 679 674
2098 2 3 139 139 0 673 680 671
2099 2 3 139 139 0 671 680 190
2100 2 3 139 139 0 680 679 250
2101 2 3 139 139 0 678 323 324
2102 2 3 139 139 0 680 673 675
2103 2 3 139 139 0 675 673 676
2104 2 3 139 139 0 675 679 680
2105 2 3 139 139 0 677 139 323
2106 2 3 139 139 0 319 139 677
2107 2 3 139 139 0 326 674 140
2108 2 3 139 139 0 674 325 140
2109 2 3 139 139 0 678 676 673
2110 2 3 139 139 0 324 676 678
2111 2 3 139 139 0 679 101 250
2112 2 3 139 139 0 190 189 671
2113 2 3 139 139 0 672 671 189
2114 2 3 139 139 0 327 101 679
2115 2 3 139 139 0 680 31 190
2116 2 3 139 139 0 250 31 680
2117 2 3 139 139 0 320 319 677
2118 2 3 140 140 0 681 682 683
2119 2 3 140 140 0 125 683 682
2120 2 3 140 140 0 683 125 328
2121 2 3 140 140 0 684 328 329
2122 2 3 140 140 0 682 681 685
2123 2 3 140 140 0 322 321 686
2124 2 3 140 140 0 684 329 140
2125 2 3 140 140 0 325 684 140
2126 2 3 140 140 0 325 687 684
2127 2 3 140 140 0 686 321 688
2128 2 3 140 140 0 689 139 322
2129 2 3 140 140 0 323 139 689
2130 2 3 140 140 0 690 686 688
2131 2 3 140 140 0 686 690 691
2132 2 3 140 140 0 166 690 688
2133 2 3 140 140 0 690 166 165
2134 2 3 140 140 0 682 685 164
2135 2 3 140 140 0 684 683 328
2136 2 3 140 140 0 691 689 686
2137 2 3 140 140 0 687 683 684
2138 2 3 140 140 0 322 686 689
2139 2 3 140 140 0 689 692 323
2140 2 3 140 140 0 691 692 689
2141 2 3 140 140 0 691 693 692
2142 2 3 140 140 0 324 323 692
2143 2 3 140 140 0 690 685 693
2144 2 3 140 140 0 165 685 690
2145 2 3 140 140 0 687 325 324
2146 2 3 140 140 0 692 693 681
2147 2 3 140 140 0 681 687 692
2148 2 3 140 140 0 692 687 324
2149 2 3 140 140 0 683 687 681
2150 2 3 140 140 0 165 164 685
2151 2 3 140 140 0 681 693 685
2152 2 3 140 140 0 688 10 166
2153 2 3 140 140 0 321 10 688
2154 2 3 140 140 0 164 12 682
2155 2 3 140 140 0 682 12 125
2156 2 3 140 140 0 690 693 691
2157 2 3 141 141 0 292 328 696
2158 2 3 141 141 0 695 292 696
2159 2 3 141 141 0 125 328 292
2160 2 3 141 141 0 258 93 695
2161 2 3 141 141 0 258 695 697
2162 2 3 141 141 0 694 695 696
2163 2 3 141 141 0 92 292 695
2164 2 3 141 141 0 695 694 697
2165 2 3 141 141 0 93 92 695
2166 2 3 141 141 0 326 327 694
2167 2 3 141 141 0 327 101 697
2168 2 3 141 141 0 101 258 697
2169 2 3 141 141 0 328 329 696
2170 2 3 141 141 0 329 140 698
2171 2 3 141 141 0 140 326 698
2172 2 3 141 141 0 694 327 697
2173 2 3 141 141 0 694 696 698
2174 2 3 141 141 0 696 329 698
2175 2 3 141 141 0 326 694 698
2176 2 3 142 142 0 330 331 700
2177 2 3 142 142 0 286 701 702
2178 2 3 142 142 0 115 286 702
2179 2 3 142 142 0 122 315 701
2180 2 3 142 142 0 699 703 704
2181 2 3 142 142 0 704 333 706
2182 2 3 142 142 0 703 700 704
2183 2 3 142 142 0 330 700 707
2184 2 3 142 142 0 700 331 705
2185 2 3 142 142 0 703 314 707
2186 2 3 142 142 0 315 314 703
2187 2 3 142 142 0 333 334 706
2188 2 3 142 142 0 286 122 701
2189 2 3 142 142 0 332 333 704
2190 2 3 142 142 0 272 115 702
2191 2 3 142 142 0 141 332 705
2192 2 3 142 142 0 699 704 706
2193 2 3 142 142 0 331 141 705
2194 2 3 142 142 0 332 704 705
2195 2 3 142 142 0 701 699 702
2196 2 3 142 142 0 701 315 703
2197 2 3 142 142 0 138 330 707
2198 2 3 142 142 0 314 138 707
2199 2 3 142 142 0 700 703 707
2200 2 3 142 142 0 699 701 703
2201 2 3 142 142 0 272 702 708
2202 2 3 142 142 0 334 114 708
2203 2 3 142 142 0 704 700 705
2204 2 3 142 142 0 702 706 708
2205 2 3 142 142 0 702 699 706
2206 2 3 142 142 0 114 272 708
2207 2 3 142 142 0 706 334 708
2208 2 3 143 143 0 330 138 714
2209 2 3 143 143 0 138 317 714
2210 2 3 143 143 0 317 100 710
2211 2 3 143 143 0 709 712 715
2212 2 3 143 143 0 712 711 715
2213 2 3 143 143 0 317 710 714
2214 2 3 143 143 0 711 330 714
2215 2 3 143 143 0 331 330 711
2216 2 3 143 143 0 327 326 709
2217 2 3 143 143 0 101 327 713
2218 2 3 143 143 0 327 709 713
2219 2 3 143 143 0 335 336 712
2220 2 3 143 143 0 713 709 715
2221 2 3 143 143 0 712 709 716
2222 2 3 143 143 0 140 335 716
2223 2 3 143 143 0 100 251 710
2224 2 3 143 143 0 141 331 717
2225 2 3 143 143 0 326 140 716
2226 2 3 143 143 0 251 101 713
2227 2 3 143 143 0 336 141 717
2228 2 3 143 143 0 710 713 715
2229 2 3 143 143 0 331 711 717
2230 2 3 143 143 0 710 251 713
2231 2 3 143 143 0 335 712 716
2232 2 3 143 143 0 711 712 717
2233 2 3 143 143 0 709 326 716
2234 2 3 143 143 0 714 710 715
2235 2 3 143 143 0 711 714 715
2236 2 3 143 143 0 712 336 717
2237 2 3 144 144 0 718 719 720
2238 2 3 144 144 0 718 721 719
2239 2 3 144 144 0 718 722 723
2240 2 3 144 144 0 723 722 335
2241 2 3 144 144 0 722 332 141
2242 2 3 144 144 0 724 334 725
2243 2 3 144 144 0 336 722 141
2244 2 3 144 144 0 726 291 117
2245 2 3 144 144 0 334 719 725
2246 2 3 144 144 0 334 333 719
2247 2 3 144 144 0 726 725 721
2248 2 3 144 144 0 721 727 726
2249 2 3 144 144 0 726 727 291
2250 2 3 144 144 0 718 720 722
2251 2 3 144 144 0 722 720 332
2252 2 3 144 144 0 724 114 334
2253 2 3 144 144 0 279 114 724
2254 2 3 144 144 0 728 727 721
2255 2 3 144 144 0 328 727 728
2256 2 3 144 144 0 726 724 725
2257 2 3 144 144 0 333 720 719
2258 2 3 144 144 0 721 725 719
2259 2 3 144 144 0 724 726 117
2260 2 3 144 144 0 723 140 329
2261 2 3 144 144 0 335 140 723
2262 2 3 144 144 0 723 728 718
2263 2 3 144 144 0 329 728 723
2264 2 3 144 144 0 727 125 291
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$EndElsetOrientations
================================================
FILE: Neper2Abaqus/Step-1 Neper/abq_tet.stelset
================================================
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================================================
FILE: Neper2Abaqus/Step-1 Neper/gene_mult_3.tess
================================================
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-0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
139 5 27 139 140 101 31
5 -258 260 261 -161 -42
-0.000000000000 -0.000000000000 -1.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
140 5 125 140 139 10 12
5 262 -260 -259 -11 -220
-0.000000000000 -0.000000000000 -0.000000000000 -1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
141 5 92 125 140 101 93
5 222 262 261 171 156
-0.633261305149 -0.990275489894 -0.038366991922 -0.133725196002
0 0 0.000000000000 0.000000000000 0.000000000000
142 5 122 138 141 114 115
5 -252 263 264 -194 -211
1.000000000000 1.000000000000 0.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
143 5 141 138 100 101 140
5 -263 -254 -162 -261 265
-0.000000000000 -0.000000000000 -1.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
144 5 141 140 125 117 114
5 -265 -262 -219 -198 -264
-0.000000000000 -0.000000000000 -0.000000000000 -1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
145 5 41 42 142 135 136
5 -61 266 267 -250 268
1.000000000000 1.000000000000 0.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
146 5 135 142 143 97 96
5 -267 269 270 -158 -253
-0.000000000000 -0.000000000000 -1.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
147 4 142 42 45 143
4 -266 -63 271 -269
1.000000000000 0.000000000000 0.000000000000 1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
148 5 137 44 46 98 99
5 272 -76 273 166 -257
0.654578575745 0.642281148362 -0.570265374189 0.512125306405
0 0 0.000000000000 0.000000000000 0.000000000000
149 5 46 45 143 97 98
5 -75 271 270 170 -273
0.469085692991 0.966400736902 -0.191911038584 -0.170996400500
0 0 0.000000000000 0.000000000000 0.000000000000
150 4 41 44 137 136
4 -73 -272 -255 268
0.020622745831 -0.073032528814 -0.822851781772 0.563543427759
0 0 0.000000000000 0.000000000000 0.000000000000
151 6 120 104 106 39 41 136
6 -209 -173 274 -62 -268 -249
1.000000000000 1.000000000000 0.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
152 5 127 126 43 44 137
5 -229 224 72 -272 256
0.822868523296 0.931482911933 0.353853715539 -0.084422347607
0 0 0.000000000000 0.000000000000 0.000000000000
153 4 106 39 40 107
4 274 71 225 -190
-0.910996052821 0.019536473376 -0.759193756906 -0.650571414744
0 0 0.000000000000 0.000000000000 0.000000000000
154 5 119 85 69 71 130
5 -206 145 -109 -243 275
0.462628960871 0.913912440692 -0.327374241953 0.239979491736
0 0 0.000000000000 0.000000000000 0.000000000000
155 6 119 94 98 46 51 130
6 207 165 -273 77 248 275
0.207217204775 -0.400642485620 -0.439180958203 0.804117954450
0 0 0.000000000000 0.000000000000 0.000000000000
156 4 52 110 20 4
4 -178 -197 -8 -82
1.000000000000 0.000000000000 1.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
157 5 143 77 76 95 97
5 276 -127 -203 -159 -270
-0.000000000000 -0.000000000000 -1.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
158 5 77 143 45 50 83
5 -276 -271 -66 -239 -130
1.000000000000 0.000000000000 0.000000000000 1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
159 4 118 119 130 131
4 -204 -275 -242 277
0.474359249604 0.336627693501 -0.552542393120 0.762481934064
0 0 0.000000000000 0.000000000000 0.000000000000
160 4 78 118 131 82
4 208 -277 -247 136
0.414272411019 0.768369270228 -0.483174397323 0.419703664912
0 0 0.000000000000 0.000000000000 0.000000000000
161 5 105 144 38 39 106
5 278 279 -59 -274 -172
1.000000000000 1.000000000000 0.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
162 4 144 105 111 129
4 -278 -180 -236 280
1.000000000000 0.000000000000 1.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
163 4 38 144 129 49
4 -279 -280 -237 -64
1.000000000000 0.000000000000 0.000000000000 1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
164 5 146 145 2 16 36
5 281 282 -5 -40 283
-0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
165 5 3 2 145 133 56
5 -6 -282 284 -233 -83
1.000000000000 0.000000000000 1.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
166 5 132 72 13 17 37
5 -244 -111 16 53 285
0.199637841696 -0.584358138773 0.803202526122 -0.115720645009
0 0 0.000000000000 0.000000000000 0.000000000000
167 5 146 134 132 37 36
5 286 -246 -285 -55 283
0.144580304188 -0.061840471394 0.866395482386 -0.495514504529
0 0 0.000000000000 0.000000000000 0.000000000000
168 4 145 146 134 133
4 -281 286 -240 -284
0.669649188703 -0.152191841647 -0.081874027278 0.984953951712
0 0 0.000000000000 0.000000000000 0.000000000000
169 4 36 33 80 146
4 -39 -126 287 -283
-0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
170 5 118 25 37 132 131
5 205 -51 285 245 277
-0.084776451334 0.804956789103 0.097614371589 -0.585248666924
0 0 0.000000000000 0.000000000000 0.000000000000
171 4 80 146 134 81
4 287 286 241 -134
-0.894492448902 0.230806938858 -0.729963450152 -0.643336240560
0 0 0.000000000000 0.000000000000 0.000000000000
172 5 147 145 146 80 79
5 288 -281 -287 -125 289
-0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
173 4 147 128 133 145
4 290 -234 -284 -288
1.000000000000 0.000000000000 1.000000000000 0.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
174 4 128 147 79 84
4 -290 -289 -132 -238
1.000000000000 0.000000000000 0.000000000000 1.000000000000
0 0 0.000000000000 0.000000000000 0.000000000000
**polyhedron
30
1 14 1 2 3 -4 -5 -6 -7 -8 -9 10 -11 12 -13 -14
2 11 15 16 17 18 -19 -20 21 22 -23 -24 13
3 9 25 26 27 -28 29 30 31 -32 -33
4 8 34 -35 -36 -37 -38 -39 40 8
5 10 -41 37 -42 43 -44 -45 -46 -47 -48 7
6 11 36 42 -49 -50 -51 -52 -53 54 55 -56 -10
7 9 57 58 59 60 61 -62 23 -63 -64
8 13 -65 66 67 52 -68 69 47 -70 20 -71 72 73 9
9 10 74 -67 -75 76 77 78 -22 -79 80 -81
10 13 82 83 -84 -85 45 -86 38 87 88 -89 -54 90 -91
11 10 92 93 94 95 48 96 97 -90 98 14
12 9 99 -100 75 -101 -102 -17 103 70 -61
13 9 104 105 44 106 86 107 -108 -96 -109
14 9 110 68 46 108 111 112 -97 113 5
15 8 -114 -115 -116 51 -27 84 117 118
16 11 -105 116 -43 50 -119 120 65 121 -87 -112 122
17 15 123 124 125 -118 56 126 -127 33 -128 -40 129 -130 -131 91 64
18 10 132 133 -134 -77 -121 -107 -135 136 -137 71
19 9 138 139 140 -21 -113 -73 -141 81 11
20 11 142 143 144 -111 137 109 -72 -80 -122 141 -98
21 9 145 146 147 -30 -148 -149 -150 -136 79
22 10 151 114 -120 -152 28 -106 134 -88 -153 150
23 13 115 119 152 -154 -76 53 -69 155 -103 -31 135 148 -129
24 6 156 41 35 85 -95 6
25 11 157 158 101 -155 149 32 62 -159 -78 -160 130
26 8 161 162 163 -29 -117 89 153 -126
27 10 164 165 -166 -167 39 -55 168 4 131 24
28 9 169 170 102 -60 167 19 -171 160 128
29 7 172 173 174 171 -125 -168 63
30 10 49 -170 100 -66 154 166 -18 159 127 -12
**domain
*general
cube
*vertex
8
1 0.000000000000 0.000000000000 0.000000000000 x0y0z0
1 139
2 1.000000000000 0.000000000000 0.000000000000 x1y0z0
1 141
3 1.000000000000 1.000000000000 0.000000000000 x1y1z0
1 113
4 0.000000000000 1.000000000000 0.000000000000 x0y1z0
1 1
5 0.000000000000 0.000000000000 1.000000000000 x0y0z1
1 75
6 0.000000000000 1.000000000000 1.000000000000 x0y1z1
1 147
7 1.000000000000 1.000000000000 1.000000000000 x1y1z1
1 144
8 1.000000000000 0.000000000000 1.000000000000 x1y0z1
1 142
*edge
12
1 2 4 6
x0y1
3 1 282 288
2 2 6 5
x0z1
2 124 289
3 2 5 1
x0y0
3 37 123 258
4 2 1 4
x0z0
2 2 259
5 2 2 8
x1y0
3 251 263 267
6 2 8 7
x1z1
3 60 266 279
7 2 7 3
x1y1
3 176 192 278
8 2 3 2
x1z0
2 195 264
9 2 5 8
y0z1
3 128 269 276
10 2 2 1
y0z0
2 260 265
11 2 4 3
y1z0
2 10 196
12 2 7 6
y1z1
3 235 280 290
*face
6
1 4 4 6 5 1
4 1 2 3 4
plane
4 0.000000000000 1.000000000000 0.000000000000 0.000000000000
x0
7 1 15 57 138 164 169 172
2 4 2 8 7 3
4 5 6 7 8
plane
4 -1.000000000000 -1.000000000000 -0.000000000000 -0.000000000000
x1
9 25 82 92 104 132 142 145 151 161
3 4 1 5 8 2
4 3 9 5 10
plane
4 0.000000000000 0.000000000000 1.000000000000 0.000000000000
y0
9 16 58 74 99 133 139 143 146 157
4 4 4 3 7 6
4 11 7 12 1
plane
4 -1.000000000000 -0.000000000000 -1.000000000000 -0.000000000000
y1
9 2 34 83 93 123 156 162 165 173
5 4 1 2 3 4
4 10 8 11 4
plane
4 0.000000000000 0.000000000000 0.000000000000 1.000000000000
z0
5 3 94 110 140 144
6 4 5 6 7 8
4 2 12 6 9
plane
4 -1.000000000000 -0.000000000000 -0.000000000000 -1.000000000000
z1
7 26 59 124 147 158 163 174
***end
================================================
FILE: Neper2Abaqus/Step-1 Neper/script
================================================
#creating 30 grains with euler angles
$ neper -T -n 30 -morpho gg -ori random -oriformat plain -oridescriptor e -o gene_mult_3
# Visualize the tesselation
$ neper -V gene_mult_3.tess -datacellcol id -print Image_1
#create abaqus input file with hexagonal elements and continuous grain boundaries
$ neper -M gene_mult_3.tess -statelset vol -rcl 1 -elttype hex -order 1 -interface continuous -format inp -o abq_hex -format msh
# Visualize the mesh
$ neper -V abq_hex.msh -dataelsetcol id -print Image_3
#create abaqus input file with hexagonal elements and continuous grain boundaries
$ neper -M gene_mult_3.tess -statelset vol -rcl 1 -elttype tet -order 1 -interface continuous -format inp -o abq_tet -format msh
# Visualize the mesh
$ neper -V abq_tet.msh -dataelsetcol id -print Image_2
================================================
FILE: Neper2Abaqus/Step-2a Matlab/Neper2Abaqus.m
================================================
function Neper2Abaqus(filename,matID,noDepvar)
%% Input
% filename - name of the material parameter file
% Set material ID:
% - enter "0" to use Dream3D number output
% - enter "1-10" material ID number if user defined!
% Number of state variables
% Number of outputs
% noDepvar
% The name of the excel file:
% inputfile_info.xlsx
% --------------------------
% Convert the Dream3D outputs to Abaqus input file
% Designed for input structure of DBF_code - A UMAT subroutine for crystal
% plasticity
% Feb. 2nd, 2022
% written by
% Eralp Demir
% eralp.demir@eng.ox.ac.uk
% --------------------------
% .msh file format
% $Nodes
%
%
% ...
% $EndNodes
% $Elements
%
% ... ...
% ...
% $EndElements
% $NSets
%
%
%
%
%
% ...
%
% ...
% $EndNSets
% $PhysicalNames
%
%
% ...
% $EndPhysicalNames
% $ElsetOrientations
%
% ori_des1> ...
% ...
% $EndElsetOrientations
tic
format shortg
% Read ".msh" file
fid = fopen([filename '.msh'],'r+');
% Read line by line
tline = fgetl(fid);
tlines = cell(0,1);
while ischar(tline)
tlines{end+1,1} = tline;
tline = fgetl(fid);
end
fclose(fid);
% Convert cell to string arrays
slines=string(tlines);
% % % Read .INP file
% % gid = fopen([filename '.inp'],'r+');
% %
% % % Read line by line
% % ttline = fgetl(gid);
% % ttlines = cell(0,1);
% % while ischar(ttline)
% % ttlines{end+1,1} = ttline;
% % ttline = fgetl(gid);
% % end
% %
% % fclose(gid);
% %
% %
% % % Convert cell to string arrays
% % sslines=string(ttlines);
% %
% %
% % %%%%%%%%%%%% PROCESSING .INP FILE %%%%%%%%%%%%%%%%%%%%%%%
% %
% % % Find the number of elemnent from .INP file
% % for i=1:size(sslines,1)
% % % Find the first line that start with "*Elset"
% % idx = strfind(sslines(i),'*Elset');
% % if idx == 1
% % nd=i;
% % break
% % end
% % end
% %
% % % Go back two lines and convert to number
% % aa = str2num(sslines(nd-2));
% %
% % % The first element is the number of elements
% % tot_els = aa(1);
% %
% %
% % % Find the line number right before "*PART" from .INP file
% % for i=1:size(sslines,1)
% % % Find the first line that start with "*END PART"
% % idx = strfind(sslines(i),'*End Part');
% % if idx == 1
% % nd=i;
% % break
% % end
% % end
% %
% % nd = nd - 1;
% %
% % % The variable 'nd' will be used later when creating the "filename_.INP" file
%%%%%%%%%%%% PROCESSING .MSH FILE %%%%%%%%%%%%%%%%%%%%%%%
% Find the header line
st =find(slines=='$Nodes');
% Find the cell that starts with the total node number
tot_nodes = str2num(slines(st+1));
% Read node coordinates
crds = zeros(tot_nodes,4);
for i = st+2 : 1 : st+2+tot_nodes-1
dummy = str2num(slines(i));
% Node index
ii = dummy(1);
% Coordinates
crds(ii,1:4) = dummy(1:4);
end
% Find the header line
st =find(slines=='$EndElements');
% Assuming the same element type throughout the mesh!!!
% Read the first line
dummy = str2num(slines(st-1));
% Number of tags
ntag = dummy(3);
neltyp = dummy(2);
% Element type (Neper documentation)
% is an integer specifying the type of elements: 15 for a 0D element,
% 1 for a 1st-order 1D element (2 nodes), 8 for a 2nd-order 1D element (3 nodes),
% 2 for a 1st-order triangular element (3 nodes),
% 3 for a 1st-order quadrangular element (4 nodes),
% 9 for a 2nd-order triangular element (6 nodes),
% 16 for a 2nd-order quadrangular element (8 nodes),
% 10 for a 2nd-order quadrangular element (9 nodes),
% 4 for a 1st-order tetrahedral element (4 nodes),
% 5 for a 1st-order hexahedral element (8 nodes),
% 11 for a 2nd-order tetrahedral element (10 nodes),
% 17 for a 2nd-order hexahedral element (20 nodes),
% 6 for a 1st-order prismatic element (6 nodes),
% 18 for a 2nd-order prismatic element (15 nodes).
% If 2D problem
% PS: plane stress
% PE: plane strain
ch='PS'; % plane stress by default
switch neltyp
case 2
eltyp = ['C',ch,'3'];
nnpel = 3;
numpt = 1;
case 3
eltyp = ['C',ch,'4'];
nnpel = 4;
numpt = 4;
case 9
eltyp = ['C',ch,'6'];
nnpel = 6;
numpt = 3;
case 16
eltyp = ['C',ch,'8'];
nnpel = 8;
numpt = 4;
case 4
eltyp = 'C3D4';
nnpel = 4;
numpt = 1;
case 6
eltyp = 'C3D6';
nnpel = 6;
numpt = 2;
case 5
eltyp = 'C3D8';
nnpel = 8;
numpt = 8;
case 11
eltyp = 'C3D10';
nnpel = 10;
numpt = 4;
case 18
eltyp = 'C3D15';
nnpel = 15;
numpt = 9;
case 17
eltyp = 'C3D20';
nnpel = 20;
numpt = 27;
end
% Total number of elements
% Read from bottom line until the
i=0; etyp = neltyp;
while etyp == neltyp
i = i + 1;
dummy = str2num(slines(st-i));
if size(dummy,2)>1
etyp = dummy(2);
% Reached the top of the line
else
break
end
end
tot_els = i-1;
% Read connectivity
conn = zeros(tot_els,nnpel+1);
% Grain ids
grains = zeros(tot_els,1);
% Phase ids
phases = zeros(tot_els,1);
% Material-ID
materials = ones(tot_els,1)*matID;
ii=tot_els;
for i = st-1 : -1 : st-1-tot_els+1
dummy = str2num(slines(i));
% Connectivity
conn(ii,1:nnpel+1) = [dummy(1), dummy(3+ntag+1 : 1 : 3+ntag+nnpel)];
grains(ii) = dummy(4);
% Last tag is assumed to be the phase id
% It is normally zero so set to some number
phases(ii) = dummy(3+ntag) ;
% Element index
ii = ii -1;
end
% Read set names
% Set name
% Find the header line
% Start from the bottom
st =find(slines=='$EndPhysicalNames');
cc = char(slines(st-1));
[aa,~,~,nextindex] = sscanf(cc,'%d %d');
ee=char(aa(2));
dd = cc(nextindex:end);
setname = dd(1:end-size(ee,2));
% Euler angles for each geain
% Find the header line
st =find(slines=='$ElsetOrientations');
tot_grains = sscanf(slines(st+1),'%d');
eulers = zeros(tot_grains,3);
for i=st+2:1:tot_grains+st+1
dummy=str2num(slines(i));
eulers(dummy(1),1:3) = dummy(2:4);
end
% Euler angles for each element
% Assign Euler angles to each element
euler = zeros(tot_els,3);
for i=1:1:tot_els
% Grain ID
grnid = grains(i);
% Euler angle
euler(i,1:3) = eulers(grnid,1:3);
end
[grain_order, grain_record]=unique(grains);
grain_order=grain_order';
grain_record=grain_record';
phase_order=phases(grain_record);
material_order = materials(grain_record);
euler_angle1=euler(grain_record,1);
euler_angle2=euler(grain_record,2);
euler_angle3=euler(grain_record,3);
%
%%% Generate the rotation matrix
% for ii=1:length(grain_order)
% %%
% %need to create the rotation matrix for each euler angle for each
% %grain. This matrix is then used to rotate a global orientation to
% %the what is is n the local orientation.
% zrot=[cosd(euler_angle1(ii)), sind(euler_angle1(ii)), 0; -sind(euler_angle1(ii)), cosd(euler_angle1(ii)),0; 0,0,1];
% xrot=[1,0,0;0,cosd(euler_angle2(ii)),sind(euler_angle2(ii));0,-sind(euler_angle2(ii)),cosd(euler_angle2(ii))];
% zrot2=[cosd(euler_angle3(ii)),sind(euler_angle3(ii)),0;-sind(euler_angle3(ii)),cosd(euler_angle3(ii)),0;0,0,1];
%
% %total rotation matrix - crystal to sample transformation
% total_rot=transpose(zrot2*xrot*zrot);
%
%
%
% end
% Write the overall element and node sets to input file
% open inp file and write keywords
inpFile = fopen([filename '.inp'],'wt');
fprintf(inpFile,'** Generated by Neper and modified by: Neper2Abaqus.m\n');
fprintf(inpFile,'**PARTS\n**\n');
fprintf(inpFile,'*Part, name=NEPER\n');
% write nodes
fprintf(inpFile,'*NODE\n');
fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',crds');
% write elements
fprintf(inpFile,['*Element, type=',eltyp,'\n']);
str=[];
for i=1:1:nnpel
str = [str, '%8d,'];
end
str = [str, '%8d\n'];
fprintf(inpFile,str,conn');
%% Write the elements sets for each grain to the input file
% create element sets containing grains
for ii = 1:numel(unique(grains))
%%
fprintf(inpFile,'\n*Elset, elset=GRAIN-%d\n',grain_order(ii));
fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',conn(grains==grain_order(ii))');
numels=0;
for tt=1:length(conn(grains==grain_order(ii)))
%%
numels=numels+1;
end
numels_total(grain_order(ii))=numels;
end
%% Write element set for each phase to input file
uniPhases = unique(phases);
for ii = 1:numel(unique(phases))
fprintf(inpFile,'\n*Elset, elset=Phase-%d\n',ii);
fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',conn(phases==uniPhases(ii))');
end
% %% Calculate grain spherical equivalent diameter
% % calulate diamater in microns
% % additionally, the dimaters for each ground are written to a separate
% % text file to be used to developed a grain size histogram
% diameterID=fopen('diameter.txt','w');
% for ii=1:numel(unique(grains))
% %%
% diameter(grain_order(ii))=((((6.0/pi)*(numels_total(grain_order(ii))))^(1/3)));
% fprintf(diameterID, '%d\n', diameter(grain_order(ii)));
% end
% fclose(diameterID);
%% write sections to each grain
for ii=1:length(grain_order)
%%
fprintf(inpFile,'\n**Section: Section_Grain-%d\n*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n,\n',grain_order(ii),grain_order(ii),grain_order(ii));
end
%% Continue writing the input file with assembly information
% write a closing keyword
fprintf(inpFile,'*End Part');
%writing assembly
fprintf(inpFile,'\n**\n**ASSEMBLY\n**');
fprintf(inpFile,'\n*Assembly, name=Assembly\n**');
fprintf(inpFile,'\n*Instance, name=NEPER-1, part=NEPER\n');
% write nodes
fprintf(inpFile,'*NODE\n');
fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',crds');
% write elements
fprintf(inpFile,['*Element, type=', eltyp, '\n']);
str=[];
for i=1:1:nnpel
str = [str, '%8d,'];
end
str = [str, '%8d\n'];
fprintf(inpFile,str,conn');
fprintf(inpFile,'\n*End Instance\n**');
%% Closing the assembly component of the input file
fprintf(inpFile,'\n*End Assembly');
fprintf(inpFile, '\n**MATERIALS\n**');
%import material parameters to be used in the development of materials
%for each grain.
xlRange='A1:A6';
[A16]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange);
%% Finalising the input file
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
% Are the material properties given in the excel file?
% Read from excel file (if read_all_props==true)
if A16(6)==0
A = strings(6,1);
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
A(6)=0;
% Number variables in DEPVAR
noPROPS = 6;
% Do not define anything further
else
A = strings(300,1);
% Flag for reading the inputs from the file or material library
% "0": material library in usermaterial.f will be used
% "1": use the material parameters in excel file
A(6)=1;
% Number variables in DEPVAR
% Has a fixed size - including additional space for extra variables
noPROPS = 300;
end
for ii=1:length(grain_order)
fprintf(inpFile, '\n*Material, name=MATERIAL-GRAIN%d',grain_order(ii));
fprintf(inpFile, ['\n*Depvar\n', num2str(noDepvar), ',']);
fprintf(inpFile, ['\n*User Material, constants=',num2str(noPROPS),'\n']);
% Euler angles
A(1:3) = [euler_angle1(ii), euler_angle2(ii), euler_angle3(ii)];
% Grain - ID
A(4) = grain_order(ii);
% Phase - ID
% IF DEFINED BY THE USER (>0)
if matID>0
A(5) = material_order(ii);
% Use Dream3D output
else
A(5) = phase_order(ii);
end
% % Adding the centroid information in x,y,z coordinates
% A(9:11)=centroid(grain_order(ii),:);
% % center element
% %adding the calculated equivalent spherical diameter for each grain
% A(13)=diameter(grain_order(ii));
% Read the properties from the PROPS if desired
if A16(6) ==1
% Loop through all different phases
for iph = 1:numel(unique(phases))
% Column character (read next column for each phase)
letter = char(iph+ 64);
xlRange = [letter,'1:', letter, '300']; % A1-A300
%[B]=xlsread('inputfile_info.xlsx','Material_parameters',xlRange);
[B]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange);
A(7:300) = B(7:300);
end
end
% Printing this information to file
fprintf(inpFile, '%s, %s, %s, %s, %s, %s, %s, %s\n',A);
end
fprintf(inpFile,'\n**');
fprintf(inpFile, '\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.');
fprintf(inpFile, '\n**\n** OUTPUT REQUESTS\n**');
fprintf(inpFile, '\n*Restart, write, frequency=0\n**');
fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**');
if noDepvar>0
fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**');
end
fprintf(inpFile, '\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**');
fprintf(inpFile, '\n*End Step');
% close the file
fclose(inpFile);
toc
return
end
================================================
FILE: Neper2Abaqus/Step-2a Matlab/abq_hex.inp
================================================
** Generated by Neper and modified by: Neper2Abaqus.m
**PARTS
**
*Part, name=NEPER
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 7.142857e-02, 0.000000e+00, 0.000000e+00
3, 1.428571e-01, 0.000000e+00, 0.000000e+00
4, 2.142857e-01, 0.000000e+00, 0.000000e+00
5, 2.857143e-01, 0.000000e+00, 0.000000e+00
6, 3.571429e-01, 0.000000e+00, 0.000000e+00
7, 4.285714e-01, 0.000000e+00, 0.000000e+00
8, 5.000000e-01, 0.000000e+00, 0.000000e+00
9, 5.714286e-01, 0.000000e+00, 0.000000e+00
10, 6.428571e-01, 0.000000e+00, 0.000000e+00
11, 7.142857e-01, 0.000000e+00, 0.000000e+00
12, 7.857143e-01, 0.000000e+00, 0.000000e+00
13, 8.571429e-01, 0.000000e+00, 0.000000e+00
14, 9.285714e-01, 0.000000e+00, 0.000000e+00
15, 1.000000e+00, 0.000000e+00, 0.000000e+00
16, 0.000000e+00, 7.142857e-02, 0.000000e+00
17, 7.142857e-02, 7.142857e-02, 0.000000e+00
18, 1.428571e-01, 7.142857e-02, 0.000000e+00
19, 2.142857e-01, 7.142857e-02, 0.000000e+00
20, 2.857143e-01, 7.142857e-02, 0.000000e+00
21, 3.571429e-01, 7.142857e-02, 0.000000e+00
22, 4.285714e-01, 7.142857e-02, 0.000000e+00
23, 5.000000e-01, 7.142857e-02, 0.000000e+00
24, 5.714286e-01, 7.142857e-02, 0.000000e+00
25, 6.428571e-01, 7.142857e-02, 0.000000e+00
26, 7.142857e-01, 7.142857e-02, 0.000000e+00
27, 7.857143e-01, 7.142857e-02, 0.000000e+00
28, 8.571429e-01, 7.142857e-02, 0.000000e+00
29, 9.285714e-01, 7.142857e-02, 0.000000e+00
30, 1.000000e+00, 7.142857e-02, 0.000000e+00
31, 0.000000e+00, 1.428571e-01, 0.000000e+00
32, 7.142857e-02, 1.428571e-01, 0.000000e+00
33, 1.428571e-01, 1.428571e-01, 0.000000e+00
34, 2.142857e-01, 1.428571e-01, 0.000000e+00
35, 2.857143e-01, 1.428571e-01, 0.000000e+00
36, 3.571429e-01, 1.428571e-01, 0.000000e+00
37, 4.285714e-01, 1.428571e-01, 0.000000e+00
38, 5.000000e-01, 1.428571e-01, 0.000000e+00
39, 5.714286e-01, 1.428571e-01, 0.000000e+00
40, 6.428571e-01, 1.428571e-01, 0.000000e+00
41, 7.142857e-01, 1.428571e-01, 0.000000e+00
42, 7.857143e-01, 1.428571e-01, 0.000000e+00
43, 8.571429e-01, 1.428571e-01, 0.000000e+00
44, 9.285714e-01, 1.428571e-01, 0.000000e+00
45, 1.000000e+00, 1.428571e-01, 0.000000e+00
46, 0.000000e+00, 2.142857e-01, 0.000000e+00
47, 7.142857e-02, 2.142857e-01, 0.000000e+00
48, 1.428571e-01, 2.142857e-01, 0.000000e+00
49, 2.142857e-01, 2.142857e-01, 0.000000e+00
50, 2.857143e-01, 2.142857e-01, 0.000000e+00
51, 3.571429e-01, 2.142857e-01, 0.000000e+00
52, 4.285714e-01, 2.142857e-01, 0.000000e+00
53, 5.000000e-01, 2.142857e-01, 0.000000e+00
54, 5.714286e-01, 2.142857e-01, 0.000000e+00
55, 6.428571e-01, 2.142857e-01, 0.000000e+00
56, 7.142857e-01, 2.142857e-01, 0.000000e+00
57, 7.857143e-01, 2.142857e-01, 0.000000e+00
58, 8.571429e-01, 2.142857e-01, 0.000000e+00
59, 9.285714e-01, 2.142857e-01, 0.000000e+00
60, 1.000000e+00, 2.142857e-01, 0.000000e+00
61, 0.000000e+00, 2.857143e-01, 0.000000e+00
62, 7.142857e-02, 2.857143e-01, 0.000000e+00
63, 1.428571e-01, 2.857143e-01, 0.000000e+00
64, 2.142857e-01, 2.857143e-01, 0.000000e+00
65, 2.857143e-01, 2.857143e-01, 0.000000e+00
66, 3.571429e-01, 2.857143e-01, 0.000000e+00
67, 4.285714e-01, 2.857143e-01, 0.000000e+00
68, 5.000000e-01, 2.857143e-01, 0.000000e+00
69, 5.714286e-01, 2.857143e-01, 0.000000e+00
70, 6.428571e-01, 2.857143e-01, 0.000000e+00
71, 7.142857e-01, 2.857143e-01, 0.000000e+00
72, 7.857143e-01, 2.857143e-01, 0.000000e+00
73, 8.571429e-01, 2.857143e-01, 0.000000e+00
74, 9.285714e-01, 2.857143e-01, 0.000000e+00
75, 1.000000e+00, 2.857143e-01, 0.000000e+00
76, 0.000000e+00, 3.571429e-01, 0.000000e+00
77, 7.142857e-02, 3.571429e-01, 0.000000e+00
78, 1.428571e-01, 3.571429e-01, 0.000000e+00
79, 2.142857e-01, 3.571429e-01, 0.000000e+00
80, 2.857143e-01, 3.571429e-01, 0.000000e+00
81, 3.571429e-01, 3.571429e-01, 0.000000e+00
82, 4.285714e-01, 3.571429e-01, 0.000000e+00
83, 5.000000e-01, 3.571429e-01, 0.000000e+00
84, 5.714286e-01, 3.571429e-01, 0.000000e+00
85, 6.428571e-01, 3.571429e-01, 0.000000e+00
86, 7.142857e-01, 3.571429e-01, 0.000000e+00
87, 7.857143e-01, 3.571429e-01, 0.000000e+00
88, 8.571429e-01, 3.571429e-01, 0.000000e+00
89, 9.285714e-01, 3.571429e-01, 0.000000e+00
90, 1.000000e+00, 3.571429e-01, 0.000000e+00
91, 0.000000e+00, 4.285714e-01, 0.000000e+00
92, 7.142857e-02, 4.285714e-01, 0.000000e+00
93, 1.428571e-01, 4.285714e-01, 0.000000e+00
94, 2.142857e-01, 4.285714e-01, 0.000000e+00
95, 2.857143e-01, 4.285714e-01, 0.000000e+00
96, 3.571429e-01, 4.285714e-01, 0.000000e+00
97, 4.285714e-01, 4.285714e-01, 0.000000e+00
98, 5.000000e-01, 4.285714e-01, 0.000000e+00
99, 5.714286e-01, 4.285714e-01, 0.000000e+00
100, 6.428571e-01, 4.285714e-01, 0.000000e+00
101, 7.142857e-01, 4.285714e-01, 0.000000e+00
102, 7.857143e-01, 4.285714e-01, 0.000000e+00
103, 8.571429e-01, 4.285714e-01, 0.000000e+00
104, 9.285714e-01, 4.285714e-01, 0.000000e+00
105, 1.000000e+00, 4.285714e-01, 0.000000e+00
106, 0.000000e+00, 5.000000e-01, 0.000000e+00
107, 7.142857e-02, 5.000000e-01, 0.000000e+00
108, 1.428571e-01, 5.000000e-01, 0.000000e+00
109, 2.142857e-01, 5.000000e-01, 0.000000e+00
110, 2.857143e-01, 5.000000e-01, 0.000000e+00
111, 3.571429e-01, 5.000000e-01, 0.000000e+00
112, 4.285714e-01, 5.000000e-01, 0.000000e+00
113, 5.000000e-01, 5.000000e-01, 0.000000e+00
114, 5.714286e-01, 5.000000e-01, 0.000000e+00
115, 6.428571e-01, 5.000000e-01, 0.000000e+00
116, 7.142857e-01, 5.000000e-01, 0.000000e+00
117, 7.857143e-01, 5.000000e-01, 0.000000e+00
118, 8.571429e-01, 5.000000e-01, 0.000000e+00
119, 9.285714e-01, 5.000000e-01, 0.000000e+00
120, 1.000000e+00, 5.000000e-01, 0.000000e+00
121, 0.000000e+00, 5.714286e-01, 0.000000e+00
122, 7.142857e-02, 5.714286e-01, 0.000000e+00
123, 1.428571e-01, 5.714286e-01, 0.000000e+00
124, 2.142857e-01, 5.714286e-01, 0.000000e+00
125, 2.857143e-01, 5.714286e-01, 0.000000e+00
126, 3.571429e-01, 5.714286e-01, 0.000000e+00
127, 4.285714e-01, 5.714286e-01, 0.000000e+00
128, 5.000000e-01, 5.714286e-01, 0.000000e+00
129, 5.714286e-01, 5.714286e-01, 0.000000e+00
130, 6.428571e-01, 5.714286e-01, 0.000000e+00
131, 7.142857e-01, 5.714286e-01, 0.000000e+00
132, 7.857143e-01, 5.714286e-01, 0.000000e+00
133, 8.571429e-01, 5.714286e-01, 0.000000e+00
134, 9.285714e-01, 5.714286e-01, 0.000000e+00
135, 1.000000e+00, 5.714286e-01, 0.000000e+00
136, 0.000000e+00, 6.428571e-01, 0.000000e+00
137, 7.142857e-02, 6.428571e-01, 0.000000e+00
138, 1.428571e-01, 6.428571e-01, 0.000000e+00
139, 2.142857e-01, 6.428571e-01, 0.000000e+00
140, 2.857143e-01, 6.428571e-01, 0.000000e+00
141, 3.571429e-01, 6.428571e-01, 0.000000e+00
142, 4.285714e-01, 6.428571e-01, 0.000000e+00
143, 5.000000e-01, 6.428571e-01, 0.000000e+00
144, 5.714286e-01, 6.428571e-01, 0.000000e+00
145, 6.428571e-01, 6.428571e-01, 0.000000e+00
146, 7.142857e-01, 6.428571e-01, 0.000000e+00
147, 7.857143e-01, 6.428571e-01, 0.000000e+00
148, 8.571429e-01, 6.428571e-01, 0.000000e+00
149, 9.285714e-01, 6.428571e-01, 0.000000e+00
150, 1.000000e+00, 6.428571e-01, 0.000000e+00
151, 0.000000e+00, 7.142857e-01, 0.000000e+00
152, 7.142857e-02, 7.142857e-01, 0.000000e+00
153, 1.428571e-01, 7.142857e-01, 0.000000e+00
154, 2.142857e-01, 7.142857e-01, 0.000000e+00
155, 2.857143e-01, 7.142857e-01, 0.000000e+00
156, 3.571429e-01, 7.142857e-01, 0.000000e+00
157, 4.285714e-01, 7.142857e-01, 0.000000e+00
158, 5.000000e-01, 7.142857e-01, 0.000000e+00
159, 5.714286e-01, 7.142857e-01, 0.000000e+00
160, 6.428571e-01, 7.142857e-01, 0.000000e+00
161, 7.142857e-01, 7.142857e-01, 0.000000e+00
162, 7.857143e-01, 7.142857e-01, 0.000000e+00
163, 8.571429e-01, 7.142857e-01, 0.000000e+00
164, 9.285714e-01, 7.142857e-01, 0.000000e+00
165, 1.000000e+00, 7.142857e-01, 0.000000e+00
166, 0.000000e+00, 7.857143e-01, 0.000000e+00
167, 7.142857e-02, 7.857143e-01, 0.000000e+00
168, 1.428571e-01, 7.857143e-01, 0.000000e+00
169, 2.142857e-01, 7.857143e-01, 0.000000e+00
170, 2.857143e-01, 7.857143e-01, 0.000000e+00
171, 3.571429e-01, 7.857143e-01, 0.000000e+00
172, 4.285714e-01, 7.857143e-01, 0.000000e+00
173, 5.000000e-01, 7.857143e-01, 0.000000e+00
174, 5.714286e-01, 7.857143e-01, 0.000000e+00
175, 6.428571e-01, 7.857143e-01, 0.000000e+00
176, 7.142857e-01, 7.857143e-01, 0.000000e+00
177, 7.857143e-01, 7.857143e-01, 0.000000e+00
178, 8.571429e-01, 7.857143e-01, 0.000000e+00
179, 9.285714e-01, 7.857143e-01, 0.000000e+00
180, 1.000000e+00, 7.857143e-01, 0.000000e+00
181, 0.000000e+00, 8.571429e-01, 0.000000e+00
182, 7.142857e-02, 8.571429e-01, 0.000000e+00
183, 1.428571e-01, 8.571429e-01, 0.000000e+00
184, 2.142857e-01, 8.571429e-01, 0.000000e+00
185, 2.857143e-01, 8.571429e-01, 0.000000e+00
186, 3.571429e-01, 8.571429e-01, 0.000000e+00
187, 4.285714e-01, 8.571429e-01, 0.000000e+00
188, 5.000000e-01, 8.571429e-01, 0.000000e+00
189, 5.714286e-01, 8.571429e-01, 0.000000e+00
190, 6.428571e-01, 8.571429e-01, 0.000000e+00
191, 7.142857e-01, 8.571429e-01, 0.000000e+00
192, 7.857143e-01, 8.571429e-01, 0.000000e+00
193, 8.571429e-01, 8.571429e-01, 0.000000e+00
194, 9.285714e-01, 8.571429e-01, 0.000000e+00
195, 1.000000e+00, 8.571429e-01, 0.000000e+00
196, 0.000000e+00, 9.285714e-01, 0.000000e+00
197, 7.142857e-02, 9.285714e-01, 0.000000e+00
198, 1.428571e-01, 9.285714e-01, 0.000000e+00
199, 2.142857e-01, 9.285714e-01, 0.000000e+00
200, 2.857143e-01, 9.285714e-01, 0.000000e+00
201, 3.571429e-01, 9.285714e-01, 0.000000e+00
202, 4.285714e-01, 9.285714e-01, 0.000000e+00
203, 5.000000e-01, 9.285714e-01, 0.000000e+00
204, 5.714286e-01, 9.285714e-01, 0.000000e+00
205, 6.428571e-01, 9.285714e-01, 0.000000e+00
206, 7.142857e-01, 9.285714e-01, 0.000000e+00
207, 7.857143e-01, 9.285714e-01, 0.000000e+00
208, 8.571429e-01, 9.285714e-01, 0.000000e+00
209, 9.285714e-01, 9.285714e-01, 0.000000e+00
210, 1.000000e+00, 9.285714e-01, 0.000000e+00
211, 0.000000e+00, 1.000000e+00, 0.000000e+00
212, 7.142857e-02, 1.000000e+00, 0.000000e+00
213, 1.428571e-01, 1.000000e+00, 0.000000e+00
214, 2.142857e-01, 1.000000e+00, 0.000000e+00
215, 2.857143e-01, 1.000000e+00, 0.000000e+00
216, 3.571429e-01, 1.000000e+00, 0.000000e+00
217, 4.285714e-01, 1.000000e+00, 0.000000e+00
218, 5.000000e-01, 1.000000e+00, 0.000000e+00
219, 5.714286e-01, 1.000000e+00, 0.000000e+00
220, 6.428571e-01, 1.000000e+00, 0.000000e+00
221, 7.142857e-01, 1.000000e+00, 0.000000e+00
222, 7.857143e-01, 1.000000e+00, 0.000000e+00
223, 8.571429e-01, 1.000000e+00, 0.000000e+00
224, 9.285714e-01, 1.000000e+00, 0.000000e+00
225, 1.000000e+00, 1.000000e+00, 0.000000e+00
226, 0.000000e+00, 0.000000e+00, 7.142857e-02
227, 7.142857e-02, 0.000000e+00, 7.142857e-02
228, 1.428571e-01, 0.000000e+00, 7.142857e-02
229, 2.142857e-01, 0.000000e+00, 7.142857e-02
230, 2.857143e-01, 0.000000e+00, 7.142857e-02
231, 3.571429e-01, 0.000000e+00, 7.142857e-02
232, 4.285714e-01, 0.000000e+00, 7.142857e-02
233, 5.000000e-01, 0.000000e+00, 7.142857e-02
234, 5.714286e-01, 0.000000e+00, 7.142857e-02
235, 6.428571e-01, 0.000000e+00, 7.142857e-02
236, 7.142857e-01, 0.000000e+00, 7.142857e-02
237, 7.857143e-01, 0.000000e+00, 7.142857e-02
238, 8.571429e-01, 0.000000e+00, 7.142857e-02
239, 9.285714e-01, 0.000000e+00, 7.142857e-02
240, 1.000000e+00, 0.000000e+00, 7.142857e-02
241, 0.000000e+00, 7.142857e-02, 7.142857e-02
242, 7.142857e-02, 7.142857e-02, 7.142857e-02
243, 1.428571e-01, 7.142857e-02, 7.142857e-02
244, 2.142857e-01, 7.142857e-02, 7.142857e-02
245, 2.857143e-01, 7.142857e-02, 7.142857e-02
246, 3.571429e-01, 7.142857e-02, 7.142857e-02
247, 4.285714e-01, 7.142857e-02, 7.142857e-02
248, 5.000000e-01, 7.142857e-02, 7.142857e-02
249, 5.714286e-01, 7.142857e-02, 7.142857e-02
250, 6.428571e-01, 7.142857e-02, 7.142857e-02
251, 7.142857e-01, 7.142857e-02, 7.142857e-02
252, 7.857143e-01, 7.142857e-02, 7.142857e-02
253, 8.571429e-01, 7.142857e-02, 7.142857e-02
254, 9.285714e-01, 7.142857e-02, 7.142857e-02
255, 1.000000e+00, 7.142857e-02, 7.142857e-02
256, 0.000000e+00, 1.428571e-01, 7.142857e-02
257, 7.142857e-02, 1.428571e-01, 7.142857e-02
258, 1.428571e-01, 1.428571e-01, 7.142857e-02
259, 2.142857e-01, 1.428571e-01, 7.142857e-02
260, 2.857143e-01, 1.428571e-01, 7.142857e-02
261, 3.571429e-01, 1.428571e-01, 7.142857e-02
262, 4.285714e-01, 1.428571e-01, 7.142857e-02
263, 5.000000e-01, 1.428571e-01, 7.142857e-02
264, 5.714286e-01, 1.428571e-01, 7.142857e-02
265, 6.428571e-01, 1.428571e-01, 7.142857e-02
266, 7.142857e-01, 1.428571e-01, 7.142857e-02
267, 7.857143e-01, 1.428571e-01, 7.142857e-02
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681, 3.571429e-01, 0.000000e+00, 2.142857e-01
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683, 5.000000e-01, 0.000000e+00, 2.142857e-01
684, 5.714286e-01, 0.000000e+00, 2.142857e-01
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743, 5.000000e-01, 2.857143e-01, 2.142857e-01
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780, 1.000000e+00, 4.285714e-01, 2.142857e-01
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782, 7.142857e-02, 5.000000e-01, 2.142857e-01
783, 1.428571e-01, 5.000000e-01, 2.142857e-01
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788, 5.000000e-01, 5.000000e-01, 2.142857e-01
789, 5.714286e-01, 5.000000e-01, 2.142857e-01
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793, 8.571429e-01, 5.000000e-01, 2.142857e-01
794, 9.285714e-01, 5.000000e-01, 2.142857e-01
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811, 0.000000e+00, 6.428571e-01, 2.142857e-01
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813, 1.428571e-01, 6.428571e-01, 2.142857e-01
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815, 2.857143e-01, 6.428571e-01, 2.142857e-01
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817, 4.285714e-01, 6.428571e-01, 2.142857e-01
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833, 5.000000e-01, 7.142857e-01, 2.142857e-01
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838, 8.571429e-01, 7.142857e-01, 2.142857e-01
839, 9.285714e-01, 7.142857e-01, 2.142857e-01
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841, 0.000000e+00, 7.857143e-01, 2.142857e-01
842, 7.142857e-02, 7.857143e-01, 2.142857e-01
843, 1.428571e-01, 7.857143e-01, 2.142857e-01
844, 2.142857e-01, 7.857143e-01, 2.142857e-01
845, 2.857143e-01, 7.857143e-01, 2.142857e-01
846, 3.571429e-01, 7.857143e-01, 2.142857e-01
847, 4.285714e-01, 7.857143e-01, 2.142857e-01
848, 5.000000e-01, 7.857143e-01, 2.142857e-01
849, 5.714286e-01, 7.857143e-01, 2.142857e-01
850, 6.428571e-01, 7.857143e-01, 2.142857e-01
851, 7.142857e-01, 7.857143e-01, 2.142857e-01
852, 7.857143e-01, 7.857143e-01, 2.142857e-01
853, 8.571429e-01, 7.857143e-01, 2.142857e-01
854, 9.285714e-01, 7.857143e-01, 2.142857e-01
855, 1.000000e+00, 7.857143e-01, 2.142857e-01
856, 0.000000e+00, 8.571429e-01, 2.142857e-01
857, 7.142857e-02, 8.571429e-01, 2.142857e-01
858, 1.428571e-01, 8.571429e-01, 2.142857e-01
859, 2.142857e-01, 8.571429e-01, 2.142857e-01
860, 2.857143e-01, 8.571429e-01, 2.142857e-01
861, 3.571429e-01, 8.571429e-01, 2.142857e-01
862, 4.285714e-01, 8.571429e-01, 2.142857e-01
863, 5.000000e-01, 8.571429e-01, 2.142857e-01
864, 5.714286e-01, 8.571429e-01, 2.142857e-01
865, 6.428571e-01, 8.571429e-01, 2.142857e-01
866, 7.142857e-01, 8.571429e-01, 2.142857e-01
867, 7.857143e-01, 8.571429e-01, 2.142857e-01
868, 8.571429e-01, 8.571429e-01, 2.142857e-01
869, 9.285714e-01, 8.571429e-01, 2.142857e-01
870, 1.000000e+00, 8.571429e-01, 2.142857e-01
871, 0.000000e+00, 9.285714e-01, 2.142857e-01
872, 7.142857e-02, 9.285714e-01, 2.142857e-01
873, 1.428571e-01, 9.285714e-01, 2.142857e-01
874, 2.142857e-01, 9.285714e-01, 2.142857e-01
875, 2.857143e-01, 9.285714e-01, 2.142857e-01
876, 3.571429e-01, 9.285714e-01, 2.142857e-01
877, 4.285714e-01, 9.285714e-01, 2.142857e-01
878, 5.000000e-01, 9.285714e-01, 2.142857e-01
879, 5.714286e-01, 9.285714e-01, 2.142857e-01
880, 6.428571e-01, 9.285714e-01, 2.142857e-01
881, 7.142857e-01, 9.285714e-01, 2.142857e-01
882, 7.857143e-01, 9.285714e-01, 2.142857e-01
883, 8.571429e-01, 9.285714e-01, 2.142857e-01
884, 9.285714e-01, 9.285714e-01, 2.142857e-01
885, 1.000000e+00, 9.285714e-01, 2.142857e-01
886, 0.000000e+00, 1.000000e+00, 2.142857e-01
887, 7.142857e-02, 1.000000e+00, 2.142857e-01
888, 1.428571e-01, 1.000000e+00, 2.142857e-01
889, 2.142857e-01, 1.000000e+00, 2.142857e-01
890, 2.857143e-01, 1.000000e+00, 2.142857e-01
891, 3.571429e-01, 1.000000e+00, 2.142857e-01
892, 4.285714e-01, 1.000000e+00, 2.142857e-01
893, 5.000000e-01, 1.000000e+00, 2.142857e-01
894, 5.714286e-01, 1.000000e+00, 2.142857e-01
895, 6.428571e-01, 1.000000e+00, 2.142857e-01
896, 7.142857e-01, 1.000000e+00, 2.142857e-01
897, 7.857143e-01, 1.000000e+00, 2.142857e-01
898, 8.571429e-01, 1.000000e+00, 2.142857e-01
899, 9.285714e-01, 1.000000e+00, 2.142857e-01
900, 1.000000e+00, 1.000000e+00, 2.142857e-01
901, 0.000000e+00, 0.000000e+00, 2.857143e-01
902, 7.142857e-02, 0.000000e+00, 2.857143e-01
903, 1.428571e-01, 0.000000e+00, 2.857143e-01
904, 2.142857e-01, 0.000000e+00, 2.857143e-01
905, 2.857143e-01, 0.000000e+00, 2.857143e-01
906, 3.571429e-01, 0.000000e+00, 2.857143e-01
907, 4.285714e-01, 0.000000e+00, 2.857143e-01
908, 5.000000e-01, 0.000000e+00, 2.857143e-01
909, 5.714286e-01, 0.000000e+00, 2.857143e-01
910, 6.428571e-01, 0.000000e+00, 2.857143e-01
911, 7.142857e-01, 0.000000e+00, 2.857143e-01
912, 7.857143e-01, 0.000000e+00, 2.857143e-01
913, 8.571429e-01, 0.000000e+00, 2.857143e-01
914, 9.285714e-01, 0.000000e+00, 2.857143e-01
915, 1.000000e+00, 0.000000e+00, 2.857143e-01
916, 0.000000e+00, 7.142857e-02, 2.857143e-01
917, 7.142857e-02, 7.142857e-02, 2.857143e-01
918, 1.428571e-01, 7.142857e-02, 2.857143e-01
919, 2.142857e-01, 7.142857e-02, 2.857143e-01
920, 2.857143e-01, 7.142857e-02, 2.857143e-01
921, 3.571429e-01, 7.142857e-02, 2.857143e-01
922, 4.285714e-01, 7.142857e-02, 2.857143e-01
923, 5.000000e-01, 7.142857e-02, 2.857143e-01
924, 5.714286e-01, 7.142857e-02, 2.857143e-01
925, 6.428571e-01, 7.142857e-02, 2.857143e-01
926, 7.142857e-01, 7.142857e-02, 2.857143e-01
927, 7.857143e-01, 7.142857e-02, 2.857143e-01
928, 8.571429e-01, 7.142857e-02, 2.857143e-01
929, 9.285714e-01, 7.142857e-02, 2.857143e-01
930, 1.000000e+00, 7.142857e-02, 2.857143e-01
931, 0.000000e+00, 1.428571e-01, 2.857143e-01
932, 7.142857e-02, 1.428571e-01, 2.857143e-01
933, 1.428571e-01, 1.428571e-01, 2.857143e-01
934, 2.142857e-01, 1.428571e-01, 2.857143e-01
935, 2.857143e-01, 1.428571e-01, 2.857143e-01
936, 3.571429e-01, 1.428571e-01, 2.857143e-01
937, 4.285714e-01, 1.428571e-01, 2.857143e-01
938, 5.000000e-01, 1.428571e-01, 2.857143e-01
939, 5.714286e-01, 1.428571e-01, 2.857143e-01
940, 6.428571e-01, 1.428571e-01, 2.857143e-01
941, 7.142857e-01, 1.428571e-01, 2.857143e-01
942, 7.857143e-01, 1.428571e-01, 2.857143e-01
943, 8.571429e-01, 1.428571e-01, 2.857143e-01
944, 9.285714e-01, 1.428571e-01, 2.857143e-01
945, 1.000000e+00, 1.428571e-01, 2.857143e-01
946, 0.000000e+00, 2.142857e-01, 2.857143e-01
947, 7.142857e-02, 2.142857e-01, 2.857143e-01
948, 1.428571e-01, 2.142857e-01, 2.857143e-01
949, 2.142857e-01, 2.142857e-01, 2.857143e-01
950, 2.857143e-01, 2.142857e-01, 2.857143e-01
951, 3.571429e-01, 2.142857e-01, 2.857143e-01
952, 4.285714e-01, 2.142857e-01, 2.857143e-01
953, 5.000000e-01, 2.142857e-01, 2.857143e-01
954, 5.714286e-01, 2.142857e-01, 2.857143e-01
955, 6.428571e-01, 2.142857e-01, 2.857143e-01
956, 7.142857e-01, 2.142857e-01, 2.857143e-01
957, 7.857143e-01, 2.142857e-01, 2.857143e-01
958, 8.571429e-01, 2.142857e-01, 2.857143e-01
959, 9.285714e-01, 2.142857e-01, 2.857143e-01
960, 1.000000e+00, 2.142857e-01, 2.857143e-01
961, 0.000000e+00, 2.857143e-01, 2.857143e-01
962, 7.142857e-02, 2.857143e-01, 2.857143e-01
963, 1.428571e-01, 2.857143e-01, 2.857143e-01
964, 2.142857e-01, 2.857143e-01, 2.857143e-01
965, 2.857143e-01, 2.857143e-01, 2.857143e-01
966, 3.571429e-01, 2.857143e-01, 2.857143e-01
967, 4.285714e-01, 2.857143e-01, 2.857143e-01
968, 5.000000e-01, 2.857143e-01, 2.857143e-01
969, 5.714286e-01, 2.857143e-01, 2.857143e-01
970, 6.428571e-01, 2.857143e-01, 2.857143e-01
971, 7.142857e-01, 2.857143e-01, 2.857143e-01
972, 7.857143e-01, 2.857143e-01, 2.857143e-01
973, 8.571429e-01, 2.857143e-01, 2.857143e-01
974, 9.285714e-01, 2.857143e-01, 2.857143e-01
975, 1.000000e+00, 2.857143e-01, 2.857143e-01
976, 0.000000e+00, 3.571429e-01, 2.857143e-01
977, 7.142857e-02, 3.571429e-01, 2.857143e-01
978, 1.428571e-01, 3.571429e-01, 2.857143e-01
979, 2.142857e-01, 3.571429e-01, 2.857143e-01
980, 2.857143e-01, 3.571429e-01, 2.857143e-01
981, 3.571429e-01, 3.571429e-01, 2.857143e-01
982, 4.285714e-01, 3.571429e-01, 2.857143e-01
983, 5.000000e-01, 3.571429e-01, 2.857143e-01
984, 5.714286e-01, 3.571429e-01, 2.857143e-01
985, 6.428571e-01, 3.571429e-01, 2.857143e-01
986, 7.142857e-01, 3.571429e-01, 2.857143e-01
987, 7.857143e-01, 3.571429e-01, 2.857143e-01
988, 8.571429e-01, 3.571429e-01, 2.857143e-01
989, 9.285714e-01, 3.571429e-01, 2.857143e-01
990, 1.000000e+00, 3.571429e-01, 2.857143e-01
991, 0.000000e+00, 4.285714e-01, 2.857143e-01
992, 7.142857e-02, 4.285714e-01, 2.857143e-01
993, 1.428571e-01, 4.285714e-01, 2.857143e-01
994, 2.142857e-01, 4.285714e-01, 2.857143e-01
995, 2.857143e-01, 4.285714e-01, 2.857143e-01
996, 3.571429e-01, 4.285714e-01, 2.857143e-01
997, 4.285714e-01, 4.285714e-01, 2.857143e-01
998, 5.000000e-01, 4.285714e-01, 2.857143e-01
999, 5.714286e-01, 4.285714e-01, 2.857143e-01
1000, 6.428571e-01, 4.285714e-01, 2.857143e-01
1001, 7.142857e-01, 4.285714e-01, 2.857143e-01
1002, 7.857143e-01, 4.285714e-01, 2.857143e-01
1003, 8.571429e-01, 4.285714e-01, 2.857143e-01
1004, 9.285714e-01, 4.285714e-01, 2.857143e-01
1005, 1.000000e+00, 4.285714e-01, 2.857143e-01
1006, 0.000000e+00, 5.000000e-01, 2.857143e-01
1007, 7.142857e-02, 5.000000e-01, 2.857143e-01
1008, 1.428571e-01, 5.000000e-01, 2.857143e-01
1009, 2.142857e-01, 5.000000e-01, 2.857143e-01
1010, 2.857143e-01, 5.000000e-01, 2.857143e-01
1011, 3.571429e-01, 5.000000e-01, 2.857143e-01
1012, 4.285714e-01, 5.000000e-01, 2.857143e-01
1013, 5.000000e-01, 5.000000e-01, 2.857143e-01
1014, 5.714286e-01, 5.000000e-01, 2.857143e-01
1015, 6.428571e-01, 5.000000e-01, 2.857143e-01
1016, 7.142857e-01, 5.000000e-01, 2.857143e-01
1017, 7.857143e-01, 5.000000e-01, 2.857143e-01
1018, 8.571429e-01, 5.000000e-01, 2.857143e-01
1019, 9.285714e-01, 5.000000e-01, 2.857143e-01
1020, 1.000000e+00, 5.000000e-01, 2.857143e-01
1021, 0.000000e+00, 5.714286e-01, 2.857143e-01
1022, 7.142857e-02, 5.714286e-01, 2.857143e-01
1023, 1.428571e-01, 5.714286e-01, 2.857143e-01
1024, 2.142857e-01, 5.714286e-01, 2.857143e-01
1025, 2.857143e-01, 5.714286e-01, 2.857143e-01
1026, 3.571429e-01, 5.714286e-01, 2.857143e-01
1027, 4.285714e-01, 5.714286e-01, 2.857143e-01
1028, 5.000000e-01, 5.714286e-01, 2.857143e-01
1029, 5.714286e-01, 5.714286e-01, 2.857143e-01
1030, 6.428571e-01, 5.714286e-01, 2.857143e-01
1031, 7.142857e-01, 5.714286e-01, 2.857143e-01
1032, 7.857143e-01, 5.714286e-01, 2.857143e-01
1033, 8.571429e-01, 5.714286e-01, 2.857143e-01
1034, 9.285714e-01, 5.714286e-01, 2.857143e-01
1035, 1.000000e+00, 5.714286e-01, 2.857143e-01
1036, 0.000000e+00, 6.428571e-01, 2.857143e-01
1037, 7.142857e-02, 6.428571e-01, 2.857143e-01
1038, 1.428571e-01, 6.428571e-01, 2.857143e-01
1039, 2.142857e-01, 6.428571e-01, 2.857143e-01
1040, 2.857143e-01, 6.428571e-01, 2.857143e-01
1041, 3.571429e-01, 6.428571e-01, 2.857143e-01
1042, 4.285714e-01, 6.428571e-01, 2.857143e-01
1043, 5.000000e-01, 6.428571e-01, 2.857143e-01
1044, 5.714286e-01, 6.428571e-01, 2.857143e-01
1045, 6.428571e-01, 6.428571e-01, 2.857143e-01
1046, 7.142857e-01, 6.428571e-01, 2.857143e-01
1047, 7.857143e-01, 6.428571e-01, 2.857143e-01
1048, 8.571429e-01, 6.428571e-01, 2.857143e-01
1049, 9.285714e-01, 6.428571e-01, 2.857143e-01
1050, 1.000000e+00, 6.428571e-01, 2.857143e-01
1051, 0.000000e+00, 7.142857e-01, 2.857143e-01
1052, 7.142857e-02, 7.142857e-01, 2.857143e-01
1053, 1.428571e-01, 7.142857e-01, 2.857143e-01
1054, 2.142857e-01, 7.142857e-01, 2.857143e-01
1055, 2.857143e-01, 7.142857e-01, 2.857143e-01
1056, 3.571429e-01, 7.142857e-01, 2.857143e-01
1057, 4.285714e-01, 7.142857e-01, 2.857143e-01
1058, 5.000000e-01, 7.142857e-01, 2.857143e-01
1059, 5.714286e-01, 7.142857e-01, 2.857143e-01
1060, 6.428571e-01, 7.142857e-01, 2.857143e-01
1061, 7.142857e-01, 7.142857e-01, 2.857143e-01
1062, 7.857143e-01, 7.142857e-01, 2.857143e-01
1063, 8.571429e-01, 7.142857e-01, 2.857143e-01
1064, 9.285714e-01, 7.142857e-01, 2.857143e-01
1065, 1.000000e+00, 7.142857e-01, 2.857143e-01
1066, 0.000000e+00, 7.857143e-01, 2.857143e-01
1067, 7.142857e-02, 7.857143e-01, 2.857143e-01
1068, 1.428571e-01, 7.857143e-01, 2.857143e-01
1069, 2.142857e-01, 7.857143e-01, 2.857143e-01
1070, 2.857143e-01, 7.857143e-01, 2.857143e-01
1071, 3.571429e-01, 7.857143e-01, 2.857143e-01
1072, 4.285714e-01, 7.857143e-01, 2.857143e-01
1073, 5.000000e-01, 7.857143e-01, 2.857143e-01
1074, 5.714286e-01, 7.857143e-01, 2.857143e-01
1075, 6.428571e-01, 7.857143e-01, 2.857143e-01
1076, 7.142857e-01, 7.857143e-01, 2.857143e-01
1077, 7.857143e-01, 7.857143e-01, 2.857143e-01
1078, 8.571429e-01, 7.857143e-01, 2.857143e-01
1079, 9.285714e-01, 7.857143e-01, 2.857143e-01
1080, 1.000000e+00, 7.857143e-01, 2.857143e-01
1081, 0.000000e+00, 8.571429e-01, 2.857143e-01
1082, 7.142857e-02, 8.571429e-01, 2.857143e-01
1083, 1.428571e-01, 8.571429e-01, 2.857143e-01
1084, 2.142857e-01, 8.571429e-01, 2.857143e-01
1085, 2.857143e-01, 8.571429e-01, 2.857143e-01
1086, 3.571429e-01, 8.571429e-01, 2.857143e-01
1087, 4.285714e-01, 8.571429e-01, 2.857143e-01
1088, 5.000000e-01, 8.571429e-01, 2.857143e-01
1089, 5.714286e-01, 8.571429e-01, 2.857143e-01
1090, 6.428571e-01, 8.571429e-01, 2.857143e-01
1091, 7.142857e-01, 8.571429e-01, 2.857143e-01
1092, 7.857143e-01, 8.571429e-01, 2.857143e-01
1093, 8.571429e-01, 8.571429e-01, 2.857143e-01
1094, 9.285714e-01, 8.571429e-01, 2.857143e-01
1095, 1.000000e+00, 8.571429e-01, 2.857143e-01
1096, 0.000000e+00, 9.285714e-01, 2.857143e-01
1097, 7.142857e-02, 9.285714e-01, 2.857143e-01
1098, 1.428571e-01, 9.285714e-01, 2.857143e-01
1099, 2.142857e-01, 9.285714e-01, 2.857143e-01
1100, 2.857143e-01, 9.285714e-01, 2.857143e-01
1101, 3.571429e-01, 9.285714e-01, 2.857143e-01
1102, 4.285714e-01, 9.285714e-01, 2.857143e-01
1103, 5.000000e-01, 9.285714e-01, 2.857143e-01
1104, 5.714286e-01, 9.285714e-01, 2.857143e-01
1105, 6.428571e-01, 9.285714e-01, 2.857143e-01
1106, 7.142857e-01, 9.285714e-01, 2.857143e-01
1107, 7.857143e-01, 9.285714e-01, 2.857143e-01
1108, 8.571429e-01, 9.285714e-01, 2.857143e-01
1109, 9.285714e-01, 9.285714e-01, 2.857143e-01
1110, 1.000000e+00, 9.285714e-01, 2.857143e-01
1111, 0.000000e+00, 1.000000e+00, 2.857143e-01
1112, 7.142857e-02, 1.000000e+00, 2.857143e-01
1113, 1.428571e-01, 1.000000e+00, 2.857143e-01
1114, 2.142857e-01, 1.000000e+00, 2.857143e-01
1115, 2.857143e-01, 1.000000e+00, 2.857143e-01
1116, 3.571429e-01, 1.000000e+00, 2.857143e-01
1117, 4.285714e-01, 1.000000e+00, 2.857143e-01
1118, 5.000000e-01, 1.000000e+00, 2.857143e-01
1119, 5.714286e-01, 1.000000e+00, 2.857143e-01
1120, 6.428571e-01, 1.000000e+00, 2.857143e-01
1121, 7.142857e-01, 1.000000e+00, 2.857143e-01
1122, 7.857143e-01, 1.000000e+00, 2.857143e-01
1123, 8.571429e-01, 1.000000e+00, 2.857143e-01
1124, 9.285714e-01, 1.000000e+00, 2.857143e-01
1125, 1.000000e+00, 1.000000e+00, 2.857143e-01
1126, 0.000000e+00, 0.000000e+00, 3.571429e-01
1127, 7.142857e-02, 0.000000e+00, 3.571429e-01
1128, 1.428571e-01, 0.000000e+00, 3.571429e-01
1129, 2.142857e-01, 0.000000e+00, 3.571429e-01
1130, 2.857143e-01, 0.000000e+00, 3.571429e-01
1131, 3.571429e-01, 0.000000e+00, 3.571429e-01
1132, 4.285714e-01, 0.000000e+00, 3.571429e-01
1133, 5.000000e-01, 0.000000e+00, 3.571429e-01
1134, 5.714286e-01, 0.000000e+00, 3.571429e-01
1135, 6.428571e-01, 0.000000e+00, 3.571429e-01
1136, 7.142857e-01, 0.000000e+00, 3.571429e-01
1137, 7.857143e-01, 0.000000e+00, 3.571429e-01
1138, 8.571429e-01, 0.000000e+00, 3.571429e-01
1139, 9.285714e-01, 0.000000e+00, 3.571429e-01
1140, 1.000000e+00, 0.000000e+00, 3.571429e-01
1141, 0.000000e+00, 7.142857e-02, 3.571429e-01
1142, 7.142857e-02, 7.142857e-02, 3.571429e-01
1143, 1.428571e-01, 7.142857e-02, 3.571429e-01
1144, 2.142857e-01, 7.142857e-02, 3.571429e-01
1145, 2.857143e-01, 7.142857e-02, 3.571429e-01
1146, 3.571429e-01, 7.142857e-02, 3.571429e-01
1147, 4.285714e-01, 7.142857e-02, 3.571429e-01
1148, 5.000000e-01, 7.142857e-02, 3.571429e-01
1149, 5.714286e-01, 7.142857e-02, 3.571429e-01
1150, 6.428571e-01, 7.142857e-02, 3.571429e-01
1151, 7.142857e-01, 7.142857e-02, 3.571429e-01
1152, 7.857143e-01, 7.142857e-02, 3.571429e-01
1153, 8.571429e-01, 7.142857e-02, 3.571429e-01
1154, 9.285714e-01, 7.142857e-02, 3.571429e-01
1155, 1.000000e+00, 7.142857e-02, 3.571429e-01
1156, 0.000000e+00, 1.428571e-01, 3.571429e-01
1157, 7.142857e-02, 1.428571e-01, 3.571429e-01
1158, 1.428571e-01, 1.428571e-01, 3.571429e-01
1159, 2.142857e-01, 1.428571e-01, 3.571429e-01
1160, 2.857143e-01, 1.428571e-01, 3.571429e-01
1161, 3.571429e-01, 1.428571e-01, 3.571429e-01
1162, 4.285714e-01, 1.428571e-01, 3.571429e-01
1163, 5.000000e-01, 1.428571e-01, 3.571429e-01
1164, 5.714286e-01, 1.428571e-01, 3.571429e-01
1165, 6.428571e-01, 1.428571e-01, 3.571429e-01
1166, 7.142857e-01, 1.428571e-01, 3.571429e-01
1167, 7.857143e-01, 1.428571e-01, 3.571429e-01
1168, 8.571429e-01, 1.428571e-01, 3.571429e-01
1169, 9.285714e-01, 1.428571e-01, 3.571429e-01
1170, 1.000000e+00, 1.428571e-01, 3.571429e-01
1171, 0.000000e+00, 2.142857e-01, 3.571429e-01
1172, 7.142857e-02, 2.142857e-01, 3.571429e-01
1173, 1.428571e-01, 2.142857e-01, 3.571429e-01
1174, 2.142857e-01, 2.142857e-01, 3.571429e-01
1175, 2.857143e-01, 2.142857e-01, 3.571429e-01
1176, 3.571429e-01, 2.142857e-01, 3.571429e-01
1177, 4.285714e-01, 2.142857e-01, 3.571429e-01
1178, 5.000000e-01, 2.142857e-01, 3.571429e-01
1179, 5.714286e-01, 2.142857e-01, 3.571429e-01
1180, 6.428571e-01, 2.142857e-01, 3.571429e-01
1181, 7.142857e-01, 2.142857e-01, 3.571429e-01
1182, 7.857143e-01, 2.142857e-01, 3.571429e-01
1183, 8.571429e-01, 2.142857e-01, 3.571429e-01
1184, 9.285714e-01, 2.142857e-01, 3.571429e-01
1185, 1.000000e+00, 2.142857e-01, 3.571429e-01
1186, 0.000000e+00, 2.857143e-01, 3.571429e-01
1187, 7.142857e-02, 2.857143e-01, 3.571429e-01
1188, 1.428571e-01, 2.857143e-01, 3.571429e-01
1189, 2.142857e-01, 2.857143e-01, 3.571429e-01
1190, 2.857143e-01, 2.857143e-01, 3.571429e-01
1191, 3.571429e-01, 2.857143e-01, 3.571429e-01
1192, 4.285714e-01, 2.857143e-01, 3.571429e-01
1193, 5.000000e-01, 2.857143e-01, 3.571429e-01
1194, 5.714286e-01, 2.857143e-01, 3.571429e-01
1195, 6.428571e-01, 2.857143e-01, 3.571429e-01
1196, 7.142857e-01, 2.857143e-01, 3.571429e-01
1197, 7.857143e-01, 2.857143e-01, 3.571429e-01
1198, 8.571429e-01, 2.857143e-01, 3.571429e-01
1199, 9.285714e-01, 2.857143e-01, 3.571429e-01
1200, 1.000000e+00, 2.857143e-01, 3.571429e-01
1201, 0.000000e+00, 3.571429e-01, 3.571429e-01
1202, 7.142857e-02, 3.571429e-01, 3.571429e-01
1203, 1.428571e-01, 3.571429e-01, 3.571429e-01
1204, 2.142857e-01, 3.571429e-01, 3.571429e-01
1205, 2.857143e-01, 3.571429e-01, 3.571429e-01
1206, 3.571429e-01, 3.571429e-01, 3.571429e-01
1207, 4.285714e-01, 3.571429e-01, 3.571429e-01
1208, 5.000000e-01, 3.571429e-01, 3.571429e-01
1209, 5.714286e-01, 3.571429e-01, 3.571429e-01
1210, 6.428571e-01, 3.571429e-01, 3.571429e-01
1211, 7.142857e-01, 3.571429e-01, 3.571429e-01
1212, 7.857143e-01, 3.571429e-01, 3.571429e-01
1213, 8.571429e-01, 3.571429e-01, 3.571429e-01
1214, 9.285714e-01, 3.571429e-01, 3.571429e-01
1215, 1.000000e+00, 3.571429e-01, 3.571429e-01
1216, 0.000000e+00, 4.285714e-01, 3.571429e-01
1217, 7.142857e-02, 4.285714e-01, 3.571429e-01
1218, 1.428571e-01, 4.285714e-01, 3.571429e-01
1219, 2.142857e-01, 4.285714e-01, 3.571429e-01
1220, 2.857143e-01, 4.285714e-01, 3.571429e-01
1221, 3.571429e-01, 4.285714e-01, 3.571429e-01
1222, 4.285714e-01, 4.285714e-01, 3.571429e-01
1223, 5.000000e-01, 4.285714e-01, 3.571429e-01
1224, 5.714286e-01, 4.285714e-01, 3.571429e-01
1225, 6.428571e-01, 4.285714e-01, 3.571429e-01
1226, 7.142857e-01, 4.285714e-01, 3.571429e-01
1227, 7.857143e-01, 4.285714e-01, 3.571429e-01
1228, 8.571429e-01, 4.285714e-01, 3.571429e-01
1229, 9.285714e-01, 4.285714e-01, 3.571429e-01
1230, 1.000000e+00, 4.285714e-01, 3.571429e-01
1231, 0.000000e+00, 5.000000e-01, 3.571429e-01
1232, 7.142857e-02, 5.000000e-01, 3.571429e-01
1233, 1.428571e-01, 5.000000e-01, 3.571429e-01
1234, 2.142857e-01, 5.000000e-01, 3.571429e-01
1235, 2.857143e-01, 5.000000e-01, 3.571429e-01
1236, 3.571429e-01, 5.000000e-01, 3.571429e-01
1237, 4.285714e-01, 5.000000e-01, 3.571429e-01
1238, 5.000000e-01, 5.000000e-01, 3.571429e-01
1239, 5.714286e-01, 5.000000e-01, 3.571429e-01
1240, 6.428571e-01, 5.000000e-01, 3.571429e-01
1241, 7.142857e-01, 5.000000e-01, 3.571429e-01
1242, 7.857143e-01, 5.000000e-01, 3.571429e-01
1243, 8.571429e-01, 5.000000e-01, 3.571429e-01
1244, 9.285714e-01, 5.000000e-01, 3.571429e-01
1245, 1.000000e+00, 5.000000e-01, 3.571429e-01
1246, 0.000000e+00, 5.714286e-01, 3.571429e-01
1247, 7.142857e-02, 5.714286e-01, 3.571429e-01
1248, 1.428571e-01, 5.714286e-01, 3.571429e-01
1249, 2.142857e-01, 5.714286e-01, 3.571429e-01
1250, 2.857143e-01, 5.714286e-01, 3.571429e-01
1251, 3.571429e-01, 5.714286e-01, 3.571429e-01
1252, 4.285714e-01, 5.714286e-01, 3.571429e-01
1253, 5.000000e-01, 5.714286e-01, 3.571429e-01
1254, 5.714286e-01, 5.714286e-01, 3.571429e-01
1255, 6.428571e-01, 5.714286e-01, 3.571429e-01
1256, 7.142857e-01, 5.714286e-01, 3.571429e-01
1257, 7.857143e-01, 5.714286e-01, 3.571429e-01
1258, 8.571429e-01, 5.714286e-01, 3.571429e-01
1259, 9.285714e-01, 5.714286e-01, 3.571429e-01
1260, 1.000000e+00, 5.714286e-01, 3.571429e-01
1261, 0.000000e+00, 6.428571e-01, 3.571429e-01
1262, 7.142857e-02, 6.428571e-01, 3.571429e-01
1263, 1.428571e-01, 6.428571e-01, 3.571429e-01
1264, 2.142857e-01, 6.428571e-01, 3.571429e-01
1265, 2.857143e-01, 6.428571e-01, 3.571429e-01
1266, 3.571429e-01, 6.428571e-01, 3.571429e-01
1267, 4.285714e-01, 6.428571e-01, 3.571429e-01
1268, 5.000000e-01, 6.428571e-01, 3.571429e-01
1269, 5.714286e-01, 6.428571e-01, 3.571429e-01
1270, 6.428571e-01, 6.428571e-01, 3.571429e-01
1271, 7.142857e-01, 6.428571e-01, 3.571429e-01
1272, 7.857143e-01, 6.428571e-01, 3.571429e-01
1273, 8.571429e-01, 6.428571e-01, 3.571429e-01
1274, 9.285714e-01, 6.428571e-01, 3.571429e-01
1275, 1.000000e+00, 6.428571e-01, 3.571429e-01
1276, 0.000000e+00, 7.142857e-01, 3.571429e-01
1277, 7.142857e-02, 7.142857e-01, 3.571429e-01
1278, 1.428571e-01, 7.142857e-01, 3.571429e-01
1279, 2.142857e-01, 7.142857e-01, 3.571429e-01
1280, 2.857143e-01, 7.142857e-01, 3.571429e-01
1281, 3.571429e-01, 7.142857e-01, 3.571429e-01
1282, 4.285714e-01, 7.142857e-01, 3.571429e-01
1283, 5.000000e-01, 7.142857e-01, 3.571429e-01
1284, 5.714286e-01, 7.142857e-01, 3.571429e-01
1285, 6.428571e-01, 7.142857e-01, 3.571429e-01
1286, 7.142857e-01, 7.142857e-01, 3.571429e-01
1287, 7.857143e-01, 7.142857e-01, 3.571429e-01
1288, 8.571429e-01, 7.142857e-01, 3.571429e-01
1289, 9.285714e-01, 7.142857e-01, 3.571429e-01
1290, 1.000000e+00, 7.142857e-01, 3.571429e-01
1291, 0.000000e+00, 7.857143e-01, 3.571429e-01
1292, 7.142857e-02, 7.857143e-01, 3.571429e-01
1293, 1.428571e-01, 7.857143e-01, 3.571429e-01
1294, 2.142857e-01, 7.857143e-01, 3.571429e-01
1295, 2.857143e-01, 7.857143e-01, 3.571429e-01
1296, 3.571429e-01, 7.857143e-01, 3.571429e-01
1297, 4.285714e-01, 7.857143e-01, 3.571429e-01
1298, 5.000000e-01, 7.857143e-01, 3.571429e-01
1299, 5.714286e-01, 7.857143e-01, 3.571429e-01
1300, 6.428571e-01, 7.857143e-01, 3.571429e-01
1301, 7.142857e-01, 7.857143e-01, 3.571429e-01
1302, 7.857143e-01, 7.857143e-01, 3.571429e-01
1303, 8.571429e-01, 7.857143e-01, 3.571429e-01
1304, 9.285714e-01, 7.857143e-01, 3.571429e-01
1305, 1.000000e+00, 7.857143e-01, 3.571429e-01
1306, 0.000000e+00, 8.571429e-01, 3.571429e-01
1307, 7.142857e-02, 8.571429e-01, 3.571429e-01
1308, 1.428571e-01, 8.571429e-01, 3.571429e-01
1309, 2.142857e-01, 8.571429e-01, 3.571429e-01
1310, 2.857143e-01, 8.571429e-01, 3.571429e-01
1311, 3.571429e-01, 8.571429e-01, 3.571429e-01
1312, 4.285714e-01, 8.571429e-01, 3.571429e-01
1313, 5.000000e-01, 8.571429e-01, 3.571429e-01
1314, 5.714286e-01, 8.571429e-01, 3.571429e-01
1315, 6.428571e-01, 8.571429e-01, 3.571429e-01
1316, 7.142857e-01, 8.571429e-01, 3.571429e-01
1317, 7.857143e-01, 8.571429e-01, 3.571429e-01
1318, 8.571429e-01, 8.571429e-01, 3.571429e-01
1319, 9.285714e-01, 8.571429e-01, 3.571429e-01
1320, 1.000000e+00, 8.571429e-01, 3.571429e-01
1321, 0.000000e+00, 9.285714e-01, 3.571429e-01
1322, 7.142857e-02, 9.285714e-01, 3.571429e-01
1323, 1.428571e-01, 9.285714e-01, 3.571429e-01
1324, 2.142857e-01, 9.285714e-01, 3.571429e-01
1325, 2.857143e-01, 9.285714e-01, 3.571429e-01
1326, 3.571429e-01, 9.285714e-01, 3.571429e-01
1327, 4.285714e-01, 9.285714e-01, 3.571429e-01
1328, 5.000000e-01, 9.285714e-01, 3.571429e-01
1329, 5.714286e-01, 9.285714e-01, 3.571429e-01
1330, 6.428571e-01, 9.285714e-01, 3.571429e-01
1331, 7.142857e-01, 9.285714e-01, 3.571429e-01
1332, 7.857143e-01, 9.285714e-01, 3.571429e-01
1333, 8.571429e-01, 9.285714e-01, 3.571429e-01
1334, 9.285714e-01, 9.285714e-01, 3.571429e-01
1335, 1.000000e+00, 9.285714e-01, 3.571429e-01
1336, 0.000000e+00, 1.000000e+00, 3.571429e-01
1337, 7.142857e-02, 1.000000e+00, 3.571429e-01
1338, 1.428571e-01, 1.000000e+00, 3.571429e-01
1339, 2.142857e-01, 1.000000e+00, 3.571429e-01
1340, 2.857143e-01, 1.000000e+00, 3.571429e-01
1341, 3.571429e-01, 1.000000e+00, 3.571429e-01
1342, 4.285714e-01, 1.000000e+00, 3.571429e-01
1343, 5.000000e-01, 1.000000e+00, 3.571429e-01
1344, 5.714286e-01, 1.000000e+00, 3.571429e-01
1345, 6.428571e-01, 1.000000e+00, 3.571429e-01
1346, 7.142857e-01, 1.000000e+00, 3.571429e-01
1347, 7.857143e-01, 1.000000e+00, 3.571429e-01
1348, 8.571429e-01, 1.000000e+00, 3.571429e-01
1349, 9.285714e-01, 1.000000e+00, 3.571429e-01
1350, 1.000000e+00, 1.000000e+00, 3.571429e-01
1351, 0.000000e+00, 0.000000e+00, 4.285714e-01
1352, 7.142857e-02, 0.000000e+00, 4.285714e-01
1353, 1.428571e-01, 0.000000e+00, 4.285714e-01
1354, 2.142857e-01, 0.000000e+00, 4.285714e-01
1355, 2.857143e-01, 0.000000e+00, 4.285714e-01
1356, 3.571429e-01, 0.000000e+00, 4.285714e-01
1357, 4.285714e-01, 0.000000e+00, 4.285714e-01
1358, 5.000000e-01, 0.000000e+00, 4.285714e-01
1359, 5.714286e-01, 0.000000e+00, 4.285714e-01
1360, 6.428571e-01, 0.000000e+00, 4.285714e-01
1361, 7.142857e-01, 0.000000e+00, 4.285714e-01
1362, 7.857143e-01, 0.000000e+00, 4.285714e-01
1363, 8.571429e-01, 0.000000e+00, 4.285714e-01
1364, 9.285714e-01, 0.000000e+00, 4.285714e-01
1365, 1.000000e+00, 0.000000e+00, 4.285714e-01
1366, 0.000000e+00, 7.142857e-02, 4.285714e-01
1367, 7.142857e-02, 7.142857e-02, 4.285714e-01
1368, 1.428571e-01, 7.142857e-02, 4.285714e-01
1369, 2.142857e-01, 7.142857e-02, 4.285714e-01
1370, 2.857143e-01, 7.142857e-02, 4.285714e-01
1371, 3.571429e-01, 7.142857e-02, 4.285714e-01
1372, 4.285714e-01, 7.142857e-02, 4.285714e-01
1373, 5.000000e-01, 7.142857e-02, 4.285714e-01
1374, 5.714286e-01, 7.142857e-02, 4.285714e-01
1375, 6.428571e-01, 7.142857e-02, 4.285714e-01
1376, 7.142857e-01, 7.142857e-02, 4.285714e-01
1377, 7.857143e-01, 7.142857e-02, 4.285714e-01
1378, 8.571429e-01, 7.142857e-02, 4.285714e-01
1379, 9.285714e-01, 7.142857e-02, 4.285714e-01
1380, 1.000000e+00, 7.142857e-02, 4.285714e-01
1381, 0.000000e+00, 1.428571e-01, 4.285714e-01
1382, 7.142857e-02, 1.428571e-01, 4.285714e-01
1383, 1.428571e-01, 1.428571e-01, 4.285714e-01
1384, 2.142857e-01, 1.428571e-01, 4.285714e-01
1385, 2.857143e-01, 1.428571e-01, 4.285714e-01
1386, 3.571429e-01, 1.428571e-01, 4.285714e-01
1387, 4.285714e-01, 1.428571e-01, 4.285714e-01
1388, 5.000000e-01, 1.428571e-01, 4.285714e-01
1389, 5.714286e-01, 1.428571e-01, 4.285714e-01
1390, 6.428571e-01, 1.428571e-01, 4.285714e-01
1391, 7.142857e-01, 1.428571e-01, 4.285714e-01
1392, 7.857143e-01, 1.428571e-01, 4.285714e-01
1393, 8.571429e-01, 1.428571e-01, 4.285714e-01
1394, 9.285714e-01, 1.428571e-01, 4.285714e-01
1395, 1.000000e+00, 1.428571e-01, 4.285714e-01
1396, 0.000000e+00, 2.142857e-01, 4.285714e-01
1397, 7.142857e-02, 2.142857e-01, 4.285714e-01
1398, 1.428571e-01, 2.142857e-01, 4.285714e-01
1399, 2.142857e-01, 2.142857e-01, 4.285714e-01
1400, 2.857143e-01, 2.142857e-01, 4.285714e-01
1401, 3.571429e-01, 2.142857e-01, 4.285714e-01
1402, 4.285714e-01, 2.142857e-01, 4.285714e-01
1403, 5.000000e-01, 2.142857e-01, 4.285714e-01
1404, 5.714286e-01, 2.142857e-01, 4.285714e-01
1405, 6.428571e-01, 2.142857e-01, 4.285714e-01
1406, 7.142857e-01, 2.142857e-01, 4.285714e-01
1407, 7.857143e-01, 2.142857e-01, 4.285714e-01
1408, 8.571429e-01, 2.142857e-01, 4.285714e-01
1409, 9.285714e-01, 2.142857e-01, 4.285714e-01
1410, 1.000000e+00, 2.142857e-01, 4.285714e-01
1411, 0.000000e+00, 2.857143e-01, 4.285714e-01
1412, 7.142857e-02, 2.857143e-01, 4.285714e-01
1413, 1.428571e-01, 2.857143e-01, 4.285714e-01
1414, 2.142857e-01, 2.857143e-01, 4.285714e-01
1415, 2.857143e-01, 2.857143e-01, 4.285714e-01
1416, 3.571429e-01, 2.857143e-01, 4.285714e-01
1417, 4.285714e-01, 2.857143e-01, 4.285714e-01
1418, 5.000000e-01, 2.857143e-01, 4.285714e-01
1419, 5.714286e-01, 2.857143e-01, 4.285714e-01
1420, 6.428571e-01, 2.857143e-01, 4.285714e-01
1421, 7.142857e-01, 2.857143e-01, 4.285714e-01
1422, 7.857143e-01, 2.857143e-01, 4.285714e-01
1423, 8.571429e-01, 2.857143e-01, 4.285714e-01
1424, 9.285714e-01, 2.857143e-01, 4.285714e-01
1425, 1.000000e+00, 2.857143e-01, 4.285714e-01
1426, 0.000000e+00, 3.571429e-01, 4.285714e-01
1427, 7.142857e-02, 3.571429e-01, 4.285714e-01
1428, 1.428571e-01, 3.571429e-01, 4.285714e-01
1429, 2.142857e-01, 3.571429e-01, 4.285714e-01
1430, 2.857143e-01, 3.571429e-01, 4.285714e-01
1431, 3.571429e-01, 3.571429e-01, 4.285714e-01
1432, 4.285714e-01, 3.571429e-01, 4.285714e-01
1433, 5.000000e-01, 3.571429e-01, 4.285714e-01
1434, 5.714286e-01, 3.571429e-01, 4.285714e-01
1435, 6.428571e-01, 3.571429e-01, 4.285714e-01
1436, 7.142857e-01, 3.571429e-01, 4.285714e-01
1437, 7.857143e-01, 3.571429e-01, 4.285714e-01
1438, 8.571429e-01, 3.571429e-01, 4.285714e-01
1439, 9.285714e-01, 3.571429e-01, 4.285714e-01
1440, 1.000000e+00, 3.571429e-01, 4.285714e-01
1441, 0.000000e+00, 4.285714e-01, 4.285714e-01
1442, 7.142857e-02, 4.285714e-01, 4.285714e-01
1443, 1.428571e-01, 4.285714e-01, 4.285714e-01
1444, 2.142857e-01, 4.285714e-01, 4.285714e-01
1445, 2.857143e-01, 4.285714e-01, 4.285714e-01
1446, 3.571429e-01, 4.285714e-01, 4.285714e-01
1447, 4.285714e-01, 4.285714e-01, 4.285714e-01
1448, 5.000000e-01, 4.285714e-01, 4.285714e-01
1449, 5.714286e-01, 4.285714e-01, 4.285714e-01
1450, 6.428571e-01, 4.285714e-01, 4.285714e-01
1451, 7.142857e-01, 4.285714e-01, 4.285714e-01
1452, 7.857143e-01, 4.285714e-01, 4.285714e-01
1453, 8.571429e-01, 4.285714e-01, 4.285714e-01
1454, 9.285714e-01, 4.285714e-01, 4.285714e-01
1455, 1.000000e+00, 4.285714e-01, 4.285714e-01
1456, 0.000000e+00, 5.000000e-01, 4.285714e-01
1457, 7.142857e-02, 5.000000e-01, 4.285714e-01
1458, 1.428571e-01, 5.000000e-01, 4.285714e-01
1459, 2.142857e-01, 5.000000e-01, 4.285714e-01
1460, 2.857143e-01, 5.000000e-01, 4.285714e-01
1461, 3.571429e-01, 5.000000e-01, 4.285714e-01
1462, 4.285714e-01, 5.000000e-01, 4.285714e-01
1463, 5.000000e-01, 5.000000e-01, 4.285714e-01
1464, 5.714286e-01, 5.000000e-01, 4.285714e-01
1465, 6.428571e-01, 5.000000e-01, 4.285714e-01
1466, 7.142857e-01, 5.000000e-01, 4.285714e-01
1467, 7.857143e-01, 5.000000e-01, 4.285714e-01
1468, 8.571429e-01, 5.000000e-01, 4.285714e-01
1469, 9.285714e-01, 5.000000e-01, 4.285714e-01
1470, 1.000000e+00, 5.000000e-01, 4.285714e-01
1471, 0.000000e+00, 5.714286e-01, 4.285714e-01
1472, 7.142857e-02, 5.714286e-01, 4.285714e-01
1473, 1.428571e-01, 5.714286e-01, 4.285714e-01
1474, 2.142857e-01, 5.714286e-01, 4.285714e-01
1475, 2.857143e-01, 5.714286e-01, 4.285714e-01
1476, 3.571429e-01, 5.714286e-01, 4.285714e-01
1477, 4.285714e-01, 5.714286e-01, 4.285714e-01
1478, 5.000000e-01, 5.714286e-01, 4.285714e-01
1479, 5.714286e-01, 5.714286e-01, 4.285714e-01
1480, 6.428571e-01, 5.714286e-01, 4.285714e-01
1481, 7.142857e-01, 5.714286e-01, 4.285714e-01
1482, 7.857143e-01, 5.714286e-01, 4.285714e-01
1483, 8.571429e-01, 5.714286e-01, 4.285714e-01
1484, 9.285714e-01, 5.714286e-01, 4.285714e-01
1485, 1.000000e+00, 5.714286e-01, 4.285714e-01
1486, 0.000000e+00, 6.428571e-01, 4.285714e-01
1487, 7.142857e-02, 6.428571e-01, 4.285714e-01
1488, 1.428571e-01, 6.428571e-01, 4.285714e-01
1489, 2.142857e-01, 6.428571e-01, 4.285714e-01
1490, 2.857143e-01, 6.428571e-01, 4.285714e-01
1491, 3.571429e-01, 6.428571e-01, 4.285714e-01
1492, 4.285714e-01, 6.428571e-01, 4.285714e-01
1493, 5.000000e-01, 6.428571e-01, 4.285714e-01
1494, 5.714286e-01, 6.428571e-01, 4.285714e-01
1495, 6.428571e-01, 6.428571e-01, 4.285714e-01
1496, 7.142857e-01, 6.428571e-01, 4.285714e-01
1497, 7.857143e-01, 6.428571e-01, 4.285714e-01
1498, 8.571429e-01, 6.428571e-01, 4.285714e-01
1499, 9.285714e-01, 6.428571e-01, 4.285714e-01
1500, 1.000000e+00, 6.428571e-01, 4.285714e-01
1501, 0.000000e+00, 7.142857e-01, 4.285714e-01
1502, 7.142857e-02, 7.142857e-01, 4.285714e-01
1503, 1.428571e-01, 7.142857e-01, 4.285714e-01
1504, 2.142857e-01, 7.142857e-01, 4.285714e-01
1505, 2.857143e-01, 7.142857e-01, 4.285714e-01
1506, 3.571429e-01, 7.142857e-01, 4.285714e-01
1507, 4.285714e-01, 7.142857e-01, 4.285714e-01
1508, 5.000000e-01, 7.142857e-01, 4.285714e-01
1509, 5.714286e-01, 7.142857e-01, 4.285714e-01
1510, 6.428571e-01, 7.142857e-01, 4.285714e-01
1511, 7.142857e-01, 7.142857e-01, 4.285714e-01
1512, 7.857143e-01, 7.142857e-01, 4.285714e-01
1513, 8.571429e-01, 7.142857e-01, 4.285714e-01
1514, 9.285714e-01, 7.142857e-01, 4.285714e-01
1515, 1.000000e+00, 7.142857e-01, 4.285714e-01
1516, 0.000000e+00, 7.857143e-01, 4.285714e-01
1517, 7.142857e-02, 7.857143e-01, 4.285714e-01
1518, 1.428571e-01, 7.857143e-01, 4.285714e-01
1519, 2.142857e-01, 7.857143e-01, 4.285714e-01
1520, 2.857143e-01, 7.857143e-01, 4.285714e-01
1521, 3.571429e-01, 7.857143e-01, 4.285714e-01
1522, 4.285714e-01, 7.857143e-01, 4.285714e-01
1523, 5.000000e-01, 7.857143e-01, 4.285714e-01
1524, 5.714286e-01, 7.857143e-01, 4.285714e-01
1525, 6.428571e-01, 7.857143e-01, 4.285714e-01
1526, 7.142857e-01, 7.857143e-01, 4.285714e-01
1527, 7.857143e-01, 7.857143e-01, 4.285714e-01
1528, 8.571429e-01, 7.857143e-01, 4.285714e-01
1529, 9.285714e-01, 7.857143e-01, 4.285714e-01
1530, 1.000000e+00, 7.857143e-01, 4.285714e-01
1531, 0.000000e+00, 8.571429e-01, 4.285714e-01
1532, 7.142857e-02, 8.571429e-01, 4.285714e-01
1533, 1.428571e-01, 8.571429e-01, 4.285714e-01
1534, 2.142857e-01, 8.571429e-01, 4.285714e-01
1535, 2.857143e-01, 8.571429e-01, 4.285714e-01
1536, 3.571429e-01, 8.571429e-01, 4.285714e-01
1537, 4.285714e-01, 8.571429e-01, 4.285714e-01
1538, 5.000000e-01, 8.571429e-01, 4.285714e-01
1539, 5.714286e-01, 8.571429e-01, 4.285714e-01
1540, 6.428571e-01, 8.571429e-01, 4.285714e-01
1541, 7.142857e-01, 8.571429e-01, 4.285714e-01
1542, 7.857143e-01, 8.571429e-01, 4.285714e-01
1543, 8.571429e-01, 8.571429e-01, 4.285714e-01
1544, 9.285714e-01, 8.571429e-01, 4.285714e-01
1545, 1.000000e+00, 8.571429e-01, 4.285714e-01
1546, 0.000000e+00, 9.285714e-01, 4.285714e-01
1547, 7.142857e-02, 9.285714e-01, 4.285714e-01
1548, 1.428571e-01, 9.285714e-01, 4.285714e-01
1549, 2.142857e-01, 9.285714e-01, 4.285714e-01
1550, 2.857143e-01, 9.285714e-01, 4.285714e-01
1551, 3.571429e-01, 9.285714e-01, 4.285714e-01
1552, 4.285714e-01, 9.285714e-01, 4.285714e-01
1553, 5.000000e-01, 9.285714e-01, 4.285714e-01
1554, 5.714286e-01, 9.285714e-01, 4.285714e-01
1555, 6.428571e-01, 9.285714e-01, 4.285714e-01
1556, 7.142857e-01, 9.285714e-01, 4.285714e-01
1557, 7.857143e-01, 9.285714e-01, 4.285714e-01
1558, 8.571429e-01, 9.285714e-01, 4.285714e-01
1559, 9.285714e-01, 9.285714e-01, 4.285714e-01
1560, 1.000000e+00, 9.285714e-01, 4.285714e-01
1561, 0.000000e+00, 1.000000e+00, 4.285714e-01
1562, 7.142857e-02, 1.000000e+00, 4.285714e-01
1563, 1.428571e-01, 1.000000e+00, 4.285714e-01
1564, 2.142857e-01, 1.000000e+00, 4.285714e-01
1565, 2.857143e-01, 1.000000e+00, 4.285714e-01
1566, 3.571429e-01, 1.000000e+00, 4.285714e-01
1567, 4.285714e-01, 1.000000e+00, 4.285714e-01
1568, 5.000000e-01, 1.000000e+00, 4.285714e-01
1569, 5.714286e-01, 1.000000e+00, 4.285714e-01
1570, 6.428571e-01, 1.000000e+00, 4.285714e-01
1571, 7.142857e-01, 1.000000e+00, 4.285714e-01
1572, 7.857143e-01, 1.000000e+00, 4.285714e-01
1573, 8.571429e-01, 1.000000e+00, 4.285714e-01
1574, 9.285714e-01, 1.000000e+00, 4.285714e-01
1575, 1.000000e+00, 1.000000e+00, 4.285714e-01
1576, 0.000000e+00, 0.000000e+00, 5.000000e-01
1577, 7.142857e-02, 0.000000e+00, 5.000000e-01
1578, 1.428571e-01, 0.000000e+00, 5.000000e-01
1579, 2.142857e-01, 0.000000e+00, 5.000000e-01
1580, 2.857143e-01, 0.000000e+00, 5.000000e-01
1581, 3.571429e-01, 0.000000e+00, 5.000000e-01
1582, 4.285714e-01, 0.000000e+00, 5.000000e-01
1583, 5.000000e-01, 0.000000e+00, 5.000000e-01
1584, 5.714286e-01, 0.000000e+00, 5.000000e-01
1585, 6.428571e-01, 0.000000e+00, 5.000000e-01
1586, 7.142857e-01, 0.000000e+00, 5.000000e-01
1587, 7.857143e-01, 0.000000e+00, 5.000000e-01
1588, 8.571429e-01, 0.000000e+00, 5.000000e-01
1589, 9.285714e-01, 0.000000e+00, 5.000000e-01
1590, 1.000000e+00, 0.000000e+00, 5.000000e-01
1591, 0.000000e+00, 7.142857e-02, 5.000000e-01
1592, 7.142857e-02, 7.142857e-02, 5.000000e-01
1593, 1.428571e-01, 7.142857e-02, 5.000000e-01
1594, 2.142857e-01, 7.142857e-02, 5.000000e-01
1595, 2.857143e-01, 7.142857e-02, 5.000000e-01
1596, 3.571429e-01, 7.142857e-02, 5.000000e-01
1597, 4.285714e-01, 7.142857e-02, 5.000000e-01
1598, 5.000000e-01, 7.142857e-02, 5.000000e-01
1599, 5.714286e-01, 7.142857e-02, 5.000000e-01
1600, 6.428571e-01, 7.142857e-02, 5.000000e-01
1601, 7.142857e-01, 7.142857e-02, 5.000000e-01
1602, 7.857143e-01, 7.142857e-02, 5.000000e-01
1603, 8.571429e-01, 7.142857e-02, 5.000000e-01
1604, 9.285714e-01, 7.142857e-02, 5.000000e-01
1605, 1.000000e+00, 7.142857e-02, 5.000000e-01
1606, 0.000000e+00, 1.428571e-01, 5.000000e-01
1607, 7.142857e-02, 1.428571e-01, 5.000000e-01
1608, 1.428571e-01, 1.428571e-01, 5.000000e-01
1609, 2.142857e-01, 1.428571e-01, 5.000000e-01
1610, 2.857143e-01, 1.428571e-01, 5.000000e-01
1611, 3.571429e-01, 1.428571e-01, 5.000000e-01
1612, 4.285714e-01, 1.428571e-01, 5.000000e-01
1613, 5.000000e-01, 1.428571e-01, 5.000000e-01
1614, 5.714286e-01, 1.428571e-01, 5.000000e-01
1615, 6.428571e-01, 1.428571e-01, 5.000000e-01
1616, 7.142857e-01, 1.428571e-01, 5.000000e-01
1617, 7.857143e-01, 1.428571e-01, 5.000000e-01
1618, 8.571429e-01, 1.428571e-01, 5.000000e-01
1619, 9.285714e-01, 1.428571e-01, 5.000000e-01
1620, 1.000000e+00, 1.428571e-01, 5.000000e-01
1621, 0.000000e+00, 2.142857e-01, 5.000000e-01
1622, 7.142857e-02, 2.142857e-01, 5.000000e-01
1623, 1.428571e-01, 2.142857e-01, 5.000000e-01
1624, 2.142857e-01, 2.142857e-01, 5.000000e-01
1625, 2.857143e-01, 2.142857e-01, 5.000000e-01
1626, 3.571429e-01, 2.142857e-01, 5.000000e-01
1627, 4.285714e-01, 2.142857e-01, 5.000000e-01
1628, 5.000000e-01, 2.142857e-01, 5.000000e-01
1629, 5.714286e-01, 2.142857e-01, 5.000000e-01
1630, 6.428571e-01, 2.142857e-01, 5.000000e-01
1631, 7.142857e-01, 2.142857e-01, 5.000000e-01
1632, 7.857143e-01, 2.142857e-01, 5.000000e-01
1633, 8.571429e-01, 2.142857e-01, 5.000000e-01
1634, 9.285714e-01, 2.142857e-01, 5.000000e-01
1635, 1.000000e+00, 2.142857e-01, 5.000000e-01
1636, 0.000000e+00, 2.857143e-01, 5.000000e-01
1637, 7.142857e-02, 2.857143e-01, 5.000000e-01
1638, 1.428571e-01, 2.857143e-01, 5.000000e-01
1639, 2.142857e-01, 2.857143e-01, 5.000000e-01
1640, 2.857143e-01, 2.857143e-01, 5.000000e-01
1641, 3.571429e-01, 2.857143e-01, 5.000000e-01
1642, 4.285714e-01, 2.857143e-01, 5.000000e-01
1643, 5.000000e-01, 2.857143e-01, 5.000000e-01
1644, 5.714286e-01, 2.857143e-01, 5.000000e-01
1645, 6.428571e-01, 2.857143e-01, 5.000000e-01
1646, 7.142857e-01, 2.857143e-01, 5.000000e-01
1647, 7.857143e-01, 2.857143e-01, 5.000000e-01
1648, 8.571429e-01, 2.857143e-01, 5.000000e-01
1649, 9.285714e-01, 2.857143e-01, 5.000000e-01
1650, 1.000000e+00, 2.857143e-01, 5.000000e-01
1651, 0.000000e+00, 3.571429e-01, 5.000000e-01
1652, 7.142857e-02, 3.571429e-01, 5.000000e-01
1653, 1.428571e-01, 3.571429e-01, 5.000000e-01
1654, 2.142857e-01, 3.571429e-01, 5.000000e-01
1655, 2.857143e-01, 3.571429e-01, 5.000000e-01
1656, 3.571429e-01, 3.571429e-01, 5.000000e-01
1657, 4.285714e-01, 3.571429e-01, 5.000000e-01
1658, 5.000000e-01, 3.571429e-01, 5.000000e-01
1659, 5.714286e-01, 3.571429e-01, 5.000000e-01
1660, 6.428571e-01, 3.571429e-01, 5.000000e-01
1661, 7.142857e-01, 3.571429e-01, 5.000000e-01
1662, 7.857143e-01, 3.571429e-01, 5.000000e-01
1663, 8.571429e-01, 3.571429e-01, 5.000000e-01
1664, 9.285714e-01, 3.571429e-01, 5.000000e-01
1665, 1.000000e+00, 3.571429e-01, 5.000000e-01
1666, 0.000000e+00, 4.285714e-01, 5.000000e-01
1667, 7.142857e-02, 4.285714e-01, 5.000000e-01
1668, 1.428571e-01, 4.285714e-01, 5.000000e-01
1669, 2.142857e-01, 4.285714e-01, 5.000000e-01
1670, 2.857143e-01, 4.285714e-01, 5.000000e-01
1671, 3.571429e-01, 4.285714e-01, 5.000000e-01
1672, 4.285714e-01, 4.285714e-01, 5.000000e-01
1673, 5.000000e-01, 4.285714e-01, 5.000000e-01
1674, 5.714286e-01, 4.285714e-01, 5.000000e-01
1675, 6.428571e-01, 4.285714e-01, 5.000000e-01
1676, 7.142857e-01, 4.285714e-01, 5.000000e-01
1677, 7.857143e-01, 4.285714e-01, 5.000000e-01
1678, 8.571429e-01, 4.285714e-01, 5.000000e-01
1679, 9.285714e-01, 4.285714e-01, 5.000000e-01
1680, 1.000000e+00, 4.285714e-01, 5.000000e-01
1681, 0.000000e+00, 5.000000e-01, 5.000000e-01
1682, 7.142857e-02, 5.000000e-01, 5.000000e-01
1683, 1.428571e-01, 5.000000e-01, 5.000000e-01
1684, 2.142857e-01, 5.000000e-01, 5.000000e-01
1685, 2.857143e-01, 5.000000e-01, 5.000000e-01
1686, 3.571429e-01, 5.000000e-01, 5.000000e-01
1687, 4.285714e-01, 5.000000e-01, 5.000000e-01
1688, 5.000000e-01, 5.000000e-01, 5.000000e-01
1689, 5.714286e-01, 5.000000e-01, 5.000000e-01
1690, 6.428571e-01, 5.000000e-01, 5.000000e-01
1691, 7.142857e-01, 5.000000e-01, 5.000000e-01
1692, 7.857143e-01, 5.000000e-01, 5.000000e-01
1693, 8.571429e-01, 5.000000e-01, 5.000000e-01
1694, 9.285714e-01, 5.000000e-01, 5.000000e-01
1695, 1.000000e+00, 5.000000e-01, 5.000000e-01
1696, 0.000000e+00, 5.714286e-01, 5.000000e-01
1697, 7.142857e-02, 5.714286e-01, 5.000000e-01
1698, 1.428571e-01, 5.714286e-01, 5.000000e-01
1699, 2.142857e-01, 5.714286e-01, 5.000000e-01
1700, 2.857143e-01, 5.714286e-01, 5.000000e-01
1701, 3.571429e-01, 5.714286e-01, 5.000000e-01
1702, 4.285714e-01, 5.714286e-01, 5.000000e-01
1703, 5.000000e-01, 5.714286e-01, 5.000000e-01
1704, 5.714286e-01, 5.714286e-01, 5.000000e-01
1705, 6.428571e-01, 5.714286e-01, 5.000000e-01
1706, 7.142857e-01, 5.714286e-01, 5.000000e-01
1707, 7.857143e-01, 5.714286e-01, 5.000000e-01
1708, 8.571429e-01, 5.714286e-01, 5.000000e-01
1709, 9.285714e-01, 5.714286e-01, 5.000000e-01
1710, 1.000000e+00, 5.714286e-01, 5.000000e-01
1711, 0.000000e+00, 6.428571e-01, 5.000000e-01
1712, 7.142857e-02, 6.428571e-01, 5.000000e-01
1713, 1.428571e-01, 6.428571e-01, 5.000000e-01
1714, 2.142857e-01, 6.428571e-01, 5.000000e-01
1715, 2.857143e-01, 6.428571e-01, 5.000000e-01
1716, 3.571429e-01, 6.428571e-01, 5.000000e-01
1717, 4.285714e-01, 6.428571e-01, 5.000000e-01
1718, 5.000000e-01, 6.428571e-01, 5.000000e-01
1719, 5.714286e-01, 6.428571e-01, 5.000000e-01
1720, 6.428571e-01, 6.428571e-01, 5.000000e-01
1721, 7.142857e-01, 6.428571e-01, 5.000000e-01
1722, 7.857143e-01, 6.428571e-01, 5.000000e-01
1723, 8.571429e-01, 6.428571e-01, 5.000000e-01
1724, 9.285714e-01, 6.428571e-01, 5.000000e-01
1725, 1.000000e+00, 6.428571e-01, 5.000000e-01
1726, 0.000000e+00, 7.142857e-01, 5.000000e-01
1727, 7.142857e-02, 7.142857e-01, 5.000000e-01
1728, 1.428571e-01, 7.142857e-01, 5.000000e-01
1729, 2.142857e-01, 7.142857e-01, 5.000000e-01
1730, 2.857143e-01, 7.142857e-01, 5.000000e-01
1731, 3.571429e-01, 7.142857e-01, 5.000000e-01
1732, 4.285714e-01, 7.142857e-01, 5.000000e-01
1733, 5.000000e-01, 7.142857e-01, 5.000000e-01
1734, 5.714286e-01, 7.142857e-01, 5.000000e-01
1735, 6.428571e-01, 7.142857e-01, 5.000000e-01
1736, 7.142857e-01, 7.142857e-01, 5.000000e-01
1737, 7.857143e-01, 7.142857e-01, 5.000000e-01
1738, 8.571429e-01, 7.142857e-01, 5.000000e-01
1739, 9.285714e-01, 7.142857e-01, 5.000000e-01
1740, 1.000000e+00, 7.142857e-01, 5.000000e-01
1741, 0.000000e+00, 7.857143e-01, 5.000000e-01
1742, 7.142857e-02, 7.857143e-01, 5.000000e-01
1743, 1.428571e-01, 7.857143e-01, 5.000000e-01
1744, 2.142857e-01, 7.857143e-01, 5.000000e-01
1745, 2.857143e-01, 7.857143e-01, 5.000000e-01
1746, 3.571429e-01, 7.857143e-01, 5.000000e-01
1747, 4.285714e-01, 7.857143e-01, 5.000000e-01
1748, 5.000000e-01, 7.857143e-01, 5.000000e-01
1749, 5.714286e-01, 7.857143e-01, 5.000000e-01
1750, 6.428571e-01, 7.857143e-01, 5.000000e-01
1751, 7.142857e-01, 7.857143e-01, 5.000000e-01
1752, 7.857143e-01, 7.857143e-01, 5.000000e-01
1753, 8.571429e-01, 7.857143e-01, 5.000000e-01
1754, 9.285714e-01, 7.857143e-01, 5.000000e-01
1755, 1.000000e+00, 7.857143e-01, 5.000000e-01
1756, 0.000000e+00, 8.571429e-01, 5.000000e-01
1757, 7.142857e-02, 8.571429e-01, 5.000000e-01
1758, 1.428571e-01, 8.571429e-01, 5.000000e-01
1759, 2.142857e-01, 8.571429e-01, 5.000000e-01
1760, 2.857143e-01, 8.571429e-01, 5.000000e-01
1761, 3.571429e-01, 8.571429e-01, 5.000000e-01
1762, 4.285714e-01, 8.571429e-01, 5.000000e-01
1763, 5.000000e-01, 8.571429e-01, 5.000000e-01
1764, 5.714286e-01, 8.571429e-01, 5.000000e-01
1765, 6.428571e-01, 8.571429e-01, 5.000000e-01
1766, 7.142857e-01, 8.571429e-01, 5.000000e-01
1767, 7.857143e-01, 8.571429e-01, 5.000000e-01
1768, 8.571429e-01, 8.571429e-01, 5.000000e-01
1769, 9.285714e-01, 8.571429e-01, 5.000000e-01
1770, 1.000000e+00, 8.571429e-01, 5.000000e-01
1771, 0.000000e+00, 9.285714e-01, 5.000000e-01
1772, 7.142857e-02, 9.285714e-01, 5.000000e-01
1773, 1.428571e-01, 9.285714e-01, 5.000000e-01
1774, 2.142857e-01, 9.285714e-01, 5.000000e-01
1775, 2.857143e-01, 9.285714e-01, 5.000000e-01
1776, 3.571429e-01, 9.285714e-01, 5.000000e-01
1777, 4.285714e-01, 9.285714e-01, 5.000000e-01
1778, 5.000000e-01, 9.285714e-01, 5.000000e-01
1779, 5.714286e-01, 9.285714e-01, 5.000000e-01
1780, 6.428571e-01, 9.285714e-01, 5.000000e-01
1781, 7.142857e-01, 9.285714e-01, 5.000000e-01
1782, 7.857143e-01, 9.285714e-01, 5.000000e-01
1783, 8.571429e-01, 9.285714e-01, 5.000000e-01
1784, 9.285714e-01, 9.285714e-01, 5.000000e-01
1785, 1.000000e+00, 9.285714e-01, 5.000000e-01
1786, 0.000000e+00, 1.000000e+00, 5.000000e-01
1787, 7.142857e-02, 1.000000e+00, 5.000000e-01
1788, 1.428571e-01, 1.000000e+00, 5.000000e-01
1789, 2.142857e-01, 1.000000e+00, 5.000000e-01
1790, 2.857143e-01, 1.000000e+00, 5.000000e-01
1791, 3.571429e-01, 1.000000e+00, 5.000000e-01
1792, 4.285714e-01, 1.000000e+00, 5.000000e-01
1793, 5.000000e-01, 1.000000e+00, 5.000000e-01
1794, 5.714286e-01, 1.000000e+00, 5.000000e-01
1795, 6.428571e-01, 1.000000e+00, 5.000000e-01
1796, 7.142857e-01, 1.000000e+00, 5.000000e-01
1797, 7.857143e-01, 1.000000e+00, 5.000000e-01
1798, 8.571429e-01, 1.000000e+00, 5.000000e-01
1799, 9.285714e-01, 1.000000e+00, 5.000000e-01
1800, 1.000000e+00, 1.000000e+00, 5.000000e-01
1801, 0.000000e+00, 0.000000e+00, 5.714286e-01
1802, 7.142857e-02, 0.000000e+00, 5.714286e-01
1803, 1.428571e-01, 0.000000e+00, 5.714286e-01
1804, 2.142857e-01, 0.000000e+00, 5.714286e-01
1805, 2.857143e-01, 0.000000e+00, 5.714286e-01
1806, 3.571429e-01, 0.000000e+00, 5.714286e-01
1807, 4.285714e-01, 0.000000e+00, 5.714286e-01
1808, 5.000000e-01, 0.000000e+00, 5.714286e-01
1809, 5.714286e-01, 0.000000e+00, 5.714286e-01
1810, 6.428571e-01, 0.000000e+00, 5.714286e-01
1811, 7.142857e-01, 0.000000e+00, 5.714286e-01
1812, 7.857143e-01, 0.000000e+00, 5.714286e-01
1813, 8.571429e-01, 0.000000e+00, 5.714286e-01
1814, 9.285714e-01, 0.000000e+00, 5.714286e-01
1815, 1.000000e+00, 0.000000e+00, 5.714286e-01
1816, 0.000000e+00, 7.142857e-02, 5.714286e-01
1817, 7.142857e-02, 7.142857e-02, 5.714286e-01
1818, 1.428571e-01, 7.142857e-02, 5.714286e-01
1819, 2.142857e-01, 7.142857e-02, 5.714286e-01
1820, 2.857143e-01, 7.142857e-02, 5.714286e-01
1821, 3.571429e-01, 7.142857e-02, 5.714286e-01
1822, 4.285714e-01, 7.142857e-02, 5.714286e-01
1823, 5.000000e-01, 7.142857e-02, 5.714286e-01
1824, 5.714286e-01, 7.142857e-02, 5.714286e-01
1825, 6.428571e-01, 7.142857e-02, 5.714286e-01
1826, 7.142857e-01, 7.142857e-02, 5.714286e-01
1827, 7.857143e-01, 7.142857e-02, 5.714286e-01
1828, 8.571429e-01, 7.142857e-02, 5.714286e-01
1829, 9.285714e-01, 7.142857e-02, 5.714286e-01
1830, 1.000000e+00, 7.142857e-02, 5.714286e-01
1831, 0.000000e+00, 1.428571e-01, 5.714286e-01
1832, 7.142857e-02, 1.428571e-01, 5.714286e-01
1833, 1.428571e-01, 1.428571e-01, 5.714286e-01
1834, 2.142857e-01, 1.428571e-01, 5.714286e-01
1835, 2.857143e-01, 1.428571e-01, 5.714286e-01
1836, 3.571429e-01, 1.428571e-01, 5.714286e-01
1837, 4.285714e-01, 1.428571e-01, 5.714286e-01
1838, 5.000000e-01, 1.428571e-01, 5.714286e-01
1839, 5.714286e-01, 1.428571e-01, 5.714286e-01
1840, 6.428571e-01, 1.428571e-01, 5.714286e-01
1841, 7.142857e-01, 1.428571e-01, 5.714286e-01
1842, 7.857143e-01, 1.428571e-01, 5.714286e-01
1843, 8.571429e-01, 1.428571e-01, 5.714286e-01
1844, 9.285714e-01, 1.428571e-01, 5.714286e-01
1845, 1.000000e+00, 1.428571e-01, 5.714286e-01
1846, 0.000000e+00, 2.142857e-01, 5.714286e-01
1847, 7.142857e-02, 2.142857e-01, 5.714286e-01
1848, 1.428571e-01, 2.142857e-01, 5.714286e-01
1849, 2.142857e-01, 2.142857e-01, 5.714286e-01
1850, 2.857143e-01, 2.142857e-01, 5.714286e-01
1851, 3.571429e-01, 2.142857e-01, 5.714286e-01
1852, 4.285714e-01, 2.142857e-01, 5.714286e-01
1853, 5.000000e-01, 2.142857e-01, 5.714286e-01
1854, 5.714286e-01, 2.142857e-01, 5.714286e-01
1855, 6.428571e-01, 2.142857e-01, 5.714286e-01
1856, 7.142857e-01, 2.142857e-01, 5.714286e-01
1857, 7.857143e-01, 2.142857e-01, 5.714286e-01
1858, 8.571429e-01, 2.142857e-01, 5.714286e-01
1859, 9.285714e-01, 2.142857e-01, 5.714286e-01
1860, 1.000000e+00, 2.142857e-01, 5.714286e-01
1861, 0.000000e+00, 2.857143e-01, 5.714286e-01
1862, 7.142857e-02, 2.857143e-01, 5.714286e-01
1863, 1.428571e-01, 2.857143e-01, 5.714286e-01
1864, 2.142857e-01, 2.857143e-01, 5.714286e-01
1865, 2.857143e-01, 2.857143e-01, 5.714286e-01
1866, 3.571429e-01, 2.857143e-01, 5.714286e-01
1867, 4.285714e-01, 2.857143e-01, 5.714286e-01
1868, 5.000000e-01, 2.857143e-01, 5.714286e-01
1869, 5.714286e-01, 2.857143e-01, 5.714286e-01
1870, 6.428571e-01, 2.857143e-01, 5.714286e-01
1871, 7.142857e-01, 2.857143e-01, 5.714286e-01
1872, 7.857143e-01, 2.857143e-01, 5.714286e-01
1873, 8.571429e-01, 2.857143e-01, 5.714286e-01
1874, 9.285714e-01, 2.857143e-01, 5.714286e-01
1875, 1.000000e+00, 2.857143e-01, 5.714286e-01
1876, 0.000000e+00, 3.571429e-01, 5.714286e-01
1877, 7.142857e-02, 3.571429e-01, 5.714286e-01
1878, 1.428571e-01, 3.571429e-01, 5.714286e-01
1879, 2.142857e-01, 3.571429e-01, 5.714286e-01
1880, 2.857143e-01, 3.571429e-01, 5.714286e-01
1881, 3.571429e-01, 3.571429e-01, 5.714286e-01
1882, 4.285714e-01, 3.571429e-01, 5.714286e-01
1883, 5.000000e-01, 3.571429e-01, 5.714286e-01
1884, 5.714286e-01, 3.571429e-01, 5.714286e-01
1885, 6.428571e-01, 3.571429e-01, 5.714286e-01
1886, 7.142857e-01, 3.571429e-01, 5.714286e-01
1887, 7.857143e-01, 3.571429e-01, 5.714286e-01
1888, 8.571429e-01, 3.571429e-01, 5.714286e-01
1889, 9.285714e-01, 3.571429e-01, 5.714286e-01
1890, 1.000000e+00, 3.571429e-01, 5.714286e-01
1891, 0.000000e+00, 4.285714e-01, 5.714286e-01
1892, 7.142857e-02, 4.285714e-01, 5.714286e-01
1893, 1.428571e-01, 4.285714e-01, 5.714286e-01
1894, 2.142857e-01, 4.285714e-01, 5.714286e-01
1895, 2.857143e-01, 4.285714e-01, 5.714286e-01
1896, 3.571429e-01, 4.285714e-01, 5.714286e-01
1897, 4.285714e-01, 4.285714e-01, 5.714286e-01
1898, 5.000000e-01, 4.285714e-01, 5.714286e-01
1899, 5.714286e-01, 4.285714e-01, 5.714286e-01
1900, 6.428571e-01, 4.285714e-01, 5.714286e-01
1901, 7.142857e-01, 4.285714e-01, 5.714286e-01
1902, 7.857143e-01, 4.285714e-01, 5.714286e-01
1903, 8.571429e-01, 4.285714e-01, 5.714286e-01
1904, 9.285714e-01, 4.285714e-01, 5.714286e-01
1905, 1.000000e+00, 4.285714e-01, 5.714286e-01
1906, 0.000000e+00, 5.000000e-01, 5.714286e-01
1907, 7.142857e-02, 5.000000e-01, 5.714286e-01
1908, 1.428571e-01, 5.000000e-01, 5.714286e-01
1909, 2.142857e-01, 5.000000e-01, 5.714286e-01
1910, 2.857143e-01, 5.000000e-01, 5.714286e-01
1911, 3.571429e-01, 5.000000e-01, 5.714286e-01
1912, 4.285714e-01, 5.000000e-01, 5.714286e-01
1913, 5.000000e-01, 5.000000e-01, 5.714286e-01
1914, 5.714286e-01, 5.000000e-01, 5.714286e-01
1915, 6.428571e-01, 5.000000e-01, 5.714286e-01
1916, 7.142857e-01, 5.000000e-01, 5.714286e-01
1917, 7.857143e-01, 5.000000e-01, 5.714286e-01
1918, 8.571429e-01, 5.000000e-01, 5.714286e-01
1919, 9.285714e-01, 5.000000e-01, 5.714286e-01
1920, 1.000000e+00, 5.000000e-01, 5.714286e-01
1921, 0.000000e+00, 5.714286e-01, 5.714286e-01
1922, 7.142857e-02, 5.714286e-01, 5.714286e-01
1923, 1.428571e-01, 5.714286e-01, 5.714286e-01
1924, 2.142857e-01, 5.714286e-01, 5.714286e-01
1925, 2.857143e-01, 5.714286e-01, 5.714286e-01
1926, 3.571429e-01, 5.714286e-01, 5.714286e-01
1927, 4.285714e-01, 5.714286e-01, 5.714286e-01
1928, 5.000000e-01, 5.714286e-01, 5.714286e-01
1929, 5.714286e-01, 5.714286e-01, 5.714286e-01
1930, 6.428571e-01, 5.714286e-01, 5.714286e-01
1931, 7.142857e-01, 5.714286e-01, 5.714286e-01
1932, 7.857143e-01, 5.714286e-01, 5.714286e-01
1933, 8.571429e-01, 5.714286e-01, 5.714286e-01
1934, 9.285714e-01, 5.714286e-01, 5.714286e-01
1935, 1.000000e+00, 5.714286e-01, 5.714286e-01
1936, 0.000000e+00, 6.428571e-01, 5.714286e-01
1937, 7.142857e-02, 6.428571e-01, 5.714286e-01
1938, 1.428571e-01, 6.428571e-01, 5.714286e-01
1939, 2.142857e-01, 6.428571e-01, 5.714286e-01
1940, 2.857143e-01, 6.428571e-01, 5.714286e-01
1941, 3.571429e-01, 6.428571e-01, 5.714286e-01
1942, 4.285714e-01, 6.428571e-01, 5.714286e-01
1943, 5.000000e-01, 6.428571e-01, 5.714286e-01
1944, 5.714286e-01, 6.428571e-01, 5.714286e-01
1945, 6.428571e-01, 6.428571e-01, 5.714286e-01
1946, 7.142857e-01, 6.428571e-01, 5.714286e-01
1947, 7.857143e-01, 6.428571e-01, 5.714286e-01
1948, 8.571429e-01, 6.428571e-01, 5.714286e-01
1949, 9.285714e-01, 6.428571e-01, 5.714286e-01
1950, 1.000000e+00, 6.428571e-01, 5.714286e-01
1951, 0.000000e+00, 7.142857e-01, 5.714286e-01
1952, 7.142857e-02, 7.142857e-01, 5.714286e-01
1953, 1.428571e-01, 7.142857e-01, 5.714286e-01
1954, 2.142857e-01, 7.142857e-01, 5.714286e-01
1955, 2.857143e-01, 7.142857e-01, 5.714286e-01
1956, 3.571429e-01, 7.142857e-01, 5.714286e-01
1957, 4.285714e-01, 7.142857e-01, 5.714286e-01
1958, 5.000000e-01, 7.142857e-01, 5.714286e-01
1959, 5.714286e-01, 7.142857e-01, 5.714286e-01
1960, 6.428571e-01, 7.142857e-01, 5.714286e-01
1961, 7.142857e-01, 7.142857e-01, 5.714286e-01
1962, 7.857143e-01, 7.142857e-01, 5.714286e-01
1963, 8.571429e-01, 7.142857e-01, 5.714286e-01
1964, 9.285714e-01, 7.142857e-01, 5.714286e-01
1965, 1.000000e+00, 7.142857e-01, 5.714286e-01
1966, 0.000000e+00, 7.857143e-01, 5.714286e-01
1967, 7.142857e-02, 7.857143e-01, 5.714286e-01
1968, 1.428571e-01, 7.857143e-01, 5.714286e-01
1969, 2.142857e-01, 7.857143e-01, 5.714286e-01
1970, 2.857143e-01, 7.857143e-01, 5.714286e-01
1971, 3.571429e-01, 7.857143e-01, 5.714286e-01
1972, 4.285714e-01, 7.857143e-01, 5.714286e-01
1973, 5.000000e-01, 7.857143e-01, 5.714286e-01
1974, 5.714286e-01, 7.857143e-01, 5.714286e-01
1975, 6.428571e-01, 7.857143e-01, 5.714286e-01
1976, 7.142857e-01, 7.857143e-01, 5.714286e-01
1977, 7.857143e-01, 7.857143e-01, 5.714286e-01
1978, 8.571429e-01, 7.857143e-01, 5.714286e-01
1979, 9.285714e-01, 7.857143e-01, 5.714286e-01
1980, 1.000000e+00, 7.857143e-01, 5.714286e-01
1981, 0.000000e+00, 8.571429e-01, 5.714286e-01
1982, 7.142857e-02, 8.571429e-01, 5.714286e-01
1983, 1.428571e-01, 8.571429e-01, 5.714286e-01
1984, 2.142857e-01, 8.571429e-01, 5.714286e-01
1985, 2.857143e-01, 8.571429e-01, 5.714286e-01
1986, 3.571429e-01, 8.571429e-01, 5.714286e-01
1987, 4.285714e-01, 8.571429e-01, 5.714286e-01
1988, 5.000000e-01, 8.571429e-01, 5.714286e-01
1989, 5.714286e-01, 8.571429e-01, 5.714286e-01
1990, 6.428571e-01, 8.571429e-01, 5.714286e-01
1991, 7.142857e-01, 8.571429e-01, 5.714286e-01
1992, 7.857143e-01, 8.571429e-01, 5.714286e-01
1993, 8.571429e-01, 8.571429e-01, 5.714286e-01
1994, 9.285714e-01, 8.571429e-01, 5.714286e-01
1995, 1.000000e+00, 8.571429e-01, 5.714286e-01
1996, 0.000000e+00, 9.285714e-01, 5.714286e-01
1997, 7.142857e-02, 9.285714e-01, 5.714286e-01
1998, 1.428571e-01, 9.285714e-01, 5.714286e-01
1999, 2.142857e-01, 9.285714e-01, 5.714286e-01
2000, 2.857143e-01, 9.285714e-01, 5.714286e-01
2001, 3.571429e-01, 9.285714e-01, 5.714286e-01
2002, 4.285714e-01, 9.285714e-01, 5.714286e-01
2003, 5.000000e-01, 9.285714e-01, 5.714286e-01
2004, 5.714286e-01, 9.285714e-01, 5.714286e-01
2005, 6.428571e-01, 9.285714e-01, 5.714286e-01
2006, 7.142857e-01, 9.285714e-01, 5.714286e-01
2007, 7.857143e-01, 9.285714e-01, 5.714286e-01
2008, 8.571429e-01, 9.285714e-01, 5.714286e-01
2009, 9.285714e-01, 9.285714e-01, 5.714286e-01
2010, 1.000000e+00, 9.285714e-01, 5.714286e-01
2011, 0.000000e+00, 1.000000e+00, 5.714286e-01
2012, 7.142857e-02, 1.000000e+00, 5.714286e-01
2013, 1.428571e-01, 1.000000e+00, 5.714286e-01
2014, 2.142857e-01, 1.000000e+00, 5.714286e-01
2015, 2.857143e-01, 1.000000e+00, 5.714286e-01
2016, 3.571429e-01, 1.000000e+00, 5.714286e-01
2017, 4.285714e-01, 1.000000e+00, 5.714286e-01
2018, 5.000000e-01, 1.000000e+00, 5.714286e-01
2019, 5.714286e-01, 1.000000e+00, 5.714286e-01
2020, 6.428571e-01, 1.000000e+00, 5.714286e-01
2021, 7.142857e-01, 1.000000e+00, 5.714286e-01
2022, 7.857143e-01, 1.000000e+00, 5.714286e-01
2023, 8.571429e-01, 1.000000e+00, 5.714286e-01
2024, 9.285714e-01, 1.000000e+00, 5.714286e-01
2025, 1.000000e+00, 1.000000e+00, 5.714286e-01
2026, 0.000000e+00, 0.000000e+00, 6.428571e-01
2027, 7.142857e-02, 0.000000e+00, 6.428571e-01
2028, 1.428571e-01, 0.000000e+00, 6.428571e-01
2029, 2.142857e-01, 0.000000e+00, 6.428571e-01
2030, 2.857143e-01, 0.000000e+00, 6.428571e-01
2031, 3.571429e-01, 0.000000e+00, 6.428571e-01
2032, 4.285714e-01, 0.000000e+00, 6.428571e-01
2033, 5.000000e-01, 0.000000e+00, 6.428571e-01
2034, 5.714286e-01, 0.000000e+00, 6.428571e-01
2035, 6.428571e-01, 0.000000e+00, 6.428571e-01
2036, 7.142857e-01, 0.000000e+00, 6.428571e-01
2037, 7.857143e-01, 0.000000e+00, 6.428571e-01
2038, 8.571429e-01, 0.000000e+00, 6.428571e-01
2039, 9.285714e-01, 0.000000e+00, 6.428571e-01
2040, 1.000000e+00, 0.000000e+00, 6.428571e-01
2041, 0.000000e+00, 7.142857e-02, 6.428571e-01
2042, 7.142857e-02, 7.142857e-02, 6.428571e-01
2043, 1.428571e-01, 7.142857e-02, 6.428571e-01
2044, 2.142857e-01, 7.142857e-02, 6.428571e-01
2045, 2.857143e-01, 7.142857e-02, 6.428571e-01
2046, 3.571429e-01, 7.142857e-02, 6.428571e-01
2047, 4.285714e-01, 7.142857e-02, 6.428571e-01
2048, 5.000000e-01, 7.142857e-02, 6.428571e-01
2049, 5.714286e-01, 7.142857e-02, 6.428571e-01
2050, 6.428571e-01, 7.142857e-02, 6.428571e-01
2051, 7.142857e-01, 7.142857e-02, 6.428571e-01
2052, 7.857143e-01, 7.142857e-02, 6.428571e-01
2053, 8.571429e-01, 7.142857e-02, 6.428571e-01
2054, 9.285714e-01, 7.142857e-02, 6.428571e-01
2055, 1.000000e+00, 7.142857e-02, 6.428571e-01
2056, 0.000000e+00, 1.428571e-01, 6.428571e-01
2057, 7.142857e-02, 1.428571e-01, 6.428571e-01
2058, 1.428571e-01, 1.428571e-01, 6.428571e-01
2059, 2.142857e-01, 1.428571e-01, 6.428571e-01
2060, 2.857143e-01, 1.428571e-01, 6.428571e-01
2061, 3.571429e-01, 1.428571e-01, 6.428571e-01
2062, 4.285714e-01, 1.428571e-01, 6.428571e-01
2063, 5.000000e-01, 1.428571e-01, 6.428571e-01
2064, 5.714286e-01, 1.428571e-01, 6.428571e-01
2065, 6.428571e-01, 1.428571e-01, 6.428571e-01
2066, 7.142857e-01, 1.428571e-01, 6.428571e-01
2067, 7.857143e-01, 1.428571e-01, 6.428571e-01
2068, 8.571429e-01, 1.428571e-01, 6.428571e-01
2069, 9.285714e-01, 1.428571e-01, 6.428571e-01
2070, 1.000000e+00, 1.428571e-01, 6.428571e-01
2071, 0.000000e+00, 2.142857e-01, 6.428571e-01
2072, 7.142857e-02, 2.142857e-01, 6.428571e-01
2073, 1.428571e-01, 2.142857e-01, 6.428571e-01
2074, 2.142857e-01, 2.142857e-01, 6.428571e-01
2075, 2.857143e-01, 2.142857e-01, 6.428571e-01
2076, 3.571429e-01, 2.142857e-01, 6.428571e-01
2077, 4.285714e-01, 2.142857e-01, 6.428571e-01
2078, 5.000000e-01, 2.142857e-01, 6.428571e-01
2079, 5.714286e-01, 2.142857e-01, 6.428571e-01
2080, 6.428571e-01, 2.142857e-01, 6.428571e-01
2081, 7.142857e-01, 2.142857e-01, 6.428571e-01
2082, 7.857143e-01, 2.142857e-01, 6.428571e-01
2083, 8.571429e-01, 2.142857e-01, 6.428571e-01
2084, 9.285714e-01, 2.142857e-01, 6.428571e-01
2085, 1.000000e+00, 2.142857e-01, 6.428571e-01
2086, 0.000000e+00, 2.857143e-01, 6.428571e-01
2087, 7.142857e-02, 2.857143e-01, 6.428571e-01
2088, 1.428571e-01, 2.857143e-01, 6.428571e-01
2089, 2.142857e-01, 2.857143e-01, 6.428571e-01
2090, 2.857143e-01, 2.857143e-01, 6.428571e-01
2091, 3.571429e-01, 2.857143e-01, 6.428571e-01
2092, 4.285714e-01, 2.857143e-01, 6.428571e-01
2093, 5.000000e-01, 2.857143e-01, 6.428571e-01
2094, 5.714286e-01, 2.857143e-01, 6.428571e-01
2095, 6.428571e-01, 2.857143e-01, 6.428571e-01
2096, 7.142857e-01, 2.857143e-01, 6.428571e-01
2097, 7.857143e-01, 2.857143e-01, 6.428571e-01
2098, 8.571429e-01, 2.857143e-01, 6.428571e-01
2099, 9.285714e-01, 2.857143e-01, 6.428571e-01
2100, 1.000000e+00, 2.857143e-01, 6.428571e-01
2101, 0.000000e+00, 3.571429e-01, 6.428571e-01
2102, 7.142857e-02, 3.571429e-01, 6.428571e-01
2103, 1.428571e-01, 3.571429e-01, 6.428571e-01
2104, 2.142857e-01, 3.571429e-01, 6.428571e-01
2105, 2.857143e-01, 3.571429e-01, 6.428571e-01
2106, 3.571429e-01, 3.571429e-01, 6.428571e-01
2107, 4.285714e-01, 3.571429e-01, 6.428571e-01
2108, 5.000000e-01, 3.571429e-01, 6.428571e-01
2109, 5.714286e-01, 3.571429e-01, 6.428571e-01
2110, 6.428571e-01, 3.571429e-01, 6.428571e-01
2111, 7.142857e-01, 3.571429e-01, 6.428571e-01
2112, 7.857143e-01, 3.571429e-01, 6.428571e-01
2113, 8.571429e-01, 3.571429e-01, 6.428571e-01
2114, 9.285714e-01, 3.571429e-01, 6.428571e-01
2115, 1.000000e+00, 3.571429e-01, 6.428571e-01
2116, 0.000000e+00, 4.285714e-01, 6.428571e-01
2117, 7.142857e-02, 4.285714e-01, 6.428571e-01
2118, 1.428571e-01, 4.285714e-01, 6.428571e-01
2119, 2.142857e-01, 4.285714e-01, 6.428571e-01
2120, 2.857143e-01, 4.285714e-01, 6.428571e-01
2121, 3.571429e-01, 4.285714e-01, 6.428571e-01
2122, 4.285714e-01, 4.285714e-01, 6.428571e-01
2123, 5.000000e-01, 4.285714e-01, 6.428571e-01
2124, 5.714286e-01, 4.285714e-01, 6.428571e-01
2125, 6.428571e-01, 4.285714e-01, 6.428571e-01
2126, 7.142857e-01, 4.285714e-01, 6.428571e-01
2127, 7.857143e-01, 4.285714e-01, 6.428571e-01
2128, 8.571429e-01, 4.285714e-01, 6.428571e-01
2129, 9.285714e-01, 4.285714e-01, 6.428571e-01
2130, 1.000000e+00, 4.285714e-01, 6.428571e-01
2131, 0.000000e+00, 5.000000e-01, 6.428571e-01
2132, 7.142857e-02, 5.000000e-01, 6.428571e-01
2133, 1.428571e-01, 5.000000e-01, 6.428571e-01
2134, 2.142857e-01, 5.000000e-01, 6.428571e-01
2135, 2.857143e-01, 5.000000e-01, 6.428571e-01
2136, 3.571429e-01, 5.000000e-01, 6.428571e-01
2137, 4.285714e-01, 5.000000e-01, 6.428571e-01
2138, 5.000000e-01, 5.000000e-01, 6.428571e-01
2139, 5.714286e-01, 5.000000e-01, 6.428571e-01
2140, 6.428571e-01, 5.000000e-01, 6.428571e-01
2141, 7.142857e-01, 5.000000e-01, 6.428571e-01
2142, 7.857143e-01, 5.000000e-01, 6.428571e-01
2143, 8.571429e-01, 5.000000e-01, 6.428571e-01
2144, 9.285714e-01, 5.000000e-01, 6.428571e-01
2145, 1.000000e+00, 5.000000e-01, 6.428571e-01
2146, 0.000000e+00, 5.714286e-01, 6.428571e-01
2147, 7.142857e-02, 5.714286e-01, 6.428571e-01
2148, 1.428571e-01, 5.714286e-01, 6.428571e-01
2149, 2.142857e-01, 5.714286e-01, 6.428571e-01
2150, 2.857143e-01, 5.714286e-01, 6.428571e-01
2151, 3.571429e-01, 5.714286e-01, 6.428571e-01
2152, 4.285714e-01, 5.714286e-01, 6.428571e-01
2153, 5.000000e-01, 5.714286e-01, 6.428571e-01
2154, 5.714286e-01, 5.714286e-01, 6.428571e-01
2155, 6.428571e-01, 5.714286e-01, 6.428571e-01
2156, 7.142857e-01, 5.714286e-01, 6.428571e-01
2157, 7.857143e-01, 5.714286e-01, 6.428571e-01
2158, 8.571429e-01, 5.714286e-01, 6.428571e-01
2159, 9.285714e-01, 5.714286e-01, 6.428571e-01
2160, 1.000000e+00, 5.714286e-01, 6.428571e-01
2161, 0.000000e+00, 6.428571e-01, 6.428571e-01
2162, 7.142857e-02, 6.428571e-01, 6.428571e-01
2163, 1.428571e-01, 6.428571e-01, 6.428571e-01
2164, 2.142857e-01, 6.428571e-01, 6.428571e-01
2165, 2.857143e-01, 6.428571e-01, 6.428571e-01
2166, 3.571429e-01, 6.428571e-01, 6.428571e-01
2167, 4.285714e-01, 6.428571e-01, 6.428571e-01
2168, 5.000000e-01, 6.428571e-01, 6.428571e-01
2169, 5.714286e-01, 6.428571e-01, 6.428571e-01
2170, 6.428571e-01, 6.428571e-01, 6.428571e-01
2171, 7.142857e-01, 6.428571e-01, 6.428571e-01
2172, 7.857143e-01, 6.428571e-01, 6.428571e-01
2173, 8.571429e-01, 6.428571e-01, 6.428571e-01
2174, 9.285714e-01, 6.428571e-01, 6.428571e-01
2175, 1.000000e+00, 6.428571e-01, 6.428571e-01
2176, 0.000000e+00, 7.142857e-01, 6.428571e-01
2177, 7.142857e-02, 7.142857e-01, 6.428571e-01
2178, 1.428571e-01, 7.142857e-01, 6.428571e-01
2179, 2.142857e-01, 7.142857e-01, 6.428571e-01
2180, 2.857143e-01, 7.142857e-01, 6.428571e-01
2181, 3.571429e-01, 7.142857e-01, 6.428571e-01
2182, 4.285714e-01, 7.142857e-01, 6.428571e-01
2183, 5.000000e-01, 7.142857e-01, 6.428571e-01
2184, 5.714286e-01, 7.142857e-01, 6.428571e-01
2185, 6.428571e-01, 7.142857e-01, 6.428571e-01
2186, 7.142857e-01, 7.142857e-01, 6.428571e-01
2187, 7.857143e-01, 7.142857e-01, 6.428571e-01
2188, 8.571429e-01, 7.142857e-01, 6.428571e-01
2189, 9.285714e-01, 7.142857e-01, 6.428571e-01
2190, 1.000000e+00, 7.142857e-01, 6.428571e-01
2191, 0.000000e+00, 7.857143e-01, 6.428571e-01
2192, 7.142857e-02, 7.857143e-01, 6.428571e-01
2193, 1.428571e-01, 7.857143e-01, 6.428571e-01
2194, 2.142857e-01, 7.857143e-01, 6.428571e-01
2195, 2.857143e-01, 7.857143e-01, 6.428571e-01
2196, 3.571429e-01, 7.857143e-01, 6.428571e-01
2197, 4.285714e-01, 7.857143e-01, 6.428571e-01
2198, 5.000000e-01, 7.857143e-01, 6.428571e-01
2199, 5.714286e-01, 7.857143e-01, 6.428571e-01
2200, 6.428571e-01, 7.857143e-01, 6.428571e-01
2201, 7.142857e-01, 7.857143e-01, 6.428571e-01
2202, 7.857143e-01, 7.857143e-01, 6.428571e-01
2203, 8.571429e-01, 7.857143e-01, 6.428571e-01
2204, 9.285714e-01, 7.857143e-01, 6.428571e-01
2205, 1.000000e+00, 7.857143e-01, 6.428571e-01
2206, 0.000000e+00, 8.571429e-01, 6.428571e-01
2207, 7.142857e-02, 8.571429e-01, 6.428571e-01
2208, 1.428571e-01, 8.571429e-01, 6.428571e-01
2209, 2.142857e-01, 8.571429e-01, 6.428571e-01
2210, 2.857143e-01, 8.571429e-01, 6.428571e-01
2211, 3.571429e-01, 8.571429e-01, 6.428571e-01
2212, 4.285714e-01, 8.571429e-01, 6.428571e-01
2213, 5.000000e-01, 8.571429e-01, 6.428571e-01
2214, 5.714286e-01, 8.571429e-01, 6.428571e-01
2215, 6.428571e-01, 8.571429e-01, 6.428571e-01
2216, 7.142857e-01, 8.571429e-01, 6.428571e-01
2217, 7.857143e-01, 8.571429e-01, 6.428571e-01
2218, 8.571429e-01, 8.571429e-01, 6.428571e-01
2219, 9.285714e-01, 8.571429e-01, 6.428571e-01
2220, 1.000000e+00, 8.571429e-01, 6.428571e-01
2221, 0.000000e+00, 9.285714e-01, 6.428571e-01
2222, 7.142857e-02, 9.285714e-01, 6.428571e-01
2223, 1.428571e-01, 9.285714e-01, 6.428571e-01
2224, 2.142857e-01, 9.285714e-01, 6.428571e-01
2225, 2.857143e-01, 9.285714e-01, 6.428571e-01
2226, 3.571429e-01, 9.285714e-01, 6.428571e-01
2227, 4.285714e-01, 9.285714e-01, 6.428571e-01
2228, 5.000000e-01, 9.285714e-01, 6.428571e-01
2229, 5.714286e-01, 9.285714e-01, 6.428571e-01
2230, 6.428571e-01, 9.285714e-01, 6.428571e-01
2231, 7.142857e-01, 9.285714e-01, 6.428571e-01
2232, 7.857143e-01, 9.285714e-01, 6.428571e-01
2233, 8.571429e-01, 9.285714e-01, 6.428571e-01
2234, 9.285714e-01, 9.285714e-01, 6.428571e-01
2235, 1.000000e+00, 9.285714e-01, 6.428571e-01
2236, 0.000000e+00, 1.000000e+00, 6.428571e-01
2237, 7.142857e-02, 1.000000e+00, 6.428571e-01
2238, 1.428571e-01, 1.000000e+00, 6.428571e-01
2239, 2.142857e-01, 1.000000e+00, 6.428571e-01
2240, 2.857143e-01, 1.000000e+00, 6.428571e-01
2241, 3.571429e-01, 1.000000e+00, 6.428571e-01
2242, 4.285714e-01, 1.000000e+00, 6.428571e-01
2243, 5.000000e-01, 1.000000e+00, 6.428571e-01
2244, 5.714286e-01, 1.000000e+00, 6.428571e-01
2245, 6.428571e-01, 1.000000e+00, 6.428571e-01
2246, 7.142857e-01, 1.000000e+00, 6.428571e-01
2247, 7.857143e-01, 1.000000e+00, 6.428571e-01
2248, 8.571429e-01, 1.000000e+00, 6.428571e-01
2249, 9.285714e-01, 1.000000e+00, 6.428571e-01
2250, 1.000000e+00, 1.000000e+00, 6.428571e-01
2251, 0.000000e+00, 0.000000e+00, 7.142857e-01
2252, 7.142857e-02, 0.000000e+00, 7.142857e-01
2253, 1.428571e-01, 0.000000e+00, 7.142857e-01
2254, 2.142857e-01, 0.000000e+00, 7.142857e-01
2255, 2.857143e-01, 0.000000e+00, 7.142857e-01
2256, 3.571429e-01, 0.000000e+00, 7.142857e-01
2257, 4.285714e-01, 0.000000e+00, 7.142857e-01
2258, 5.000000e-01, 0.000000e+00, 7.142857e-01
2259, 5.714286e-01, 0.000000e+00, 7.142857e-01
2260, 6.428571e-01, 0.000000e+00, 7.142857e-01
2261, 7.142857e-01, 0.000000e+00, 7.142857e-01
2262, 7.857143e-01, 0.000000e+00, 7.142857e-01
2263, 8.571429e-01, 0.000000e+00, 7.142857e-01
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2540, 2.857143e-01, 2.857143e-01, 7.857143e-01
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2542, 4.285714e-01, 2.857143e-01, 7.857143e-01
2543, 5.000000e-01, 2.857143e-01, 7.857143e-01
2544, 5.714286e-01, 2.857143e-01, 7.857143e-01
2545, 6.428571e-01, 2.857143e-01, 7.857143e-01
2546, 7.142857e-01, 2.857143e-01, 7.857143e-01
2547, 7.857143e-01, 2.857143e-01, 7.857143e-01
2548, 8.571429e-01, 2.857143e-01, 7.857143e-01
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2553, 1.428571e-01, 3.571429e-01, 7.857143e-01
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2555, 2.857143e-01, 3.571429e-01, 7.857143e-01
2556, 3.571429e-01, 3.571429e-01, 7.857143e-01
2557, 4.285714e-01, 3.571429e-01, 7.857143e-01
2558, 5.000000e-01, 3.571429e-01, 7.857143e-01
2559, 5.714286e-01, 3.571429e-01, 7.857143e-01
2560, 6.428571e-01, 3.571429e-01, 7.857143e-01
2561, 7.142857e-01, 3.571429e-01, 7.857143e-01
2562, 7.857143e-01, 3.571429e-01, 7.857143e-01
2563, 8.571429e-01, 3.571429e-01, 7.857143e-01
2564, 9.285714e-01, 3.571429e-01, 7.857143e-01
2565, 1.000000e+00, 3.571429e-01, 7.857143e-01
2566, 0.000000e+00, 4.285714e-01, 7.857143e-01
2567, 7.142857e-02, 4.285714e-01, 7.857143e-01
2568, 1.428571e-01, 4.285714e-01, 7.857143e-01
2569, 2.142857e-01, 4.285714e-01, 7.857143e-01
2570, 2.857143e-01, 4.285714e-01, 7.857143e-01
2571, 3.571429e-01, 4.285714e-01, 7.857143e-01
2572, 4.285714e-01, 4.285714e-01, 7.857143e-01
2573, 5.000000e-01, 4.285714e-01, 7.857143e-01
2574, 5.714286e-01, 4.285714e-01, 7.857143e-01
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2576, 7.142857e-01, 4.285714e-01, 7.857143e-01
2577, 7.857143e-01, 4.285714e-01, 7.857143e-01
2578, 8.571429e-01, 4.285714e-01, 7.857143e-01
2579, 9.285714e-01, 4.285714e-01, 7.857143e-01
2580, 1.000000e+00, 4.285714e-01, 7.857143e-01
2581, 0.000000e+00, 5.000000e-01, 7.857143e-01
2582, 7.142857e-02, 5.000000e-01, 7.857143e-01
2583, 1.428571e-01, 5.000000e-01, 7.857143e-01
2584, 2.142857e-01, 5.000000e-01, 7.857143e-01
2585, 2.857143e-01, 5.000000e-01, 7.857143e-01
2586, 3.571429e-01, 5.000000e-01, 7.857143e-01
2587, 4.285714e-01, 5.000000e-01, 7.857143e-01
2588, 5.000000e-01, 5.000000e-01, 7.857143e-01
2589, 5.714286e-01, 5.000000e-01, 7.857143e-01
2590, 6.428571e-01, 5.000000e-01, 7.857143e-01
2591, 7.142857e-01, 5.000000e-01, 7.857143e-01
2592, 7.857143e-01, 5.000000e-01, 7.857143e-01
2593, 8.571429e-01, 5.000000e-01, 7.857143e-01
2594, 9.285714e-01, 5.000000e-01, 7.857143e-01
2595, 1.000000e+00, 5.000000e-01, 7.857143e-01
2596, 0.000000e+00, 5.714286e-01, 7.857143e-01
2597, 7.142857e-02, 5.714286e-01, 7.857143e-01
2598, 1.428571e-01, 5.714286e-01, 7.857143e-01
2599, 2.142857e-01, 5.714286e-01, 7.857143e-01
2600, 2.857143e-01, 5.714286e-01, 7.857143e-01
2601, 3.571429e-01, 5.714286e-01, 7.857143e-01
2602, 4.285714e-01, 5.714286e-01, 7.857143e-01
2603, 5.000000e-01, 5.714286e-01, 7.857143e-01
2604, 5.714286e-01, 5.714286e-01, 7.857143e-01
2605, 6.428571e-01, 5.714286e-01, 7.857143e-01
2606, 7.142857e-01, 5.714286e-01, 7.857143e-01
2607, 7.857143e-01, 5.714286e-01, 7.857143e-01
2608, 8.571429e-01, 5.714286e-01, 7.857143e-01
2609, 9.285714e-01, 5.714286e-01, 7.857143e-01
2610, 1.000000e+00, 5.714286e-01, 7.857143e-01
2611, 0.000000e+00, 6.428571e-01, 7.857143e-01
2612, 7.142857e-02, 6.428571e-01, 7.857143e-01
2613, 1.428571e-01, 6.428571e-01, 7.857143e-01
2614, 2.142857e-01, 6.428571e-01, 7.857143e-01
2615, 2.857143e-01, 6.428571e-01, 7.857143e-01
2616, 3.571429e-01, 6.428571e-01, 7.857143e-01
2617, 4.285714e-01, 6.428571e-01, 7.857143e-01
2618, 5.000000e-01, 6.428571e-01, 7.857143e-01
2619, 5.714286e-01, 6.428571e-01, 7.857143e-01
2620, 6.428571e-01, 6.428571e-01, 7.857143e-01
2621, 7.142857e-01, 6.428571e-01, 7.857143e-01
2622, 7.857143e-01, 6.428571e-01, 7.857143e-01
2623, 8.571429e-01, 6.428571e-01, 7.857143e-01
2624, 9.285714e-01, 6.428571e-01, 7.857143e-01
2625, 1.000000e+00, 6.428571e-01, 7.857143e-01
2626, 0.000000e+00, 7.142857e-01, 7.857143e-01
2627, 7.142857e-02, 7.142857e-01, 7.857143e-01
2628, 1.428571e-01, 7.142857e-01, 7.857143e-01
2629, 2.142857e-01, 7.142857e-01, 7.857143e-01
2630, 2.857143e-01, 7.142857e-01, 7.857143e-01
2631, 3.571429e-01, 7.142857e-01, 7.857143e-01
2632, 4.285714e-01, 7.142857e-01, 7.857143e-01
2633, 5.000000e-01, 7.142857e-01, 7.857143e-01
2634, 5.714286e-01, 7.142857e-01, 7.857143e-01
2635, 6.428571e-01, 7.142857e-01, 7.857143e-01
2636, 7.142857e-01, 7.142857e-01, 7.857143e-01
2637, 7.857143e-01, 7.142857e-01, 7.857143e-01
2638, 8.571429e-01, 7.142857e-01, 7.857143e-01
2639, 9.285714e-01, 7.142857e-01, 7.857143e-01
2640, 1.000000e+00, 7.142857e-01, 7.857143e-01
2641, 0.000000e+00, 7.857143e-01, 7.857143e-01
2642, 7.142857e-02, 7.857143e-01, 7.857143e-01
2643, 1.428571e-01, 7.857143e-01, 7.857143e-01
2644, 2.142857e-01, 7.857143e-01, 7.857143e-01
2645, 2.857143e-01, 7.857143e-01, 7.857143e-01
2646, 3.571429e-01, 7.857143e-01, 7.857143e-01
2647, 4.285714e-01, 7.857143e-01, 7.857143e-01
2648, 5.000000e-01, 7.857143e-01, 7.857143e-01
2649, 5.714286e-01, 7.857143e-01, 7.857143e-01
2650, 6.428571e-01, 7.857143e-01, 7.857143e-01
2651, 7.142857e-01, 7.857143e-01, 7.857143e-01
2652, 7.857143e-01, 7.857143e-01, 7.857143e-01
2653, 8.571429e-01, 7.857143e-01, 7.857143e-01
2654, 9.285714e-01, 7.857143e-01, 7.857143e-01
2655, 1.000000e+00, 7.857143e-01, 7.857143e-01
2656, 0.000000e+00, 8.571429e-01, 7.857143e-01
2657, 7.142857e-02, 8.571429e-01, 7.857143e-01
2658, 1.428571e-01, 8.571429e-01, 7.857143e-01
2659, 2.142857e-01, 8.571429e-01, 7.857143e-01
2660, 2.857143e-01, 8.571429e-01, 7.857143e-01
2661, 3.571429e-01, 8.571429e-01, 7.857143e-01
2662, 4.285714e-01, 8.571429e-01, 7.857143e-01
2663, 5.000000e-01, 8.571429e-01, 7.857143e-01
2664, 5.714286e-01, 8.571429e-01, 7.857143e-01
2665, 6.428571e-01, 8.571429e-01, 7.857143e-01
2666, 7.142857e-01, 8.571429e-01, 7.857143e-01
2667, 7.857143e-01, 8.571429e-01, 7.857143e-01
2668, 8.571429e-01, 8.571429e-01, 7.857143e-01
2669, 9.285714e-01, 8.571429e-01, 7.857143e-01
2670, 1.000000e+00, 8.571429e-01, 7.857143e-01
2671, 0.000000e+00, 9.285714e-01, 7.857143e-01
2672, 7.142857e-02, 9.285714e-01, 7.857143e-01
2673, 1.428571e-01, 9.285714e-01, 7.857143e-01
2674, 2.142857e-01, 9.285714e-01, 7.857143e-01
2675, 2.857143e-01, 9.285714e-01, 7.857143e-01
2676, 3.571429e-01, 9.285714e-01, 7.857143e-01
2677, 4.285714e-01, 9.285714e-01, 7.857143e-01
2678, 5.000000e-01, 9.285714e-01, 7.857143e-01
2679, 5.714286e-01, 9.285714e-01, 7.857143e-01
2680, 6.428571e-01, 9.285714e-01, 7.857143e-01
2681, 7.142857e-01, 9.285714e-01, 7.857143e-01
2682, 7.857143e-01, 9.285714e-01, 7.857143e-01
2683, 8.571429e-01, 9.285714e-01, 7.857143e-01
2684, 9.285714e-01, 9.285714e-01, 7.857143e-01
2685, 1.000000e+00, 9.285714e-01, 7.857143e-01
2686, 0.000000e+00, 1.000000e+00, 7.857143e-01
2687, 7.142857e-02, 1.000000e+00, 7.857143e-01
2688, 1.428571e-01, 1.000000e+00, 7.857143e-01
2689, 2.142857e-01, 1.000000e+00, 7.857143e-01
2690, 2.857143e-01, 1.000000e+00, 7.857143e-01
2691, 3.571429e-01, 1.000000e+00, 7.857143e-01
2692, 4.285714e-01, 1.000000e+00, 7.857143e-01
2693, 5.000000e-01, 1.000000e+00, 7.857143e-01
2694, 5.714286e-01, 1.000000e+00, 7.857143e-01
2695, 6.428571e-01, 1.000000e+00, 7.857143e-01
2696, 7.142857e-01, 1.000000e+00, 7.857143e-01
2697, 7.857143e-01, 1.000000e+00, 7.857143e-01
2698, 8.571429e-01, 1.000000e+00, 7.857143e-01
2699, 9.285714e-01, 1.000000e+00, 7.857143e-01
2700, 1.000000e+00, 1.000000e+00, 7.857143e-01
2701, 0.000000e+00, 0.000000e+00, 8.571429e-01
2702, 7.142857e-02, 0.000000e+00, 8.571429e-01
2703, 1.428571e-01, 0.000000e+00, 8.571429e-01
2704, 2.142857e-01, 0.000000e+00, 8.571429e-01
2705, 2.857143e-01, 0.000000e+00, 8.571429e-01
2706, 3.571429e-01, 0.000000e+00, 8.571429e-01
2707, 4.285714e-01, 0.000000e+00, 8.571429e-01
2708, 5.000000e-01, 0.000000e+00, 8.571429e-01
2709, 5.714286e-01, 0.000000e+00, 8.571429e-01
2710, 6.428571e-01, 0.000000e+00, 8.571429e-01
2711, 7.142857e-01, 0.000000e+00, 8.571429e-01
2712, 7.857143e-01, 0.000000e+00, 8.571429e-01
2713, 8.571429e-01, 0.000000e+00, 8.571429e-01
2714, 9.285714e-01, 0.000000e+00, 8.571429e-01
2715, 1.000000e+00, 0.000000e+00, 8.571429e-01
2716, 0.000000e+00, 7.142857e-02, 8.571429e-01
2717, 7.142857e-02, 7.142857e-02, 8.571429e-01
2718, 1.428571e-01, 7.142857e-02, 8.571429e-01
2719, 2.142857e-01, 7.142857e-02, 8.571429e-01
2720, 2.857143e-01, 7.142857e-02, 8.571429e-01
2721, 3.571429e-01, 7.142857e-02, 8.571429e-01
2722, 4.285714e-01, 7.142857e-02, 8.571429e-01
2723, 5.000000e-01, 7.142857e-02, 8.571429e-01
2724, 5.714286e-01, 7.142857e-02, 8.571429e-01
2725, 6.428571e-01, 7.142857e-02, 8.571429e-01
2726, 7.142857e-01, 7.142857e-02, 8.571429e-01
2727, 7.857143e-01, 7.142857e-02, 8.571429e-01
2728, 8.571429e-01, 7.142857e-02, 8.571429e-01
2729, 9.285714e-01, 7.142857e-02, 8.571429e-01
2730, 1.000000e+00, 7.142857e-02, 8.571429e-01
2731, 0.000000e+00, 1.428571e-01, 8.571429e-01
2732, 7.142857e-02, 1.428571e-01, 8.571429e-01
2733, 1.428571e-01, 1.428571e-01, 8.571429e-01
2734, 2.142857e-01, 1.428571e-01, 8.571429e-01
2735, 2.857143e-01, 1.428571e-01, 8.571429e-01
2736, 3.571429e-01, 1.428571e-01, 8.571429e-01
2737, 4.285714e-01, 1.428571e-01, 8.571429e-01
2738, 5.000000e-01, 1.428571e-01, 8.571429e-01
2739, 5.714286e-01, 1.428571e-01, 8.571429e-01
2740, 6.428571e-01, 1.428571e-01, 8.571429e-01
2741, 7.142857e-01, 1.428571e-01, 8.571429e-01
2742, 7.857143e-01, 1.428571e-01, 8.571429e-01
2743, 8.571429e-01, 1.428571e-01, 8.571429e-01
2744, 9.285714e-01, 1.428571e-01, 8.571429e-01
2745, 1.000000e+00, 1.428571e-01, 8.571429e-01
2746, 0.000000e+00, 2.142857e-01, 8.571429e-01
2747, 7.142857e-02, 2.142857e-01, 8.571429e-01
2748, 1.428571e-01, 2.142857e-01, 8.571429e-01
2749, 2.142857e-01, 2.142857e-01, 8.571429e-01
2750, 2.857143e-01, 2.142857e-01, 8.571429e-01
2751, 3.571429e-01, 2.142857e-01, 8.571429e-01
2752, 4.285714e-01, 2.142857e-01, 8.571429e-01
2753, 5.000000e-01, 2.142857e-01, 8.571429e-01
2754, 5.714286e-01, 2.142857e-01, 8.571429e-01
2755, 6.428571e-01, 2.142857e-01, 8.571429e-01
2756, 7.142857e-01, 2.142857e-01, 8.571429e-01
2757, 7.857143e-01, 2.142857e-01, 8.571429e-01
2758, 8.571429e-01, 2.142857e-01, 8.571429e-01
2759, 9.285714e-01, 2.142857e-01, 8.571429e-01
2760, 1.000000e+00, 2.142857e-01, 8.571429e-01
2761, 0.000000e+00, 2.857143e-01, 8.571429e-01
2762, 7.142857e-02, 2.857143e-01, 8.571429e-01
2763, 1.428571e-01, 2.857143e-01, 8.571429e-01
2764, 2.142857e-01, 2.857143e-01, 8.571429e-01
2765, 2.857143e-01, 2.857143e-01, 8.571429e-01
2766, 3.571429e-01, 2.857143e-01, 8.571429e-01
2767, 4.285714e-01, 2.857143e-01, 8.571429e-01
2768, 5.000000e-01, 2.857143e-01, 8.571429e-01
2769, 5.714286e-01, 2.857143e-01, 8.571429e-01
2770, 6.428571e-01, 2.857143e-01, 8.571429e-01
2771, 7.142857e-01, 2.857143e-01, 8.571429e-01
2772, 7.857143e-01, 2.857143e-01, 8.571429e-01
2773, 8.571429e-01, 2.857143e-01, 8.571429e-01
2774, 9.285714e-01, 2.857143e-01, 8.571429e-01
2775, 1.000000e+00, 2.857143e-01, 8.571429e-01
2776, 0.000000e+00, 3.571429e-01, 8.571429e-01
2777, 7.142857e-02, 3.571429e-01, 8.571429e-01
2778, 1.428571e-01, 3.571429e-01, 8.571429e-01
2779, 2.142857e-01, 3.571429e-01, 8.571429e-01
2780, 2.857143e-01, 3.571429e-01, 8.571429e-01
2781, 3.571429e-01, 3.571429e-01, 8.571429e-01
2782, 4.285714e-01, 3.571429e-01, 8.571429e-01
2783, 5.000000e-01, 3.571429e-01, 8.571429e-01
2784, 5.714286e-01, 3.571429e-01, 8.571429e-01
2785, 6.428571e-01, 3.571429e-01, 8.571429e-01
2786, 7.142857e-01, 3.571429e-01, 8.571429e-01
2787, 7.857143e-01, 3.571429e-01, 8.571429e-01
2788, 8.571429e-01, 3.571429e-01, 8.571429e-01
2789, 9.285714e-01, 3.571429e-01, 8.571429e-01
2790, 1.000000e+00, 3.571429e-01, 8.571429e-01
2791, 0.000000e+00, 4.285714e-01, 8.571429e-01
2792, 7.142857e-02, 4.285714e-01, 8.571429e-01
2793, 1.428571e-01, 4.285714e-01, 8.571429e-01
2794, 2.142857e-01, 4.285714e-01, 8.571429e-01
2795, 2.857143e-01, 4.285714e-01, 8.571429e-01
2796, 3.571429e-01, 4.285714e-01, 8.571429e-01
2797, 4.285714e-01, 4.285714e-01, 8.571429e-01
2798, 5.000000e-01, 4.285714e-01, 8.571429e-01
2799, 5.714286e-01, 4.285714e-01, 8.571429e-01
2800, 6.428571e-01, 4.285714e-01, 8.571429e-01
2801, 7.142857e-01, 4.285714e-01, 8.571429e-01
2802, 7.857143e-01, 4.285714e-01, 8.571429e-01
2803, 8.571429e-01, 4.285714e-01, 8.571429e-01
2804, 9.285714e-01, 4.285714e-01, 8.571429e-01
2805, 1.000000e+00, 4.285714e-01, 8.571429e-01
2806, 0.000000e+00, 5.000000e-01, 8.571429e-01
2807, 7.142857e-02, 5.000000e-01, 8.571429e-01
2808, 1.428571e-01, 5.000000e-01, 8.571429e-01
2809, 2.142857e-01, 5.000000e-01, 8.571429e-01
2810, 2.857143e-01, 5.000000e-01, 8.571429e-01
2811, 3.571429e-01, 5.000000e-01, 8.571429e-01
2812, 4.285714e-01, 5.000000e-01, 8.571429e-01
2813, 5.000000e-01, 5.000000e-01, 8.571429e-01
2814, 5.714286e-01, 5.000000e-01, 8.571429e-01
2815, 6.428571e-01, 5.000000e-01, 8.571429e-01
2816, 7.142857e-01, 5.000000e-01, 8.571429e-01
2817, 7.857143e-01, 5.000000e-01, 8.571429e-01
2818, 8.571429e-01, 5.000000e-01, 8.571429e-01
2819, 9.285714e-01, 5.000000e-01, 8.571429e-01
2820, 1.000000e+00, 5.000000e-01, 8.571429e-01
2821, 0.000000e+00, 5.714286e-01, 8.571429e-01
2822, 7.142857e-02, 5.714286e-01, 8.571429e-01
2823, 1.428571e-01, 5.714286e-01, 8.571429e-01
2824, 2.142857e-01, 5.714286e-01, 8.571429e-01
2825, 2.857143e-01, 5.714286e-01, 8.571429e-01
2826, 3.571429e-01, 5.714286e-01, 8.571429e-01
2827, 4.285714e-01, 5.714286e-01, 8.571429e-01
2828, 5.000000e-01, 5.714286e-01, 8.571429e-01
2829, 5.714286e-01, 5.714286e-01, 8.571429e-01
2830, 6.428571e-01, 5.714286e-01, 8.571429e-01
2831, 7.142857e-01, 5.714286e-01, 8.571429e-01
2832, 7.857143e-01, 5.714286e-01, 8.571429e-01
2833, 8.571429e-01, 5.714286e-01, 8.571429e-01
2834, 9.285714e-01, 5.714286e-01, 8.571429e-01
2835, 1.000000e+00, 5.714286e-01, 8.571429e-01
2836, 0.000000e+00, 6.428571e-01, 8.571429e-01
2837, 7.142857e-02, 6.428571e-01, 8.571429e-01
2838, 1.428571e-01, 6.428571e-01, 8.571429e-01
2839, 2.142857e-01, 6.428571e-01, 8.571429e-01
2840, 2.857143e-01, 6.428571e-01, 8.571429e-01
2841, 3.571429e-01, 6.428571e-01, 8.571429e-01
2842, 4.285714e-01, 6.428571e-01, 8.571429e-01
2843, 5.000000e-01, 6.428571e-01, 8.571429e-01
2844, 5.714286e-01, 6.428571e-01, 8.571429e-01
2845, 6.428571e-01, 6.428571e-01, 8.571429e-01
2846, 7.142857e-01, 6.428571e-01, 8.571429e-01
2847, 7.857143e-01, 6.428571e-01, 8.571429e-01
2848, 8.571429e-01, 6.428571e-01, 8.571429e-01
2849, 9.285714e-01, 6.428571e-01, 8.571429e-01
2850, 1.000000e+00, 6.428571e-01, 8.571429e-01
2851, 0.000000e+00, 7.142857e-01, 8.571429e-01
2852, 7.142857e-02, 7.142857e-01, 8.571429e-01
2853, 1.428571e-01, 7.142857e-01, 8.571429e-01
2854, 2.142857e-01, 7.142857e-01, 8.571429e-01
2855, 2.857143e-01, 7.142857e-01, 8.571429e-01
2856, 3.571429e-01, 7.142857e-01, 8.571429e-01
2857, 4.285714e-01, 7.142857e-01, 8.571429e-01
2858, 5.000000e-01, 7.142857e-01, 8.571429e-01
2859, 5.714286e-01, 7.142857e-01, 8.571429e-01
2860, 6.428571e-01, 7.142857e-01, 8.571429e-01
2861, 7.142857e-01, 7.142857e-01, 8.571429e-01
2862, 7.857143e-01, 7.142857e-01, 8.571429e-01
2863, 8.571429e-01, 7.142857e-01, 8.571429e-01
2864, 9.285714e-01, 7.142857e-01, 8.571429e-01
2865, 1.000000e+00, 7.142857e-01, 8.571429e-01
2866, 0.000000e+00, 7.857143e-01, 8.571429e-01
2867, 7.142857e-02, 7.857143e-01, 8.571429e-01
2868, 1.428571e-01, 7.857143e-01, 8.571429e-01
2869, 2.142857e-01, 7.857143e-01, 8.571429e-01
2870, 2.857143e-01, 7.857143e-01, 8.571429e-01
2871, 3.571429e-01, 7.857143e-01, 8.571429e-01
2872, 4.285714e-01, 7.857143e-01, 8.571429e-01
2873, 5.000000e-01, 7.857143e-01, 8.571429e-01
2874, 5.714286e-01, 7.857143e-01, 8.571429e-01
2875, 6.428571e-01, 7.857143e-01, 8.571429e-01
2876, 7.142857e-01, 7.857143e-01, 8.571429e-01
2877, 7.857143e-01, 7.857143e-01, 8.571429e-01
2878, 8.571429e-01, 7.857143e-01, 8.571429e-01
2879, 9.285714e-01, 7.857143e-01, 8.571429e-01
2880, 1.000000e+00, 7.857143e-01, 8.571429e-01
2881, 0.000000e+00, 8.571429e-01, 8.571429e-01
2882, 7.142857e-02, 8.571429e-01, 8.571429e-01
2883, 1.428571e-01, 8.571429e-01, 8.571429e-01
2884, 2.142857e-01, 8.571429e-01, 8.571429e-01
2885, 2.857143e-01, 8.571429e-01, 8.571429e-01
2886, 3.571429e-01, 8.571429e-01, 8.571429e-01
2887, 4.285714e-01, 8.571429e-01, 8.571429e-01
2888, 5.000000e-01, 8.571429e-01, 8.571429e-01
2889, 5.714286e-01, 8.571429e-01, 8.571429e-01
2890, 6.428571e-01, 8.571429e-01, 8.571429e-01
2891, 7.142857e-01, 8.571429e-01, 8.571429e-01
2892, 7.857143e-01, 8.571429e-01, 8.571429e-01
2893, 8.571429e-01, 8.571429e-01, 8.571429e-01
2894, 9.285714e-01, 8.571429e-01, 8.571429e-01
2895, 1.000000e+00, 8.571429e-01, 8.571429e-01
2896, 0.000000e+00, 9.285714e-01, 8.571429e-01
2897, 7.142857e-02, 9.285714e-01, 8.571429e-01
2898, 1.428571e-01, 9.285714e-01, 8.571429e-01
2899, 2.142857e-01, 9.285714e-01, 8.571429e-01
2900, 2.857143e-01, 9.285714e-01, 8.571429e-01
2901, 3.571429e-01, 9.285714e-01, 8.571429e-01
2902, 4.285714e-01, 9.285714e-01, 8.571429e-01
2903, 5.000000e-01, 9.285714e-01, 8.571429e-01
2904, 5.714286e-01, 9.285714e-01, 8.571429e-01
2905, 6.428571e-01, 9.285714e-01, 8.571429e-01
2906, 7.142857e-01, 9.285714e-01, 8.571429e-01
2907, 7.857143e-01, 9.285714e-01, 8.571429e-01
2908, 8.571429e-01, 9.285714e-01, 8.571429e-01
2909, 9.285714e-01, 9.285714e-01, 8.571429e-01
2910, 1.000000e+00, 9.285714e-01, 8.571429e-01
2911, 0.000000e+00, 1.000000e+00, 8.571429e-01
2912, 7.142857e-02, 1.000000e+00, 8.571429e-01
2913, 1.428571e-01, 1.000000e+00, 8.571429e-01
2914, 2.142857e-01, 1.000000e+00, 8.571429e-01
2915, 2.857143e-01, 1.000000e+00, 8.571429e-01
2916, 3.571429e-01, 1.000000e+00, 8.571429e-01
2917, 4.285714e-01, 1.000000e+00, 8.571429e-01
2918, 5.000000e-01, 1.000000e+00, 8.571429e-01
2919, 5.714286e-01, 1.000000e+00, 8.571429e-01
2920, 6.428571e-01, 1.000000e+00, 8.571429e-01
2921, 7.142857e-01, 1.000000e+00, 8.571429e-01
2922, 7.857143e-01, 1.000000e+00, 8.571429e-01
2923, 8.571429e-01, 1.000000e+00, 8.571429e-01
2924, 9.285714e-01, 1.000000e+00, 8.571429e-01
2925, 1.000000e+00, 1.000000e+00, 8.571429e-01
2926, 0.000000e+00, 0.000000e+00, 9.285714e-01
2927, 7.142857e-02, 0.000000e+00, 9.285714e-01
2928, 1.428571e-01, 0.000000e+00, 9.285714e-01
2929, 2.142857e-01, 0.000000e+00, 9.285714e-01
2930, 2.857143e-01, 0.000000e+00, 9.285714e-01
2931, 3.571429e-01, 0.000000e+00, 9.285714e-01
2932, 4.285714e-01, 0.000000e+00, 9.285714e-01
2933, 5.000000e-01, 0.000000e+00, 9.285714e-01
2934, 5.714286e-01, 0.000000e+00, 9.285714e-01
2935, 6.428571e-01, 0.000000e+00, 9.285714e-01
2936, 7.142857e-01, 0.000000e+00, 9.285714e-01
2937, 7.857143e-01, 0.000000e+00, 9.285714e-01
2938, 8.571429e-01, 0.000000e+00, 9.285714e-01
2939, 9.285714e-01, 0.000000e+00, 9.285714e-01
2940, 1.000000e+00, 0.000000e+00, 9.285714e-01
2941, 0.000000e+00, 7.142857e-02, 9.285714e-01
2942, 7.142857e-02, 7.142857e-02, 9.285714e-01
2943, 1.428571e-01, 7.142857e-02, 9.285714e-01
2944, 2.142857e-01, 7.142857e-02, 9.285714e-01
2945, 2.857143e-01, 7.142857e-02, 9.285714e-01
2946, 3.571429e-01, 7.142857e-02, 9.285714e-01
2947, 4.285714e-01, 7.142857e-02, 9.285714e-01
2948, 5.000000e-01, 7.142857e-02, 9.285714e-01
2949, 5.714286e-01, 7.142857e-02, 9.285714e-01
2950, 6.428571e-01, 7.142857e-02, 9.285714e-01
2951, 7.142857e-01, 7.142857e-02, 9.285714e-01
2952, 7.857143e-01, 7.142857e-02, 9.285714e-01
2953, 8.571429e-01, 7.142857e-02, 9.285714e-01
2954, 9.285714e-01, 7.142857e-02, 9.285714e-01
2955, 1.000000e+00, 7.142857e-02, 9.285714e-01
2956, 0.000000e+00, 1.428571e-01, 9.285714e-01
2957, 7.142857e-02, 1.428571e-01, 9.285714e-01
2958, 1.428571e-01, 1.428571e-01, 9.285714e-01
2959, 2.142857e-01, 1.428571e-01, 9.285714e-01
2960, 2.857143e-01, 1.428571e-01, 9.285714e-01
2961, 3.571429e-01, 1.428571e-01, 9.285714e-01
2962, 4.285714e-01, 1.428571e-01, 9.285714e-01
2963, 5.000000e-01, 1.428571e-01, 9.285714e-01
2964, 5.714286e-01, 1.428571e-01, 9.285714e-01
2965, 6.428571e-01, 1.428571e-01, 9.285714e-01
2966, 7.142857e-01, 1.428571e-01, 9.285714e-01
2967, 7.857143e-01, 1.428571e-01, 9.285714e-01
2968, 8.571429e-01, 1.428571e-01, 9.285714e-01
2969, 9.285714e-01, 1.428571e-01, 9.285714e-01
2970, 1.000000e+00, 1.428571e-01, 9.285714e-01
2971, 0.000000e+00, 2.142857e-01, 9.285714e-01
2972, 7.142857e-02, 2.142857e-01, 9.285714e-01
2973, 1.428571e-01, 2.142857e-01, 9.285714e-01
2974, 2.142857e-01, 2.142857e-01, 9.285714e-01
2975, 2.857143e-01, 2.142857e-01, 9.285714e-01
2976, 3.571429e-01, 2.142857e-01, 9.285714e-01
2977, 4.285714e-01, 2.142857e-01, 9.285714e-01
2978, 5.000000e-01, 2.142857e-01, 9.285714e-01
2979, 5.714286e-01, 2.142857e-01, 9.285714e-01
2980, 6.428571e-01, 2.142857e-01, 9.285714e-01
2981, 7.142857e-01, 2.142857e-01, 9.285714e-01
2982, 7.857143e-01, 2.142857e-01, 9.285714e-01
2983, 8.571429e-01, 2.142857e-01, 9.285714e-01
2984, 9.285714e-01, 2.142857e-01, 9.285714e-01
2985, 1.000000e+00, 2.142857e-01, 9.285714e-01
2986, 0.000000e+00, 2.857143e-01, 9.285714e-01
2987, 7.142857e-02, 2.857143e-01, 9.285714e-01
2988, 1.428571e-01, 2.857143e-01, 9.285714e-01
2989, 2.142857e-01, 2.857143e-01, 9.285714e-01
2990, 2.857143e-01, 2.857143e-01, 9.285714e-01
2991, 3.571429e-01, 2.857143e-01, 9.285714e-01
2992, 4.285714e-01, 2.857143e-01, 9.285714e-01
2993, 5.000000e-01, 2.857143e-01, 9.285714e-01
2994, 5.714286e-01, 2.857143e-01, 9.285714e-01
2995, 6.428571e-01, 2.857143e-01, 9.285714e-01
2996, 7.142857e-01, 2.857143e-01, 9.285714e-01
2997, 7.857143e-01, 2.857143e-01, 9.285714e-01
2998, 8.571429e-01, 2.857143e-01, 9.285714e-01
2999, 9.285714e-01, 2.857143e-01, 9.285714e-01
3000, 1.000000e+00, 2.857143e-01, 9.285714e-01
3001, 0.000000e+00, 3.571429e-01, 9.285714e-01
3002, 7.142857e-02, 3.571429e-01, 9.285714e-01
3003, 1.428571e-01, 3.571429e-01, 9.285714e-01
3004, 2.142857e-01, 3.571429e-01, 9.285714e-01
3005, 2.857143e-01, 3.571429e-01, 9.285714e-01
3006, 3.571429e-01, 3.571429e-01, 9.285714e-01
3007, 4.285714e-01, 3.571429e-01, 9.285714e-01
3008, 5.000000e-01, 3.571429e-01, 9.285714e-01
3009, 5.714286e-01, 3.571429e-01, 9.285714e-01
3010, 6.428571e-01, 3.571429e-01, 9.285714e-01
3011, 7.142857e-01, 3.571429e-01, 9.285714e-01
3012, 7.857143e-01, 3.571429e-01, 9.285714e-01
3013, 8.571429e-01, 3.571429e-01, 9.285714e-01
3014, 9.285714e-01, 3.571429e-01, 9.285714e-01
3015, 1.000000e+00, 3.571429e-01, 9.285714e-01
3016, 0.000000e+00, 4.285714e-01, 9.285714e-01
3017, 7.142857e-02, 4.285714e-01, 9.285714e-01
3018, 1.428571e-01, 4.285714e-01, 9.285714e-01
3019, 2.142857e-01, 4.285714e-01, 9.285714e-01
3020, 2.857143e-01, 4.285714e-01, 9.285714e-01
3021, 3.571429e-01, 4.285714e-01, 9.285714e-01
3022, 4.285714e-01, 4.285714e-01, 9.285714e-01
3023, 5.000000e-01, 4.285714e-01, 9.285714e-01
3024, 5.714286e-01, 4.285714e-01, 9.285714e-01
3025, 6.428571e-01, 4.285714e-01, 9.285714e-01
3026, 7.142857e-01, 4.285714e-01, 9.285714e-01
3027, 7.857143e-01, 4.285714e-01, 9.285714e-01
3028, 8.571429e-01, 4.285714e-01, 9.285714e-01
3029, 9.285714e-01, 4.285714e-01, 9.285714e-01
3030, 1.000000e+00, 4.285714e-01, 9.285714e-01
3031, 0.000000e+00, 5.000000e-01, 9.285714e-01
3032, 7.142857e-02, 5.000000e-01, 9.285714e-01
3033, 1.428571e-01, 5.000000e-01, 9.285714e-01
3034, 2.142857e-01, 5.000000e-01, 9.285714e-01
3035, 2.857143e-01, 5.000000e-01, 9.285714e-01
3036, 3.571429e-01, 5.000000e-01, 9.285714e-01
3037, 4.285714e-01, 5.000000e-01, 9.285714e-01
3038, 5.000000e-01, 5.000000e-01, 9.285714e-01
3039, 5.714286e-01, 5.000000e-01, 9.285714e-01
3040, 6.428571e-01, 5.000000e-01, 9.285714e-01
3041, 7.142857e-01, 5.000000e-01, 9.285714e-01
3042, 7.857143e-01, 5.000000e-01, 9.285714e-01
3043, 8.571429e-01, 5.000000e-01, 9.285714e-01
3044, 9.285714e-01, 5.000000e-01, 9.285714e-01
3045, 1.000000e+00, 5.000000e-01, 9.285714e-01
3046, 0.000000e+00, 5.714286e-01, 9.285714e-01
3047, 7.142857e-02, 5.714286e-01, 9.285714e-01
3048, 1.428571e-01, 5.714286e-01, 9.285714e-01
3049, 2.142857e-01, 5.714286e-01, 9.285714e-01
3050, 2.857143e-01, 5.714286e-01, 9.285714e-01
3051, 3.571429e-01, 5.714286e-01, 9.285714e-01
3052, 4.285714e-01, 5.714286e-01, 9.285714e-01
3053, 5.000000e-01, 5.714286e-01, 9.285714e-01
3054, 5.714286e-01, 5.714286e-01, 9.285714e-01
3055, 6.428571e-01, 5.714286e-01, 9.285714e-01
3056, 7.142857e-01, 5.714286e-01, 9.285714e-01
3057, 7.857143e-01, 5.714286e-01, 9.285714e-01
3058, 8.571429e-01, 5.714286e-01, 9.285714e-01
3059, 9.285714e-01, 5.714286e-01, 9.285714e-01
3060, 1.000000e+00, 5.714286e-01, 9.285714e-01
3061, 0.000000e+00, 6.428571e-01, 9.285714e-01
3062, 7.142857e-02, 6.428571e-01, 9.285714e-01
3063, 1.428571e-01, 6.428571e-01, 9.285714e-01
3064, 2.142857e-01, 6.428571e-01, 9.285714e-01
3065, 2.857143e-01, 6.428571e-01, 9.285714e-01
3066, 3.571429e-01, 6.428571e-01, 9.285714e-01
3067, 4.285714e-01, 6.428571e-01, 9.285714e-01
3068, 5.000000e-01, 6.428571e-01, 9.285714e-01
3069, 5.714286e-01, 6.428571e-01, 9.285714e-01
3070, 6.428571e-01, 6.428571e-01, 9.285714e-01
3071, 7.142857e-01, 6.428571e-01, 9.285714e-01
3072, 7.857143e-01, 6.428571e-01, 9.285714e-01
3073, 8.571429e-01, 6.428571e-01, 9.285714e-01
3074, 9.285714e-01, 6.428571e-01, 9.285714e-01
3075, 1.000000e+00, 6.428571e-01, 9.285714e-01
3076, 0.000000e+00, 7.142857e-01, 9.285714e-01
3077, 7.142857e-02, 7.142857e-01, 9.285714e-01
3078, 1.428571e-01, 7.142857e-01, 9.285714e-01
3079, 2.142857e-01, 7.142857e-01, 9.285714e-01
3080, 2.857143e-01, 7.142857e-01, 9.285714e-01
3081, 3.571429e-01, 7.142857e-01, 9.285714e-01
3082, 4.285714e-01, 7.142857e-01, 9.285714e-01
3083, 5.000000e-01, 7.142857e-01, 9.285714e-01
3084, 5.714286e-01, 7.142857e-01, 9.285714e-01
3085, 6.428571e-01, 7.142857e-01, 9.285714e-01
3086, 7.142857e-01, 7.142857e-01, 9.285714e-01
3087, 7.857143e-01, 7.142857e-01, 9.285714e-01
3088, 8.571429e-01, 7.142857e-01, 9.285714e-01
3089, 9.285714e-01, 7.142857e-01, 9.285714e-01
3090, 1.000000e+00, 7.142857e-01, 9.285714e-01
3091, 0.000000e+00, 7.857143e-01, 9.285714e-01
3092, 7.142857e-02, 7.857143e-01, 9.285714e-01
3093, 1.428571e-01, 7.857143e-01, 9.285714e-01
3094, 2.142857e-01, 7.857143e-01, 9.285714e-01
3095, 2.857143e-01, 7.857143e-01, 9.285714e-01
3096, 3.571429e-01, 7.857143e-01, 9.285714e-01
3097, 4.285714e-01, 7.857143e-01, 9.285714e-01
3098, 5.000000e-01, 7.857143e-01, 9.285714e-01
3099, 5.714286e-01, 7.857143e-01, 9.285714e-01
3100, 6.428571e-01, 7.857143e-01, 9.285714e-01
3101, 7.142857e-01, 7.857143e-01, 9.285714e-01
3102, 7.857143e-01, 7.857143e-01, 9.285714e-01
3103, 8.571429e-01, 7.857143e-01, 9.285714e-01
3104, 9.285714e-01, 7.857143e-01, 9.285714e-01
3105, 1.000000e+00, 7.857143e-01, 9.285714e-01
3106, 0.000000e+00, 8.571429e-01, 9.285714e-01
3107, 7.142857e-02, 8.571429e-01, 9.285714e-01
3108, 1.428571e-01, 8.571429e-01, 9.285714e-01
3109, 2.142857e-01, 8.571429e-01, 9.285714e-01
3110, 2.857143e-01, 8.571429e-01, 9.285714e-01
3111, 3.571429e-01, 8.571429e-01, 9.285714e-01
3112, 4.285714e-01, 8.571429e-01, 9.285714e-01
3113, 5.000000e-01, 8.571429e-01, 9.285714e-01
3114, 5.714286e-01, 8.571429e-01, 9.285714e-01
3115, 6.428571e-01, 8.571429e-01, 9.285714e-01
3116, 7.142857e-01, 8.571429e-01, 9.285714e-01
3117, 7.857143e-01, 8.571429e-01, 9.285714e-01
3118, 8.571429e-01, 8.571429e-01, 9.285714e-01
3119, 9.285714e-01, 8.571429e-01, 9.285714e-01
3120, 1.000000e+00, 8.571429e-01, 9.285714e-01
3121, 0.000000e+00, 9.285714e-01, 9.285714e-01
3122, 7.142857e-02, 9.285714e-01, 9.285714e-01
3123, 1.428571e-01, 9.285714e-01, 9.285714e-01
3124, 2.142857e-01, 9.285714e-01, 9.285714e-01
3125, 2.857143e-01, 9.285714e-01, 9.285714e-01
3126, 3.571429e-01, 9.285714e-01, 9.285714e-01
3127, 4.285714e-01, 9.285714e-01, 9.285714e-01
3128, 5.000000e-01, 9.285714e-01, 9.285714e-01
3129, 5.714286e-01, 9.285714e-01, 9.285714e-01
3130, 6.428571e-01, 9.285714e-01, 9.285714e-01
3131, 7.142857e-01, 9.285714e-01, 9.285714e-01
3132, 7.857143e-01, 9.285714e-01, 9.285714e-01
3133, 8.571429e-01, 9.285714e-01, 9.285714e-01
3134, 9.285714e-01, 9.285714e-01, 9.285714e-01
3135, 1.000000e+00, 9.285714e-01, 9.285714e-01
3136, 0.000000e+00, 1.000000e+00, 9.285714e-01
3137, 7.142857e-02, 1.000000e+00, 9.285714e-01
3138, 1.428571e-01, 1.000000e+00, 9.285714e-01
3139, 2.142857e-01, 1.000000e+00, 9.285714e-01
3140, 2.857143e-01, 1.000000e+00, 9.285714e-01
3141, 3.571429e-01, 1.000000e+00, 9.285714e-01
3142, 4.285714e-01, 1.000000e+00, 9.285714e-01
3143, 5.000000e-01, 1.000000e+00, 9.285714e-01
3144, 5.714286e-01, 1.000000e+00, 9.285714e-01
3145, 6.428571e-01, 1.000000e+00, 9.285714e-01
3146, 7.142857e-01, 1.000000e+00, 9.285714e-01
3147, 7.857143e-01, 1.000000e+00, 9.285714e-01
3148, 8.571429e-01, 1.000000e+00, 9.285714e-01
3149, 9.285714e-01, 1.000000e+00, 9.285714e-01
3150, 1.000000e+00, 1.000000e+00, 9.285714e-01
3151, 0.000000e+00, 0.000000e+00, 1.000000e+00
3152, 7.142857e-02, 0.000000e+00, 1.000000e+00
3153, 1.428571e-01, 0.000000e+00, 1.000000e+00
3154, 2.142857e-01, 0.000000e+00, 1.000000e+00
3155, 2.857143e-01, 0.000000e+00, 1.000000e+00
3156, 3.571429e-01, 0.000000e+00, 1.000000e+00
3157, 4.285714e-01, 0.000000e+00, 1.000000e+00
3158, 5.000000e-01, 0.000000e+00, 1.000000e+00
3159, 5.714286e-01, 0.000000e+00, 1.000000e+00
3160, 6.428571e-01, 0.000000e+00, 1.000000e+00
3161, 7.142857e-01, 0.000000e+00, 1.000000e+00
3162, 7.857143e-01, 0.000000e+00, 1.000000e+00
3163, 8.571429e-01, 0.000000e+00, 1.000000e+00
3164, 9.285714e-01, 0.000000e+00, 1.000000e+00
3165, 1.000000e+00, 0.000000e+00, 1.000000e+00
3166, 0.000000e+00, 7.142857e-02, 1.000000e+00
3167, 7.142857e-02, 7.142857e-02, 1.000000e+00
3168, 1.428571e-01, 7.142857e-02, 1.000000e+00
3169, 2.142857e-01, 7.142857e-02, 1.000000e+00
3170, 2.857143e-01, 7.142857e-02, 1.000000e+00
3171, 3.571429e-01, 7.142857e-02, 1.000000e+00
3172, 4.285714e-01, 7.142857e-02, 1.000000e+00
3173, 5.000000e-01, 7.142857e-02, 1.000000e+00
3174, 5.714286e-01, 7.142857e-02, 1.000000e+00
3175, 6.428571e-01, 7.142857e-02, 1.000000e+00
3176, 7.142857e-01, 7.142857e-02, 1.000000e+00
3177, 7.857143e-01, 7.142857e-02, 1.000000e+00
3178, 8.571429e-01, 7.142857e-02, 1.000000e+00
3179, 9.285714e-01, 7.142857e-02, 1.000000e+00
3180, 1.000000e+00, 7.142857e-02, 1.000000e+00
3181, 0.000000e+00, 1.428571e-01, 1.000000e+00
3182, 7.142857e-02, 1.428571e-01, 1.000000e+00
3183, 1.428571e-01, 1.428571e-01, 1.000000e+00
3184, 2.142857e-01, 1.428571e-01, 1.000000e+00
3185, 2.857143e-01, 1.428571e-01, 1.000000e+00
3186, 3.571429e-01, 1.428571e-01, 1.000000e+00
3187, 4.285714e-01, 1.428571e-01, 1.000000e+00
3188, 5.000000e-01, 1.428571e-01, 1.000000e+00
3189, 5.714286e-01, 1.428571e-01, 1.000000e+00
3190, 6.428571e-01, 1.428571e-01, 1.000000e+00
3191, 7.142857e-01, 1.428571e-01, 1.000000e+00
3192, 7.857143e-01, 1.428571e-01, 1.000000e+00
3193, 8.571429e-01, 1.428571e-01, 1.000000e+00
3194, 9.285714e-01, 1.428571e-01, 1.000000e+00
3195, 1.000000e+00, 1.428571e-01, 1.000000e+00
3196, 0.000000e+00, 2.142857e-01, 1.000000e+00
3197, 7.142857e-02, 2.142857e-01, 1.000000e+00
3198, 1.428571e-01, 2.142857e-01, 1.000000e+00
3199, 2.142857e-01, 2.142857e-01, 1.000000e+00
3200, 2.857143e-01, 2.142857e-01, 1.000000e+00
3201, 3.571429e-01, 2.142857e-01, 1.000000e+00
3202, 4.285714e-01, 2.142857e-01, 1.000000e+00
3203, 5.000000e-01, 2.142857e-01, 1.000000e+00
3204, 5.714286e-01, 2.142857e-01, 1.000000e+00
3205, 6.428571e-01, 2.142857e-01, 1.000000e+00
3206, 7.142857e-01, 2.142857e-01, 1.000000e+00
3207, 7.857143e-01, 2.142857e-01, 1.000000e+00
3208, 8.571429e-01, 2.142857e-01, 1.000000e+00
3209, 9.285714e-01, 2.142857e-01, 1.000000e+00
3210, 1.000000e+00, 2.142857e-01, 1.000000e+00
3211, 0.000000e+00, 2.857143e-01, 1.000000e+00
3212, 7.142857e-02, 2.857143e-01, 1.000000e+00
3213, 1.428571e-01, 2.857143e-01, 1.000000e+00
3214, 2.142857e-01, 2.857143e-01, 1.000000e+00
3215, 2.857143e-01, 2.857143e-01, 1.000000e+00
3216, 3.571429e-01, 2.857143e-01, 1.000000e+00
3217, 4.285714e-01, 2.857143e-01, 1.000000e+00
3218, 5.000000e-01, 2.857143e-01, 1.000000e+00
3219, 5.714286e-01, 2.857143e-01, 1.000000e+00
3220, 6.428571e-01, 2.857143e-01, 1.000000e+00
3221, 7.142857e-01, 2.857143e-01, 1.000000e+00
3222, 7.857143e-01, 2.857143e-01, 1.000000e+00
3223, 8.571429e-01, 2.857143e-01, 1.000000e+00
3224, 9.285714e-01, 2.857143e-01, 1.000000e+00
3225, 1.000000e+00, 2.857143e-01, 1.000000e+00
3226, 0.000000e+00, 3.571429e-01, 1.000000e+00
3227, 7.142857e-02, 3.571429e-01, 1.000000e+00
3228, 1.428571e-01, 3.571429e-01, 1.000000e+00
3229, 2.142857e-01, 3.571429e-01, 1.000000e+00
3230, 2.857143e-01, 3.571429e-01, 1.000000e+00
3231, 3.571429e-01, 3.571429e-01, 1.000000e+00
3232, 4.285714e-01, 3.571429e-01, 1.000000e+00
3233, 5.000000e-01, 3.571429e-01, 1.000000e+00
3234, 5.714286e-01, 3.571429e-01, 1.000000e+00
3235, 6.428571e-01, 3.571429e-01, 1.000000e+00
3236, 7.142857e-01, 3.571429e-01, 1.000000e+00
3237, 7.857143e-01, 3.571429e-01, 1.000000e+00
3238, 8.571429e-01, 3.571429e-01, 1.000000e+00
3239, 9.285714e-01, 3.571429e-01, 1.000000e+00
3240, 1.000000e+00, 3.571429e-01, 1.000000e+00
3241, 0.000000e+00, 4.285714e-01, 1.000000e+00
3242, 7.142857e-02, 4.285714e-01, 1.000000e+00
3243, 1.428571e-01, 4.285714e-01, 1.000000e+00
3244, 2.142857e-01, 4.285714e-01, 1.000000e+00
3245, 2.857143e-01, 4.285714e-01, 1.000000e+00
3246, 3.571429e-01, 4.285714e-01, 1.000000e+00
3247, 4.285714e-01, 4.285714e-01, 1.000000e+00
3248, 5.000000e-01, 4.285714e-01, 1.000000e+00
3249, 5.714286e-01, 4.285714e-01, 1.000000e+00
3250, 6.428571e-01, 4.285714e-01, 1.000000e+00
3251, 7.142857e-01, 4.285714e-01, 1.000000e+00
3252, 7.857143e-01, 4.285714e-01, 1.000000e+00
3253, 8.571429e-01, 4.285714e-01, 1.000000e+00
3254, 9.285714e-01, 4.285714e-01, 1.000000e+00
3255, 1.000000e+00, 4.285714e-01, 1.000000e+00
3256, 0.000000e+00, 5.000000e-01, 1.000000e+00
3257, 7.142857e-02, 5.000000e-01, 1.000000e+00
3258, 1.428571e-01, 5.000000e-01, 1.000000e+00
3259, 2.142857e-01, 5.000000e-01, 1.000000e+00
3260, 2.857143e-01, 5.000000e-01, 1.000000e+00
3261, 3.571429e-01, 5.000000e-01, 1.000000e+00
3262, 4.285714e-01, 5.000000e-01, 1.000000e+00
3263, 5.000000e-01, 5.000000e-01, 1.000000e+00
3264, 5.714286e-01, 5.000000e-01, 1.000000e+00
3265, 6.428571e-01, 5.000000e-01, 1.000000e+00
3266, 7.142857e-01, 5.000000e-01, 1.000000e+00
3267, 7.857143e-01, 5.000000e-01, 1.000000e+00
3268, 8.571429e-01, 5.000000e-01, 1.000000e+00
3269, 9.285714e-01, 5.000000e-01, 1.000000e+00
3270, 1.000000e+00, 5.000000e-01, 1.000000e+00
3271, 0.000000e+00, 5.714286e-01, 1.000000e+00
3272, 7.142857e-02, 5.714286e-01, 1.000000e+00
3273, 1.428571e-01, 5.714286e-01, 1.000000e+00
3274, 2.142857e-01, 5.714286e-01, 1.000000e+00
3275, 2.857143e-01, 5.714286e-01, 1.000000e+00
3276, 3.571429e-01, 5.714286e-01, 1.000000e+00
3277, 4.285714e-01, 5.714286e-01, 1.000000e+00
3278, 5.000000e-01, 5.714286e-01, 1.000000e+00
3279, 5.714286e-01, 5.714286e-01, 1.000000e+00
3280, 6.428571e-01, 5.714286e-01, 1.000000e+00
3281, 7.142857e-01, 5.714286e-01, 1.000000e+00
3282, 7.857143e-01, 5.714286e-01, 1.000000e+00
3283, 8.571429e-01, 5.714286e-01, 1.000000e+00
3284, 9.285714e-01, 5.714286e-01, 1.000000e+00
3285, 1.000000e+00, 5.714286e-01, 1.000000e+00
3286, 0.000000e+00, 6.428571e-01, 1.000000e+00
3287, 7.142857e-02, 6.428571e-01, 1.000000e+00
3288, 1.428571e-01, 6.428571e-01, 1.000000e+00
3289, 2.142857e-01, 6.428571e-01, 1.000000e+00
3290, 2.857143e-01, 6.428571e-01, 1.000000e+00
3291, 3.571429e-01, 6.428571e-01, 1.000000e+00
3292, 4.285714e-01, 6.428571e-01, 1.000000e+00
3293, 5.000000e-01, 6.428571e-01, 1.000000e+00
3294, 5.714286e-01, 6.428571e-01, 1.000000e+00
3295, 6.428571e-01, 6.428571e-01, 1.000000e+00
3296, 7.142857e-01, 6.428571e-01, 1.000000e+00
3297, 7.857143e-01, 6.428571e-01, 1.000000e+00
3298, 8.571429e-01, 6.428571e-01, 1.000000e+00
3299, 9.285714e-01, 6.428571e-01, 1.000000e+00
3300, 1.000000e+00, 6.428571e-01, 1.000000e+00
3301, 0.000000e+00, 7.142857e-01, 1.000000e+00
3302, 7.142857e-02, 7.142857e-01, 1.000000e+00
3303, 1.428571e-01, 7.142857e-01, 1.000000e+00
3304, 2.142857e-01, 7.142857e-01, 1.000000e+00
3305, 2.857143e-01, 7.142857e-01, 1.000000e+00
3306, 3.571429e-01, 7.142857e-01, 1.000000e+00
3307, 4.285714e-01, 7.142857e-01, 1.000000e+00
3308, 5.000000e-01, 7.142857e-01, 1.000000e+00
3309, 5.714286e-01, 7.142857e-01, 1.000000e+00
3310, 6.428571e-01, 7.142857e-01, 1.000000e+00
3311, 7.142857e-01, 7.142857e-01, 1.000000e+00
3312, 7.857143e-01, 7.142857e-01, 1.000000e+00
3313, 8.571429e-01, 7.142857e-01, 1.000000e+00
3314, 9.285714e-01, 7.142857e-01, 1.000000e+00
3315, 1.000000e+00, 7.142857e-01, 1.000000e+00
3316, 0.000000e+00, 7.857143e-01, 1.000000e+00
3317, 7.142857e-02, 7.857143e-01, 1.000000e+00
3318, 1.428571e-01, 7.857143e-01, 1.000000e+00
3319, 2.142857e-01, 7.857143e-01, 1.000000e+00
3320, 2.857143e-01, 7.857143e-01, 1.000000e+00
3321, 3.571429e-01, 7.857143e-01, 1.000000e+00
3322, 4.285714e-01, 7.857143e-01, 1.000000e+00
3323, 5.000000e-01, 7.857143e-01, 1.000000e+00
3324, 5.714286e-01, 7.857143e-01, 1.000000e+00
3325, 6.428571e-01, 7.857143e-01, 1.000000e+00
3326, 7.142857e-01, 7.857143e-01, 1.000000e+00
3327, 7.857143e-01, 7.857143e-01, 1.000000e+00
3328, 8.571429e-01, 7.857143e-01, 1.000000e+00
3329, 9.285714e-01, 7.857143e-01, 1.000000e+00
3330, 1.000000e+00, 7.857143e-01, 1.000000e+00
3331, 0.000000e+00, 8.571429e-01, 1.000000e+00
3332, 7.142857e-02, 8.571429e-01, 1.000000e+00
3333, 1.428571e-01, 8.571429e-01, 1.000000e+00
3334, 2.142857e-01, 8.571429e-01, 1.000000e+00
3335, 2.857143e-01, 8.571429e-01, 1.000000e+00
3336, 3.571429e-01, 8.571429e-01, 1.000000e+00
3337, 4.285714e-01, 8.571429e-01, 1.000000e+00
3338, 5.000000e-01, 8.571429e-01, 1.000000e+00
3339, 5.714286e-01, 8.571429e-01, 1.000000e+00
3340, 6.428571e-01, 8.571429e-01, 1.000000e+00
3341, 7.142857e-01, 8.571429e-01, 1.000000e+00
3342, 7.857143e-01, 8.571429e-01, 1.000000e+00
3343, 8.571429e-01, 8.571429e-01, 1.000000e+00
3344, 9.285714e-01, 8.571429e-01, 1.000000e+00
3345, 1.000000e+00, 8.571429e-01, 1.000000e+00
3346, 0.000000e+00, 9.285714e-01, 1.000000e+00
3347, 7.142857e-02, 9.285714e-01, 1.000000e+00
3348, 1.428571e-01, 9.285714e-01, 1.000000e+00
3349, 2.142857e-01, 9.285714e-01, 1.000000e+00
3350, 2.857143e-01, 9.285714e-01, 1.000000e+00
3351, 3.571429e-01, 9.285714e-01, 1.000000e+00
3352, 4.285714e-01, 9.285714e-01, 1.000000e+00
3353, 5.000000e-01, 9.285714e-01, 1.000000e+00
3354, 5.714286e-01, 9.285714e-01, 1.000000e+00
3355, 6.428571e-01, 9.285714e-01, 1.000000e+00
3356, 7.142857e-01, 9.285714e-01, 1.000000e+00
3357, 7.857143e-01, 9.285714e-01, 1.000000e+00
3358, 8.571429e-01, 9.285714e-01, 1.000000e+00
3359, 9.285714e-01, 9.285714e-01, 1.000000e+00
3360, 1.000000e+00, 9.285714e-01, 1.000000e+00
3361, 0.000000e+00, 1.000000e+00, 1.000000e+00
3362, 7.142857e-02, 1.000000e+00, 1.000000e+00
3363, 1.428571e-01, 1.000000e+00, 1.000000e+00
3364, 2.142857e-01, 1.000000e+00, 1.000000e+00
3365, 2.857143e-01, 1.000000e+00, 1.000000e+00
3366, 3.571429e-01, 1.000000e+00, 1.000000e+00
3367, 4.285714e-01, 1.000000e+00, 1.000000e+00
3368, 5.000000e-01, 1.000000e+00, 1.000000e+00
3369, 5.714286e-01, 1.000000e+00, 1.000000e+00
3370, 6.428571e-01, 1.000000e+00, 1.000000e+00
3371, 7.142857e-01, 1.000000e+00, 1.000000e+00
3372, 7.857143e-01, 1.000000e+00, 1.000000e+00
3373, 8.571429e-01, 1.000000e+00, 1.000000e+00
3374, 9.285714e-01, 1.000000e+00, 1.000000e+00
3375, 1.000000e+00, 1.000000e+00, 1.000000e+00
*Element, type=C3D8
1, 1, 2, 17, 16, 226, 227, 242, 241
2, 2, 3, 18, 17, 227, 228, 243, 242
3, 3, 4, 19, 18, 228, 229, 244, 243
4, 4, 5, 20, 19, 229, 230, 245, 244
5, 5, 6, 21, 20, 230, 231, 246, 245
6, 6, 7, 22, 21, 231, 232, 247, 246
7, 7, 8, 23, 22, 232, 233, 248, 247
8, 8, 9, 24, 23, 233, 234, 249, 248
9, 9, 10, 25, 24, 234, 235, 250, 249
10, 10, 11, 26, 25, 235, 236, 251, 250
11, 11, 12, 27, 26, 236, 237, 252, 251
12, 12, 13, 28, 27, 237, 238, 253, 252
13, 13, 14, 29, 28, 238, 239, 254, 253
14, 14, 15, 30, 29, 239, 240, 255, 254
15, 16, 17, 32, 31, 241, 242, 257, 256
16, 17, 18, 33, 32, 242, 243, 258, 257
17, 18, 19, 34, 33, 243, 244, 259, 258
18, 19, 20, 35, 34, 244, 245, 260, 259
19, 20, 21, 36, 35, 245, 246, 261, 260
20, 21, 22, 37, 36, 246, 247, 262, 261
21, 22, 23, 38, 37, 247, 248, 263, 262
22, 23, 24, 39, 38, 248, 249, 264, 263
23, 24, 25, 40, 39, 249, 250, 265, 264
24, 25, 26, 41, 40, 250, 251, 266, 265
25, 26, 27, 42, 41, 251, 252, 267, 266
26, 27, 28, 43, 42, 252, 253, 268, 267
27, 28, 29, 44, 43, 253, 254, 269, 268
28, 29, 30, 45, 44, 254, 255, 270, 269
29, 31, 32, 47, 46, 256, 257, 272, 271
30, 32, 33, 48, 47, 257, 258, 273, 272
31, 33, 34, 49, 48, 258, 259, 274, 273
32, 34, 35, 50, 49, 259, 260, 275, 274
33, 35, 36, 51, 50, 260, 261, 276, 275
34, 36, 37, 52, 51, 261, 262, 277, 276
35, 37, 38, 53, 52, 262, 263, 278, 277
36, 38, 39, 54, 53, 263, 264, 279, 278
37, 39, 40, 55, 54, 264, 265, 280, 279
38, 40, 41, 56, 55, 265, 266, 281, 280
39, 41, 42, 57, 56, 266, 267, 282, 281
40, 42, 43, 58, 57, 267, 268, 283, 282
41, 43, 44, 59, 58, 268, 269, 284, 283
42, 44, 45, 60, 59, 269, 270, 285, 284
43, 46, 47, 62, 61, 271, 272, 287, 286
44, 47, 48, 63, 62, 272, 273, 288, 287
45, 48, 49, 64, 63, 273, 274, 289, 288
46, 49, 50, 65, 64, 274, 275, 290, 289
47, 50, 51, 66, 65, 275, 276, 291, 290
48, 51, 52, 67, 66, 276, 277, 292, 291
49, 52, 53, 68, 67, 277, 278, 293, 292
50, 53, 54, 69, 68, 278, 279, 294, 293
51, 54, 55, 70, 69, 279, 280, 295, 294
52, 55, 56, 71, 70, 280, 281, 296, 295
53, 56, 57, 72, 71, 281, 282, 297, 296
54, 57, 58, 73, 72, 282, 283, 298, 297
55, 58, 59, 74, 73, 283, 284, 299, 298
56, 59, 60, 75, 74, 284, 285, 300, 299
57, 61, 62, 77, 76, 286, 287, 302, 301
58, 62, 63, 78, 77, 287, 288, 303, 302
59, 63, 64, 79, 78, 288, 289, 304, 303
60, 64, 65, 80, 79, 289, 290, 305, 304
61, 65, 66, 81, 80, 290, 291, 306, 305
62, 66, 67, 82, 81, 291, 292, 307, 306
63, 67, 68, 83, 82, 292, 293, 308, 307
64, 68, 69, 84, 83, 293, 294, 309, 308
65, 69, 70, 85, 84, 294, 295, 310, 309
66, 70, 71, 86, 85, 295, 296, 311, 310
67, 71, 72, 87, 86, 296, 297, 312, 311
68, 72, 73, 88, 87, 297, 298, 313, 312
69, 73, 74, 89, 88, 298, 299, 314, 313
70, 74, 75, 90, 89, 299, 300, 315, 314
71, 76, 77, 92, 91, 301, 302, 317, 316
72, 77, 78, 93, 92, 302, 303, 318, 317
73, 78, 79, 94, 93, 303, 304, 319, 318
74, 79, 80, 95, 94, 304, 305, 320, 319
75, 80, 81, 96, 95, 305, 306, 321, 320
76, 81, 82, 97, 96, 306, 307, 322, 321
77, 82, 83, 98, 97, 307, 308, 323, 322
78, 83, 84, 99, 98, 308, 309, 324, 323
79, 84, 85, 100, 99, 309, 310, 325, 324
80, 85, 86, 101, 100, 310, 311, 326, 325
81, 86, 87, 102, 101, 311, 312, 327, 326
82, 87, 88, 103, 102, 312, 313, 328, 327
83, 88, 89, 104, 103, 313, 314, 329, 328
84, 89, 90, 105, 104, 314, 315, 330, 329
85, 91, 92, 107, 106, 316, 317, 332, 331
86, 92, 93, 108, 107, 317, 318, 333, 332
87, 93, 94, 109, 108, 318, 319, 334, 333
88, 94, 95, 110, 109, 319, 320, 335, 334
89, 95, 96, 111, 110, 320, 321, 336, 335
90, 96, 97, 112, 111, 321, 322, 337, 336
91, 97, 98, 113, 112, 322, 323, 338, 337
92, 98, 99, 114, 113, 323, 324, 339, 338
93, 99, 100, 115, 114, 324, 325, 340, 339
94, 100, 101, 116, 115, 325, 326, 341, 340
95, 101, 102, 117, 116, 326, 327, 342, 341
96, 102, 103, 118, 117, 327, 328, 343, 342
97, 103, 104, 119, 118, 328, 329, 344, 343
98, 104, 105, 120, 119, 329, 330, 345, 344
99, 106, 107, 122, 121, 331, 332, 347, 346
100, 107, 108, 123, 122, 332, 333, 348, 347
101, 108, 109, 124, 123, 333, 334, 349, 348
102, 109, 110, 125, 124, 334, 335, 350, 349
103, 110, 111, 126, 125, 335, 336, 351, 350
104, 111, 112, 127, 126, 336, 337, 352, 351
105, 112, 113, 128, 127, 337, 338, 353, 352
106, 113, 114, 129, 128, 338, 339, 354, 353
107, 114, 115, 130, 129, 339, 340, 355, 354
108, 115, 116, 131, 130, 340, 341, 356, 355
109, 116, 117, 132, 131, 341, 342, 357, 356
110, 117, 118, 133, 132, 342, 343, 358, 357
111, 118, 119, 134, 133, 343, 344, 359, 358
112, 119, 120, 135, 134, 344, 345, 360, 359
113, 121, 122, 137, 136, 346, 347, 362, 361
114, 122, 123, 138, 137, 347, 348, 363, 362
115, 123, 124, 139, 138, 348, 349, 364, 363
116, 124, 125, 140, 139, 349, 350, 365, 364
117, 125, 126, 141, 140, 350, 351, 366, 365
118, 126, 127, 142, 141, 351, 352, 367, 366
119, 127, 128, 143, 142, 352, 353, 368, 367
120, 128, 129, 144, 143, 353, 354, 369, 368
121, 129, 130, 145, 144, 354, 355, 370, 369
122, 130, 131, 146, 145, 355, 356, 371, 370
123, 131, 132, 147, 146, 356, 357, 372, 371
124, 132, 133, 148, 147, 357, 358, 373, 372
125, 133, 134, 149, 148, 358, 359, 374, 373
126, 134, 135, 150, 149, 359, 360, 375, 374
127, 136, 137, 152, 151, 361, 362, 377, 376
128, 137, 138, 153, 152, 362, 363, 378, 377
129, 138, 139, 154, 153, 363, 364, 379, 378
130, 139, 140, 155, 154, 364, 365, 380, 379
131, 140, 141, 156, 155, 365, 366, 381, 380
132, 141, 142, 157, 156, 366, 367, 382, 381
133, 142, 143, 158, 157, 367, 368, 383, 382
134, 143, 144, 159, 158, 368, 369, 384, 383
135, 144, 145, 160, 159, 369, 370, 385, 384
136, 145, 146, 161, 160, 370, 371, 386, 385
137, 146, 147, 162, 161, 371, 372, 387, 386
138, 147, 148, 163, 162, 372, 373, 388, 387
139, 148, 149, 164, 163, 373, 374, 389, 388
140, 149, 150, 165, 164, 374, 375, 390, 389
141, 151, 152, 167, 166, 376, 377, 392, 391
142, 152, 153, 168, 167, 377, 378, 393, 392
143, 153, 154, 169, 168, 378, 379, 394, 393
144, 154, 155, 170, 169, 379, 380, 395, 394
145, 155, 156, 171, 170, 380, 381, 396, 395
146, 156, 157, 172, 171, 381, 382, 397, 396
147, 157, 158, 173, 172, 382, 383, 398, 397
148, 158, 159, 174, 173, 383, 384, 399, 398
149, 159, 160, 175, 174, 384, 385, 400, 399
150, 160, 161, 176, 175, 385, 386, 401, 400
151, 161, 162, 177, 176, 386, 387, 402, 401
152, 162, 163, 178, 177, 387, 388, 403, 402
153, 163, 164, 179, 178, 388, 389, 404, 403
154, 164, 165, 180, 179, 389, 390, 405, 404
155, 166, 167, 182, 181, 391, 392, 407, 406
156, 167, 168, 183, 182, 392, 393, 408, 407
157, 168, 169, 184, 183, 393, 394, 409, 408
158, 169, 170, 185, 184, 394, 395, 410, 409
159, 170, 171, 186, 185, 395, 396, 411, 410
160, 171, 172, 187, 186, 396, 397, 412, 411
161, 172, 173, 188, 187, 397, 398, 413, 412
162, 173, 174, 189, 188, 398, 399, 414, 413
163, 174, 175, 190, 189, 399, 400, 415, 414
164, 175, 176, 191, 190, 400, 401, 416, 415
165, 176, 177, 192, 191, 401, 402, 417, 416
166, 177, 178, 193, 192, 402, 403, 418, 417
167, 178, 179, 194, 193, 403, 404, 419, 418
168, 179, 180, 195, 194, 404, 405, 420, 419
169, 181, 182, 197, 196, 406, 407, 422, 421
170, 182, 183, 198, 197, 407, 408, 423, 422
171, 183, 184, 199, 198, 408, 409, 424, 423
172, 184, 185, 200, 199, 409, 410, 425, 424
173, 185, 186, 201, 200, 410, 411, 426, 425
174, 186, 187, 202, 201, 411, 412, 427, 426
175, 187, 188, 203, 202, 412, 413, 428, 427
176, 188, 189, 204, 203, 413, 414, 429, 428
177, 189, 190, 205, 204, 414, 415, 430, 429
178, 190, 191, 206, 205, 415, 416, 431, 430
179, 191, 192, 207, 206, 416, 417, 432, 431
180, 192, 193, 208, 207, 417, 418, 433, 432
181, 193, 194, 209, 208, 418, 419, 434, 433
182, 194, 195, 210, 209, 419, 420, 435, 434
183, 196, 197, 212, 211, 421, 422, 437, 436
184, 197, 198, 213, 212, 422, 423, 438, 437
185, 198, 199, 214, 213, 423, 424, 439, 438
186, 199, 200, 215, 214, 424, 425, 440, 439
187, 200, 201, 216, 215, 425, 426, 441, 440
188, 201, 202, 217, 216, 426, 427, 442, 441
189, 202, 203, 218, 217, 427, 428, 443, 442
190, 203, 204, 219, 218, 428, 429, 444, 443
191, 204, 205, 220, 219, 429, 430, 445, 444
192, 205, 206, 221, 220, 430, 431, 446, 445
193, 206, 207, 222, 221, 431, 432, 447, 446
194, 207, 208, 223, 222, 432, 433, 448, 447
195, 208, 209, 224, 223, 433, 434, 449, 448
196, 209, 210, 225, 224, 434, 435, 450, 449
197, 226, 227, 242, 241, 451, 452, 467, 466
198, 227, 228, 243, 242, 452, 453, 468, 467
199, 228, 229, 244, 243, 453, 454, 469, 468
200, 229, 230, 245, 244, 454, 455, 470, 469
201, 230, 231, 246, 245, 455, 456, 471, 470
202, 231, 232, 247, 246, 456, 457, 472, 471
203, 232, 233, 248, 247, 457, 458, 473, 472
204, 233, 234, 249, 248, 458, 459, 474, 473
205, 234, 235, 250, 249, 459, 460, 475, 474
206, 235, 236, 251, 250, 460, 461, 476, 475
207, 236, 237, 252, 251, 461, 462, 477, 476
208, 237, 238, 253, 252, 462, 463, 478, 477
209, 238, 239, 254, 253, 463, 464, 479, 478
210, 239, 240, 255, 254, 464, 465, 480, 479
211, 241, 242, 257, 256, 466, 467, 482, 481
212, 242, 243, 258, 257, 467, 468, 483, 482
213, 243, 244, 259, 258, 468, 469, 484, 483
214, 244, 245, 260, 259, 469, 470, 485, 484
215, 245, 246, 261, 260, 470, 471, 486, 485
216, 246, 247, 262, 261, 471, 472, 487, 486
217, 247, 248, 263, 262, 472, 473, 488, 487
218, 248, 249, 264, 263, 473, 474, 489, 488
219, 249, 250, 265, 264, 474, 475, 490, 489
220, 250, 251, 266, 265, 475, 476, 491, 490
221, 251, 252, 267, 266, 476, 477, 492, 491
222, 252, 253, 268, 267, 477, 478, 493, 492
223, 253, 254, 269, 268, 478, 479, 494, 493
224, 254, 255, 270, 269, 479, 480, 495, 494
225, 256, 257, 272, 271, 481, 482, 497, 496
226, 257, 258, 273, 272, 482, 483, 498, 497
227, 258, 259, 274, 273, 483, 484, 499, 498
228, 259, 260, 275, 274, 484, 485, 500, 499
229, 260, 261, 276, 275, 485, 486, 501, 500
230, 261, 262, 277, 276, 486, 487, 502, 501
231, 262, 263, 278, 277, 487, 488, 503, 502
232, 263, 264, 279, 278, 488, 489, 504, 503
233, 264, 265, 280, 279, 489, 490, 505, 504
234, 265, 266, 281, 280, 490, 491, 506, 505
235, 266, 267, 282, 281, 491, 492, 507, 506
236, 267, 268, 283, 282, 492, 493, 508, 507
237, 268, 269, 284, 283, 493, 494, 509, 508
238, 269, 270, 285, 284, 494, 495, 510, 509
239, 271, 272, 287, 286, 496, 497, 512, 511
240, 272, 273, 288, 287, 497, 498, 513, 512
241, 273, 274, 289, 288, 498, 499, 514, 513
242, 274, 275, 290, 289, 499, 500, 515, 514
243, 275, 276, 291, 290, 500, 501, 516, 515
244, 276, 277, 292, 291, 501, 502, 517, 516
245, 277, 278, 293, 292, 502, 503, 518, 517
246, 278, 279, 294, 293, 503, 504, 519, 518
247, 279, 280, 295, 294, 504, 505, 520, 519
248, 280, 281, 296, 295, 505, 506, 521, 520
249, 281, 282, 297, 296, 506, 507, 522, 521
250, 282, 283, 298, 297, 507, 508, 523, 522
251, 283, 284, 299, 298, 508, 509, 524, 523
252, 284, 285, 300, 299, 509, 510, 525, 524
253, 286, 287, 302, 301, 511, 512, 527, 526
254, 287, 288, 303, 302, 512, 513, 528, 527
255, 288, 289, 304, 303, 513, 514, 529, 528
256, 289, 290, 305, 304, 514, 515, 530, 529
257, 290, 291, 306, 305, 515, 516, 531, 530
258, 291, 292, 307, 306, 516, 517, 532, 531
259, 292, 293, 308, 307, 517, 518, 533, 532
260, 293, 294, 309, 308, 518, 519, 534, 533
261, 294, 295, 310, 309, 519, 520, 535, 534
262, 295, 296, 311, 310, 520, 521, 536, 535
263, 296, 297, 312, 311, 521, 522, 537, 536
264, 297, 298, 313, 312, 522, 523, 538, 537
265, 298, 299, 314, 313, 523, 524, 539, 538
266, 299, 300, 315, 314, 524, 525, 540, 539
267, 301, 302, 317, 316, 526, 527, 542, 541
268, 302, 303, 318, 317, 527, 528, 543, 542
269, 303, 304, 319, 318, 528, 529, 544, 543
270, 304, 305, 320, 319, 529, 530, 545, 544
271, 305, 306, 321, 320, 530, 531, 546, 545
272, 306, 307, 322, 321, 531, 532, 547, 546
273, 307, 308, 323, 322, 532, 533, 548, 547
274, 308, 309, 324, 323, 533, 534, 549, 548
275, 309, 310, 325, 324, 534, 535, 550, 549
276, 310, 311, 326, 325, 535, 536, 551, 550
277, 311, 312, 327, 326, 536, 537, 552, 551
278, 312, 313, 328, 327, 537, 538, 553, 552
279, 313, 314, 329, 328, 538, 539, 554, 553
280, 314, 315, 330, 329, 539, 540, 555, 554
281, 316, 317, 332, 331, 541, 542, 557, 556
282, 317, 318, 333, 332, 542, 543, 558, 557
283, 318, 319, 334, 333, 543, 544, 559, 558
284, 319, 320, 335, 334, 544, 545, 560, 559
285, 320, 321, 336, 335, 545, 546, 561, 560
286, 321, 322, 337, 336, 546, 547, 562, 561
287, 322, 323, 338, 337, 547, 548, 563, 562
288, 323, 324, 339, 338, 548, 549, 564, 563
289, 324, 325, 340, 339, 549, 550, 565, 564
290, 325, 326, 341, 340, 550, 551, 566, 565
291, 326, 327, 342, 341, 551, 552, 567, 566
292, 327, 328, 343, 342, 552, 553, 568, 567
293, 328, 329, 344, 343, 553, 554, 569, 568
294, 329, 330, 345, 344, 554, 555, 570, 569
295, 331, 332, 347, 346, 556, 557, 572, 571
296, 332, 333, 348, 347, 557, 558, 573, 572
297, 333, 334, 349, 348, 558, 559, 574, 573
298, 334, 335, 350, 349, 559, 560, 575, 574
299, 335, 336, 351, 350, 560, 561, 576, 575
300, 336, 337, 352, 351, 561, 562, 577, 576
301, 337, 338, 353, 352, 562, 563, 578, 577
302, 338, 339, 354, 353, 563, 564, 579, 578
303, 339, 340, 355, 354, 564, 565, 580, 579
304, 340, 341, 356, 355, 565, 566, 581, 580
305, 341, 342, 357, 356, 566, 567, 582, 581
306, 342, 343, 358, 357, 567, 568, 583, 582
307, 343, 344, 359, 358, 568, 569, 584, 583
308, 344, 345, 360, 359, 569, 570, 585, 584
309, 346, 347, 362, 361, 571, 572, 587, 586
310, 347, 348, 363, 362, 572, 573, 588, 587
311, 348, 349, 364, 363, 573, 574, 589, 588
312, 349, 350, 365, 364, 574, 575, 590, 589
313, 350, 351, 366, 365, 575, 576, 591, 590
314, 351, 352, 367, 366, 576, 577, 592, 591
315, 352, 353, 368, 367, 577, 578, 593, 592
316, 353, 354, 369, 368, 578, 579, 594, 593
317, 354, 355, 370, 369, 579, 580, 595, 594
318, 355, 356, 371, 370, 580, 581, 596, 595
319, 356, 357, 372, 371, 581, 582, 597, 596
320, 357, 358, 373, 372, 582, 583, 598, 597
321, 358, 359, 374, 373, 583, 584, 599, 598
322, 359, 360, 375, 374, 584, 585, 600, 599
323, 361, 362, 377, 376, 586, 587, 602, 601
324, 362, 363, 378, 377, 587, 588, 603, 602
325, 363, 364, 379, 378, 588, 589, 604, 603
326, 364, 365, 380, 379, 589, 590, 605, 604
327, 365, 366, 381, 380, 590, 591, 606, 605
328, 366, 367, 382, 381, 591, 592, 607, 606
329, 367, 368, 383, 382, 592, 593, 608, 607
330, 368, 369, 384, 383, 593, 594, 609, 608
331, 369, 370, 385, 384, 594, 595, 610, 609
332, 370, 371, 386, 385, 595, 596, 611, 610
333, 371, 372, 387, 386, 596, 597, 612, 611
334, 372, 373, 388, 387, 597, 598, 613, 612
335, 373, 374, 389, 388, 598, 599, 614, 613
336, 374, 375, 390, 389, 599, 600, 615, 614
337, 376, 377, 392, 391, 601, 602, 617, 616
338, 377, 378, 393, 392, 602, 603, 618, 617
339, 378, 379, 394, 393, 603, 604, 619, 618
340, 379, 380, 395, 394, 604, 605, 620, 619
341, 380, 381, 396, 395, 605, 606, 621, 620
342, 381, 382, 397, 396, 606, 607, 622, 621
343, 382, 383, 398, 397, 607, 608, 623, 622
344, 383, 384, 399, 398, 608, 609, 624, 623
345, 384, 385, 400, 399, 609, 610, 625, 624
346, 385, 386, 401, 400, 610, 611, 626, 625
347, 386, 387, 402, 401, 611, 612, 627, 626
348, 387, 388, 403, 402, 612, 613, 628, 627
349, 388, 389, 404, 403, 613, 614, 629, 628
350, 389, 390, 405, 404, 614, 615, 630, 629
351, 391, 392, 407, 406, 616, 617, 632, 631
352, 392, 393, 408, 407, 617, 618, 633, 632
353, 393, 394, 409, 408, 618, 619, 634, 633
354, 394, 395, 410, 409, 619, 620, 635, 634
355, 395, 396, 411, 410, 620, 621, 636, 635
356, 396, 397, 412, 411, 621, 622, 637, 636
357, 397, 398, 413, 412, 622, 623, 638, 637
358, 398, 399, 414, 413, 623, 624, 639, 638
359, 399, 400, 415, 414, 624, 625, 640, 639
360, 400, 401, 416, 415, 625, 626, 641, 640
361, 401, 402, 417, 416, 626, 627, 642, 641
362, 402, 403, 418, 417, 627, 628, 643, 642
363, 403, 404, 419, 418, 628, 629, 644, 643
364, 404, 405, 420, 419, 629, 630, 645, 644
365, 406, 407, 422, 421, 631, 632, 647, 646
366, 407, 408, 423, 422, 632, 633, 648, 647
367, 408, 409, 424, 423, 633, 634, 649, 648
368, 409, 410, 425, 424, 634, 635, 650, 649
369, 410, 411, 426, 425, 635, 636, 651, 650
370, 411, 412, 427, 426, 636, 637, 652, 651
371, 412, 413, 428, 427, 637, 638, 653, 652
372, 413, 414, 429, 428, 638, 639, 654, 653
373, 414, 415, 430, 429, 639, 640, 655, 654
374, 415, 416, 431, 430, 640, 641, 656, 655
375, 416, 417, 432, 431, 641, 642, 657, 656
376, 417, 418, 433, 432, 642, 643, 658, 657
377, 418, 419, 434, 433, 643, 644, 659, 658
378, 419, 420, 435, 434, 644, 645, 660, 659
379, 421, 422, 437, 436, 646, 647, 662, 661
380, 422, 423, 438, 437, 647, 648, 663, 662
381, 423, 424, 439, 438, 648, 649, 664, 663
382, 424, 425, 440, 439, 649, 650, 665, 664
383, 425, 426, 441, 440, 650, 651, 666, 665
384, 426, 427, 442, 441, 651, 652, 667, 666
385, 427, 428, 443, 442, 652, 653, 668, 667
386, 428, 429, 444, 443, 653, 654, 669, 668
387, 429, 430, 445, 444, 654, 655, 670, 669
388, 430, 431, 446, 445, 655, 656, 671, 670
389, 431, 432, 447, 446, 656, 657, 672, 671
390, 432, 433, 448, 447, 657, 658, 673, 672
391, 433, 434, 449, 448, 658, 659, 674, 673
392, 434, 435, 450, 449, 659, 660, 675, 674
393, 451, 452, 467, 466, 676, 677, 692, 691
394, 452, 453, 468, 467, 677, 678, 693, 692
395, 453, 454, 469, 468, 678, 679, 694, 693
396, 454, 455, 470, 469, 679, 680, 695, 694
397, 455, 456, 471, 470, 680, 681, 696, 695
398, 456, 457, 472, 471, 681, 682, 697, 696
399, 457, 458, 473, 472, 682, 683, 698, 697
400, 458, 459, 474, 473, 683, 684, 699, 698
401, 459, 460, 475, 474, 684, 685, 700, 699
402, 460, 461, 476, 475, 685, 686, 701, 700
403, 461, 462, 477, 476, 686, 687, 702, 701
404, 462, 463, 478, 477, 687, 688, 703, 702
405, 463, 464, 479, 478, 688, 689, 704, 703
406, 464, 465, 480, 479, 689, 690, 705, 704
407, 466, 467, 482, 481, 691, 692, 707, 706
408, 467, 468, 483, 482, 692, 693, 708, 707
409, 468, 469, 484, 483, 693, 694, 709, 708
410, 469, 470, 485, 484, 694, 695, 710, 709
411, 470, 471, 486, 485, 695, 696, 711, 710
412, 471, 472, 487, 486, 696, 697, 712, 711
413, 472, 473, 488, 487, 697, 698, 713, 712
414, 473, 474, 489, 488, 698, 699, 714, 713
415, 474, 475, 490, 489, 699, 700, 715, 714
416, 475, 476, 491, 490, 700, 701, 716, 715
417, 476, 477, 492, 491, 701, 702, 717, 716
418, 477, 478, 493, 492, 702, 703, 718, 717
419, 478, 479, 494, 493, 703, 704, 719, 718
420, 479, 480, 495, 494, 704, 705, 720, 719
421, 481, 482, 497, 496, 706, 707, 722, 721
422, 482, 483, 498, 497, 707, 708, 723, 722
423, 483, 484, 499, 498, 708, 709, 724, 723
424, 484, 485, 500, 499, 709, 710, 725, 724
425, 485, 486, 501, 500, 710, 711, 726, 725
426, 486, 487, 502, 501, 711, 712, 727, 726
427, 487, 488, 503, 502, 712, 713, 728, 727
428, 488, 489, 504, 503, 713, 714, 729, 728
429, 489, 490, 505, 504, 714, 715, 730, 729
430, 490, 491, 506, 505, 715, 716, 731, 730
431, 491, 492, 507, 506, 716, 717, 732, 731
432, 492, 493, 508, 507, 717, 718, 733, 732
433, 493, 494, 509, 508, 718, 719, 734, 733
434, 494, 495, 510, 509, 719, 720, 735, 734
435, 496, 497, 512, 511, 721, 722, 737, 736
436, 497, 498, 513, 512, 722, 723, 738, 737
437, 498, 499, 514, 513, 723, 724, 739, 738
438, 499, 500, 515, 514, 724, 725, 740, 739
439, 500, 501, 516, 515, 725, 726, 741, 740
440, 501, 502, 517, 516, 726, 727, 742, 741
441, 502, 503, 518, 517, 727, 728, 743, 742
442, 503, 504, 519, 518, 728, 729, 744, 743
443, 504, 505, 520, 519, 729, 730, 745, 744
444, 505, 506, 521, 520, 730, 731, 746, 745
445, 506, 507, 522, 521, 731, 732, 747, 746
446, 507, 508, 523, 522, 732, 733, 748, 747
447, 508, 509, 524, 523, 733, 734, 749, 748
448, 509, 510, 525, 524, 734, 735, 750, 749
449, 511, 512, 527, 526, 736, 737, 752, 751
450, 512, 513, 528, 527, 737, 738, 753, 752
451, 513, 514, 529, 528, 738, 739, 754, 753
452, 514, 515, 530, 529, 739, 740, 755, 754
453, 515, 516, 531, 530, 740, 741, 756, 755
454, 516, 517, 532, 531, 741, 742, 757, 756
455, 517, 518, 533, 532, 742, 743, 758, 757
456, 518, 519, 534, 533, 743, 744, 759, 758
457, 519, 520, 535, 534, 744, 745, 760, 759
458, 520, 521, 536, 535, 745, 746, 761, 760
459, 521, 522, 537, 536, 746, 747, 762, 761
460, 522, 523, 538, 537, 747, 748, 763, 762
461, 523, 524, 539, 538, 748, 749, 764, 763
462, 524, 525, 540, 539, 749, 750, 765, 764
463, 526, 527, 542, 541, 751, 752, 767, 766
464, 527, 528, 543, 542, 752, 753, 768, 767
465, 528, 529, 544, 543, 753, 754, 769, 768
466, 529, 530, 545, 544, 754, 755, 770, 769
467, 530, 531, 546, 545, 755, 756, 771, 770
468, 531, 532, 547, 546, 756, 757, 772, 771
469, 532, 533, 548, 547, 757, 758, 773, 772
470, 533, 534, 549, 548, 758, 759, 774, 773
471, 534, 535, 550, 549, 759, 760, 775, 774
472, 535, 536, 551, 550, 760, 761, 776, 775
473, 536, 537, 552, 551, 761, 762, 777, 776
474, 537, 538, 553, 552, 762, 763, 778, 777
475, 538, 539, 554, 553, 763, 764, 779, 778
476, 539, 540, 555, 554, 764, 765, 780, 779
477, 541, 542, 557, 556, 766, 767, 782, 781
478, 542, 543, 558, 557, 767, 768, 783, 782
479, 543, 544, 559, 558, 768, 769, 784, 783
480, 544, 545, 560, 559, 769, 770, 785, 784
481, 545, 546, 561, 560, 770, 771, 786, 785
482, 546, 547, 562, 561, 771, 772, 787, 786
483, 547, 548, 563, 562, 772, 773, 788, 787
484, 548, 549, 564, 563, 773, 774, 789, 788
485, 549, 550, 565, 564, 774, 775, 790, 789
486, 550, 551, 566, 565, 775, 776, 791, 790
487, 551, 552, 567, 566, 776, 777, 792, 791
488, 552, 553, 568, 567, 777, 778, 793, 792
489, 553, 554, 569, 568, 778, 779, 794, 793
490, 554, 555, 570, 569, 779, 780, 795, 794
491, 556, 557, 572, 571, 781, 782, 797, 796
492, 557, 558, 573, 572, 782, 783, 798, 797
493, 558, 559, 574, 573, 783, 784, 799, 798
494, 559, 560, 575, 574, 784, 785, 800, 799
495, 560, 561, 576, 575, 785, 786, 801, 800
496, 561, 562, 577, 576, 786, 787, 802, 801
497, 562, 563, 578, 577, 787, 788, 803, 802
498, 563, 564, 579, 578, 788, 789, 804, 803
499, 564, 565, 580, 579, 789, 790, 805, 804
500, 565, 566, 581, 580, 790, 791, 806, 805
501, 566, 567, 582, 581, 791, 792, 807, 806
502, 567, 568, 583, 582, 792, 793, 808, 807
503, 568, 569, 584, 583, 793, 794, 809, 808
504, 569, 570, 585, 584, 794, 795, 810, 809
505, 571, 572, 587, 586, 796, 797, 812, 811
506, 572, 573, 588, 587, 797, 798, 813, 812
507, 573, 574, 589, 588, 798, 799, 814, 813
508, 574, 575, 590, 589, 799, 800, 815, 814
509, 575, 576, 591, 590, 800, 801, 816, 815
510, 576, 577, 592, 591, 801, 802, 817, 816
511, 577, 578, 593, 592, 802, 803, 818, 817
512, 578, 579, 594, 593, 803, 804, 819, 818
513, 579, 580, 595, 594, 804, 805, 820, 819
514, 580, 581, 596, 595, 805, 806, 821, 820
515, 581, 582, 597, 596, 806, 807, 822, 821
516, 582, 583, 598, 597, 807, 808, 823, 822
517, 583, 584, 599, 598, 808, 809, 824, 823
518, 584, 585, 600, 599, 809, 810, 825, 824
519, 586, 587, 602, 601, 811, 812, 827, 826
520, 587, 588, 603, 602, 812, 813, 828, 827
521, 588, 589, 604, 603, 813, 814, 829, 828
522, 589, 590, 605, 604, 814, 815, 830, 829
523, 590, 591, 606, 605, 815, 816, 831, 830
524, 591, 592, 607, 606, 816, 817, 832, 831
525, 592, 593, 608, 607, 817, 818, 833, 832
526, 593, 594, 609, 608, 818, 819, 834, 833
527, 594, 595, 610, 609, 819, 820, 835, 834
528, 595, 596, 611, 610, 820, 821, 836, 835
529, 596, 597, 612, 611, 821, 822, 837, 836
530, 597, 598, 613, 612, 822, 823, 838, 837
531, 598, 599, 614, 613, 823, 824, 839, 838
532, 599, 600, 615, 614, 824, 825, 840, 839
533, 601, 602, 617, 616, 826, 827, 842, 841
534, 602, 603, 618, 617, 827, 828, 843, 842
535, 603, 604, 619, 618, 828, 829, 844, 843
536, 604, 605, 620, 619, 829, 830, 845, 844
537, 605, 606, 621, 620, 830, 831, 846, 845
538, 606, 607, 622, 621, 831, 832, 847, 846
539, 607, 608, 623, 622, 832, 833, 848, 847
540, 608, 609, 624, 623, 833, 834, 849, 848
541, 609, 610, 625, 624, 834, 835, 850, 849
542, 610, 611, 626, 625, 835, 836, 851, 850
543, 611, 612, 627, 626, 836, 837, 852, 851
544, 612, 613, 628, 627, 837, 838, 853, 852
545, 613, 614, 629, 628, 838, 839, 854, 853
546, 614, 615, 630, 629, 839, 840, 855, 854
547, 616, 617, 632, 631, 841, 842, 857, 856
548, 617, 618, 633, 632, 842, 843, 858, 857
549, 618, 619, 634, 633, 843, 844, 859, 858
550, 619, 620, 635, 634, 844, 845, 860, 859
551, 620, 621, 636, 635, 845, 846, 861, 860
552, 621, 622, 637, 636, 846, 847, 862, 861
553, 622, 623, 638, 637, 847, 848, 863, 862
554, 623, 624, 639, 638, 848, 849, 864, 863
555, 624, 625, 640, 639, 849, 850, 865, 864
556, 625, 626, 641, 640, 850, 851, 866, 865
557, 626, 627, 642, 641, 851, 852, 867, 866
558, 627, 628, 643, 642, 852, 853, 868, 867
559, 628, 629, 644, 643, 853, 854, 869, 868
560, 629, 630, 645, 644, 854, 855, 870, 869
561, 631, 632, 647, 646, 856, 857, 872, 871
562, 632, 633, 648, 647, 857, 858, 873, 872
563, 633, 634, 649, 648, 858, 859, 874, 873
564, 634, 635, 650, 649, 859, 860, 875, 874
565, 635, 636, 651, 650, 860, 861, 876, 875
566, 636, 637, 652, 651, 861, 862, 877, 876
567, 637, 638, 653, 652, 862, 863, 878, 877
568, 638, 639, 654, 653, 863, 864, 879, 878
569, 639, 640, 655, 654, 864, 865, 880, 879
570, 640, 641, 656, 655, 865, 866, 881, 880
571, 641, 642, 657, 656, 866, 867, 882, 881
572, 642, 643, 658, 657, 867, 868, 883, 882
573, 643, 644, 659, 658, 868, 869, 884, 883
574, 644, 645, 660, 659, 869, 870, 885, 884
575, 646, 647, 662, 661, 871, 872, 887, 886
576, 647, 648, 663, 662, 872, 873, 888, 887
577, 648, 649, 664, 663, 873, 874, 889, 888
578, 649, 650, 665, 664, 874, 875, 890, 889
579, 650, 651, 666, 665, 875, 876, 891, 890
580, 651, 652, 667, 666, 876, 877, 892, 891
581, 652, 653, 668, 667, 877, 878, 893, 892
582, 653, 654, 669, 668, 878, 879, 894, 893
583, 654, 655, 670, 669, 879, 880, 895, 894
584, 655, 656, 671, 670, 880, 881, 896, 895
585, 656, 657, 672, 671, 881, 882, 897, 896
586, 657, 658, 673, 672, 882, 883, 898, 897
587, 658, 659, 674, 673, 883, 884, 899, 898
588, 659, 660, 675, 674, 884, 885, 900, 899
589, 676, 677, 692, 691, 901, 902, 917, 916
590, 677, 678, 693, 692, 902, 903, 918, 917
591, 678, 679, 694, 693, 903, 904, 919, 918
592, 679, 680, 695, 694, 904, 905, 920, 919
593, 680, 681, 696, 695, 905, 906, 921, 920
594, 681, 682, 697, 696, 906, 907, 922, 921
595, 682, 683, 698, 697, 907, 908, 923, 922
596, 683, 684, 699, 698, 908, 909, 924, 923
597, 684, 685, 700, 699, 909, 910, 925, 924
598, 685, 686, 701, 700, 910, 911, 926, 925
599, 686, 687, 702, 701, 911, 912, 927, 926
600, 687, 688, 703, 702, 912, 913, 928, 927
601, 688, 689, 704, 703, 913, 914, 929, 928
602, 689, 690, 705, 704, 914, 915, 930, 929
603, 691, 692, 707, 706, 916, 917, 932, 931
604, 692, 693, 708, 707, 917, 918, 933, 932
605, 693, 694, 709, 708, 918, 919, 934, 933
606, 694, 695, 710, 709, 919, 920, 935, 934
607, 695, 696, 711, 710, 920, 921, 936, 935
608, 696, 697, 712, 711, 921, 922, 937, 936
609, 697, 698, 713, 712, 922, 923, 938, 937
610, 698, 699, 714, 713, 923, 924, 939, 938
611, 699, 700, 715, 714, 924, 925, 940, 939
612, 700, 701, 716, 715, 925, 926, 941, 940
613, 701, 702, 717, 716, 926, 927, 942, 941
614, 702, 703, 718, 717, 927, 928, 943, 942
615, 703, 704, 719, 718, 928, 929, 944, 943
616, 704, 705, 720, 719, 929, 930, 945, 944
617, 706, 707, 722, 721, 931, 932, 947, 946
618, 707, 708, 723, 722, 932, 933, 948, 947
619, 708, 709, 724, 723, 933, 934, 949, 948
620, 709, 710, 725, 724, 934, 935, 950, 949
621, 710, 711, 726, 725, 935, 936, 951, 950
622, 711, 712, 727, 726, 936, 937, 952, 951
623, 712, 713, 728, 727, 937, 938, 953, 952
624, 713, 714, 729, 728, 938, 939, 954, 953
625, 714, 715, 730, 729, 939, 940, 955, 954
626, 715, 716, 731, 730, 940, 941, 956, 955
627, 716, 717, 732, 731, 941, 942, 957, 956
628, 717, 718, 733, 732, 942, 943, 958, 957
629, 718, 719, 734, 733, 943, 944, 959, 958
630, 719, 720, 735, 734, 944, 945, 960, 959
631, 721, 722, 737, 736, 946, 947, 962, 961
632, 722, 723, 738, 737, 947, 948, 963, 962
633, 723, 724, 739, 738, 948, 949, 964, 963
634, 724, 725, 740, 739, 949, 950, 965, 964
635, 725, 726, 741, 740, 950, 951, 966, 965
636, 726, 727, 742, 741, 951, 952, 967, 966
637, 727, 728, 743, 742, 952, 953, 968, 967
638, 728, 729, 744, 743, 953, 954, 969, 968
639, 729, 730, 745, 744, 954, 955, 970, 969
640, 730, 731, 746, 745, 955, 956, 971, 970
641, 731, 732, 747, 746, 956, 957, 972, 971
642, 732, 733, 748, 747, 957, 958, 973, 972
643, 733, 734, 749, 748, 958, 959, 974, 973
644, 734, 735, 750, 749, 959, 960, 975, 974
645, 736, 737, 752, 751, 961, 962, 977, 976
646, 737, 738, 753, 752, 962, 963, 978, 977
647, 738, 739, 754, 753, 963, 964, 979, 978
648, 739, 740, 755, 754, 964, 965, 980, 979
649, 740, 741, 756, 755, 965, 966, 981, 980
650, 741, 742, 757, 756, 966, 967, 982, 981
651, 742, 743, 758, 757, 967, 968, 983, 982
652, 743, 744, 759, 758, 968, 969, 984, 983
653, 744, 745, 760, 759, 969, 970, 985, 984
654, 745, 746, 761, 760, 970, 971, 986, 985
655, 746, 747, 762, 761, 971, 972, 987, 986
656, 747, 748, 763, 762, 972, 973, 988, 987
657, 748, 749, 764, 763, 973, 974, 989, 988
658, 749, 750, 765, 764, 974, 975, 990, 989
659, 751, 752, 767, 766, 976, 977, 992, 991
660, 752, 753, 768, 767, 977, 978, 993, 992
661, 753, 754, 769, 768, 978, 979, 994, 993
662, 754, 755, 770, 769, 979, 980, 995, 994
663, 755, 756, 771, 770, 980, 981, 996, 995
664, 756, 757, 772, 771, 981, 982, 997, 996
665, 757, 758, 773, 772, 982, 983, 998, 997
666, 758, 759, 774, 773, 983, 984, 999, 998
667, 759, 760, 775, 774, 984, 985, 1000, 999
668, 760, 761, 776, 775, 985, 986, 1001, 1000
669, 761, 762, 777, 776, 986, 987, 1002, 1001
670, 762, 763, 778, 777, 987, 988, 1003, 1002
671, 763, 764, 779, 778, 988, 989, 1004, 1003
672, 764, 765, 780, 779, 989, 990, 1005, 1004
673, 766, 767, 782, 781, 991, 992, 1007, 1006
674, 767, 768, 783, 782, 992, 993, 1008, 1007
675, 768, 769, 784, 783, 993, 994, 1009, 1008
676, 769, 770, 785, 784, 994, 995, 1010, 1009
677, 770, 771, 786, 785, 995, 996, 1011, 1010
678, 771, 772, 787, 786, 996, 997, 1012, 1011
679, 772, 773, 788, 787, 997, 998, 1013, 1012
680, 773, 774, 789, 788, 998, 999, 1014, 1013
681, 774, 775, 790, 789, 999, 1000, 1015, 1014
682, 775, 776, 791, 790, 1000, 1001, 1016, 1015
683, 776, 777, 792, 791, 1001, 1002, 1017, 1016
684, 777, 778, 793, 792, 1002, 1003, 1018, 1017
685, 778, 779, 794, 793, 1003, 1004, 1019, 1018
686, 779, 780, 795, 794, 1004, 1005, 1020, 1019
687, 781, 782, 797, 796, 1006, 1007, 1022, 1021
688, 782, 783, 798, 797, 1007, 1008, 1023, 1022
689, 783, 784, 799, 798, 1008, 1009, 1024, 1023
690, 784, 785, 800, 799, 1009, 1010, 1025, 1024
691, 785, 786, 801, 800, 1010, 1011, 1026, 1025
692, 786, 787, 802, 801, 1011, 1012, 1027, 1026
693, 787, 788, 803, 802, 1012, 1013, 1028, 1027
694, 788, 789, 804, 803, 1013, 1014, 1029, 1028
695, 789, 790, 805, 804, 1014, 1015, 1030, 1029
696, 790, 791, 806, 805, 1015, 1016, 1031, 1030
697, 791, 792, 807, 806, 1016, 1017, 1032, 1031
698, 792, 793, 808, 807, 1017, 1018, 1033, 1032
699, 793, 794, 809, 808, 1018, 1019, 1034, 1033
700, 794, 795, 810, 809, 1019, 1020, 1035, 1034
701, 796, 797, 812, 811, 1021, 1022, 1037, 1036
702, 797, 798, 813, 812, 1022, 1023, 1038, 1037
703, 798, 799, 814, 813, 1023, 1024, 1039, 1038
704, 799, 800, 815, 814, 1024, 1025, 1040, 1039
705, 800, 801, 816, 815, 1025, 1026, 1041, 1040
706, 801, 802, 817, 816, 1026, 1027, 1042, 1041
707, 802, 803, 818, 817, 1027, 1028, 1043, 1042
708, 803, 804, 819, 818, 1028, 1029, 1044, 1043
709, 804, 805, 820, 819, 1029, 1030, 1045, 1044
710, 805, 806, 821, 820, 1030, 1031, 1046, 1045
711, 806, 807, 822, 821, 1031, 1032, 1047, 1046
712, 807, 808, 823, 822, 1032, 1033, 1048, 1047
713, 808, 809, 824, 823, 1033, 1034, 1049, 1048
714, 809, 810, 825, 824, 1034, 1035, 1050, 1049
715, 811, 812, 827, 826, 1036, 1037, 1052, 1051
716, 812, 813, 828, 827, 1037, 1038, 1053, 1052
717, 813, 814, 829, 828, 1038, 1039, 1054, 1053
718, 814, 815, 830, 829, 1039, 1040, 1055, 1054
719, 815, 816, 831, 830, 1040, 1041, 1056, 1055
720, 816, 817, 832, 831, 1041, 1042, 1057, 1056
721, 817, 818, 833, 832, 1042, 1043, 1058, 1057
722, 818, 819, 834, 833, 1043, 1044, 1059, 1058
723, 819, 820, 835, 834, 1044, 1045, 1060, 1059
724, 820, 821, 836, 835, 1045, 1046, 1061, 1060
725, 821, 822, 837, 836, 1046, 1047, 1062, 1061
726, 822, 823, 838, 837, 1047, 1048, 1063, 1062
727, 823, 824, 839, 838, 1048, 1049, 1064, 1063
728, 824, 825, 840, 839, 1049, 1050, 1065, 1064
729, 826, 827, 842, 841, 1051, 1052, 1067, 1066
730, 827, 828, 843, 842, 1052, 1053, 1068, 1067
731, 828, 829, 844, 843, 1053, 1054, 1069, 1068
732, 829, 830, 845, 844, 1054, 1055, 1070, 1069
733, 830, 831, 846, 845, 1055, 1056, 1071, 1070
734, 831, 832, 847, 846, 1056, 1057, 1072, 1071
735, 832, 833, 848, 847, 1057, 1058, 1073, 1072
736, 833, 834, 849, 848, 1058, 1059, 1074, 1073
737, 834, 835, 850, 849, 1059, 1060, 1075, 1074
738, 835, 836, 851, 850, 1060, 1061, 1076, 1075
739, 836, 837, 852, 851, 1061, 1062, 1077, 1076
740, 837, 838, 853, 852, 1062, 1063, 1078, 1077
741, 838, 839, 854, 853, 1063, 1064, 1079, 1078
742, 839, 840, 855, 854, 1064, 1065, 1080, 1079
743, 841, 842, 857, 856, 1066, 1067, 1082, 1081
744, 842, 843, 858, 857, 1067, 1068, 1083, 1082
745, 843, 844, 859, 858, 1068, 1069, 1084, 1083
746, 844, 845, 860, 859, 1069, 1070, 1085, 1084
747, 845, 846, 861, 860, 1070, 1071, 1086, 1085
748, 846, 847, 862, 861, 1071, 1072, 1087, 1086
749, 847, 848, 863, 862, 1072, 1073, 1088, 1087
750, 848, 849, 864, 863, 1073, 1074, 1089, 1088
751, 849, 850, 865, 864, 1074, 1075, 1090, 1089
752, 850, 851, 866, 865, 1075, 1076, 1091, 1090
753, 851, 852, 867, 866, 1076, 1077, 1092, 1091
754, 852, 853, 868, 867, 1077, 1078, 1093, 1092
755, 853, 854, 869, 868, 1078, 1079, 1094, 1093
756, 854, 855, 870, 869, 1079, 1080, 1095, 1094
757, 856, 857, 872, 871, 1081, 1082, 1097, 1096
758, 857, 858, 873, 872, 1082, 1083, 1098, 1097
759, 858, 859, 874, 873, 1083, 1084, 1099, 1098
760, 859, 860, 875, 874, 1084, 1085, 1100, 1099
761, 860, 861, 876, 875, 1085, 1086, 1101, 1100
762, 861, 862, 877, 876, 1086, 1087, 1102, 1101
763, 862, 863, 878, 877, 1087, 1088, 1103, 1102
764, 863, 864, 879, 878, 1088, 1089, 1104, 1103
765, 864, 865, 880, 879, 1089, 1090, 1105, 1104
766, 865, 866, 881, 880, 1090, 1091, 1106, 1105
767, 866, 867, 882, 881, 1091, 1092, 1107, 1106
768, 867, 868, 883, 882, 1092, 1093, 1108, 1107
769, 868, 869, 884, 883, 1093, 1094, 1109, 1108
770, 869, 870, 885, 884, 1094, 1095, 1110, 1109
771, 871, 872, 887, 886, 1096, 1097, 1112, 1111
772, 872, 873, 888, 887, 1097, 1098, 1113, 1112
773, 873, 874, 889, 888, 1098, 1099, 1114, 1113
774, 874, 875, 890, 889, 1099, 1100, 1115, 1114
775, 875, 876, 891, 890, 1100, 1101, 1116, 1115
776, 876, 877, 892, 891, 1101, 1102, 1117, 1116
777, 877, 878, 893, 892, 1102, 1103, 1118, 1117
778, 878, 879, 894, 893, 1103, 1104, 1119, 1118
779, 879, 880, 895, 894, 1104, 1105, 1120, 1119
780, 880, 881, 896, 895, 1105, 1106, 1121, 1120
781, 881, 882, 897, 896, 1106, 1107, 1122, 1121
782, 882, 883, 898, 897, 1107, 1108, 1123, 1122
783, 883, 884, 899, 898, 1108, 1109, 1124, 1123
784, 884, 885, 900, 899, 1109, 1110, 1125, 1124
785, 901, 902, 917, 916, 1126, 1127, 1142, 1141
786, 902, 903, 918, 917, 1127, 1128, 1143, 1142
787, 903, 904, 919, 918, 1128, 1129, 1144, 1143
788, 904, 905, 920, 919, 1129, 1130, 1145, 1144
789, 905, 906, 921, 920, 1130, 1131, 1146, 1145
790, 906, 907, 922, 921, 1131, 1132, 1147, 1146
791, 907, 908, 923, 922, 1132, 1133, 1148, 1147
792, 908, 909, 924, 923, 1133, 1134, 1149, 1148
793, 909, 910, 925, 924, 1134, 1135, 1150, 1149
794, 910, 911, 926, 925, 1135, 1136, 1151, 1150
795, 911, 912, 927, 926, 1136, 1137, 1152, 1151
796, 912, 913, 928, 927, 1137, 1138, 1153, 1152
797, 913, 914, 929, 928, 1138, 1139, 1154, 1153
798, 914, 915, 930, 929, 1139, 1140, 1155, 1154
799, 916, 917, 932, 931, 1141, 1142, 1157, 1156
800, 917, 918, 933, 932, 1142, 1143, 1158, 1157
801, 918, 919, 934, 933, 1143, 1144, 1159, 1158
802, 919, 920, 935, 934, 1144, 1145, 1160, 1159
803, 920, 921, 936, 935, 1145, 1146, 1161, 1160
804, 921, 922, 937, 936, 1146, 1147, 1162, 1161
805, 922, 923, 938, 937, 1147, 1148, 1163, 1162
806, 923, 924, 939, 938, 1148, 1149, 1164, 1163
807, 924, 925, 940, 939, 1149, 1150, 1165, 1164
808, 925, 926, 941, 940, 1150, 1151, 1166, 1165
809, 926, 927, 942, 941, 1151, 1152, 1167, 1166
810, 927, 928, 943, 942, 1152, 1153, 1168, 1167
811, 928, 929, 944, 943, 1153, 1154, 1169, 1168
812, 929, 930, 945, 944, 1154, 1155, 1170, 1169
813, 931, 932, 947, 946, 1156, 1157, 1172, 1171
814, 932, 933, 948, 947, 1157, 1158, 1173, 1172
815, 933, 934, 949, 948, 1158, 1159, 1174, 1173
816, 934, 935, 950, 949, 1159, 1160, 1175, 1174
817, 935, 936, 951, 950, 1160, 1161, 1176, 1175
818, 936, 937, 952, 951, 1161, 1162, 1177, 1176
819, 937, 938, 953, 952, 1162, 1163, 1178, 1177
820, 938, 939, 954, 953, 1163, 1164, 1179, 1178
821, 939, 940, 955, 954, 1164, 1165, 1180, 1179
822, 940, 941, 956, 955, 1165, 1166, 1181, 1180
823, 941, 942, 957, 956, 1166, 1167, 1182, 1181
824, 942, 943, 958, 957, 1167, 1168, 1183, 1182
825, 943, 944, 959, 958, 1168, 1169, 1184, 1183
826, 944, 945, 960, 959, 1169, 1170, 1185, 1184
827, 946, 947, 962, 961, 1171, 1172, 1187, 1186
828, 947, 948, 963, 962, 1172, 1173, 1188, 1187
829, 948, 949, 964, 963, 1173, 1174, 1189, 1188
830, 949, 950, 965, 964, 1174, 1175, 1190, 1189
831, 950, 951, 966, 965, 1175, 1176, 1191, 1190
832, 951, 952, 967, 966, 1176, 1177, 1192, 1191
833, 952, 953, 968, 967, 1177, 1178, 1193, 1192
834, 953, 954, 969, 968, 1178, 1179, 1194, 1193
835, 954, 955, 970, 969, 1179, 1180, 1195, 1194
836, 955, 956, 971, 970, 1180, 1181, 1196, 1195
837, 956, 957, 972, 971, 1181, 1182, 1197, 1196
838, 957, 958, 973, 972, 1182, 1183, 1198, 1197
839, 958, 959, 974, 973, 1183, 1184, 1199, 1198
840, 959, 960, 975, 974, 1184, 1185, 1200, 1199
841, 961, 962, 977, 976, 1186, 1187, 1202, 1201
842, 962, 963, 978, 977, 1187, 1188, 1203, 1202
843, 963, 964, 979, 978, 1188, 1189, 1204, 1203
844, 964, 965, 980, 979, 1189, 1190, 1205, 1204
845, 965, 966, 981, 980, 1190, 1191, 1206, 1205
846, 966, 967, 982, 981, 1191, 1192, 1207, 1206
847, 967, 968, 983, 982, 1192, 1193, 1208, 1207
848, 968, 969, 984, 983, 1193, 1194, 1209, 1208
849, 969, 970, 985, 984, 1194, 1195, 1210, 1209
850, 970, 971, 986, 985, 1195, 1196, 1211, 1210
851, 971, 972, 987, 986, 1196, 1197, 1212, 1211
852, 972, 973, 988, 987, 1197, 1198, 1213, 1212
853, 973, 974, 989, 988, 1198, 1199, 1214, 1213
854, 974, 975, 990, 989, 1199, 1200, 1215, 1214
855, 976, 977, 992, 991, 1201, 1202, 1217, 1216
856, 977, 978, 993, 992, 1202, 1203, 1218, 1217
857, 978, 979, 994, 993, 1203, 1204, 1219, 1218
858, 979, 980, 995, 994, 1204, 1205, 1220, 1219
859, 980, 981, 996, 995, 1205, 1206, 1221, 1220
860, 981, 982, 997, 996, 1206, 1207, 1222, 1221
861, 982, 983, 998, 997, 1207, 1208, 1223, 1222
862, 983, 984, 999, 998, 1208, 1209, 1224, 1223
863, 984, 985, 1000, 999, 1209, 1210, 1225, 1224
864, 985, 986, 1001, 1000, 1210, 1211, 1226, 1225
865, 986, 987, 1002, 1001, 1211, 1212, 1227, 1226
866, 987, 988, 1003, 1002, 1212, 1213, 1228, 1227
867, 988, 989, 1004, 1003, 1213, 1214, 1229, 1228
868, 989, 990, 1005, 1004, 1214, 1215, 1230, 1229
869, 991, 992, 1007, 1006, 1216, 1217, 1232, 1231
870, 992, 993, 1008, 1007, 1217, 1218, 1233, 1232
871, 993, 994, 1009, 1008, 1218, 1219, 1234, 1233
872, 994, 995, 1010, 1009, 1219, 1220, 1235, 1234
873, 995, 996, 1011, 1010, 1220, 1221, 1236, 1235
874, 996, 997, 1012, 1011, 1221, 1222, 1237, 1236
875, 997, 998, 1013, 1012, 1222, 1223, 1238, 1237
876, 998, 999, 1014, 1013, 1223, 1224, 1239, 1238
877, 999, 1000, 1015, 1014, 1224, 1225, 1240, 1239
878, 1000, 1001, 1016, 1015, 1225, 1226, 1241, 1240
879, 1001, 1002, 1017, 1016, 1226, 1227, 1242, 1241
880, 1002, 1003, 1018, 1017, 1227, 1228, 1243, 1242
881, 1003, 1004, 1019, 1018, 1228, 1229, 1244, 1243
882, 1004, 1005, 1020, 1019, 1229, 1230, 1245, 1244
883, 1006, 1007, 1022, 1021, 1231, 1232, 1247, 1246
884, 1007, 1008, 1023, 1022, 1232, 1233, 1248, 1247
885, 1008, 1009, 1024, 1023, 1233, 1234, 1249, 1248
886, 1009, 1010, 1025, 1024, 1234, 1235, 1250, 1249
887, 1010, 1011, 1026, 1025, 1235, 1236, 1251, 1250
888, 1011, 1012, 1027, 1026, 1236, 1237, 1252, 1251
889, 1012, 1013, 1028, 1027, 1237, 1238, 1253, 1252
890, 1013, 1014, 1029, 1028, 1238, 1239, 1254, 1253
891, 1014, 1015, 1030, 1029, 1239, 1240, 1255, 1254
892, 1015, 1016, 1031, 1030, 1240, 1241, 1256, 1255
893, 1016, 1017, 1032, 1031, 1241, 1242, 1257, 1256
894, 1017, 1018, 1033, 1032, 1242, 1243, 1258, 1257
895, 1018, 1019, 1034, 1033, 1243, 1244, 1259, 1258
896, 1019, 1020, 1035, 1034, 1244, 1245, 1260, 1259
897, 1021, 1022, 1037, 1036, 1246, 1247, 1262, 1261
898, 1022, 1023, 1038, 1037, 1247, 1248, 1263, 1262
899, 1023, 1024, 1039, 1038, 1248, 1249, 1264, 1263
900, 1024, 1025, 1040, 1039, 1249, 1250, 1265, 1264
901, 1025, 1026, 1041, 1040, 1250, 1251, 1266, 1265
902, 1026, 1027, 1042, 1041, 1251, 1252, 1267, 1266
903, 1027, 1028, 1043, 1042, 1252, 1253, 1268, 1267
904, 1028, 1029, 1044, 1043, 1253, 1254, 1269, 1268
905, 1029, 1030, 1045, 1044, 1254, 1255, 1270, 1269
906, 1030, 1031, 1046, 1045, 1255, 1256, 1271, 1270
907, 1031, 1032, 1047, 1046, 1256, 1257, 1272, 1271
908, 1032, 1033, 1048, 1047, 1257, 1258, 1273, 1272
909, 1033, 1034, 1049, 1048, 1258, 1259, 1274, 1273
910, 1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274
911, 1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276
912, 1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277
913, 1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278
914, 1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279
915, 1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280
916, 1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281
917, 1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282
918, 1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283
919, 1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284
920, 1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285
921, 1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286
922, 1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287
923, 1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288
924, 1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289
925, 1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291
926, 1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292
927, 1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293
928, 1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294
929, 1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295
930, 1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296
931, 1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297
932, 1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298
933, 1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299
934, 1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300
935, 1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301
936, 1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302
937, 1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303
938, 1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304
939, 1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306
940, 1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307
941, 1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308
942, 1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309
943, 1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310
944, 1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311
945, 1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312
946, 1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313
947, 1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314
948, 1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315
949, 1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316
950, 1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317
951, 1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318
952, 1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319
953, 1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321
954, 1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322
955, 1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323
956, 1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324
957, 1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325
958, 1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326
959, 1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327
960, 1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328
961, 1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329
962, 1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330
963, 1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331
964, 1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332
965, 1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333
966, 1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334
967, 1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336
968, 1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337
969, 1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338
970, 1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339
971, 1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340
972, 1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341
973, 1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342
974, 1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343
975, 1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344
976, 1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345
977, 1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346
978, 1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347
979, 1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348
980, 1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349
981, 1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366
982, 1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367
983, 1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368
984, 1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369
985, 1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370
986, 1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371
987, 1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372
988, 1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373
989, 1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374
990, 1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375
991, 1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376
992, 1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377
993, 1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378
994, 1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379
995, 1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381
996, 1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382
997, 1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383
998, 1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384
999, 1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385
1000, 1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386
1001, 1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387
1002, 1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388
1003, 1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389
1004, 1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390
1005, 1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391
1006, 1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392
1007, 1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393
1008, 1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394
1009, 1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396
1010, 1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397
1011, 1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398
1012, 1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399
1013, 1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400
1014, 1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401
1015, 1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402
1016, 1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403
1017, 1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404
1018, 1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405
1019, 1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406
1020, 1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407
1021, 1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408
1022, 1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409
1023, 1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411
1024, 1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412
1025, 1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413
1026, 1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414
1027, 1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415
1028, 1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416
1029, 1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417
1030, 1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418
1031, 1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419
1032, 1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420
1033, 1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421
1034, 1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422
1035, 1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423
1036, 1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424
1037, 1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426
1038, 1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427
1039, 1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428
1040, 1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429
1041, 1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430
1042, 1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431
1043, 1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432
1044, 1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433
1045, 1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434
1046, 1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435
1047, 1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436
1048, 1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437
1049, 1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438
1050, 1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439
1051, 1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441
1052, 1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442
1053, 1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443
1054, 1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444
1055, 1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445
1056, 1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446
1057, 1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447
1058, 1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448
1059, 1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449
1060, 1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450
1061, 1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451
1062, 1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452
1063, 1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453
1064, 1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454
1065, 1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456
1066, 1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457
1067, 1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458
1068, 1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459
1069, 1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460
1070, 1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461
1071, 1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462
1072, 1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463
1073, 1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464
1074, 1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465
1075, 1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466
1076, 1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467
1077, 1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468
1078, 1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469
1079, 1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471
1080, 1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472
1081, 1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473
1082, 1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474
1083, 1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475
1084, 1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476
1085, 1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477
1086, 1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478
1087, 1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479
1088, 1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480
1089, 1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481
1090, 1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482
1091, 1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483
1092, 1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484
1093, 1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486
1094, 1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487
1095, 1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488
1096, 1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489
1097, 1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490
1098, 1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491
1099, 1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492
1100, 1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493
1101, 1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494
1102, 1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495
1103, 1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496
1104, 1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497
1105, 1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498
1106, 1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499
1107, 1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501
1108, 1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502
1109, 1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503
1110, 1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504
1111, 1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505
1112, 1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506
1113, 1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507
1114, 1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508
1115, 1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509
1116, 1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510
1117, 1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511
1118, 1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512
1119, 1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513
1120, 1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514
1121, 1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516
1122, 1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517
1123, 1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518
1124, 1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519
1125, 1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520
1126, 1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521
1127, 1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522
1128, 1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523
1129, 1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524
1130, 1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525
1131, 1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526
1132, 1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527
1133, 1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528
1134, 1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529
1135, 1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531
1136, 1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532
1137, 1293, 1294, 1309, 1308, 1518, 1519, 1534, 1533
1138, 1294, 1295, 1310, 1309, 1519, 1520, 1535, 1534
1139, 1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535
1140, 1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536
1141, 1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537
1142, 1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538
1143, 1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539
1144, 1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540
1145, 1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541
1146, 1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542
1147, 1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543
1148, 1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544
1149, 1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546
1150, 1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547
1151, 1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548
1152, 1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549
1153, 1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550
1154, 1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551
1155, 1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552
1156, 1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553
1157, 1314, 1315, 1330, 1329, 1539, 1540, 1555, 1554
1158, 1315, 1316, 1331, 1330, 1540, 1541, 1556, 1555
1159, 1316, 1317, 1332, 1331, 1541, 1542, 1557, 1556
1160, 1317, 1318, 1333, 1332, 1542, 1543, 1558, 1557
1161, 1318, 1319, 1334, 1333, 1543, 1544, 1559, 1558
1162, 1319, 1320, 1335, 1334, 1544, 1545, 1560, 1559
1163, 1321, 1322, 1337, 1336, 1546, 1547, 1562, 1561
1164, 1322, 1323, 1338, 1337, 1547, 1548, 1563, 1562
1165, 1323, 1324, 1339, 1338, 1548, 1549, 1564, 1563
1166, 1324, 1325, 1340, 1339, 1549, 1550, 1565, 1564
1167, 1325, 1326, 1341, 1340, 1550, 1551, 1566, 1565
1168, 1326, 1327, 1342, 1341, 1551, 1552, 1567, 1566
1169, 1327, 1328, 1343, 1342, 1552, 1553, 1568, 1567
1170, 1328, 1329, 1344, 1343, 1553, 1554, 1569, 1568
1171, 1329, 1330, 1345, 1344, 1554, 1555, 1570, 1569
1172, 1330, 1331, 1346, 1345, 1555, 1556, 1571, 1570
1173, 1331, 1332, 1347, 1346, 1556, 1557, 1572, 1571
1174, 1332, 1333, 1348, 1347, 1557, 1558, 1573, 1572
1175, 1333, 1334, 1349, 1348, 1558, 1559, 1574, 1573
1176, 1334, 1335, 1350, 1349, 1559, 1560, 1575, 1574
1177, 1351, 1352, 1367, 1366, 1576, 1577, 1592, 1591
1178, 1352, 1353, 1368, 1367, 1577, 1578, 1593, 1592
1179, 1353, 1354, 1369, 1368, 1578, 1579, 1594, 1593
1180, 1354, 1355, 1370, 1369, 1579, 1580, 1595, 1594
1181, 1355, 1356, 1371, 1370, 1580, 1581, 1596, 1595
1182, 1356, 1357, 1372, 1371, 1581, 1582, 1597, 1596
1183, 1357, 1358, 1373, 1372, 1582, 1583, 1598, 1597
1184, 1358, 1359, 1374, 1373, 1583, 1584, 1599, 1598
1185, 1359, 1360, 1375, 1374, 1584, 1585, 1600, 1599
1186, 1360, 1361, 1376, 1375, 1585, 1586, 1601, 1600
1187, 1361, 1362, 1377, 1376, 1586, 1587, 1602, 1601
1188, 1362, 1363, 1378, 1377, 1587, 1588, 1603, 1602
1189, 1363, 1364, 1379, 1378, 1588, 1589, 1604, 1603
1190, 1364, 1365, 1380, 1379, 1589, 1590, 1605, 1604
1191, 1366, 1367, 1382, 1381, 1591, 1592, 1607, 1606
1192, 1367, 1368, 1383, 1382, 1592, 1593, 1608, 1607
1193, 1368, 1369, 1384, 1383, 1593, 1594, 1609, 1608
1194, 1369, 1370, 1385, 1384, 1594, 1595, 1610, 1609
1195, 1370, 1371, 1386, 1385, 1595, 1596, 1611, 1610
1196, 1371, 1372, 1387, 1386, 1596, 1597, 1612, 1611
1197, 1372, 1373, 1388, 1387, 1597, 1598, 1613, 1612
1198, 1373, 1374, 1389, 1388, 1598, 1599, 1614, 1613
1199, 1374, 1375, 1390, 1389, 1599, 1600, 1615, 1614
1200, 1375, 1376, 1391, 1390, 1600, 1601, 1616, 1615
1201, 1376, 1377, 1392, 1391, 1601, 1602, 1617, 1616
1202, 1377, 1378, 1393, 1392, 1602, 1603, 1618, 1617
1203, 1378, 1379, 1394, 1393, 1603, 1604, 1619, 1618
1204, 1379, 1380, 1395, 1394, 1604, 1605, 1620, 1619
1205, 1381, 1382, 1397, 1396, 1606, 1607, 1622, 1621
1206, 1382, 1383, 1398, 1397, 1607, 1608, 1623, 1622
1207, 1383, 1384, 1399, 1398, 1608, 1609, 1624, 1623
1208, 1384, 1385, 1400, 1399, 1609, 1610, 1625, 1624
1209, 1385, 1386, 1401, 1400, 1610, 1611, 1626, 1625
1210, 1386, 1387, 1402, 1401, 1611, 1612, 1627, 1626
1211, 1387, 1388, 1403, 1402, 1612, 1613, 1628, 1627
1212, 1388, 1389, 1404, 1403, 1613, 1614, 1629, 1628
1213, 1389, 1390, 1405, 1404, 1614, 1615, 1630, 1629
1214, 1390, 1391, 1406, 1405, 1615, 1616, 1631, 1630
1215, 1391, 1392, 1407, 1406, 1616, 1617, 1632, 1631
1216, 1392, 1393, 1408, 1407, 1617, 1618, 1633, 1632
1217, 1393, 1394, 1409, 1408, 1618, 1619, 1634, 1633
1218, 1394, 1395, 1410, 1409, 1619, 1620, 1635, 1634
1219, 1396, 1397, 1412, 1411, 1621, 1622, 1637, 1636
1220, 1397, 1398, 1413, 1412, 1622, 1623, 1638, 1637
1221, 1398, 1399, 1414, 1413, 1623, 1624, 1639, 1638
1222, 1399, 1400, 1415, 1414, 1624, 1625, 1640, 1639
1223, 1400, 1401, 1416, 1415, 1625, 1626, 1641, 1640
1224, 1401, 1402, 1417, 1416, 1626, 1627, 1642, 1641
1225, 1402, 1403, 1418, 1417, 1627, 1628, 1643, 1642
1226, 1403, 1404, 1419, 1418, 1628, 1629, 1644, 1643
1227, 1404, 1405, 1420, 1419, 1629, 1630, 1645, 1644
1228, 1405, 1406, 1421, 1420, 1630, 1631, 1646, 1645
1229, 1406, 1407, 1422, 1421, 1631, 1632, 1647, 1646
1230, 1407, 1408, 1423, 1422, 1632, 1633, 1648, 1647
1231, 1408, 1409, 1424, 1423, 1633, 1634, 1649, 1648
1232, 1409, 1410, 1425, 1424, 1634, 1635, 1650, 1649
1233, 1411, 1412, 1427, 1426, 1636, 1637, 1652, 1651
1234, 1412, 1413, 1428, 1427, 1637, 1638, 1653, 1652
1235, 1413, 1414, 1429, 1428, 1638, 1639, 1654, 1653
1236, 1414, 1415, 1430, 1429, 1639, 1640, 1655, 1654
1237, 1415, 1416, 1431, 1430, 1640, 1641, 1656, 1655
1238, 1416, 1417, 1432, 1431, 1641, 1642, 1657, 1656
1239, 1417, 1418, 1433, 1432, 1642, 1643, 1658, 1657
1240, 1418, 1419, 1434, 1433, 1643, 1644, 1659, 1658
1241, 1419, 1420, 1435, 1434, 1644, 1645, 1660, 1659
1242, 1420, 1421, 1436, 1435, 1645, 1646, 1661, 1660
1243, 1421, 1422, 1437, 1436, 1646, 1647, 1662, 1661
1244, 1422, 1423, 1438, 1437, 1647, 1648, 1663, 1662
1245, 1423, 1424, 1439, 1438, 1648, 1649, 1664, 1663
1246, 1424, 1425, 1440, 1439, 1649, 1650, 1665, 1664
1247, 1426, 1427, 1442, 1441, 1651, 1652, 1667, 1666
1248, 1427, 1428, 1443, 1442, 1652, 1653, 1668, 1667
1249, 1428, 1429, 1444, 1443, 1653, 1654, 1669, 1668
1250, 1429, 1430, 1445, 1444, 1654, 1655, 1670, 1669
1251, 1430, 1431, 1446, 1445, 1655, 1656, 1671, 1670
1252, 1431, 1432, 1447, 1446, 1656, 1657, 1672, 1671
1253, 1432, 1433, 1448, 1447, 1657, 1658, 1673, 1672
1254, 1433, 1434, 1449, 1448, 1658, 1659, 1674, 1673
1255, 1434, 1435, 1450, 1449, 1659, 1660, 1675, 1674
1256, 1435, 1436, 1451, 1450, 1660, 1661, 1676, 1675
1257, 1436, 1437, 1452, 1451, 1661, 1662, 1677, 1676
1258, 1437, 1438, 1453, 1452, 1662, 1663, 1678, 1677
1259, 1438, 1439, 1454, 1453, 1663, 1664, 1679, 1678
1260, 1439, 1440, 1455, 1454, 1664, 1665, 1680, 1679
1261, 1441, 1442, 1457, 1456, 1666, 1667, 1682, 1681
1262, 1442, 1443, 1458, 1457, 1667, 1668, 1683, 1682
1263, 1443, 1444, 1459, 1458, 1668, 1669, 1684, 1683
1264, 1444, 1445, 1460, 1459, 1669, 1670, 1685, 1684
1265, 1445, 1446, 1461, 1460, 1670, 1671, 1686, 1685
1266, 1446, 1447, 1462, 1461, 1671, 1672, 1687, 1686
1267, 1447, 1448, 1463, 1462, 1672, 1673, 1688, 1687
1268, 1448, 1449, 1464, 1463, 1673, 1674, 1689, 1688
1269, 1449, 1450, 1465, 1464, 1674, 1675, 1690, 1689
1270, 1450, 1451, 1466, 1465, 1675, 1676, 1691, 1690
1271, 1451, 1452, 1467, 1466, 1676, 1677, 1692, 1691
1272, 1452, 1453, 1468, 1467, 1677, 1678, 1693, 1692
1273, 1453, 1454, 1469, 1468, 1678, 1679, 1694, 1693
1274, 1454, 1455, 1470, 1469, 1679, 1680, 1695, 1694
1275, 1456, 1457, 1472, 1471, 1681, 1682, 1697, 1696
1276, 1457, 1458, 1473, 1472, 1682, 1683, 1698, 1697
1277, 1458, 1459, 1474, 1473, 1683, 1684, 1699, 1698
1278, 1459, 1460, 1475, 1474, 1684, 1685, 1700, 1699
1279, 1460, 1461, 1476, 1475, 1685, 1686, 1701, 1700
1280, 1461, 1462, 1477, 1476, 1686, 1687, 1702, 1701
1281, 1462, 1463, 1478, 1477, 1687, 1688, 1703, 1702
1282, 1463, 1464, 1479, 1478, 1688, 1689, 1704, 1703
1283, 1464, 1465, 1480, 1479, 1689, 1690, 1705, 1704
1284, 1465, 1466, 1481, 1480, 1690, 1691, 1706, 1705
1285, 1466, 1467, 1482, 1481, 1691, 1692, 1707, 1706
1286, 1467, 1468, 1483, 1482, 1692, 1693, 1708, 1707
1287, 1468, 1469, 1484, 1483, 1693, 1694, 1709, 1708
1288, 1469, 1470, 1485, 1484, 1694, 1695, 1710, 1709
1289, 1471, 1472, 1487, 1486, 1696, 1697, 1712, 1711
1290, 1472, 1473, 1488, 1487, 1697, 1698, 1713, 1712
1291, 1473, 1474, 1489, 1488, 1698, 1699, 1714, 1713
1292, 1474, 1475, 1490, 1489, 1699, 1700, 1715, 1714
1293, 1475, 1476, 1491, 1490, 1700, 1701, 1716, 1715
1294, 1476, 1477, 1492, 1491, 1701, 1702, 1717, 1716
1295, 1477, 1478, 1493, 1492, 1702, 1703, 1718, 1717
1296, 1478, 1479, 1494, 1493, 1703, 1704, 1719, 1718
1297, 1479, 1480, 1495, 1494, 1704, 1705, 1720, 1719
1298, 1480, 1481, 1496, 1495, 1705, 1706, 1721, 1720
1299, 1481, 1482, 1497, 1496, 1706, 1707, 1722, 1721
1300, 1482, 1483, 1498, 1497, 1707, 1708, 1723, 1722
1301, 1483, 1484, 1499, 1498, 1708, 1709, 1724, 1723
1302, 1484, 1485, 1500, 1499, 1709, 1710, 1725, 1724
1303, 1486, 1487, 1502, 1501, 1711, 1712, 1727, 1726
1304, 1487, 1488, 1503, 1502, 1712, 1713, 1728, 1727
1305, 1488, 1489, 1504, 1503, 1713, 1714, 1729, 1728
1306, 1489, 1490, 1505, 1504, 1714, 1715, 1730, 1729
1307, 1490, 1491, 1506, 1505, 1715, 1716, 1731, 1730
1308, 1491, 1492, 1507, 1506, 1716, 1717, 1732, 1731
1309, 1492, 1493, 1508, 1507, 1717, 1718, 1733, 1732
1310, 1493, 1494, 1509, 1508, 1718, 1719, 1734, 1733
1311, 1494, 1495, 1510, 1509, 1719, 1720, 1735, 1734
1312, 1495, 1496, 1511, 1510, 1720, 1721, 1736, 1735
1313, 1496, 1497, 1512, 1511, 1721, 1722, 1737, 1736
1314, 1497, 1498, 1513, 1512, 1722, 1723, 1738, 1737
1315, 1498, 1499, 1514, 1513, 1723, 1724, 1739, 1738
1316, 1499, 1500, 1515, 1514, 1724, 1725, 1740, 1739
1317, 1501, 1502, 1517, 1516, 1726, 1727, 1742, 1741
1318, 1502, 1503, 1518, 1517, 1727, 1728, 1743, 1742
1319, 1503, 1504, 1519, 1518, 1728, 1729, 1744, 1743
1320, 1504, 1505, 1520, 1519, 1729, 1730, 1745, 1744
1321, 1505, 1506, 1521, 1520, 1730, 1731, 1746, 1745
1322, 1506, 1507, 1522, 1521, 1731, 1732, 1747, 1746
1323, 1507, 1508, 1523, 1522, 1732, 1733, 1748, 1747
1324, 1508, 1509, 1524, 1523, 1733, 1734, 1749, 1748
1325, 1509, 1510, 1525, 1524, 1734, 1735, 1750, 1749
1326, 1510, 1511, 1526, 1525, 1735, 1736, 1751, 1750
1327, 1511, 1512, 1527, 1526, 1736, 1737, 1752, 1751
1328, 1512, 1513, 1528, 1527, 1737, 1738, 1753, 1752
1329, 1513, 1514, 1529, 1528, 1738, 1739, 1754, 1753
1330, 1514, 1515, 1530, 1529, 1739, 1740, 1755, 1754
1331, 1516, 1517, 1532, 1531, 1741, 1742, 1757, 1756
1332, 1517, 1518, 1533, 1532, 1742, 1743, 1758, 1757
1333, 1518, 1519, 1534, 1533, 1743, 1744, 1759, 1758
1334, 1519, 1520, 1535, 1534, 1744, 1745, 1760, 1759
1335, 1520, 1521, 1536, 1535, 1745, 1746, 1761, 1760
1336, 1521, 1522, 1537, 1536, 1746, 1747, 1762, 1761
1337, 1522, 1523, 1538, 1537, 1747, 1748, 1763, 1762
1338, 1523, 1524, 1539, 1538, 1748, 1749, 1764, 1763
1339, 1524, 1525, 1540, 1539, 1749, 1750, 1765, 1764
1340, 1525, 1526, 1541, 1540, 1750, 1751, 1766, 1765
1341, 1526, 1527, 1542, 1541, 1751, 1752, 1767, 1766
1342, 1527, 1528, 1543, 1542, 1752, 1753, 1768, 1767
1343, 1528, 1529, 1544, 1543, 1753, 1754, 1769, 1768
1344, 1529, 1530, 1545, 1544, 1754, 1755, 1770, 1769
1345, 1531, 1532, 1547, 1546, 1756, 1757, 1772, 1771
1346, 1532, 1533, 1548, 1547, 1757, 1758, 1773, 1772
1347, 1533, 1534, 1549, 1548, 1758, 1759, 1774, 1773
1348, 1534, 1535, 1550, 1549, 1759, 1760, 1775, 1774
1349, 1535, 1536, 1551, 1550, 1760, 1761, 1776, 1775
1350, 1536, 1537, 1552, 1551, 1761, 1762, 1777, 1776
1351, 1537, 1538, 1553, 1552, 1762, 1763, 1778, 1777
1352, 1538, 1539, 1554, 1553, 1763, 1764, 1779, 1778
1353, 1539, 1540, 1555, 1554, 1764, 1765, 1780, 1779
1354, 1540, 1541, 1556, 1555, 1765, 1766, 1781, 1780
1355, 1541, 1542, 1557, 1556, 1766, 1767, 1782, 1781
1356, 1542, 1543, 1558, 1557, 1767, 1768, 1783, 1782
1357, 1543, 1544, 1559, 1558, 1768, 1769, 1784, 1783
1358, 1544, 1545, 1560, 1559, 1769, 1770, 1785, 1784
1359, 1546, 1547, 1562, 1561, 1771, 1772, 1787, 1786
1360, 1547, 1548, 1563, 1562, 1772, 1773, 1788, 1787
1361, 1548, 1549, 1564, 1563, 1773, 1774, 1789, 1788
1362, 1549, 1550, 1565, 1564, 1774, 1775, 1790, 1789
1363, 1550, 1551, 1566, 1565, 1775, 1776, 1791, 1790
1364, 1551, 1552, 1567, 1566, 1776, 1777, 1792, 1791
1365, 1552, 1553, 1568, 1567, 1777, 1778, 1793, 1792
1366, 1553, 1554, 1569, 1568, 1778, 1779, 1794, 1793
1367, 1554, 1555, 1570, 1569, 1779, 1780, 1795, 1794
1368, 1555, 1556, 1571, 1570, 1780, 1781, 1796, 1795
1369, 1556, 1557, 1572, 1571, 1781, 1782, 1797, 1796
1370, 1557, 1558, 1573, 1572, 1782, 1783, 1798, 1797
1371, 1558, 1559, 1574, 1573, 1783, 1784, 1799, 1798
1372, 1559, 1560, 1575, 1574, 1784, 1785, 1800, 1799
1373, 1576, 1577, 1592, 1591, 1801, 1802, 1817, 1816
1374, 1577, 1578, 1593, 1592, 1802, 1803, 1818, 1817
1375, 1578, 1579, 1594, 1593, 1803, 1804, 1819, 1818
1376, 1579, 1580, 1595, 1594, 1804, 1805, 1820, 1819
1377, 1580, 1581, 1596, 1595, 1805, 1806, 1821, 1820
1378, 1581, 1582, 1597, 1596, 1806, 1807, 1822, 1821
1379, 1582, 1583, 1598, 1597, 1807, 1808, 1823, 1822
1380, 1583, 1584, 1599, 1598, 1808, 1809, 1824, 1823
1381, 1584, 1585, 1600, 1599, 1809, 1810, 1825, 1824
1382, 1585, 1586, 1601, 1600, 1810, 1811, 1826, 1825
1383, 1586, 1587, 1602, 1601, 1811, 1812, 1827, 1826
1384, 1587, 1588, 1603, 1602, 1812, 1813, 1828, 1827
1385, 1588, 1589, 1604, 1603, 1813, 1814, 1829, 1828
1386, 1589, 1590, 1605, 1604, 1814, 1815, 1830, 1829
1387, 1591, 1592, 1607, 1606, 1816, 1817, 1832, 1831
1388, 1592, 1593, 1608, 1607, 1817, 1818, 1833, 1832
1389, 1593, 1594, 1609, 1608, 1818, 1819, 1834, 1833
1390, 1594, 1595, 1610, 1609, 1819, 1820, 1835, 1834
1391, 1595, 1596, 1611, 1610, 1820, 1821, 1836, 1835
1392, 1596, 1597, 1612, 1611, 1821, 1822, 1837, 1836
1393, 1597, 1598, 1613, 1612, 1822, 1823, 1838, 1837
1394, 1598, 1599, 1614, 1613, 1823, 1824, 1839, 1838
1395, 1599, 1600, 1615, 1614, 1824, 1825, 1840, 1839
1396, 1600, 1601, 1616, 1615, 1825, 1826, 1841, 1840
1397, 1601, 1602, 1617, 1616, 1826, 1827, 1842, 1841
1398, 1602, 1603, 1618, 1617, 1827, 1828, 1843, 1842
1399, 1603, 1604, 1619, 1618, 1828, 1829, 1844, 1843
1400, 1604, 1605, 1620, 1619, 1829, 1830, 1845, 1844
1401, 1606, 1607, 1622, 1621, 1831, 1832, 1847, 1846
1402, 1607, 1608, 1623, 1622, 1832, 1833, 1848, 1847
1403, 1608, 1609, 1624, 1623, 1833, 1834, 1849, 1848
1404, 1609, 1610, 1625, 1624, 1834, 1835, 1850, 1849
1405, 1610, 1611, 1626, 1625, 1835, 1836, 1851, 1850
1406, 1611, 1612, 1627, 1626, 1836, 1837, 1852, 1851
1407, 1612, 1613, 1628, 1627, 1837, 1838, 1853, 1852
1408, 1613, 1614, 1629, 1628, 1838, 1839, 1854, 1853
1409, 1614, 1615, 1630, 1629, 1839, 1840, 1855, 1854
1410, 1615, 1616, 1631, 1630, 1840, 1841, 1856, 1855
1411, 1616, 1617, 1632, 1631, 1841, 1842, 1857, 1856
1412, 1617, 1618, 1633, 1632, 1842, 1843, 1858, 1857
1413, 1618, 1619, 1634, 1633, 1843, 1844, 1859, 1858
1414, 1619, 1620, 1635, 1634, 1844, 1845, 1860, 1859
1415, 1621, 1622, 1637, 1636, 1846, 1847, 1862, 1861
1416, 1622, 1623, 1638, 1637, 1847, 1848, 1863, 1862
1417, 1623, 1624, 1639, 1638, 1848, 1849, 1864, 1863
1418, 1624, 1625, 1640, 1639, 1849, 1850, 1865, 1864
1419, 1625, 1626, 1641, 1640, 1850, 1851, 1866, 1865
1420, 1626, 1627, 1642, 1641, 1851, 1852, 1867, 1866
1421, 1627, 1628, 1643, 1642, 1852, 1853, 1868, 1867
1422, 1628, 1629, 1644, 1643, 1853, 1854, 1869, 1868
1423, 1629, 1630, 1645, 1644, 1854, 1855, 1870, 1869
1424, 1630, 1631, 1646, 1645, 1855, 1856, 1871, 1870
1425, 1631, 1632, 1647, 1646, 1856, 1857, 1872, 1871
1426, 1632, 1633, 1648, 1647, 1857, 1858, 1873, 1872
1427, 1633, 1634, 1649, 1648, 1858, 1859, 1874, 1873
1428, 1634, 1635, 1650, 1649, 1859, 1860, 1875, 1874
1429, 1636, 1637, 1652, 1651, 1861, 1862, 1877, 1876
1430, 1637, 1638, 1653, 1652, 1862, 1863, 1878, 1877
1431, 1638, 1639, 1654, 1653, 1863, 1864, 1879, 1878
1432, 1639, 1640, 1655, 1654, 1864, 1865, 1880, 1879
1433, 1640, 1641, 1656, 1655, 1865, 1866, 1881, 1880
1434, 1641, 1642, 1657, 1656, 1866, 1867, 1882, 1881
1435, 1642, 1643, 1658, 1657, 1867, 1868, 1883, 1882
1436, 1643, 1644, 1659, 1658, 1868, 1869, 1884, 1883
1437, 1644, 1645, 1660, 1659, 1869, 1870, 1885, 1884
1438, 1645, 1646, 1661, 1660, 1870, 1871, 1886, 1885
1439, 1646, 1647, 1662, 1661, 1871, 1872, 1887, 1886
1440, 1647, 1648, 1663, 1662, 1872, 1873, 1888, 1887
1441, 1648, 1649, 1664, 1663, 1873, 1874, 1889, 1888
1442, 1649, 1650, 1665, 1664, 1874, 1875, 1890, 1889
1443, 1651, 1652, 1667, 1666, 1876, 1877, 1892, 1891
1444, 1652, 1653, 1668, 1667, 1877, 1878, 1893, 1892
1445, 1653, 1654, 1669, 1668, 1878, 1879, 1894, 1893
1446, 1654, 1655, 1670, 1669, 1879, 1880, 1895, 1894
1447, 1655, 1656, 1671, 1670, 1880, 1881, 1896, 1895
1448, 1656, 1657, 1672, 1671, 1881, 1882, 1897, 1896
1449, 1657, 1658, 1673, 1672, 1882, 1883, 1898, 1897
1450, 1658, 1659, 1674, 1673, 1883, 1884, 1899, 1898
1451, 1659, 1660, 1675, 1674, 1884, 1885, 1900, 1899
1452, 1660, 1661, 1676, 1675, 1885, 1886, 1901, 1900
1453, 1661, 1662, 1677, 1676, 1886, 1887, 1902, 1901
1454, 1662, 1663, 1678, 1677, 1887, 1888, 1903, 1902
1455, 1663, 1664, 1679, 1678, 1888, 1889, 1904, 1903
1456, 1664, 1665, 1680, 1679, 1889, 1890, 1905, 1904
1457, 1666, 1667, 1682, 1681, 1891, 1892, 1907, 1906
1458, 1667, 1668, 1683, 1682, 1892, 1893, 1908, 1907
1459, 1668, 1669, 1684, 1683, 1893, 1894, 1909, 1908
1460, 1669, 1670, 1685, 1684, 1894, 1895, 1910, 1909
1461, 1670, 1671, 1686, 1685, 1895, 1896, 1911, 1910
1462, 1671, 1672, 1687, 1686, 1896, 1897, 1912, 1911
1463, 1672, 1673, 1688, 1687, 1897, 1898, 1913, 1912
1464, 1673, 1674, 1689, 1688, 1898, 1899, 1914, 1913
1465, 1674, 1675, 1690, 1689, 1899, 1900, 1915, 1914
1466, 1675, 1676, 1691, 1690, 1900, 1901, 1916, 1915
1467, 1676, 1677, 1692, 1691, 1901, 1902, 1917, 1916
1468, 1677, 1678, 1693, 1692, 1902, 1903, 1918, 1917
1469, 1678, 1679, 1694, 1693, 1903, 1904, 1919, 1918
1470, 1679, 1680, 1695, 1694, 1904, 1905, 1920, 1919
1471, 1681, 1682, 1697, 1696, 1906, 1907, 1922, 1921
1472, 1682, 1683, 1698, 1697, 1907, 1908, 1923, 1922
1473, 1683, 1684, 1699, 1698, 1908, 1909, 1924, 1923
1474, 1684, 1685, 1700, 1699, 1909, 1910, 1925, 1924
1475, 1685, 1686, 1701, 1700, 1910, 1911, 1926, 1925
1476, 1686, 1687, 1702, 1701, 1911, 1912, 1927, 1926
1477, 1687, 1688, 1703, 1702, 1912, 1913, 1928, 1927
1478, 1688, 1689, 1704, 1703, 1913, 1914, 1929, 1928
1479, 1689, 1690, 1705, 1704, 1914, 1915, 1930, 1929
1480, 1690, 1691, 1706, 1705, 1915, 1916, 1931, 1930
1481, 1691, 1692, 1707, 1706, 1916, 1917, 1932, 1931
1482, 1692, 1693, 1708, 1707, 1917, 1918, 1933, 1932
1483, 1693, 1694, 1709, 1708, 1918, 1919, 1934, 1933
1484, 1694, 1695, 1710, 1709, 1919, 1920, 1935, 1934
1485, 1696, 1697, 1712, 1711, 1921, 1922, 1937, 1936
1486, 1697, 1698, 1713, 1712, 1922, 1923, 1938, 1937
1487, 1698, 1699, 1714, 1713, 1923, 1924, 1939, 1938
1488, 1699, 1700, 1715, 1714, 1924, 1925, 1940, 1939
1489, 1700, 1701, 1716, 1715, 1925, 1926, 1941, 1940
1490, 1701, 1702, 1717, 1716, 1926, 1927, 1942, 1941
1491, 1702, 1703, 1718, 1717, 1927, 1928, 1943, 1942
1492, 1703, 1704, 1719, 1718, 1928, 1929, 1944, 1943
1493, 1704, 1705, 1720, 1719, 1929, 1930, 1945, 1944
1494, 1705, 1706, 1721, 1720, 1930, 1931, 1946, 1945
1495, 1706, 1707, 1722, 1721, 1931, 1932, 1947, 1946
1496, 1707, 1708, 1723, 1722, 1932, 1933, 1948, 1947
1497, 1708, 1709, 1724, 1723, 1933, 1934, 1949, 1948
1498, 1709, 1710, 1725, 1724, 1934, 1935, 1950, 1949
1499, 1711, 1712, 1727, 1726, 1936, 1937, 1952, 1951
1500, 1712, 1713, 1728, 1727, 1937, 1938, 1953, 1952
1501, 1713, 1714, 1729, 1728, 1938, 1939, 1954, 1953
1502, 1714, 1715, 1730, 1729, 1939, 1940, 1955, 1954
1503, 1715, 1716, 1731, 1730, 1940, 1941, 1956, 1955
1504, 1716, 1717, 1732, 1731, 1941, 1942, 1957, 1956
1505, 1717, 1718, 1733, 1732, 1942, 1943, 1958, 1957
1506, 1718, 1719, 1734, 1733, 1943, 1944, 1959, 1958
1507, 1719, 1720, 1735, 1734, 1944, 1945, 1960, 1959
1508, 1720, 1721, 1736, 1735, 1945, 1946, 1961, 1960
1509, 1721, 1722, 1737, 1736, 1946, 1947, 1962, 1961
1510, 1722, 1723, 1738, 1737, 1947, 1948, 1963, 1962
1511, 1723, 1724, 1739, 1738, 1948, 1949, 1964, 1963
1512, 1724, 1725, 1740, 1739, 1949, 1950, 1965, 1964
1513, 1726, 1727, 1742, 1741, 1951, 1952, 1967, 1966
1514, 1727, 1728, 1743, 1742, 1952, 1953, 1968, 1967
1515, 1728, 1729, 1744, 1743, 1953, 1954, 1969, 1968
1516, 1729, 1730, 1745, 1744, 1954, 1955, 1970, 1969
1517, 1730, 1731, 1746, 1745, 1955, 1956, 1971, 1970
1518, 1731, 1732, 1747, 1746, 1956, 1957, 1972, 1971
1519, 1732, 1733, 1748, 1747, 1957, 1958, 1973, 1972
1520, 1733, 1734, 1749, 1748, 1958, 1959, 1974, 1973
1521, 1734, 1735, 1750, 1749, 1959, 1960, 1975, 1974
1522, 1735, 1736, 1751, 1750, 1960, 1961, 1976, 1975
1523, 1736, 1737, 1752, 1751, 1961, 1962, 1977, 1976
1524, 1737, 1738, 1753, 1752, 1962, 1963, 1978, 1977
1525, 1738, 1739, 1754, 1753, 1963, 1964, 1979, 1978
1526, 1739, 1740, 1755, 1754, 1964, 1965, 1980, 1979
1527, 1741, 1742, 1757, 1756, 1966, 1967, 1982, 1981
1528, 1742, 1743, 1758, 1757, 1967, 1968, 1983, 1982
1529, 1743, 1744, 1759, 1758, 1968, 1969, 1984, 1983
1530, 1744, 1745, 1760, 1759, 1969, 1970, 1985, 1984
1531, 1745, 1746, 1761, 1760, 1970, 1971, 1986, 1985
1532, 1746, 1747, 1762, 1761, 1971, 1972, 1987, 1986
1533, 1747, 1748, 1763, 1762, 1972, 1973, 1988, 1987
1534, 1748, 1749, 1764, 1763, 1973, 1974, 1989, 1988
1535, 1749, 1750, 1765, 1764, 1974, 1975, 1990, 1989
1536, 1750, 1751, 1766, 1765, 1975, 1976, 1991, 1990
1537, 1751, 1752, 1767, 1766, 1976, 1977, 1992, 1991
1538, 1752, 1753, 1768, 1767, 1977, 1978, 1993, 1992
1539, 1753, 1754, 1769, 1768, 1978, 1979, 1994, 1993
1540, 1754, 1755, 1770, 1769, 1979, 1980, 1995, 1994
1541, 1756, 1757, 1772, 1771, 1981, 1982, 1997, 1996
1542, 1757, 1758, 1773, 1772, 1982, 1983, 1998, 1997
1543, 1758, 1759, 1774, 1773, 1983, 1984, 1999, 1998
1544, 1759, 1760, 1775, 1774, 1984, 1985, 2000, 1999
1545, 1760, 1761, 1776, 1775, 1985, 1986, 2001, 2000
1546, 1761, 1762, 1777, 1776, 1986, 1987, 2002, 2001
1547, 1762, 1763, 1778, 1777, 1987, 1988, 2003, 2002
1548, 1763, 1764, 1779, 1778, 1988, 1989, 2004, 2003
1549, 1764, 1765, 1780, 1779, 1989, 1990, 2005, 2004
1550, 1765, 1766, 1781, 1780, 1990, 1991, 2006, 2005
1551, 1766, 1767, 1782, 1781, 1991, 1992, 2007, 2006
1552, 1767, 1768, 1783, 1782, 1992, 1993, 2008, 2007
1553, 1768, 1769, 1784, 1783, 1993, 1994, 2009, 2008
1554, 1769, 1770, 1785, 1784, 1994, 1995, 2010, 2009
1555, 1771, 1772, 1787, 1786, 1996, 1997, 2012, 2011
1556, 1772, 1773, 1788, 1787, 1997, 1998, 2013, 2012
1557, 1773, 1774, 1789, 1788, 1998, 1999, 2014, 2013
1558, 1774, 1775, 1790, 1789, 1999, 2000, 2015, 2014
1559, 1775, 1776, 1791, 1790, 2000, 2001, 2016, 2015
1560, 1776, 1777, 1792, 1791, 2001, 2002, 2017, 2016
1561, 1777, 1778, 1793, 1792, 2002, 2003, 2018, 2017
1562, 1778, 1779, 1794, 1793, 2003, 2004, 2019, 2018
1563, 1779, 1780, 1795, 1794, 2004, 2005, 2020, 2019
1564, 1780, 1781, 1796, 1795, 2005, 2006, 2021, 2020
1565, 1781, 1782, 1797, 1796, 2006, 2007, 2022, 2021
1566, 1782, 1783, 1798, 1797, 2007, 2008, 2023, 2022
1567, 1783, 1784, 1799, 1798, 2008, 2009, 2024, 2023
1568, 1784, 1785, 1800, 1799, 2009, 2010, 2025, 2024
1569, 1801, 1802, 1817, 1816, 2026, 2027, 2042, 2041
1570, 1802, 1803, 1818, 1817, 2027, 2028, 2043, 2042
1571, 1803, 1804, 1819, 1818, 2028, 2029, 2044, 2043
1572, 1804, 1805, 1820, 1819, 2029, 2030, 2045, 2044
1573, 1805, 1806, 1821, 1820, 2030, 2031, 2046, 2045
1574, 1806, 1807, 1822, 1821, 2031, 2032, 2047, 2046
1575, 1807, 1808, 1823, 1822, 2032, 2033, 2048, 2047
1576, 1808, 1809, 1824, 1823, 2033, 2034, 2049, 2048
1577, 1809, 1810, 1825, 1824, 2034, 2035, 2050, 2049
1578, 1810, 1811, 1826, 1825, 2035, 2036, 2051, 2050
1579, 1811, 1812, 1827, 1826, 2036, 2037, 2052, 2051
1580, 1812, 1813, 1828, 1827, 2037, 2038, 2053, 2052
1581, 1813, 1814, 1829, 1828, 2038, 2039, 2054, 2053
1582, 1814, 1815, 1830, 1829, 2039, 2040, 2055, 2054
1583, 1816, 1817, 1832, 1831, 2041, 2042, 2057, 2056
1584, 1817, 1818, 1833, 1832, 2042, 2043, 2058, 2057
1585, 1818, 1819, 1834, 1833, 2043, 2044, 2059, 2058
1586, 1819, 1820, 1835, 1834, 2044, 2045, 2060, 2059
1587, 1820, 1821, 1836, 1835, 2045, 2046, 2061, 2060
1588, 1821, 1822, 1837, 1836, 2046, 2047, 2062, 2061
1589, 1822, 1823, 1838, 1837, 2047, 2048, 2063, 2062
1590, 1823, 1824, 1839, 1838, 2048, 2049, 2064, 2063
1591, 1824, 1825, 1840, 1839, 2049, 2050, 2065, 2064
1592, 1825, 1826, 1841, 1840, 2050, 2051, 2066, 2065
1593, 1826, 1827, 1842, 1841, 2051, 2052, 2067, 2066
1594, 1827, 1828, 1843, 1842, 2052, 2053, 2068, 2067
1595, 1828, 1829, 1844, 1843, 2053, 2054, 2069, 2068
1596, 1829, 1830, 1845, 1844, 2054, 2055, 2070, 2069
1597, 1831, 1832, 1847, 1846, 2056, 2057, 2072, 2071
1598, 1832, 1833, 1848, 1847, 2057, 2058, 2073, 2072
1599, 1833, 1834, 1849, 1848, 2058, 2059, 2074, 2073
1600, 1834, 1835, 1850, 1849, 2059, 2060, 2075, 2074
1601, 1835, 1836, 1851, 1850, 2060, 2061, 2076, 2075
1602, 1836, 1837, 1852, 1851, 2061, 2062, 2077, 2076
1603, 1837, 1838, 1853, 1852, 2062, 2063, 2078, 2077
1604, 1838, 1839, 1854, 1853, 2063, 2064, 2079, 2078
1605, 1839, 1840, 1855, 1854, 2064, 2065, 2080, 2079
1606, 1840, 1841, 1856, 1855, 2065, 2066, 2081, 2080
1607, 1841, 1842, 1857, 1856, 2066, 2067, 2082, 2081
1608, 1842, 1843, 1858, 1857, 2067, 2068, 2083, 2082
1609, 1843, 1844, 1859, 1858, 2068, 2069, 2084, 2083
1610, 1844, 1845, 1860, 1859, 2069, 2070, 2085, 2084
1611, 1846, 1847, 1862, 1861, 2071, 2072, 2087, 2086
1612, 1847, 1848, 1863, 1862, 2072, 2073, 2088, 2087
1613, 1848, 1849, 1864, 1863, 2073, 2074, 2089, 2088
1614, 1849, 1850, 1865, 1864, 2074, 2075, 2090, 2089
1615, 1850, 1851, 1866, 1865, 2075, 2076, 2091, 2090
1616, 1851, 1852, 1867, 1866, 2076, 2077, 2092, 2091
1617, 1852, 1853, 1868, 1867, 2077, 2078, 2093, 2092
1618, 1853, 1854, 1869, 1868, 2078, 2079, 2094, 2093
1619, 1854, 1855, 1870, 1869, 2079, 2080, 2095, 2094
1620, 1855, 1856, 1871, 1870, 2080, 2081, 2096, 2095
1621, 1856, 1857, 1872, 1871, 2081, 2082, 2097, 2096
1622, 1857, 1858, 1873, 1872, 2082, 2083, 2098, 2097
1623, 1858, 1859, 1874, 1873, 2083, 2084, 2099, 2098
1624, 1859, 1860, 1875, 1874, 2084, 2085, 2100, 2099
1625, 1861, 1862, 1877, 1876, 2086, 2087, 2102, 2101
1626, 1862, 1863, 1878, 1877, 2087, 2088, 2103, 2102
1627, 1863, 1864, 1879, 1878, 2088, 2089, 2104, 2103
1628, 1864, 1865, 1880, 1879, 2089, 2090, 2105, 2104
1629, 1865, 1866, 1881, 1880, 2090, 2091, 2106, 2105
1630, 1866, 1867, 1882, 1881, 2091, 2092, 2107, 2106
1631, 1867, 1868, 1883, 1882, 2092, 2093, 2108, 2107
1632, 1868, 1869, 1884, 1883, 2093, 2094, 2109, 2108
1633, 1869, 1870, 1885, 1884, 2094, 2095, 2110, 2109
1634, 1870, 1871, 1886, 1885, 2095, 2096, 2111, 2110
1635, 1871, 1872, 1887, 1886, 2096, 2097, 2112, 2111
1636, 1872, 1873, 1888, 1887, 2097, 2098, 2113, 2112
1637, 1873, 1874, 1889, 1888, 2098, 2099, 2114, 2113
1638, 1874, 1875, 1890, 1889, 2099, 2100, 2115, 2114
1639, 1876, 1877, 1892, 1891, 2101, 2102, 2117, 2116
1640, 1877, 1878, 1893, 1892, 2102, 2103, 2118, 2117
1641, 1878, 1879, 1894, 1893, 2103, 2104, 2119, 2118
1642, 1879, 1880, 1895, 1894, 2104, 2105, 2120, 2119
1643, 1880, 1881, 1896, 1895, 2105, 2106, 2121, 2120
1644, 1881, 1882, 1897, 1896, 2106, 2107, 2122, 2121
1645, 1882, 1883, 1898, 1897, 2107, 2108, 2123, 2122
1646, 1883, 1884, 1899, 1898, 2108, 2109, 2124, 2123
1647, 1884, 1885, 1900, 1899, 2109, 2110, 2125, 2124
1648, 1885, 1886, 1901, 1900, 2110, 2111, 2126, 2125
1649, 1886, 1887, 1902, 1901, 2111, 2112, 2127, 2126
1650, 1887, 1888, 1903, 1902, 2112, 2113, 2128, 2127
1651, 1888, 1889, 1904, 1903, 2113, 2114, 2129, 2128
1652, 1889, 1890, 1905, 1904, 2114, 2115, 2130, 2129
1653, 1891, 1892, 1907, 1906, 2116, 2117, 2132, 2131
1654, 1892, 1893, 1908, 1907, 2117, 2118, 2133, 2132
1655, 1893, 1894, 1909, 1908, 2118, 2119, 2134, 2133
1656, 1894, 1895, 1910, 1909, 2119, 2120, 2135, 2134
1657, 1895, 1896, 1911, 1910, 2120, 2121, 2136, 2135
1658, 1896, 1897, 1912, 1911, 2121, 2122, 2137, 2136
1659, 1897, 1898, 1913, 1912, 2122, 2123, 2138, 2137
1660, 1898, 1899, 1914, 1913, 2123, 2124, 2139, 2138
1661, 1899, 1900, 1915, 1914, 2124, 2125, 2140, 2139
1662, 1900, 1901, 1916, 1915, 2125, 2126, 2141, 2140
1663, 1901, 1902, 1917, 1916, 2126, 2127, 2142, 2141
1664, 1902, 1903, 1918, 1917, 2127, 2128, 2143, 2142
1665, 1903, 1904, 1919, 1918, 2128, 2129, 2144, 2143
1666, 1904, 1905, 1920, 1919, 2129, 2130, 2145, 2144
1667, 1906, 1907, 1922, 1921, 2131, 2132, 2147, 2146
1668, 1907, 1908, 1923, 1922, 2132, 2133, 2148, 2147
1669, 1908, 1909, 1924, 1923, 2133, 2134, 2149, 2148
1670, 1909, 1910, 1925, 1924, 2134, 2135, 2150, 2149
1671, 1910, 1911, 1926, 1925, 2135, 2136, 2151, 2150
1672, 1911, 1912, 1927, 1926, 2136, 2137, 2152, 2151
1673, 1912, 1913, 1928, 1927, 2137, 2138, 2153, 2152
1674, 1913, 1914, 1929, 1928, 2138, 2139, 2154, 2153
1675, 1914, 1915, 1930, 1929, 2139, 2140, 2155, 2154
1676, 1915, 1916, 1931, 1930, 2140, 2141, 2156, 2155
1677, 1916, 1917, 1932, 1931, 2141, 2142, 2157, 2156
1678, 1917, 1918, 1933, 1932, 2142, 2143, 2158, 2157
1679, 1918, 1919, 1934, 1933, 2143, 2144, 2159, 2158
1680, 1919, 1920, 1935, 1934, 2144, 2145, 2160, 2159
1681, 1921, 1922, 1937, 1936, 2146, 2147, 2162, 2161
1682, 1922, 1923, 1938, 1937, 2147, 2148, 2163, 2162
1683, 1923, 1924, 1939, 1938, 2148, 2149, 2164, 2163
1684, 1924, 1925, 1940, 1939, 2149, 2150, 2165, 2164
1685, 1925, 1926, 1941, 1940, 2150, 2151, 2166, 2165
1686, 1926, 1927, 1942, 1941, 2151, 2152, 2167, 2166
1687, 1927, 1928, 1943, 1942, 2152, 2153, 2168, 2167
1688, 1928, 1929, 1944, 1943, 2153, 2154, 2169, 2168
1689, 1929, 1930, 1945, 1944, 2154, 2155, 2170, 2169
1690, 1930, 1931, 1946, 1945, 2155, 2156, 2171, 2170
1691, 1931, 1932, 1947, 1946, 2156, 2157, 2172, 2171
1692, 1932, 1933, 1948, 1947, 2157, 2158, 2173, 2172
1693, 1933, 1934, 1949, 1948, 2158, 2159, 2174, 2173
1694, 1934, 1935, 1950, 1949, 2159, 2160, 2175, 2174
1695, 1936, 1937, 1952, 1951, 2161, 2162, 2177, 2176
1696, 1937, 1938, 1953, 1952, 2162, 2163, 2178, 2177
1697, 1938, 1939, 1954, 1953, 2163, 2164, 2179, 2178
1698, 1939, 1940, 1955, 1954, 2164, 2165, 2180, 2179
1699, 1940, 1941, 1956, 1955, 2165, 2166, 2181, 2180
1700, 1941, 1942, 1957, 1956, 2166, 2167, 2182, 2181
1701, 1942, 1943, 1958, 1957, 2167, 2168, 2183, 2182
1702, 1943, 1944, 1959, 1958, 2168, 2169, 2184, 2183
1703, 1944, 1945, 1960, 1959, 2169, 2170, 2185, 2184
1704, 1945, 1946, 1961, 1960, 2170, 2171, 2186, 2185
1705, 1946, 1947, 1962, 1961, 2171, 2172, 2187, 2186
1706, 1947, 1948, 1963, 1962, 2172, 2173, 2188, 2187
1707, 1948, 1949, 1964, 1963, 2173, 2174, 2189, 2188
1708, 1949, 1950, 1965, 1964, 2174, 2175, 2190, 2189
1709, 1951, 1952, 1967, 1966, 2176, 2177, 2192, 2191
1710, 1952, 1953, 1968, 1967, 2177, 2178, 2193, 2192
1711, 1953, 1954, 1969, 1968, 2178, 2179, 2194, 2193
1712, 1954, 1955, 1970, 1969, 2179, 2180, 2195, 2194
1713, 1955, 1956, 1971, 1970, 2180, 2181, 2196, 2195
1714, 1956, 1957, 1972, 1971, 2181, 2182, 2197, 2196
1715, 1957, 1958, 1973, 1972, 2182, 2183, 2198, 2197
1716, 1958, 1959, 1974, 1973, 2183, 2184, 2199, 2198
1717, 1959, 1960, 1975, 1974, 2184, 2185, 2200, 2199
1718, 1960, 1961, 1976, 1975, 2185, 2186, 2201, 2200
1719, 1961, 1962, 1977, 1976, 2186, 2187, 2202, 2201
1720, 1962, 1963, 1978, 1977, 2187, 2188, 2203, 2202
1721, 1963, 1964, 1979, 1978, 2188, 2189, 2204, 2203
1722, 1964, 1965, 1980, 1979, 2189, 2190, 2205, 2204
1723, 1966, 1967, 1982, 1981, 2191, 2192, 2207, 2206
1724, 1967, 1968, 1983, 1982, 2192, 2193, 2208, 2207
1725, 1968, 1969, 1984, 1983, 2193, 2194, 2209, 2208
1726, 1969, 1970, 1985, 1984, 2194, 2195, 2210, 2209
1727, 1970, 1971, 1986, 1985, 2195, 2196, 2211, 2210
1728, 1971, 1972, 1987, 1986, 2196, 2197, 2212, 2211
1729, 1972, 1973, 1988, 1987, 2197, 2198, 2213, 2212
1730, 1973, 1974, 1989, 1988, 2198, 2199, 2214, 2213
1731, 1974, 1975, 1990, 1989, 2199, 2200, 2215, 2214
1732, 1975, 1976, 1991, 1990, 2200, 2201, 2216, 2215
1733, 1976, 1977, 1992, 1991, 2201, 2202, 2217, 2216
1734, 1977, 1978, 1993, 1992, 2202, 2203, 2218, 2217
1735, 1978, 1979, 1994, 1993, 2203, 2204, 2219, 2218
1736, 1979, 1980, 1995, 1994, 2204, 2205, 2220, 2219
1737, 1981, 1982, 1997, 1996, 2206, 2207, 2222, 2221
1738, 1982, 1983, 1998, 1997, 2207, 2208, 2223, 2222
1739, 1983, 1984, 1999, 1998, 2208, 2209, 2224, 2223
1740, 1984, 1985, 2000, 1999, 2209, 2210, 2225, 2224
1741, 1985, 1986, 2001, 2000, 2210, 2211, 2226, 2225
1742, 1986, 1987, 2002, 2001, 2211, 2212, 2227, 2226
1743, 1987, 1988, 2003, 2002, 2212, 2213, 2228, 2227
1744, 1988, 1989, 2004, 2003, 2213, 2214, 2229, 2228
1745, 1989, 1990, 2005, 2004, 2214, 2215, 2230, 2229
1746, 1990, 1991, 2006, 2005, 2215, 2216, 2231, 2230
1747, 1991, 1992, 2007, 2006, 2216, 2217, 2232, 2231
1748, 1992, 1993, 2008, 2007, 2217, 2218, 2233, 2232
1749, 1993, 1994, 2009, 2008, 2218, 2219, 2234, 2233
1750, 1994, 1995, 2010, 2009, 2219, 2220, 2235, 2234
1751, 1996, 1997, 2012, 2011, 2221, 2222, 2237, 2236
1752, 1997, 1998, 2013, 2012, 2222, 2223, 2238, 2237
1753, 1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238
1754, 1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239
1755, 2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240
1756, 2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241
1757, 2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242
1758, 2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243
1759, 2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244
1760, 2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245
1761, 2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246
1762, 2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247
1763, 2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248
1764, 2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249
1765, 2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266
1766, 2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267
1767, 2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268
1768, 2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269
1769, 2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270
1770, 2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271
1771, 2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272
1772, 2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273
1773, 2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274
1774, 2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275
1775, 2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276
1776, 2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277
1777, 2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278
1778, 2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279
1779, 2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281
1780, 2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282
1781, 2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283
1782, 2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284
1783, 2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285
1784, 2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286
1785, 2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287
1786, 2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288
1787, 2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289
1788, 2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290
1789, 2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291
1790, 2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292
1791, 2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293
1792, 2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294
1793, 2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296
1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297
1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298
1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299
1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300
1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301
1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302
1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303
1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304
1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305
1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306
1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307
1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308
1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309
1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311
1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312
1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313
1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314
1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315
1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316
1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317
1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318
1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319
1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320
1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321
1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322
1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323
1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324
1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326
1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327
1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328
1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329
1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330
1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331
1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332
1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333
1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334
1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335
1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336
1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337
1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338
1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339
1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341
1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342
1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343
1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344
1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345
1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346
1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347
1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348
1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349
1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350
1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351
1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352
1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353
1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354
1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356
1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357
1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358
1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359
1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360
1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361
1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362
1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363
1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364
1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365
1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366
1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367
1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368
1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369
1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371
1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372
1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373
1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374
1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375
1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376
1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377
1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378
1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379
1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380
1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381
1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382
1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383
1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384
1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386
1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387
1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388
1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389
1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390
1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391
1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392
1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393
1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394
1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395
1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396
1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397
1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398
1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399
1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401
1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402
1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403
1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404
1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405
1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406
1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407
1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408
1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409
1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410
1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411
1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412
1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413
1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414
1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416
1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417
1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418
1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419
1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420
1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421
1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422
1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423
1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424
1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425
1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426
1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427
1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428
1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429
1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431
1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432
1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433
1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434
1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435
1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436
1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437
1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438
1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439
1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440
1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441
1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442
1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443
1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444
1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446
1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447
1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448
1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449
1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450
1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451
1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452
1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453
1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454
1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455
1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456
1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457
1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458
1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459
1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461
1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462
1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463
1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464
1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465
1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466
1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467
1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468
1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469
1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470
1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471
1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472
1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473
1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474
1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491
1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492
1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493
1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494
1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495
1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496
1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497
1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498
1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499
1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500
1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501
1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502
1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503
1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504
1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506
1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507
1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508
1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509
1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510
1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511
1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512
1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513
1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514
1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515
1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516
1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517
1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518
1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519
1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521
1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522
1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523
1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524
1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525
1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526
1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527
1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528
1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529
1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530
1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531
2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532
2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533
2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534
2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536
2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537
2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538
2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539
2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540
2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541
2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542
2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543
2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544
2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545
2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546
2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547
2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548
2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549
2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551
2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552
2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553
2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554
2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555
2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556
2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557
2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558
2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559
2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560
2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561
2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562
2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563
2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564
2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566
2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567
2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568
2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569
2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570
2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571
2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572
2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573
2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574
2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575
2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576
2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577
2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578
2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579
2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581
2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582
2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583
2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584
2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585
2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586
2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587
2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588
2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589
2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590
2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591
2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592
2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593
2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594
2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596
2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597
2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598
2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599
2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600
2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601
2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602
2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603
2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604
2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605
2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606
2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607
2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608
2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609
2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611
2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612
2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613
2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614
2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615
2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616
2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617
2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618
2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619
2082, 2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620
2083, 2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621
2084, 2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622
2085, 2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623
2086, 2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624
2087, 2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626
2088, 2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627
2089, 2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628
2090, 2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629
2091, 2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630
2092, 2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631
2093, 2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632
2094, 2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633
2095, 2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634
2096, 2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635
2097, 2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636
2098, 2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637
2099, 2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638
2100, 2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639
2101, 2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641
2102, 2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642
2103, 2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643
2104, 2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644
2105, 2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645
2106, 2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646
2107, 2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647
2108, 2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648
2109, 2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649
2110, 2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650
2111, 2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651
2112, 2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652
2113, 2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653
2114, 2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654
2115, 2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656
2116, 2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657
2117, 2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658
2118, 2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659
2119, 2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660
2120, 2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661
2121, 2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662
2122, 2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663
2123, 2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664
2124, 2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665
2125, 2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666
2126, 2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667
2127, 2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668
2128, 2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669
2129, 2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671
2130, 2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672
2131, 2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673
2132, 2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674
2133, 2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675
2134, 2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676
2135, 2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677
2136, 2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678
2137, 2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679
2138, 2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680
2139, 2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681
2140, 2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682
2141, 2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683
2142, 2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684
2143, 2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686
2144, 2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687
2145, 2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688
2146, 2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689
2147, 2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690
2148, 2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691
2149, 2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692
2150, 2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693
2151, 2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694
2152, 2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695
2153, 2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696
2154, 2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697
2155, 2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698
2156, 2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699
2157, 2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716
2158, 2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717
2159, 2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718
2160, 2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719
2161, 2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720
2162, 2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721
2163, 2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722
2164, 2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723
2165, 2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724
2166, 2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725
2167, 2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726
2168, 2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727
2169, 2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728
2170, 2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729
2171, 2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731
2172, 2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732
2173, 2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733
2174, 2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734
2175, 2495, 2496, 2511, 2510, 2720, 2721, 2736, 2735
2176, 2496, 2497, 2512, 2511, 2721, 2722, 2737, 2736
2177, 2497, 2498, 2513, 2512, 2722, 2723, 2738, 2737
2178, 2498, 2499, 2514, 2513, 2723, 2724, 2739, 2738
2179, 2499, 2500, 2515, 2514, 2724, 2725, 2740, 2739
2180, 2500, 2501, 2516, 2515, 2725, 2726, 2741, 2740
2181, 2501, 2502, 2517, 2516, 2726, 2727, 2742, 2741
2182, 2502, 2503, 2518, 2517, 2727, 2728, 2743, 2742
2183, 2503, 2504, 2519, 2518, 2728, 2729, 2744, 2743
2184, 2504, 2505, 2520, 2519, 2729, 2730, 2745, 2744
2185, 2506, 2507, 2522, 2521, 2731, 2732, 2747, 2746
2186, 2507, 2508, 2523, 2522, 2732, 2733, 2748, 2747
2187, 2508, 2509, 2524, 2523, 2733, 2734, 2749, 2748
2188, 2509, 2510, 2525, 2524, 2734, 2735, 2750, 2749
2189, 2510, 2511, 2526, 2525, 2735, 2736, 2751, 2750
2190, 2511, 2512, 2527, 2526, 2736, 2737, 2752, 2751
2191, 2512, 2513, 2528, 2527, 2737, 2738, 2753, 2752
2192, 2513, 2514, 2529, 2528, 2738, 2739, 2754, 2753
2193, 2514, 2515, 2530, 2529, 2739, 2740, 2755, 2754
2194, 2515, 2516, 2531, 2530, 2740, 2741, 2756, 2755
2195, 2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756
2196, 2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757
2197, 2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758
2198, 2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759
2199, 2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761
2200, 2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762
2201, 2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763
2202, 2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764
2203, 2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765
2204, 2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766
2205, 2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767
2206, 2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768
2207, 2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769
2208, 2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770
2209, 2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771
2210, 2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772
2211, 2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773
2212, 2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774
2213, 2536, 2537, 2552, 2551, 2761, 2762, 2777, 2776
2214, 2537, 2538, 2553, 2552, 2762, 2763, 2778, 2777
2215, 2538, 2539, 2554, 2553, 2763, 2764, 2779, 2778
2216, 2539, 2540, 2555, 2554, 2764, 2765, 2780, 2779
2217, 2540, 2541, 2556, 2555, 2765, 2766, 2781, 2780
2218, 2541, 2542, 2557, 2556, 2766, 2767, 2782, 2781
2219, 2542, 2543, 2558, 2557, 2767, 2768, 2783, 2782
2220, 2543, 2544, 2559, 2558, 2768, 2769, 2784, 2783
2221, 2544, 2545, 2560, 2559, 2769, 2770, 2785, 2784
2222, 2545, 2546, 2561, 2560, 2770, 2771, 2786, 2785
2223, 2546, 2547, 2562, 2561, 2771, 2772, 2787, 2786
2224, 2547, 2548, 2563, 2562, 2772, 2773, 2788, 2787
2225, 2548, 2549, 2564, 2563, 2773, 2774, 2789, 2788
2226, 2549, 2550, 2565, 2564, 2774, 2775, 2790, 2789
2227, 2551, 2552, 2567, 2566, 2776, 2777, 2792, 2791
2228, 2552, 2553, 2568, 2567, 2777, 2778, 2793, 2792
2229, 2553, 2554, 2569, 2568, 2778, 2779, 2794, 2793
2230, 2554, 2555, 2570, 2569, 2779, 2780, 2795, 2794
2231, 2555, 2556, 2571, 2570, 2780, 2781, 2796, 2795
2232, 2556, 2557, 2572, 2571, 2781, 2782, 2797, 2796
2233, 2557, 2558, 2573, 2572, 2782, 2783, 2798, 2797
2234, 2558, 2559, 2574, 2573, 2783, 2784, 2799, 2798
2235, 2559, 2560, 2575, 2574, 2784, 2785, 2800, 2799
2236, 2560, 2561, 2576, 2575, 2785, 2786, 2801, 2800
2237, 2561, 2562, 2577, 2576, 2786, 2787, 2802, 2801
2238, 2562, 2563, 2578, 2577, 2787, 2788, 2803, 2802
2239, 2563, 2564, 2579, 2578, 2788, 2789, 2804, 2803
2240, 2564, 2565, 2580, 2579, 2789, 2790, 2805, 2804
2241, 2566, 2567, 2582, 2581, 2791, 2792, 2807, 2806
2242, 2567, 2568, 2583, 2582, 2792, 2793, 2808, 2807
2243, 2568, 2569, 2584, 2583, 2793, 2794, 2809, 2808
2244, 2569, 2570, 2585, 2584, 2794, 2795, 2810, 2809
2245, 2570, 2571, 2586, 2585, 2795, 2796, 2811, 2810
2246, 2571, 2572, 2587, 2586, 2796, 2797, 2812, 2811
2247, 2572, 2573, 2588, 2587, 2797, 2798, 2813, 2812
2248, 2573, 2574, 2589, 2588, 2798, 2799, 2814, 2813
2249, 2574, 2575, 2590, 2589, 2799, 2800, 2815, 2814
2250, 2575, 2576, 2591, 2590, 2800, 2801, 2816, 2815
2251, 2576, 2577, 2592, 2591, 2801, 2802, 2817, 2816
2252, 2577, 2578, 2593, 2592, 2802, 2803, 2818, 2817
2253, 2578, 2579, 2594, 2593, 2803, 2804, 2819, 2818
2254, 2579, 2580, 2595, 2594, 2804, 2805, 2820, 2819
2255, 2581, 2582, 2597, 2596, 2806, 2807, 2822, 2821
2256, 2582, 2583, 2598, 2597, 2807, 2808, 2823, 2822
2257, 2583, 2584, 2599, 2598, 2808, 2809, 2824, 2823
2258, 2584, 2585, 2600, 2599, 2809, 2810, 2825, 2824
2259, 2585, 2586, 2601, 2600, 2810, 2811, 2826, 2825
2260, 2586, 2587, 2602, 2601, 2811, 2812, 2827, 2826
2261, 2587, 2588, 2603, 2602, 2812, 2813, 2828, 2827
2262, 2588, 2589, 2604, 2603, 2813, 2814, 2829, 2828
2263, 2589, 2590, 2605, 2604, 2814, 2815, 2830, 2829
2264, 2590, 2591, 2606, 2605, 2815, 2816, 2831, 2830
2265, 2591, 2592, 2607, 2606, 2816, 2817, 2832, 2831
2266, 2592, 2593, 2608, 2607, 2817, 2818, 2833, 2832
2267, 2593, 2594, 2609, 2608, 2818, 2819, 2834, 2833
2268, 2594, 2595, 2610, 2609, 2819, 2820, 2835, 2834
2269, 2596, 2597, 2612, 2611, 2821, 2822, 2837, 2836
2270, 2597, 2598, 2613, 2612, 2822, 2823, 2838, 2837
2271, 2598, 2599, 2614, 2613, 2823, 2824, 2839, 2838
2272, 2599, 2600, 2615, 2614, 2824, 2825, 2840, 2839
2273, 2600, 2601, 2616, 2615, 2825, 2826, 2841, 2840
2274, 2601, 2602, 2617, 2616, 2826, 2827, 2842, 2841
2275, 2602, 2603, 2618, 2617, 2827, 2828, 2843, 2842
2276, 2603, 2604, 2619, 2618, 2828, 2829, 2844, 2843
2277, 2604, 2605, 2620, 2619, 2829, 2830, 2845, 2844
2278, 2605, 2606, 2621, 2620, 2830, 2831, 2846, 2845
2279, 2606, 2607, 2622, 2621, 2831, 2832, 2847, 2846
2280, 2607, 2608, 2623, 2622, 2832, 2833, 2848, 2847
2281, 2608, 2609, 2624, 2623, 2833, 2834, 2849, 2848
2282, 2609, 2610, 2625, 2624, 2834, 2835, 2850, 2849
2283, 2611, 2612, 2627, 2626, 2836, 2837, 2852, 2851
2284, 2612, 2613, 2628, 2627, 2837, 2838, 2853, 2852
2285, 2613, 2614, 2629, 2628, 2838, 2839, 2854, 2853
2286, 2614, 2615, 2630, 2629, 2839, 2840, 2855, 2854
2287, 2615, 2616, 2631, 2630, 2840, 2841, 2856, 2855
2288, 2616, 2617, 2632, 2631, 2841, 2842, 2857, 2856
2289, 2617, 2618, 2633, 2632, 2842, 2843, 2858, 2857
2290, 2618, 2619, 2634, 2633, 2843, 2844, 2859, 2858
2291, 2619, 2620, 2635, 2634, 2844, 2845, 2860, 2859
2292, 2620, 2621, 2636, 2635, 2845, 2846, 2861, 2860
2293, 2621, 2622, 2637, 2636, 2846, 2847, 2862, 2861
2294, 2622, 2623, 2638, 2637, 2847, 2848, 2863, 2862
2295, 2623, 2624, 2639, 2638, 2848, 2849, 2864, 2863
2296, 2624, 2625, 2640, 2639, 2849, 2850, 2865, 2864
2297, 2626, 2627, 2642, 2641, 2851, 2852, 2867, 2866
2298, 2627, 2628, 2643, 2642, 2852, 2853, 2868, 2867
2299, 2628, 2629, 2644, 2643, 2853, 2854, 2869, 2868
2300, 2629, 2630, 2645, 2644, 2854, 2855, 2870, 2869
2301, 2630, 2631, 2646, 2645, 2855, 2856, 2871, 2870
2302, 2631, 2632, 2647, 2646, 2856, 2857, 2872, 2871
2303, 2632, 2633, 2648, 2647, 2857, 2858, 2873, 2872
2304, 2633, 2634, 2649, 2648, 2858, 2859, 2874, 2873
2305, 2634, 2635, 2650, 2649, 2859, 2860, 2875, 2874
2306, 2635, 2636, 2651, 2650, 2860, 2861, 2876, 2875
2307, 2636, 2637, 2652, 2651, 2861, 2862, 2877, 2876
2308, 2637, 2638, 2653, 2652, 2862, 2863, 2878, 2877
2309, 2638, 2639, 2654, 2653, 2863, 2864, 2879, 2878
2310, 2639, 2640, 2655, 2654, 2864, 2865, 2880, 2879
2311, 2641, 2642, 2657, 2656, 2866, 2867, 2882, 2881
2312, 2642, 2643, 2658, 2657, 2867, 2868, 2883, 2882
2313, 2643, 2644, 2659, 2658, 2868, 2869, 2884, 2883
2314, 2644, 2645, 2660, 2659, 2869, 2870, 2885, 2884
2315, 2645, 2646, 2661, 2660, 2870, 2871, 2886, 2885
2316, 2646, 2647, 2662, 2661, 2871, 2872, 2887, 2886
2317, 2647, 2648, 2663, 2662, 2872, 2873, 2888, 2887
2318, 2648, 2649, 2664, 2663, 2873, 2874, 2889, 2888
2319, 2649, 2650, 2665, 2664, 2874, 2875, 2890, 2889
2320, 2650, 2651, 2666, 2665, 2875, 2876, 2891, 2890
2321, 2651, 2652, 2667, 2666, 2876, 2877, 2892, 2891
2322, 2652, 2653, 2668, 2667, 2877, 2878, 2893, 2892
2323, 2653, 2654, 2669, 2668, 2878, 2879, 2894, 2893
2324, 2654, 2655, 2670, 2669, 2879, 2880, 2895, 2894
2325, 2656, 2657, 2672, 2671, 2881, 2882, 2897, 2896
2326, 2657, 2658, 2673, 2672, 2882, 2883, 2898, 2897
2327, 2658, 2659, 2674, 2673, 2883, 2884, 2899, 2898
2328, 2659, 2660, 2675, 2674, 2884, 2885, 2900, 2899
2329, 2660, 2661, 2676, 2675, 2885, 2886, 2901, 2900
2330, 2661, 2662, 2677, 2676, 2886, 2887, 2902, 2901
2331, 2662, 2663, 2678, 2677, 2887, 2888, 2903, 2902
2332, 2663, 2664, 2679, 2678, 2888, 2889, 2904, 2903
2333, 2664, 2665, 2680, 2679, 2889, 2890, 2905, 2904
2334, 2665, 2666, 2681, 2680, 2890, 2891, 2906, 2905
2335, 2666, 2667, 2682, 2681, 2891, 2892, 2907, 2906
2336, 2667, 2668, 2683, 2682, 2892, 2893, 2908, 2907
2337, 2668, 2669, 2684, 2683, 2893, 2894, 2909, 2908
2338, 2669, 2670, 2685, 2684, 2894, 2895, 2910, 2909
2339, 2671, 2672, 2687, 2686, 2896, 2897, 2912, 2911
2340, 2672, 2673, 2688, 2687, 2897, 2898, 2913, 2912
2341, 2673, 2674, 2689, 2688, 2898, 2899, 2914, 2913
2342, 2674, 2675, 2690, 2689, 2899, 2900, 2915, 2914
2343, 2675, 2676, 2691, 2690, 2900, 2901, 2916, 2915
2344, 2676, 2677, 2692, 2691, 2901, 2902, 2917, 2916
2345, 2677, 2678, 2693, 2692, 2902, 2903, 2918, 2917
2346, 2678, 2679, 2694, 2693, 2903, 2904, 2919, 2918
2347, 2679, 2680, 2695, 2694, 2904, 2905, 2920, 2919
2348, 2680, 2681, 2696, 2695, 2905, 2906, 2921, 2920
2349, 2681, 2682, 2697, 2696, 2906, 2907, 2922, 2921
2350, 2682, 2683, 2698, 2697, 2907, 2908, 2923, 2922
2351, 2683, 2684, 2699, 2698, 2908, 2909, 2924, 2923
2352, 2684, 2685, 2700, 2699, 2909, 2910, 2925, 2924
2353, 2701, 2702, 2717, 2716, 2926, 2927, 2942, 2941
2354, 2702, 2703, 2718, 2717, 2927, 2928, 2943, 2942
2355, 2703, 2704, 2719, 2718, 2928, 2929, 2944, 2943
2356, 2704, 2705, 2720, 2719, 2929, 2930, 2945, 2944
2357, 2705, 2706, 2721, 2720, 2930, 2931, 2946, 2945
2358, 2706, 2707, 2722, 2721, 2931, 2932, 2947, 2946
2359, 2707, 2708, 2723, 2722, 2932, 2933, 2948, 2947
2360, 2708, 2709, 2724, 2723, 2933, 2934, 2949, 2948
2361, 2709, 2710, 2725, 2724, 2934, 2935, 2950, 2949
2362, 2710, 2711, 2726, 2725, 2935, 2936, 2951, 2950
2363, 2711, 2712, 2727, 2726, 2936, 2937, 2952, 2951
2364, 2712, 2713, 2728, 2727, 2937, 2938, 2953, 2952
2365, 2713, 2714, 2729, 2728, 2938, 2939, 2954, 2953
2366, 2714, 2715, 2730, 2729, 2939, 2940, 2955, 2954
2367, 2716, 2717, 2732, 2731, 2941, 2942, 2957, 2956
2368, 2717, 2718, 2733, 2732, 2942, 2943, 2958, 2957
2369, 2718, 2719, 2734, 2733, 2943, 2944, 2959, 2958
2370, 2719, 2720, 2735, 2734, 2944, 2945, 2960, 2959
2371, 2720, 2721, 2736, 2735, 2945, 2946, 2961, 2960
2372, 2721, 2722, 2737, 2736, 2946, 2947, 2962, 2961
2373, 2722, 2723, 2738, 2737, 2947, 2948, 2963, 2962
2374, 2723, 2724, 2739, 2738, 2948, 2949, 2964, 2963
2375, 2724, 2725, 2740, 2739, 2949, 2950, 2965, 2964
2376, 2725, 2726, 2741, 2740, 2950, 2951, 2966, 2965
2377, 2726, 2727, 2742, 2741, 2951, 2952, 2967, 2966
2378, 2727, 2728, 2743, 2742, 2952, 2953, 2968, 2967
2379, 2728, 2729, 2744, 2743, 2953, 2954, 2969, 2968
2380, 2729, 2730, 2745, 2744, 2954, 2955, 2970, 2969
2381, 2731, 2732, 2747, 2746, 2956, 2957, 2972, 2971
2382, 2732, 2733, 2748, 2747, 2957, 2958, 2973, 2972
2383, 2733, 2734, 2749, 2748, 2958, 2959, 2974, 2973
2384, 2734, 2735, 2750, 2749, 2959, 2960, 2975, 2974
2385, 2735, 2736, 2751, 2750, 2960, 2961, 2976, 2975
2386, 2736, 2737, 2752, 2751, 2961, 2962, 2977, 2976
2387, 2737, 2738, 2753, 2752, 2962, 2963, 2978, 2977
2388, 2738, 2739, 2754, 2753, 2963, 2964, 2979, 2978
2389, 2739, 2740, 2755, 2754, 2964, 2965, 2980, 2979
2390, 2740, 2741, 2756, 2755, 2965, 2966, 2981, 2980
2391, 2741, 2742, 2757, 2756, 2966, 2967, 2982, 2981
2392, 2742, 2743, 2758, 2757, 2967, 2968, 2983, 2982
2393, 2743, 2744, 2759, 2758, 2968, 2969, 2984, 2983
2394, 2744, 2745, 2760, 2759, 2969, 2970, 2985, 2984
2395, 2746, 2747, 2762, 2761, 2971, 2972, 2987, 2986
2396, 2747, 2748, 2763, 2762, 2972, 2973, 2988, 2987
2397, 2748, 2749, 2764, 2763, 2973, 2974, 2989, 2988
2398, 2749, 2750, 2765, 2764, 2974, 2975, 2990, 2989
2399, 2750, 2751, 2766, 2765, 2975, 2976, 2991, 2990
2400, 2751, 2752, 2767, 2766, 2976, 2977, 2992, 2991
2401, 2752, 2753, 2768, 2767, 2977, 2978, 2993, 2992
2402, 2753, 2754, 2769, 2768, 2978, 2979, 2994, 2993
2403, 2754, 2755, 2770, 2769, 2979, 2980, 2995, 2994
2404, 2755, 2756, 2771, 2770, 2980, 2981, 2996, 2995
2405, 2756, 2757, 2772, 2771, 2981, 2982, 2997, 2996
2406, 2757, 2758, 2773, 2772, 2982, 2983, 2998, 2997
2407, 2758, 2759, 2774, 2773, 2983, 2984, 2999, 2998
2408, 2759, 2760, 2775, 2774, 2984, 2985, 3000, 2999
2409, 2761, 2762, 2777, 2776, 2986, 2987, 3002, 3001
2410, 2762, 2763, 2778, 2777, 2987, 2988, 3003, 3002
2411, 2763, 2764, 2779, 2778, 2988, 2989, 3004, 3003
2412, 2764, 2765, 2780, 2779, 2989, 2990, 3005, 3004
2413, 2765, 2766, 2781, 2780, 2990, 2991, 3006, 3005
2414, 2766, 2767, 2782, 2781, 2991, 2992, 3007, 3006
2415, 2767, 2768, 2783, 2782, 2992, 2993, 3008, 3007
2416, 2768, 2769, 2784, 2783, 2993, 2994, 3009, 3008
2417, 2769, 2770, 2785, 2784, 2994, 2995, 3010, 3009
2418, 2770, 2771, 2786, 2785, 2995, 2996, 3011, 3010
2419, 2771, 2772, 2787, 2786, 2996, 2997, 3012, 3011
2420, 2772, 2773, 2788, 2787, 2997, 2998, 3013, 3012
2421, 2773, 2774, 2789, 2788, 2998, 2999, 3014, 3013
2422, 2774, 2775, 2790, 2789, 2999, 3000, 3015, 3014
2423, 2776, 2777, 2792, 2791, 3001, 3002, 3017, 3016
2424, 2777, 2778, 2793, 2792, 3002, 3003, 3018, 3017
2425, 2778, 2779, 2794, 2793, 3003, 3004, 3019, 3018
2426, 2779, 2780, 2795, 2794, 3004, 3005, 3020, 3019
2427, 2780, 2781, 2796, 2795, 3005, 3006, 3021, 3020
2428, 2781, 2782, 2797, 2796, 3006, 3007, 3022, 3021
2429, 2782, 2783, 2798, 2797, 3007, 3008, 3023, 3022
2430, 2783, 2784, 2799, 2798, 3008, 3009, 3024, 3023
2431, 2784, 2785, 2800, 2799, 3009, 3010, 3025, 3024
2432, 2785, 2786, 2801, 2800, 3010, 3011, 3026, 3025
2433, 2786, 2787, 2802, 2801, 3011, 3012, 3027, 3026
2434, 2787, 2788, 2803, 2802, 3012, 3013, 3028, 3027
2435, 2788, 2789, 2804, 2803, 3013, 3014, 3029, 3028
2436, 2789, 2790, 2805, 2804, 3014, 3015, 3030, 3029
2437, 2791, 2792, 2807, 2806, 3016, 3017, 3032, 3031
2438, 2792, 2793, 2808, 2807, 3017, 3018, 3033, 3032
2439, 2793, 2794, 2809, 2808, 3018, 3019, 3034, 3033
2440, 2794, 2795, 2810, 2809, 3019, 3020, 3035, 3034
2441, 2795, 2796, 2811, 2810, 3020, 3021, 3036, 3035
2442, 2796, 2797, 2812, 2811, 3021, 3022, 3037, 3036
2443, 2797, 2798, 2813, 2812, 3022, 3023, 3038, 3037
2444, 2798, 2799, 2814, 2813, 3023, 3024, 3039, 3038
2445, 2799, 2800, 2815, 2814, 3024, 3025, 3040, 3039
2446, 2800, 2801, 2816, 2815, 3025, 3026, 3041, 3040
2447, 2801, 2802, 2817, 2816, 3026, 3027, 3042, 3041
2448, 2802, 2803, 2818, 2817, 3027, 3028, 3043, 3042
2449, 2803, 2804, 2819, 2818, 3028, 3029, 3044, 3043
2450, 2804, 2805, 2820, 2819, 3029, 3030, 3045, 3044
2451, 2806, 2807, 2822, 2821, 3031, 3032, 3047, 3046
2452, 2807, 2808, 2823, 2822, 3032, 3033, 3048, 3047
2453, 2808, 2809, 2824, 2823, 3033, 3034, 3049, 3048
2454, 2809, 2810, 2825, 2824, 3034, 3035, 3050, 3049
2455, 2810, 2811, 2826, 2825, 3035, 3036, 3051, 3050
2456, 2811, 2812, 2827, 2826, 3036, 3037, 3052, 3051
2457, 2812, 2813, 2828, 2827, 3037, 3038, 3053, 3052
2458, 2813, 2814, 2829, 2828, 3038, 3039, 3054, 3053
2459, 2814, 2815, 2830, 2829, 3039, 3040, 3055, 3054
2460, 2815, 2816, 2831, 2830, 3040, 3041, 3056, 3055
2461, 2816, 2817, 2832, 2831, 3041, 3042, 3057, 3056
2462, 2817, 2818, 2833, 2832, 3042, 3043, 3058, 3057
2463, 2818, 2819, 2834, 2833, 3043, 3044, 3059, 3058
2464, 2819, 2820, 2835, 2834, 3044, 3045, 3060, 3059
2465, 2821, 2822, 2837, 2836, 3046, 3047, 3062, 3061
2466, 2822, 2823, 2838, 2837, 3047, 3048, 3063, 3062
2467, 2823, 2824, 2839, 2838, 3048, 3049, 3064, 3063
2468, 2824, 2825, 2840, 2839, 3049, 3050, 3065, 3064
2469, 2825, 2826, 2841, 2840, 3050, 3051, 3066, 3065
2470, 2826, 2827, 2842, 2841, 3051, 3052, 3067, 3066
2471, 2827, 2828, 2843, 2842, 3052, 3053, 3068, 3067
2472, 2828, 2829, 2844, 2843, 3053, 3054, 3069, 3068
2473, 2829, 2830, 2845, 2844, 3054, 3055, 3070, 3069
2474, 2830, 2831, 2846, 2845, 3055, 3056, 3071, 3070
2475, 2831, 2832, 2847, 2846, 3056, 3057, 3072, 3071
2476, 2832, 2833, 2848, 2847, 3057, 3058, 3073, 3072
2477, 2833, 2834, 2849, 2848, 3058, 3059, 3074, 3073
2478, 2834, 2835, 2850, 2849, 3059, 3060, 3075, 3074
2479, 2836, 2837, 2852, 2851, 3061, 3062, 3077, 3076
2480, 2837, 2838, 2853, 2852, 3062, 3063, 3078, 3077
2481, 2838, 2839, 2854, 2853, 3063, 3064, 3079, 3078
2482, 2839, 2840, 2855, 2854, 3064, 3065, 3080, 3079
2483, 2840, 2841, 2856, 2855, 3065, 3066, 3081, 3080
2484, 2841, 2842, 2857, 2856, 3066, 3067, 3082, 3081
2485, 2842, 2843, 2858, 2857, 3067, 3068, 3083, 3082
2486, 2843, 2844, 2859, 2858, 3068, 3069, 3084, 3083
2487, 2844, 2845, 2860, 2859, 3069, 3070, 3085, 3084
2488, 2845, 2846, 2861, 2860, 3070, 3071, 3086, 3085
2489, 2846, 2847, 2862, 2861, 3071, 3072, 3087, 3086
2490, 2847, 2848, 2863, 2862, 3072, 3073, 3088, 3087
2491, 2848, 2849, 2864, 2863, 3073, 3074, 3089, 3088
2492, 2849, 2850, 2865, 2864, 3074, 3075, 3090, 3089
2493, 2851, 2852, 2867, 2866, 3076, 3077, 3092, 3091
2494, 2852, 2853, 2868, 2867, 3077, 3078, 3093, 3092
2495, 2853, 2854, 2869, 2868, 3078, 3079, 3094, 3093
2496, 2854, 2855, 2870, 2869, 3079, 3080, 3095, 3094
2497, 2855, 2856, 2871, 2870, 3080, 3081, 3096, 3095
2498, 2856, 2857, 2872, 2871, 3081, 3082, 3097, 3096
2499, 2857, 2858, 2873, 2872, 3082, 3083, 3098, 3097
2500, 2858, 2859, 2874, 2873, 3083, 3084, 3099, 3098
2501, 2859, 2860, 2875, 2874, 3084, 3085, 3100, 3099
2502, 2860, 2861, 2876, 2875, 3085, 3086, 3101, 3100
2503, 2861, 2862, 2877, 2876, 3086, 3087, 3102, 3101
2504, 2862, 2863, 2878, 2877, 3087, 3088, 3103, 3102
2505, 2863, 2864, 2879, 2878, 3088, 3089, 3104, 3103
2506, 2864, 2865, 2880, 2879, 3089, 3090, 3105, 3104
2507, 2866, 2867, 2882, 2881, 3091, 3092, 3107, 3106
2508, 2867, 2868, 2883, 2882, 3092, 3093, 3108, 3107
2509, 2868, 2869, 2884, 2883, 3093, 3094, 3109, 3108
2510, 2869, 2870, 2885, 2884, 3094, 3095, 3110, 3109
2511, 2870, 2871, 2886, 2885, 3095, 3096, 3111, 3110
2512, 2871, 2872, 2887, 2886, 3096, 3097, 3112, 3111
2513, 2872, 2873, 2888, 2887, 3097, 3098, 3113, 3112
2514, 2873, 2874, 2889, 2888, 3098, 3099, 3114, 3113
2515, 2874, 2875, 2890, 2889, 3099, 3100, 3115, 3114
2516, 2875, 2876, 2891, 2890, 3100, 3101, 3116, 3115
2517, 2876, 2877, 2892, 2891, 3101, 3102, 3117, 3116
2518, 2877, 2878, 2893, 2892, 3102, 3103, 3118, 3117
2519, 2878, 2879, 2894, 2893, 3103, 3104, 3119, 3118
2520, 2879, 2880, 2895, 2894, 3104, 3105, 3120, 3119
2521, 2881, 2882, 2897, 2896, 3106, 3107, 3122, 3121
2522, 2882, 2883, 2898, 2897, 3107, 3108, 3123, 3122
2523, 2883, 2884, 2899, 2898, 3108, 3109, 3124, 3123
2524, 2884, 2885, 2900, 2899, 3109, 3110, 3125, 3124
2525, 2885, 2886, 2901, 2900, 3110, 3111, 3126, 3125
2526, 2886, 2887, 2902, 2901, 3111, 3112, 3127, 3126
2527, 2887, 2888, 2903, 2902, 3112, 3113, 3128, 3127
2528, 2888, 2889, 2904, 2903, 3113, 3114, 3129, 3128
2529, 2889, 2890, 2905, 2904, 3114, 3115, 3130, 3129
2530, 2890, 2891, 2906, 2905, 3115, 3116, 3131, 3130
2531, 2891, 2892, 2907, 2906, 3116, 3117, 3132, 3131
2532, 2892, 2893, 2908, 2907, 3117, 3118, 3133, 3132
2533, 2893, 2894, 2909, 2908, 3118, 3119, 3134, 3133
2534, 2894, 2895, 2910, 2909, 3119, 3120, 3135, 3134
2535, 2896, 2897, 2912, 2911, 3121, 3122, 3137, 3136
2536, 2897, 2898, 2913, 2912, 3122, 3123, 3138, 3137
2537, 2898, 2899, 2914, 2913, 3123, 3124, 3139, 3138
2538, 2899, 2900, 2915, 2914, 3124, 3125, 3140, 3139
2539, 2900, 2901, 2916, 2915, 3125, 3126, 3141, 3140
2540, 2901, 2902, 2917, 2916, 3126, 3127, 3142, 3141
2541, 2902, 2903, 2918, 2917, 3127, 3128, 3143, 3142
2542, 2903, 2904, 2919, 2918, 3128, 3129, 3144, 3143
2543, 2904, 2905, 2920, 2919, 3129, 3130, 3145, 3144
2544, 2905, 2906, 2921, 2920, 3130, 3131, 3146, 3145
2545, 2906, 2907, 2922, 2921, 3131, 3132, 3147, 3146
2546, 2907, 2908, 2923, 2922, 3132, 3133, 3148, 3147
2547, 2908, 2909, 2924, 2923, 3133, 3134, 3149, 3148
2548, 2909, 2910, 2925, 2924, 3134, 3135, 3150, 3149
2549, 2926, 2927, 2942, 2941, 3151, 3152, 3167, 3166
2550, 2927, 2928, 2943, 2942, 3152, 3153, 3168, 3167
2551, 2928, 2929, 2944, 2943, 3153, 3154, 3169, 3168
2552, 2929, 2930, 2945, 2944, 3154, 3155, 3170, 3169
2553, 2930, 2931, 2946, 2945, 3155, 3156, 3171, 3170
2554, 2931, 2932, 2947, 2946, 3156, 3157, 3172, 3171
2555, 2932, 2933, 2948, 2947, 3157, 3158, 3173, 3172
2556, 2933, 2934, 2949, 2948, 3158, 3159, 3174, 3173
2557, 2934, 2935, 2950, 2949, 3159, 3160, 3175, 3174
2558, 2935, 2936, 2951, 2950, 3160, 3161, 3176, 3175
2559, 2936, 2937, 2952, 2951, 3161, 3162, 3177, 3176
2560, 2937, 2938, 2953, 2952, 3162, 3163, 3178, 3177
2561, 2938, 2939, 2954, 2953, 3163, 3164, 3179, 3178
2562, 2939, 2940, 2955, 2954, 3164, 3165, 3180, 3179
2563, 2941, 2942, 2957, 2956, 3166, 3167, 3182, 3181
2564, 2942, 2943, 2958, 2957, 3167, 3168, 3183, 3182
2565, 2943, 2944, 2959, 2958, 3168, 3169, 3184, 3183
2566, 2944, 2945, 2960, 2959, 3169, 3170, 3185, 3184
2567, 2945, 2946, 2961, 2960, 3170, 3171, 3186, 3185
2568, 2946, 2947, 2962, 2961, 3171, 3172, 3187, 3186
2569, 2947, 2948, 2963, 2962, 3172, 3173, 3188, 3187
2570, 2948, 2949, 2964, 2963, 3173, 3174, 3189, 3188
2571, 2949, 2950, 2965, 2964, 3174, 3175, 3190, 3189
2572, 2950, 2951, 2966, 2965, 3175, 3176, 3191, 3190
2573, 2951, 2952, 2967, 2966, 3176, 3177, 3192, 3191
2574, 2952, 2953, 2968, 2967, 3177, 3178, 3193, 3192
2575, 2953, 2954, 2969, 2968, 3178, 3179, 3194, 3193
2576, 2954, 2955, 2970, 2969, 3179, 3180, 3195, 3194
2577, 2956, 2957, 2972, 2971, 3181, 3182, 3197, 3196
2578, 2957, 2958, 2973, 2972, 3182, 3183, 3198, 3197
2579, 2958, 2959, 2974, 2973, 3183, 3184, 3199, 3198
2580, 2959, 2960, 2975, 2974, 3184, 3185, 3200, 3199
2581, 2960, 2961, 2976, 2975, 3185, 3186, 3201, 3200
2582, 2961, 2962, 2977, 2976, 3186, 3187, 3202, 3201
2583, 2962, 2963, 2978, 2977, 3187, 3188, 3203, 3202
2584, 2963, 2964, 2979, 2978, 3188, 3189, 3204, 3203
2585, 2964, 2965, 2980, 2979, 3189, 3190, 3205, 3204
2586, 2965, 2966, 2981, 2980, 3190, 3191, 3206, 3205
2587, 2966, 2967, 2982, 2981, 3191, 3192, 3207, 3206
2588, 2967, 2968, 2983, 2982, 3192, 3193, 3208, 3207
2589, 2968, 2969, 2984, 2983, 3193, 3194, 3209, 3208
2590, 2969, 2970, 2985, 2984, 3194, 3195, 3210, 3209
2591, 2971, 2972, 2987, 2986, 3196, 3197, 3212, 3211
2592, 2972, 2973, 2988, 2987, 3197, 3198, 3213, 3212
2593, 2973, 2974, 2989, 2988, 3198, 3199, 3214, 3213
2594, 2974, 2975, 2990, 2989, 3199, 3200, 3215, 3214
2595, 2975, 2976, 2991, 2990, 3200, 3201, 3216, 3215
2596, 2976, 2977, 2992, 2991, 3201, 3202, 3217, 3216
2597, 2977, 2978, 2993, 2992, 3202, 3203, 3218, 3217
2598, 2978, 2979, 2994, 2993, 3203, 3204, 3219, 3218
2599, 2979, 2980, 2995, 2994, 3204, 3205, 3220, 3219
2600, 2980, 2981, 2996, 2995, 3205, 3206, 3221, 3220
2601, 2981, 2982, 2997, 2996, 3206, 3207, 3222, 3221
2602, 2982, 2983, 2998, 2997, 3207, 3208, 3223, 3222
2603, 2983, 2984, 2999, 2998, 3208, 3209, 3224, 3223
2604, 2984, 2985, 3000, 2999, 3209, 3210, 3225, 3224
2605, 2986, 2987, 3002, 3001, 3211, 3212, 3227, 3226
2606, 2987, 2988, 3003, 3002, 3212, 3213, 3228, 3227
2607, 2988, 2989, 3004, 3003, 3213, 3214, 3229, 3228
2608, 2989, 2990, 3005, 3004, 3214, 3215, 3230, 3229
2609, 2990, 2991, 3006, 3005, 3215, 3216, 3231, 3230
2610, 2991, 2992, 3007, 3006, 3216, 3217, 3232, 3231
2611, 2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232
2612, 2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233
2613, 2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234
2614, 2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235
2615, 2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236
2616, 2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237
2617, 2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238
2618, 2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239
2619, 3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241
2620, 3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242
2621, 3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243
2622, 3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244
2623, 3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245
2624, 3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246
2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247
2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248
2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249
2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250
2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251
2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252
2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253
2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254
2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256
2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257
2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258
2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259
2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260
2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261
2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262
2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263
2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264
2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265
2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266
2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267
2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268
2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269
2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271
2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272
2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273
2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274
2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275
2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276
2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277
2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278
2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279
2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280
2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281
2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282
2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283
2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284
2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286
2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287
2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288
2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289
2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290
2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291
2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292
2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293
2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294
2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295
2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296
2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297
2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298
2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299
2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301
2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302
2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303
2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304
2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305
2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306
2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307
2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308
2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309
2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310
2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311
2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312
2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313
2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314
2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316
2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317
2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318
2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319
2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320
2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321
2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322
2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323
2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324
2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325
2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326
2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327
2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328
2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329
2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331
2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332
2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333
2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334
2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335
2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336
2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337
2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338
2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339
2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340
2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341
2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342
2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343
2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344
2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346
2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347
2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348
2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349
2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350
2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351
2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352
2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353
2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354
2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355
2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356
2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357
2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358
2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359
2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361
2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362
2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363
2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364
2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365
2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366
2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367
2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368
2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369
2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370
2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371
2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372
2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373
2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374
*Elset, elset=GRAIN-1
85, 86, 87, 88, 89, 99, 100, 101, 102
103, 104, 105, 106, 113, 114, 115, 116, 117
118, 119, 120, 127, 128, 129, 130, 131, 132
133, 134, 135, 141, 142, 143, 144, 145, 146
147, 148, 149, 155, 156, 157, 158, 159, 160
161, 162, 163, 169, 170, 171, 172, 173, 174
175, 176, 177, 183, 184, 185, 186, 187, 188
189, 190, 281, 282, 283, 284, 285, 286, 295
296, 297, 298, 299, 300, 301, 302, 309, 310
311, 312, 313, 314, 315, 316, 323, 324, 325
326, 327, 328, 329, 330, 331, 337, 338, 339
340, 341, 342, 343, 344, 345, 351, 352, 353
354, 355, 356, 357, 358, 359, 365, 366, 367
368, 369, 370, 371, 372, 373, 379, 380, 381
382, 383, 384, 385, 386, 387, 477, 478, 479
480, 481, 482, 483, 491, 492, 493, 494, 495
496, 497, 498, 505, 506, 507, 508, 509, 510
511, 512, 519, 520, 521, 522, 523, 524, 525
526, 527, 533, 534, 535, 536, 537, 538, 539
540, 541, 547, 548, 549, 550, 551, 552, 553
554, 555, 561, 562, 563, 564, 565, 566, 567
568, 569, 575, 576, 577, 578, 579, 580, 581
582, 583, 673, 674, 675, 676, 677, 678, 679
687, 688, 689, 690, 691, 692, 693, 701, 702
703, 704, 705, 706, 707, 708, 715, 716, 717
718, 719, 720, 721, 722, 723, 729, 730, 731
732, 733, 734, 735, 736, 737, 743, 744, 745
746, 747, 748, 749, 750, 751, 757, 758, 759
760, 761, 762, 763, 764, 765, 771, 772, 773
774, 775, 776, 777, 778, 779, 869, 870, 871
872, 873, 874, 883, 884, 885, 886, 887, 888
889, 897, 898, 899, 900, 901, 902, 903, 904
911, 912, 913, 914, 915, 916, 917, 918, 925
926, 927, 928, 929, 930, 931, 932, 939, 940
941, 942, 943, 944, 945, 946, 953, 954, 955
956, 957, 958, 959, 960, 967, 968, 969, 970
971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079
1080, 1081, 1082, 1083, 1084, 1085, 1093, 1094, 1095
1096, 1097, 1098, 1099, 1107, 1108, 1109, 1110, 1111
1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126
1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141
1142, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156
1163, 1164, 1165, 1166, 1167, 1168, 1169, 1275, 1276
1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293
1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318
1319, 1320, 1321, 1322, 1323, 1333, 1334, 1335, 1336
1337, 1348, 1349, 1350, 1362, 1363, 1364,
*Elset, elset=GRAIN-2
827, 841, 842, 855, 856, 981, 982, 995, 996
997, 1009, 1010, 1011, 1012, 1023, 1024, 1025, 1026
1037, 1038, 1039, 1040, 1041, 1051, 1052, 1053, 1054
1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192
1193, 1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209
1210, 1219, 1220, 1221, 1222, 1223, 1224, 1233, 1234
1235, 1236, 1237, 1238, 1247, 1248, 1249, 1250, 1251
1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376
1377, 1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403
1404, 1405, 1406, 1415, 1416, 1417, 1418, 1419, 1420
1429, 1430, 1431, 1432, 1433, 1434, 1443, 1444, 1445
1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571
1572, 1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600
1601, 1611, 1612, 1613, 1614, 1615, 1625, 1626, 1627
1628, 1629, 1639, 1640, 1641, 1642, 1653, 1765, 1766
1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808
1809, 1810, 1821, 1822, 1823, 1824,
*Elset, elset=GRAIN-3
2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071
2083, 2236, 2237, 2238, 2239, 2240, 2250, 2251, 2252
2253, 2254, 2264, 2265, 2266, 2267, 2268, 2279, 2280
2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449
2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477
2628, 2629, 2630, 2631, 2632, 2642, 2643, 2644, 2645
2646, 2656, 2657, 2658, 2659, 2660, 2671, 2672, 2673
*Elset, elset=GRAIN-4
1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367
1533, 1534, 1535, 1547, 1548, 1549, 1561, 1562, 1563
1729, 1730, 1731, 1743, 1744, 1745, 1757, 1758, 1759
*Elset, elset=GRAIN-5
907, 919, 920, 921, 933, 934, 1100, 1101, 1102
1103, 1115, 1116, 1117, 1129, 1130, 1131, 1144, 1298
1311, 1312, 1325, 1326,
*Elset, elset=GRAIN-6
1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493
1505, 1506, 1507, 1508, 1519, 1520, 1521, 1674, 1687
1688, 1689, 1701, 1702, 1703, 1704, 1716, 1717,
*Elset, elset=GRAIN-7
1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989
1990, 1991, 1992, 2003, 2004, 2005, 2006, 2017, 2018
2019, 2157, 2158, 2159, 2160, 2161, 2171, 2172, 2173
2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200
2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227
2228, 2229, 2353, 2354, 2355, 2356, 2357, 2367, 2368
2369, 2370, 2371, 2381, 2382, 2383, 2384, 2385, 2395
2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413
2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550
2551, 2552, 2553, 2563, 2564, 2565, 2566, 2567, 2577
2578, 2579, 2580, 2581, 2591, 2592, 2593, 2594, 2595
2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622
2623, 2633, 2634, 2635, 2636,
*Elset, elset=GRAIN-8
848, 849, 862, 863, 875, 876, 1030, 1031, 1043
1044, 1045, 1046, 1056, 1057, 1058, 1059, 1060, 1070
1071, 1072, 1073, 1074, 1086, 1087, 1225, 1239, 1240
1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267
1268, 1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450
1451, 1463, 1464, 1465,
*Elset, elset=GRAIN-9
988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183
1184, 1185, 1186, 1197, 1198, 1199, 1200, 1211, 1212
1213, 1214, 1226, 1227, 1228, 1378, 1379, 1380, 1381
1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410
1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578
1579, 1589, 1590, 1591, 1592, 1604, 1605, 1606, 1618
1619, 1620, 1772, 1773, 1774, 1786, 1787, 1788, 1800
1801,
*Elset, elset=GRAIN-10
1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160
1161, 1162, 1173, 1174, 1175, 1176, 1313, 1314, 1315
1316, 1327, 1328, 1329, 1330, 1340, 1341, 1342, 1343
1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370
1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523
1524, 1525, 1526, 1536, 1537, 1538, 1539, 1540, 1550
1551, 1552, 1553, 1554, 1564, 1565, 1566, 1567, 1568
1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722
1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749
1750, 1760, 1761, 1762, 1763, 1764, 1915, 1916, 1929
1930, 1931, 1942, 1943, 1944, 1945, 1946, 1956, 1957
1958, 1959, 1960,
*Elset, elset=GRAIN-11
110, 111, 112, 123, 124, 125, 126, 136, 137
138, 139, 140, 150, 151, 152, 153, 154, 164
165, 166, 167, 168, 178, 179, 180, 181, 182
191, 192, 193, 194, 195, 196, 306, 307, 308
319, 320, 321, 322, 332, 333, 334, 335, 336
346, 347, 348, 349, 350, 360, 361, 362, 363
364, 374, 375, 376, 377, 378, 388, 389, 390
391, 392, 503, 504, 515, 516, 517, 518, 528
529, 530, 531, 532, 542, 543, 544, 545, 546
556, 557, 558, 559, 560, 570, 571, 572, 573
574, 584, 585, 586, 587, 588, 712, 713, 714
724, 725, 726, 727, 728, 738, 739, 740, 741
742, 752, 753, 754, 755, 756, 766, 767, 768
769, 770, 780, 781, 782, 783, 784, 922, 923
924, 935, 936, 937, 938, 949, 950, 951, 952
963, 964, 965, 966, 977, 978, 979, 980,
*Elset, elset=GRAIN-12
1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617
1630, 1631, 1768, 1769, 1770, 1771, 1782, 1783, 1784
1785, 1796, 1797, 1798, 1799, 1811, 1812, 1813, 1825
1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007
2008, 2021, 2022,
*Elset, elset=GRAIN-13
699, 700, 881, 882, 894, 895, 896, 908, 909
910, 1076, 1077, 1078, 1090, 1091, 1092, 1104, 1105
1106, 1118, 1119, 1120, 1272, 1273, 1274, 1286, 1287
1288, 1300, 1301, 1302,
*Elset, elset=GRAIN-14
79, 92, 93, 94, 95, 107, 108, 109, 121
122, 275, 288, 289, 290, 291, 303, 304, 305
317, 318, 471, 484, 485, 486, 487, 499, 500
501, 502, 513, 514, 667, 680, 681, 682, 683
694, 695, 696, 697, 698, 709, 710, 711, 864
877, 878, 879, 890, 891, 892, 893, 905, 906
*Elset, elset=GRAIN-15
1677, 1690, 1691, 1873, 1886, 1887, 1901,
*Elset, elset=GRAIN-16
1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466
1467, 1480, 1481, 1494, 1495,
*Elset, elset=GRAIN-17
1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899
1900, 1910, 1911, 1912, 1913, 1914, 1924, 1925, 1926
1927, 1928, 1938, 1939, 1940, 1941, 1953, 1954, 1955
2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080
2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105
2106, 2107, 2108, 2109, 2110, 2119, 2120, 2121, 2122
2123, 2124, 2133, 2134, 2135, 2136, 2137, 2138, 2147
2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259
2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276
2277, 2278, 2287, 2288, 2289, 2290, 2291, 2292, 2301
2302, 2303, 2304, 2305, 2306, 2315, 2316, 2317, 2318
2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343
2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444
2455, 2456, 2457, 2458, 2459, 2469, 2470, 2471, 2472
2473, 2474, 2483, 2484, 2485, 2486, 2487, 2488, 2497
2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514
2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539
2540, 2541, 2542, 2543, 2544, 2637, 2638, 2639, 2640
2641, 2651, 2652, 2653, 2654, 2655, 2665, 2666, 2667
2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684
2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708
2709, 2710, 2711, 2712, 2721, 2722, 2723, 2724, 2725
2726, 2735, 2736, 2737, 2738, 2739, 2740,
*Elset, elset=GRAIN-18
1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189
1190, 1201, 1202, 1203, 1204, 1215, 1216, 1217, 1218
1229, 1230, 1231, 1232, 1243, 1244, 1245, 1246, 1257
1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398
1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427
1428, 1439, 1440, 1441, 1442, 1453, 1454, 1455, 1456
1580, 1581, 1582, 1593, 1594, 1595, 1596, 1607, 1608
1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637
1638,
*Elset, elset=GRAIN-19
1, 2, 3, 4, 5, 6, 7, 8, 9
15, 16, 17, 18, 19, 20, 21, 22, 23
29, 30, 31, 32, 33, 34, 35, 36, 37
43, 44, 45, 46, 47, 48, 49, 50, 51
57, 58, 59, 60, 61, 62, 63, 64, 65
71, 72, 73, 74, 75, 76, 77, 78, 90
91, 197, 198, 199, 200, 201, 202, 203, 204
205, 211, 212, 213, 214, 215, 216, 217, 218
219, 225, 226, 227, 228, 229, 230, 231, 232
233, 239, 240, 241, 242, 243, 244, 245, 246
247, 253, 254, 255, 256, 257, 258, 259, 260
261, 267, 268, 269, 270, 271, 272, 273, 274
287, 393, 394, 395, 396, 397, 398, 399, 400
401, 407, 408, 409, 410, 411, 412, 413, 414
415, 421, 422, 423, 424, 425, 426, 427, 428
429, 435, 436, 437, 438, 439, 440, 441, 442
449, 450, 451, 452, 453, 454, 455, 456, 463
464, 465, 466, 467, 468, 469, 470, 589, 590
591, 592, 593, 594, 595, 596, 603, 604, 605
606, 607, 608, 609, 610, 617, 618, 619, 620
621, 622, 623, 624, 631, 632, 633, 634, 635
636, 637, 638, 645, 646, 647, 648, 649, 650
651, 652, 659, 660, 661, 662, 663, 664, 665
666, 785, 786, 787, 788, 789, 790, 791, 792
799, 800, 801, 802, 803, 804, 805, 806, 813
814, 815, 816, 817, 818, 819, 820, 828, 829
830, 831, 832, 833, 834, 843, 844, 845, 846
847, 857, 858, 859, 860, 861, 983, 984, 985
986, 987, 998, 999, 1000, 1001, 1013, 1014, 1015
1027, 1028, 1029, 1042,
*Elset, elset=GRAIN-20
10, 11, 12, 13, 14, 24, 25, 26, 27
28, 38, 39, 40, 41, 42, 52, 53, 54
55, 56, 66, 67, 68, 69, 70, 80, 81
82, 83, 84, 96, 97, 98, 206, 207, 208
209, 210, 220, 221, 222, 223, 224, 234, 235
236, 237, 238, 248, 249, 250, 251, 252, 262
263, 264, 265, 266, 276, 277, 278, 279, 280
292, 293, 294, 402, 403, 404, 405, 406, 416
417, 418, 419, 420, 430, 431, 432, 433, 434
443, 444, 445, 446, 447, 448, 457, 458, 459
460, 461, 462, 472, 473, 474, 475, 476, 488
489, 490, 597, 598, 599, 600, 601, 602, 611
612, 613, 614, 615, 616, 625, 626, 627, 628
629, 630, 639, 640, 641, 642, 643, 644, 653
654, 655, 656, 657, 658, 668, 669, 670, 671
672, 684, 685, 686, 793, 794, 795, 796, 797
798, 807, 808, 809, 810, 811, 812, 821, 822
823, 824, 825, 826, 835, 836, 837, 838, 839
840, 850, 851, 852, 853, 854, 865, 866, 867
868, 880, 991, 992, 993, 994, 1004, 1005, 1006
1007, 1008, 1018, 1019, 1020, 1021, 1022, 1032, 1033
1034, 1035, 1047, 1048, 1061,
*Elset, elset=GRAIN-21
1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802
1803, 1804, 1805, 1806, 1817, 1818, 1819, 1820, 1832
1833, 1834, 1970, 1971, 1972, 1973, 1974, 1984, 1985
1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012
2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043
2044, 2166, 2167, 2168, 2169, 2170, 2180, 2181, 2182
2183, 2184, 2194, 2195, 2196, 2197, 2198, 2209, 2210
2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364
2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392
2393, 2394, 2405, 2406, 2407, 2408, 2419, 2420, 2421
2422, 2558, 2559, 2560, 2561, 2562, 2572, 2573, 2574
2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603
2604, 2615, 2616, 2617, 2618,
*Elset, elset=GRAIN-22
1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650
1651, 1652, 1664, 1665, 1666, 1678, 1679, 1680, 1692
1693, 1694, 1846, 1847, 1848, 1860, 1861, 1862, 1874
1875, 1876, 1888, 1889, 1890, 2058, 2072,
*Elset, elset=GRAIN-23
1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649
1660, 1661, 1662, 1663, 1675, 1676, 1815, 1816, 1828
1829, 1830, 1831, 1842, 1843, 1844, 1845, 1856, 1857
1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052
2053, 2054,
*Elset, elset=GRAIN-24
947, 948, 961, 962, 975, 976, 1143, 1157, 1158
1170, 1171, 1172,
*Elset, elset=GRAIN-25
1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996
1997, 2009, 2010, 2011, 2023, 2024, 2025, 2036, 2037
2038, 2162, 2163, 2164, 2165, 2176, 2177, 2178, 2179
2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208
2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235
2249, 2358, 2359, 2360, 2361, 2372, 2373, 2374, 2375
2386, 2387, 2388, 2389, 2390, 2400, 2401, 2402, 2403
2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430
2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570
2571, 2582, 2583, 2584, 2585, 2586, 2596, 2597, 2598
2599, 2600, 2610, 2611, 2612, 2613, 2614, 2624, 2625
2626, 2627,
*Elset, elset=GRAIN-26
1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086
2097, 2098, 2099, 2100, 2111, 2112, 2113, 2114, 2125
2126, 2127, 2128, 2139, 2140, 2141, 2142, 2153, 2154
2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307
2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336
2337, 2338, 2349, 2350, 2351, 2352, 2478, 2489, 2490
2491, 2492, 2503, 2504, 2505, 2506, 2517, 2518, 2519
2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548
2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713
2714, 2715, 2716, 2727, 2728, 2729, 2730, 2741, 2742
2743, 2744,
*Elset, elset=GRAIN-27
1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361
1471, 1472, 1473, 1474, 1485, 1486, 1487, 1488, 1489
1499, 1500, 1501, 1502, 1503, 1504, 1513, 1514, 1515
1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532
1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557
1558, 1559, 1560, 1667, 1668, 1669, 1670, 1681, 1682
1683, 1684, 1685, 1695, 1696, 1697, 1698, 1699, 1700
1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725
1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742
1751, 1752, 1753, 1754, 1755, 1756, 1877, 1878, 1879
1880, 1881, 1891, 1892, 1893, 1894, 1895, 1905, 1906
1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933
1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951
1952, 2088, 2089, 2090, 2102, 2103, 2104, 2115, 2116
2117, 2118, 2129, 2130, 2131, 2132, 2143, 2144, 2145
2146,
*Elset, elset=GRAIN-28
1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849
1850, 1851, 1852, 1853, 1863, 1864, 1865, 1866, 1867
2020, 2031, 2032, 2033, 2034, 2035, 2045, 2046, 2047
2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076
2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258
2439, 2440,
*Elset, elset=GRAIN-29
2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271
2283, 2284, 2285, 2286, 2297, 2298, 2299, 2300, 2311
2312, 2313, 2314, 2325, 2326, 2327, 2328, 2339, 2340
2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467
2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496
2507, 2508, 2509, 2510, 2521, 2522, 2523, 2524, 2535
2536, 2537, 2538, 2647, 2648, 2649, 2650, 2661, 2662
2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691
2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720
2731, 2732, 2733, 2734,
*Elset, elset=GRAIN-30
1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644
1645, 1657, 1658, 1659, 1671, 1672, 1673, 1686, 1840
1841, 1854, 1855, 1868, 1869, 2050,
*Elset, elset=Phase-1
1, 2, 3, 4, 5, 6, 7, 8, 9
10, 11, 12, 13, 14, 15, 16, 17, 18
19, 20, 21, 22, 23, 24, 25, 26, 27
28, 29, 30, 31, 32, 33, 34, 35, 36
37, 38, 39, 40, 41, 42, 43, 44, 45
46, 47, 48, 49, 50, 51, 52, 53, 54
55, 56, 57, 58, 59, 60, 61, 62, 63
64, 65, 66, 67, 68, 69, 70, 71, 72
73, 74, 75, 76, 77, 78, 79, 80, 81
82, 83, 84, 85, 86, 87, 88, 89, 90
91, 92, 93, 94, 95, 96, 97, 98, 99
100, 101, 102, 103, 104, 105, 106, 107, 108
109, 110, 111, 112, 113, 114, 115, 116, 117
118, 119, 120, 121, 122, 123, 124, 125, 126
127, 128, 129, 130, 131, 132, 133, 134, 135
136, 137, 138, 139, 140, 141, 142, 143, 144
145, 146, 147, 148, 149, 150, 151, 152, 153
154, 155, 156, 157, 158, 159, 160, 161, 162
163, 164, 165, 166, 167, 168, 169, 170, 171
172, 173, 174, 175, 176, 177, 178, 179, 180
181, 182, 183, 184, 185, 186, 187, 188, 189
190, 191, 192, 193, 194, 195, 196, 197, 198
199, 200, 201, 202, 203, 204, 205, 206, 207
208, 209, 210, 211, 212, 213, 214, 215, 216
217, 218, 219, 220, 221, 222, 223, 224, 225
226, 227, 228, 229, 230, 231, 232, 233, 234
235, 236, 237, 238, 239, 240, 241, 242, 243
244, 245, 246, 247, 248, 249, 250, 251, 252
253, 254, 255, 256, 257, 258, 259, 260, 261
262, 263, 264, 265, 266, 267, 268, 269, 270
271, 272, 273, 274, 275, 276, 277, 278, 279
280, 281, 282, 283, 284, 285, 286, 287, 288
289, 290, 291, 292, 293, 294, 295, 296, 297
298, 299, 300, 301, 302, 303, 304, 305, 306
307, 308, 309, 310, 311, 312, 313, 314, 315
316, 317, 318, 319, 320, 321, 322, 323, 324
325, 326, 327, 328, 329, 330, 331, 332, 333
334, 335, 336, 337, 338, 339, 340, 341, 342
343, 344, 345, 346, 347, 348, 349, 350, 351
352, 353, 354, 355, 356, 357, 358, 359, 360
361, 362, 363, 364, 365, 366, 367, 368, 369
370, 371, 372, 373, 374, 375, 376, 377, 378
379, 380, 381, 382, 383, 384, 385, 386, 387
388, 389, 390, 391, 392, 393, 394, 395, 396
397, 398, 399, 400, 401, 402, 403, 404, 405
406, 407, 408, 409, 410, 411, 412, 413, 414
415, 416, 417, 418, 419, 420, 421, 422, 423
424, 425, 426, 427, 428, 429, 430, 431, 432
433, 434, 435, 436, 437, 438, 439, 440, 441
442, 443, 444, 445, 446, 447, 448, 449, 450
451, 452, 453, 454, 455, 456, 457, 458, 459
460, 461, 462, 463, 464, 465, 466, 467, 468
469, 470, 471, 472, 473, 474, 475, 476, 477
478, 479, 480, 481, 482, 483, 484, 485, 486
487, 488, 489, 490, 491, 492, 493, 494, 495
496, 497, 498, 499, 500, 501, 502, 503, 504
505, 506, 507, 508, 509, 510, 511, 512, 513
514, 515, 516, 517, 518, 519, 520, 521, 522
523, 524, 525, 526, 527, 528, 529, 530, 531
532, 533, 534, 535, 536, 537, 538, 539, 540
541, 542, 543, 544, 545, 546, 547, 548, 549
550, 551, 552, 553, 554, 555, 556, 557, 558
559, 560, 561, 562, 563, 564, 565, 566, 567
568, 569, 570, 571, 572, 573, 574, 575, 576
577, 578, 579, 580, 581, 582, 583, 584, 585
586, 587, 588, 589, 590, 591, 592, 593, 594
595, 596, 597, 598, 599, 600, 601, 602, 603
604, 605, 606, 607, 608, 609, 610, 611, 612
613, 614, 615, 616, 617, 618, 619, 620, 621
622, 623, 624, 625, 626, 627, 628, 629, 630
631, 632, 633, 634, 635, 636, 637, 638, 639
640, 641, 642, 643, 644, 645, 646, 647, 648
649, 650, 651, 652, 653, 654, 655, 656, 657
658, 659, 660, 661, 662, 663, 664, 665, 666
667, 668, 669, 670, 671, 672, 673, 674, 675
676, 677, 678, 679, 680, 681, 682, 683, 684
685, 686, 687, 688, 689, 690, 691, 692, 693
694, 695, 696, 697, 698, 699, 700, 701, 702
703, 704, 705, 706, 707, 708, 709, 710, 711
712, 713, 714, 715, 716, 717, 718, 719, 720
721, 722, 723, 724, 725, 726, 727, 728, 729
730, 731, 732, 733, 734, 735, 736, 737, 738
739, 740, 741, 742, 743, 744, 745, 746, 747
748, 749, 750, 751, 752, 753, 754, 755, 756
757, 758, 759, 760, 761, 762, 763, 764, 765
766, 767, 768, 769, 770, 771, 772, 773, 774
775, 776, 777, 778, 779, 780, 781, 782, 783
784, 785, 786, 787, 788, 789, 790, 791, 792
793, 794, 795, 796, 797, 798, 799, 800, 801
802, 803, 804, 805, 806, 807, 808, 809, 810
811, 812, 813, 814, 815, 816, 817, 818, 819
820, 821, 822, 823, 824, 825, 826, 827, 828
829, 830, 831, 832, 833, 834, 835, 836, 837
838, 839, 840, 841, 842, 843, 844, 845, 846
847, 848, 849, 850, 851, 852, 853, 854, 855
856, 857, 858, 859, 860, 861, 862, 863, 864
865, 866, 867, 868, 869, 870, 871, 872, 873
874, 875, 876, 877, 878, 879, 880, 881, 882
883, 884, 885, 886, 887, 888, 889, 890, 891
892, 893, 894, 895, 896, 897, 898, 899, 900
901, 902, 903, 904, 905, 906, 907, 908, 909
910, 911, 912, 913, 914, 915, 916, 917, 918
919, 920, 921, 922, 923, 924, 925, 926, 927
928, 929, 930, 931, 932, 933, 934, 935, 936
937, 938, 939, 940, 941, 942, 943, 944, 945
946, 947, 948, 949, 950, 951, 952, 953, 954
955, 956, 957, 958, 959, 960, 961, 962, 963
964, 965, 966, 967, 968, 969, 970, 971, 972
973, 974, 975, 976, 977, 978, 979, 980, 981
982, 983, 984, 985, 986, 987, 988, 989, 990
991, 992, 993, 994, 995, 996, 997, 998, 999
1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008
1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017
1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026
1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035
1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044
1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053
1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062
1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071
1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080
1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089
1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098
1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107
1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116
1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125
1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134
1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143
1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152
1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161
1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170
1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179
1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188
1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197
1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206
1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215
1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224
1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233
1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242
1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251
1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260
1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269
1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278
1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287
1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296
1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305
1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314
1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323
1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332
1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341
1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350
1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359
1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368
1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377
1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386
1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395
1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404
1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413
1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422
1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431
1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440
1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449
1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458
1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467
1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476
1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485
1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494
1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503
1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512
1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521
1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530
1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539
1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548
1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557
1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566
1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575
1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584
1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593
1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602
1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611
1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620
1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629
1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638
1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647
1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656
1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665
1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674
1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683
1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692
1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701
1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710
1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719
1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728
1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737
1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746
1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755
1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764
1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773
1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782
1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791
1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800
1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809
1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818
1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827
1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836
1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845
1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854
1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863
1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872
1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881
1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890
1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899
1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908
1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917
1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926
1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935
1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944
1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953
1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962
1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971
1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980
1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989
1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998
1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007
2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016
2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034
2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043
2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052
2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061
2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070
2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079
2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088
2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097
2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106
2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115
2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124
2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133
2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142
2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151
2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160
2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169
2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178
2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187
2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196
2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205
2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214
2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223
2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232
2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241
2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250
2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259
2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268
2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277
2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286
2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295
2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304
2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313
2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322
2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331
2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340
2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349
2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358
2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367
2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376
2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385
2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394
2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403
2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412
2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421
2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430
2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439
2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448
2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457
2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466
2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475
2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484
2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493
2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502
2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511
2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520
2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529
2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538
2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547
2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556
2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565
2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574
2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583
2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592
2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601
2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610
2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619
2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628
2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637
2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646
2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655
2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664
2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673
2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682
2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691
2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700
2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709
2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718
2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727
2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736
2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744,
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
**Section: Section_Grain-8
*Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8
,
**Section: Section_Grain-9
*Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9
,
**Section: Section_Grain-10
*Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10
,
**Section: Section_Grain-11
*Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11
,
**Section: Section_Grain-12
*Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12
,
**Section: Section_Grain-13
*Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13
,
**Section: Section_Grain-14
*Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14
,
**Section: Section_Grain-15
*Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15
,
**Section: Section_Grain-16
*Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16
,
**Section: Section_Grain-17
*Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17
,
**Section: Section_Grain-18
*Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18
,
**Section: Section_Grain-19
*Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19
,
**Section: Section_Grain-20
*Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20
,
**Section: Section_Grain-21
*Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21
,
**Section: Section_Grain-22
*Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22
,
**Section: Section_Grain-23
*Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23
,
**Section: Section_Grain-24
*Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24
,
**Section: Section_Grain-25
*Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25
,
**Section: Section_Grain-26
*Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26
,
**Section: Section_Grain-27
*Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27
,
**Section: Section_Grain-28
*Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28
,
**Section: Section_Grain-29
*Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29
,
**Section: Section_Grain-30
*Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=NEPER-1, part=NEPER
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 7.142857e-02, 0.000000e+00, 0.000000e+00
3, 1.428571e-01, 0.000000e+00, 0.000000e+00
4, 2.142857e-01, 0.000000e+00, 0.000000e+00
5, 2.857143e-01, 0.000000e+00, 0.000000e+00
6, 3.571429e-01, 0.000000e+00, 0.000000e+00
7, 4.285714e-01, 0.000000e+00, 0.000000e+00
8, 5.000000e-01, 0.000000e+00, 0.000000e+00
9, 5.714286e-01, 0.000000e+00, 0.000000e+00
10, 6.428571e-01, 0.000000e+00, 0.000000e+00
11, 7.142857e-01, 0.000000e+00, 0.000000e+00
12, 7.857143e-01, 0.000000e+00, 0.000000e+00
13, 8.571429e-01, 0.000000e+00, 0.000000e+00
14, 9.285714e-01, 0.000000e+00, 0.000000e+00
15, 1.000000e+00, 0.000000e+00, 0.000000e+00
16, 0.000000e+00, 7.142857e-02, 0.000000e+00
17, 7.142857e-02, 7.142857e-02, 0.000000e+00
18, 1.428571e-01, 7.142857e-02, 0.000000e+00
19, 2.142857e-01, 7.142857e-02, 0.000000e+00
20, 2.857143e-01, 7.142857e-02, 0.000000e+00
21, 3.571429e-01, 7.142857e-02, 0.000000e+00
22, 4.285714e-01, 7.142857e-02, 0.000000e+00
23, 5.000000e-01, 7.142857e-02, 0.000000e+00
24, 5.714286e-01, 7.142857e-02, 0.000000e+00
25, 6.428571e-01, 7.142857e-02, 0.000000e+00
26, 7.142857e-01, 7.142857e-02, 0.000000e+00
27, 7.857143e-01, 7.142857e-02, 0.000000e+00
28, 8.571429e-01, 7.142857e-02, 0.000000e+00
29, 9.285714e-01, 7.142857e-02, 0.000000e+00
30, 1.000000e+00, 7.142857e-02, 0.000000e+00
31, 0.000000e+00, 1.428571e-01, 0.000000e+00
32, 7.142857e-02, 1.428571e-01, 0.000000e+00
33, 1.428571e-01, 1.428571e-01, 0.000000e+00
34, 2.142857e-01, 1.428571e-01, 0.000000e+00
35, 2.857143e-01, 1.428571e-01, 0.000000e+00
36, 3.571429e-01, 1.428571e-01, 0.000000e+00
37, 4.285714e-01, 1.428571e-01, 0.000000e+00
38, 5.000000e-01, 1.428571e-01, 0.000000e+00
39, 5.714286e-01, 1.428571e-01, 0.000000e+00
40, 6.428571e-01, 1.428571e-01, 0.000000e+00
41, 7.142857e-01, 1.428571e-01, 0.000000e+00
42, 7.857143e-01, 1.428571e-01, 0.000000e+00
43, 8.571429e-01, 1.428571e-01, 0.000000e+00
44, 9.285714e-01, 1.428571e-01, 0.000000e+00
45, 1.000000e+00, 1.428571e-01, 0.000000e+00
46, 0.000000e+00, 2.142857e-01, 0.000000e+00
47, 7.142857e-02, 2.142857e-01, 0.000000e+00
48, 1.428571e-01, 2.142857e-01, 0.000000e+00
49, 2.142857e-01, 2.142857e-01, 0.000000e+00
50, 2.857143e-01, 2.142857e-01, 0.000000e+00
51, 3.571429e-01, 2.142857e-01, 0.000000e+00
52, 4.285714e-01, 2.142857e-01, 0.000000e+00
53, 5.000000e-01, 2.142857e-01, 0.000000e+00
54, 5.714286e-01, 2.142857e-01, 0.000000e+00
55, 6.428571e-01, 2.142857e-01, 0.000000e+00
56, 7.142857e-01, 2.142857e-01, 0.000000e+00
57, 7.857143e-01, 2.142857e-01, 0.000000e+00
58, 8.571429e-01, 2.142857e-01, 0.000000e+00
59, 9.285714e-01, 2.142857e-01, 0.000000e+00
60, 1.000000e+00, 2.142857e-01, 0.000000e+00
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863, 5.000000e-01, 8.571429e-01, 2.142857e-01
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894, 5.714286e-01, 1.000000e+00, 2.142857e-01
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905, 2.857143e-01, 0.000000e+00, 2.857143e-01
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923, 5.000000e-01, 7.142857e-02, 2.857143e-01
924, 5.714286e-01, 7.142857e-02, 2.857143e-01
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932, 7.142857e-02, 1.428571e-01, 2.857143e-01
933, 1.428571e-01, 1.428571e-01, 2.857143e-01
934, 2.142857e-01, 1.428571e-01, 2.857143e-01
935, 2.857143e-01, 1.428571e-01, 2.857143e-01
936, 3.571429e-01, 1.428571e-01, 2.857143e-01
937, 4.285714e-01, 1.428571e-01, 2.857143e-01
938, 5.000000e-01, 1.428571e-01, 2.857143e-01
939, 5.714286e-01, 1.428571e-01, 2.857143e-01
940, 6.428571e-01, 1.428571e-01, 2.857143e-01
941, 7.142857e-01, 1.428571e-01, 2.857143e-01
942, 7.857143e-01, 1.428571e-01, 2.857143e-01
943, 8.571429e-01, 1.428571e-01, 2.857143e-01
944, 9.285714e-01, 1.428571e-01, 2.857143e-01
945, 1.000000e+00, 1.428571e-01, 2.857143e-01
946, 0.000000e+00, 2.142857e-01, 2.857143e-01
947, 7.142857e-02, 2.142857e-01, 2.857143e-01
948, 1.428571e-01, 2.142857e-01, 2.857143e-01
949, 2.142857e-01, 2.142857e-01, 2.857143e-01
950, 2.857143e-01, 2.142857e-01, 2.857143e-01
951, 3.571429e-01, 2.142857e-01, 2.857143e-01
952, 4.285714e-01, 2.142857e-01, 2.857143e-01
953, 5.000000e-01, 2.142857e-01, 2.857143e-01
954, 5.714286e-01, 2.142857e-01, 2.857143e-01
955, 6.428571e-01, 2.142857e-01, 2.857143e-01
956, 7.142857e-01, 2.142857e-01, 2.857143e-01
957, 7.857143e-01, 2.142857e-01, 2.857143e-01
958, 8.571429e-01, 2.142857e-01, 2.857143e-01
959, 9.285714e-01, 2.142857e-01, 2.857143e-01
960, 1.000000e+00, 2.142857e-01, 2.857143e-01
961, 0.000000e+00, 2.857143e-01, 2.857143e-01
962, 7.142857e-02, 2.857143e-01, 2.857143e-01
963, 1.428571e-01, 2.857143e-01, 2.857143e-01
964, 2.142857e-01, 2.857143e-01, 2.857143e-01
965, 2.857143e-01, 2.857143e-01, 2.857143e-01
966, 3.571429e-01, 2.857143e-01, 2.857143e-01
967, 4.285714e-01, 2.857143e-01, 2.857143e-01
968, 5.000000e-01, 2.857143e-01, 2.857143e-01
969, 5.714286e-01, 2.857143e-01, 2.857143e-01
970, 6.428571e-01, 2.857143e-01, 2.857143e-01
971, 7.142857e-01, 2.857143e-01, 2.857143e-01
972, 7.857143e-01, 2.857143e-01, 2.857143e-01
973, 8.571429e-01, 2.857143e-01, 2.857143e-01
974, 9.285714e-01, 2.857143e-01, 2.857143e-01
975, 1.000000e+00, 2.857143e-01, 2.857143e-01
976, 0.000000e+00, 3.571429e-01, 2.857143e-01
977, 7.142857e-02, 3.571429e-01, 2.857143e-01
978, 1.428571e-01, 3.571429e-01, 2.857143e-01
979, 2.142857e-01, 3.571429e-01, 2.857143e-01
980, 2.857143e-01, 3.571429e-01, 2.857143e-01
981, 3.571429e-01, 3.571429e-01, 2.857143e-01
982, 4.285714e-01, 3.571429e-01, 2.857143e-01
983, 5.000000e-01, 3.571429e-01, 2.857143e-01
984, 5.714286e-01, 3.571429e-01, 2.857143e-01
985, 6.428571e-01, 3.571429e-01, 2.857143e-01
986, 7.142857e-01, 3.571429e-01, 2.857143e-01
987, 7.857143e-01, 3.571429e-01, 2.857143e-01
988, 8.571429e-01, 3.571429e-01, 2.857143e-01
989, 9.285714e-01, 3.571429e-01, 2.857143e-01
990, 1.000000e+00, 3.571429e-01, 2.857143e-01
991, 0.000000e+00, 4.285714e-01, 2.857143e-01
992, 7.142857e-02, 4.285714e-01, 2.857143e-01
993, 1.428571e-01, 4.285714e-01, 2.857143e-01
994, 2.142857e-01, 4.285714e-01, 2.857143e-01
995, 2.857143e-01, 4.285714e-01, 2.857143e-01
996, 3.571429e-01, 4.285714e-01, 2.857143e-01
997, 4.285714e-01, 4.285714e-01, 2.857143e-01
998, 5.000000e-01, 4.285714e-01, 2.857143e-01
999, 5.714286e-01, 4.285714e-01, 2.857143e-01
1000, 6.428571e-01, 4.285714e-01, 2.857143e-01
1001, 7.142857e-01, 4.285714e-01, 2.857143e-01
1002, 7.857143e-01, 4.285714e-01, 2.857143e-01
1003, 8.571429e-01, 4.285714e-01, 2.857143e-01
1004, 9.285714e-01, 4.285714e-01, 2.857143e-01
1005, 1.000000e+00, 4.285714e-01, 2.857143e-01
1006, 0.000000e+00, 5.000000e-01, 2.857143e-01
1007, 7.142857e-02, 5.000000e-01, 2.857143e-01
1008, 1.428571e-01, 5.000000e-01, 2.857143e-01
1009, 2.142857e-01, 5.000000e-01, 2.857143e-01
1010, 2.857143e-01, 5.000000e-01, 2.857143e-01
1011, 3.571429e-01, 5.000000e-01, 2.857143e-01
1012, 4.285714e-01, 5.000000e-01, 2.857143e-01
1013, 5.000000e-01, 5.000000e-01, 2.857143e-01
1014, 5.714286e-01, 5.000000e-01, 2.857143e-01
1015, 6.428571e-01, 5.000000e-01, 2.857143e-01
1016, 7.142857e-01, 5.000000e-01, 2.857143e-01
1017, 7.857143e-01, 5.000000e-01, 2.857143e-01
1018, 8.571429e-01, 5.000000e-01, 2.857143e-01
1019, 9.285714e-01, 5.000000e-01, 2.857143e-01
1020, 1.000000e+00, 5.000000e-01, 2.857143e-01
1021, 0.000000e+00, 5.714286e-01, 2.857143e-01
1022, 7.142857e-02, 5.714286e-01, 2.857143e-01
1023, 1.428571e-01, 5.714286e-01, 2.857143e-01
1024, 2.142857e-01, 5.714286e-01, 2.857143e-01
1025, 2.857143e-01, 5.714286e-01, 2.857143e-01
1026, 3.571429e-01, 5.714286e-01, 2.857143e-01
1027, 4.285714e-01, 5.714286e-01, 2.857143e-01
1028, 5.000000e-01, 5.714286e-01, 2.857143e-01
1029, 5.714286e-01, 5.714286e-01, 2.857143e-01
1030, 6.428571e-01, 5.714286e-01, 2.857143e-01
1031, 7.142857e-01, 5.714286e-01, 2.857143e-01
1032, 7.857143e-01, 5.714286e-01, 2.857143e-01
1033, 8.571429e-01, 5.714286e-01, 2.857143e-01
1034, 9.285714e-01, 5.714286e-01, 2.857143e-01
1035, 1.000000e+00, 5.714286e-01, 2.857143e-01
1036, 0.000000e+00, 6.428571e-01, 2.857143e-01
1037, 7.142857e-02, 6.428571e-01, 2.857143e-01
1038, 1.428571e-01, 6.428571e-01, 2.857143e-01
1039, 2.142857e-01, 6.428571e-01, 2.857143e-01
1040, 2.857143e-01, 6.428571e-01, 2.857143e-01
1041, 3.571429e-01, 6.428571e-01, 2.857143e-01
1042, 4.285714e-01, 6.428571e-01, 2.857143e-01
1043, 5.000000e-01, 6.428571e-01, 2.857143e-01
1044, 5.714286e-01, 6.428571e-01, 2.857143e-01
1045, 6.428571e-01, 6.428571e-01, 2.857143e-01
1046, 7.142857e-01, 6.428571e-01, 2.857143e-01
1047, 7.857143e-01, 6.428571e-01, 2.857143e-01
1048, 8.571429e-01, 6.428571e-01, 2.857143e-01
1049, 9.285714e-01, 6.428571e-01, 2.857143e-01
1050, 1.000000e+00, 6.428571e-01, 2.857143e-01
1051, 0.000000e+00, 7.142857e-01, 2.857143e-01
1052, 7.142857e-02, 7.142857e-01, 2.857143e-01
1053, 1.428571e-01, 7.142857e-01, 2.857143e-01
1054, 2.142857e-01, 7.142857e-01, 2.857143e-01
1055, 2.857143e-01, 7.142857e-01, 2.857143e-01
1056, 3.571429e-01, 7.142857e-01, 2.857143e-01
1057, 4.285714e-01, 7.142857e-01, 2.857143e-01
1058, 5.000000e-01, 7.142857e-01, 2.857143e-01
1059, 5.714286e-01, 7.142857e-01, 2.857143e-01
1060, 6.428571e-01, 7.142857e-01, 2.857143e-01
1061, 7.142857e-01, 7.142857e-01, 2.857143e-01
1062, 7.857143e-01, 7.142857e-01, 2.857143e-01
1063, 8.571429e-01, 7.142857e-01, 2.857143e-01
1064, 9.285714e-01, 7.142857e-01, 2.857143e-01
1065, 1.000000e+00, 7.142857e-01, 2.857143e-01
1066, 0.000000e+00, 7.857143e-01, 2.857143e-01
1067, 7.142857e-02, 7.857143e-01, 2.857143e-01
1068, 1.428571e-01, 7.857143e-01, 2.857143e-01
1069, 2.142857e-01, 7.857143e-01, 2.857143e-01
1070, 2.857143e-01, 7.857143e-01, 2.857143e-01
1071, 3.571429e-01, 7.857143e-01, 2.857143e-01
1072, 4.285714e-01, 7.857143e-01, 2.857143e-01
1073, 5.000000e-01, 7.857143e-01, 2.857143e-01
1074, 5.714286e-01, 7.857143e-01, 2.857143e-01
1075, 6.428571e-01, 7.857143e-01, 2.857143e-01
1076, 7.142857e-01, 7.857143e-01, 2.857143e-01
1077, 7.857143e-01, 7.857143e-01, 2.857143e-01
1078, 8.571429e-01, 7.857143e-01, 2.857143e-01
1079, 9.285714e-01, 7.857143e-01, 2.857143e-01
1080, 1.000000e+00, 7.857143e-01, 2.857143e-01
1081, 0.000000e+00, 8.571429e-01, 2.857143e-01
1082, 7.142857e-02, 8.571429e-01, 2.857143e-01
1083, 1.428571e-01, 8.571429e-01, 2.857143e-01
1084, 2.142857e-01, 8.571429e-01, 2.857143e-01
1085, 2.857143e-01, 8.571429e-01, 2.857143e-01
1086, 3.571429e-01, 8.571429e-01, 2.857143e-01
1087, 4.285714e-01, 8.571429e-01, 2.857143e-01
1088, 5.000000e-01, 8.571429e-01, 2.857143e-01
1089, 5.714286e-01, 8.571429e-01, 2.857143e-01
1090, 6.428571e-01, 8.571429e-01, 2.857143e-01
1091, 7.142857e-01, 8.571429e-01, 2.857143e-01
1092, 7.857143e-01, 8.571429e-01, 2.857143e-01
1093, 8.571429e-01, 8.571429e-01, 2.857143e-01
1094, 9.285714e-01, 8.571429e-01, 2.857143e-01
1095, 1.000000e+00, 8.571429e-01, 2.857143e-01
1096, 0.000000e+00, 9.285714e-01, 2.857143e-01
1097, 7.142857e-02, 9.285714e-01, 2.857143e-01
1098, 1.428571e-01, 9.285714e-01, 2.857143e-01
1099, 2.142857e-01, 9.285714e-01, 2.857143e-01
1100, 2.857143e-01, 9.285714e-01, 2.857143e-01
1101, 3.571429e-01, 9.285714e-01, 2.857143e-01
1102, 4.285714e-01, 9.285714e-01, 2.857143e-01
1103, 5.000000e-01, 9.285714e-01, 2.857143e-01
1104, 5.714286e-01, 9.285714e-01, 2.857143e-01
1105, 6.428571e-01, 9.285714e-01, 2.857143e-01
1106, 7.142857e-01, 9.285714e-01, 2.857143e-01
1107, 7.857143e-01, 9.285714e-01, 2.857143e-01
1108, 8.571429e-01, 9.285714e-01, 2.857143e-01
1109, 9.285714e-01, 9.285714e-01, 2.857143e-01
1110, 1.000000e+00, 9.285714e-01, 2.857143e-01
1111, 0.000000e+00, 1.000000e+00, 2.857143e-01
1112, 7.142857e-02, 1.000000e+00, 2.857143e-01
1113, 1.428571e-01, 1.000000e+00, 2.857143e-01
1114, 2.142857e-01, 1.000000e+00, 2.857143e-01
1115, 2.857143e-01, 1.000000e+00, 2.857143e-01
1116, 3.571429e-01, 1.000000e+00, 2.857143e-01
1117, 4.285714e-01, 1.000000e+00, 2.857143e-01
1118, 5.000000e-01, 1.000000e+00, 2.857143e-01
1119, 5.714286e-01, 1.000000e+00, 2.857143e-01
1120, 6.428571e-01, 1.000000e+00, 2.857143e-01
1121, 7.142857e-01, 1.000000e+00, 2.857143e-01
1122, 7.857143e-01, 1.000000e+00, 2.857143e-01
1123, 8.571429e-01, 1.000000e+00, 2.857143e-01
1124, 9.285714e-01, 1.000000e+00, 2.857143e-01
1125, 1.000000e+00, 1.000000e+00, 2.857143e-01
1126, 0.000000e+00, 0.000000e+00, 3.571429e-01
1127, 7.142857e-02, 0.000000e+00, 3.571429e-01
1128, 1.428571e-01, 0.000000e+00, 3.571429e-01
1129, 2.142857e-01, 0.000000e+00, 3.571429e-01
1130, 2.857143e-01, 0.000000e+00, 3.571429e-01
1131, 3.571429e-01, 0.000000e+00, 3.571429e-01
1132, 4.285714e-01, 0.000000e+00, 3.571429e-01
1133, 5.000000e-01, 0.000000e+00, 3.571429e-01
1134, 5.714286e-01, 0.000000e+00, 3.571429e-01
1135, 6.428571e-01, 0.000000e+00, 3.571429e-01
1136, 7.142857e-01, 0.000000e+00, 3.571429e-01
1137, 7.857143e-01, 0.000000e+00, 3.571429e-01
1138, 8.571429e-01, 0.000000e+00, 3.571429e-01
1139, 9.285714e-01, 0.000000e+00, 3.571429e-01
1140, 1.000000e+00, 0.000000e+00, 3.571429e-01
1141, 0.000000e+00, 7.142857e-02, 3.571429e-01
1142, 7.142857e-02, 7.142857e-02, 3.571429e-01
1143, 1.428571e-01, 7.142857e-02, 3.571429e-01
1144, 2.142857e-01, 7.142857e-02, 3.571429e-01
1145, 2.857143e-01, 7.142857e-02, 3.571429e-01
1146, 3.571429e-01, 7.142857e-02, 3.571429e-01
1147, 4.285714e-01, 7.142857e-02, 3.571429e-01
1148, 5.000000e-01, 7.142857e-02, 3.571429e-01
1149, 5.714286e-01, 7.142857e-02, 3.571429e-01
1150, 6.428571e-01, 7.142857e-02, 3.571429e-01
1151, 7.142857e-01, 7.142857e-02, 3.571429e-01
1152, 7.857143e-01, 7.142857e-02, 3.571429e-01
1153, 8.571429e-01, 7.142857e-02, 3.571429e-01
1154, 9.285714e-01, 7.142857e-02, 3.571429e-01
1155, 1.000000e+00, 7.142857e-02, 3.571429e-01
1156, 0.000000e+00, 1.428571e-01, 3.571429e-01
1157, 7.142857e-02, 1.428571e-01, 3.571429e-01
1158, 1.428571e-01, 1.428571e-01, 3.571429e-01
1159, 2.142857e-01, 1.428571e-01, 3.571429e-01
1160, 2.857143e-01, 1.428571e-01, 3.571429e-01
1161, 3.571429e-01, 1.428571e-01, 3.571429e-01
1162, 4.285714e-01, 1.428571e-01, 3.571429e-01
1163, 5.000000e-01, 1.428571e-01, 3.571429e-01
1164, 5.714286e-01, 1.428571e-01, 3.571429e-01
1165, 6.428571e-01, 1.428571e-01, 3.571429e-01
1166, 7.142857e-01, 1.428571e-01, 3.571429e-01
1167, 7.857143e-01, 1.428571e-01, 3.571429e-01
1168, 8.571429e-01, 1.428571e-01, 3.571429e-01
1169, 9.285714e-01, 1.428571e-01, 3.571429e-01
1170, 1.000000e+00, 1.428571e-01, 3.571429e-01
1171, 0.000000e+00, 2.142857e-01, 3.571429e-01
1172, 7.142857e-02, 2.142857e-01, 3.571429e-01
1173, 1.428571e-01, 2.142857e-01, 3.571429e-01
1174, 2.142857e-01, 2.142857e-01, 3.571429e-01
1175, 2.857143e-01, 2.142857e-01, 3.571429e-01
1176, 3.571429e-01, 2.142857e-01, 3.571429e-01
1177, 4.285714e-01, 2.142857e-01, 3.571429e-01
1178, 5.000000e-01, 2.142857e-01, 3.571429e-01
1179, 5.714286e-01, 2.142857e-01, 3.571429e-01
1180, 6.428571e-01, 2.142857e-01, 3.571429e-01
1181, 7.142857e-01, 2.142857e-01, 3.571429e-01
1182, 7.857143e-01, 2.142857e-01, 3.571429e-01
1183, 8.571429e-01, 2.142857e-01, 3.571429e-01
1184, 9.285714e-01, 2.142857e-01, 3.571429e-01
1185, 1.000000e+00, 2.142857e-01, 3.571429e-01
1186, 0.000000e+00, 2.857143e-01, 3.571429e-01
1187, 7.142857e-02, 2.857143e-01, 3.571429e-01
1188, 1.428571e-01, 2.857143e-01, 3.571429e-01
1189, 2.142857e-01, 2.857143e-01, 3.571429e-01
1190, 2.857143e-01, 2.857143e-01, 3.571429e-01
1191, 3.571429e-01, 2.857143e-01, 3.571429e-01
1192, 4.285714e-01, 2.857143e-01, 3.571429e-01
1193, 5.000000e-01, 2.857143e-01, 3.571429e-01
1194, 5.714286e-01, 2.857143e-01, 3.571429e-01
1195, 6.428571e-01, 2.857143e-01, 3.571429e-01
1196, 7.142857e-01, 2.857143e-01, 3.571429e-01
1197, 7.857143e-01, 2.857143e-01, 3.571429e-01
1198, 8.571429e-01, 2.857143e-01, 3.571429e-01
1199, 9.285714e-01, 2.857143e-01, 3.571429e-01
1200, 1.000000e+00, 2.857143e-01, 3.571429e-01
1201, 0.000000e+00, 3.571429e-01, 3.571429e-01
1202, 7.142857e-02, 3.571429e-01, 3.571429e-01
1203, 1.428571e-01, 3.571429e-01, 3.571429e-01
1204, 2.142857e-01, 3.571429e-01, 3.571429e-01
1205, 2.857143e-01, 3.571429e-01, 3.571429e-01
1206, 3.571429e-01, 3.571429e-01, 3.571429e-01
1207, 4.285714e-01, 3.571429e-01, 3.571429e-01
1208, 5.000000e-01, 3.571429e-01, 3.571429e-01
1209, 5.714286e-01, 3.571429e-01, 3.571429e-01
1210, 6.428571e-01, 3.571429e-01, 3.571429e-01
1211, 7.142857e-01, 3.571429e-01, 3.571429e-01
1212, 7.857143e-01, 3.571429e-01, 3.571429e-01
1213, 8.571429e-01, 3.571429e-01, 3.571429e-01
1214, 9.285714e-01, 3.571429e-01, 3.571429e-01
1215, 1.000000e+00, 3.571429e-01, 3.571429e-01
1216, 0.000000e+00, 4.285714e-01, 3.571429e-01
1217, 7.142857e-02, 4.285714e-01, 3.571429e-01
1218, 1.428571e-01, 4.285714e-01, 3.571429e-01
1219, 2.142857e-01, 4.285714e-01, 3.571429e-01
1220, 2.857143e-01, 4.285714e-01, 3.571429e-01
1221, 3.571429e-01, 4.285714e-01, 3.571429e-01
1222, 4.285714e-01, 4.285714e-01, 3.571429e-01
1223, 5.000000e-01, 4.285714e-01, 3.571429e-01
1224, 5.714286e-01, 4.285714e-01, 3.571429e-01
1225, 6.428571e-01, 4.285714e-01, 3.571429e-01
1226, 7.142857e-01, 4.285714e-01, 3.571429e-01
1227, 7.857143e-01, 4.285714e-01, 3.571429e-01
1228, 8.571429e-01, 4.285714e-01, 3.571429e-01
1229, 9.285714e-01, 4.285714e-01, 3.571429e-01
1230, 1.000000e+00, 4.285714e-01, 3.571429e-01
1231, 0.000000e+00, 5.000000e-01, 3.571429e-01
1232, 7.142857e-02, 5.000000e-01, 3.571429e-01
1233, 1.428571e-01, 5.000000e-01, 3.571429e-01
1234, 2.142857e-01, 5.000000e-01, 3.571429e-01
1235, 2.857143e-01, 5.000000e-01, 3.571429e-01
1236, 3.571429e-01, 5.000000e-01, 3.571429e-01
1237, 4.285714e-01, 5.000000e-01, 3.571429e-01
1238, 5.000000e-01, 5.000000e-01, 3.571429e-01
1239, 5.714286e-01, 5.000000e-01, 3.571429e-01
1240, 6.428571e-01, 5.000000e-01, 3.571429e-01
1241, 7.142857e-01, 5.000000e-01, 3.571429e-01
1242, 7.857143e-01, 5.000000e-01, 3.571429e-01
1243, 8.571429e-01, 5.000000e-01, 3.571429e-01
1244, 9.285714e-01, 5.000000e-01, 3.571429e-01
1245, 1.000000e+00, 5.000000e-01, 3.571429e-01
1246, 0.000000e+00, 5.714286e-01, 3.571429e-01
1247, 7.142857e-02, 5.714286e-01, 3.571429e-01
1248, 1.428571e-01, 5.714286e-01, 3.571429e-01
1249, 2.142857e-01, 5.714286e-01, 3.571429e-01
1250, 2.857143e-01, 5.714286e-01, 3.571429e-01
1251, 3.571429e-01, 5.714286e-01, 3.571429e-01
1252, 4.285714e-01, 5.714286e-01, 3.571429e-01
1253, 5.000000e-01, 5.714286e-01, 3.571429e-01
1254, 5.714286e-01, 5.714286e-01, 3.571429e-01
1255, 6.428571e-01, 5.714286e-01, 3.571429e-01
1256, 7.142857e-01, 5.714286e-01, 3.571429e-01
1257, 7.857143e-01, 5.714286e-01, 3.571429e-01
1258, 8.571429e-01, 5.714286e-01, 3.571429e-01
1259, 9.285714e-01, 5.714286e-01, 3.571429e-01
1260, 1.000000e+00, 5.714286e-01, 3.571429e-01
1261, 0.000000e+00, 6.428571e-01, 3.571429e-01
1262, 7.142857e-02, 6.428571e-01, 3.571429e-01
1263, 1.428571e-01, 6.428571e-01, 3.571429e-01
1264, 2.142857e-01, 6.428571e-01, 3.571429e-01
1265, 2.857143e-01, 6.428571e-01, 3.571429e-01
1266, 3.571429e-01, 6.428571e-01, 3.571429e-01
1267, 4.285714e-01, 6.428571e-01, 3.571429e-01
1268, 5.000000e-01, 6.428571e-01, 3.571429e-01
1269, 5.714286e-01, 6.428571e-01, 3.571429e-01
1270, 6.428571e-01, 6.428571e-01, 3.571429e-01
1271, 7.142857e-01, 6.428571e-01, 3.571429e-01
1272, 7.857143e-01, 6.428571e-01, 3.571429e-01
1273, 8.571429e-01, 6.428571e-01, 3.571429e-01
1274, 9.285714e-01, 6.428571e-01, 3.571429e-01
1275, 1.000000e+00, 6.428571e-01, 3.571429e-01
1276, 0.000000e+00, 7.142857e-01, 3.571429e-01
1277, 7.142857e-02, 7.142857e-01, 3.571429e-01
1278, 1.428571e-01, 7.142857e-01, 3.571429e-01
1279, 2.142857e-01, 7.142857e-01, 3.571429e-01
1280, 2.857143e-01, 7.142857e-01, 3.571429e-01
1281, 3.571429e-01, 7.142857e-01, 3.571429e-01
1282, 4.285714e-01, 7.142857e-01, 3.571429e-01
1283, 5.000000e-01, 7.142857e-01, 3.571429e-01
1284, 5.714286e-01, 7.142857e-01, 3.571429e-01
1285, 6.428571e-01, 7.142857e-01, 3.571429e-01
1286, 7.142857e-01, 7.142857e-01, 3.571429e-01
1287, 7.857143e-01, 7.142857e-01, 3.571429e-01
1288, 8.571429e-01, 7.142857e-01, 3.571429e-01
1289, 9.285714e-01, 7.142857e-01, 3.571429e-01
1290, 1.000000e+00, 7.142857e-01, 3.571429e-01
1291, 0.000000e+00, 7.857143e-01, 3.571429e-01
1292, 7.142857e-02, 7.857143e-01, 3.571429e-01
1293, 1.428571e-01, 7.857143e-01, 3.571429e-01
1294, 2.142857e-01, 7.857143e-01, 3.571429e-01
1295, 2.857143e-01, 7.857143e-01, 3.571429e-01
1296, 3.571429e-01, 7.857143e-01, 3.571429e-01
1297, 4.285714e-01, 7.857143e-01, 3.571429e-01
1298, 5.000000e-01, 7.857143e-01, 3.571429e-01
1299, 5.714286e-01, 7.857143e-01, 3.571429e-01
1300, 6.428571e-01, 7.857143e-01, 3.571429e-01
1301, 7.142857e-01, 7.857143e-01, 3.571429e-01
1302, 7.857143e-01, 7.857143e-01, 3.571429e-01
1303, 8.571429e-01, 7.857143e-01, 3.571429e-01
1304, 9.285714e-01, 7.857143e-01, 3.571429e-01
1305, 1.000000e+00, 7.857143e-01, 3.571429e-01
1306, 0.000000e+00, 8.571429e-01, 3.571429e-01
1307, 7.142857e-02, 8.571429e-01, 3.571429e-01
1308, 1.428571e-01, 8.571429e-01, 3.571429e-01
1309, 2.142857e-01, 8.571429e-01, 3.571429e-01
1310, 2.857143e-01, 8.571429e-01, 3.571429e-01
1311, 3.571429e-01, 8.571429e-01, 3.571429e-01
1312, 4.285714e-01, 8.571429e-01, 3.571429e-01
1313, 5.000000e-01, 8.571429e-01, 3.571429e-01
1314, 5.714286e-01, 8.571429e-01, 3.571429e-01
1315, 6.428571e-01, 8.571429e-01, 3.571429e-01
1316, 7.142857e-01, 8.571429e-01, 3.571429e-01
1317, 7.857143e-01, 8.571429e-01, 3.571429e-01
1318, 8.571429e-01, 8.571429e-01, 3.571429e-01
1319, 9.285714e-01, 8.571429e-01, 3.571429e-01
1320, 1.000000e+00, 8.571429e-01, 3.571429e-01
1321, 0.000000e+00, 9.285714e-01, 3.571429e-01
1322, 7.142857e-02, 9.285714e-01, 3.571429e-01
1323, 1.428571e-01, 9.285714e-01, 3.571429e-01
1324, 2.142857e-01, 9.285714e-01, 3.571429e-01
1325, 2.857143e-01, 9.285714e-01, 3.571429e-01
1326, 3.571429e-01, 9.285714e-01, 3.571429e-01
1327, 4.285714e-01, 9.285714e-01, 3.571429e-01
1328, 5.000000e-01, 9.285714e-01, 3.571429e-01
1329, 5.714286e-01, 9.285714e-01, 3.571429e-01
1330, 6.428571e-01, 9.285714e-01, 3.571429e-01
1331, 7.142857e-01, 9.285714e-01, 3.571429e-01
1332, 7.857143e-01, 9.285714e-01, 3.571429e-01
1333, 8.571429e-01, 9.285714e-01, 3.571429e-01
1334, 9.285714e-01, 9.285714e-01, 3.571429e-01
1335, 1.000000e+00, 9.285714e-01, 3.571429e-01
1336, 0.000000e+00, 1.000000e+00, 3.571429e-01
1337, 7.142857e-02, 1.000000e+00, 3.571429e-01
1338, 1.428571e-01, 1.000000e+00, 3.571429e-01
1339, 2.142857e-01, 1.000000e+00, 3.571429e-01
1340, 2.857143e-01, 1.000000e+00, 3.571429e-01
1341, 3.571429e-01, 1.000000e+00, 3.571429e-01
1342, 4.285714e-01, 1.000000e+00, 3.571429e-01
1343, 5.000000e-01, 1.000000e+00, 3.571429e-01
1344, 5.714286e-01, 1.000000e+00, 3.571429e-01
1345, 6.428571e-01, 1.000000e+00, 3.571429e-01
1346, 7.142857e-01, 1.000000e+00, 3.571429e-01
1347, 7.857143e-01, 1.000000e+00, 3.571429e-01
1348, 8.571429e-01, 1.000000e+00, 3.571429e-01
1349, 9.285714e-01, 1.000000e+00, 3.571429e-01
1350, 1.000000e+00, 1.000000e+00, 3.571429e-01
1351, 0.000000e+00, 0.000000e+00, 4.285714e-01
1352, 7.142857e-02, 0.000000e+00, 4.285714e-01
1353, 1.428571e-01, 0.000000e+00, 4.285714e-01
1354, 2.142857e-01, 0.000000e+00, 4.285714e-01
1355, 2.857143e-01, 0.000000e+00, 4.285714e-01
1356, 3.571429e-01, 0.000000e+00, 4.285714e-01
1357, 4.285714e-01, 0.000000e+00, 4.285714e-01
1358, 5.000000e-01, 0.000000e+00, 4.285714e-01
1359, 5.714286e-01, 0.000000e+00, 4.285714e-01
1360, 6.428571e-01, 0.000000e+00, 4.285714e-01
1361, 7.142857e-01, 0.000000e+00, 4.285714e-01
1362, 7.857143e-01, 0.000000e+00, 4.285714e-01
1363, 8.571429e-01, 0.000000e+00, 4.285714e-01
1364, 9.285714e-01, 0.000000e+00, 4.285714e-01
1365, 1.000000e+00, 0.000000e+00, 4.285714e-01
1366, 0.000000e+00, 7.142857e-02, 4.285714e-01
1367, 7.142857e-02, 7.142857e-02, 4.285714e-01
1368, 1.428571e-01, 7.142857e-02, 4.285714e-01
1369, 2.142857e-01, 7.142857e-02, 4.285714e-01
1370, 2.857143e-01, 7.142857e-02, 4.285714e-01
1371, 3.571429e-01, 7.142857e-02, 4.285714e-01
1372, 4.285714e-01, 7.142857e-02, 4.285714e-01
1373, 5.000000e-01, 7.142857e-02, 4.285714e-01
1374, 5.714286e-01, 7.142857e-02, 4.285714e-01
1375, 6.428571e-01, 7.142857e-02, 4.285714e-01
1376, 7.142857e-01, 7.142857e-02, 4.285714e-01
1377, 7.857143e-01, 7.142857e-02, 4.285714e-01
1378, 8.571429e-01, 7.142857e-02, 4.285714e-01
1379, 9.285714e-01, 7.142857e-02, 4.285714e-01
1380, 1.000000e+00, 7.142857e-02, 4.285714e-01
1381, 0.000000e+00, 1.428571e-01, 4.285714e-01
1382, 7.142857e-02, 1.428571e-01, 4.285714e-01
1383, 1.428571e-01, 1.428571e-01, 4.285714e-01
1384, 2.142857e-01, 1.428571e-01, 4.285714e-01
1385, 2.857143e-01, 1.428571e-01, 4.285714e-01
1386, 3.571429e-01, 1.428571e-01, 4.285714e-01
1387, 4.285714e-01, 1.428571e-01, 4.285714e-01
1388, 5.000000e-01, 1.428571e-01, 4.285714e-01
1389, 5.714286e-01, 1.428571e-01, 4.285714e-01
1390, 6.428571e-01, 1.428571e-01, 4.285714e-01
1391, 7.142857e-01, 1.428571e-01, 4.285714e-01
1392, 7.857143e-01, 1.428571e-01, 4.285714e-01
1393, 8.571429e-01, 1.428571e-01, 4.285714e-01
1394, 9.285714e-01, 1.428571e-01, 4.285714e-01
1395, 1.000000e+00, 1.428571e-01, 4.285714e-01
1396, 0.000000e+00, 2.142857e-01, 4.285714e-01
1397, 7.142857e-02, 2.142857e-01, 4.285714e-01
1398, 1.428571e-01, 2.142857e-01, 4.285714e-01
1399, 2.142857e-01, 2.142857e-01, 4.285714e-01
1400, 2.857143e-01, 2.142857e-01, 4.285714e-01
1401, 3.571429e-01, 2.142857e-01, 4.285714e-01
1402, 4.285714e-01, 2.142857e-01, 4.285714e-01
1403, 5.000000e-01, 2.142857e-01, 4.285714e-01
1404, 5.714286e-01, 2.142857e-01, 4.285714e-01
1405, 6.428571e-01, 2.142857e-01, 4.285714e-01
1406, 7.142857e-01, 2.142857e-01, 4.285714e-01
1407, 7.857143e-01, 2.142857e-01, 4.285714e-01
1408, 8.571429e-01, 2.142857e-01, 4.285714e-01
1409, 9.285714e-01, 2.142857e-01, 4.285714e-01
1410, 1.000000e+00, 2.142857e-01, 4.285714e-01
1411, 0.000000e+00, 2.857143e-01, 4.285714e-01
1412, 7.142857e-02, 2.857143e-01, 4.285714e-01
1413, 1.428571e-01, 2.857143e-01, 4.285714e-01
1414, 2.142857e-01, 2.857143e-01, 4.285714e-01
1415, 2.857143e-01, 2.857143e-01, 4.285714e-01
1416, 3.571429e-01, 2.857143e-01, 4.285714e-01
1417, 4.285714e-01, 2.857143e-01, 4.285714e-01
1418, 5.000000e-01, 2.857143e-01, 4.285714e-01
1419, 5.714286e-01, 2.857143e-01, 4.285714e-01
1420, 6.428571e-01, 2.857143e-01, 4.285714e-01
1421, 7.142857e-01, 2.857143e-01, 4.285714e-01
1422, 7.857143e-01, 2.857143e-01, 4.285714e-01
1423, 8.571429e-01, 2.857143e-01, 4.285714e-01
1424, 9.285714e-01, 2.857143e-01, 4.285714e-01
1425, 1.000000e+00, 2.857143e-01, 4.285714e-01
1426, 0.000000e+00, 3.571429e-01, 4.285714e-01
1427, 7.142857e-02, 3.571429e-01, 4.285714e-01
1428, 1.428571e-01, 3.571429e-01, 4.285714e-01
1429, 2.142857e-01, 3.571429e-01, 4.285714e-01
1430, 2.857143e-01, 3.571429e-01, 4.285714e-01
1431, 3.571429e-01, 3.571429e-01, 4.285714e-01
1432, 4.285714e-01, 3.571429e-01, 4.285714e-01
1433, 5.000000e-01, 3.571429e-01, 4.285714e-01
1434, 5.714286e-01, 3.571429e-01, 4.285714e-01
1435, 6.428571e-01, 3.571429e-01, 4.285714e-01
1436, 7.142857e-01, 3.571429e-01, 4.285714e-01
1437, 7.857143e-01, 3.571429e-01, 4.285714e-01
1438, 8.571429e-01, 3.571429e-01, 4.285714e-01
1439, 9.285714e-01, 3.571429e-01, 4.285714e-01
1440, 1.000000e+00, 3.571429e-01, 4.285714e-01
1441, 0.000000e+00, 4.285714e-01, 4.285714e-01
1442, 7.142857e-02, 4.285714e-01, 4.285714e-01
1443, 1.428571e-01, 4.285714e-01, 4.285714e-01
1444, 2.142857e-01, 4.285714e-01, 4.285714e-01
1445, 2.857143e-01, 4.285714e-01, 4.285714e-01
1446, 3.571429e-01, 4.285714e-01, 4.285714e-01
1447, 4.285714e-01, 4.285714e-01, 4.285714e-01
1448, 5.000000e-01, 4.285714e-01, 4.285714e-01
1449, 5.714286e-01, 4.285714e-01, 4.285714e-01
1450, 6.428571e-01, 4.285714e-01, 4.285714e-01
1451, 7.142857e-01, 4.285714e-01, 4.285714e-01
1452, 7.857143e-01, 4.285714e-01, 4.285714e-01
1453, 8.571429e-01, 4.285714e-01, 4.285714e-01
1454, 9.285714e-01, 4.285714e-01, 4.285714e-01
1455, 1.000000e+00, 4.285714e-01, 4.285714e-01
1456, 0.000000e+00, 5.000000e-01, 4.285714e-01
1457, 7.142857e-02, 5.000000e-01, 4.285714e-01
1458, 1.428571e-01, 5.000000e-01, 4.285714e-01
1459, 2.142857e-01, 5.000000e-01, 4.285714e-01
1460, 2.857143e-01, 5.000000e-01, 4.285714e-01
1461, 3.571429e-01, 5.000000e-01, 4.285714e-01
1462, 4.285714e-01, 5.000000e-01, 4.285714e-01
1463, 5.000000e-01, 5.000000e-01, 4.285714e-01
1464, 5.714286e-01, 5.000000e-01, 4.285714e-01
1465, 6.428571e-01, 5.000000e-01, 4.285714e-01
1466, 7.142857e-01, 5.000000e-01, 4.285714e-01
1467, 7.857143e-01, 5.000000e-01, 4.285714e-01
1468, 8.571429e-01, 5.000000e-01, 4.285714e-01
1469, 9.285714e-01, 5.000000e-01, 4.285714e-01
1470, 1.000000e+00, 5.000000e-01, 4.285714e-01
1471, 0.000000e+00, 5.714286e-01, 4.285714e-01
1472, 7.142857e-02, 5.714286e-01, 4.285714e-01
1473, 1.428571e-01, 5.714286e-01, 4.285714e-01
1474, 2.142857e-01, 5.714286e-01, 4.285714e-01
1475, 2.857143e-01, 5.714286e-01, 4.285714e-01
1476, 3.571429e-01, 5.714286e-01, 4.285714e-01
1477, 4.285714e-01, 5.714286e-01, 4.285714e-01
1478, 5.000000e-01, 5.714286e-01, 4.285714e-01
1479, 5.714286e-01, 5.714286e-01, 4.285714e-01
1480, 6.428571e-01, 5.714286e-01, 4.285714e-01
1481, 7.142857e-01, 5.714286e-01, 4.285714e-01
1482, 7.857143e-01, 5.714286e-01, 4.285714e-01
1483, 8.571429e-01, 5.714286e-01, 4.285714e-01
1484, 9.285714e-01, 5.714286e-01, 4.285714e-01
1485, 1.000000e+00, 5.714286e-01, 4.285714e-01
1486, 0.000000e+00, 6.428571e-01, 4.285714e-01
1487, 7.142857e-02, 6.428571e-01, 4.285714e-01
1488, 1.428571e-01, 6.428571e-01, 4.285714e-01
1489, 2.142857e-01, 6.428571e-01, 4.285714e-01
1490, 2.857143e-01, 6.428571e-01, 4.285714e-01
1491, 3.571429e-01, 6.428571e-01, 4.285714e-01
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1493, 5.000000e-01, 6.428571e-01, 4.285714e-01
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1497, 7.857143e-01, 6.428571e-01, 4.285714e-01
1498, 8.571429e-01, 6.428571e-01, 4.285714e-01
1499, 9.285714e-01, 6.428571e-01, 4.285714e-01
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1502, 7.142857e-02, 7.142857e-01, 4.285714e-01
1503, 1.428571e-01, 7.142857e-01, 4.285714e-01
1504, 2.142857e-01, 7.142857e-01, 4.285714e-01
1505, 2.857143e-01, 7.142857e-01, 4.285714e-01
1506, 3.571429e-01, 7.142857e-01, 4.285714e-01
1507, 4.285714e-01, 7.142857e-01, 4.285714e-01
1508, 5.000000e-01, 7.142857e-01, 4.285714e-01
1509, 5.714286e-01, 7.142857e-01, 4.285714e-01
1510, 6.428571e-01, 7.142857e-01, 4.285714e-01
1511, 7.142857e-01, 7.142857e-01, 4.285714e-01
1512, 7.857143e-01, 7.142857e-01, 4.285714e-01
1513, 8.571429e-01, 7.142857e-01, 4.285714e-01
1514, 9.285714e-01, 7.142857e-01, 4.285714e-01
1515, 1.000000e+00, 7.142857e-01, 4.285714e-01
1516, 0.000000e+00, 7.857143e-01, 4.285714e-01
1517, 7.142857e-02, 7.857143e-01, 4.285714e-01
1518, 1.428571e-01, 7.857143e-01, 4.285714e-01
1519, 2.142857e-01, 7.857143e-01, 4.285714e-01
1520, 2.857143e-01, 7.857143e-01, 4.285714e-01
1521, 3.571429e-01, 7.857143e-01, 4.285714e-01
1522, 4.285714e-01, 7.857143e-01, 4.285714e-01
1523, 5.000000e-01, 7.857143e-01, 4.285714e-01
1524, 5.714286e-01, 7.857143e-01, 4.285714e-01
1525, 6.428571e-01, 7.857143e-01, 4.285714e-01
1526, 7.142857e-01, 7.857143e-01, 4.285714e-01
1527, 7.857143e-01, 7.857143e-01, 4.285714e-01
1528, 8.571429e-01, 7.857143e-01, 4.285714e-01
1529, 9.285714e-01, 7.857143e-01, 4.285714e-01
1530, 1.000000e+00, 7.857143e-01, 4.285714e-01
1531, 0.000000e+00, 8.571429e-01, 4.285714e-01
1532, 7.142857e-02, 8.571429e-01, 4.285714e-01
1533, 1.428571e-01, 8.571429e-01, 4.285714e-01
1534, 2.142857e-01, 8.571429e-01, 4.285714e-01
1535, 2.857143e-01, 8.571429e-01, 4.285714e-01
1536, 3.571429e-01, 8.571429e-01, 4.285714e-01
1537, 4.285714e-01, 8.571429e-01, 4.285714e-01
1538, 5.000000e-01, 8.571429e-01, 4.285714e-01
1539, 5.714286e-01, 8.571429e-01, 4.285714e-01
1540, 6.428571e-01, 8.571429e-01, 4.285714e-01
1541, 7.142857e-01, 8.571429e-01, 4.285714e-01
1542, 7.857143e-01, 8.571429e-01, 4.285714e-01
1543, 8.571429e-01, 8.571429e-01, 4.285714e-01
1544, 9.285714e-01, 8.571429e-01, 4.285714e-01
1545, 1.000000e+00, 8.571429e-01, 4.285714e-01
1546, 0.000000e+00, 9.285714e-01, 4.285714e-01
1547, 7.142857e-02, 9.285714e-01, 4.285714e-01
1548, 1.428571e-01, 9.285714e-01, 4.285714e-01
1549, 2.142857e-01, 9.285714e-01, 4.285714e-01
1550, 2.857143e-01, 9.285714e-01, 4.285714e-01
1551, 3.571429e-01, 9.285714e-01, 4.285714e-01
1552, 4.285714e-01, 9.285714e-01, 4.285714e-01
1553, 5.000000e-01, 9.285714e-01, 4.285714e-01
1554, 5.714286e-01, 9.285714e-01, 4.285714e-01
1555, 6.428571e-01, 9.285714e-01, 4.285714e-01
1556, 7.142857e-01, 9.285714e-01, 4.285714e-01
1557, 7.857143e-01, 9.285714e-01, 4.285714e-01
1558, 8.571429e-01, 9.285714e-01, 4.285714e-01
1559, 9.285714e-01, 9.285714e-01, 4.285714e-01
1560, 1.000000e+00, 9.285714e-01, 4.285714e-01
1561, 0.000000e+00, 1.000000e+00, 4.285714e-01
1562, 7.142857e-02, 1.000000e+00, 4.285714e-01
1563, 1.428571e-01, 1.000000e+00, 4.285714e-01
1564, 2.142857e-01, 1.000000e+00, 4.285714e-01
1565, 2.857143e-01, 1.000000e+00, 4.285714e-01
1566, 3.571429e-01, 1.000000e+00, 4.285714e-01
1567, 4.285714e-01, 1.000000e+00, 4.285714e-01
1568, 5.000000e-01, 1.000000e+00, 4.285714e-01
1569, 5.714286e-01, 1.000000e+00, 4.285714e-01
1570, 6.428571e-01, 1.000000e+00, 4.285714e-01
1571, 7.142857e-01, 1.000000e+00, 4.285714e-01
1572, 7.857143e-01, 1.000000e+00, 4.285714e-01
1573, 8.571429e-01, 1.000000e+00, 4.285714e-01
1574, 9.285714e-01, 1.000000e+00, 4.285714e-01
1575, 1.000000e+00, 1.000000e+00, 4.285714e-01
1576, 0.000000e+00, 0.000000e+00, 5.000000e-01
1577, 7.142857e-02, 0.000000e+00, 5.000000e-01
1578, 1.428571e-01, 0.000000e+00, 5.000000e-01
1579, 2.142857e-01, 0.000000e+00, 5.000000e-01
1580, 2.857143e-01, 0.000000e+00, 5.000000e-01
1581, 3.571429e-01, 0.000000e+00, 5.000000e-01
1582, 4.285714e-01, 0.000000e+00, 5.000000e-01
1583, 5.000000e-01, 0.000000e+00, 5.000000e-01
1584, 5.714286e-01, 0.000000e+00, 5.000000e-01
1585, 6.428571e-01, 0.000000e+00, 5.000000e-01
1586, 7.142857e-01, 0.000000e+00, 5.000000e-01
1587, 7.857143e-01, 0.000000e+00, 5.000000e-01
1588, 8.571429e-01, 0.000000e+00, 5.000000e-01
1589, 9.285714e-01, 0.000000e+00, 5.000000e-01
1590, 1.000000e+00, 0.000000e+00, 5.000000e-01
1591, 0.000000e+00, 7.142857e-02, 5.000000e-01
1592, 7.142857e-02, 7.142857e-02, 5.000000e-01
1593, 1.428571e-01, 7.142857e-02, 5.000000e-01
1594, 2.142857e-01, 7.142857e-02, 5.000000e-01
1595, 2.857143e-01, 7.142857e-02, 5.000000e-01
1596, 3.571429e-01, 7.142857e-02, 5.000000e-01
1597, 4.285714e-01, 7.142857e-02, 5.000000e-01
1598, 5.000000e-01, 7.142857e-02, 5.000000e-01
1599, 5.714286e-01, 7.142857e-02, 5.000000e-01
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1601, 7.142857e-01, 7.142857e-02, 5.000000e-01
1602, 7.857143e-01, 7.142857e-02, 5.000000e-01
1603, 8.571429e-01, 7.142857e-02, 5.000000e-01
1604, 9.285714e-01, 7.142857e-02, 5.000000e-01
1605, 1.000000e+00, 7.142857e-02, 5.000000e-01
1606, 0.000000e+00, 1.428571e-01, 5.000000e-01
1607, 7.142857e-02, 1.428571e-01, 5.000000e-01
1608, 1.428571e-01, 1.428571e-01, 5.000000e-01
1609, 2.142857e-01, 1.428571e-01, 5.000000e-01
1610, 2.857143e-01, 1.428571e-01, 5.000000e-01
1611, 3.571429e-01, 1.428571e-01, 5.000000e-01
1612, 4.285714e-01, 1.428571e-01, 5.000000e-01
1613, 5.000000e-01, 1.428571e-01, 5.000000e-01
1614, 5.714286e-01, 1.428571e-01, 5.000000e-01
1615, 6.428571e-01, 1.428571e-01, 5.000000e-01
1616, 7.142857e-01, 1.428571e-01, 5.000000e-01
1617, 7.857143e-01, 1.428571e-01, 5.000000e-01
1618, 8.571429e-01, 1.428571e-01, 5.000000e-01
1619, 9.285714e-01, 1.428571e-01, 5.000000e-01
1620, 1.000000e+00, 1.428571e-01, 5.000000e-01
1621, 0.000000e+00, 2.142857e-01, 5.000000e-01
1622, 7.142857e-02, 2.142857e-01, 5.000000e-01
1623, 1.428571e-01, 2.142857e-01, 5.000000e-01
1624, 2.142857e-01, 2.142857e-01, 5.000000e-01
1625, 2.857143e-01, 2.142857e-01, 5.000000e-01
1626, 3.571429e-01, 2.142857e-01, 5.000000e-01
1627, 4.285714e-01, 2.142857e-01, 5.000000e-01
1628, 5.000000e-01, 2.142857e-01, 5.000000e-01
1629, 5.714286e-01, 2.142857e-01, 5.000000e-01
1630, 6.428571e-01, 2.142857e-01, 5.000000e-01
1631, 7.142857e-01, 2.142857e-01, 5.000000e-01
1632, 7.857143e-01, 2.142857e-01, 5.000000e-01
1633, 8.571429e-01, 2.142857e-01, 5.000000e-01
1634, 9.285714e-01, 2.142857e-01, 5.000000e-01
1635, 1.000000e+00, 2.142857e-01, 5.000000e-01
1636, 0.000000e+00, 2.857143e-01, 5.000000e-01
1637, 7.142857e-02, 2.857143e-01, 5.000000e-01
1638, 1.428571e-01, 2.857143e-01, 5.000000e-01
1639, 2.142857e-01, 2.857143e-01, 5.000000e-01
1640, 2.857143e-01, 2.857143e-01, 5.000000e-01
1641, 3.571429e-01, 2.857143e-01, 5.000000e-01
1642, 4.285714e-01, 2.857143e-01, 5.000000e-01
1643, 5.000000e-01, 2.857143e-01, 5.000000e-01
1644, 5.714286e-01, 2.857143e-01, 5.000000e-01
1645, 6.428571e-01, 2.857143e-01, 5.000000e-01
1646, 7.142857e-01, 2.857143e-01, 5.000000e-01
1647, 7.857143e-01, 2.857143e-01, 5.000000e-01
1648, 8.571429e-01, 2.857143e-01, 5.000000e-01
1649, 9.285714e-01, 2.857143e-01, 5.000000e-01
1650, 1.000000e+00, 2.857143e-01, 5.000000e-01
1651, 0.000000e+00, 3.571429e-01, 5.000000e-01
1652, 7.142857e-02, 3.571429e-01, 5.000000e-01
1653, 1.428571e-01, 3.571429e-01, 5.000000e-01
1654, 2.142857e-01, 3.571429e-01, 5.000000e-01
1655, 2.857143e-01, 3.571429e-01, 5.000000e-01
1656, 3.571429e-01, 3.571429e-01, 5.000000e-01
1657, 4.285714e-01, 3.571429e-01, 5.000000e-01
1658, 5.000000e-01, 3.571429e-01, 5.000000e-01
1659, 5.714286e-01, 3.571429e-01, 5.000000e-01
1660, 6.428571e-01, 3.571429e-01, 5.000000e-01
1661, 7.142857e-01, 3.571429e-01, 5.000000e-01
1662, 7.857143e-01, 3.571429e-01, 5.000000e-01
1663, 8.571429e-01, 3.571429e-01, 5.000000e-01
1664, 9.285714e-01, 3.571429e-01, 5.000000e-01
1665, 1.000000e+00, 3.571429e-01, 5.000000e-01
1666, 0.000000e+00, 4.285714e-01, 5.000000e-01
1667, 7.142857e-02, 4.285714e-01, 5.000000e-01
1668, 1.428571e-01, 4.285714e-01, 5.000000e-01
1669, 2.142857e-01, 4.285714e-01, 5.000000e-01
1670, 2.857143e-01, 4.285714e-01, 5.000000e-01
1671, 3.571429e-01, 4.285714e-01, 5.000000e-01
1672, 4.285714e-01, 4.285714e-01, 5.000000e-01
1673, 5.000000e-01, 4.285714e-01, 5.000000e-01
1674, 5.714286e-01, 4.285714e-01, 5.000000e-01
1675, 6.428571e-01, 4.285714e-01, 5.000000e-01
1676, 7.142857e-01, 4.285714e-01, 5.000000e-01
1677, 7.857143e-01, 4.285714e-01, 5.000000e-01
1678, 8.571429e-01, 4.285714e-01, 5.000000e-01
1679, 9.285714e-01, 4.285714e-01, 5.000000e-01
1680, 1.000000e+00, 4.285714e-01, 5.000000e-01
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1682, 7.142857e-02, 5.000000e-01, 5.000000e-01
1683, 1.428571e-01, 5.000000e-01, 5.000000e-01
1684, 2.142857e-01, 5.000000e-01, 5.000000e-01
1685, 2.857143e-01, 5.000000e-01, 5.000000e-01
1686, 3.571429e-01, 5.000000e-01, 5.000000e-01
1687, 4.285714e-01, 5.000000e-01, 5.000000e-01
1688, 5.000000e-01, 5.000000e-01, 5.000000e-01
1689, 5.714286e-01, 5.000000e-01, 5.000000e-01
1690, 6.428571e-01, 5.000000e-01, 5.000000e-01
1691, 7.142857e-01, 5.000000e-01, 5.000000e-01
1692, 7.857143e-01, 5.000000e-01, 5.000000e-01
1693, 8.571429e-01, 5.000000e-01, 5.000000e-01
1694, 9.285714e-01, 5.000000e-01, 5.000000e-01
1695, 1.000000e+00, 5.000000e-01, 5.000000e-01
1696, 0.000000e+00, 5.714286e-01, 5.000000e-01
1697, 7.142857e-02, 5.714286e-01, 5.000000e-01
1698, 1.428571e-01, 5.714286e-01, 5.000000e-01
1699, 2.142857e-01, 5.714286e-01, 5.000000e-01
1700, 2.857143e-01, 5.714286e-01, 5.000000e-01
1701, 3.571429e-01, 5.714286e-01, 5.000000e-01
1702, 4.285714e-01, 5.714286e-01, 5.000000e-01
1703, 5.000000e-01, 5.714286e-01, 5.000000e-01
1704, 5.714286e-01, 5.714286e-01, 5.000000e-01
1705, 6.428571e-01, 5.714286e-01, 5.000000e-01
1706, 7.142857e-01, 5.714286e-01, 5.000000e-01
1707, 7.857143e-01, 5.714286e-01, 5.000000e-01
1708, 8.571429e-01, 5.714286e-01, 5.000000e-01
1709, 9.285714e-01, 5.714286e-01, 5.000000e-01
1710, 1.000000e+00, 5.714286e-01, 5.000000e-01
1711, 0.000000e+00, 6.428571e-01, 5.000000e-01
1712, 7.142857e-02, 6.428571e-01, 5.000000e-01
1713, 1.428571e-01, 6.428571e-01, 5.000000e-01
1714, 2.142857e-01, 6.428571e-01, 5.000000e-01
1715, 2.857143e-01, 6.428571e-01, 5.000000e-01
1716, 3.571429e-01, 6.428571e-01, 5.000000e-01
1717, 4.285714e-01, 6.428571e-01, 5.000000e-01
1718, 5.000000e-01, 6.428571e-01, 5.000000e-01
1719, 5.714286e-01, 6.428571e-01, 5.000000e-01
1720, 6.428571e-01, 6.428571e-01, 5.000000e-01
1721, 7.142857e-01, 6.428571e-01, 5.000000e-01
1722, 7.857143e-01, 6.428571e-01, 5.000000e-01
1723, 8.571429e-01, 6.428571e-01, 5.000000e-01
1724, 9.285714e-01, 6.428571e-01, 5.000000e-01
1725, 1.000000e+00, 6.428571e-01, 5.000000e-01
1726, 0.000000e+00, 7.142857e-01, 5.000000e-01
1727, 7.142857e-02, 7.142857e-01, 5.000000e-01
1728, 1.428571e-01, 7.142857e-01, 5.000000e-01
1729, 2.142857e-01, 7.142857e-01, 5.000000e-01
1730, 2.857143e-01, 7.142857e-01, 5.000000e-01
1731, 3.571429e-01, 7.142857e-01, 5.000000e-01
1732, 4.285714e-01, 7.142857e-01, 5.000000e-01
1733, 5.000000e-01, 7.142857e-01, 5.000000e-01
1734, 5.714286e-01, 7.142857e-01, 5.000000e-01
1735, 6.428571e-01, 7.142857e-01, 5.000000e-01
1736, 7.142857e-01, 7.142857e-01, 5.000000e-01
1737, 7.857143e-01, 7.142857e-01, 5.000000e-01
1738, 8.571429e-01, 7.142857e-01, 5.000000e-01
1739, 9.285714e-01, 7.142857e-01, 5.000000e-01
1740, 1.000000e+00, 7.142857e-01, 5.000000e-01
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1743, 1.428571e-01, 7.857143e-01, 5.000000e-01
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1747, 4.285714e-01, 7.857143e-01, 5.000000e-01
1748, 5.000000e-01, 7.857143e-01, 5.000000e-01
1749, 5.714286e-01, 7.857143e-01, 5.000000e-01
1750, 6.428571e-01, 7.857143e-01, 5.000000e-01
1751, 7.142857e-01, 7.857143e-01, 5.000000e-01
1752, 7.857143e-01, 7.857143e-01, 5.000000e-01
1753, 8.571429e-01, 7.857143e-01, 5.000000e-01
1754, 9.285714e-01, 7.857143e-01, 5.000000e-01
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1758, 1.428571e-01, 8.571429e-01, 5.000000e-01
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1760, 2.857143e-01, 8.571429e-01, 5.000000e-01
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1762, 4.285714e-01, 8.571429e-01, 5.000000e-01
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1764, 5.714286e-01, 8.571429e-01, 5.000000e-01
1765, 6.428571e-01, 8.571429e-01, 5.000000e-01
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1767, 7.857143e-01, 8.571429e-01, 5.000000e-01
1768, 8.571429e-01, 8.571429e-01, 5.000000e-01
1769, 9.285714e-01, 8.571429e-01, 5.000000e-01
1770, 1.000000e+00, 8.571429e-01, 5.000000e-01
1771, 0.000000e+00, 9.285714e-01, 5.000000e-01
1772, 7.142857e-02, 9.285714e-01, 5.000000e-01
1773, 1.428571e-01, 9.285714e-01, 5.000000e-01
1774, 2.142857e-01, 9.285714e-01, 5.000000e-01
1775, 2.857143e-01, 9.285714e-01, 5.000000e-01
1776, 3.571429e-01, 9.285714e-01, 5.000000e-01
1777, 4.285714e-01, 9.285714e-01, 5.000000e-01
1778, 5.000000e-01, 9.285714e-01, 5.000000e-01
1779, 5.714286e-01, 9.285714e-01, 5.000000e-01
1780, 6.428571e-01, 9.285714e-01, 5.000000e-01
1781, 7.142857e-01, 9.285714e-01, 5.000000e-01
1782, 7.857143e-01, 9.285714e-01, 5.000000e-01
1783, 8.571429e-01, 9.285714e-01, 5.000000e-01
1784, 9.285714e-01, 9.285714e-01, 5.000000e-01
1785, 1.000000e+00, 9.285714e-01, 5.000000e-01
1786, 0.000000e+00, 1.000000e+00, 5.000000e-01
1787, 7.142857e-02, 1.000000e+00, 5.000000e-01
1788, 1.428571e-01, 1.000000e+00, 5.000000e-01
1789, 2.142857e-01, 1.000000e+00, 5.000000e-01
1790, 2.857143e-01, 1.000000e+00, 5.000000e-01
1791, 3.571429e-01, 1.000000e+00, 5.000000e-01
1792, 4.285714e-01, 1.000000e+00, 5.000000e-01
1793, 5.000000e-01, 1.000000e+00, 5.000000e-01
1794, 5.714286e-01, 1.000000e+00, 5.000000e-01
1795, 6.428571e-01, 1.000000e+00, 5.000000e-01
1796, 7.142857e-01, 1.000000e+00, 5.000000e-01
1797, 7.857143e-01, 1.000000e+00, 5.000000e-01
1798, 8.571429e-01, 1.000000e+00, 5.000000e-01
1799, 9.285714e-01, 1.000000e+00, 5.000000e-01
1800, 1.000000e+00, 1.000000e+00, 5.000000e-01
1801, 0.000000e+00, 0.000000e+00, 5.714286e-01
1802, 7.142857e-02, 0.000000e+00, 5.714286e-01
1803, 1.428571e-01, 0.000000e+00, 5.714286e-01
1804, 2.142857e-01, 0.000000e+00, 5.714286e-01
1805, 2.857143e-01, 0.000000e+00, 5.714286e-01
1806, 3.571429e-01, 0.000000e+00, 5.714286e-01
1807, 4.285714e-01, 0.000000e+00, 5.714286e-01
1808, 5.000000e-01, 0.000000e+00, 5.714286e-01
1809, 5.714286e-01, 0.000000e+00, 5.714286e-01
1810, 6.428571e-01, 0.000000e+00, 5.714286e-01
1811, 7.142857e-01, 0.000000e+00, 5.714286e-01
1812, 7.857143e-01, 0.000000e+00, 5.714286e-01
1813, 8.571429e-01, 0.000000e+00, 5.714286e-01
1814, 9.285714e-01, 0.000000e+00, 5.714286e-01
1815, 1.000000e+00, 0.000000e+00, 5.714286e-01
1816, 0.000000e+00, 7.142857e-02, 5.714286e-01
1817, 7.142857e-02, 7.142857e-02, 5.714286e-01
1818, 1.428571e-01, 7.142857e-02, 5.714286e-01
1819, 2.142857e-01, 7.142857e-02, 5.714286e-01
1820, 2.857143e-01, 7.142857e-02, 5.714286e-01
1821, 3.571429e-01, 7.142857e-02, 5.714286e-01
1822, 4.285714e-01, 7.142857e-02, 5.714286e-01
1823, 5.000000e-01, 7.142857e-02, 5.714286e-01
1824, 5.714286e-01, 7.142857e-02, 5.714286e-01
1825, 6.428571e-01, 7.142857e-02, 5.714286e-01
1826, 7.142857e-01, 7.142857e-02, 5.714286e-01
1827, 7.857143e-01, 7.142857e-02, 5.714286e-01
1828, 8.571429e-01, 7.142857e-02, 5.714286e-01
1829, 9.285714e-01, 7.142857e-02, 5.714286e-01
1830, 1.000000e+00, 7.142857e-02, 5.714286e-01
1831, 0.000000e+00, 1.428571e-01, 5.714286e-01
1832, 7.142857e-02, 1.428571e-01, 5.714286e-01
1833, 1.428571e-01, 1.428571e-01, 5.714286e-01
1834, 2.142857e-01, 1.428571e-01, 5.714286e-01
1835, 2.857143e-01, 1.428571e-01, 5.714286e-01
1836, 3.571429e-01, 1.428571e-01, 5.714286e-01
1837, 4.285714e-01, 1.428571e-01, 5.714286e-01
1838, 5.000000e-01, 1.428571e-01, 5.714286e-01
1839, 5.714286e-01, 1.428571e-01, 5.714286e-01
1840, 6.428571e-01, 1.428571e-01, 5.714286e-01
1841, 7.142857e-01, 1.428571e-01, 5.714286e-01
1842, 7.857143e-01, 1.428571e-01, 5.714286e-01
1843, 8.571429e-01, 1.428571e-01, 5.714286e-01
1844, 9.285714e-01, 1.428571e-01, 5.714286e-01
1845, 1.000000e+00, 1.428571e-01, 5.714286e-01
1846, 0.000000e+00, 2.142857e-01, 5.714286e-01
1847, 7.142857e-02, 2.142857e-01, 5.714286e-01
1848, 1.428571e-01, 2.142857e-01, 5.714286e-01
1849, 2.142857e-01, 2.142857e-01, 5.714286e-01
1850, 2.857143e-01, 2.142857e-01, 5.714286e-01
1851, 3.571429e-01, 2.142857e-01, 5.714286e-01
1852, 4.285714e-01, 2.142857e-01, 5.714286e-01
1853, 5.000000e-01, 2.142857e-01, 5.714286e-01
1854, 5.714286e-01, 2.142857e-01, 5.714286e-01
1855, 6.428571e-01, 2.142857e-01, 5.714286e-01
1856, 7.142857e-01, 2.142857e-01, 5.714286e-01
1857, 7.857143e-01, 2.142857e-01, 5.714286e-01
1858, 8.571429e-01, 2.142857e-01, 5.714286e-01
1859, 9.285714e-01, 2.142857e-01, 5.714286e-01
1860, 1.000000e+00, 2.142857e-01, 5.714286e-01
1861, 0.000000e+00, 2.857143e-01, 5.714286e-01
1862, 7.142857e-02, 2.857143e-01, 5.714286e-01
1863, 1.428571e-01, 2.857143e-01, 5.714286e-01
1864, 2.142857e-01, 2.857143e-01, 5.714286e-01
1865, 2.857143e-01, 2.857143e-01, 5.714286e-01
1866, 3.571429e-01, 2.857143e-01, 5.714286e-01
1867, 4.285714e-01, 2.857143e-01, 5.714286e-01
1868, 5.000000e-01, 2.857143e-01, 5.714286e-01
1869, 5.714286e-01, 2.857143e-01, 5.714286e-01
1870, 6.428571e-01, 2.857143e-01, 5.714286e-01
1871, 7.142857e-01, 2.857143e-01, 5.714286e-01
1872, 7.857143e-01, 2.857143e-01, 5.714286e-01
1873, 8.571429e-01, 2.857143e-01, 5.714286e-01
1874, 9.285714e-01, 2.857143e-01, 5.714286e-01
1875, 1.000000e+00, 2.857143e-01, 5.714286e-01
1876, 0.000000e+00, 3.571429e-01, 5.714286e-01
1877, 7.142857e-02, 3.571429e-01, 5.714286e-01
1878, 1.428571e-01, 3.571429e-01, 5.714286e-01
1879, 2.142857e-01, 3.571429e-01, 5.714286e-01
1880, 2.857143e-01, 3.571429e-01, 5.714286e-01
1881, 3.571429e-01, 3.571429e-01, 5.714286e-01
1882, 4.285714e-01, 3.571429e-01, 5.714286e-01
1883, 5.000000e-01, 3.571429e-01, 5.714286e-01
1884, 5.714286e-01, 3.571429e-01, 5.714286e-01
1885, 6.428571e-01, 3.571429e-01, 5.714286e-01
1886, 7.142857e-01, 3.571429e-01, 5.714286e-01
1887, 7.857143e-01, 3.571429e-01, 5.714286e-01
1888, 8.571429e-01, 3.571429e-01, 5.714286e-01
1889, 9.285714e-01, 3.571429e-01, 5.714286e-01
1890, 1.000000e+00, 3.571429e-01, 5.714286e-01
1891, 0.000000e+00, 4.285714e-01, 5.714286e-01
1892, 7.142857e-02, 4.285714e-01, 5.714286e-01
1893, 1.428571e-01, 4.285714e-01, 5.714286e-01
1894, 2.142857e-01, 4.285714e-01, 5.714286e-01
1895, 2.857143e-01, 4.285714e-01, 5.714286e-01
1896, 3.571429e-01, 4.285714e-01, 5.714286e-01
1897, 4.285714e-01, 4.285714e-01, 5.714286e-01
1898, 5.000000e-01, 4.285714e-01, 5.714286e-01
1899, 5.714286e-01, 4.285714e-01, 5.714286e-01
1900, 6.428571e-01, 4.285714e-01, 5.714286e-01
1901, 7.142857e-01, 4.285714e-01, 5.714286e-01
1902, 7.857143e-01, 4.285714e-01, 5.714286e-01
1903, 8.571429e-01, 4.285714e-01, 5.714286e-01
1904, 9.285714e-01, 4.285714e-01, 5.714286e-01
1905, 1.000000e+00, 4.285714e-01, 5.714286e-01
1906, 0.000000e+00, 5.000000e-01, 5.714286e-01
1907, 7.142857e-02, 5.000000e-01, 5.714286e-01
1908, 1.428571e-01, 5.000000e-01, 5.714286e-01
1909, 2.142857e-01, 5.000000e-01, 5.714286e-01
1910, 2.857143e-01, 5.000000e-01, 5.714286e-01
1911, 3.571429e-01, 5.000000e-01, 5.714286e-01
1912, 4.285714e-01, 5.000000e-01, 5.714286e-01
1913, 5.000000e-01, 5.000000e-01, 5.714286e-01
1914, 5.714286e-01, 5.000000e-01, 5.714286e-01
1915, 6.428571e-01, 5.000000e-01, 5.714286e-01
1916, 7.142857e-01, 5.000000e-01, 5.714286e-01
1917, 7.857143e-01, 5.000000e-01, 5.714286e-01
1918, 8.571429e-01, 5.000000e-01, 5.714286e-01
1919, 9.285714e-01, 5.000000e-01, 5.714286e-01
1920, 1.000000e+00, 5.000000e-01, 5.714286e-01
1921, 0.000000e+00, 5.714286e-01, 5.714286e-01
1922, 7.142857e-02, 5.714286e-01, 5.714286e-01
1923, 1.428571e-01, 5.714286e-01, 5.714286e-01
1924, 2.142857e-01, 5.714286e-01, 5.714286e-01
1925, 2.857143e-01, 5.714286e-01, 5.714286e-01
1926, 3.571429e-01, 5.714286e-01, 5.714286e-01
1927, 4.285714e-01, 5.714286e-01, 5.714286e-01
1928, 5.000000e-01, 5.714286e-01, 5.714286e-01
1929, 5.714286e-01, 5.714286e-01, 5.714286e-01
1930, 6.428571e-01, 5.714286e-01, 5.714286e-01
1931, 7.142857e-01, 5.714286e-01, 5.714286e-01
1932, 7.857143e-01, 5.714286e-01, 5.714286e-01
1933, 8.571429e-01, 5.714286e-01, 5.714286e-01
1934, 9.285714e-01, 5.714286e-01, 5.714286e-01
1935, 1.000000e+00, 5.714286e-01, 5.714286e-01
1936, 0.000000e+00, 6.428571e-01, 5.714286e-01
1937, 7.142857e-02, 6.428571e-01, 5.714286e-01
1938, 1.428571e-01, 6.428571e-01, 5.714286e-01
1939, 2.142857e-01, 6.428571e-01, 5.714286e-01
1940, 2.857143e-01, 6.428571e-01, 5.714286e-01
1941, 3.571429e-01, 6.428571e-01, 5.714286e-01
1942, 4.285714e-01, 6.428571e-01, 5.714286e-01
1943, 5.000000e-01, 6.428571e-01, 5.714286e-01
1944, 5.714286e-01, 6.428571e-01, 5.714286e-01
1945, 6.428571e-01, 6.428571e-01, 5.714286e-01
1946, 7.142857e-01, 6.428571e-01, 5.714286e-01
1947, 7.857143e-01, 6.428571e-01, 5.714286e-01
1948, 8.571429e-01, 6.428571e-01, 5.714286e-01
1949, 9.285714e-01, 6.428571e-01, 5.714286e-01
1950, 1.000000e+00, 6.428571e-01, 5.714286e-01
1951, 0.000000e+00, 7.142857e-01, 5.714286e-01
1952, 7.142857e-02, 7.142857e-01, 5.714286e-01
1953, 1.428571e-01, 7.142857e-01, 5.714286e-01
1954, 2.142857e-01, 7.142857e-01, 5.714286e-01
1955, 2.857143e-01, 7.142857e-01, 5.714286e-01
1956, 3.571429e-01, 7.142857e-01, 5.714286e-01
1957, 4.285714e-01, 7.142857e-01, 5.714286e-01
1958, 5.000000e-01, 7.142857e-01, 5.714286e-01
1959, 5.714286e-01, 7.142857e-01, 5.714286e-01
1960, 6.428571e-01, 7.142857e-01, 5.714286e-01
1961, 7.142857e-01, 7.142857e-01, 5.714286e-01
1962, 7.857143e-01, 7.142857e-01, 5.714286e-01
1963, 8.571429e-01, 7.142857e-01, 5.714286e-01
1964, 9.285714e-01, 7.142857e-01, 5.714286e-01
1965, 1.000000e+00, 7.142857e-01, 5.714286e-01
1966, 0.000000e+00, 7.857143e-01, 5.714286e-01
1967, 7.142857e-02, 7.857143e-01, 5.714286e-01
1968, 1.428571e-01, 7.857143e-01, 5.714286e-01
1969, 2.142857e-01, 7.857143e-01, 5.714286e-01
1970, 2.857143e-01, 7.857143e-01, 5.714286e-01
1971, 3.571429e-01, 7.857143e-01, 5.714286e-01
1972, 4.285714e-01, 7.857143e-01, 5.714286e-01
1973, 5.000000e-01, 7.857143e-01, 5.714286e-01
1974, 5.714286e-01, 7.857143e-01, 5.714286e-01
1975, 6.428571e-01, 7.857143e-01, 5.714286e-01
1976, 7.142857e-01, 7.857143e-01, 5.714286e-01
1977, 7.857143e-01, 7.857143e-01, 5.714286e-01
1978, 8.571429e-01, 7.857143e-01, 5.714286e-01
1979, 9.285714e-01, 7.857143e-01, 5.714286e-01
1980, 1.000000e+00, 7.857143e-01, 5.714286e-01
1981, 0.000000e+00, 8.571429e-01, 5.714286e-01
1982, 7.142857e-02, 8.571429e-01, 5.714286e-01
1983, 1.428571e-01, 8.571429e-01, 5.714286e-01
1984, 2.142857e-01, 8.571429e-01, 5.714286e-01
1985, 2.857143e-01, 8.571429e-01, 5.714286e-01
1986, 3.571429e-01, 8.571429e-01, 5.714286e-01
1987, 4.285714e-01, 8.571429e-01, 5.714286e-01
1988, 5.000000e-01, 8.571429e-01, 5.714286e-01
1989, 5.714286e-01, 8.571429e-01, 5.714286e-01
1990, 6.428571e-01, 8.571429e-01, 5.714286e-01
1991, 7.142857e-01, 8.571429e-01, 5.714286e-01
1992, 7.857143e-01, 8.571429e-01, 5.714286e-01
1993, 8.571429e-01, 8.571429e-01, 5.714286e-01
1994, 9.285714e-01, 8.571429e-01, 5.714286e-01
1995, 1.000000e+00, 8.571429e-01, 5.714286e-01
1996, 0.000000e+00, 9.285714e-01, 5.714286e-01
1997, 7.142857e-02, 9.285714e-01, 5.714286e-01
1998, 1.428571e-01, 9.285714e-01, 5.714286e-01
1999, 2.142857e-01, 9.285714e-01, 5.714286e-01
2000, 2.857143e-01, 9.285714e-01, 5.714286e-01
2001, 3.571429e-01, 9.285714e-01, 5.714286e-01
2002, 4.285714e-01, 9.285714e-01, 5.714286e-01
2003, 5.000000e-01, 9.285714e-01, 5.714286e-01
2004, 5.714286e-01, 9.285714e-01, 5.714286e-01
2005, 6.428571e-01, 9.285714e-01, 5.714286e-01
2006, 7.142857e-01, 9.285714e-01, 5.714286e-01
2007, 7.857143e-01, 9.285714e-01, 5.714286e-01
2008, 8.571429e-01, 9.285714e-01, 5.714286e-01
2009, 9.285714e-01, 9.285714e-01, 5.714286e-01
2010, 1.000000e+00, 9.285714e-01, 5.714286e-01
2011, 0.000000e+00, 1.000000e+00, 5.714286e-01
2012, 7.142857e-02, 1.000000e+00, 5.714286e-01
2013, 1.428571e-01, 1.000000e+00, 5.714286e-01
2014, 2.142857e-01, 1.000000e+00, 5.714286e-01
2015, 2.857143e-01, 1.000000e+00, 5.714286e-01
2016, 3.571429e-01, 1.000000e+00, 5.714286e-01
2017, 4.285714e-01, 1.000000e+00, 5.714286e-01
2018, 5.000000e-01, 1.000000e+00, 5.714286e-01
2019, 5.714286e-01, 1.000000e+00, 5.714286e-01
2020, 6.428571e-01, 1.000000e+00, 5.714286e-01
2021, 7.142857e-01, 1.000000e+00, 5.714286e-01
2022, 7.857143e-01, 1.000000e+00, 5.714286e-01
2023, 8.571429e-01, 1.000000e+00, 5.714286e-01
2024, 9.285714e-01, 1.000000e+00, 5.714286e-01
2025, 1.000000e+00, 1.000000e+00, 5.714286e-01
2026, 0.000000e+00, 0.000000e+00, 6.428571e-01
2027, 7.142857e-02, 0.000000e+00, 6.428571e-01
2028, 1.428571e-01, 0.000000e+00, 6.428571e-01
2029, 2.142857e-01, 0.000000e+00, 6.428571e-01
2030, 2.857143e-01, 0.000000e+00, 6.428571e-01
2031, 3.571429e-01, 0.000000e+00, 6.428571e-01
2032, 4.285714e-01, 0.000000e+00, 6.428571e-01
2033, 5.000000e-01, 0.000000e+00, 6.428571e-01
2034, 5.714286e-01, 0.000000e+00, 6.428571e-01
2035, 6.428571e-01, 0.000000e+00, 6.428571e-01
2036, 7.142857e-01, 0.000000e+00, 6.428571e-01
2037, 7.857143e-01, 0.000000e+00, 6.428571e-01
2038, 8.571429e-01, 0.000000e+00, 6.428571e-01
2039, 9.285714e-01, 0.000000e+00, 6.428571e-01
2040, 1.000000e+00, 0.000000e+00, 6.428571e-01
2041, 0.000000e+00, 7.142857e-02, 6.428571e-01
2042, 7.142857e-02, 7.142857e-02, 6.428571e-01
2043, 1.428571e-01, 7.142857e-02, 6.428571e-01
2044, 2.142857e-01, 7.142857e-02, 6.428571e-01
2045, 2.857143e-01, 7.142857e-02, 6.428571e-01
2046, 3.571429e-01, 7.142857e-02, 6.428571e-01
2047, 4.285714e-01, 7.142857e-02, 6.428571e-01
2048, 5.000000e-01, 7.142857e-02, 6.428571e-01
2049, 5.714286e-01, 7.142857e-02, 6.428571e-01
2050, 6.428571e-01, 7.142857e-02, 6.428571e-01
2051, 7.142857e-01, 7.142857e-02, 6.428571e-01
2052, 7.857143e-01, 7.142857e-02, 6.428571e-01
2053, 8.571429e-01, 7.142857e-02, 6.428571e-01
2054, 9.285714e-01, 7.142857e-02, 6.428571e-01
2055, 1.000000e+00, 7.142857e-02, 6.428571e-01
2056, 0.000000e+00, 1.428571e-01, 6.428571e-01
2057, 7.142857e-02, 1.428571e-01, 6.428571e-01
2058, 1.428571e-01, 1.428571e-01, 6.428571e-01
2059, 2.142857e-01, 1.428571e-01, 6.428571e-01
2060, 2.857143e-01, 1.428571e-01, 6.428571e-01
2061, 3.571429e-01, 1.428571e-01, 6.428571e-01
2062, 4.285714e-01, 1.428571e-01, 6.428571e-01
2063, 5.000000e-01, 1.428571e-01, 6.428571e-01
2064, 5.714286e-01, 1.428571e-01, 6.428571e-01
2065, 6.428571e-01, 1.428571e-01, 6.428571e-01
2066, 7.142857e-01, 1.428571e-01, 6.428571e-01
2067, 7.857143e-01, 1.428571e-01, 6.428571e-01
2068, 8.571429e-01, 1.428571e-01, 6.428571e-01
2069, 9.285714e-01, 1.428571e-01, 6.428571e-01
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2083, 8.571429e-01, 2.142857e-01, 6.428571e-01
2084, 9.285714e-01, 2.142857e-01, 6.428571e-01
2085, 1.000000e+00, 2.142857e-01, 6.428571e-01
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2088, 1.428571e-01, 2.857143e-01, 6.428571e-01
2089, 2.142857e-01, 2.857143e-01, 6.428571e-01
2090, 2.857143e-01, 2.857143e-01, 6.428571e-01
2091, 3.571429e-01, 2.857143e-01, 6.428571e-01
2092, 4.285714e-01, 2.857143e-01, 6.428571e-01
2093, 5.000000e-01, 2.857143e-01, 6.428571e-01
2094, 5.714286e-01, 2.857143e-01, 6.428571e-01
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2097, 7.857143e-01, 2.857143e-01, 6.428571e-01
2098, 8.571429e-01, 2.857143e-01, 6.428571e-01
2099, 9.285714e-01, 2.857143e-01, 6.428571e-01
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2101, 0.000000e+00, 3.571429e-01, 6.428571e-01
2102, 7.142857e-02, 3.571429e-01, 6.428571e-01
2103, 1.428571e-01, 3.571429e-01, 6.428571e-01
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2105, 2.857143e-01, 3.571429e-01, 6.428571e-01
2106, 3.571429e-01, 3.571429e-01, 6.428571e-01
2107, 4.285714e-01, 3.571429e-01, 6.428571e-01
2108, 5.000000e-01, 3.571429e-01, 6.428571e-01
2109, 5.714286e-01, 3.571429e-01, 6.428571e-01
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2111, 7.142857e-01, 3.571429e-01, 6.428571e-01
2112, 7.857143e-01, 3.571429e-01, 6.428571e-01
2113, 8.571429e-01, 3.571429e-01, 6.428571e-01
2114, 9.285714e-01, 3.571429e-01, 6.428571e-01
2115, 1.000000e+00, 3.571429e-01, 6.428571e-01
2116, 0.000000e+00, 4.285714e-01, 6.428571e-01
2117, 7.142857e-02, 4.285714e-01, 6.428571e-01
2118, 1.428571e-01, 4.285714e-01, 6.428571e-01
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2121, 3.571429e-01, 4.285714e-01, 6.428571e-01
2122, 4.285714e-01, 4.285714e-01, 6.428571e-01
2123, 5.000000e-01, 4.285714e-01, 6.428571e-01
2124, 5.714286e-01, 4.285714e-01, 6.428571e-01
2125, 6.428571e-01, 4.285714e-01, 6.428571e-01
2126, 7.142857e-01, 4.285714e-01, 6.428571e-01
2127, 7.857143e-01, 4.285714e-01, 6.428571e-01
2128, 8.571429e-01, 4.285714e-01, 6.428571e-01
2129, 9.285714e-01, 4.285714e-01, 6.428571e-01
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2131, 0.000000e+00, 5.000000e-01, 6.428571e-01
2132, 7.142857e-02, 5.000000e-01, 6.428571e-01
2133, 1.428571e-01, 5.000000e-01, 6.428571e-01
2134, 2.142857e-01, 5.000000e-01, 6.428571e-01
2135, 2.857143e-01, 5.000000e-01, 6.428571e-01
2136, 3.571429e-01, 5.000000e-01, 6.428571e-01
2137, 4.285714e-01, 5.000000e-01, 6.428571e-01
2138, 5.000000e-01, 5.000000e-01, 6.428571e-01
2139, 5.714286e-01, 5.000000e-01, 6.428571e-01
2140, 6.428571e-01, 5.000000e-01, 6.428571e-01
2141, 7.142857e-01, 5.000000e-01, 6.428571e-01
2142, 7.857143e-01, 5.000000e-01, 6.428571e-01
2143, 8.571429e-01, 5.000000e-01, 6.428571e-01
2144, 9.285714e-01, 5.000000e-01, 6.428571e-01
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2148, 1.428571e-01, 5.714286e-01, 6.428571e-01
2149, 2.142857e-01, 5.714286e-01, 6.428571e-01
2150, 2.857143e-01, 5.714286e-01, 6.428571e-01
2151, 3.571429e-01, 5.714286e-01, 6.428571e-01
2152, 4.285714e-01, 5.714286e-01, 6.428571e-01
2153, 5.000000e-01, 5.714286e-01, 6.428571e-01
2154, 5.714286e-01, 5.714286e-01, 6.428571e-01
2155, 6.428571e-01, 5.714286e-01, 6.428571e-01
2156, 7.142857e-01, 5.714286e-01, 6.428571e-01
2157, 7.857143e-01, 5.714286e-01, 6.428571e-01
2158, 8.571429e-01, 5.714286e-01, 6.428571e-01
2159, 9.285714e-01, 5.714286e-01, 6.428571e-01
2160, 1.000000e+00, 5.714286e-01, 6.428571e-01
2161, 0.000000e+00, 6.428571e-01, 6.428571e-01
2162, 7.142857e-02, 6.428571e-01, 6.428571e-01
2163, 1.428571e-01, 6.428571e-01, 6.428571e-01
2164, 2.142857e-01, 6.428571e-01, 6.428571e-01
2165, 2.857143e-01, 6.428571e-01, 6.428571e-01
2166, 3.571429e-01, 6.428571e-01, 6.428571e-01
2167, 4.285714e-01, 6.428571e-01, 6.428571e-01
2168, 5.000000e-01, 6.428571e-01, 6.428571e-01
2169, 5.714286e-01, 6.428571e-01, 6.428571e-01
2170, 6.428571e-01, 6.428571e-01, 6.428571e-01
2171, 7.142857e-01, 6.428571e-01, 6.428571e-01
2172, 7.857143e-01, 6.428571e-01, 6.428571e-01
2173, 8.571429e-01, 6.428571e-01, 6.428571e-01
2174, 9.285714e-01, 6.428571e-01, 6.428571e-01
2175, 1.000000e+00, 6.428571e-01, 6.428571e-01
2176, 0.000000e+00, 7.142857e-01, 6.428571e-01
2177, 7.142857e-02, 7.142857e-01, 6.428571e-01
2178, 1.428571e-01, 7.142857e-01, 6.428571e-01
2179, 2.142857e-01, 7.142857e-01, 6.428571e-01
2180, 2.857143e-01, 7.142857e-01, 6.428571e-01
2181, 3.571429e-01, 7.142857e-01, 6.428571e-01
2182, 4.285714e-01, 7.142857e-01, 6.428571e-01
2183, 5.000000e-01, 7.142857e-01, 6.428571e-01
2184, 5.714286e-01, 7.142857e-01, 6.428571e-01
2185, 6.428571e-01, 7.142857e-01, 6.428571e-01
2186, 7.142857e-01, 7.142857e-01, 6.428571e-01
2187, 7.857143e-01, 7.142857e-01, 6.428571e-01
2188, 8.571429e-01, 7.142857e-01, 6.428571e-01
2189, 9.285714e-01, 7.142857e-01, 6.428571e-01
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2191, 0.000000e+00, 7.857143e-01, 6.428571e-01
2192, 7.142857e-02, 7.857143e-01, 6.428571e-01
2193, 1.428571e-01, 7.857143e-01, 6.428571e-01
2194, 2.142857e-01, 7.857143e-01, 6.428571e-01
2195, 2.857143e-01, 7.857143e-01, 6.428571e-01
2196, 3.571429e-01, 7.857143e-01, 6.428571e-01
2197, 4.285714e-01, 7.857143e-01, 6.428571e-01
2198, 5.000000e-01, 7.857143e-01, 6.428571e-01
2199, 5.714286e-01, 7.857143e-01, 6.428571e-01
2200, 6.428571e-01, 7.857143e-01, 6.428571e-01
2201, 7.142857e-01, 7.857143e-01, 6.428571e-01
2202, 7.857143e-01, 7.857143e-01, 6.428571e-01
2203, 8.571429e-01, 7.857143e-01, 6.428571e-01
2204, 9.285714e-01, 7.857143e-01, 6.428571e-01
2205, 1.000000e+00, 7.857143e-01, 6.428571e-01
2206, 0.000000e+00, 8.571429e-01, 6.428571e-01
2207, 7.142857e-02, 8.571429e-01, 6.428571e-01
2208, 1.428571e-01, 8.571429e-01, 6.428571e-01
2209, 2.142857e-01, 8.571429e-01, 6.428571e-01
2210, 2.857143e-01, 8.571429e-01, 6.428571e-01
2211, 3.571429e-01, 8.571429e-01, 6.428571e-01
2212, 4.285714e-01, 8.571429e-01, 6.428571e-01
2213, 5.000000e-01, 8.571429e-01, 6.428571e-01
2214, 5.714286e-01, 8.571429e-01, 6.428571e-01
2215, 6.428571e-01, 8.571429e-01, 6.428571e-01
2216, 7.142857e-01, 8.571429e-01, 6.428571e-01
2217, 7.857143e-01, 8.571429e-01, 6.428571e-01
2218, 8.571429e-01, 8.571429e-01, 6.428571e-01
2219, 9.285714e-01, 8.571429e-01, 6.428571e-01
2220, 1.000000e+00, 8.571429e-01, 6.428571e-01
2221, 0.000000e+00, 9.285714e-01, 6.428571e-01
2222, 7.142857e-02, 9.285714e-01, 6.428571e-01
2223, 1.428571e-01, 9.285714e-01, 6.428571e-01
2224, 2.142857e-01, 9.285714e-01, 6.428571e-01
2225, 2.857143e-01, 9.285714e-01, 6.428571e-01
2226, 3.571429e-01, 9.285714e-01, 6.428571e-01
2227, 4.285714e-01, 9.285714e-01, 6.428571e-01
2228, 5.000000e-01, 9.285714e-01, 6.428571e-01
2229, 5.714286e-01, 9.285714e-01, 6.428571e-01
2230, 6.428571e-01, 9.285714e-01, 6.428571e-01
2231, 7.142857e-01, 9.285714e-01, 6.428571e-01
2232, 7.857143e-01, 9.285714e-01, 6.428571e-01
2233, 8.571429e-01, 9.285714e-01, 6.428571e-01
2234, 9.285714e-01, 9.285714e-01, 6.428571e-01
2235, 1.000000e+00, 9.285714e-01, 6.428571e-01
2236, 0.000000e+00, 1.000000e+00, 6.428571e-01
2237, 7.142857e-02, 1.000000e+00, 6.428571e-01
2238, 1.428571e-01, 1.000000e+00, 6.428571e-01
2239, 2.142857e-01, 1.000000e+00, 6.428571e-01
2240, 2.857143e-01, 1.000000e+00, 6.428571e-01
2241, 3.571429e-01, 1.000000e+00, 6.428571e-01
2242, 4.285714e-01, 1.000000e+00, 6.428571e-01
2243, 5.000000e-01, 1.000000e+00, 6.428571e-01
2244, 5.714286e-01, 1.000000e+00, 6.428571e-01
2245, 6.428571e-01, 1.000000e+00, 6.428571e-01
2246, 7.142857e-01, 1.000000e+00, 6.428571e-01
2247, 7.857143e-01, 1.000000e+00, 6.428571e-01
2248, 8.571429e-01, 1.000000e+00, 6.428571e-01
2249, 9.285714e-01, 1.000000e+00, 6.428571e-01
2250, 1.000000e+00, 1.000000e+00, 6.428571e-01
2251, 0.000000e+00, 0.000000e+00, 7.142857e-01
2252, 7.142857e-02, 0.000000e+00, 7.142857e-01
2253, 1.428571e-01, 0.000000e+00, 7.142857e-01
2254, 2.142857e-01, 0.000000e+00, 7.142857e-01
2255, 2.857143e-01, 0.000000e+00, 7.142857e-01
2256, 3.571429e-01, 0.000000e+00, 7.142857e-01
2257, 4.285714e-01, 0.000000e+00, 7.142857e-01
2258, 5.000000e-01, 0.000000e+00, 7.142857e-01
2259, 5.714286e-01, 0.000000e+00, 7.142857e-01
2260, 6.428571e-01, 0.000000e+00, 7.142857e-01
2261, 7.142857e-01, 0.000000e+00, 7.142857e-01
2262, 7.857143e-01, 0.000000e+00, 7.142857e-01
2263, 8.571429e-01, 0.000000e+00, 7.142857e-01
2264, 9.285714e-01, 0.000000e+00, 7.142857e-01
2265, 1.000000e+00, 0.000000e+00, 7.142857e-01
2266, 0.000000e+00, 7.142857e-02, 7.142857e-01
2267, 7.142857e-02, 7.142857e-02, 7.142857e-01
2268, 1.428571e-01, 7.142857e-02, 7.142857e-01
2269, 2.142857e-01, 7.142857e-02, 7.142857e-01
2270, 2.857143e-01, 7.142857e-02, 7.142857e-01
2271, 3.571429e-01, 7.142857e-02, 7.142857e-01
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2273, 5.000000e-01, 7.142857e-02, 7.142857e-01
2274, 5.714286e-01, 7.142857e-02, 7.142857e-01
2275, 6.428571e-01, 7.142857e-02, 7.142857e-01
2276, 7.142857e-01, 7.142857e-02, 7.142857e-01
2277, 7.857143e-01, 7.142857e-02, 7.142857e-01
2278, 8.571429e-01, 7.142857e-02, 7.142857e-01
2279, 9.285714e-01, 7.142857e-02, 7.142857e-01
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2283, 1.428571e-01, 1.428571e-01, 7.142857e-01
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2285, 2.857143e-01, 1.428571e-01, 7.142857e-01
2286, 3.571429e-01, 1.428571e-01, 7.142857e-01
2287, 4.285714e-01, 1.428571e-01, 7.142857e-01
2288, 5.000000e-01, 1.428571e-01, 7.142857e-01
2289, 5.714286e-01, 1.428571e-01, 7.142857e-01
2290, 6.428571e-01, 1.428571e-01, 7.142857e-01
2291, 7.142857e-01, 1.428571e-01, 7.142857e-01
2292, 7.857143e-01, 1.428571e-01, 7.142857e-01
2293, 8.571429e-01, 1.428571e-01, 7.142857e-01
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2295, 1.000000e+00, 1.428571e-01, 7.142857e-01
2296, 0.000000e+00, 2.142857e-01, 7.142857e-01
2297, 7.142857e-02, 2.142857e-01, 7.142857e-01
2298, 1.428571e-01, 2.142857e-01, 7.142857e-01
2299, 2.142857e-01, 2.142857e-01, 7.142857e-01
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2301, 3.571429e-01, 2.142857e-01, 7.142857e-01
2302, 4.285714e-01, 2.142857e-01, 7.142857e-01
2303, 5.000000e-01, 2.142857e-01, 7.142857e-01
2304, 5.714286e-01, 2.142857e-01, 7.142857e-01
2305, 6.428571e-01, 2.142857e-01, 7.142857e-01
2306, 7.142857e-01, 2.142857e-01, 7.142857e-01
2307, 7.857143e-01, 2.142857e-01, 7.142857e-01
2308, 8.571429e-01, 2.142857e-01, 7.142857e-01
2309, 9.285714e-01, 2.142857e-01, 7.142857e-01
2310, 1.000000e+00, 2.142857e-01, 7.142857e-01
2311, 0.000000e+00, 2.857143e-01, 7.142857e-01
2312, 7.142857e-02, 2.857143e-01, 7.142857e-01
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2314, 2.142857e-01, 2.857143e-01, 7.142857e-01
2315, 2.857143e-01, 2.857143e-01, 7.142857e-01
2316, 3.571429e-01, 2.857143e-01, 7.142857e-01
2317, 4.285714e-01, 2.857143e-01, 7.142857e-01
2318, 5.000000e-01, 2.857143e-01, 7.142857e-01
2319, 5.714286e-01, 2.857143e-01, 7.142857e-01
2320, 6.428571e-01, 2.857143e-01, 7.142857e-01
2321, 7.142857e-01, 2.857143e-01, 7.142857e-01
2322, 7.857143e-01, 2.857143e-01, 7.142857e-01
2323, 8.571429e-01, 2.857143e-01, 7.142857e-01
2324, 9.285714e-01, 2.857143e-01, 7.142857e-01
2325, 1.000000e+00, 2.857143e-01, 7.142857e-01
2326, 0.000000e+00, 3.571429e-01, 7.142857e-01
2327, 7.142857e-02, 3.571429e-01, 7.142857e-01
2328, 1.428571e-01, 3.571429e-01, 7.142857e-01
2329, 2.142857e-01, 3.571429e-01, 7.142857e-01
2330, 2.857143e-01, 3.571429e-01, 7.142857e-01
2331, 3.571429e-01, 3.571429e-01, 7.142857e-01
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2334, 5.714286e-01, 3.571429e-01, 7.142857e-01
2335, 6.428571e-01, 3.571429e-01, 7.142857e-01
2336, 7.142857e-01, 3.571429e-01, 7.142857e-01
2337, 7.857143e-01, 3.571429e-01, 7.142857e-01
2338, 8.571429e-01, 3.571429e-01, 7.142857e-01
2339, 9.285714e-01, 3.571429e-01, 7.142857e-01
2340, 1.000000e+00, 3.571429e-01, 7.142857e-01
2341, 0.000000e+00, 4.285714e-01, 7.142857e-01
2342, 7.142857e-02, 4.285714e-01, 7.142857e-01
2343, 1.428571e-01, 4.285714e-01, 7.142857e-01
2344, 2.142857e-01, 4.285714e-01, 7.142857e-01
2345, 2.857143e-01, 4.285714e-01, 7.142857e-01
2346, 3.571429e-01, 4.285714e-01, 7.142857e-01
2347, 4.285714e-01, 4.285714e-01, 7.142857e-01
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2503, 8.571429e-01, 7.142857e-02, 7.857143e-01
2504, 9.285714e-01, 7.142857e-02, 7.857143e-01
2505, 1.000000e+00, 7.142857e-02, 7.857143e-01
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2509, 2.142857e-01, 1.428571e-01, 7.857143e-01
2510, 2.857143e-01, 1.428571e-01, 7.857143e-01
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2514, 5.714286e-01, 1.428571e-01, 7.857143e-01
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2517, 7.857143e-01, 1.428571e-01, 7.857143e-01
2518, 8.571429e-01, 1.428571e-01, 7.857143e-01
2519, 9.285714e-01, 1.428571e-01, 7.857143e-01
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2522, 7.142857e-02, 2.142857e-01, 7.857143e-01
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2524, 2.142857e-01, 2.142857e-01, 7.857143e-01
2525, 2.857143e-01, 2.142857e-01, 7.857143e-01
2526, 3.571429e-01, 2.142857e-01, 7.857143e-01
2527, 4.285714e-01, 2.142857e-01, 7.857143e-01
2528, 5.000000e-01, 2.142857e-01, 7.857143e-01
2529, 5.714286e-01, 2.142857e-01, 7.857143e-01
2530, 6.428571e-01, 2.142857e-01, 7.857143e-01
2531, 7.142857e-01, 2.142857e-01, 7.857143e-01
2532, 7.857143e-01, 2.142857e-01, 7.857143e-01
2533, 8.571429e-01, 2.142857e-01, 7.857143e-01
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2538, 1.428571e-01, 2.857143e-01, 7.857143e-01
2539, 2.142857e-01, 2.857143e-01, 7.857143e-01
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2542, 4.285714e-01, 2.857143e-01, 7.857143e-01
2543, 5.000000e-01, 2.857143e-01, 7.857143e-01
2544, 5.714286e-01, 2.857143e-01, 7.857143e-01
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2547, 7.857143e-01, 2.857143e-01, 7.857143e-01
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2549, 9.285714e-01, 2.857143e-01, 7.857143e-01
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2556, 3.571429e-01, 3.571429e-01, 7.857143e-01
2557, 4.285714e-01, 3.571429e-01, 7.857143e-01
2558, 5.000000e-01, 3.571429e-01, 7.857143e-01
2559, 5.714286e-01, 3.571429e-01, 7.857143e-01
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2561, 7.142857e-01, 3.571429e-01, 7.857143e-01
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2563, 8.571429e-01, 3.571429e-01, 7.857143e-01
2564, 9.285714e-01, 3.571429e-01, 7.857143e-01
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2571, 3.571429e-01, 4.285714e-01, 7.857143e-01
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2578, 8.571429e-01, 4.285714e-01, 7.857143e-01
2579, 9.285714e-01, 4.285714e-01, 7.857143e-01
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2588, 5.000000e-01, 5.000000e-01, 7.857143e-01
2589, 5.714286e-01, 5.000000e-01, 7.857143e-01
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2602, 4.285714e-01, 5.714286e-01, 7.857143e-01
2603, 5.000000e-01, 5.714286e-01, 7.857143e-01
2604, 5.714286e-01, 5.714286e-01, 7.857143e-01
2605, 6.428571e-01, 5.714286e-01, 7.857143e-01
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2607, 7.857143e-01, 5.714286e-01, 7.857143e-01
2608, 8.571429e-01, 5.714286e-01, 7.857143e-01
2609, 9.285714e-01, 5.714286e-01, 7.857143e-01
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2630, 2.857143e-01, 7.142857e-01, 7.857143e-01
2631, 3.571429e-01, 7.142857e-01, 7.857143e-01
2632, 4.285714e-01, 7.142857e-01, 7.857143e-01
2633, 5.000000e-01, 7.142857e-01, 7.857143e-01
2634, 5.714286e-01, 7.142857e-01, 7.857143e-01
2635, 6.428571e-01, 7.142857e-01, 7.857143e-01
2636, 7.142857e-01, 7.142857e-01, 7.857143e-01
2637, 7.857143e-01, 7.142857e-01, 7.857143e-01
2638, 8.571429e-01, 7.142857e-01, 7.857143e-01
2639, 9.285714e-01, 7.142857e-01, 7.857143e-01
2640, 1.000000e+00, 7.142857e-01, 7.857143e-01
2641, 0.000000e+00, 7.857143e-01, 7.857143e-01
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2643, 1.428571e-01, 7.857143e-01, 7.857143e-01
2644, 2.142857e-01, 7.857143e-01, 7.857143e-01
2645, 2.857143e-01, 7.857143e-01, 7.857143e-01
2646, 3.571429e-01, 7.857143e-01, 7.857143e-01
2647, 4.285714e-01, 7.857143e-01, 7.857143e-01
2648, 5.000000e-01, 7.857143e-01, 7.857143e-01
2649, 5.714286e-01, 7.857143e-01, 7.857143e-01
2650, 6.428571e-01, 7.857143e-01, 7.857143e-01
2651, 7.142857e-01, 7.857143e-01, 7.857143e-01
2652, 7.857143e-01, 7.857143e-01, 7.857143e-01
2653, 8.571429e-01, 7.857143e-01, 7.857143e-01
2654, 9.285714e-01, 7.857143e-01, 7.857143e-01
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2656, 0.000000e+00, 8.571429e-01, 7.857143e-01
2657, 7.142857e-02, 8.571429e-01, 7.857143e-01
2658, 1.428571e-01, 8.571429e-01, 7.857143e-01
2659, 2.142857e-01, 8.571429e-01, 7.857143e-01
2660, 2.857143e-01, 8.571429e-01, 7.857143e-01
2661, 3.571429e-01, 8.571429e-01, 7.857143e-01
2662, 4.285714e-01, 8.571429e-01, 7.857143e-01
2663, 5.000000e-01, 8.571429e-01, 7.857143e-01
2664, 5.714286e-01, 8.571429e-01, 7.857143e-01
2665, 6.428571e-01, 8.571429e-01, 7.857143e-01
2666, 7.142857e-01, 8.571429e-01, 7.857143e-01
2667, 7.857143e-01, 8.571429e-01, 7.857143e-01
2668, 8.571429e-01, 8.571429e-01, 7.857143e-01
2669, 9.285714e-01, 8.571429e-01, 7.857143e-01
2670, 1.000000e+00, 8.571429e-01, 7.857143e-01
2671, 0.000000e+00, 9.285714e-01, 7.857143e-01
2672, 7.142857e-02, 9.285714e-01, 7.857143e-01
2673, 1.428571e-01, 9.285714e-01, 7.857143e-01
2674, 2.142857e-01, 9.285714e-01, 7.857143e-01
2675, 2.857143e-01, 9.285714e-01, 7.857143e-01
2676, 3.571429e-01, 9.285714e-01, 7.857143e-01
2677, 4.285714e-01, 9.285714e-01, 7.857143e-01
2678, 5.000000e-01, 9.285714e-01, 7.857143e-01
2679, 5.714286e-01, 9.285714e-01, 7.857143e-01
2680, 6.428571e-01, 9.285714e-01, 7.857143e-01
2681, 7.142857e-01, 9.285714e-01, 7.857143e-01
2682, 7.857143e-01, 9.285714e-01, 7.857143e-01
2683, 8.571429e-01, 9.285714e-01, 7.857143e-01
2684, 9.285714e-01, 9.285714e-01, 7.857143e-01
2685, 1.000000e+00, 9.285714e-01, 7.857143e-01
2686, 0.000000e+00, 1.000000e+00, 7.857143e-01
2687, 7.142857e-02, 1.000000e+00, 7.857143e-01
2688, 1.428571e-01, 1.000000e+00, 7.857143e-01
2689, 2.142857e-01, 1.000000e+00, 7.857143e-01
2690, 2.857143e-01, 1.000000e+00, 7.857143e-01
2691, 3.571429e-01, 1.000000e+00, 7.857143e-01
2692, 4.285714e-01, 1.000000e+00, 7.857143e-01
2693, 5.000000e-01, 1.000000e+00, 7.857143e-01
2694, 5.714286e-01, 1.000000e+00, 7.857143e-01
2695, 6.428571e-01, 1.000000e+00, 7.857143e-01
2696, 7.142857e-01, 1.000000e+00, 7.857143e-01
2697, 7.857143e-01, 1.000000e+00, 7.857143e-01
2698, 8.571429e-01, 1.000000e+00, 7.857143e-01
2699, 9.285714e-01, 1.000000e+00, 7.857143e-01
2700, 1.000000e+00, 1.000000e+00, 7.857143e-01
2701, 0.000000e+00, 0.000000e+00, 8.571429e-01
2702, 7.142857e-02, 0.000000e+00, 8.571429e-01
2703, 1.428571e-01, 0.000000e+00, 8.571429e-01
2704, 2.142857e-01, 0.000000e+00, 8.571429e-01
2705, 2.857143e-01, 0.000000e+00, 8.571429e-01
2706, 3.571429e-01, 0.000000e+00, 8.571429e-01
2707, 4.285714e-01, 0.000000e+00, 8.571429e-01
2708, 5.000000e-01, 0.000000e+00, 8.571429e-01
2709, 5.714286e-01, 0.000000e+00, 8.571429e-01
2710, 6.428571e-01, 0.000000e+00, 8.571429e-01
2711, 7.142857e-01, 0.000000e+00, 8.571429e-01
2712, 7.857143e-01, 0.000000e+00, 8.571429e-01
2713, 8.571429e-01, 0.000000e+00, 8.571429e-01
2714, 9.285714e-01, 0.000000e+00, 8.571429e-01
2715, 1.000000e+00, 0.000000e+00, 8.571429e-01
2716, 0.000000e+00, 7.142857e-02, 8.571429e-01
2717, 7.142857e-02, 7.142857e-02, 8.571429e-01
2718, 1.428571e-01, 7.142857e-02, 8.571429e-01
2719, 2.142857e-01, 7.142857e-02, 8.571429e-01
2720, 2.857143e-01, 7.142857e-02, 8.571429e-01
2721, 3.571429e-01, 7.142857e-02, 8.571429e-01
2722, 4.285714e-01, 7.142857e-02, 8.571429e-01
2723, 5.000000e-01, 7.142857e-02, 8.571429e-01
2724, 5.714286e-01, 7.142857e-02, 8.571429e-01
2725, 6.428571e-01, 7.142857e-02, 8.571429e-01
2726, 7.142857e-01, 7.142857e-02, 8.571429e-01
2727, 7.857143e-01, 7.142857e-02, 8.571429e-01
2728, 8.571429e-01, 7.142857e-02, 8.571429e-01
2729, 9.285714e-01, 7.142857e-02, 8.571429e-01
2730, 1.000000e+00, 7.142857e-02, 8.571429e-01
2731, 0.000000e+00, 1.428571e-01, 8.571429e-01
2732, 7.142857e-02, 1.428571e-01, 8.571429e-01
2733, 1.428571e-01, 1.428571e-01, 8.571429e-01
2734, 2.142857e-01, 1.428571e-01, 8.571429e-01
2735, 2.857143e-01, 1.428571e-01, 8.571429e-01
2736, 3.571429e-01, 1.428571e-01, 8.571429e-01
2737, 4.285714e-01, 1.428571e-01, 8.571429e-01
2738, 5.000000e-01, 1.428571e-01, 8.571429e-01
2739, 5.714286e-01, 1.428571e-01, 8.571429e-01
2740, 6.428571e-01, 1.428571e-01, 8.571429e-01
2741, 7.142857e-01, 1.428571e-01, 8.571429e-01
2742, 7.857143e-01, 1.428571e-01, 8.571429e-01
2743, 8.571429e-01, 1.428571e-01, 8.571429e-01
2744, 9.285714e-01, 1.428571e-01, 8.571429e-01
2745, 1.000000e+00, 1.428571e-01, 8.571429e-01
2746, 0.000000e+00, 2.142857e-01, 8.571429e-01
2747, 7.142857e-02, 2.142857e-01, 8.571429e-01
2748, 1.428571e-01, 2.142857e-01, 8.571429e-01
2749, 2.142857e-01, 2.142857e-01, 8.571429e-01
2750, 2.857143e-01, 2.142857e-01, 8.571429e-01
2751, 3.571429e-01, 2.142857e-01, 8.571429e-01
2752, 4.285714e-01, 2.142857e-01, 8.571429e-01
2753, 5.000000e-01, 2.142857e-01, 8.571429e-01
2754, 5.714286e-01, 2.142857e-01, 8.571429e-01
2755, 6.428571e-01, 2.142857e-01, 8.571429e-01
2756, 7.142857e-01, 2.142857e-01, 8.571429e-01
2757, 7.857143e-01, 2.142857e-01, 8.571429e-01
2758, 8.571429e-01, 2.142857e-01, 8.571429e-01
2759, 9.285714e-01, 2.142857e-01, 8.571429e-01
2760, 1.000000e+00, 2.142857e-01, 8.571429e-01
2761, 0.000000e+00, 2.857143e-01, 8.571429e-01
2762, 7.142857e-02, 2.857143e-01, 8.571429e-01
2763, 1.428571e-01, 2.857143e-01, 8.571429e-01
2764, 2.142857e-01, 2.857143e-01, 8.571429e-01
2765, 2.857143e-01, 2.857143e-01, 8.571429e-01
2766, 3.571429e-01, 2.857143e-01, 8.571429e-01
2767, 4.285714e-01, 2.857143e-01, 8.571429e-01
2768, 5.000000e-01, 2.857143e-01, 8.571429e-01
2769, 5.714286e-01, 2.857143e-01, 8.571429e-01
2770, 6.428571e-01, 2.857143e-01, 8.571429e-01
2771, 7.142857e-01, 2.857143e-01, 8.571429e-01
2772, 7.857143e-01, 2.857143e-01, 8.571429e-01
2773, 8.571429e-01, 2.857143e-01, 8.571429e-01
2774, 9.285714e-01, 2.857143e-01, 8.571429e-01
2775, 1.000000e+00, 2.857143e-01, 8.571429e-01
2776, 0.000000e+00, 3.571429e-01, 8.571429e-01
2777, 7.142857e-02, 3.571429e-01, 8.571429e-01
2778, 1.428571e-01, 3.571429e-01, 8.571429e-01
2779, 2.142857e-01, 3.571429e-01, 8.571429e-01
2780, 2.857143e-01, 3.571429e-01, 8.571429e-01
2781, 3.571429e-01, 3.571429e-01, 8.571429e-01
2782, 4.285714e-01, 3.571429e-01, 8.571429e-01
2783, 5.000000e-01, 3.571429e-01, 8.571429e-01
2784, 5.714286e-01, 3.571429e-01, 8.571429e-01
2785, 6.428571e-01, 3.571429e-01, 8.571429e-01
2786, 7.142857e-01, 3.571429e-01, 8.571429e-01
2787, 7.857143e-01, 3.571429e-01, 8.571429e-01
2788, 8.571429e-01, 3.571429e-01, 8.571429e-01
2789, 9.285714e-01, 3.571429e-01, 8.571429e-01
2790, 1.000000e+00, 3.571429e-01, 8.571429e-01
2791, 0.000000e+00, 4.285714e-01, 8.571429e-01
2792, 7.142857e-02, 4.285714e-01, 8.571429e-01
2793, 1.428571e-01, 4.285714e-01, 8.571429e-01
2794, 2.142857e-01, 4.285714e-01, 8.571429e-01
2795, 2.857143e-01, 4.285714e-01, 8.571429e-01
2796, 3.571429e-01, 4.285714e-01, 8.571429e-01
2797, 4.285714e-01, 4.285714e-01, 8.571429e-01
2798, 5.000000e-01, 4.285714e-01, 8.571429e-01
2799, 5.714286e-01, 4.285714e-01, 8.571429e-01
2800, 6.428571e-01, 4.285714e-01, 8.571429e-01
2801, 7.142857e-01, 4.285714e-01, 8.571429e-01
2802, 7.857143e-01, 4.285714e-01, 8.571429e-01
2803, 8.571429e-01, 4.285714e-01, 8.571429e-01
2804, 9.285714e-01, 4.285714e-01, 8.571429e-01
2805, 1.000000e+00, 4.285714e-01, 8.571429e-01
2806, 0.000000e+00, 5.000000e-01, 8.571429e-01
2807, 7.142857e-02, 5.000000e-01, 8.571429e-01
2808, 1.428571e-01, 5.000000e-01, 8.571429e-01
2809, 2.142857e-01, 5.000000e-01, 8.571429e-01
2810, 2.857143e-01, 5.000000e-01, 8.571429e-01
2811, 3.571429e-01, 5.000000e-01, 8.571429e-01
2812, 4.285714e-01, 5.000000e-01, 8.571429e-01
2813, 5.000000e-01, 5.000000e-01, 8.571429e-01
2814, 5.714286e-01, 5.000000e-01, 8.571429e-01
2815, 6.428571e-01, 5.000000e-01, 8.571429e-01
2816, 7.142857e-01, 5.000000e-01, 8.571429e-01
2817, 7.857143e-01, 5.000000e-01, 8.571429e-01
2818, 8.571429e-01, 5.000000e-01, 8.571429e-01
2819, 9.285714e-01, 5.000000e-01, 8.571429e-01
2820, 1.000000e+00, 5.000000e-01, 8.571429e-01
2821, 0.000000e+00, 5.714286e-01, 8.571429e-01
2822, 7.142857e-02, 5.714286e-01, 8.571429e-01
2823, 1.428571e-01, 5.714286e-01, 8.571429e-01
2824, 2.142857e-01, 5.714286e-01, 8.571429e-01
2825, 2.857143e-01, 5.714286e-01, 8.571429e-01
2826, 3.571429e-01, 5.714286e-01, 8.571429e-01
2827, 4.285714e-01, 5.714286e-01, 8.571429e-01
2828, 5.000000e-01, 5.714286e-01, 8.571429e-01
2829, 5.714286e-01, 5.714286e-01, 8.571429e-01
2830, 6.428571e-01, 5.714286e-01, 8.571429e-01
2831, 7.142857e-01, 5.714286e-01, 8.571429e-01
2832, 7.857143e-01, 5.714286e-01, 8.571429e-01
2833, 8.571429e-01, 5.714286e-01, 8.571429e-01
2834, 9.285714e-01, 5.714286e-01, 8.571429e-01
2835, 1.000000e+00, 5.714286e-01, 8.571429e-01
2836, 0.000000e+00, 6.428571e-01, 8.571429e-01
2837, 7.142857e-02, 6.428571e-01, 8.571429e-01
2838, 1.428571e-01, 6.428571e-01, 8.571429e-01
2839, 2.142857e-01, 6.428571e-01, 8.571429e-01
2840, 2.857143e-01, 6.428571e-01, 8.571429e-01
2841, 3.571429e-01, 6.428571e-01, 8.571429e-01
2842, 4.285714e-01, 6.428571e-01, 8.571429e-01
2843, 5.000000e-01, 6.428571e-01, 8.571429e-01
2844, 5.714286e-01, 6.428571e-01, 8.571429e-01
2845, 6.428571e-01, 6.428571e-01, 8.571429e-01
2846, 7.142857e-01, 6.428571e-01, 8.571429e-01
2847, 7.857143e-01, 6.428571e-01, 8.571429e-01
2848, 8.571429e-01, 6.428571e-01, 8.571429e-01
2849, 9.285714e-01, 6.428571e-01, 8.571429e-01
2850, 1.000000e+00, 6.428571e-01, 8.571429e-01
2851, 0.000000e+00, 7.142857e-01, 8.571429e-01
2852, 7.142857e-02, 7.142857e-01, 8.571429e-01
2853, 1.428571e-01, 7.142857e-01, 8.571429e-01
2854, 2.142857e-01, 7.142857e-01, 8.571429e-01
2855, 2.857143e-01, 7.142857e-01, 8.571429e-01
2856, 3.571429e-01, 7.142857e-01, 8.571429e-01
2857, 4.285714e-01, 7.142857e-01, 8.571429e-01
2858, 5.000000e-01, 7.142857e-01, 8.571429e-01
2859, 5.714286e-01, 7.142857e-01, 8.571429e-01
2860, 6.428571e-01, 7.142857e-01, 8.571429e-01
2861, 7.142857e-01, 7.142857e-01, 8.571429e-01
2862, 7.857143e-01, 7.142857e-01, 8.571429e-01
2863, 8.571429e-01, 7.142857e-01, 8.571429e-01
2864, 9.285714e-01, 7.142857e-01, 8.571429e-01
2865, 1.000000e+00, 7.142857e-01, 8.571429e-01
2866, 0.000000e+00, 7.857143e-01, 8.571429e-01
2867, 7.142857e-02, 7.857143e-01, 8.571429e-01
2868, 1.428571e-01, 7.857143e-01, 8.571429e-01
2869, 2.142857e-01, 7.857143e-01, 8.571429e-01
2870, 2.857143e-01, 7.857143e-01, 8.571429e-01
2871, 3.571429e-01, 7.857143e-01, 8.571429e-01
2872, 4.285714e-01, 7.857143e-01, 8.571429e-01
2873, 5.000000e-01, 7.857143e-01, 8.571429e-01
2874, 5.714286e-01, 7.857143e-01, 8.571429e-01
2875, 6.428571e-01, 7.857143e-01, 8.571429e-01
2876, 7.142857e-01, 7.857143e-01, 8.571429e-01
2877, 7.857143e-01, 7.857143e-01, 8.571429e-01
2878, 8.571429e-01, 7.857143e-01, 8.571429e-01
2879, 9.285714e-01, 7.857143e-01, 8.571429e-01
2880, 1.000000e+00, 7.857143e-01, 8.571429e-01
2881, 0.000000e+00, 8.571429e-01, 8.571429e-01
2882, 7.142857e-02, 8.571429e-01, 8.571429e-01
2883, 1.428571e-01, 8.571429e-01, 8.571429e-01
2884, 2.142857e-01, 8.571429e-01, 8.571429e-01
2885, 2.857143e-01, 8.571429e-01, 8.571429e-01
2886, 3.571429e-01, 8.571429e-01, 8.571429e-01
2887, 4.285714e-01, 8.571429e-01, 8.571429e-01
2888, 5.000000e-01, 8.571429e-01, 8.571429e-01
2889, 5.714286e-01, 8.571429e-01, 8.571429e-01
2890, 6.428571e-01, 8.571429e-01, 8.571429e-01
2891, 7.142857e-01, 8.571429e-01, 8.571429e-01
2892, 7.857143e-01, 8.571429e-01, 8.571429e-01
2893, 8.571429e-01, 8.571429e-01, 8.571429e-01
2894, 9.285714e-01, 8.571429e-01, 8.571429e-01
2895, 1.000000e+00, 8.571429e-01, 8.571429e-01
2896, 0.000000e+00, 9.285714e-01, 8.571429e-01
2897, 7.142857e-02, 9.285714e-01, 8.571429e-01
2898, 1.428571e-01, 9.285714e-01, 8.571429e-01
2899, 2.142857e-01, 9.285714e-01, 8.571429e-01
2900, 2.857143e-01, 9.285714e-01, 8.571429e-01
2901, 3.571429e-01, 9.285714e-01, 8.571429e-01
2902, 4.285714e-01, 9.285714e-01, 8.571429e-01
2903, 5.000000e-01, 9.285714e-01, 8.571429e-01
2904, 5.714286e-01, 9.285714e-01, 8.571429e-01
2905, 6.428571e-01, 9.285714e-01, 8.571429e-01
2906, 7.142857e-01, 9.285714e-01, 8.571429e-01
2907, 7.857143e-01, 9.285714e-01, 8.571429e-01
2908, 8.571429e-01, 9.285714e-01, 8.571429e-01
2909, 9.285714e-01, 9.285714e-01, 8.571429e-01
2910, 1.000000e+00, 9.285714e-01, 8.571429e-01
2911, 0.000000e+00, 1.000000e+00, 8.571429e-01
2912, 7.142857e-02, 1.000000e+00, 8.571429e-01
2913, 1.428571e-01, 1.000000e+00, 8.571429e-01
2914, 2.142857e-01, 1.000000e+00, 8.571429e-01
2915, 2.857143e-01, 1.000000e+00, 8.571429e-01
2916, 3.571429e-01, 1.000000e+00, 8.571429e-01
2917, 4.285714e-01, 1.000000e+00, 8.571429e-01
2918, 5.000000e-01, 1.000000e+00, 8.571429e-01
2919, 5.714286e-01, 1.000000e+00, 8.571429e-01
2920, 6.428571e-01, 1.000000e+00, 8.571429e-01
2921, 7.142857e-01, 1.000000e+00, 8.571429e-01
2922, 7.857143e-01, 1.000000e+00, 8.571429e-01
2923, 8.571429e-01, 1.000000e+00, 8.571429e-01
2924, 9.285714e-01, 1.000000e+00, 8.571429e-01
2925, 1.000000e+00, 1.000000e+00, 8.571429e-01
2926, 0.000000e+00, 0.000000e+00, 9.285714e-01
2927, 7.142857e-02, 0.000000e+00, 9.285714e-01
2928, 1.428571e-01, 0.000000e+00, 9.285714e-01
2929, 2.142857e-01, 0.000000e+00, 9.285714e-01
2930, 2.857143e-01, 0.000000e+00, 9.285714e-01
2931, 3.571429e-01, 0.000000e+00, 9.285714e-01
2932, 4.285714e-01, 0.000000e+00, 9.285714e-01
2933, 5.000000e-01, 0.000000e+00, 9.285714e-01
2934, 5.714286e-01, 0.000000e+00, 9.285714e-01
2935, 6.428571e-01, 0.000000e+00, 9.285714e-01
2936, 7.142857e-01, 0.000000e+00, 9.285714e-01
2937, 7.857143e-01, 0.000000e+00, 9.285714e-01
2938, 8.571429e-01, 0.000000e+00, 9.285714e-01
2939, 9.285714e-01, 0.000000e+00, 9.285714e-01
2940, 1.000000e+00, 0.000000e+00, 9.285714e-01
2941, 0.000000e+00, 7.142857e-02, 9.285714e-01
2942, 7.142857e-02, 7.142857e-02, 9.285714e-01
2943, 1.428571e-01, 7.142857e-02, 9.285714e-01
2944, 2.142857e-01, 7.142857e-02, 9.285714e-01
2945, 2.857143e-01, 7.142857e-02, 9.285714e-01
2946, 3.571429e-01, 7.142857e-02, 9.285714e-01
2947, 4.285714e-01, 7.142857e-02, 9.285714e-01
2948, 5.000000e-01, 7.142857e-02, 9.285714e-01
2949, 5.714286e-01, 7.142857e-02, 9.285714e-01
2950, 6.428571e-01, 7.142857e-02, 9.285714e-01
2951, 7.142857e-01, 7.142857e-02, 9.285714e-01
2952, 7.857143e-01, 7.142857e-02, 9.285714e-01
2953, 8.571429e-01, 7.142857e-02, 9.285714e-01
2954, 9.285714e-01, 7.142857e-02, 9.285714e-01
2955, 1.000000e+00, 7.142857e-02, 9.285714e-01
2956, 0.000000e+00, 1.428571e-01, 9.285714e-01
2957, 7.142857e-02, 1.428571e-01, 9.285714e-01
2958, 1.428571e-01, 1.428571e-01, 9.285714e-01
2959, 2.142857e-01, 1.428571e-01, 9.285714e-01
2960, 2.857143e-01, 1.428571e-01, 9.285714e-01
2961, 3.571429e-01, 1.428571e-01, 9.285714e-01
2962, 4.285714e-01, 1.428571e-01, 9.285714e-01
2963, 5.000000e-01, 1.428571e-01, 9.285714e-01
2964, 5.714286e-01, 1.428571e-01, 9.285714e-01
2965, 6.428571e-01, 1.428571e-01, 9.285714e-01
2966, 7.142857e-01, 1.428571e-01, 9.285714e-01
2967, 7.857143e-01, 1.428571e-01, 9.285714e-01
2968, 8.571429e-01, 1.428571e-01, 9.285714e-01
2969, 9.285714e-01, 1.428571e-01, 9.285714e-01
2970, 1.000000e+00, 1.428571e-01, 9.285714e-01
2971, 0.000000e+00, 2.142857e-01, 9.285714e-01
2972, 7.142857e-02, 2.142857e-01, 9.285714e-01
2973, 1.428571e-01, 2.142857e-01, 9.285714e-01
2974, 2.142857e-01, 2.142857e-01, 9.285714e-01
2975, 2.857143e-01, 2.142857e-01, 9.285714e-01
2976, 3.571429e-01, 2.142857e-01, 9.285714e-01
2977, 4.285714e-01, 2.142857e-01, 9.285714e-01
2978, 5.000000e-01, 2.142857e-01, 9.285714e-01
2979, 5.714286e-01, 2.142857e-01, 9.285714e-01
2980, 6.428571e-01, 2.142857e-01, 9.285714e-01
2981, 7.142857e-01, 2.142857e-01, 9.285714e-01
2982, 7.857143e-01, 2.142857e-01, 9.285714e-01
2983, 8.571429e-01, 2.142857e-01, 9.285714e-01
2984, 9.285714e-01, 2.142857e-01, 9.285714e-01
2985, 1.000000e+00, 2.142857e-01, 9.285714e-01
2986, 0.000000e+00, 2.857143e-01, 9.285714e-01
2987, 7.142857e-02, 2.857143e-01, 9.285714e-01
2988, 1.428571e-01, 2.857143e-01, 9.285714e-01
2989, 2.142857e-01, 2.857143e-01, 9.285714e-01
2990, 2.857143e-01, 2.857143e-01, 9.285714e-01
2991, 3.571429e-01, 2.857143e-01, 9.285714e-01
2992, 4.285714e-01, 2.857143e-01, 9.285714e-01
2993, 5.000000e-01, 2.857143e-01, 9.285714e-01
2994, 5.714286e-01, 2.857143e-01, 9.285714e-01
2995, 6.428571e-01, 2.857143e-01, 9.285714e-01
2996, 7.142857e-01, 2.857143e-01, 9.285714e-01
2997, 7.857143e-01, 2.857143e-01, 9.285714e-01
2998, 8.571429e-01, 2.857143e-01, 9.285714e-01
2999, 9.285714e-01, 2.857143e-01, 9.285714e-01
3000, 1.000000e+00, 2.857143e-01, 9.285714e-01
3001, 0.000000e+00, 3.571429e-01, 9.285714e-01
3002, 7.142857e-02, 3.571429e-01, 9.285714e-01
3003, 1.428571e-01, 3.571429e-01, 9.285714e-01
3004, 2.142857e-01, 3.571429e-01, 9.285714e-01
3005, 2.857143e-01, 3.571429e-01, 9.285714e-01
3006, 3.571429e-01, 3.571429e-01, 9.285714e-01
3007, 4.285714e-01, 3.571429e-01, 9.285714e-01
3008, 5.000000e-01, 3.571429e-01, 9.285714e-01
3009, 5.714286e-01, 3.571429e-01, 9.285714e-01
3010, 6.428571e-01, 3.571429e-01, 9.285714e-01
3011, 7.142857e-01, 3.571429e-01, 9.285714e-01
3012, 7.857143e-01, 3.571429e-01, 9.285714e-01
3013, 8.571429e-01, 3.571429e-01, 9.285714e-01
3014, 9.285714e-01, 3.571429e-01, 9.285714e-01
3015, 1.000000e+00, 3.571429e-01, 9.285714e-01
3016, 0.000000e+00, 4.285714e-01, 9.285714e-01
3017, 7.142857e-02, 4.285714e-01, 9.285714e-01
3018, 1.428571e-01, 4.285714e-01, 9.285714e-01
3019, 2.142857e-01, 4.285714e-01, 9.285714e-01
3020, 2.857143e-01, 4.285714e-01, 9.285714e-01
3021, 3.571429e-01, 4.285714e-01, 9.285714e-01
3022, 4.285714e-01, 4.285714e-01, 9.285714e-01
3023, 5.000000e-01, 4.285714e-01, 9.285714e-01
3024, 5.714286e-01, 4.285714e-01, 9.285714e-01
3025, 6.428571e-01, 4.285714e-01, 9.285714e-01
3026, 7.142857e-01, 4.285714e-01, 9.285714e-01
3027, 7.857143e-01, 4.285714e-01, 9.285714e-01
3028, 8.571429e-01, 4.285714e-01, 9.285714e-01
3029, 9.285714e-01, 4.285714e-01, 9.285714e-01
3030, 1.000000e+00, 4.285714e-01, 9.285714e-01
3031, 0.000000e+00, 5.000000e-01, 9.285714e-01
3032, 7.142857e-02, 5.000000e-01, 9.285714e-01
3033, 1.428571e-01, 5.000000e-01, 9.285714e-01
3034, 2.142857e-01, 5.000000e-01, 9.285714e-01
3035, 2.857143e-01, 5.000000e-01, 9.285714e-01
3036, 3.571429e-01, 5.000000e-01, 9.285714e-01
3037, 4.285714e-01, 5.000000e-01, 9.285714e-01
3038, 5.000000e-01, 5.000000e-01, 9.285714e-01
3039, 5.714286e-01, 5.000000e-01, 9.285714e-01
3040, 6.428571e-01, 5.000000e-01, 9.285714e-01
3041, 7.142857e-01, 5.000000e-01, 9.285714e-01
3042, 7.857143e-01, 5.000000e-01, 9.285714e-01
3043, 8.571429e-01, 5.000000e-01, 9.285714e-01
3044, 9.285714e-01, 5.000000e-01, 9.285714e-01
3045, 1.000000e+00, 5.000000e-01, 9.285714e-01
3046, 0.000000e+00, 5.714286e-01, 9.285714e-01
3047, 7.142857e-02, 5.714286e-01, 9.285714e-01
3048, 1.428571e-01, 5.714286e-01, 9.285714e-01
3049, 2.142857e-01, 5.714286e-01, 9.285714e-01
3050, 2.857143e-01, 5.714286e-01, 9.285714e-01
3051, 3.571429e-01, 5.714286e-01, 9.285714e-01
3052, 4.285714e-01, 5.714286e-01, 9.285714e-01
3053, 5.000000e-01, 5.714286e-01, 9.285714e-01
3054, 5.714286e-01, 5.714286e-01, 9.285714e-01
3055, 6.428571e-01, 5.714286e-01, 9.285714e-01
3056, 7.142857e-01, 5.714286e-01, 9.285714e-01
3057, 7.857143e-01, 5.714286e-01, 9.285714e-01
3058, 8.571429e-01, 5.714286e-01, 9.285714e-01
3059, 9.285714e-01, 5.714286e-01, 9.285714e-01
3060, 1.000000e+00, 5.714286e-01, 9.285714e-01
3061, 0.000000e+00, 6.428571e-01, 9.285714e-01
3062, 7.142857e-02, 6.428571e-01, 9.285714e-01
3063, 1.428571e-01, 6.428571e-01, 9.285714e-01
3064, 2.142857e-01, 6.428571e-01, 9.285714e-01
3065, 2.857143e-01, 6.428571e-01, 9.285714e-01
3066, 3.571429e-01, 6.428571e-01, 9.285714e-01
3067, 4.285714e-01, 6.428571e-01, 9.285714e-01
3068, 5.000000e-01, 6.428571e-01, 9.285714e-01
3069, 5.714286e-01, 6.428571e-01, 9.285714e-01
3070, 6.428571e-01, 6.428571e-01, 9.285714e-01
3071, 7.142857e-01, 6.428571e-01, 9.285714e-01
3072, 7.857143e-01, 6.428571e-01, 9.285714e-01
3073, 8.571429e-01, 6.428571e-01, 9.285714e-01
3074, 9.285714e-01, 6.428571e-01, 9.285714e-01
3075, 1.000000e+00, 6.428571e-01, 9.285714e-01
3076, 0.000000e+00, 7.142857e-01, 9.285714e-01
3077, 7.142857e-02, 7.142857e-01, 9.285714e-01
3078, 1.428571e-01, 7.142857e-01, 9.285714e-01
3079, 2.142857e-01, 7.142857e-01, 9.285714e-01
3080, 2.857143e-01, 7.142857e-01, 9.285714e-01
3081, 3.571429e-01, 7.142857e-01, 9.285714e-01
3082, 4.285714e-01, 7.142857e-01, 9.285714e-01
3083, 5.000000e-01, 7.142857e-01, 9.285714e-01
3084, 5.714286e-01, 7.142857e-01, 9.285714e-01
3085, 6.428571e-01, 7.142857e-01, 9.285714e-01
3086, 7.142857e-01, 7.142857e-01, 9.285714e-01
3087, 7.857143e-01, 7.142857e-01, 9.285714e-01
3088, 8.571429e-01, 7.142857e-01, 9.285714e-01
3089, 9.285714e-01, 7.142857e-01, 9.285714e-01
3090, 1.000000e+00, 7.142857e-01, 9.285714e-01
3091, 0.000000e+00, 7.857143e-01, 9.285714e-01
3092, 7.142857e-02, 7.857143e-01, 9.285714e-01
3093, 1.428571e-01, 7.857143e-01, 9.285714e-01
3094, 2.142857e-01, 7.857143e-01, 9.285714e-01
3095, 2.857143e-01, 7.857143e-01, 9.285714e-01
3096, 3.571429e-01, 7.857143e-01, 9.285714e-01
3097, 4.285714e-01, 7.857143e-01, 9.285714e-01
3098, 5.000000e-01, 7.857143e-01, 9.285714e-01
3099, 5.714286e-01, 7.857143e-01, 9.285714e-01
3100, 6.428571e-01, 7.857143e-01, 9.285714e-01
3101, 7.142857e-01, 7.857143e-01, 9.285714e-01
3102, 7.857143e-01, 7.857143e-01, 9.285714e-01
3103, 8.571429e-01, 7.857143e-01, 9.285714e-01
3104, 9.285714e-01, 7.857143e-01, 9.285714e-01
3105, 1.000000e+00, 7.857143e-01, 9.285714e-01
3106, 0.000000e+00, 8.571429e-01, 9.285714e-01
3107, 7.142857e-02, 8.571429e-01, 9.285714e-01
3108, 1.428571e-01, 8.571429e-01, 9.285714e-01
3109, 2.142857e-01, 8.571429e-01, 9.285714e-01
3110, 2.857143e-01, 8.571429e-01, 9.285714e-01
3111, 3.571429e-01, 8.571429e-01, 9.285714e-01
3112, 4.285714e-01, 8.571429e-01, 9.285714e-01
3113, 5.000000e-01, 8.571429e-01, 9.285714e-01
3114, 5.714286e-01, 8.571429e-01, 9.285714e-01
3115, 6.428571e-01, 8.571429e-01, 9.285714e-01
3116, 7.142857e-01, 8.571429e-01, 9.285714e-01
3117, 7.857143e-01, 8.571429e-01, 9.285714e-01
3118, 8.571429e-01, 8.571429e-01, 9.285714e-01
3119, 9.285714e-01, 8.571429e-01, 9.285714e-01
3120, 1.000000e+00, 8.571429e-01, 9.285714e-01
3121, 0.000000e+00, 9.285714e-01, 9.285714e-01
3122, 7.142857e-02, 9.285714e-01, 9.285714e-01
3123, 1.428571e-01, 9.285714e-01, 9.285714e-01
3124, 2.142857e-01, 9.285714e-01, 9.285714e-01
3125, 2.857143e-01, 9.285714e-01, 9.285714e-01
3126, 3.571429e-01, 9.285714e-01, 9.285714e-01
3127, 4.285714e-01, 9.285714e-01, 9.285714e-01
3128, 5.000000e-01, 9.285714e-01, 9.285714e-01
3129, 5.714286e-01, 9.285714e-01, 9.285714e-01
3130, 6.428571e-01, 9.285714e-01, 9.285714e-01
3131, 7.142857e-01, 9.285714e-01, 9.285714e-01
3132, 7.857143e-01, 9.285714e-01, 9.285714e-01
3133, 8.571429e-01, 9.285714e-01, 9.285714e-01
3134, 9.285714e-01, 9.285714e-01, 9.285714e-01
3135, 1.000000e+00, 9.285714e-01, 9.285714e-01
3136, 0.000000e+00, 1.000000e+00, 9.285714e-01
3137, 7.142857e-02, 1.000000e+00, 9.285714e-01
3138, 1.428571e-01, 1.000000e+00, 9.285714e-01
3139, 2.142857e-01, 1.000000e+00, 9.285714e-01
3140, 2.857143e-01, 1.000000e+00, 9.285714e-01
3141, 3.571429e-01, 1.000000e+00, 9.285714e-01
3142, 4.285714e-01, 1.000000e+00, 9.285714e-01
3143, 5.000000e-01, 1.000000e+00, 9.285714e-01
3144, 5.714286e-01, 1.000000e+00, 9.285714e-01
3145, 6.428571e-01, 1.000000e+00, 9.285714e-01
3146, 7.142857e-01, 1.000000e+00, 9.285714e-01
3147, 7.857143e-01, 1.000000e+00, 9.285714e-01
3148, 8.571429e-01, 1.000000e+00, 9.285714e-01
3149, 9.285714e-01, 1.000000e+00, 9.285714e-01
3150, 1.000000e+00, 1.000000e+00, 9.285714e-01
3151, 0.000000e+00, 0.000000e+00, 1.000000e+00
3152, 7.142857e-02, 0.000000e+00, 1.000000e+00
3153, 1.428571e-01, 0.000000e+00, 1.000000e+00
3154, 2.142857e-01, 0.000000e+00, 1.000000e+00
3155, 2.857143e-01, 0.000000e+00, 1.000000e+00
3156, 3.571429e-01, 0.000000e+00, 1.000000e+00
3157, 4.285714e-01, 0.000000e+00, 1.000000e+00
3158, 5.000000e-01, 0.000000e+00, 1.000000e+00
3159, 5.714286e-01, 0.000000e+00, 1.000000e+00
3160, 6.428571e-01, 0.000000e+00, 1.000000e+00
3161, 7.142857e-01, 0.000000e+00, 1.000000e+00
3162, 7.857143e-01, 0.000000e+00, 1.000000e+00
3163, 8.571429e-01, 0.000000e+00, 1.000000e+00
3164, 9.285714e-01, 0.000000e+00, 1.000000e+00
3165, 1.000000e+00, 0.000000e+00, 1.000000e+00
3166, 0.000000e+00, 7.142857e-02, 1.000000e+00
3167, 7.142857e-02, 7.142857e-02, 1.000000e+00
3168, 1.428571e-01, 7.142857e-02, 1.000000e+00
3169, 2.142857e-01, 7.142857e-02, 1.000000e+00
3170, 2.857143e-01, 7.142857e-02, 1.000000e+00
3171, 3.571429e-01, 7.142857e-02, 1.000000e+00
3172, 4.285714e-01, 7.142857e-02, 1.000000e+00
3173, 5.000000e-01, 7.142857e-02, 1.000000e+00
3174, 5.714286e-01, 7.142857e-02, 1.000000e+00
3175, 6.428571e-01, 7.142857e-02, 1.000000e+00
3176, 7.142857e-01, 7.142857e-02, 1.000000e+00
3177, 7.857143e-01, 7.142857e-02, 1.000000e+00
3178, 8.571429e-01, 7.142857e-02, 1.000000e+00
3179, 9.285714e-01, 7.142857e-02, 1.000000e+00
3180, 1.000000e+00, 7.142857e-02, 1.000000e+00
3181, 0.000000e+00, 1.428571e-01, 1.000000e+00
3182, 7.142857e-02, 1.428571e-01, 1.000000e+00
3183, 1.428571e-01, 1.428571e-01, 1.000000e+00
3184, 2.142857e-01, 1.428571e-01, 1.000000e+00
3185, 2.857143e-01, 1.428571e-01, 1.000000e+00
3186, 3.571429e-01, 1.428571e-01, 1.000000e+00
3187, 4.285714e-01, 1.428571e-01, 1.000000e+00
3188, 5.000000e-01, 1.428571e-01, 1.000000e+00
3189, 5.714286e-01, 1.428571e-01, 1.000000e+00
3190, 6.428571e-01, 1.428571e-01, 1.000000e+00
3191, 7.142857e-01, 1.428571e-01, 1.000000e+00
3192, 7.857143e-01, 1.428571e-01, 1.000000e+00
3193, 8.571429e-01, 1.428571e-01, 1.000000e+00
3194, 9.285714e-01, 1.428571e-01, 1.000000e+00
3195, 1.000000e+00, 1.428571e-01, 1.000000e+00
3196, 0.000000e+00, 2.142857e-01, 1.000000e+00
3197, 7.142857e-02, 2.142857e-01, 1.000000e+00
3198, 1.428571e-01, 2.142857e-01, 1.000000e+00
3199, 2.142857e-01, 2.142857e-01, 1.000000e+00
3200, 2.857143e-01, 2.142857e-01, 1.000000e+00
3201, 3.571429e-01, 2.142857e-01, 1.000000e+00
3202, 4.285714e-01, 2.142857e-01, 1.000000e+00
3203, 5.000000e-01, 2.142857e-01, 1.000000e+00
3204, 5.714286e-01, 2.142857e-01, 1.000000e+00
3205, 6.428571e-01, 2.142857e-01, 1.000000e+00
3206, 7.142857e-01, 2.142857e-01, 1.000000e+00
3207, 7.857143e-01, 2.142857e-01, 1.000000e+00
3208, 8.571429e-01, 2.142857e-01, 1.000000e+00
3209, 9.285714e-01, 2.142857e-01, 1.000000e+00
3210, 1.000000e+00, 2.142857e-01, 1.000000e+00
3211, 0.000000e+00, 2.857143e-01, 1.000000e+00
3212, 7.142857e-02, 2.857143e-01, 1.000000e+00
3213, 1.428571e-01, 2.857143e-01, 1.000000e+00
3214, 2.142857e-01, 2.857143e-01, 1.000000e+00
3215, 2.857143e-01, 2.857143e-01, 1.000000e+00
3216, 3.571429e-01, 2.857143e-01, 1.000000e+00
3217, 4.285714e-01, 2.857143e-01, 1.000000e+00
3218, 5.000000e-01, 2.857143e-01, 1.000000e+00
3219, 5.714286e-01, 2.857143e-01, 1.000000e+00
3220, 6.428571e-01, 2.857143e-01, 1.000000e+00
3221, 7.142857e-01, 2.857143e-01, 1.000000e+00
3222, 7.857143e-01, 2.857143e-01, 1.000000e+00
3223, 8.571429e-01, 2.857143e-01, 1.000000e+00
3224, 9.285714e-01, 2.857143e-01, 1.000000e+00
3225, 1.000000e+00, 2.857143e-01, 1.000000e+00
3226, 0.000000e+00, 3.571429e-01, 1.000000e+00
3227, 7.142857e-02, 3.571429e-01, 1.000000e+00
3228, 1.428571e-01, 3.571429e-01, 1.000000e+00
3229, 2.142857e-01, 3.571429e-01, 1.000000e+00
3230, 2.857143e-01, 3.571429e-01, 1.000000e+00
3231, 3.571429e-01, 3.571429e-01, 1.000000e+00
3232, 4.285714e-01, 3.571429e-01, 1.000000e+00
3233, 5.000000e-01, 3.571429e-01, 1.000000e+00
3234, 5.714286e-01, 3.571429e-01, 1.000000e+00
3235, 6.428571e-01, 3.571429e-01, 1.000000e+00
3236, 7.142857e-01, 3.571429e-01, 1.000000e+00
3237, 7.857143e-01, 3.571429e-01, 1.000000e+00
3238, 8.571429e-01, 3.571429e-01, 1.000000e+00
3239, 9.285714e-01, 3.571429e-01, 1.000000e+00
3240, 1.000000e+00, 3.571429e-01, 1.000000e+00
3241, 0.000000e+00, 4.285714e-01, 1.000000e+00
3242, 7.142857e-02, 4.285714e-01, 1.000000e+00
3243, 1.428571e-01, 4.285714e-01, 1.000000e+00
3244, 2.142857e-01, 4.285714e-01, 1.000000e+00
3245, 2.857143e-01, 4.285714e-01, 1.000000e+00
3246, 3.571429e-01, 4.285714e-01, 1.000000e+00
3247, 4.285714e-01, 4.285714e-01, 1.000000e+00
3248, 5.000000e-01, 4.285714e-01, 1.000000e+00
3249, 5.714286e-01, 4.285714e-01, 1.000000e+00
3250, 6.428571e-01, 4.285714e-01, 1.000000e+00
3251, 7.142857e-01, 4.285714e-01, 1.000000e+00
3252, 7.857143e-01, 4.285714e-01, 1.000000e+00
3253, 8.571429e-01, 4.285714e-01, 1.000000e+00
3254, 9.285714e-01, 4.285714e-01, 1.000000e+00
3255, 1.000000e+00, 4.285714e-01, 1.000000e+00
3256, 0.000000e+00, 5.000000e-01, 1.000000e+00
3257, 7.142857e-02, 5.000000e-01, 1.000000e+00
3258, 1.428571e-01, 5.000000e-01, 1.000000e+00
3259, 2.142857e-01, 5.000000e-01, 1.000000e+00
3260, 2.857143e-01, 5.000000e-01, 1.000000e+00
3261, 3.571429e-01, 5.000000e-01, 1.000000e+00
3262, 4.285714e-01, 5.000000e-01, 1.000000e+00
3263, 5.000000e-01, 5.000000e-01, 1.000000e+00
3264, 5.714286e-01, 5.000000e-01, 1.000000e+00
3265, 6.428571e-01, 5.000000e-01, 1.000000e+00
3266, 7.142857e-01, 5.000000e-01, 1.000000e+00
3267, 7.857143e-01, 5.000000e-01, 1.000000e+00
3268, 8.571429e-01, 5.000000e-01, 1.000000e+00
3269, 9.285714e-01, 5.000000e-01, 1.000000e+00
3270, 1.000000e+00, 5.000000e-01, 1.000000e+00
3271, 0.000000e+00, 5.714286e-01, 1.000000e+00
3272, 7.142857e-02, 5.714286e-01, 1.000000e+00
3273, 1.428571e-01, 5.714286e-01, 1.000000e+00
3274, 2.142857e-01, 5.714286e-01, 1.000000e+00
3275, 2.857143e-01, 5.714286e-01, 1.000000e+00
3276, 3.571429e-01, 5.714286e-01, 1.000000e+00
3277, 4.285714e-01, 5.714286e-01, 1.000000e+00
3278, 5.000000e-01, 5.714286e-01, 1.000000e+00
3279, 5.714286e-01, 5.714286e-01, 1.000000e+00
3280, 6.428571e-01, 5.714286e-01, 1.000000e+00
3281, 7.142857e-01, 5.714286e-01, 1.000000e+00
3282, 7.857143e-01, 5.714286e-01, 1.000000e+00
3283, 8.571429e-01, 5.714286e-01, 1.000000e+00
3284, 9.285714e-01, 5.714286e-01, 1.000000e+00
3285, 1.000000e+00, 5.714286e-01, 1.000000e+00
3286, 0.000000e+00, 6.428571e-01, 1.000000e+00
3287, 7.142857e-02, 6.428571e-01, 1.000000e+00
3288, 1.428571e-01, 6.428571e-01, 1.000000e+00
3289, 2.142857e-01, 6.428571e-01, 1.000000e+00
3290, 2.857143e-01, 6.428571e-01, 1.000000e+00
3291, 3.571429e-01, 6.428571e-01, 1.000000e+00
3292, 4.285714e-01, 6.428571e-01, 1.000000e+00
3293, 5.000000e-01, 6.428571e-01, 1.000000e+00
3294, 5.714286e-01, 6.428571e-01, 1.000000e+00
3295, 6.428571e-01, 6.428571e-01, 1.000000e+00
3296, 7.142857e-01, 6.428571e-01, 1.000000e+00
3297, 7.857143e-01, 6.428571e-01, 1.000000e+00
3298, 8.571429e-01, 6.428571e-01, 1.000000e+00
3299, 9.285714e-01, 6.428571e-01, 1.000000e+00
3300, 1.000000e+00, 6.428571e-01, 1.000000e+00
3301, 0.000000e+00, 7.142857e-01, 1.000000e+00
3302, 7.142857e-02, 7.142857e-01, 1.000000e+00
3303, 1.428571e-01, 7.142857e-01, 1.000000e+00
3304, 2.142857e-01, 7.142857e-01, 1.000000e+00
3305, 2.857143e-01, 7.142857e-01, 1.000000e+00
3306, 3.571429e-01, 7.142857e-01, 1.000000e+00
3307, 4.285714e-01, 7.142857e-01, 1.000000e+00
3308, 5.000000e-01, 7.142857e-01, 1.000000e+00
3309, 5.714286e-01, 7.142857e-01, 1.000000e+00
3310, 6.428571e-01, 7.142857e-01, 1.000000e+00
3311, 7.142857e-01, 7.142857e-01, 1.000000e+00
3312, 7.857143e-01, 7.142857e-01, 1.000000e+00
3313, 8.571429e-01, 7.142857e-01, 1.000000e+00
3314, 9.285714e-01, 7.142857e-01, 1.000000e+00
3315, 1.000000e+00, 7.142857e-01, 1.000000e+00
3316, 0.000000e+00, 7.857143e-01, 1.000000e+00
3317, 7.142857e-02, 7.857143e-01, 1.000000e+00
3318, 1.428571e-01, 7.857143e-01, 1.000000e+00
3319, 2.142857e-01, 7.857143e-01, 1.000000e+00
3320, 2.857143e-01, 7.857143e-01, 1.000000e+00
3321, 3.571429e-01, 7.857143e-01, 1.000000e+00
3322, 4.285714e-01, 7.857143e-01, 1.000000e+00
3323, 5.000000e-01, 7.857143e-01, 1.000000e+00
3324, 5.714286e-01, 7.857143e-01, 1.000000e+00
3325, 6.428571e-01, 7.857143e-01, 1.000000e+00
3326, 7.142857e-01, 7.857143e-01, 1.000000e+00
3327, 7.857143e-01, 7.857143e-01, 1.000000e+00
3328, 8.571429e-01, 7.857143e-01, 1.000000e+00
3329, 9.285714e-01, 7.857143e-01, 1.000000e+00
3330, 1.000000e+00, 7.857143e-01, 1.000000e+00
3331, 0.000000e+00, 8.571429e-01, 1.000000e+00
3332, 7.142857e-02, 8.571429e-01, 1.000000e+00
3333, 1.428571e-01, 8.571429e-01, 1.000000e+00
3334, 2.142857e-01, 8.571429e-01, 1.000000e+00
3335, 2.857143e-01, 8.571429e-01, 1.000000e+00
3336, 3.571429e-01, 8.571429e-01, 1.000000e+00
3337, 4.285714e-01, 8.571429e-01, 1.000000e+00
3338, 5.000000e-01, 8.571429e-01, 1.000000e+00
3339, 5.714286e-01, 8.571429e-01, 1.000000e+00
3340, 6.428571e-01, 8.571429e-01, 1.000000e+00
3341, 7.142857e-01, 8.571429e-01, 1.000000e+00
3342, 7.857143e-01, 8.571429e-01, 1.000000e+00
3343, 8.571429e-01, 8.571429e-01, 1.000000e+00
3344, 9.285714e-01, 8.571429e-01, 1.000000e+00
3345, 1.000000e+00, 8.571429e-01, 1.000000e+00
3346, 0.000000e+00, 9.285714e-01, 1.000000e+00
3347, 7.142857e-02, 9.285714e-01, 1.000000e+00
3348, 1.428571e-01, 9.285714e-01, 1.000000e+00
3349, 2.142857e-01, 9.285714e-01, 1.000000e+00
3350, 2.857143e-01, 9.285714e-01, 1.000000e+00
3351, 3.571429e-01, 9.285714e-01, 1.000000e+00
3352, 4.285714e-01, 9.285714e-01, 1.000000e+00
3353, 5.000000e-01, 9.285714e-01, 1.000000e+00
3354, 5.714286e-01, 9.285714e-01, 1.000000e+00
3355, 6.428571e-01, 9.285714e-01, 1.000000e+00
3356, 7.142857e-01, 9.285714e-01, 1.000000e+00
3357, 7.857143e-01, 9.285714e-01, 1.000000e+00
3358, 8.571429e-01, 9.285714e-01, 1.000000e+00
3359, 9.285714e-01, 9.285714e-01, 1.000000e+00
3360, 1.000000e+00, 9.285714e-01, 1.000000e+00
3361, 0.000000e+00, 1.000000e+00, 1.000000e+00
3362, 7.142857e-02, 1.000000e+00, 1.000000e+00
3363, 1.428571e-01, 1.000000e+00, 1.000000e+00
3364, 2.142857e-01, 1.000000e+00, 1.000000e+00
3365, 2.857143e-01, 1.000000e+00, 1.000000e+00
3366, 3.571429e-01, 1.000000e+00, 1.000000e+00
3367, 4.285714e-01, 1.000000e+00, 1.000000e+00
3368, 5.000000e-01, 1.000000e+00, 1.000000e+00
3369, 5.714286e-01, 1.000000e+00, 1.000000e+00
3370, 6.428571e-01, 1.000000e+00, 1.000000e+00
3371, 7.142857e-01, 1.000000e+00, 1.000000e+00
3372, 7.857143e-01, 1.000000e+00, 1.000000e+00
3373, 8.571429e-01, 1.000000e+00, 1.000000e+00
3374, 9.285714e-01, 1.000000e+00, 1.000000e+00
3375, 1.000000e+00, 1.000000e+00, 1.000000e+00
*Element, type=C3D8
1, 1, 2, 17, 16, 226, 227, 242, 241
2, 2, 3, 18, 17, 227, 228, 243, 242
3, 3, 4, 19, 18, 228, 229, 244, 243
4, 4, 5, 20, 19, 229, 230, 245, 244
5, 5, 6, 21, 20, 230, 231, 246, 245
6, 6, 7, 22, 21, 231, 232, 247, 246
7, 7, 8, 23, 22, 232, 233, 248, 247
8, 8, 9, 24, 23, 233, 234, 249, 248
9, 9, 10, 25, 24, 234, 235, 250, 249
10, 10, 11, 26, 25, 235, 236, 251, 250
11, 11, 12, 27, 26, 236, 237, 252, 251
12, 12, 13, 28, 27, 237, 238, 253, 252
13, 13, 14, 29, 28, 238, 239, 254, 253
14, 14, 15, 30, 29, 239, 240, 255, 254
15, 16, 17, 32, 31, 241, 242, 257, 256
16, 17, 18, 33, 32, 242, 243, 258, 257
17, 18, 19, 34, 33, 243, 244, 259, 258
18, 19, 20, 35, 34, 244, 245, 260, 259
19, 20, 21, 36, 35, 245, 246, 261, 260
20, 21, 22, 37, 36, 246, 247, 262, 261
21, 22, 23, 38, 37, 247, 248, 263, 262
22, 23, 24, 39, 38, 248, 249, 264, 263
23, 24, 25, 40, 39, 249, 250, 265, 264
24, 25, 26, 41, 40, 250, 251, 266, 265
25, 26, 27, 42, 41, 251, 252, 267, 266
26, 27, 28, 43, 42, 252, 253, 268, 267
27, 28, 29, 44, 43, 253, 254, 269, 268
28, 29, 30, 45, 44, 254, 255, 270, 269
29, 31, 32, 47, 46, 256, 257, 272, 271
30, 32, 33, 48, 47, 257, 258, 273, 272
31, 33, 34, 49, 48, 258, 259, 274, 273
32, 34, 35, 50, 49, 259, 260, 275, 274
33, 35, 36, 51, 50, 260, 261, 276, 275
34, 36, 37, 52, 51, 261, 262, 277, 276
35, 37, 38, 53, 52, 262, 263, 278, 277
36, 38, 39, 54, 53, 263, 264, 279, 278
37, 39, 40, 55, 54, 264, 265, 280, 279
38, 40, 41, 56, 55, 265, 266, 281, 280
39, 41, 42, 57, 56, 266, 267, 282, 281
40, 42, 43, 58, 57, 267, 268, 283, 282
41, 43, 44, 59, 58, 268, 269, 284, 283
42, 44, 45, 60, 59, 269, 270, 285, 284
43, 46, 47, 62, 61, 271, 272, 287, 286
44, 47, 48, 63, 62, 272, 273, 288, 287
45, 48, 49, 64, 63, 273, 274, 289, 288
46, 49, 50, 65, 64, 274, 275, 290, 289
47, 50, 51, 66, 65, 275, 276, 291, 290
48, 51, 52, 67, 66, 276, 277, 292, 291
49, 52, 53, 68, 67, 277, 278, 293, 292
50, 53, 54, 69, 68, 278, 279, 294, 293
51, 54, 55, 70, 69, 279, 280, 295, 294
52, 55, 56, 71, 70, 280, 281, 296, 295
53, 56, 57, 72, 71, 281, 282, 297, 296
54, 57, 58, 73, 72, 282, 283, 298, 297
55, 58, 59, 74, 73, 283, 284, 299, 298
56, 59, 60, 75, 74, 284, 285, 300, 299
57, 61, 62, 77, 76, 286, 287, 302, 301
58, 62, 63, 78, 77, 287, 288, 303, 302
59, 63, 64, 79, 78, 288, 289, 304, 303
60, 64, 65, 80, 79, 289, 290, 305, 304
61, 65, 66, 81, 80, 290, 291, 306, 305
62, 66, 67, 82, 81, 291, 292, 307, 306
63, 67, 68, 83, 82, 292, 293, 308, 307
64, 68, 69, 84, 83, 293, 294, 309, 308
65, 69, 70, 85, 84, 294, 295, 310, 309
66, 70, 71, 86, 85, 295, 296, 311, 310
67, 71, 72, 87, 86, 296, 297, 312, 311
68, 72, 73, 88, 87, 297, 298, 313, 312
69, 73, 74, 89, 88, 298, 299, 314, 313
70, 74, 75, 90, 89, 299, 300, 315, 314
71, 76, 77, 92, 91, 301, 302, 317, 316
72, 77, 78, 93, 92, 302, 303, 318, 317
73, 78, 79, 94, 93, 303, 304, 319, 318
74, 79, 80, 95, 94, 304, 305, 320, 319
75, 80, 81, 96, 95, 305, 306, 321, 320
76, 81, 82, 97, 96, 306, 307, 322, 321
77, 82, 83, 98, 97, 307, 308, 323, 322
78, 83, 84, 99, 98, 308, 309, 324, 323
79, 84, 85, 100, 99, 309, 310, 325, 324
80, 85, 86, 101, 100, 310, 311, 326, 325
81, 86, 87, 102, 101, 311, 312, 327, 326
82, 87, 88, 103, 102, 312, 313, 328, 327
83, 88, 89, 104, 103, 313, 314, 329, 328
84, 89, 90, 105, 104, 314, 315, 330, 329
85, 91, 92, 107, 106, 316, 317, 332, 331
86, 92, 93, 108, 107, 317, 318, 333, 332
87, 93, 94, 109, 108, 318, 319, 334, 333
88, 94, 95, 110, 109, 319, 320, 335, 334
89, 95, 96, 111, 110, 320, 321, 336, 335
90, 96, 97, 112, 111, 321, 322, 337, 336
91, 97, 98, 113, 112, 322, 323, 338, 337
92, 98, 99, 114, 113, 323, 324, 339, 338
93, 99, 100, 115, 114, 324, 325, 340, 339
94, 100, 101, 116, 115, 325, 326, 341, 340
95, 101, 102, 117, 116, 326, 327, 342, 341
96, 102, 103, 118, 117, 327, 328, 343, 342
97, 103, 104, 119, 118, 328, 329, 344, 343
98, 104, 105, 120, 119, 329, 330, 345, 344
99, 106, 107, 122, 121, 331, 332, 347, 346
100, 107, 108, 123, 122, 332, 333, 348, 347
101, 108, 109, 124, 123, 333, 334, 349, 348
102, 109, 110, 125, 124, 334, 335, 350, 349
103, 110, 111, 126, 125, 335, 336, 351, 350
104, 111, 112, 127, 126, 336, 337, 352, 351
105, 112, 113, 128, 127, 337, 338, 353, 352
106, 113, 114, 129, 128, 338, 339, 354, 353
107, 114, 115, 130, 129, 339, 340, 355, 354
108, 115, 116, 131, 130, 340, 341, 356, 355
109, 116, 117, 132, 131, 341, 342, 357, 356
110, 117, 118, 133, 132, 342, 343, 358, 357
111, 118, 119, 134, 133, 343, 344, 359, 358
112, 119, 120, 135, 134, 344, 345, 360, 359
113, 121, 122, 137, 136, 346, 347, 362, 361
114, 122, 123, 138, 137, 347, 348, 363, 362
115, 123, 124, 139, 138, 348, 349, 364, 363
116, 124, 125, 140, 139, 349, 350, 365, 364
117, 125, 126, 141, 140, 350, 351, 366, 365
118, 126, 127, 142, 141, 351, 352, 367, 366
119, 127, 128, 143, 142, 352, 353, 368, 367
120, 128, 129, 144, 143, 353, 354, 369, 368
121, 129, 130, 145, 144, 354, 355, 370, 369
122, 130, 131, 146, 145, 355, 356, 371, 370
123, 131, 132, 147, 146, 356, 357, 372, 371
124, 132, 133, 148, 147, 357, 358, 373, 372
125, 133, 134, 149, 148, 358, 359, 374, 373
126, 134, 135, 150, 149, 359, 360, 375, 374
127, 136, 137, 152, 151, 361, 362, 377, 376
128, 137, 138, 153, 152, 362, 363, 378, 377
129, 138, 139, 154, 153, 363, 364, 379, 378
130, 139, 140, 155, 154, 364, 365, 380, 379
131, 140, 141, 156, 155, 365, 366, 381, 380
132, 141, 142, 157, 156, 366, 367, 382, 381
133, 142, 143, 158, 157, 367, 368, 383, 382
134, 143, 144, 159, 158, 368, 369, 384, 383
135, 144, 145, 160, 159, 369, 370, 385, 384
136, 145, 146, 161, 160, 370, 371, 386, 385
137, 146, 147, 162, 161, 371, 372, 387, 386
138, 147, 148, 163, 162, 372, 373, 388, 387
139, 148, 149, 164, 163, 373, 374, 389, 388
140, 149, 150, 165, 164, 374, 375, 390, 389
141, 151, 152, 167, 166, 376, 377, 392, 391
142, 152, 153, 168, 167, 377, 378, 393, 392
143, 153, 154, 169, 168, 378, 379, 394, 393
144, 154, 155, 170, 169, 379, 380, 395, 394
145, 155, 156, 171, 170, 380, 381, 396, 395
146, 156, 157, 172, 171, 381, 382, 397, 396
147, 157, 158, 173, 172, 382, 383, 398, 397
148, 158, 159, 174, 173, 383, 384, 399, 398
149, 159, 160, 175, 174, 384, 385, 400, 399
150, 160, 161, 176, 175, 385, 386, 401, 400
151, 161, 162, 177, 176, 386, 387, 402, 401
152, 162, 163, 178, 177, 387, 388, 403, 402
153, 163, 164, 179, 178, 388, 389, 404, 403
154, 164, 165, 180, 179, 389, 390, 405, 404
155, 166, 167, 182, 181, 391, 392, 407, 406
156, 167, 168, 183, 182, 392, 393, 408, 407
157, 168, 169, 184, 183, 393, 394, 409, 408
158, 169, 170, 185, 184, 394, 395, 410, 409
159, 170, 171, 186, 185, 395, 396, 411, 410
160, 171, 172, 187, 186, 396, 397, 412, 411
161, 172, 173, 188, 187, 397, 398, 413, 412
162, 173, 174, 189, 188, 398, 399, 414, 413
163, 174, 175, 190, 189, 399, 400, 415, 414
164, 175, 176, 191, 190, 400, 401, 416, 415
165, 176, 177, 192, 191, 401, 402, 417, 416
166, 177, 178, 193, 192, 402, 403, 418, 417
167, 178, 179, 194, 193, 403, 404, 419, 418
168, 179, 180, 195, 194, 404, 405, 420, 419
169, 181, 182, 197, 196, 406, 407, 422, 421
170, 182, 183, 198, 197, 407, 408, 423, 422
171, 183, 184, 199, 198, 408, 409, 424, 423
172, 184, 185, 200, 199, 409, 410, 425, 424
173, 185, 186, 201, 200, 410, 411, 426, 425
174, 186, 187, 202, 201, 411, 412, 427, 426
175, 187, 188, 203, 202, 412, 413, 428, 427
176, 188, 189, 204, 203, 413, 414, 429, 428
177, 189, 190, 205, 204, 414, 415, 430, 429
178, 190, 191, 206, 205, 415, 416, 431, 430
179, 191, 192, 207, 206, 416, 417, 432, 431
180, 192, 193, 208, 207, 417, 418, 433, 432
181, 193, 194, 209, 208, 418, 419, 434, 433
182, 194, 195, 210, 209, 419, 420, 435, 434
183, 196, 197, 212, 211, 421, 422, 437, 436
184, 197, 198, 213, 212, 422, 423, 438, 437
185, 198, 199, 214, 213, 423, 424, 439, 438
186, 199, 200, 215, 214, 424, 425, 440, 439
187, 200, 201, 216, 215, 425, 426, 441, 440
188, 201, 202, 217, 216, 426, 427, 442, 441
189, 202, 203, 218, 217, 427, 428, 443, 442
190, 203, 204, 219, 218, 428, 429, 444, 443
191, 204, 205, 220, 219, 429, 430, 445, 444
192, 205, 206, 221, 220, 430, 431, 446, 445
193, 206, 207, 222, 221, 431, 432, 447, 446
194, 207, 208, 223, 222, 432, 433, 448, 447
195, 208, 209, 224, 223, 433, 434, 449, 448
196, 209, 210, 225, 224, 434, 435, 450, 449
197, 226, 227, 242, 241, 451, 452, 467, 466
198, 227, 228, 243, 242, 452, 453, 468, 467
199, 228, 229, 244, 243, 453, 454, 469, 468
200, 229, 230, 245, 244, 454, 455, 470, 469
201, 230, 231, 246, 245, 455, 456, 471, 470
202, 231, 232, 247, 246, 456, 457, 472, 471
203, 232, 233, 248, 247, 457, 458, 473, 472
204, 233, 234, 249, 248, 458, 459, 474, 473
205, 234, 235, 250, 249, 459, 460, 475, 474
206, 235, 236, 251, 250, 460, 461, 476, 475
207, 236, 237, 252, 251, 461, 462, 477, 476
208, 237, 238, 253, 252, 462, 463, 478, 477
209, 238, 239, 254, 253, 463, 464, 479, 478
210, 239, 240, 255, 254, 464, 465, 480, 479
211, 241, 242, 257, 256, 466, 467, 482, 481
212, 242, 243, 258, 257, 467, 468, 483, 482
213, 243, 244, 259, 258, 468, 469, 484, 483
214, 244, 245, 260, 259, 469, 470, 485, 484
215, 245, 246, 261, 260, 470, 471, 486, 485
216, 246, 247, 262, 261, 471, 472, 487, 486
217, 247, 248, 263, 262, 472, 473, 488, 487
218, 248, 249, 264, 263, 473, 474, 489, 488
219, 249, 250, 265, 264, 474, 475, 490, 489
220, 250, 251, 266, 265, 475, 476, 491, 490
221, 251, 252, 267, 266, 476, 477, 492, 491
222, 252, 253, 268, 267, 477, 478, 493, 492
223, 253, 254, 269, 268, 478, 479, 494, 493
224, 254, 255, 270, 269, 479, 480, 495, 494
225, 256, 257, 272, 271, 481, 482, 497, 496
226, 257, 258, 273, 272, 482, 483, 498, 497
227, 258, 259, 274, 273, 483, 484, 499, 498
228, 259, 260, 275, 274, 484, 485, 500, 499
229, 260, 261, 276, 275, 485, 486, 501, 500
230, 261, 262, 277, 276, 486, 487, 502, 501
231, 262, 263, 278, 277, 487, 488, 503, 502
232, 263, 264, 279, 278, 488, 489, 504, 503
233, 264, 265, 280, 279, 489, 490, 505, 504
234, 265, 266, 281, 280, 490, 491, 506, 505
235, 266, 267, 282, 281, 491, 492, 507, 506
236, 267, 268, 283, 282, 492, 493, 508, 507
237, 268, 269, 284, 283, 493, 494, 509, 508
238, 269, 270, 285, 284, 494, 495, 510, 509
239, 271, 272, 287, 286, 496, 497, 512, 511
240, 272, 273, 288, 287, 497, 498, 513, 512
241, 273, 274, 289, 288, 498, 499, 514, 513
242, 274, 275, 290, 289, 499, 500, 515, 514
243, 275, 276, 291, 290, 500, 501, 516, 515
244, 276, 277, 292, 291, 501, 502, 517, 516
245, 277, 278, 293, 292, 502, 503, 518, 517
246, 278, 279, 294, 293, 503, 504, 519, 518
247, 279, 280, 295, 294, 504, 505, 520, 519
248, 280, 281, 296, 295, 505, 506, 521, 520
249, 281, 282, 297, 296, 506, 507, 522, 521
250, 282, 283, 298, 297, 507, 508, 523, 522
251, 283, 284, 299, 298, 508, 509, 524, 523
252, 284, 285, 300, 299, 509, 510, 525, 524
253, 286, 287, 302, 301, 511, 512, 527, 526
254, 287, 288, 303, 302, 512, 513, 528, 527
255, 288, 289, 304, 303, 513, 514, 529, 528
256, 289, 290, 305, 304, 514, 515, 530, 529
257, 290, 291, 306, 305, 515, 516, 531, 530
258, 291, 292, 307, 306, 516, 517, 532, 531
259, 292, 293, 308, 307, 517, 518, 533, 532
260, 293, 294, 309, 308, 518, 519, 534, 533
261, 294, 295, 310, 309, 519, 520, 535, 534
262, 295, 296, 311, 310, 520, 521, 536, 535
263, 296, 297, 312, 311, 521, 522, 537, 536
264, 297, 298, 313, 312, 522, 523, 538, 537
265, 298, 299, 314, 313, 523, 524, 539, 538
266, 299, 300, 315, 314, 524, 525, 540, 539
267, 301, 302, 317, 316, 526, 527, 542, 541
268, 302, 303, 318, 317, 527, 528, 543, 542
269, 303, 304, 319, 318, 528, 529, 544, 543
270, 304, 305, 320, 319, 529, 530, 545, 544
271, 305, 306, 321, 320, 530, 531, 546, 545
272, 306, 307, 322, 321, 531, 532, 547, 546
273, 307, 308, 323, 322, 532, 533, 548, 547
274, 308, 309, 324, 323, 533, 534, 549, 548
275, 309, 310, 325, 324, 534, 535, 550, 549
276, 310, 311, 326, 325, 535, 536, 551, 550
277, 311, 312, 327, 326, 536, 537, 552, 551
278, 312, 313, 328, 327, 537, 538, 553, 552
279, 313, 314, 329, 328, 538, 539, 554, 553
280, 314, 315, 330, 329, 539, 540, 555, 554
281, 316, 317, 332, 331, 541, 542, 557, 556
282, 317, 318, 333, 332, 542, 543, 558, 557
283, 318, 319, 334, 333, 543, 544, 559, 558
284, 319, 320, 335, 334, 544, 545, 560, 559
285, 320, 321, 336, 335, 545, 546, 561, 560
286, 321, 322, 337, 336, 546, 547, 562, 561
287, 322, 323, 338, 337, 547, 548, 563, 562
288, 323, 324, 339, 338, 548, 549, 564, 563
289, 324, 325, 340, 339, 549, 550, 565, 564
290, 325, 326, 341, 340, 550, 551, 566, 565
291, 326, 327, 342, 341, 551, 552, 567, 566
292, 327, 328, 343, 342, 552, 553, 568, 567
293, 328, 329, 344, 343, 553, 554, 569, 568
294, 329, 330, 345, 344, 554, 555, 570, 569
295, 331, 332, 347, 346, 556, 557, 572, 571
296, 332, 333, 348, 347, 557, 558, 573, 572
297, 333, 334, 349, 348, 558, 559, 574, 573
298, 334, 335, 350, 349, 559, 560, 575, 574
299, 335, 336, 351, 350, 560, 561, 576, 575
300, 336, 337, 352, 351, 561, 562, 577, 576
301, 337, 338, 353, 352, 562, 563, 578, 577
302, 338, 339, 354, 353, 563, 564, 579, 578
303, 339, 340, 355, 354, 564, 565, 580, 579
304, 340, 341, 356, 355, 565, 566, 581, 580
305, 341, 342, 357, 356, 566, 567, 582, 581
306, 342, 343, 358, 357, 567, 568, 583, 582
307, 343, 344, 359, 358, 568, 569, 584, 583
308, 344, 345, 360, 359, 569, 570, 585, 584
309, 346, 347, 362, 361, 571, 572, 587, 586
310, 347, 348, 363, 362, 572, 573, 588, 587
311, 348, 349, 364, 363, 573, 574, 589, 588
312, 349, 350, 365, 364, 574, 575, 590, 589
313, 350, 351, 366, 365, 575, 576, 591, 590
314, 351, 352, 367, 366, 576, 577, 592, 591
315, 352, 353, 368, 367, 577, 578, 593, 592
316, 353, 354, 369, 368, 578, 579, 594, 593
317, 354, 355, 370, 369, 579, 580, 595, 594
318, 355, 356, 371, 370, 580, 581, 596, 595
319, 356, 357, 372, 371, 581, 582, 597, 596
320, 357, 358, 373, 372, 582, 583, 598, 597
321, 358, 359, 374, 373, 583, 584, 599, 598
322, 359, 360, 375, 374, 584, 585, 600, 599
323, 361, 362, 377, 376, 586, 587, 602, 601
324, 362, 363, 378, 377, 587, 588, 603, 602
325, 363, 364, 379, 378, 588, 589, 604, 603
326, 364, 365, 380, 379, 589, 590, 605, 604
327, 365, 366, 381, 380, 590, 591, 606, 605
328, 366, 367, 382, 381, 591, 592, 607, 606
329, 367, 368, 383, 382, 592, 593, 608, 607
330, 368, 369, 384, 383, 593, 594, 609, 608
331, 369, 370, 385, 384, 594, 595, 610, 609
332, 370, 371, 386, 385, 595, 596, 611, 610
333, 371, 372, 387, 386, 596, 597, 612, 611
334, 372, 373, 388, 387, 597, 598, 613, 612
335, 373, 374, 389, 388, 598, 599, 614, 613
336, 374, 375, 390, 389, 599, 600, 615, 614
337, 376, 377, 392, 391, 601, 602, 617, 616
338, 377, 378, 393, 392, 602, 603, 618, 617
339, 378, 379, 394, 393, 603, 604, 619, 618
340, 379, 380, 395, 394, 604, 605, 620, 619
341, 380, 381, 396, 395, 605, 606, 621, 620
342, 381, 382, 397, 396, 606, 607, 622, 621
343, 382, 383, 398, 397, 607, 608, 623, 622
344, 383, 384, 399, 398, 608, 609, 624, 623
345, 384, 385, 400, 399, 609, 610, 625, 624
346, 385, 386, 401, 400, 610, 611, 626, 625
347, 386, 387, 402, 401, 611, 612, 627, 626
348, 387, 388, 403, 402, 612, 613, 628, 627
349, 388, 389, 404, 403, 613, 614, 629, 628
350, 389, 390, 405, 404, 614, 615, 630, 629
351, 391, 392, 407, 406, 616, 617, 632, 631
352, 392, 393, 408, 407, 617, 618, 633, 632
353, 393, 394, 409, 408, 618, 619, 634, 633
354, 394, 395, 410, 409, 619, 620, 635, 634
355, 395, 396, 411, 410, 620, 621, 636, 635
356, 396, 397, 412, 411, 621, 622, 637, 636
357, 397, 398, 413, 412, 622, 623, 638, 637
358, 398, 399, 414, 413, 623, 624, 639, 638
359, 399, 400, 415, 414, 624, 625, 640, 639
360, 400, 401, 416, 415, 625, 626, 641, 640
361, 401, 402, 417, 416, 626, 627, 642, 641
362, 402, 403, 418, 417, 627, 628, 643, 642
363, 403, 404, 419, 418, 628, 629, 644, 643
364, 404, 405, 420, 419, 629, 630, 645, 644
365, 406, 407, 422, 421, 631, 632, 647, 646
366, 407, 408, 423, 422, 632, 633, 648, 647
367, 408, 409, 424, 423, 633, 634, 649, 648
368, 409, 410, 425, 424, 634, 635, 650, 649
369, 410, 411, 426, 425, 635, 636, 651, 650
370, 411, 412, 427, 426, 636, 637, 652, 651
371, 412, 413, 428, 427, 637, 638, 653, 652
372, 413, 414, 429, 428, 638, 639, 654, 653
373, 414, 415, 430, 429, 639, 640, 655, 654
374, 415, 416, 431, 430, 640, 641, 656, 655
375, 416, 417, 432, 431, 641, 642, 657, 656
376, 417, 418, 433, 432, 642, 643, 658, 657
377, 418, 419, 434, 433, 643, 644, 659, 658
378, 419, 420, 435, 434, 644, 645, 660, 659
379, 421, 422, 437, 436, 646, 647, 662, 661
380, 422, 423, 438, 437, 647, 648, 663, 662
381, 423, 424, 439, 438, 648, 649, 664, 663
382, 424, 425, 440, 439, 649, 650, 665, 664
383, 425, 426, 441, 440, 650, 651, 666, 665
384, 426, 427, 442, 441, 651, 652, 667, 666
385, 427, 428, 443, 442, 652, 653, 668, 667
386, 428, 429, 444, 443, 653, 654, 669, 668
387, 429, 430, 445, 444, 654, 655, 670, 669
388, 430, 431, 446, 445, 655, 656, 671, 670
389, 431, 432, 447, 446, 656, 657, 672, 671
390, 432, 433, 448, 447, 657, 658, 673, 672
391, 433, 434, 449, 448, 658, 659, 674, 673
392, 434, 435, 450, 449, 659, 660, 675, 674
393, 451, 452, 467, 466, 676, 677, 692, 691
394, 452, 453, 468, 467, 677, 678, 693, 692
395, 453, 454, 469, 468, 678, 679, 694, 693
396, 454, 455, 470, 469, 679, 680, 695, 694
397, 455, 456, 471, 470, 680, 681, 696, 695
398, 456, 457, 472, 471, 681, 682, 697, 696
399, 457, 458, 473, 472, 682, 683, 698, 697
400, 458, 459, 474, 473, 683, 684, 699, 698
401, 459, 460, 475, 474, 684, 685, 700, 699
402, 460, 461, 476, 475, 685, 686, 701, 700
403, 461, 462, 477, 476, 686, 687, 702, 701
404, 462, 463, 478, 477, 687, 688, 703, 702
405, 463, 464, 479, 478, 688, 689, 704, 703
406, 464, 465, 480, 479, 689, 690, 705, 704
407, 466, 467, 482, 481, 691, 692, 707, 706
408, 467, 468, 483, 482, 692, 693, 708, 707
409, 468, 469, 484, 483, 693, 694, 709, 708
410, 469, 470, 485, 484, 694, 695, 710, 709
411, 470, 471, 486, 485, 695, 696, 711, 710
412, 471, 472, 487, 486, 696, 697, 712, 711
413, 472, 473, 488, 487, 697, 698, 713, 712
414, 473, 474, 489, 488, 698, 699, 714, 713
415, 474, 475, 490, 489, 699, 700, 715, 714
416, 475, 476, 491, 490, 700, 701, 716, 715
417, 476, 477, 492, 491, 701, 702, 717, 716
418, 477, 478, 493, 492, 702, 703, 718, 717
419, 478, 479, 494, 493, 703, 704, 719, 718
420, 479, 480, 495, 494, 704, 705, 720, 719
421, 481, 482, 497, 496, 706, 707, 722, 721
422, 482, 483, 498, 497, 707, 708, 723, 722
423, 483, 484, 499, 498, 708, 709, 724, 723
424, 484, 485, 500, 499, 709, 710, 725, 724
425, 485, 486, 501, 500, 710, 711, 726, 725
426, 486, 487, 502, 501, 711, 712, 727, 726
427, 487, 488, 503, 502, 712, 713, 728, 727
428, 488, 489, 504, 503, 713, 714, 729, 728
429, 489, 490, 505, 504, 714, 715, 730, 729
430, 490, 491, 506, 505, 715, 716, 731, 730
431, 491, 492, 507, 506, 716, 717, 732, 731
432, 492, 493, 508, 507, 717, 718, 733, 732
433, 493, 494, 509, 508, 718, 719, 734, 733
434, 494, 495, 510, 509, 719, 720, 735, 734
435, 496, 497, 512, 511, 721, 722, 737, 736
436, 497, 498, 513, 512, 722, 723, 738, 737
437, 498, 499, 514, 513, 723, 724, 739, 738
438, 499, 500, 515, 514, 724, 725, 740, 739
439, 500, 501, 516, 515, 725, 726, 741, 740
440, 501, 502, 517, 516, 726, 727, 742, 741
441, 502, 503, 518, 517, 727, 728, 743, 742
442, 503, 504, 519, 518, 728, 729, 744, 743
443, 504, 505, 520, 519, 729, 730, 745, 744
444, 505, 506, 521, 520, 730, 731, 746, 745
445, 506, 507, 522, 521, 731, 732, 747, 746
446, 507, 508, 523, 522, 732, 733, 748, 747
447, 508, 509, 524, 523, 733, 734, 749, 748
448, 509, 510, 525, 524, 734, 735, 750, 749
449, 511, 512, 527, 526, 736, 737, 752, 751
450, 512, 513, 528, 527, 737, 738, 753, 752
451, 513, 514, 529, 528, 738, 739, 754, 753
452, 514, 515, 530, 529, 739, 740, 755, 754
453, 515, 516, 531, 530, 740, 741, 756, 755
454, 516, 517, 532, 531, 741, 742, 757, 756
455, 517, 518, 533, 532, 742, 743, 758, 757
456, 518, 519, 534, 533, 743, 744, 759, 758
457, 519, 520, 535, 534, 744, 745, 760, 759
458, 520, 521, 536, 535, 745, 746, 761, 760
459, 521, 522, 537, 536, 746, 747, 762, 761
460, 522, 523, 538, 537, 747, 748, 763, 762
461, 523, 524, 539, 538, 748, 749, 764, 763
462, 524, 525, 540, 539, 749, 750, 765, 764
463, 526, 527, 542, 541, 751, 752, 767, 766
464, 527, 528, 543, 542, 752, 753, 768, 767
465, 528, 529, 544, 543, 753, 754, 769, 768
466, 529, 530, 545, 544, 754, 755, 770, 769
467, 530, 531, 546, 545, 755, 756, 771, 770
468, 531, 532, 547, 546, 756, 757, 772, 771
469, 532, 533, 548, 547, 757, 758, 773, 772
470, 533, 534, 549, 548, 758, 759, 774, 773
471, 534, 535, 550, 549, 759, 760, 775, 774
472, 535, 536, 551, 550, 760, 761, 776, 775
473, 536, 537, 552, 551, 761, 762, 777, 776
474, 537, 538, 553, 552, 762, 763, 778, 777
475, 538, 539, 554, 553, 763, 764, 779, 778
476, 539, 540, 555, 554, 764, 765, 780, 779
477, 541, 542, 557, 556, 766, 767, 782, 781
478, 542, 543, 558, 557, 767, 768, 783, 782
479, 543, 544, 559, 558, 768, 769, 784, 783
480, 544, 545, 560, 559, 769, 770, 785, 784
481, 545, 546, 561, 560, 770, 771, 786, 785
482, 546, 547, 562, 561, 771, 772, 787, 786
483, 547, 548, 563, 562, 772, 773, 788, 787
484, 548, 549, 564, 563, 773, 774, 789, 788
485, 549, 550, 565, 564, 774, 775, 790, 789
486, 550, 551, 566, 565, 775, 776, 791, 790
487, 551, 552, 567, 566, 776, 777, 792, 791
488, 552, 553, 568, 567, 777, 778, 793, 792
489, 553, 554, 569, 568, 778, 779, 794, 793
490, 554, 555, 570, 569, 779, 780, 795, 794
491, 556, 557, 572, 571, 781, 782, 797, 796
492, 557, 558, 573, 572, 782, 783, 798, 797
493, 558, 559, 574, 573, 783, 784, 799, 798
494, 559, 560, 575, 574, 784, 785, 800, 799
495, 560, 561, 576, 575, 785, 786, 801, 800
496, 561, 562, 577, 576, 786, 787, 802, 801
497, 562, 563, 578, 577, 787, 788, 803, 802
498, 563, 564, 579, 578, 788, 789, 804, 803
499, 564, 565, 580, 579, 789, 790, 805, 804
500, 565, 566, 581, 580, 790, 791, 806, 805
501, 566, 567, 582, 581, 791, 792, 807, 806
502, 567, 568, 583, 582, 792, 793, 808, 807
503, 568, 569, 584, 583, 793, 794, 809, 808
504, 569, 570, 585, 584, 794, 795, 810, 809
505, 571, 572, 587, 586, 796, 797, 812, 811
506, 572, 573, 588, 587, 797, 798, 813, 812
507, 573, 574, 589, 588, 798, 799, 814, 813
508, 574, 575, 590, 589, 799, 800, 815, 814
509, 575, 576, 591, 590, 800, 801, 816, 815
510, 576, 577, 592, 591, 801, 802, 817, 816
511, 577, 578, 593, 592, 802, 803, 818, 817
512, 578, 579, 594, 593, 803, 804, 819, 818
513, 579, 580, 595, 594, 804, 805, 820, 819
514, 580, 581, 596, 595, 805, 806, 821, 820
515, 581, 582, 597, 596, 806, 807, 822, 821
516, 582, 583, 598, 597, 807, 808, 823, 822
517, 583, 584, 599, 598, 808, 809, 824, 823
518, 584, 585, 600, 599, 809, 810, 825, 824
519, 586, 587, 602, 601, 811, 812, 827, 826
520, 587, 588, 603, 602, 812, 813, 828, 827
521, 588, 589, 604, 603, 813, 814, 829, 828
522, 589, 590, 605, 604, 814, 815, 830, 829
523, 590, 591, 606, 605, 815, 816, 831, 830
524, 591, 592, 607, 606, 816, 817, 832, 831
525, 592, 593, 608, 607, 817, 818, 833, 832
526, 593, 594, 609, 608, 818, 819, 834, 833
527, 594, 595, 610, 609, 819, 820, 835, 834
528, 595, 596, 611, 610, 820, 821, 836, 835
529, 596, 597, 612, 611, 821, 822, 837, 836
530, 597, 598, 613, 612, 822, 823, 838, 837
531, 598, 599, 614, 613, 823, 824, 839, 838
532, 599, 600, 615, 614, 824, 825, 840, 839
533, 601, 602, 617, 616, 826, 827, 842, 841
534, 602, 603, 618, 617, 827, 828, 843, 842
535, 603, 604, 619, 618, 828, 829, 844, 843
536, 604, 605, 620, 619, 829, 830, 845, 844
537, 605, 606, 621, 620, 830, 831, 846, 845
538, 606, 607, 622, 621, 831, 832, 847, 846
539, 607, 608, 623, 622, 832, 833, 848, 847
540, 608, 609, 624, 623, 833, 834, 849, 848
541, 609, 610, 625, 624, 834, 835, 850, 849
542, 610, 611, 626, 625, 835, 836, 851, 850
543, 611, 612, 627, 626, 836, 837, 852, 851
544, 612, 613, 628, 627, 837, 838, 853, 852
545, 613, 614, 629, 628, 838, 839, 854, 853
546, 614, 615, 630, 629, 839, 840, 855, 854
547, 616, 617, 632, 631, 841, 842, 857, 856
548, 617, 618, 633, 632, 842, 843, 858, 857
549, 618, 619, 634, 633, 843, 844, 859, 858
550, 619, 620, 635, 634, 844, 845, 860, 859
551, 620, 621, 636, 635, 845, 846, 861, 860
552, 621, 622, 637, 636, 846, 847, 862, 861
553, 622, 623, 638, 637, 847, 848, 863, 862
554, 623, 624, 639, 638, 848, 849, 864, 863
555, 624, 625, 640, 639, 849, 850, 865, 864
556, 625, 626, 641, 640, 850, 851, 866, 865
557, 626, 627, 642, 641, 851, 852, 867, 866
558, 627, 628, 643, 642, 852, 853, 868, 867
559, 628, 629, 644, 643, 853, 854, 869, 868
560, 629, 630, 645, 644, 854, 855, 870, 869
561, 631, 632, 647, 646, 856, 857, 872, 871
562, 632, 633, 648, 647, 857, 858, 873, 872
563, 633, 634, 649, 648, 858, 859, 874, 873
564, 634, 635, 650, 649, 859, 860, 875, 874
565, 635, 636, 651, 650, 860, 861, 876, 875
566, 636, 637, 652, 651, 861, 862, 877, 876
567, 637, 638, 653, 652, 862, 863, 878, 877
568, 638, 639, 654, 653, 863, 864, 879, 878
569, 639, 640, 655, 654, 864, 865, 880, 879
570, 640, 641, 656, 655, 865, 866, 881, 880
571, 641, 642, 657, 656, 866, 867, 882, 881
572, 642, 643, 658, 657, 867, 868, 883, 882
573, 643, 644, 659, 658, 868, 869, 884, 883
574, 644, 645, 660, 659, 869, 870, 885, 884
575, 646, 647, 662, 661, 871, 872, 887, 886
576, 647, 648, 663, 662, 872, 873, 888, 887
577, 648, 649, 664, 663, 873, 874, 889, 888
578, 649, 650, 665, 664, 874, 875, 890, 889
579, 650, 651, 666, 665, 875, 876, 891, 890
580, 651, 652, 667, 666, 876, 877, 892, 891
581, 652, 653, 668, 667, 877, 878, 893, 892
582, 653, 654, 669, 668, 878, 879, 894, 893
583, 654, 655, 670, 669, 879, 880, 895, 894
584, 655, 656, 671, 670, 880, 881, 896, 895
585, 656, 657, 672, 671, 881, 882, 897, 896
586, 657, 658, 673, 672, 882, 883, 898, 897
587, 658, 659, 674, 673, 883, 884, 899, 898
588, 659, 660, 675, 674, 884, 885, 900, 899
589, 676, 677, 692, 691, 901, 902, 917, 916
590, 677, 678, 693, 692, 902, 903, 918, 917
591, 678, 679, 694, 693, 903, 904, 919, 918
592, 679, 680, 695, 694, 904, 905, 920, 919
593, 680, 681, 696, 695, 905, 906, 921, 920
594, 681, 682, 697, 696, 906, 907, 922, 921
595, 682, 683, 698, 697, 907, 908, 923, 922
596, 683, 684, 699, 698, 908, 909, 924, 923
597, 684, 685, 700, 699, 909, 910, 925, 924
598, 685, 686, 701, 700, 910, 911, 926, 925
599, 686, 687, 702, 701, 911, 912, 927, 926
600, 687, 688, 703, 702, 912, 913, 928, 927
601, 688, 689, 704, 703, 913, 914, 929, 928
602, 689, 690, 705, 704, 914, 915, 930, 929
603, 691, 692, 707, 706, 916, 917, 932, 931
604, 692, 693, 708, 707, 917, 918, 933, 932
605, 693, 694, 709, 708, 918, 919, 934, 933
606, 694, 695, 710, 709, 919, 920, 935, 934
607, 695, 696, 711, 710, 920, 921, 936, 935
608, 696, 697, 712, 711, 921, 922, 937, 936
609, 697, 698, 713, 712, 922, 923, 938, 937
610, 698, 699, 714, 713, 923, 924, 939, 938
611, 699, 700, 715, 714, 924, 925, 940, 939
612, 700, 701, 716, 715, 925, 926, 941, 940
613, 701, 702, 717, 716, 926, 927, 942, 941
614, 702, 703, 718, 717, 927, 928, 943, 942
615, 703, 704, 719, 718, 928, 929, 944, 943
616, 704, 705, 720, 719, 929, 930, 945, 944
617, 706, 707, 722, 721, 931, 932, 947, 946
618, 707, 708, 723, 722, 932, 933, 948, 947
619, 708, 709, 724, 723, 933, 934, 949, 948
620, 709, 710, 725, 724, 934, 935, 950, 949
621, 710, 711, 726, 725, 935, 936, 951, 950
622, 711, 712, 727, 726, 936, 937, 952, 951
623, 712, 713, 728, 727, 937, 938, 953, 952
624, 713, 714, 729, 728, 938, 939, 954, 953
625, 714, 715, 730, 729, 939, 940, 955, 954
626, 715, 716, 731, 730, 940, 941, 956, 955
627, 716, 717, 732, 731, 941, 942, 957, 956
628, 717, 718, 733, 732, 942, 943, 958, 957
629, 718, 719, 734, 733, 943, 944, 959, 958
630, 719, 720, 735, 734, 944, 945, 960, 959
631, 721, 722, 737, 736, 946, 947, 962, 961
632, 722, 723, 738, 737, 947, 948, 963, 962
633, 723, 724, 739, 738, 948, 949, 964, 963
634, 724, 725, 740, 739, 949, 950, 965, 964
635, 725, 726, 741, 740, 950, 951, 966, 965
636, 726, 727, 742, 741, 951, 952, 967, 966
637, 727, 728, 743, 742, 952, 953, 968, 967
638, 728, 729, 744, 743, 953, 954, 969, 968
639, 729, 730, 745, 744, 954, 955, 970, 969
640, 730, 731, 746, 745, 955, 956, 971, 970
641, 731, 732, 747, 746, 956, 957, 972, 971
642, 732, 733, 748, 747, 957, 958, 973, 972
643, 733, 734, 749, 748, 958, 959, 974, 973
644, 734, 735, 750, 749, 959, 960, 975, 974
645, 736, 737, 752, 751, 961, 962, 977, 976
646, 737, 738, 753, 752, 962, 963, 978, 977
647, 738, 739, 754, 753, 963, 964, 979, 978
648, 739, 740, 755, 754, 964, 965, 980, 979
649, 740, 741, 756, 755, 965, 966, 981, 980
650, 741, 742, 757, 756, 966, 967, 982, 981
651, 742, 743, 758, 757, 967, 968, 983, 982
652, 743, 744, 759, 758, 968, 969, 984, 983
653, 744, 745, 760, 759, 969, 970, 985, 984
654, 745, 746, 761, 760, 970, 971, 986, 985
655, 746, 747, 762, 761, 971, 972, 987, 986
656, 747, 748, 763, 762, 972, 973, 988, 987
657, 748, 749, 764, 763, 973, 974, 989, 988
658, 749, 750, 765, 764, 974, 975, 990, 989
659, 751, 752, 767, 766, 976, 977, 992, 991
660, 752, 753, 768, 767, 977, 978, 993, 992
661, 753, 754, 769, 768, 978, 979, 994, 993
662, 754, 755, 770, 769, 979, 980, 995, 994
663, 755, 756, 771, 770, 980, 981, 996, 995
664, 756, 757, 772, 771, 981, 982, 997, 996
665, 757, 758, 773, 772, 982, 983, 998, 997
666, 758, 759, 774, 773, 983, 984, 999, 998
667, 759, 760, 775, 774, 984, 985, 1000, 999
668, 760, 761, 776, 775, 985, 986, 1001, 1000
669, 761, 762, 777, 776, 986, 987, 1002, 1001
670, 762, 763, 778, 777, 987, 988, 1003, 1002
671, 763, 764, 779, 778, 988, 989, 1004, 1003
672, 764, 765, 780, 779, 989, 990, 1005, 1004
673, 766, 767, 782, 781, 991, 992, 1007, 1006
674, 767, 768, 783, 782, 992, 993, 1008, 1007
675, 768, 769, 784, 783, 993, 994, 1009, 1008
676, 769, 770, 785, 784, 994, 995, 1010, 1009
677, 770, 771, 786, 785, 995, 996, 1011, 1010
678, 771, 772, 787, 786, 996, 997, 1012, 1011
679, 772, 773, 788, 787, 997, 998, 1013, 1012
680, 773, 774, 789, 788, 998, 999, 1014, 1013
681, 774, 775, 790, 789, 999, 1000, 1015, 1014
682, 775, 776, 791, 790, 1000, 1001, 1016, 1015
683, 776, 777, 792, 791, 1001, 1002, 1017, 1016
684, 777, 778, 793, 792, 1002, 1003, 1018, 1017
685, 778, 779, 794, 793, 1003, 1004, 1019, 1018
686, 779, 780, 795, 794, 1004, 1005, 1020, 1019
687, 781, 782, 797, 796, 1006, 1007, 1022, 1021
688, 782, 783, 798, 797, 1007, 1008, 1023, 1022
689, 783, 784, 799, 798, 1008, 1009, 1024, 1023
690, 784, 785, 800, 799, 1009, 1010, 1025, 1024
691, 785, 786, 801, 800, 1010, 1011, 1026, 1025
692, 786, 787, 802, 801, 1011, 1012, 1027, 1026
693, 787, 788, 803, 802, 1012, 1013, 1028, 1027
694, 788, 789, 804, 803, 1013, 1014, 1029, 1028
695, 789, 790, 805, 804, 1014, 1015, 1030, 1029
696, 790, 791, 806, 805, 1015, 1016, 1031, 1030
697, 791, 792, 807, 806, 1016, 1017, 1032, 1031
698, 792, 793, 808, 807, 1017, 1018, 1033, 1032
699, 793, 794, 809, 808, 1018, 1019, 1034, 1033
700, 794, 795, 810, 809, 1019, 1020, 1035, 1034
701, 796, 797, 812, 811, 1021, 1022, 1037, 1036
702, 797, 798, 813, 812, 1022, 1023, 1038, 1037
703, 798, 799, 814, 813, 1023, 1024, 1039, 1038
704, 799, 800, 815, 814, 1024, 1025, 1040, 1039
705, 800, 801, 816, 815, 1025, 1026, 1041, 1040
706, 801, 802, 817, 816, 1026, 1027, 1042, 1041
707, 802, 803, 818, 817, 1027, 1028, 1043, 1042
708, 803, 804, 819, 818, 1028, 1029, 1044, 1043
709, 804, 805, 820, 819, 1029, 1030, 1045, 1044
710, 805, 806, 821, 820, 1030, 1031, 1046, 1045
711, 806, 807, 822, 821, 1031, 1032, 1047, 1046
712, 807, 808, 823, 822, 1032, 1033, 1048, 1047
713, 808, 809, 824, 823, 1033, 1034, 1049, 1048
714, 809, 810, 825, 824, 1034, 1035, 1050, 1049
715, 811, 812, 827, 826, 1036, 1037, 1052, 1051
716, 812, 813, 828, 827, 1037, 1038, 1053, 1052
717, 813, 814, 829, 828, 1038, 1039, 1054, 1053
718, 814, 815, 830, 829, 1039, 1040, 1055, 1054
719, 815, 816, 831, 830, 1040, 1041, 1056, 1055
720, 816, 817, 832, 831, 1041, 1042, 1057, 1056
721, 817, 818, 833, 832, 1042, 1043, 1058, 1057
722, 818, 819, 834, 833, 1043, 1044, 1059, 1058
723, 819, 820, 835, 834, 1044, 1045, 1060, 1059
724, 820, 821, 836, 835, 1045, 1046, 1061, 1060
725, 821, 822, 837, 836, 1046, 1047, 1062, 1061
726, 822, 823, 838, 837, 1047, 1048, 1063, 1062
727, 823, 824, 839, 838, 1048, 1049, 1064, 1063
728, 824, 825, 840, 839, 1049, 1050, 1065, 1064
729, 826, 827, 842, 841, 1051, 1052, 1067, 1066
730, 827, 828, 843, 842, 1052, 1053, 1068, 1067
731, 828, 829, 844, 843, 1053, 1054, 1069, 1068
732, 829, 830, 845, 844, 1054, 1055, 1070, 1069
733, 830, 831, 846, 845, 1055, 1056, 1071, 1070
734, 831, 832, 847, 846, 1056, 1057, 1072, 1071
735, 832, 833, 848, 847, 1057, 1058, 1073, 1072
736, 833, 834, 849, 848, 1058, 1059, 1074, 1073
737, 834, 835, 850, 849, 1059, 1060, 1075, 1074
738, 835, 836, 851, 850, 1060, 1061, 1076, 1075
739, 836, 837, 852, 851, 1061, 1062, 1077, 1076
740, 837, 838, 853, 852, 1062, 1063, 1078, 1077
741, 838, 839, 854, 853, 1063, 1064, 1079, 1078
742, 839, 840, 855, 854, 1064, 1065, 1080, 1079
743, 841, 842, 857, 856, 1066, 1067, 1082, 1081
744, 842, 843, 858, 857, 1067, 1068, 1083, 1082
745, 843, 844, 859, 858, 1068, 1069, 1084, 1083
746, 844, 845, 860, 859, 1069, 1070, 1085, 1084
747, 845, 846, 861, 860, 1070, 1071, 1086, 1085
748, 846, 847, 862, 861, 1071, 1072, 1087, 1086
749, 847, 848, 863, 862, 1072, 1073, 1088, 1087
750, 848, 849, 864, 863, 1073, 1074, 1089, 1088
751, 849, 850, 865, 864, 1074, 1075, 1090, 1089
752, 850, 851, 866, 865, 1075, 1076, 1091, 1090
753, 851, 852, 867, 866, 1076, 1077, 1092, 1091
754, 852, 853, 868, 867, 1077, 1078, 1093, 1092
755, 853, 854, 869, 868, 1078, 1079, 1094, 1093
756, 854, 855, 870, 869, 1079, 1080, 1095, 1094
757, 856, 857, 872, 871, 1081, 1082, 1097, 1096
758, 857, 858, 873, 872, 1082, 1083, 1098, 1097
759, 858, 859, 874, 873, 1083, 1084, 1099, 1098
760, 859, 860, 875, 874, 1084, 1085, 1100, 1099
761, 860, 861, 876, 875, 1085, 1086, 1101, 1100
762, 861, 862, 877, 876, 1086, 1087, 1102, 1101
763, 862, 863, 878, 877, 1087, 1088, 1103, 1102
764, 863, 864, 879, 878, 1088, 1089, 1104, 1103
765, 864, 865, 880, 879, 1089, 1090, 1105, 1104
766, 865, 866, 881, 880, 1090, 1091, 1106, 1105
767, 866, 867, 882, 881, 1091, 1092, 1107, 1106
768, 867, 868, 883, 882, 1092, 1093, 1108, 1107
769, 868, 869, 884, 883, 1093, 1094, 1109, 1108
770, 869, 870, 885, 884, 1094, 1095, 1110, 1109
771, 871, 872, 887, 886, 1096, 1097, 1112, 1111
772, 872, 873, 888, 887, 1097, 1098, 1113, 1112
773, 873, 874, 889, 888, 1098, 1099, 1114, 1113
774, 874, 875, 890, 889, 1099, 1100, 1115, 1114
775, 875, 876, 891, 890, 1100, 1101, 1116, 1115
776, 876, 877, 892, 891, 1101, 1102, 1117, 1116
777, 877, 878, 893, 892, 1102, 1103, 1118, 1117
778, 878, 879, 894, 893, 1103, 1104, 1119, 1118
779, 879, 880, 895, 894, 1104, 1105, 1120, 1119
780, 880, 881, 896, 895, 1105, 1106, 1121, 1120
781, 881, 882, 897, 896, 1106, 1107, 1122, 1121
782, 882, 883, 898, 897, 1107, 1108, 1123, 1122
783, 883, 884, 899, 898, 1108, 1109, 1124, 1123
784, 884, 885, 900, 899, 1109, 1110, 1125, 1124
785, 901, 902, 917, 916, 1126, 1127, 1142, 1141
786, 902, 903, 918, 917, 1127, 1128, 1143, 1142
787, 903, 904, 919, 918, 1128, 1129, 1144, 1143
788, 904, 905, 920, 919, 1129, 1130, 1145, 1144
789, 905, 906, 921, 920, 1130, 1131, 1146, 1145
790, 906, 907, 922, 921, 1131, 1132, 1147, 1146
791, 907, 908, 923, 922, 1132, 1133, 1148, 1147
792, 908, 909, 924, 923, 1133, 1134, 1149, 1148
793, 909, 910, 925, 924, 1134, 1135, 1150, 1149
794, 910, 911, 926, 925, 1135, 1136, 1151, 1150
795, 911, 912, 927, 926, 1136, 1137, 1152, 1151
796, 912, 913, 928, 927, 1137, 1138, 1153, 1152
797, 913, 914, 929, 928, 1138, 1139, 1154, 1153
798, 914, 915, 930, 929, 1139, 1140, 1155, 1154
799, 916, 917, 932, 931, 1141, 1142, 1157, 1156
800, 917, 918, 933, 932, 1142, 1143, 1158, 1157
801, 918, 919, 934, 933, 1143, 1144, 1159, 1158
802, 919, 920, 935, 934, 1144, 1145, 1160, 1159
803, 920, 921, 936, 935, 1145, 1146, 1161, 1160
804, 921, 922, 937, 936, 1146, 1147, 1162, 1161
805, 922, 923, 938, 937, 1147, 1148, 1163, 1162
806, 923, 924, 939, 938, 1148, 1149, 1164, 1163
807, 924, 925, 940, 939, 1149, 1150, 1165, 1164
808, 925, 926, 941, 940, 1150, 1151, 1166, 1165
809, 926, 927, 942, 941, 1151, 1152, 1167, 1166
810, 927, 928, 943, 942, 1152, 1153, 1168, 1167
811, 928, 929, 944, 943, 1153, 1154, 1169, 1168
812, 929, 930, 945, 944, 1154, 1155, 1170, 1169
813, 931, 932, 947, 946, 1156, 1157, 1172, 1171
814, 932, 933, 948, 947, 1157, 1158, 1173, 1172
815, 933, 934, 949, 948, 1158, 1159, 1174, 1173
816, 934, 935, 950, 949, 1159, 1160, 1175, 1174
817, 935, 936, 951, 950, 1160, 1161, 1176, 1175
818, 936, 937, 952, 951, 1161, 1162, 1177, 1176
819, 937, 938, 953, 952, 1162, 1163, 1178, 1177
820, 938, 939, 954, 953, 1163, 1164, 1179, 1178
821, 939, 940, 955, 954, 1164, 1165, 1180, 1179
822, 940, 941, 956, 955, 1165, 1166, 1181, 1180
823, 941, 942, 957, 956, 1166, 1167, 1182, 1181
824, 942, 943, 958, 957, 1167, 1168, 1183, 1182
825, 943, 944, 959, 958, 1168, 1169, 1184, 1183
826, 944, 945, 960, 959, 1169, 1170, 1185, 1184
827, 946, 947, 962, 961, 1171, 1172, 1187, 1186
828, 947, 948, 963, 962, 1172, 1173, 1188, 1187
829, 948, 949, 964, 963, 1173, 1174, 1189, 1188
830, 949, 950, 965, 964, 1174, 1175, 1190, 1189
831, 950, 951, 966, 965, 1175, 1176, 1191, 1190
832, 951, 952, 967, 966, 1176, 1177, 1192, 1191
833, 952, 953, 968, 967, 1177, 1178, 1193, 1192
834, 953, 954, 969, 968, 1178, 1179, 1194, 1193
835, 954, 955, 970, 969, 1179, 1180, 1195, 1194
836, 955, 956, 971, 970, 1180, 1181, 1196, 1195
837, 956, 957, 972, 971, 1181, 1182, 1197, 1196
838, 957, 958, 973, 972, 1182, 1183, 1198, 1197
839, 958, 959, 974, 973, 1183, 1184, 1199, 1198
840, 959, 960, 975, 974, 1184, 1185, 1200, 1199
841, 961, 962, 977, 976, 1186, 1187, 1202, 1201
842, 962, 963, 978, 977, 1187, 1188, 1203, 1202
843, 963, 964, 979, 978, 1188, 1189, 1204, 1203
844, 964, 965, 980, 979, 1189, 1190, 1205, 1204
845, 965, 966, 981, 980, 1190, 1191, 1206, 1205
846, 966, 967, 982, 981, 1191, 1192, 1207, 1206
847, 967, 968, 983, 982, 1192, 1193, 1208, 1207
848, 968, 969, 984, 983, 1193, 1194, 1209, 1208
849, 969, 970, 985, 984, 1194, 1195, 1210, 1209
850, 970, 971, 986, 985, 1195, 1196, 1211, 1210
851, 971, 972, 987, 986, 1196, 1197, 1212, 1211
852, 972, 973, 988, 987, 1197, 1198, 1213, 1212
853, 973, 974, 989, 988, 1198, 1199, 1214, 1213
854, 974, 975, 990, 989, 1199, 1200, 1215, 1214
855, 976, 977, 992, 991, 1201, 1202, 1217, 1216
856, 977, 978, 993, 992, 1202, 1203, 1218, 1217
857, 978, 979, 994, 993, 1203, 1204, 1219, 1218
858, 979, 980, 995, 994, 1204, 1205, 1220, 1219
859, 980, 981, 996, 995, 1205, 1206, 1221, 1220
860, 981, 982, 997, 996, 1206, 1207, 1222, 1221
861, 982, 983, 998, 997, 1207, 1208, 1223, 1222
862, 983, 984, 999, 998, 1208, 1209, 1224, 1223
863, 984, 985, 1000, 999, 1209, 1210, 1225, 1224
864, 985, 986, 1001, 1000, 1210, 1211, 1226, 1225
865, 986, 987, 1002, 1001, 1211, 1212, 1227, 1226
866, 987, 988, 1003, 1002, 1212, 1213, 1228, 1227
867, 988, 989, 1004, 1003, 1213, 1214, 1229, 1228
868, 989, 990, 1005, 1004, 1214, 1215, 1230, 1229
869, 991, 992, 1007, 1006, 1216, 1217, 1232, 1231
870, 992, 993, 1008, 1007, 1217, 1218, 1233, 1232
871, 993, 994, 1009, 1008, 1218, 1219, 1234, 1233
872, 994, 995, 1010, 1009, 1219, 1220, 1235, 1234
873, 995, 996, 1011, 1010, 1220, 1221, 1236, 1235
874, 996, 997, 1012, 1011, 1221, 1222, 1237, 1236
875, 997, 998, 1013, 1012, 1222, 1223, 1238, 1237
876, 998, 999, 1014, 1013, 1223, 1224, 1239, 1238
877, 999, 1000, 1015, 1014, 1224, 1225, 1240, 1239
878, 1000, 1001, 1016, 1015, 1225, 1226, 1241, 1240
879, 1001, 1002, 1017, 1016, 1226, 1227, 1242, 1241
880, 1002, 1003, 1018, 1017, 1227, 1228, 1243, 1242
881, 1003, 1004, 1019, 1018, 1228, 1229, 1244, 1243
882, 1004, 1005, 1020, 1019, 1229, 1230, 1245, 1244
883, 1006, 1007, 1022, 1021, 1231, 1232, 1247, 1246
884, 1007, 1008, 1023, 1022, 1232, 1233, 1248, 1247
885, 1008, 1009, 1024, 1023, 1233, 1234, 1249, 1248
886, 1009, 1010, 1025, 1024, 1234, 1235, 1250, 1249
887, 1010, 1011, 1026, 1025, 1235, 1236, 1251, 1250
888, 1011, 1012, 1027, 1026, 1236, 1237, 1252, 1251
889, 1012, 1013, 1028, 1027, 1237, 1238, 1253, 1252
890, 1013, 1014, 1029, 1028, 1238, 1239, 1254, 1253
891, 1014, 1015, 1030, 1029, 1239, 1240, 1255, 1254
892, 1015, 1016, 1031, 1030, 1240, 1241, 1256, 1255
893, 1016, 1017, 1032, 1031, 1241, 1242, 1257, 1256
894, 1017, 1018, 1033, 1032, 1242, 1243, 1258, 1257
895, 1018, 1019, 1034, 1033, 1243, 1244, 1259, 1258
896, 1019, 1020, 1035, 1034, 1244, 1245, 1260, 1259
897, 1021, 1022, 1037, 1036, 1246, 1247, 1262, 1261
898, 1022, 1023, 1038, 1037, 1247, 1248, 1263, 1262
899, 1023, 1024, 1039, 1038, 1248, 1249, 1264, 1263
900, 1024, 1025, 1040, 1039, 1249, 1250, 1265, 1264
901, 1025, 1026, 1041, 1040, 1250, 1251, 1266, 1265
902, 1026, 1027, 1042, 1041, 1251, 1252, 1267, 1266
903, 1027, 1028, 1043, 1042, 1252, 1253, 1268, 1267
904, 1028, 1029, 1044, 1043, 1253, 1254, 1269, 1268
905, 1029, 1030, 1045, 1044, 1254, 1255, 1270, 1269
906, 1030, 1031, 1046, 1045, 1255, 1256, 1271, 1270
907, 1031, 1032, 1047, 1046, 1256, 1257, 1272, 1271
908, 1032, 1033, 1048, 1047, 1257, 1258, 1273, 1272
909, 1033, 1034, 1049, 1048, 1258, 1259, 1274, 1273
910, 1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274
911, 1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276
912, 1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277
913, 1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278
914, 1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279
915, 1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280
916, 1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281
917, 1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282
918, 1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283
919, 1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284
920, 1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285
921, 1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286
922, 1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287
923, 1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288
924, 1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289
925, 1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291
926, 1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292
927, 1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293
928, 1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294
929, 1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295
930, 1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296
931, 1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297
932, 1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298
933, 1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299
934, 1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300
935, 1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301
936, 1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302
937, 1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303
938, 1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304
939, 1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306
940, 1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307
941, 1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308
942, 1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309
943, 1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310
944, 1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311
945, 1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312
946, 1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313
947, 1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314
948, 1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315
949, 1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316
950, 1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317
951, 1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318
952, 1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319
953, 1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321
954, 1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322
955, 1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323
956, 1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324
957, 1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325
958, 1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326
959, 1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327
960, 1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328
961, 1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329
962, 1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330
963, 1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331
964, 1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332
965, 1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333
966, 1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334
967, 1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336
968, 1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337
969, 1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338
970, 1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339
971, 1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340
972, 1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341
973, 1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342
974, 1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343
975, 1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344
976, 1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345
977, 1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346
978, 1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347
979, 1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348
980, 1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349
981, 1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366
982, 1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367
983, 1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368
984, 1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369
985, 1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370
986, 1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371
987, 1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372
988, 1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373
989, 1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374
990, 1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375
991, 1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376
992, 1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377
993, 1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378
994, 1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379
995, 1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381
996, 1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382
997, 1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383
998, 1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384
999, 1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385
1000, 1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386
1001, 1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387
1002, 1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388
1003, 1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389
1004, 1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390
1005, 1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391
1006, 1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392
1007, 1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393
1008, 1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394
1009, 1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396
1010, 1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397
1011, 1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398
1012, 1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399
1013, 1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400
1014, 1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401
1015, 1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402
1016, 1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403
1017, 1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404
1018, 1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405
1019, 1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406
1020, 1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407
1021, 1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408
1022, 1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409
1023, 1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411
1024, 1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412
1025, 1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413
1026, 1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414
1027, 1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415
1028, 1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416
1029, 1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417
1030, 1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418
1031, 1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419
1032, 1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420
1033, 1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421
1034, 1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422
1035, 1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423
1036, 1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424
1037, 1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426
1038, 1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427
1039, 1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428
1040, 1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429
1041, 1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430
1042, 1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431
1043, 1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432
1044, 1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433
1045, 1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434
1046, 1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435
1047, 1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436
1048, 1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437
1049, 1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438
1050, 1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439
1051, 1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441
1052, 1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442
1053, 1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443
1054, 1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444
1055, 1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445
1056, 1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446
1057, 1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447
1058, 1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448
1059, 1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449
1060, 1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450
1061, 1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451
1062, 1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452
1063, 1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453
1064, 1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454
1065, 1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456
1066, 1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457
1067, 1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458
1068, 1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459
1069, 1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460
1070, 1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461
1071, 1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462
1072, 1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463
1073, 1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464
1074, 1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465
1075, 1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466
1076, 1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467
1077, 1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468
1078, 1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469
1079, 1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471
1080, 1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472
1081, 1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473
1082, 1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474
1083, 1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475
1084, 1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476
1085, 1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477
1086, 1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478
1087, 1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479
1088, 1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480
1089, 1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481
1090, 1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482
1091, 1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483
1092, 1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484
1093, 1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486
1094, 1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487
1095, 1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488
1096, 1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489
1097, 1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490
1098, 1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491
1099, 1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492
1100, 1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493
1101, 1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494
1102, 1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495
1103, 1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496
1104, 1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497
1105, 1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498
1106, 1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499
1107, 1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501
1108, 1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502
1109, 1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503
1110, 1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504
1111, 1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505
1112, 1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506
1113, 1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507
1114, 1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508
1115, 1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509
1116, 1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510
1117, 1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511
1118, 1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512
1119, 1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513
1120, 1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514
1121, 1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516
1122, 1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517
1123, 1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518
1124, 1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519
1125, 1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520
1126, 1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521
1127, 1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522
1128, 1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523
1129, 1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524
1130, 1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525
1131, 1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526
1132, 1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527
1133, 1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528
1134, 1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529
1135, 1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531
1136, 1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532
1137, 1293, 1294, 1309, 1308, 1518, 1519, 1534, 1533
1138, 1294, 1295, 1310, 1309, 1519, 1520, 1535, 1534
1139, 1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535
1140, 1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536
1141, 1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537
1142, 1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538
1143, 1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539
1144, 1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540
1145, 1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541
1146, 1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542
1147, 1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543
1148, 1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544
1149, 1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546
1150, 1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547
1151, 1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548
1152, 1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549
1153, 1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550
1154, 1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551
1155, 1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552
1156, 1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553
1157, 1314, 1315, 1330, 1329, 1539, 1540, 1555, 1554
1158, 1315, 1316, 1331, 1330, 1540, 1541, 1556, 1555
1159, 1316, 1317, 1332, 1331, 1541, 1542, 1557, 1556
1160, 1317, 1318, 1333, 1332, 1542, 1543, 1558, 1557
1161, 1318, 1319, 1334, 1333, 1543, 1544, 1559, 1558
1162, 1319, 1320, 1335, 1334, 1544, 1545, 1560, 1559
1163, 1321, 1322, 1337, 1336, 1546, 1547, 1562, 1561
1164, 1322, 1323, 1338, 1337, 1547, 1548, 1563, 1562
1165, 1323, 1324, 1339, 1338, 1548, 1549, 1564, 1563
1166, 1324, 1325, 1340, 1339, 1549, 1550, 1565, 1564
1167, 1325, 1326, 1341, 1340, 1550, 1551, 1566, 1565
1168, 1326, 1327, 1342, 1341, 1551, 1552, 1567, 1566
1169, 1327, 1328, 1343, 1342, 1552, 1553, 1568, 1567
1170, 1328, 1329, 1344, 1343, 1553, 1554, 1569, 1568
1171, 1329, 1330, 1345, 1344, 1554, 1555, 1570, 1569
1172, 1330, 1331, 1346, 1345, 1555, 1556, 1571, 1570
1173, 1331, 1332, 1347, 1346, 1556, 1557, 1572, 1571
1174, 1332, 1333, 1348, 1347, 1557, 1558, 1573, 1572
1175, 1333, 1334, 1349, 1348, 1558, 1559, 1574, 1573
1176, 1334, 1335, 1350, 1349, 1559, 1560, 1575, 1574
1177, 1351, 1352, 1367, 1366, 1576, 1577, 1592, 1591
1178, 1352, 1353, 1368, 1367, 1577, 1578, 1593, 1592
1179, 1353, 1354, 1369, 1368, 1578, 1579, 1594, 1593
1180, 1354, 1355, 1370, 1369, 1579, 1580, 1595, 1594
1181, 1355, 1356, 1371, 1370, 1580, 1581, 1596, 1595
1182, 1356, 1357, 1372, 1371, 1581, 1582, 1597, 1596
1183, 1357, 1358, 1373, 1372, 1582, 1583, 1598, 1597
1184, 1358, 1359, 1374, 1373, 1583, 1584, 1599, 1598
1185, 1359, 1360, 1375, 1374, 1584, 1585, 1600, 1599
1186, 1360, 1361, 1376, 1375, 1585, 1586, 1601, 1600
1187, 1361, 1362, 1377, 1376, 1586, 1587, 1602, 1601
1188, 1362, 1363, 1378, 1377, 1587, 1588, 1603, 1602
1189, 1363, 1364, 1379, 1378, 1588, 1589, 1604, 1603
1190, 1364, 1365, 1380, 1379, 1589, 1590, 1605, 1604
1191, 1366, 1367, 1382, 1381, 1591, 1592, 1607, 1606
1192, 1367, 1368, 1383, 1382, 1592, 1593, 1608, 1607
1193, 1368, 1369, 1384, 1383, 1593, 1594, 1609, 1608
1194, 1369, 1370, 1385, 1384, 1594, 1595, 1610, 1609
1195, 1370, 1371, 1386, 1385, 1595, 1596, 1611, 1610
1196, 1371, 1372, 1387, 1386, 1596, 1597, 1612, 1611
1197, 1372, 1373, 1388, 1387, 1597, 1598, 1613, 1612
1198, 1373, 1374, 1389, 1388, 1598, 1599, 1614, 1613
1199, 1374, 1375, 1390, 1389, 1599, 1600, 1615, 1614
1200, 1375, 1376, 1391, 1390, 1600, 1601, 1616, 1615
1201, 1376, 1377, 1392, 1391, 1601, 1602, 1617, 1616
1202, 1377, 1378, 1393, 1392, 1602, 1603, 1618, 1617
1203, 1378, 1379, 1394, 1393, 1603, 1604, 1619, 1618
1204, 1379, 1380, 1395, 1394, 1604, 1605, 1620, 1619
1205, 1381, 1382, 1397, 1396, 1606, 1607, 1622, 1621
1206, 1382, 1383, 1398, 1397, 1607, 1608, 1623, 1622
1207, 1383, 1384, 1399, 1398, 1608, 1609, 1624, 1623
1208, 1384, 1385, 1400, 1399, 1609, 1610, 1625, 1624
1209, 1385, 1386, 1401, 1400, 1610, 1611, 1626, 1625
1210, 1386, 1387, 1402, 1401, 1611, 1612, 1627, 1626
1211, 1387, 1388, 1403, 1402, 1612, 1613, 1628, 1627
1212, 1388, 1389, 1404, 1403, 1613, 1614, 1629, 1628
1213, 1389, 1390, 1405, 1404, 1614, 1615, 1630, 1629
1214, 1390, 1391, 1406, 1405, 1615, 1616, 1631, 1630
1215, 1391, 1392, 1407, 1406, 1616, 1617, 1632, 1631
1216, 1392, 1393, 1408, 1407, 1617, 1618, 1633, 1632
1217, 1393, 1394, 1409, 1408, 1618, 1619, 1634, 1633
1218, 1394, 1395, 1410, 1409, 1619, 1620, 1635, 1634
1219, 1396, 1397, 1412, 1411, 1621, 1622, 1637, 1636
1220, 1397, 1398, 1413, 1412, 1622, 1623, 1638, 1637
1221, 1398, 1399, 1414, 1413, 1623, 1624, 1639, 1638
1222, 1399, 1400, 1415, 1414, 1624, 1625, 1640, 1639
1223, 1400, 1401, 1416, 1415, 1625, 1626, 1641, 1640
1224, 1401, 1402, 1417, 1416, 1626, 1627, 1642, 1641
1225, 1402, 1403, 1418, 1417, 1627, 1628, 1643, 1642
1226, 1403, 1404, 1419, 1418, 1628, 1629, 1644, 1643
1227, 1404, 1405, 1420, 1419, 1629, 1630, 1645, 1644
1228, 1405, 1406, 1421, 1420, 1630, 1631, 1646, 1645
1229, 1406, 1407, 1422, 1421, 1631, 1632, 1647, 1646
1230, 1407, 1408, 1423, 1422, 1632, 1633, 1648, 1647
1231, 1408, 1409, 1424, 1423, 1633, 1634, 1649, 1648
1232, 1409, 1410, 1425, 1424, 1634, 1635, 1650, 1649
1233, 1411, 1412, 1427, 1426, 1636, 1637, 1652, 1651
1234, 1412, 1413, 1428, 1427, 1637, 1638, 1653, 1652
1235, 1413, 1414, 1429, 1428, 1638, 1639, 1654, 1653
1236, 1414, 1415, 1430, 1429, 1639, 1640, 1655, 1654
1237, 1415, 1416, 1431, 1430, 1640, 1641, 1656, 1655
1238, 1416, 1417, 1432, 1431, 1641, 1642, 1657, 1656
1239, 1417, 1418, 1433, 1432, 1642, 1643, 1658, 1657
1240, 1418, 1419, 1434, 1433, 1643, 1644, 1659, 1658
1241, 1419, 1420, 1435, 1434, 1644, 1645, 1660, 1659
1242, 1420, 1421, 1436, 1435, 1645, 1646, 1661, 1660
1243, 1421, 1422, 1437, 1436, 1646, 1647, 1662, 1661
1244, 1422, 1423, 1438, 1437, 1647, 1648, 1663, 1662
1245, 1423, 1424, 1439, 1438, 1648, 1649, 1664, 1663
1246, 1424, 1425, 1440, 1439, 1649, 1650, 1665, 1664
1247, 1426, 1427, 1442, 1441, 1651, 1652, 1667, 1666
1248, 1427, 1428, 1443, 1442, 1652, 1653, 1668, 1667
1249, 1428, 1429, 1444, 1443, 1653, 1654, 1669, 1668
1250, 1429, 1430, 1445, 1444, 1654, 1655, 1670, 1669
1251, 1430, 1431, 1446, 1445, 1655, 1656, 1671, 1670
1252, 1431, 1432, 1447, 1446, 1656, 1657, 1672, 1671
1253, 1432, 1433, 1448, 1447, 1657, 1658, 1673, 1672
1254, 1433, 1434, 1449, 1448, 1658, 1659, 1674, 1673
1255, 1434, 1435, 1450, 1449, 1659, 1660, 1675, 1674
1256, 1435, 1436, 1451, 1450, 1660, 1661, 1676, 1675
1257, 1436, 1437, 1452, 1451, 1661, 1662, 1677, 1676
1258, 1437, 1438, 1453, 1452, 1662, 1663, 1678, 1677
1259, 1438, 1439, 1454, 1453, 1663, 1664, 1679, 1678
1260, 1439, 1440, 1455, 1454, 1664, 1665, 1680, 1679
1261, 1441, 1442, 1457, 1456, 1666, 1667, 1682, 1681
1262, 1442, 1443, 1458, 1457, 1667, 1668, 1683, 1682
1263, 1443, 1444, 1459, 1458, 1668, 1669, 1684, 1683
1264, 1444, 1445, 1460, 1459, 1669, 1670, 1685, 1684
1265, 1445, 1446, 1461, 1460, 1670, 1671, 1686, 1685
1266, 1446, 1447, 1462, 1461, 1671, 1672, 1687, 1686
1267, 1447, 1448, 1463, 1462, 1672, 1673, 1688, 1687
1268, 1448, 1449, 1464, 1463, 1673, 1674, 1689, 1688
1269, 1449, 1450, 1465, 1464, 1674, 1675, 1690, 1689
1270, 1450, 1451, 1466, 1465, 1675, 1676, 1691, 1690
1271, 1451, 1452, 1467, 1466, 1676, 1677, 1692, 1691
1272, 1452, 1453, 1468, 1467, 1677, 1678, 1693, 1692
1273, 1453, 1454, 1469, 1468, 1678, 1679, 1694, 1693
1274, 1454, 1455, 1470, 1469, 1679, 1680, 1695, 1694
1275, 1456, 1457, 1472, 1471, 1681, 1682, 1697, 1696
1276, 1457, 1458, 1473, 1472, 1682, 1683, 1698, 1697
1277, 1458, 1459, 1474, 1473, 1683, 1684, 1699, 1698
1278, 1459, 1460, 1475, 1474, 1684, 1685, 1700, 1699
1279, 1460, 1461, 1476, 1475, 1685, 1686, 1701, 1700
1280, 1461, 1462, 1477, 1476, 1686, 1687, 1702, 1701
1281, 1462, 1463, 1478, 1477, 1687, 1688, 1703, 1702
1282, 1463, 1464, 1479, 1478, 1688, 1689, 1704, 1703
1283, 1464, 1465, 1480, 1479, 1689, 1690, 1705, 1704
1284, 1465, 1466, 1481, 1480, 1690, 1691, 1706, 1705
1285, 1466, 1467, 1482, 1481, 1691, 1692, 1707, 1706
1286, 1467, 1468, 1483, 1482, 1692, 1693, 1708, 1707
1287, 1468, 1469, 1484, 1483, 1693, 1694, 1709, 1708
1288, 1469, 1470, 1485, 1484, 1694, 1695, 1710, 1709
1289, 1471, 1472, 1487, 1486, 1696, 1697, 1712, 1711
1290, 1472, 1473, 1488, 1487, 1697, 1698, 1713, 1712
1291, 1473, 1474, 1489, 1488, 1698, 1699, 1714, 1713
1292, 1474, 1475, 1490, 1489, 1699, 1700, 1715, 1714
1293, 1475, 1476, 1491, 1490, 1700, 1701, 1716, 1715
1294, 1476, 1477, 1492, 1491, 1701, 1702, 1717, 1716
1295, 1477, 1478, 1493, 1492, 1702, 1703, 1718, 1717
1296, 1478, 1479, 1494, 1493, 1703, 1704, 1719, 1718
1297, 1479, 1480, 1495, 1494, 1704, 1705, 1720, 1719
1298, 1480, 1481, 1496, 1495, 1705, 1706, 1721, 1720
1299, 1481, 1482, 1497, 1496, 1706, 1707, 1722, 1721
1300, 1482, 1483, 1498, 1497, 1707, 1708, 1723, 1722
1301, 1483, 1484, 1499, 1498, 1708, 1709, 1724, 1723
1302, 1484, 1485, 1500, 1499, 1709, 1710, 1725, 1724
1303, 1486, 1487, 1502, 1501, 1711, 1712, 1727, 1726
1304, 1487, 1488, 1503, 1502, 1712, 1713, 1728, 1727
1305, 1488, 1489, 1504, 1503, 1713, 1714, 1729, 1728
1306, 1489, 1490, 1505, 1504, 1714, 1715, 1730, 1729
1307, 1490, 1491, 1506, 1505, 1715, 1716, 1731, 1730
1308, 1491, 1492, 1507, 1506, 1716, 1717, 1732, 1731
1309, 1492, 1493, 1508, 1507, 1717, 1718, 1733, 1732
1310, 1493, 1494, 1509, 1508, 1718, 1719, 1734, 1733
1311, 1494, 1495, 1510, 1509, 1719, 1720, 1735, 1734
1312, 1495, 1496, 1511, 1510, 1720, 1721, 1736, 1735
1313, 1496, 1497, 1512, 1511, 1721, 1722, 1737, 1736
1314, 1497, 1498, 1513, 1512, 1722, 1723, 1738, 1737
1315, 1498, 1499, 1514, 1513, 1723, 1724, 1739, 1738
1316, 1499, 1500, 1515, 1514, 1724, 1725, 1740, 1739
1317, 1501, 1502, 1517, 1516, 1726, 1727, 1742, 1741
1318, 1502, 1503, 1518, 1517, 1727, 1728, 1743, 1742
1319, 1503, 1504, 1519, 1518, 1728, 1729, 1744, 1743
1320, 1504, 1505, 1520, 1519, 1729, 1730, 1745, 1744
1321, 1505, 1506, 1521, 1520, 1730, 1731, 1746, 1745
1322, 1506, 1507, 1522, 1521, 1731, 1732, 1747, 1746
1323, 1507, 1508, 1523, 1522, 1732, 1733, 1748, 1747
1324, 1508, 1509, 1524, 1523, 1733, 1734, 1749, 1748
1325, 1509, 1510, 1525, 1524, 1734, 1735, 1750, 1749
1326, 1510, 1511, 1526, 1525, 1735, 1736, 1751, 1750
1327, 1511, 1512, 1527, 1526, 1736, 1737, 1752, 1751
1328, 1512, 1513, 1528, 1527, 1737, 1738, 1753, 1752
1329, 1513, 1514, 1529, 1528, 1738, 1739, 1754, 1753
1330, 1514, 1515, 1530, 1529, 1739, 1740, 1755, 1754
1331, 1516, 1517, 1532, 1531, 1741, 1742, 1757, 1756
1332, 1517, 1518, 1533, 1532, 1742, 1743, 1758, 1757
1333, 1518, 1519, 1534, 1533, 1743, 1744, 1759, 1758
1334, 1519, 1520, 1535, 1534, 1744, 1745, 1760, 1759
1335, 1520, 1521, 1536, 1535, 1745, 1746, 1761, 1760
1336, 1521, 1522, 1537, 1536, 1746, 1747, 1762, 1761
1337, 1522, 1523, 1538, 1537, 1747, 1748, 1763, 1762
1338, 1523, 1524, 1539, 1538, 1748, 1749, 1764, 1763
1339, 1524, 1525, 1540, 1539, 1749, 1750, 1765, 1764
1340, 1525, 1526, 1541, 1540, 1750, 1751, 1766, 1765
1341, 1526, 1527, 1542, 1541, 1751, 1752, 1767, 1766
1342, 1527, 1528, 1543, 1542, 1752, 1753, 1768, 1767
1343, 1528, 1529, 1544, 1543, 1753, 1754, 1769, 1768
1344, 1529, 1530, 1545, 1544, 1754, 1755, 1770, 1769
1345, 1531, 1532, 1547, 1546, 1756, 1757, 1772, 1771
1346, 1532, 1533, 1548, 1547, 1757, 1758, 1773, 1772
1347, 1533, 1534, 1549, 1548, 1758, 1759, 1774, 1773
1348, 1534, 1535, 1550, 1549, 1759, 1760, 1775, 1774
1349, 1535, 1536, 1551, 1550, 1760, 1761, 1776, 1775
1350, 1536, 1537, 1552, 1551, 1761, 1762, 1777, 1776
1351, 1537, 1538, 1553, 1552, 1762, 1763, 1778, 1777
1352, 1538, 1539, 1554, 1553, 1763, 1764, 1779, 1778
1353, 1539, 1540, 1555, 1554, 1764, 1765, 1780, 1779
1354, 1540, 1541, 1556, 1555, 1765, 1766, 1781, 1780
1355, 1541, 1542, 1557, 1556, 1766, 1767, 1782, 1781
1356, 1542, 1543, 1558, 1557, 1767, 1768, 1783, 1782
1357, 1543, 1544, 1559, 1558, 1768, 1769, 1784, 1783
1358, 1544, 1545, 1560, 1559, 1769, 1770, 1785, 1784
1359, 1546, 1547, 1562, 1561, 1771, 1772, 1787, 1786
1360, 1547, 1548, 1563, 1562, 1772, 1773, 1788, 1787
1361, 1548, 1549, 1564, 1563, 1773, 1774, 1789, 1788
1362, 1549, 1550, 1565, 1564, 1774, 1775, 1790, 1789
1363, 1550, 1551, 1566, 1565, 1775, 1776, 1791, 1790
1364, 1551, 1552, 1567, 1566, 1776, 1777, 1792, 1791
1365, 1552, 1553, 1568, 1567, 1777, 1778, 1793, 1792
1366, 1553, 1554, 1569, 1568, 1778, 1779, 1794, 1793
1367, 1554, 1555, 1570, 1569, 1779, 1780, 1795, 1794
1368, 1555, 1556, 1571, 1570, 1780, 1781, 1796, 1795
1369, 1556, 1557, 1572, 1571, 1781, 1782, 1797, 1796
1370, 1557, 1558, 1573, 1572, 1782, 1783, 1798, 1797
1371, 1558, 1559, 1574, 1573, 1783, 1784, 1799, 1798
1372, 1559, 1560, 1575, 1574, 1784, 1785, 1800, 1799
1373, 1576, 1577, 1592, 1591, 1801, 1802, 1817, 1816
1374, 1577, 1578, 1593, 1592, 1802, 1803, 1818, 1817
1375, 1578, 1579, 1594, 1593, 1803, 1804, 1819, 1818
1376, 1579, 1580, 1595, 1594, 1804, 1805, 1820, 1819
1377, 1580, 1581, 1596, 1595, 1805, 1806, 1821, 1820
1378, 1581, 1582, 1597, 1596, 1806, 1807, 1822, 1821
1379, 1582, 1583, 1598, 1597, 1807, 1808, 1823, 1822
1380, 1583, 1584, 1599, 1598, 1808, 1809, 1824, 1823
1381, 1584, 1585, 1600, 1599, 1809, 1810, 1825, 1824
1382, 1585, 1586, 1601, 1600, 1810, 1811, 1826, 1825
1383, 1586, 1587, 1602, 1601, 1811, 1812, 1827, 1826
1384, 1587, 1588, 1603, 1602, 1812, 1813, 1828, 1827
1385, 1588, 1589, 1604, 1603, 1813, 1814, 1829, 1828
1386, 1589, 1590, 1605, 1604, 1814, 1815, 1830, 1829
1387, 1591, 1592, 1607, 1606, 1816, 1817, 1832, 1831
1388, 1592, 1593, 1608, 1607, 1817, 1818, 1833, 1832
1389, 1593, 1594, 1609, 1608, 1818, 1819, 1834, 1833
1390, 1594, 1595, 1610, 1609, 1819, 1820, 1835, 1834
1391, 1595, 1596, 1611, 1610, 1820, 1821, 1836, 1835
1392, 1596, 1597, 1612, 1611, 1821, 1822, 1837, 1836
1393, 1597, 1598, 1613, 1612, 1822, 1823, 1838, 1837
1394, 1598, 1599, 1614, 1613, 1823, 1824, 1839, 1838
1395, 1599, 1600, 1615, 1614, 1824, 1825, 1840, 1839
1396, 1600, 1601, 1616, 1615, 1825, 1826, 1841, 1840
1397, 1601, 1602, 1617, 1616, 1826, 1827, 1842, 1841
1398, 1602, 1603, 1618, 1617, 1827, 1828, 1843, 1842
1399, 1603, 1604, 1619, 1618, 1828, 1829, 1844, 1843
1400, 1604, 1605, 1620, 1619, 1829, 1830, 1845, 1844
1401, 1606, 1607, 1622, 1621, 1831, 1832, 1847, 1846
1402, 1607, 1608, 1623, 1622, 1832, 1833, 1848, 1847
1403, 1608, 1609, 1624, 1623, 1833, 1834, 1849, 1848
1404, 1609, 1610, 1625, 1624, 1834, 1835, 1850, 1849
1405, 1610, 1611, 1626, 1625, 1835, 1836, 1851, 1850
1406, 1611, 1612, 1627, 1626, 1836, 1837, 1852, 1851
1407, 1612, 1613, 1628, 1627, 1837, 1838, 1853, 1852
1408, 1613, 1614, 1629, 1628, 1838, 1839, 1854, 1853
1409, 1614, 1615, 1630, 1629, 1839, 1840, 1855, 1854
1410, 1615, 1616, 1631, 1630, 1840, 1841, 1856, 1855
1411, 1616, 1617, 1632, 1631, 1841, 1842, 1857, 1856
1412, 1617, 1618, 1633, 1632, 1842, 1843, 1858, 1857
1413, 1618, 1619, 1634, 1633, 1843, 1844, 1859, 1858
1414, 1619, 1620, 1635, 1634, 1844, 1845, 1860, 1859
1415, 1621, 1622, 1637, 1636, 1846, 1847, 1862, 1861
1416, 1622, 1623, 1638, 1637, 1847, 1848, 1863, 1862
1417, 1623, 1624, 1639, 1638, 1848, 1849, 1864, 1863
1418, 1624, 1625, 1640, 1639, 1849, 1850, 1865, 1864
1419, 1625, 1626, 1641, 1640, 1850, 1851, 1866, 1865
1420, 1626, 1627, 1642, 1641, 1851, 1852, 1867, 1866
1421, 1627, 1628, 1643, 1642, 1852, 1853, 1868, 1867
1422, 1628, 1629, 1644, 1643, 1853, 1854, 1869, 1868
1423, 1629, 1630, 1645, 1644, 1854, 1855, 1870, 1869
1424, 1630, 1631, 1646, 1645, 1855, 1856, 1871, 1870
1425, 1631, 1632, 1647, 1646, 1856, 1857, 1872, 1871
1426, 1632, 1633, 1648, 1647, 1857, 1858, 1873, 1872
1427, 1633, 1634, 1649, 1648, 1858, 1859, 1874, 1873
1428, 1634, 1635, 1650, 1649, 1859, 1860, 1875, 1874
1429, 1636, 1637, 1652, 1651, 1861, 1862, 1877, 1876
1430, 1637, 1638, 1653, 1652, 1862, 1863, 1878, 1877
1431, 1638, 1639, 1654, 1653, 1863, 1864, 1879, 1878
1432, 1639, 1640, 1655, 1654, 1864, 1865, 1880, 1879
1433, 1640, 1641, 1656, 1655, 1865, 1866, 1881, 1880
1434, 1641, 1642, 1657, 1656, 1866, 1867, 1882, 1881
1435, 1642, 1643, 1658, 1657, 1867, 1868, 1883, 1882
1436, 1643, 1644, 1659, 1658, 1868, 1869, 1884, 1883
1437, 1644, 1645, 1660, 1659, 1869, 1870, 1885, 1884
1438, 1645, 1646, 1661, 1660, 1870, 1871, 1886, 1885
1439, 1646, 1647, 1662, 1661, 1871, 1872, 1887, 1886
1440, 1647, 1648, 1663, 1662, 1872, 1873, 1888, 1887
1441, 1648, 1649, 1664, 1663, 1873, 1874, 1889, 1888
1442, 1649, 1650, 1665, 1664, 1874, 1875, 1890, 1889
1443, 1651, 1652, 1667, 1666, 1876, 1877, 1892, 1891
1444, 1652, 1653, 1668, 1667, 1877, 1878, 1893, 1892
1445, 1653, 1654, 1669, 1668, 1878, 1879, 1894, 1893
1446, 1654, 1655, 1670, 1669, 1879, 1880, 1895, 1894
1447, 1655, 1656, 1671, 1670, 1880, 1881, 1896, 1895
1448, 1656, 1657, 1672, 1671, 1881, 1882, 1897, 1896
1449, 1657, 1658, 1673, 1672, 1882, 1883, 1898, 1897
1450, 1658, 1659, 1674, 1673, 1883, 1884, 1899, 1898
1451, 1659, 1660, 1675, 1674, 1884, 1885, 1900, 1899
1452, 1660, 1661, 1676, 1675, 1885, 1886, 1901, 1900
1453, 1661, 1662, 1677, 1676, 1886, 1887, 1902, 1901
1454, 1662, 1663, 1678, 1677, 1887, 1888, 1903, 1902
1455, 1663, 1664, 1679, 1678, 1888, 1889, 1904, 1903
1456, 1664, 1665, 1680, 1679, 1889, 1890, 1905, 1904
1457, 1666, 1667, 1682, 1681, 1891, 1892, 1907, 1906
1458, 1667, 1668, 1683, 1682, 1892, 1893, 1908, 1907
1459, 1668, 1669, 1684, 1683, 1893, 1894, 1909, 1908
1460, 1669, 1670, 1685, 1684, 1894, 1895, 1910, 1909
1461, 1670, 1671, 1686, 1685, 1895, 1896, 1911, 1910
1462, 1671, 1672, 1687, 1686, 1896, 1897, 1912, 1911
1463, 1672, 1673, 1688, 1687, 1897, 1898, 1913, 1912
1464, 1673, 1674, 1689, 1688, 1898, 1899, 1914, 1913
1465, 1674, 1675, 1690, 1689, 1899, 1900, 1915, 1914
1466, 1675, 1676, 1691, 1690, 1900, 1901, 1916, 1915
1467, 1676, 1677, 1692, 1691, 1901, 1902, 1917, 1916
1468, 1677, 1678, 1693, 1692, 1902, 1903, 1918, 1917
1469, 1678, 1679, 1694, 1693, 1903, 1904, 1919, 1918
1470, 1679, 1680, 1695, 1694, 1904, 1905, 1920, 1919
1471, 1681, 1682, 1697, 1696, 1906, 1907, 1922, 1921
1472, 1682, 1683, 1698, 1697, 1907, 1908, 1923, 1922
1473, 1683, 1684, 1699, 1698, 1908, 1909, 1924, 1923
1474, 1684, 1685, 1700, 1699, 1909, 1910, 1925, 1924
1475, 1685, 1686, 1701, 1700, 1910, 1911, 1926, 1925
1476, 1686, 1687, 1702, 1701, 1911, 1912, 1927, 1926
1477, 1687, 1688, 1703, 1702, 1912, 1913, 1928, 1927
1478, 1688, 1689, 1704, 1703, 1913, 1914, 1929, 1928
1479, 1689, 1690, 1705, 1704, 1914, 1915, 1930, 1929
1480, 1690, 1691, 1706, 1705, 1915, 1916, 1931, 1930
1481, 1691, 1692, 1707, 1706, 1916, 1917, 1932, 1931
1482, 1692, 1693, 1708, 1707, 1917, 1918, 1933, 1932
1483, 1693, 1694, 1709, 1708, 1918, 1919, 1934, 1933
1484, 1694, 1695, 1710, 1709, 1919, 1920, 1935, 1934
1485, 1696, 1697, 1712, 1711, 1921, 1922, 1937, 1936
1486, 1697, 1698, 1713, 1712, 1922, 1923, 1938, 1937
1487, 1698, 1699, 1714, 1713, 1923, 1924, 1939, 1938
1488, 1699, 1700, 1715, 1714, 1924, 1925, 1940, 1939
1489, 1700, 1701, 1716, 1715, 1925, 1926, 1941, 1940
1490, 1701, 1702, 1717, 1716, 1926, 1927, 1942, 1941
1491, 1702, 1703, 1718, 1717, 1927, 1928, 1943, 1942
1492, 1703, 1704, 1719, 1718, 1928, 1929, 1944, 1943
1493, 1704, 1705, 1720, 1719, 1929, 1930, 1945, 1944
1494, 1705, 1706, 1721, 1720, 1930, 1931, 1946, 1945
1495, 1706, 1707, 1722, 1721, 1931, 1932, 1947, 1946
1496, 1707, 1708, 1723, 1722, 1932, 1933, 1948, 1947
1497, 1708, 1709, 1724, 1723, 1933, 1934, 1949, 1948
1498, 1709, 1710, 1725, 1724, 1934, 1935, 1950, 1949
1499, 1711, 1712, 1727, 1726, 1936, 1937, 1952, 1951
1500, 1712, 1713, 1728, 1727, 1937, 1938, 1953, 1952
1501, 1713, 1714, 1729, 1728, 1938, 1939, 1954, 1953
1502, 1714, 1715, 1730, 1729, 1939, 1940, 1955, 1954
1503, 1715, 1716, 1731, 1730, 1940, 1941, 1956, 1955
1504, 1716, 1717, 1732, 1731, 1941, 1942, 1957, 1956
1505, 1717, 1718, 1733, 1732, 1942, 1943, 1958, 1957
1506, 1718, 1719, 1734, 1733, 1943, 1944, 1959, 1958
1507, 1719, 1720, 1735, 1734, 1944, 1945, 1960, 1959
1508, 1720, 1721, 1736, 1735, 1945, 1946, 1961, 1960
1509, 1721, 1722, 1737, 1736, 1946, 1947, 1962, 1961
1510, 1722, 1723, 1738, 1737, 1947, 1948, 1963, 1962
1511, 1723, 1724, 1739, 1738, 1948, 1949, 1964, 1963
1512, 1724, 1725, 1740, 1739, 1949, 1950, 1965, 1964
1513, 1726, 1727, 1742, 1741, 1951, 1952, 1967, 1966
1514, 1727, 1728, 1743, 1742, 1952, 1953, 1968, 1967
1515, 1728, 1729, 1744, 1743, 1953, 1954, 1969, 1968
1516, 1729, 1730, 1745, 1744, 1954, 1955, 1970, 1969
1517, 1730, 1731, 1746, 1745, 1955, 1956, 1971, 1970
1518, 1731, 1732, 1747, 1746, 1956, 1957, 1972, 1971
1519, 1732, 1733, 1748, 1747, 1957, 1958, 1973, 1972
1520, 1733, 1734, 1749, 1748, 1958, 1959, 1974, 1973
1521, 1734, 1735, 1750, 1749, 1959, 1960, 1975, 1974
1522, 1735, 1736, 1751, 1750, 1960, 1961, 1976, 1975
1523, 1736, 1737, 1752, 1751, 1961, 1962, 1977, 1976
1524, 1737, 1738, 1753, 1752, 1962, 1963, 1978, 1977
1525, 1738, 1739, 1754, 1753, 1963, 1964, 1979, 1978
1526, 1739, 1740, 1755, 1754, 1964, 1965, 1980, 1979
1527, 1741, 1742, 1757, 1756, 1966, 1967, 1982, 1981
1528, 1742, 1743, 1758, 1757, 1967, 1968, 1983, 1982
1529, 1743, 1744, 1759, 1758, 1968, 1969, 1984, 1983
1530, 1744, 1745, 1760, 1759, 1969, 1970, 1985, 1984
1531, 1745, 1746, 1761, 1760, 1970, 1971, 1986, 1985
1532, 1746, 1747, 1762, 1761, 1971, 1972, 1987, 1986
1533, 1747, 1748, 1763, 1762, 1972, 1973, 1988, 1987
1534, 1748, 1749, 1764, 1763, 1973, 1974, 1989, 1988
1535, 1749, 1750, 1765, 1764, 1974, 1975, 1990, 1989
1536, 1750, 1751, 1766, 1765, 1975, 1976, 1991, 1990
1537, 1751, 1752, 1767, 1766, 1976, 1977, 1992, 1991
1538, 1752, 1753, 1768, 1767, 1977, 1978, 1993, 1992
1539, 1753, 1754, 1769, 1768, 1978, 1979, 1994, 1993
1540, 1754, 1755, 1770, 1769, 1979, 1980, 1995, 1994
1541, 1756, 1757, 1772, 1771, 1981, 1982, 1997, 1996
1542, 1757, 1758, 1773, 1772, 1982, 1983, 1998, 1997
1543, 1758, 1759, 1774, 1773, 1983, 1984, 1999, 1998
1544, 1759, 1760, 1775, 1774, 1984, 1985, 2000, 1999
1545, 1760, 1761, 1776, 1775, 1985, 1986, 2001, 2000
1546, 1761, 1762, 1777, 1776, 1986, 1987, 2002, 2001
1547, 1762, 1763, 1778, 1777, 1987, 1988, 2003, 2002
1548, 1763, 1764, 1779, 1778, 1988, 1989, 2004, 2003
1549, 1764, 1765, 1780, 1779, 1989, 1990, 2005, 2004
1550, 1765, 1766, 1781, 1780, 1990, 1991, 2006, 2005
1551, 1766, 1767, 1782, 1781, 1991, 1992, 2007, 2006
1552, 1767, 1768, 1783, 1782, 1992, 1993, 2008, 2007
1553, 1768, 1769, 1784, 1783, 1993, 1994, 2009, 2008
1554, 1769, 1770, 1785, 1784, 1994, 1995, 2010, 2009
1555, 1771, 1772, 1787, 1786, 1996, 1997, 2012, 2011
1556, 1772, 1773, 1788, 1787, 1997, 1998, 2013, 2012
1557, 1773, 1774, 1789, 1788, 1998, 1999, 2014, 2013
1558, 1774, 1775, 1790, 1789, 1999, 2000, 2015, 2014
1559, 1775, 1776, 1791, 1790, 2000, 2001, 2016, 2015
1560, 1776, 1777, 1792, 1791, 2001, 2002, 2017, 2016
1561, 1777, 1778, 1793, 1792, 2002, 2003, 2018, 2017
1562, 1778, 1779, 1794, 1793, 2003, 2004, 2019, 2018
1563, 1779, 1780, 1795, 1794, 2004, 2005, 2020, 2019
1564, 1780, 1781, 1796, 1795, 2005, 2006, 2021, 2020
1565, 1781, 1782, 1797, 1796, 2006, 2007, 2022, 2021
1566, 1782, 1783, 1798, 1797, 2007, 2008, 2023, 2022
1567, 1783, 1784, 1799, 1798, 2008, 2009, 2024, 2023
1568, 1784, 1785, 1800, 1799, 2009, 2010, 2025, 2024
1569, 1801, 1802, 1817, 1816, 2026, 2027, 2042, 2041
1570, 1802, 1803, 1818, 1817, 2027, 2028, 2043, 2042
1571, 1803, 1804, 1819, 1818, 2028, 2029, 2044, 2043
1572, 1804, 1805, 1820, 1819, 2029, 2030, 2045, 2044
1573, 1805, 1806, 1821, 1820, 2030, 2031, 2046, 2045
1574, 1806, 1807, 1822, 1821, 2031, 2032, 2047, 2046
1575, 1807, 1808, 1823, 1822, 2032, 2033, 2048, 2047
1576, 1808, 1809, 1824, 1823, 2033, 2034, 2049, 2048
1577, 1809, 1810, 1825, 1824, 2034, 2035, 2050, 2049
1578, 1810, 1811, 1826, 1825, 2035, 2036, 2051, 2050
1579, 1811, 1812, 1827, 1826, 2036, 2037, 2052, 2051
1580, 1812, 1813, 1828, 1827, 2037, 2038, 2053, 2052
1581, 1813, 1814, 1829, 1828, 2038, 2039, 2054, 2053
1582, 1814, 1815, 1830, 1829, 2039, 2040, 2055, 2054
1583, 1816, 1817, 1832, 1831, 2041, 2042, 2057, 2056
1584, 1817, 1818, 1833, 1832, 2042, 2043, 2058, 2057
1585, 1818, 1819, 1834, 1833, 2043, 2044, 2059, 2058
1586, 1819, 1820, 1835, 1834, 2044, 2045, 2060, 2059
1587, 1820, 1821, 1836, 1835, 2045, 2046, 2061, 2060
1588, 1821, 1822, 1837, 1836, 2046, 2047, 2062, 2061
1589, 1822, 1823, 1838, 1837, 2047, 2048, 2063, 2062
1590, 1823, 1824, 1839, 1838, 2048, 2049, 2064, 2063
1591, 1824, 1825, 1840, 1839, 2049, 2050, 2065, 2064
1592, 1825, 1826, 1841, 1840, 2050, 2051, 2066, 2065
1593, 1826, 1827, 1842, 1841, 2051, 2052, 2067, 2066
1594, 1827, 1828, 1843, 1842, 2052, 2053, 2068, 2067
1595, 1828, 1829, 1844, 1843, 2053, 2054, 2069, 2068
1596, 1829, 1830, 1845, 1844, 2054, 2055, 2070, 2069
1597, 1831, 1832, 1847, 1846, 2056, 2057, 2072, 2071
1598, 1832, 1833, 1848, 1847, 2057, 2058, 2073, 2072
1599, 1833, 1834, 1849, 1848, 2058, 2059, 2074, 2073
1600, 1834, 1835, 1850, 1849, 2059, 2060, 2075, 2074
1601, 1835, 1836, 1851, 1850, 2060, 2061, 2076, 2075
1602, 1836, 1837, 1852, 1851, 2061, 2062, 2077, 2076
1603, 1837, 1838, 1853, 1852, 2062, 2063, 2078, 2077
1604, 1838, 1839, 1854, 1853, 2063, 2064, 2079, 2078
1605, 1839, 1840, 1855, 1854, 2064, 2065, 2080, 2079
1606, 1840, 1841, 1856, 1855, 2065, 2066, 2081, 2080
1607, 1841, 1842, 1857, 1856, 2066, 2067, 2082, 2081
1608, 1842, 1843, 1858, 1857, 2067, 2068, 2083, 2082
1609, 1843, 1844, 1859, 1858, 2068, 2069, 2084, 2083
1610, 1844, 1845, 1860, 1859, 2069, 2070, 2085, 2084
1611, 1846, 1847, 1862, 1861, 2071, 2072, 2087, 2086
1612, 1847, 1848, 1863, 1862, 2072, 2073, 2088, 2087
1613, 1848, 1849, 1864, 1863, 2073, 2074, 2089, 2088
1614, 1849, 1850, 1865, 1864, 2074, 2075, 2090, 2089
1615, 1850, 1851, 1866, 1865, 2075, 2076, 2091, 2090
1616, 1851, 1852, 1867, 1866, 2076, 2077, 2092, 2091
1617, 1852, 1853, 1868, 1867, 2077, 2078, 2093, 2092
1618, 1853, 1854, 1869, 1868, 2078, 2079, 2094, 2093
1619, 1854, 1855, 1870, 1869, 2079, 2080, 2095, 2094
1620, 1855, 1856, 1871, 1870, 2080, 2081, 2096, 2095
1621, 1856, 1857, 1872, 1871, 2081, 2082, 2097, 2096
1622, 1857, 1858, 1873, 1872, 2082, 2083, 2098, 2097
1623, 1858, 1859, 1874, 1873, 2083, 2084, 2099, 2098
1624, 1859, 1860, 1875, 1874, 2084, 2085, 2100, 2099
1625, 1861, 1862, 1877, 1876, 2086, 2087, 2102, 2101
1626, 1862, 1863, 1878, 1877, 2087, 2088, 2103, 2102
1627, 1863, 1864, 1879, 1878, 2088, 2089, 2104, 2103
1628, 1864, 1865, 1880, 1879, 2089, 2090, 2105, 2104
1629, 1865, 1866, 1881, 1880, 2090, 2091, 2106, 2105
1630, 1866, 1867, 1882, 1881, 2091, 2092, 2107, 2106
1631, 1867, 1868, 1883, 1882, 2092, 2093, 2108, 2107
1632, 1868, 1869, 1884, 1883, 2093, 2094, 2109, 2108
1633, 1869, 1870, 1885, 1884, 2094, 2095, 2110, 2109
1634, 1870, 1871, 1886, 1885, 2095, 2096, 2111, 2110
1635, 1871, 1872, 1887, 1886, 2096, 2097, 2112, 2111
1636, 1872, 1873, 1888, 1887, 2097, 2098, 2113, 2112
1637, 1873, 1874, 1889, 1888, 2098, 2099, 2114, 2113
1638, 1874, 1875, 1890, 1889, 2099, 2100, 2115, 2114
1639, 1876, 1877, 1892, 1891, 2101, 2102, 2117, 2116
1640, 1877, 1878, 1893, 1892, 2102, 2103, 2118, 2117
1641, 1878, 1879, 1894, 1893, 2103, 2104, 2119, 2118
1642, 1879, 1880, 1895, 1894, 2104, 2105, 2120, 2119
1643, 1880, 1881, 1896, 1895, 2105, 2106, 2121, 2120
1644, 1881, 1882, 1897, 1896, 2106, 2107, 2122, 2121
1645, 1882, 1883, 1898, 1897, 2107, 2108, 2123, 2122
1646, 1883, 1884, 1899, 1898, 2108, 2109, 2124, 2123
1647, 1884, 1885, 1900, 1899, 2109, 2110, 2125, 2124
1648, 1885, 1886, 1901, 1900, 2110, 2111, 2126, 2125
1649, 1886, 1887, 1902, 1901, 2111, 2112, 2127, 2126
1650, 1887, 1888, 1903, 1902, 2112, 2113, 2128, 2127
1651, 1888, 1889, 1904, 1903, 2113, 2114, 2129, 2128
1652, 1889, 1890, 1905, 1904, 2114, 2115, 2130, 2129
1653, 1891, 1892, 1907, 1906, 2116, 2117, 2132, 2131
1654, 1892, 1893, 1908, 1907, 2117, 2118, 2133, 2132
1655, 1893, 1894, 1909, 1908, 2118, 2119, 2134, 2133
1656, 1894, 1895, 1910, 1909, 2119, 2120, 2135, 2134
1657, 1895, 1896, 1911, 1910, 2120, 2121, 2136, 2135
1658, 1896, 1897, 1912, 1911, 2121, 2122, 2137, 2136
1659, 1897, 1898, 1913, 1912, 2122, 2123, 2138, 2137
1660, 1898, 1899, 1914, 1913, 2123, 2124, 2139, 2138
1661, 1899, 1900, 1915, 1914, 2124, 2125, 2140, 2139
1662, 1900, 1901, 1916, 1915, 2125, 2126, 2141, 2140
1663, 1901, 1902, 1917, 1916, 2126, 2127, 2142, 2141
1664, 1902, 1903, 1918, 1917, 2127, 2128, 2143, 2142
1665, 1903, 1904, 1919, 1918, 2128, 2129, 2144, 2143
1666, 1904, 1905, 1920, 1919, 2129, 2130, 2145, 2144
1667, 1906, 1907, 1922, 1921, 2131, 2132, 2147, 2146
1668, 1907, 1908, 1923, 1922, 2132, 2133, 2148, 2147
1669, 1908, 1909, 1924, 1923, 2133, 2134, 2149, 2148
1670, 1909, 1910, 1925, 1924, 2134, 2135, 2150, 2149
1671, 1910, 1911, 1926, 1925, 2135, 2136, 2151, 2150
1672, 1911, 1912, 1927, 1926, 2136, 2137, 2152, 2151
1673, 1912, 1913, 1928, 1927, 2137, 2138, 2153, 2152
1674, 1913, 1914, 1929, 1928, 2138, 2139, 2154, 2153
1675, 1914, 1915, 1930, 1929, 2139, 2140, 2155, 2154
1676, 1915, 1916, 1931, 1930, 2140, 2141, 2156, 2155
1677, 1916, 1917, 1932, 1931, 2141, 2142, 2157, 2156
1678, 1917, 1918, 1933, 1932, 2142, 2143, 2158, 2157
1679, 1918, 1919, 1934, 1933, 2143, 2144, 2159, 2158
1680, 1919, 1920, 1935, 1934, 2144, 2145, 2160, 2159
1681, 1921, 1922, 1937, 1936, 2146, 2147, 2162, 2161
1682, 1922, 1923, 1938, 1937, 2147, 2148, 2163, 2162
1683, 1923, 1924, 1939, 1938, 2148, 2149, 2164, 2163
1684, 1924, 1925, 1940, 1939, 2149, 2150, 2165, 2164
1685, 1925, 1926, 1941, 1940, 2150, 2151, 2166, 2165
1686, 1926, 1927, 1942, 1941, 2151, 2152, 2167, 2166
1687, 1927, 1928, 1943, 1942, 2152, 2153, 2168, 2167
1688, 1928, 1929, 1944, 1943, 2153, 2154, 2169, 2168
1689, 1929, 1930, 1945, 1944, 2154, 2155, 2170, 2169
1690, 1930, 1931, 1946, 1945, 2155, 2156, 2171, 2170
1691, 1931, 1932, 1947, 1946, 2156, 2157, 2172, 2171
1692, 1932, 1933, 1948, 1947, 2157, 2158, 2173, 2172
1693, 1933, 1934, 1949, 1948, 2158, 2159, 2174, 2173
1694, 1934, 1935, 1950, 1949, 2159, 2160, 2175, 2174
1695, 1936, 1937, 1952, 1951, 2161, 2162, 2177, 2176
1696, 1937, 1938, 1953, 1952, 2162, 2163, 2178, 2177
1697, 1938, 1939, 1954, 1953, 2163, 2164, 2179, 2178
1698, 1939, 1940, 1955, 1954, 2164, 2165, 2180, 2179
1699, 1940, 1941, 1956, 1955, 2165, 2166, 2181, 2180
1700, 1941, 1942, 1957, 1956, 2166, 2167, 2182, 2181
1701, 1942, 1943, 1958, 1957, 2167, 2168, 2183, 2182
1702, 1943, 1944, 1959, 1958, 2168, 2169, 2184, 2183
1703, 1944, 1945, 1960, 1959, 2169, 2170, 2185, 2184
1704, 1945, 1946, 1961, 1960, 2170, 2171, 2186, 2185
1705, 1946, 1947, 1962, 1961, 2171, 2172, 2187, 2186
1706, 1947, 1948, 1963, 1962, 2172, 2173, 2188, 2187
1707, 1948, 1949, 1964, 1963, 2173, 2174, 2189, 2188
1708, 1949, 1950, 1965, 1964, 2174, 2175, 2190, 2189
1709, 1951, 1952, 1967, 1966, 2176, 2177, 2192, 2191
1710, 1952, 1953, 1968, 1967, 2177, 2178, 2193, 2192
1711, 1953, 1954, 1969, 1968, 2178, 2179, 2194, 2193
1712, 1954, 1955, 1970, 1969, 2179, 2180, 2195, 2194
1713, 1955, 1956, 1971, 1970, 2180, 2181, 2196, 2195
1714, 1956, 1957, 1972, 1971, 2181, 2182, 2197, 2196
1715, 1957, 1958, 1973, 1972, 2182, 2183, 2198, 2197
1716, 1958, 1959, 1974, 1973, 2183, 2184, 2199, 2198
1717, 1959, 1960, 1975, 1974, 2184, 2185, 2200, 2199
1718, 1960, 1961, 1976, 1975, 2185, 2186, 2201, 2200
1719, 1961, 1962, 1977, 1976, 2186, 2187, 2202, 2201
1720, 1962, 1963, 1978, 1977, 2187, 2188, 2203, 2202
1721, 1963, 1964, 1979, 1978, 2188, 2189, 2204, 2203
1722, 1964, 1965, 1980, 1979, 2189, 2190, 2205, 2204
1723, 1966, 1967, 1982, 1981, 2191, 2192, 2207, 2206
1724, 1967, 1968, 1983, 1982, 2192, 2193, 2208, 2207
1725, 1968, 1969, 1984, 1983, 2193, 2194, 2209, 2208
1726, 1969, 1970, 1985, 1984, 2194, 2195, 2210, 2209
1727, 1970, 1971, 1986, 1985, 2195, 2196, 2211, 2210
1728, 1971, 1972, 1987, 1986, 2196, 2197, 2212, 2211
1729, 1972, 1973, 1988, 1987, 2197, 2198, 2213, 2212
1730, 1973, 1974, 1989, 1988, 2198, 2199, 2214, 2213
1731, 1974, 1975, 1990, 1989, 2199, 2200, 2215, 2214
1732, 1975, 1976, 1991, 1990, 2200, 2201, 2216, 2215
1733, 1976, 1977, 1992, 1991, 2201, 2202, 2217, 2216
1734, 1977, 1978, 1993, 1992, 2202, 2203, 2218, 2217
1735, 1978, 1979, 1994, 1993, 2203, 2204, 2219, 2218
1736, 1979, 1980, 1995, 1994, 2204, 2205, 2220, 2219
1737, 1981, 1982, 1997, 1996, 2206, 2207, 2222, 2221
1738, 1982, 1983, 1998, 1997, 2207, 2208, 2223, 2222
1739, 1983, 1984, 1999, 1998, 2208, 2209, 2224, 2223
1740, 1984, 1985, 2000, 1999, 2209, 2210, 2225, 2224
1741, 1985, 1986, 2001, 2000, 2210, 2211, 2226, 2225
1742, 1986, 1987, 2002, 2001, 2211, 2212, 2227, 2226
1743, 1987, 1988, 2003, 2002, 2212, 2213, 2228, 2227
1744, 1988, 1989, 2004, 2003, 2213, 2214, 2229, 2228
1745, 1989, 1990, 2005, 2004, 2214, 2215, 2230, 2229
1746, 1990, 1991, 2006, 2005, 2215, 2216, 2231, 2230
1747, 1991, 1992, 2007, 2006, 2216, 2217, 2232, 2231
1748, 1992, 1993, 2008, 2007, 2217, 2218, 2233, 2232
1749, 1993, 1994, 2009, 2008, 2218, 2219, 2234, 2233
1750, 1994, 1995, 2010, 2009, 2219, 2220, 2235, 2234
1751, 1996, 1997, 2012, 2011, 2221, 2222, 2237, 2236
1752, 1997, 1998, 2013, 2012, 2222, 2223, 2238, 2237
1753, 1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238
1754, 1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239
1755, 2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240
1756, 2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241
1757, 2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242
1758, 2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243
1759, 2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244
1760, 2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245
1761, 2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246
1762, 2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247
1763, 2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248
1764, 2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249
1765, 2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266
1766, 2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267
1767, 2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268
1768, 2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269
1769, 2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270
1770, 2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271
1771, 2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272
1772, 2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273
1773, 2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274
1774, 2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275
1775, 2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276
1776, 2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277
1777, 2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278
1778, 2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279
1779, 2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281
1780, 2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282
1781, 2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283
1782, 2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284
1783, 2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285
1784, 2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286
1785, 2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287
1786, 2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288
1787, 2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289
1788, 2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290
1789, 2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291
1790, 2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292
1791, 2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293
1792, 2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294
1793, 2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296
1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297
1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298
1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299
1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300
1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301
1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302
1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303
1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304
1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305
1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306
1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307
1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308
1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309
1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311
1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312
1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313
1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314
1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315
1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316
1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317
1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318
1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319
1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320
1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321
1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322
1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323
1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324
1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326
1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327
1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328
1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329
1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330
1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331
1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332
1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333
1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334
1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335
1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336
1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337
1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338
1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339
1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341
1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342
1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343
1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344
1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345
1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346
1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347
1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348
1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349
1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350
1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351
1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352
1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353
1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354
1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356
1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357
1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358
1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359
1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360
1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361
1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362
1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363
1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364
1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365
1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366
1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367
1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368
1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369
1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371
1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372
1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373
1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374
1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375
1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376
1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377
1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378
1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379
1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380
1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381
1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382
1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383
1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384
1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386
1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387
1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388
1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389
1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390
1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391
1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392
1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393
1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394
1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395
1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396
1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397
1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398
1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399
1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401
1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402
1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403
1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404
1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405
1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406
1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407
1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408
1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409
1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410
1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411
1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412
1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413
1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414
1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416
1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417
1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418
1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419
1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420
1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421
1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422
1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423
1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424
1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425
1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426
1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427
1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428
1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429
1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431
1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432
1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433
1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434
1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435
1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436
1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437
1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438
1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439
1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440
1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441
1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442
1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443
1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444
1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446
1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447
1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448
1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449
1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450
1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451
1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452
1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453
1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454
1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455
1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456
1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457
1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458
1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459
1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461
1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462
1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463
1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464
1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465
1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466
1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467
1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468
1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469
1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470
1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471
1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472
1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473
1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474
1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491
1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492
1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493
1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494
1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495
1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496
1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497
1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498
1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499
1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500
1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501
1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502
1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503
1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504
1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506
1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507
1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508
1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509
1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510
1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511
1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512
1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513
1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514
1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515
1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516
1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517
1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518
1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519
1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521
1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522
1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523
1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524
1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525
1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526
1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527
1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528
1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529
1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530
1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531
2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532
2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533
2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534
2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536
2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537
2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538
2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539
2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540
2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541
2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542
2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543
2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544
2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545
2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546
2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547
2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548
2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549
2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551
2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552
2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553
2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554
2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555
2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556
2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557
2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558
2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559
2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560
2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561
2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562
2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563
2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564
2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566
2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567
2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568
2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569
2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570
2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571
2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572
2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573
2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574
2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575
2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576
2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577
2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578
2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579
2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581
2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582
2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583
2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584
2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585
2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586
2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587
2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588
2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589
2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590
2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591
2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592
2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593
2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594
2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596
2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597
2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598
2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599
2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600
2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601
2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602
2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603
2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604
2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605
2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606
2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607
2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608
2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609
2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611
2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612
2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613
2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614
2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615
2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616
2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617
2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618
2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619
2082, 2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620
2083, 2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621
2084, 2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622
2085, 2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623
2086, 2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624
2087, 2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626
2088, 2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627
2089, 2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628
2090, 2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629
2091, 2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630
2092, 2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631
2093, 2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632
2094, 2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633
2095, 2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634
2096, 2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635
2097, 2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636
2098, 2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637
2099, 2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638
2100, 2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639
2101, 2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641
2102, 2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642
2103, 2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643
2104, 2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644
2105, 2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645
2106, 2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646
2107, 2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647
2108, 2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648
2109, 2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649
2110, 2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650
2111, 2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651
2112, 2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652
2113, 2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653
2114, 2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654
2115, 2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656
2116, 2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657
2117, 2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658
2118, 2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659
2119, 2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660
2120, 2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661
2121, 2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662
2122, 2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663
2123, 2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664
2124, 2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665
2125, 2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666
2126, 2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667
2127, 2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668
2128, 2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669
2129, 2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671
2130, 2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672
2131, 2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673
2132, 2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674
2133, 2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675
2134, 2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676
2135, 2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677
2136, 2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678
2137, 2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679
2138, 2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680
2139, 2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681
2140, 2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682
2141, 2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683
2142, 2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684
2143, 2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686
2144, 2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687
2145, 2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688
2146, 2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689
2147, 2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690
2148, 2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691
2149, 2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692
2150, 2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693
2151, 2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694
2152, 2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695
2153, 2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696
2154, 2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697
2155, 2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698
2156, 2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699
2157, 2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716
2158, 2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717
2159, 2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718
2160, 2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719
2161, 2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720
2162, 2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721
2163, 2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722
2164, 2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723
2165, 2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724
2166, 2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725
2167, 2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726
2168, 2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727
2169, 2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728
2170, 2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729
2171, 2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731
2172, 2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732
2173, 2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733
2174, 2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734
2175, 2495, 2496, 2511, 2510, 2720, 2721, 2736, 2735
2176, 2496, 2497, 2512, 2511, 2721, 2722, 2737, 2736
2177, 2497, 2498, 2513, 2512, 2722, 2723, 2738, 2737
2178, 2498, 2499, 2514, 2513, 2723, 2724, 2739, 2738
2179, 2499, 2500, 2515, 2514, 2724, 2725, 2740, 2739
2180, 2500, 2501, 2516, 2515, 2725, 2726, 2741, 2740
2181, 2501, 2502, 2517, 2516, 2726, 2727, 2742, 2741
2182, 2502, 2503, 2518, 2517, 2727, 2728, 2743, 2742
2183, 2503, 2504, 2519, 2518, 2728, 2729, 2744, 2743
2184, 2504, 2505, 2520, 2519, 2729, 2730, 2745, 2744
2185, 2506, 2507, 2522, 2521, 2731, 2732, 2747, 2746
2186, 2507, 2508, 2523, 2522, 2732, 2733, 2748, 2747
2187, 2508, 2509, 2524, 2523, 2733, 2734, 2749, 2748
2188, 2509, 2510, 2525, 2524, 2734, 2735, 2750, 2749
2189, 2510, 2511, 2526, 2525, 2735, 2736, 2751, 2750
2190, 2511, 2512, 2527, 2526, 2736, 2737, 2752, 2751
2191, 2512, 2513, 2528, 2527, 2737, 2738, 2753, 2752
2192, 2513, 2514, 2529, 2528, 2738, 2739, 2754, 2753
2193, 2514, 2515, 2530, 2529, 2739, 2740, 2755, 2754
2194, 2515, 2516, 2531, 2530, 2740, 2741, 2756, 2755
2195, 2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756
2196, 2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757
2197, 2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758
2198, 2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759
2199, 2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761
2200, 2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762
2201, 2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763
2202, 2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764
2203, 2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765
2204, 2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766
2205, 2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767
2206, 2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768
2207, 2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769
2208, 2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770
2209, 2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771
2210, 2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772
2211, 2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773
2212, 2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774
2213, 2536, 2537, 2552, 2551, 2761, 2762, 2777, 2776
2214, 2537, 2538, 2553, 2552, 2762, 2763, 2778, 2777
2215, 2538, 2539, 2554, 2553, 2763, 2764, 2779, 2778
2216, 2539, 2540, 2555, 2554, 2764, 2765, 2780, 2779
2217, 2540, 2541, 2556, 2555, 2765, 2766, 2781, 2780
2218, 2541, 2542, 2557, 2556, 2766, 2767, 2782, 2781
2219, 2542, 2543, 2558, 2557, 2767, 2768, 2783, 2782
2220, 2543, 2544, 2559, 2558, 2768, 2769, 2784, 2783
2221, 2544, 2545, 2560, 2559, 2769, 2770, 2785, 2784
2222, 2545, 2546, 2561, 2560, 2770, 2771, 2786, 2785
2223, 2546, 2547, 2562, 2561, 2771, 2772, 2787, 2786
2224, 2547, 2548, 2563, 2562, 2772, 2773, 2788, 2787
2225, 2548, 2549, 2564, 2563, 2773, 2774, 2789, 2788
2226, 2549, 2550, 2565, 2564, 2774, 2775, 2790, 2789
2227, 2551, 2552, 2567, 2566, 2776, 2777, 2792, 2791
2228, 2552, 2553, 2568, 2567, 2777, 2778, 2793, 2792
2229, 2553, 2554, 2569, 2568, 2778, 2779, 2794, 2793
2230, 2554, 2555, 2570, 2569, 2779, 2780, 2795, 2794
2231, 2555, 2556, 2571, 2570, 2780, 2781, 2796, 2795
2232, 2556, 2557, 2572, 2571, 2781, 2782, 2797, 2796
2233, 2557, 2558, 2573, 2572, 2782, 2783, 2798, 2797
2234, 2558, 2559, 2574, 2573, 2783, 2784, 2799, 2798
2235, 2559, 2560, 2575, 2574, 2784, 2785, 2800, 2799
2236, 2560, 2561, 2576, 2575, 2785, 2786, 2801, 2800
2237, 2561, 2562, 2577, 2576, 2786, 2787, 2802, 2801
2238, 2562, 2563, 2578, 2577, 2787, 2788, 2803, 2802
2239, 2563, 2564, 2579, 2578, 2788, 2789, 2804, 2803
2240, 2564, 2565, 2580, 2579, 2789, 2790, 2805, 2804
2241, 2566, 2567, 2582, 2581, 2791, 2792, 2807, 2806
2242, 2567, 2568, 2583, 2582, 2792, 2793, 2808, 2807
2243, 2568, 2569, 2584, 2583, 2793, 2794, 2809, 2808
2244, 2569, 2570, 2585, 2584, 2794, 2795, 2810, 2809
2245, 2570, 2571, 2586, 2585, 2795, 2796, 2811, 2810
2246, 2571, 2572, 2587, 2586, 2796, 2797, 2812, 2811
2247, 2572, 2573, 2588, 2587, 2797, 2798, 2813, 2812
2248, 2573, 2574, 2589, 2588, 2798, 2799, 2814, 2813
2249, 2574, 2575, 2590, 2589, 2799, 2800, 2815, 2814
2250, 2575, 2576, 2591, 2590, 2800, 2801, 2816, 2815
2251, 2576, 2577, 2592, 2591, 2801, 2802, 2817, 2816
2252, 2577, 2578, 2593, 2592, 2802, 2803, 2818, 2817
2253, 2578, 2579, 2594, 2593, 2803, 2804, 2819, 2818
2254, 2579, 2580, 2595, 2594, 2804, 2805, 2820, 2819
2255, 2581, 2582, 2597, 2596, 2806, 2807, 2822, 2821
2256, 2582, 2583, 2598, 2597, 2807, 2808, 2823, 2822
2257, 2583, 2584, 2599, 2598, 2808, 2809, 2824, 2823
2258, 2584, 2585, 2600, 2599, 2809, 2810, 2825, 2824
2259, 2585, 2586, 2601, 2600, 2810, 2811, 2826, 2825
2260, 2586, 2587, 2602, 2601, 2811, 2812, 2827, 2826
2261, 2587, 2588, 2603, 2602, 2812, 2813, 2828, 2827
2262, 2588, 2589, 2604, 2603, 2813, 2814, 2829, 2828
2263, 2589, 2590, 2605, 2604, 2814, 2815, 2830, 2829
2264, 2590, 2591, 2606, 2605, 2815, 2816, 2831, 2830
2265, 2591, 2592, 2607, 2606, 2816, 2817, 2832, 2831
2266, 2592, 2593, 2608, 2607, 2817, 2818, 2833, 2832
2267, 2593, 2594, 2609, 2608, 2818, 2819, 2834, 2833
2268, 2594, 2595, 2610, 2609, 2819, 2820, 2835, 2834
2269, 2596, 2597, 2612, 2611, 2821, 2822, 2837, 2836
2270, 2597, 2598, 2613, 2612, 2822, 2823, 2838, 2837
2271, 2598, 2599, 2614, 2613, 2823, 2824, 2839, 2838
2272, 2599, 2600, 2615, 2614, 2824, 2825, 2840, 2839
2273, 2600, 2601, 2616, 2615, 2825, 2826, 2841, 2840
2274, 2601, 2602, 2617, 2616, 2826, 2827, 2842, 2841
2275, 2602, 2603, 2618, 2617, 2827, 2828, 2843, 2842
2276, 2603, 2604, 2619, 2618, 2828, 2829, 2844, 2843
2277, 2604, 2605, 2620, 2619, 2829, 2830, 2845, 2844
2278, 2605, 2606, 2621, 2620, 2830, 2831, 2846, 2845
2279, 2606, 2607, 2622, 2621, 2831, 2832, 2847, 2846
2280, 2607, 2608, 2623, 2622, 2832, 2833, 2848, 2847
2281, 2608, 2609, 2624, 2623, 2833, 2834, 2849, 2848
2282, 2609, 2610, 2625, 2624, 2834, 2835, 2850, 2849
2283, 2611, 2612, 2627, 2626, 2836, 2837, 2852, 2851
2284, 2612, 2613, 2628, 2627, 2837, 2838, 2853, 2852
2285, 2613, 2614, 2629, 2628, 2838, 2839, 2854, 2853
2286, 2614, 2615, 2630, 2629, 2839, 2840, 2855, 2854
2287, 2615, 2616, 2631, 2630, 2840, 2841, 2856, 2855
2288, 2616, 2617, 2632, 2631, 2841, 2842, 2857, 2856
2289, 2617, 2618, 2633, 2632, 2842, 2843, 2858, 2857
2290, 2618, 2619, 2634, 2633, 2843, 2844, 2859, 2858
2291, 2619, 2620, 2635, 2634, 2844, 2845, 2860, 2859
2292, 2620, 2621, 2636, 2635, 2845, 2846, 2861, 2860
2293, 2621, 2622, 2637, 2636, 2846, 2847, 2862, 2861
2294, 2622, 2623, 2638, 2637, 2847, 2848, 2863, 2862
2295, 2623, 2624, 2639, 2638, 2848, 2849, 2864, 2863
2296, 2624, 2625, 2640, 2639, 2849, 2850, 2865, 2864
2297, 2626, 2627, 2642, 2641, 2851, 2852, 2867, 2866
2298, 2627, 2628, 2643, 2642, 2852, 2853, 2868, 2867
2299, 2628, 2629, 2644, 2643, 2853, 2854, 2869, 2868
2300, 2629, 2630, 2645, 2644, 2854, 2855, 2870, 2869
2301, 2630, 2631, 2646, 2645, 2855, 2856, 2871, 2870
2302, 2631, 2632, 2647, 2646, 2856, 2857, 2872, 2871
2303, 2632, 2633, 2648, 2647, 2857, 2858, 2873, 2872
2304, 2633, 2634, 2649, 2648, 2858, 2859, 2874, 2873
2305, 2634, 2635, 2650, 2649, 2859, 2860, 2875, 2874
2306, 2635, 2636, 2651, 2650, 2860, 2861, 2876, 2875
2307, 2636, 2637, 2652, 2651, 2861, 2862, 2877, 2876
2308, 2637, 2638, 2653, 2652, 2862, 2863, 2878, 2877
2309, 2638, 2639, 2654, 2653, 2863, 2864, 2879, 2878
2310, 2639, 2640, 2655, 2654, 2864, 2865, 2880, 2879
2311, 2641, 2642, 2657, 2656, 2866, 2867, 2882, 2881
2312, 2642, 2643, 2658, 2657, 2867, 2868, 2883, 2882
2313, 2643, 2644, 2659, 2658, 2868, 2869, 2884, 2883
2314, 2644, 2645, 2660, 2659, 2869, 2870, 2885, 2884
2315, 2645, 2646, 2661, 2660, 2870, 2871, 2886, 2885
2316, 2646, 2647, 2662, 2661, 2871, 2872, 2887, 2886
2317, 2647, 2648, 2663, 2662, 2872, 2873, 2888, 2887
2318, 2648, 2649, 2664, 2663, 2873, 2874, 2889, 2888
2319, 2649, 2650, 2665, 2664, 2874, 2875, 2890, 2889
2320, 2650, 2651, 2666, 2665, 2875, 2876, 2891, 2890
2321, 2651, 2652, 2667, 2666, 2876, 2877, 2892, 2891
2322, 2652, 2653, 2668, 2667, 2877, 2878, 2893, 2892
2323, 2653, 2654, 2669, 2668, 2878, 2879, 2894, 2893
2324, 2654, 2655, 2670, 2669, 2879, 2880, 2895, 2894
2325, 2656, 2657, 2672, 2671, 2881, 2882, 2897, 2896
2326, 2657, 2658, 2673, 2672, 2882, 2883, 2898, 2897
2327, 2658, 2659, 2674, 2673, 2883, 2884, 2899, 2898
2328, 2659, 2660, 2675, 2674, 2884, 2885, 2900, 2899
2329, 2660, 2661, 2676, 2675, 2885, 2886, 2901, 2900
2330, 2661, 2662, 2677, 2676, 2886, 2887, 2902, 2901
2331, 2662, 2663, 2678, 2677, 2887, 2888, 2903, 2902
2332, 2663, 2664, 2679, 2678, 2888, 2889, 2904, 2903
2333, 2664, 2665, 2680, 2679, 2889, 2890, 2905, 2904
2334, 2665, 2666, 2681, 2680, 2890, 2891, 2906, 2905
2335, 2666, 2667, 2682, 2681, 2891, 2892, 2907, 2906
2336, 2667, 2668, 2683, 2682, 2892, 2893, 2908, 2907
2337, 2668, 2669, 2684, 2683, 2893, 2894, 2909, 2908
2338, 2669, 2670, 2685, 2684, 2894, 2895, 2910, 2909
2339, 2671, 2672, 2687, 2686, 2896, 2897, 2912, 2911
2340, 2672, 2673, 2688, 2687, 2897, 2898, 2913, 2912
2341, 2673, 2674, 2689, 2688, 2898, 2899, 2914, 2913
2342, 2674, 2675, 2690, 2689, 2899, 2900, 2915, 2914
2343, 2675, 2676, 2691, 2690, 2900, 2901, 2916, 2915
2344, 2676, 2677, 2692, 2691, 2901, 2902, 2917, 2916
2345, 2677, 2678, 2693, 2692, 2902, 2903, 2918, 2917
2346, 2678, 2679, 2694, 2693, 2903, 2904, 2919, 2918
2347, 2679, 2680, 2695, 2694, 2904, 2905, 2920, 2919
2348, 2680, 2681, 2696, 2695, 2905, 2906, 2921, 2920
2349, 2681, 2682, 2697, 2696, 2906, 2907, 2922, 2921
2350, 2682, 2683, 2698, 2697, 2907, 2908, 2923, 2922
2351, 2683, 2684, 2699, 2698, 2908, 2909, 2924, 2923
2352, 2684, 2685, 2700, 2699, 2909, 2910, 2925, 2924
2353, 2701, 2702, 2717, 2716, 2926, 2927, 2942, 2941
2354, 2702, 2703, 2718, 2717, 2927, 2928, 2943, 2942
2355, 2703, 2704, 2719, 2718, 2928, 2929, 2944, 2943
2356, 2704, 2705, 2720, 2719, 2929, 2930, 2945, 2944
2357, 2705, 2706, 2721, 2720, 2930, 2931, 2946, 2945
2358, 2706, 2707, 2722, 2721, 2931, 2932, 2947, 2946
2359, 2707, 2708, 2723, 2722, 2932, 2933, 2948, 2947
2360, 2708, 2709, 2724, 2723, 2933, 2934, 2949, 2948
2361, 2709, 2710, 2725, 2724, 2934, 2935, 2950, 2949
2362, 2710, 2711, 2726, 2725, 2935, 2936, 2951, 2950
2363, 2711, 2712, 2727, 2726, 2936, 2937, 2952, 2951
2364, 2712, 2713, 2728, 2727, 2937, 2938, 2953, 2952
2365, 2713, 2714, 2729, 2728, 2938, 2939, 2954, 2953
2366, 2714, 2715, 2730, 2729, 2939, 2940, 2955, 2954
2367, 2716, 2717, 2732, 2731, 2941, 2942, 2957, 2956
2368, 2717, 2718, 2733, 2732, 2942, 2943, 2958, 2957
2369, 2718, 2719, 2734, 2733, 2943, 2944, 2959, 2958
2370, 2719, 2720, 2735, 2734, 2944, 2945, 2960, 2959
2371, 2720, 2721, 2736, 2735, 2945, 2946, 2961, 2960
2372, 2721, 2722, 2737, 2736, 2946, 2947, 2962, 2961
2373, 2722, 2723, 2738, 2737, 2947, 2948, 2963, 2962
2374, 2723, 2724, 2739, 2738, 2948, 2949, 2964, 2963
2375, 2724, 2725, 2740, 2739, 2949, 2950, 2965, 2964
2376, 2725, 2726, 2741, 2740, 2950, 2951, 2966, 2965
2377, 2726, 2727, 2742, 2741, 2951, 2952, 2967, 2966
2378, 2727, 2728, 2743, 2742, 2952, 2953, 2968, 2967
2379, 2728, 2729, 2744, 2743, 2953, 2954, 2969, 2968
2380, 2729, 2730, 2745, 2744, 2954, 2955, 2970, 2969
2381, 2731, 2732, 2747, 2746, 2956, 2957, 2972, 2971
2382, 2732, 2733, 2748, 2747, 2957, 2958, 2973, 2972
2383, 2733, 2734, 2749, 2748, 2958, 2959, 2974, 2973
2384, 2734, 2735, 2750, 2749, 2959, 2960, 2975, 2974
2385, 2735, 2736, 2751, 2750, 2960, 2961, 2976, 2975
2386, 2736, 2737, 2752, 2751, 2961, 2962, 2977, 2976
2387, 2737, 2738, 2753, 2752, 2962, 2963, 2978, 2977
2388, 2738, 2739, 2754, 2753, 2963, 2964, 2979, 2978
2389, 2739, 2740, 2755, 2754, 2964, 2965, 2980, 2979
2390, 2740, 2741, 2756, 2755, 2965, 2966, 2981, 2980
2391, 2741, 2742, 2757, 2756, 2966, 2967, 2982, 2981
2392, 2742, 2743, 2758, 2757, 2967, 2968, 2983, 2982
2393, 2743, 2744, 2759, 2758, 2968, 2969, 2984, 2983
2394, 2744, 2745, 2760, 2759, 2969, 2970, 2985, 2984
2395, 2746, 2747, 2762, 2761, 2971, 2972, 2987, 2986
2396, 2747, 2748, 2763, 2762, 2972, 2973, 2988, 2987
2397, 2748, 2749, 2764, 2763, 2973, 2974, 2989, 2988
2398, 2749, 2750, 2765, 2764, 2974, 2975, 2990, 2989
2399, 2750, 2751, 2766, 2765, 2975, 2976, 2991, 2990
2400, 2751, 2752, 2767, 2766, 2976, 2977, 2992, 2991
2401, 2752, 2753, 2768, 2767, 2977, 2978, 2993, 2992
2402, 2753, 2754, 2769, 2768, 2978, 2979, 2994, 2993
2403, 2754, 2755, 2770, 2769, 2979, 2980, 2995, 2994
2404, 2755, 2756, 2771, 2770, 2980, 2981, 2996, 2995
2405, 2756, 2757, 2772, 2771, 2981, 2982, 2997, 2996
2406, 2757, 2758, 2773, 2772, 2982, 2983, 2998, 2997
2407, 2758, 2759, 2774, 2773, 2983, 2984, 2999, 2998
2408, 2759, 2760, 2775, 2774, 2984, 2985, 3000, 2999
2409, 2761, 2762, 2777, 2776, 2986, 2987, 3002, 3001
2410, 2762, 2763, 2778, 2777, 2987, 2988, 3003, 3002
2411, 2763, 2764, 2779, 2778, 2988, 2989, 3004, 3003
2412, 2764, 2765, 2780, 2779, 2989, 2990, 3005, 3004
2413, 2765, 2766, 2781, 2780, 2990, 2991, 3006, 3005
2414, 2766, 2767, 2782, 2781, 2991, 2992, 3007, 3006
2415, 2767, 2768, 2783, 2782, 2992, 2993, 3008, 3007
2416, 2768, 2769, 2784, 2783, 2993, 2994, 3009, 3008
2417, 2769, 2770, 2785, 2784, 2994, 2995, 3010, 3009
2418, 2770, 2771, 2786, 2785, 2995, 2996, 3011, 3010
2419, 2771, 2772, 2787, 2786, 2996, 2997, 3012, 3011
2420, 2772, 2773, 2788, 2787, 2997, 2998, 3013, 3012
2421, 2773, 2774, 2789, 2788, 2998, 2999, 3014, 3013
2422, 2774, 2775, 2790, 2789, 2999, 3000, 3015, 3014
2423, 2776, 2777, 2792, 2791, 3001, 3002, 3017, 3016
2424, 2777, 2778, 2793, 2792, 3002, 3003, 3018, 3017
2425, 2778, 2779, 2794, 2793, 3003, 3004, 3019, 3018
2426, 2779, 2780, 2795, 2794, 3004, 3005, 3020, 3019
2427, 2780, 2781, 2796, 2795, 3005, 3006, 3021, 3020
2428, 2781, 2782, 2797, 2796, 3006, 3007, 3022, 3021
2429, 2782, 2783, 2798, 2797, 3007, 3008, 3023, 3022
2430, 2783, 2784, 2799, 2798, 3008, 3009, 3024, 3023
2431, 2784, 2785, 2800, 2799, 3009, 3010, 3025, 3024
2432, 2785, 2786, 2801, 2800, 3010, 3011, 3026, 3025
2433, 2786, 2787, 2802, 2801, 3011, 3012, 3027, 3026
2434, 2787, 2788, 2803, 2802, 3012, 3013, 3028, 3027
2435, 2788, 2789, 2804, 2803, 3013, 3014, 3029, 3028
2436, 2789, 2790, 2805, 2804, 3014, 3015, 3030, 3029
2437, 2791, 2792, 2807, 2806, 3016, 3017, 3032, 3031
2438, 2792, 2793, 2808, 2807, 3017, 3018, 3033, 3032
2439, 2793, 2794, 2809, 2808, 3018, 3019, 3034, 3033
2440, 2794, 2795, 2810, 2809, 3019, 3020, 3035, 3034
2441, 2795, 2796, 2811, 2810, 3020, 3021, 3036, 3035
2442, 2796, 2797, 2812, 2811, 3021, 3022, 3037, 3036
2443, 2797, 2798, 2813, 2812, 3022, 3023, 3038, 3037
2444, 2798, 2799, 2814, 2813, 3023, 3024, 3039, 3038
2445, 2799, 2800, 2815, 2814, 3024, 3025, 3040, 3039
2446, 2800, 2801, 2816, 2815, 3025, 3026, 3041, 3040
2447, 2801, 2802, 2817, 2816, 3026, 3027, 3042, 3041
2448, 2802, 2803, 2818, 2817, 3027, 3028, 3043, 3042
2449, 2803, 2804, 2819, 2818, 3028, 3029, 3044, 3043
2450, 2804, 2805, 2820, 2819, 3029, 3030, 3045, 3044
2451, 2806, 2807, 2822, 2821, 3031, 3032, 3047, 3046
2452, 2807, 2808, 2823, 2822, 3032, 3033, 3048, 3047
2453, 2808, 2809, 2824, 2823, 3033, 3034, 3049, 3048
2454, 2809, 2810, 2825, 2824, 3034, 3035, 3050, 3049
2455, 2810, 2811, 2826, 2825, 3035, 3036, 3051, 3050
2456, 2811, 2812, 2827, 2826, 3036, 3037, 3052, 3051
2457, 2812, 2813, 2828, 2827, 3037, 3038, 3053, 3052
2458, 2813, 2814, 2829, 2828, 3038, 3039, 3054, 3053
2459, 2814, 2815, 2830, 2829, 3039, 3040, 3055, 3054
2460, 2815, 2816, 2831, 2830, 3040, 3041, 3056, 3055
2461, 2816, 2817, 2832, 2831, 3041, 3042, 3057, 3056
2462, 2817, 2818, 2833, 2832, 3042, 3043, 3058, 3057
2463, 2818, 2819, 2834, 2833, 3043, 3044, 3059, 3058
2464, 2819, 2820, 2835, 2834, 3044, 3045, 3060, 3059
2465, 2821, 2822, 2837, 2836, 3046, 3047, 3062, 3061
2466, 2822, 2823, 2838, 2837, 3047, 3048, 3063, 3062
2467, 2823, 2824, 2839, 2838, 3048, 3049, 3064, 3063
2468, 2824, 2825, 2840, 2839, 3049, 3050, 3065, 3064
2469, 2825, 2826, 2841, 2840, 3050, 3051, 3066, 3065
2470, 2826, 2827, 2842, 2841, 3051, 3052, 3067, 3066
2471, 2827, 2828, 2843, 2842, 3052, 3053, 3068, 3067
2472, 2828, 2829, 2844, 2843, 3053, 3054, 3069, 3068
2473, 2829, 2830, 2845, 2844, 3054, 3055, 3070, 3069
2474, 2830, 2831, 2846, 2845, 3055, 3056, 3071, 3070
2475, 2831, 2832, 2847, 2846, 3056, 3057, 3072, 3071
2476, 2832, 2833, 2848, 2847, 3057, 3058, 3073, 3072
2477, 2833, 2834, 2849, 2848, 3058, 3059, 3074, 3073
2478, 2834, 2835, 2850, 2849, 3059, 3060, 3075, 3074
2479, 2836, 2837, 2852, 2851, 3061, 3062, 3077, 3076
2480, 2837, 2838, 2853, 2852, 3062, 3063, 3078, 3077
2481, 2838, 2839, 2854, 2853, 3063, 3064, 3079, 3078
2482, 2839, 2840, 2855, 2854, 3064, 3065, 3080, 3079
2483, 2840, 2841, 2856, 2855, 3065, 3066, 3081, 3080
2484, 2841, 2842, 2857, 2856, 3066, 3067, 3082, 3081
2485, 2842, 2843, 2858, 2857, 3067, 3068, 3083, 3082
2486, 2843, 2844, 2859, 2858, 3068, 3069, 3084, 3083
2487, 2844, 2845, 2860, 2859, 3069, 3070, 3085, 3084
2488, 2845, 2846, 2861, 2860, 3070, 3071, 3086, 3085
2489, 2846, 2847, 2862, 2861, 3071, 3072, 3087, 3086
2490, 2847, 2848, 2863, 2862, 3072, 3073, 3088, 3087
2491, 2848, 2849, 2864, 2863, 3073, 3074, 3089, 3088
2492, 2849, 2850, 2865, 2864, 3074, 3075, 3090, 3089
2493, 2851, 2852, 2867, 2866, 3076, 3077, 3092, 3091
2494, 2852, 2853, 2868, 2867, 3077, 3078, 3093, 3092
2495, 2853, 2854, 2869, 2868, 3078, 3079, 3094, 3093
2496, 2854, 2855, 2870, 2869, 3079, 3080, 3095, 3094
2497, 2855, 2856, 2871, 2870, 3080, 3081, 3096, 3095
2498, 2856, 2857, 2872, 2871, 3081, 3082, 3097, 3096
2499, 2857, 2858, 2873, 2872, 3082, 3083, 3098, 3097
2500, 2858, 2859, 2874, 2873, 3083, 3084, 3099, 3098
2501, 2859, 2860, 2875, 2874, 3084, 3085, 3100, 3099
2502, 2860, 2861, 2876, 2875, 3085, 3086, 3101, 3100
2503, 2861, 2862, 2877, 2876, 3086, 3087, 3102, 3101
2504, 2862, 2863, 2878, 2877, 3087, 3088, 3103, 3102
2505, 2863, 2864, 2879, 2878, 3088, 3089, 3104, 3103
2506, 2864, 2865, 2880, 2879, 3089, 3090, 3105, 3104
2507, 2866, 2867, 2882, 2881, 3091, 3092, 3107, 3106
2508, 2867, 2868, 2883, 2882, 3092, 3093, 3108, 3107
2509, 2868, 2869, 2884, 2883, 3093, 3094, 3109, 3108
2510, 2869, 2870, 2885, 2884, 3094, 3095, 3110, 3109
2511, 2870, 2871, 2886, 2885, 3095, 3096, 3111, 3110
2512, 2871, 2872, 2887, 2886, 3096, 3097, 3112, 3111
2513, 2872, 2873, 2888, 2887, 3097, 3098, 3113, 3112
2514, 2873, 2874, 2889, 2888, 3098, 3099, 3114, 3113
2515, 2874, 2875, 2890, 2889, 3099, 3100, 3115, 3114
2516, 2875, 2876, 2891, 2890, 3100, 3101, 3116, 3115
2517, 2876, 2877, 2892, 2891, 3101, 3102, 3117, 3116
2518, 2877, 2878, 2893, 2892, 3102, 3103, 3118, 3117
2519, 2878, 2879, 2894, 2893, 3103, 3104, 3119, 3118
2520, 2879, 2880, 2895, 2894, 3104, 3105, 3120, 3119
2521, 2881, 2882, 2897, 2896, 3106, 3107, 3122, 3121
2522, 2882, 2883, 2898, 2897, 3107, 3108, 3123, 3122
2523, 2883, 2884, 2899, 2898, 3108, 3109, 3124, 3123
2524, 2884, 2885, 2900, 2899, 3109, 3110, 3125, 3124
2525, 2885, 2886, 2901, 2900, 3110, 3111, 3126, 3125
2526, 2886, 2887, 2902, 2901, 3111, 3112, 3127, 3126
2527, 2887, 2888, 2903, 2902, 3112, 3113, 3128, 3127
2528, 2888, 2889, 2904, 2903, 3113, 3114, 3129, 3128
2529, 2889, 2890, 2905, 2904, 3114, 3115, 3130, 3129
2530, 2890, 2891, 2906, 2905, 3115, 3116, 3131, 3130
2531, 2891, 2892, 2907, 2906, 3116, 3117, 3132, 3131
2532, 2892, 2893, 2908, 2907, 3117, 3118, 3133, 3132
2533, 2893, 2894, 2909, 2908, 3118, 3119, 3134, 3133
2534, 2894, 2895, 2910, 2909, 3119, 3120, 3135, 3134
2535, 2896, 2897, 2912, 2911, 3121, 3122, 3137, 3136
2536, 2897, 2898, 2913, 2912, 3122, 3123, 3138, 3137
2537, 2898, 2899, 2914, 2913, 3123, 3124, 3139, 3138
2538, 2899, 2900, 2915, 2914, 3124, 3125, 3140, 3139
2539, 2900, 2901, 2916, 2915, 3125, 3126, 3141, 3140
2540, 2901, 2902, 2917, 2916, 3126, 3127, 3142, 3141
2541, 2902, 2903, 2918, 2917, 3127, 3128, 3143, 3142
2542, 2903, 2904, 2919, 2918, 3128, 3129, 3144, 3143
2543, 2904, 2905, 2920, 2919, 3129, 3130, 3145, 3144
2544, 2905, 2906, 2921, 2920, 3130, 3131, 3146, 3145
2545, 2906, 2907, 2922, 2921, 3131, 3132, 3147, 3146
2546, 2907, 2908, 2923, 2922, 3132, 3133, 3148, 3147
2547, 2908, 2909, 2924, 2923, 3133, 3134, 3149, 3148
2548, 2909, 2910, 2925, 2924, 3134, 3135, 3150, 3149
2549, 2926, 2927, 2942, 2941, 3151, 3152, 3167, 3166
2550, 2927, 2928, 2943, 2942, 3152, 3153, 3168, 3167
2551, 2928, 2929, 2944, 2943, 3153, 3154, 3169, 3168
2552, 2929, 2930, 2945, 2944, 3154, 3155, 3170, 3169
2553, 2930, 2931, 2946, 2945, 3155, 3156, 3171, 3170
2554, 2931, 2932, 2947, 2946, 3156, 3157, 3172, 3171
2555, 2932, 2933, 2948, 2947, 3157, 3158, 3173, 3172
2556, 2933, 2934, 2949, 2948, 3158, 3159, 3174, 3173
2557, 2934, 2935, 2950, 2949, 3159, 3160, 3175, 3174
2558, 2935, 2936, 2951, 2950, 3160, 3161, 3176, 3175
2559, 2936, 2937, 2952, 2951, 3161, 3162, 3177, 3176
2560, 2937, 2938, 2953, 2952, 3162, 3163, 3178, 3177
2561, 2938, 2939, 2954, 2953, 3163, 3164, 3179, 3178
2562, 2939, 2940, 2955, 2954, 3164, 3165, 3180, 3179
2563, 2941, 2942, 2957, 2956, 3166, 3167, 3182, 3181
2564, 2942, 2943, 2958, 2957, 3167, 3168, 3183, 3182
2565, 2943, 2944, 2959, 2958, 3168, 3169, 3184, 3183
2566, 2944, 2945, 2960, 2959, 3169, 3170, 3185, 3184
2567, 2945, 2946, 2961, 2960, 3170, 3171, 3186, 3185
2568, 2946, 2947, 2962, 2961, 3171, 3172, 3187, 3186
2569, 2947, 2948, 2963, 2962, 3172, 3173, 3188, 3187
2570, 2948, 2949, 2964, 2963, 3173, 3174, 3189, 3188
2571, 2949, 2950, 2965, 2964, 3174, 3175, 3190, 3189
2572, 2950, 2951, 2966, 2965, 3175, 3176, 3191, 3190
2573, 2951, 2952, 2967, 2966, 3176, 3177, 3192, 3191
2574, 2952, 2953, 2968, 2967, 3177, 3178, 3193, 3192
2575, 2953, 2954, 2969, 2968, 3178, 3179, 3194, 3193
2576, 2954, 2955, 2970, 2969, 3179, 3180, 3195, 3194
2577, 2956, 2957, 2972, 2971, 3181, 3182, 3197, 3196
2578, 2957, 2958, 2973, 2972, 3182, 3183, 3198, 3197
2579, 2958, 2959, 2974, 2973, 3183, 3184, 3199, 3198
2580, 2959, 2960, 2975, 2974, 3184, 3185, 3200, 3199
2581, 2960, 2961, 2976, 2975, 3185, 3186, 3201, 3200
2582, 2961, 2962, 2977, 2976, 3186, 3187, 3202, 3201
2583, 2962, 2963, 2978, 2977, 3187, 3188, 3203, 3202
2584, 2963, 2964, 2979, 2978, 3188, 3189, 3204, 3203
2585, 2964, 2965, 2980, 2979, 3189, 3190, 3205, 3204
2586, 2965, 2966, 2981, 2980, 3190, 3191, 3206, 3205
2587, 2966, 2967, 2982, 2981, 3191, 3192, 3207, 3206
2588, 2967, 2968, 2983, 2982, 3192, 3193, 3208, 3207
2589, 2968, 2969, 2984, 2983, 3193, 3194, 3209, 3208
2590, 2969, 2970, 2985, 2984, 3194, 3195, 3210, 3209
2591, 2971, 2972, 2987, 2986, 3196, 3197, 3212, 3211
2592, 2972, 2973, 2988, 2987, 3197, 3198, 3213, 3212
2593, 2973, 2974, 2989, 2988, 3198, 3199, 3214, 3213
2594, 2974, 2975, 2990, 2989, 3199, 3200, 3215, 3214
2595, 2975, 2976, 2991, 2990, 3200, 3201, 3216, 3215
2596, 2976, 2977, 2992, 2991, 3201, 3202, 3217, 3216
2597, 2977, 2978, 2993, 2992, 3202, 3203, 3218, 3217
2598, 2978, 2979, 2994, 2993, 3203, 3204, 3219, 3218
2599, 2979, 2980, 2995, 2994, 3204, 3205, 3220, 3219
2600, 2980, 2981, 2996, 2995, 3205, 3206, 3221, 3220
2601, 2981, 2982, 2997, 2996, 3206, 3207, 3222, 3221
2602, 2982, 2983, 2998, 2997, 3207, 3208, 3223, 3222
2603, 2983, 2984, 2999, 2998, 3208, 3209, 3224, 3223
2604, 2984, 2985, 3000, 2999, 3209, 3210, 3225, 3224
2605, 2986, 2987, 3002, 3001, 3211, 3212, 3227, 3226
2606, 2987, 2988, 3003, 3002, 3212, 3213, 3228, 3227
2607, 2988, 2989, 3004, 3003, 3213, 3214, 3229, 3228
2608, 2989, 2990, 3005, 3004, 3214, 3215, 3230, 3229
2609, 2990, 2991, 3006, 3005, 3215, 3216, 3231, 3230
2610, 2991, 2992, 3007, 3006, 3216, 3217, 3232, 3231
2611, 2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232
2612, 2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233
2613, 2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234
2614, 2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235
2615, 2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236
2616, 2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237
2617, 2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238
2618, 2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239
2619, 3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241
2620, 3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242
2621, 3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243
2622, 3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244
2623, 3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245
2624, 3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246
2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247
2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248
2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249
2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250
2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251
2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252
2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253
2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254
2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256
2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257
2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258
2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259
2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260
2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261
2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262
2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263
2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264
2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265
2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266
2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267
2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268
2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269
2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271
2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272
2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273
2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274
2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275
2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276
2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277
2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278
2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279
2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280
2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281
2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282
2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283
2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284
2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286
2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287
2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288
2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289
2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290
2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291
2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292
2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293
2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294
2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295
2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296
2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297
2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298
2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299
2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301
2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302
2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303
2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304
2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305
2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306
2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307
2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308
2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309
2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310
2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311
2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312
2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313
2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314
2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316
2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317
2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318
2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319
2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320
2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321
2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322
2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323
2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324
2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325
2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326
2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327
2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328
2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329
2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331
2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332
2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333
2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334
2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335
2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336
2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337
2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338
2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339
2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340
2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341
2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342
2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343
2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344
2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346
2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347
2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348
2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349
2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350
2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351
2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352
2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353
2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354
2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355
2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356
2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357
2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358
2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359
2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361
2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362
2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363
2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364
2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365
2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366
2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367
2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368
2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369
2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370
2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371
2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372
2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373
2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=250
108.8257, 114.8205, -200.6181, 1, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=250
-80.5054, 82.0742, 17.3422, 2, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=250
149.6665, 80.49079, -78.76342, 3, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=250
28.10359, 108.188, -63.61463, 4, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=250
98.38628, 154.3993, -108.6097, 5, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=250
-127.7287, 66.69494, 121.3438, 6, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=250
-42.82988, 109.5869, 215.743, 7, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN8
*Depvar
12,
*User Material, constants=250
53.38176, 109.735, 34.82223, 8, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN9
*Depvar
12,
*User Material, constants=250
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0, 0, 0, 0, 1, 0, 0, 0
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
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*Depvar
12,
*User Material, constants=250
23.5388, 53.8013, -0.916204, 10, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
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*Depvar
12,
*User Material, constants=250
84.299, 47.4888, -73.2774, 11, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN12
*Depvar
12,
*User Material, constants=250
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0, 0, 0, 0, 1, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN13
*Depvar
12,
*User Material, constants=250
197.0661, 72.05134, -131.3708, 13, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN14
*Depvar
12,
*User Material, constants=250
136.013, 60.22716, -133.3626, 14, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
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1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN15
*Depvar
12,
*User Material, constants=250
-66.36832, 77.01576, 226.3123, 15, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN16
*Depvar
12,
*User Material, constants=250
-191.9405, 50.7967, 101.5178, 16, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN17
*Depvar
12,
*User Material, constants=250
75.1534, 93.1708, 29.2273, 17, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN18
*Depvar
12,
*User Material, constants=250
-87.95818, 171.4172, 256.945, 18, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN19
*Depvar
12,
*User Material, constants=250
122.553, 125.5239, -178.1935, 19, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN20
*Depvar
12,
*User Material, constants=250
-109.3601, 154.3937, 175.3119, 20, 2, 1, 12, 6
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0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN21
*Depvar
12,
*User Material, constants=250
108.3616, 174.633, -180.4561, 21, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
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0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
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0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN22
*Depvar
12,
*User Material, constants=250
85.6549, 113.8485, 63.69237, 22, 2, 1, 12, 6
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**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.01, 10., 1e-05, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Neper2Abaqus/Step-2a Matlab/abq_hex.msh
================================================
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1785 1.000000000000 0.928571428571 0.500000000000
1786 0.000000000000 1.000000000000 0.500000000000
1787 0.071428571429 1.000000000000 0.500000000000
1788 0.142857142857 1.000000000000 0.500000000000
1789 0.214285714286 1.000000000000 0.500000000000
1790 0.285714285714 1.000000000000 0.500000000000
1791 0.357142857143 1.000000000000 0.500000000000
1792 0.428571428571 1.000000000000 0.500000000000
1793 0.500000000000 1.000000000000 0.500000000000
1794 0.571428571429 1.000000000000 0.500000000000
1795 0.642857142857 1.000000000000 0.500000000000
1796 0.714285714286 1.000000000000 0.500000000000
1797 0.785714285714 1.000000000000 0.500000000000
1798 0.857142857143 1.000000000000 0.500000000000
1799 0.928571428571 1.000000000000 0.500000000000
1800 1.000000000000 1.000000000000 0.500000000000
1801 0.000000000000 0.000000000000 0.571428571429
1802 0.071428571429 0.000000000000 0.571428571429
1803 0.142857142857 0.000000000000 0.571428571429
1804 0.214285714286 0.000000000000 0.571428571429
1805 0.285714285714 0.000000000000 0.571428571429
1806 0.357142857143 0.000000000000 0.571428571429
1807 0.428571428571 0.000000000000 0.571428571429
1808 0.500000000000 0.000000000000 0.571428571429
1809 0.571428571429 0.000000000000 0.571428571429
1810 0.642857142857 0.000000000000 0.571428571429
1811 0.714285714286 0.000000000000 0.571428571429
1812 0.785714285714 0.000000000000 0.571428571429
1813 0.857142857143 0.000000000000 0.571428571429
1814 0.928571428571 0.000000000000 0.571428571429
1815 1.000000000000 0.000000000000 0.571428571429
1816 0.000000000000 0.071428571429 0.571428571429
1817 0.071428571429 0.071428571429 0.571428571429
1818 0.142857142857 0.071428571429 0.571428571429
1819 0.214285714286 0.071428571429 0.571428571429
1820 0.285714285714 0.071428571429 0.571428571429
1821 0.357142857143 0.071428571429 0.571428571429
1822 0.428571428571 0.071428571429 0.571428571429
1823 0.500000000000 0.071428571429 0.571428571429
1824 0.571428571429 0.071428571429 0.571428571429
1825 0.642857142857 0.071428571429 0.571428571429
1826 0.714285714286 0.071428571429 0.571428571429
1827 0.785714285714 0.071428571429 0.571428571429
1828 0.857142857143 0.071428571429 0.571428571429
1829 0.928571428571 0.071428571429 0.571428571429
1830 1.000000000000 0.071428571429 0.571428571429
1831 0.000000000000 0.142857142857 0.571428571429
1832 0.071428571429 0.142857142857 0.571428571429
1833 0.142857142857 0.142857142857 0.571428571429
1834 0.214285714286 0.142857142857 0.571428571429
1835 0.285714285714 0.142857142857 0.571428571429
1836 0.357142857143 0.142857142857 0.571428571429
1837 0.428571428571 0.142857142857 0.571428571429
1838 0.500000000000 0.142857142857 0.571428571429
1839 0.571428571429 0.142857142857 0.571428571429
1840 0.642857142857 0.142857142857 0.571428571429
1841 0.714285714286 0.142857142857 0.571428571429
1842 0.785714285714 0.142857142857 0.571428571429
1843 0.857142857143 0.142857142857 0.571428571429
1844 0.928571428571 0.142857142857 0.571428571429
1845 1.000000000000 0.142857142857 0.571428571429
1846 0.000000000000 0.214285714286 0.571428571429
1847 0.071428571429 0.214285714286 0.571428571429
1848 0.142857142857 0.214285714286 0.571428571429
1849 0.214285714286 0.214285714286 0.571428571429
1850 0.285714285714 0.214285714286 0.571428571429
1851 0.357142857143 0.214285714286 0.571428571429
1852 0.428571428571 0.214285714286 0.571428571429
1853 0.500000000000 0.214285714286 0.571428571429
1854 0.571428571429 0.214285714286 0.571428571429
1855 0.642857142857 0.214285714286 0.571428571429
1856 0.714285714286 0.214285714286 0.571428571429
1857 0.785714285714 0.214285714286 0.571428571429
1858 0.857142857143 0.214285714286 0.571428571429
1859 0.928571428571 0.214285714286 0.571428571429
1860 1.000000000000 0.214285714286 0.571428571429
1861 0.000000000000 0.285714285714 0.571428571429
1862 0.071428571429 0.285714285714 0.571428571429
1863 0.142857142857 0.285714285714 0.571428571429
1864 0.214285714286 0.285714285714 0.571428571429
1865 0.285714285714 0.285714285714 0.571428571429
1866 0.357142857143 0.285714285714 0.571428571429
1867 0.428571428571 0.285714285714 0.571428571429
1868 0.500000000000 0.285714285714 0.571428571429
1869 0.571428571429 0.285714285714 0.571428571429
1870 0.642857142857 0.285714285714 0.571428571429
1871 0.714285714286 0.285714285714 0.571428571429
1872 0.785714285714 0.285714285714 0.571428571429
1873 0.857142857143 0.285714285714 0.571428571429
1874 0.928571428571 0.285714285714 0.571428571429
1875 1.000000000000 0.285714285714 0.571428571429
1876 0.000000000000 0.357142857143 0.571428571429
1877 0.071428571429 0.357142857143 0.571428571429
1878 0.142857142857 0.357142857143 0.571428571429
1879 0.214285714286 0.357142857143 0.571428571429
1880 0.285714285714 0.357142857143 0.571428571429
1881 0.357142857143 0.357142857143 0.571428571429
1882 0.428571428571 0.357142857143 0.571428571429
1883 0.500000000000 0.357142857143 0.571428571429
1884 0.571428571429 0.357142857143 0.571428571429
1885 0.642857142857 0.357142857143 0.571428571429
1886 0.714285714286 0.357142857143 0.571428571429
1887 0.785714285714 0.357142857143 0.571428571429
1888 0.857142857143 0.357142857143 0.571428571429
1889 0.928571428571 0.357142857143 0.571428571429
1890 1.000000000000 0.357142857143 0.571428571429
1891 0.000000000000 0.428571428571 0.571428571429
1892 0.071428571429 0.428571428571 0.571428571429
1893 0.142857142857 0.428571428571 0.571428571429
1894 0.214285714286 0.428571428571 0.571428571429
1895 0.285714285714 0.428571428571 0.571428571429
1896 0.357142857143 0.428571428571 0.571428571429
1897 0.428571428571 0.428571428571 0.571428571429
1898 0.500000000000 0.428571428571 0.571428571429
1899 0.571428571429 0.428571428571 0.571428571429
1900 0.642857142857 0.428571428571 0.571428571429
1901 0.714285714286 0.428571428571 0.571428571429
1902 0.785714285714 0.428571428571 0.571428571429
1903 0.857142857143 0.428571428571 0.571428571429
1904 0.928571428571 0.428571428571 0.571428571429
1905 1.000000000000 0.428571428571 0.571428571429
1906 0.000000000000 0.500000000000 0.571428571429
1907 0.071428571429 0.500000000000 0.571428571429
1908 0.142857142857 0.500000000000 0.571428571429
1909 0.214285714286 0.500000000000 0.571428571429
1910 0.285714285714 0.500000000000 0.571428571429
1911 0.357142857143 0.500000000000 0.571428571429
1912 0.428571428571 0.500000000000 0.571428571429
1913 0.500000000000 0.500000000000 0.571428571429
1914 0.571428571429 0.500000000000 0.571428571429
1915 0.642857142857 0.500000000000 0.571428571429
1916 0.714285714286 0.500000000000 0.571428571429
1917 0.785714285714 0.500000000000 0.571428571429
1918 0.857142857143 0.500000000000 0.571428571429
1919 0.928571428571 0.500000000000 0.571428571429
1920 1.000000000000 0.500000000000 0.571428571429
1921 0.000000000000 0.571428571429 0.571428571429
1922 0.071428571429 0.571428571429 0.571428571429
1923 0.142857142857 0.571428571429 0.571428571429
1924 0.214285714286 0.571428571429 0.571428571429
1925 0.285714285714 0.571428571429 0.571428571429
1926 0.357142857143 0.571428571429 0.571428571429
1927 0.428571428571 0.571428571429 0.571428571429
1928 0.500000000000 0.571428571429 0.571428571429
1929 0.571428571429 0.571428571429 0.571428571429
1930 0.642857142857 0.571428571429 0.571428571429
1931 0.714285714286 0.571428571429 0.571428571429
1932 0.785714285714 0.571428571429 0.571428571429
1933 0.857142857143 0.571428571429 0.571428571429
1934 0.928571428571 0.571428571429 0.571428571429
1935 1.000000000000 0.571428571429 0.571428571429
1936 0.000000000000 0.642857142857 0.571428571429
1937 0.071428571429 0.642857142857 0.571428571429
1938 0.142857142857 0.642857142857 0.571428571429
1939 0.214285714286 0.642857142857 0.571428571429
1940 0.285714285714 0.642857142857 0.571428571429
1941 0.357142857143 0.642857142857 0.571428571429
1942 0.428571428571 0.642857142857 0.571428571429
1943 0.500000000000 0.642857142857 0.571428571429
1944 0.571428571429 0.642857142857 0.571428571429
1945 0.642857142857 0.642857142857 0.571428571429
1946 0.714285714286 0.642857142857 0.571428571429
1947 0.785714285714 0.642857142857 0.571428571429
1948 0.857142857143 0.642857142857 0.571428571429
1949 0.928571428571 0.642857142857 0.571428571429
1950 1.000000000000 0.642857142857 0.571428571429
1951 0.000000000000 0.714285714286 0.571428571429
1952 0.071428571429 0.714285714286 0.571428571429
1953 0.142857142857 0.714285714286 0.571428571429
1954 0.214285714286 0.714285714286 0.571428571429
1955 0.285714285714 0.714285714286 0.571428571429
1956 0.357142857143 0.714285714286 0.571428571429
1957 0.428571428571 0.714285714286 0.571428571429
1958 0.500000000000 0.714285714286 0.571428571429
1959 0.571428571429 0.714285714286 0.571428571429
1960 0.642857142857 0.714285714286 0.571428571429
1961 0.714285714286 0.714285714286 0.571428571429
1962 0.785714285714 0.714285714286 0.571428571429
1963 0.857142857143 0.714285714286 0.571428571429
1964 0.928571428571 0.714285714286 0.571428571429
1965 1.000000000000 0.714285714286 0.571428571429
1966 0.000000000000 0.785714285714 0.571428571429
1967 0.071428571429 0.785714285714 0.571428571429
1968 0.142857142857 0.785714285714 0.571428571429
1969 0.214285714286 0.785714285714 0.571428571429
1970 0.285714285714 0.785714285714 0.571428571429
1971 0.357142857143 0.785714285714 0.571428571429
1972 0.428571428571 0.785714285714 0.571428571429
1973 0.500000000000 0.785714285714 0.571428571429
1974 0.571428571429 0.785714285714 0.571428571429
1975 0.642857142857 0.785714285714 0.571428571429
1976 0.714285714286 0.785714285714 0.571428571429
1977 0.785714285714 0.785714285714 0.571428571429
1978 0.857142857143 0.785714285714 0.571428571429
1979 0.928571428571 0.785714285714 0.571428571429
1980 1.000000000000 0.785714285714 0.571428571429
1981 0.000000000000 0.857142857143 0.571428571429
1982 0.071428571429 0.857142857143 0.571428571429
1983 0.142857142857 0.857142857143 0.571428571429
1984 0.214285714286 0.857142857143 0.571428571429
1985 0.285714285714 0.857142857143 0.571428571429
1986 0.357142857143 0.857142857143 0.571428571429
1987 0.428571428571 0.857142857143 0.571428571429
1988 0.500000000000 0.857142857143 0.571428571429
1989 0.571428571429 0.857142857143 0.571428571429
1990 0.642857142857 0.857142857143 0.571428571429
1991 0.714285714286 0.857142857143 0.571428571429
1992 0.785714285714 0.857142857143 0.571428571429
1993 0.857142857143 0.857142857143 0.571428571429
1994 0.928571428571 0.857142857143 0.571428571429
1995 1.000000000000 0.857142857143 0.571428571429
1996 0.000000000000 0.928571428571 0.571428571429
1997 0.071428571429 0.928571428571 0.571428571429
1998 0.142857142857 0.928571428571 0.571428571429
1999 0.214285714286 0.928571428571 0.571428571429
2000 0.285714285714 0.928571428571 0.571428571429
2001 0.357142857143 0.928571428571 0.571428571429
2002 0.428571428571 0.928571428571 0.571428571429
2003 0.500000000000 0.928571428571 0.571428571429
2004 0.571428571429 0.928571428571 0.571428571429
2005 0.642857142857 0.928571428571 0.571428571429
2006 0.714285714286 0.928571428571 0.571428571429
2007 0.785714285714 0.928571428571 0.571428571429
2008 0.857142857143 0.928571428571 0.571428571429
2009 0.928571428571 0.928571428571 0.571428571429
2010 1.000000000000 0.928571428571 0.571428571429
2011 0.000000000000 1.000000000000 0.571428571429
2012 0.071428571429 1.000000000000 0.571428571429
2013 0.142857142857 1.000000000000 0.571428571429
2014 0.214285714286 1.000000000000 0.571428571429
2015 0.285714285714 1.000000000000 0.571428571429
2016 0.357142857143 1.000000000000 0.571428571429
2017 0.428571428571 1.000000000000 0.571428571429
2018 0.500000000000 1.000000000000 0.571428571429
2019 0.571428571429 1.000000000000 0.571428571429
2020 0.642857142857 1.000000000000 0.571428571429
2021 0.714285714286 1.000000000000 0.571428571429
2022 0.785714285714 1.000000000000 0.571428571429
2023 0.857142857143 1.000000000000 0.571428571429
2024 0.928571428571 1.000000000000 0.571428571429
2025 1.000000000000 1.000000000000 0.571428571429
2026 0.000000000000 0.000000000000 0.642857142857
2027 0.071428571429 0.000000000000 0.642857142857
2028 0.142857142857 0.000000000000 0.642857142857
2029 0.214285714286 0.000000000000 0.642857142857
2030 0.285714285714 0.000000000000 0.642857142857
2031 0.357142857143 0.000000000000 0.642857142857
2032 0.428571428571 0.000000000000 0.642857142857
2033 0.500000000000 0.000000000000 0.642857142857
2034 0.571428571429 0.000000000000 0.642857142857
2035 0.642857142857 0.000000000000 0.642857142857
2036 0.714285714286 0.000000000000 0.642857142857
2037 0.785714285714 0.000000000000 0.642857142857
2038 0.857142857143 0.000000000000 0.642857142857
2039 0.928571428571 0.000000000000 0.642857142857
2040 1.000000000000 0.000000000000 0.642857142857
2041 0.000000000000 0.071428571429 0.642857142857
2042 0.071428571429 0.071428571429 0.642857142857
2043 0.142857142857 0.071428571429 0.642857142857
2044 0.214285714286 0.071428571429 0.642857142857
2045 0.285714285714 0.071428571429 0.642857142857
2046 0.357142857143 0.071428571429 0.642857142857
2047 0.428571428571 0.071428571429 0.642857142857
2048 0.500000000000 0.071428571429 0.642857142857
2049 0.571428571429 0.071428571429 0.642857142857
2050 0.642857142857 0.071428571429 0.642857142857
2051 0.714285714286 0.071428571429 0.642857142857
2052 0.785714285714 0.071428571429 0.642857142857
2053 0.857142857143 0.071428571429 0.642857142857
2054 0.928571428571 0.071428571429 0.642857142857
2055 1.000000000000 0.071428571429 0.642857142857
2056 0.000000000000 0.142857142857 0.642857142857
2057 0.071428571429 0.142857142857 0.642857142857
2058 0.142857142857 0.142857142857 0.642857142857
2059 0.214285714286 0.142857142857 0.642857142857
2060 0.285714285714 0.142857142857 0.642857142857
2061 0.357142857143 0.142857142857 0.642857142857
2062 0.428571428571 0.142857142857 0.642857142857
2063 0.500000000000 0.142857142857 0.642857142857
2064 0.571428571429 0.142857142857 0.642857142857
2065 0.642857142857 0.142857142857 0.642857142857
2066 0.714285714286 0.142857142857 0.642857142857
2067 0.785714285714 0.142857142857 0.642857142857
2068 0.857142857143 0.142857142857 0.642857142857
2069 0.928571428571 0.142857142857 0.642857142857
2070 1.000000000000 0.142857142857 0.642857142857
2071 0.000000000000 0.214285714286 0.642857142857
2072 0.071428571429 0.214285714286 0.642857142857
2073 0.142857142857 0.214285714286 0.642857142857
2074 0.214285714286 0.214285714286 0.642857142857
2075 0.285714285714 0.214285714286 0.642857142857
2076 0.357142857143 0.214285714286 0.642857142857
2077 0.428571428571 0.214285714286 0.642857142857
2078 0.500000000000 0.214285714286 0.642857142857
2079 0.571428571429 0.214285714286 0.642857142857
2080 0.642857142857 0.214285714286 0.642857142857
2081 0.714285714286 0.214285714286 0.642857142857
2082 0.785714285714 0.214285714286 0.642857142857
2083 0.857142857143 0.214285714286 0.642857142857
2084 0.928571428571 0.214285714286 0.642857142857
2085 1.000000000000 0.214285714286 0.642857142857
2086 0.000000000000 0.285714285714 0.642857142857
2087 0.071428571429 0.285714285714 0.642857142857
2088 0.142857142857 0.285714285714 0.642857142857
2089 0.214285714286 0.285714285714 0.642857142857
2090 0.285714285714 0.285714285714 0.642857142857
2091 0.357142857143 0.285714285714 0.642857142857
2092 0.428571428571 0.285714285714 0.642857142857
2093 0.500000000000 0.285714285714 0.642857142857
2094 0.571428571429 0.285714285714 0.642857142857
2095 0.642857142857 0.285714285714 0.642857142857
2096 0.714285714286 0.285714285714 0.642857142857
2097 0.785714285714 0.285714285714 0.642857142857
2098 0.857142857143 0.285714285714 0.642857142857
2099 0.928571428571 0.285714285714 0.642857142857
2100 1.000000000000 0.285714285714 0.642857142857
2101 0.000000000000 0.357142857143 0.642857142857
2102 0.071428571429 0.357142857143 0.642857142857
2103 0.142857142857 0.357142857143 0.642857142857
2104 0.214285714286 0.357142857143 0.642857142857
2105 0.285714285714 0.357142857143 0.642857142857
2106 0.357142857143 0.357142857143 0.642857142857
2107 0.428571428571 0.357142857143 0.642857142857
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529 5 3 11 11 0 596 597 612 611 821 822 837 836
530 5 3 11 11 0 597 598 613 612 822 823 838 837
531 5 3 11 11 0 598 599 614 613 823 824 839 838
532 5 3 11 11 0 599 600 615 614 824 825 840 839
533 5 3 1 1 0 601 602 617 616 826 827 842 841
534 5 3 1 1 0 602 603 618 617 827 828 843 842
535 5 3 1 1 0 603 604 619 618 828 829 844 843
536 5 3 1 1 0 604 605 620 619 829 830 845 844
537 5 3 1 1 0 605 606 621 620 830 831 846 845
538 5 3 1 1 0 606 607 622 621 831 832 847 846
539 5 3 1 1 0 607 608 623 622 832 833 848 847
540 5 3 1 1 0 608 609 624 623 833 834 849 848
541 5 3 1 1 0 609 610 625 624 834 835 850 849
542 5 3 11 11 0 610 611 626 625 835 836 851 850
543 5 3 11 11 0 611 612 627 626 836 837 852 851
544 5 3 11 11 0 612 613 628 627 837 838 853 852
545 5 3 11 11 0 613 614 629 628 838 839 854 853
546 5 3 11 11 0 614 615 630 629 839 840 855 854
547 5 3 1 1 0 616 617 632 631 841 842 857 856
548 5 3 1 1 0 617 618 633 632 842 843 858 857
549 5 3 1 1 0 618 619 634 633 843 844 859 858
550 5 3 1 1 0 619 620 635 634 844 845 860 859
551 5 3 1 1 0 620 621 636 635 845 846 861 860
552 5 3 1 1 0 621 622 637 636 846 847 862 861
553 5 3 1 1 0 622 623 638 637 847 848 863 862
554 5 3 1 1 0 623 624 639 638 848 849 864 863
555 5 3 1 1 0 624 625 640 639 849 850 865 864
556 5 3 11 11 0 625 626 641 640 850 851 866 865
557 5 3 11 11 0 626 627 642 641 851 852 867 866
558 5 3 11 11 0 627 628 643 642 852 853 868 867
559 5 3 11 11 0 628 629 644 643 853 854 869 868
560 5 3 11 11 0 629 630 645 644 854 855 870 869
561 5 3 1 1 0 631 632 647 646 856 857 872 871
562 5 3 1 1 0 632 633 648 647 857 858 873 872
563 5 3 1 1 0 633 634 649 648 858 859 874 873
564 5 3 1 1 0 634 635 650 649 859 860 875 874
565 5 3 1 1 0 635 636 651 650 860 861 876 875
566 5 3 1 1 0 636 637 652 651 861 862 877 876
567 5 3 1 1 0 637 638 653 652 862 863 878 877
568 5 3 1 1 0 638 639 654 653 863 864 879 878
569 5 3 1 1 0 639 640 655 654 864 865 880 879
570 5 3 11 11 0 640 641 656 655 865 866 881 880
571 5 3 11 11 0 641 642 657 656 866 867 882 881
572 5 3 11 11 0 642 643 658 657 867 868 883 882
573 5 3 11 11 0 643 644 659 658 868 869 884 883
574 5 3 11 11 0 644 645 660 659 869 870 885 884
575 5 3 1 1 0 646 647 662 661 871 872 887 886
576 5 3 1 1 0 647 648 663 662 872 873 888 887
577 5 3 1 1 0 648 649 664 663 873 874 889 888
578 5 3 1 1 0 649 650 665 664 874 875 890 889
579 5 3 1 1 0 650 651 666 665 875 876 891 890
580 5 3 1 1 0 651 652 667 666 876 877 892 891
581 5 3 1 1 0 652 653 668 667 877 878 893 892
582 5 3 1 1 0 653 654 669 668 878 879 894 893
583 5 3 1 1 0 654 655 670 669 879 880 895 894
584 5 3 11 11 0 655 656 671 670 880 881 896 895
585 5 3 11 11 0 656 657 672 671 881 882 897 896
586 5 3 11 11 0 657 658 673 672 882 883 898 897
587 5 3 11 11 0 658 659 674 673 883 884 899 898
588 5 3 11 11 0 659 660 675 674 884 885 900 899
589 5 3 19 19 0 676 677 692 691 901 902 917 916
590 5 3 19 19 0 677 678 693 692 902 903 918 917
591 5 3 19 19 0 678 679 694 693 903 904 919 918
592 5 3 19 19 0 679 680 695 694 904 905 920 919
593 5 3 19 19 0 680 681 696 695 905 906 921 920
594 5 3 19 19 0 681 682 697 696 906 907 922 921
595 5 3 19 19 0 682 683 698 697 907 908 923 922
596 5 3 19 19 0 683 684 699 698 908 909 924 923
597 5 3 20 20 0 684 685 700 699 909 910 925 924
598 5 3 20 20 0 685 686 701 700 910 911 926 925
599 5 3 20 20 0 686 687 702 701 911 912 927 926
600 5 3 20 20 0 687 688 703 702 912 913 928 927
601 5 3 20 20 0 688 689 704 703 913 914 929 928
602 5 3 20 20 0 689 690 705 704 914 915 930 929
603 5 3 19 19 0 691 692 707 706 916 917 932 931
604 5 3 19 19 0 692 693 708 707 917 918 933 932
605 5 3 19 19 0 693 694 709 708 918 919 934 933
606 5 3 19 19 0 694 695 710 709 919 920 935 934
607 5 3 19 19 0 695 696 711 710 920 921 936 935
608 5 3 19 19 0 696 697 712 711 921 922 937 936
609 5 3 19 19 0 697 698 713 712 922 923 938 937
610 5 3 19 19 0 698 699 714 713 923 924 939 938
611 5 3 20 20 0 699 700 715 714 924 925 940 939
612 5 3 20 20 0 700 701 716 715 925 926 941 940
613 5 3 20 20 0 701 702 717 716 926 927 942 941
614 5 3 20 20 0 702 703 718 717 927 928 943 942
615 5 3 20 20 0 703 704 719 718 928 929 944 943
616 5 3 20 20 0 704 705 720 719 929 930 945 944
617 5 3 19 19 0 706 707 722 721 931 932 947 946
618 5 3 19 19 0 707 708 723 722 932 933 948 947
619 5 3 19 19 0 708 709 724 723 933 934 949 948
620 5 3 19 19 0 709 710 725 724 934 935 950 949
621 5 3 19 19 0 710 711 726 725 935 936 951 950
622 5 3 19 19 0 711 712 727 726 936 937 952 951
623 5 3 19 19 0 712 713 728 727 937 938 953 952
624 5 3 19 19 0 713 714 729 728 938 939 954 953
625 5 3 20 20 0 714 715 730 729 939 940 955 954
626 5 3 20 20 0 715 716 731 730 940 941 956 955
627 5 3 20 20 0 716 717 732 731 941 942 957 956
628 5 3 20 20 0 717 718 733 732 942 943 958 957
629 5 3 20 20 0 718 719 734 733 943 944 959 958
630 5 3 20 20 0 719 720 735 734 944 945 960 959
631 5 3 19 19 0 721 722 737 736 946 947 962 961
632 5 3 19 19 0 722 723 738 737 947 948 963 962
633 5 3 19 19 0 723 724 739 738 948 949 964 963
634 5 3 19 19 0 724 725 740 739 949 950 965 964
635 5 3 19 19 0 725 726 741 740 950 951 966 965
636 5 3 19 19 0 726 727 742 741 951 952 967 966
637 5 3 19 19 0 727 728 743 742 952 953 968 967
638 5 3 19 19 0 728 729 744 743 953 954 969 968
639 5 3 20 20 0 729 730 745 744 954 955 970 969
640 5 3 20 20 0 730 731 746 745 955 956 971 970
641 5 3 20 20 0 731 732 747 746 956 957 972 971
642 5 3 20 20 0 732 733 748 747 957 958 973 972
643 5 3 20 20 0 733 734 749 748 958 959 974 973
644 5 3 20 20 0 734 735 750 749 959 960 975 974
645 5 3 19 19 0 736 737 752 751 961 962 977 976
646 5 3 19 19 0 737 738 753 752 962 963 978 977
647 5 3 19 19 0 738 739 754 753 963 964 979 978
648 5 3 19 19 0 739 740 755 754 964 965 980 979
649 5 3 19 19 0 740 741 756 755 965 966 981 980
650 5 3 19 19 0 741 742 757 756 966 967 982 981
651 5 3 19 19 0 742 743 758 757 967 968 983 982
652 5 3 19 19 0 743 744 759 758 968 969 984 983
653 5 3 20 20 0 744 745 760 759 969 970 985 984
654 5 3 20 20 0 745 746 761 760 970 971 986 985
655 5 3 20 20 0 746 747 762 761 971 972 987 986
656 5 3 20 20 0 747 748 763 762 972 973 988 987
657 5 3 20 20 0 748 749 764 763 973 974 989 988
658 5 3 20 20 0 749 750 765 764 974 975 990 989
659 5 3 19 19 0 751 752 767 766 976 977 992 991
660 5 3 19 19 0 752 753 768 767 977 978 993 992
661 5 3 19 19 0 753 754 769 768 978 979 994 993
662 5 3 19 19 0 754 755 770 769 979 980 995 994
663 5 3 19 19 0 755 756 771 770 980 981 996 995
664 5 3 19 19 0 756 757 772 771 981 982 997 996
665 5 3 19 19 0 757 758 773 772 982 983 998 997
666 5 3 19 19 0 758 759 774 773 983 984 999 998
667 5 3 14 14 0 759 760 775 774 984 985 1000 999
668 5 3 20 20 0 760 761 776 775 985 986 1001 1000
669 5 3 20 20 0 761 762 777 776 986 987 1002 1001
670 5 3 20 20 0 762 763 778 777 987 988 1003 1002
671 5 3 20 20 0 763 764 779 778 988 989 1004 1003
672 5 3 20 20 0 764 765 780 779 989 990 1005 1004
673 5 3 1 1 0 766 767 782 781 991 992 1007 1006
674 5 3 1 1 0 767 768 783 782 992 993 1008 1007
675 5 3 1 1 0 768 769 784 783 993 994 1009 1008
676 5 3 1 1 0 769 770 785 784 994 995 1010 1009
677 5 3 1 1 0 770 771 786 785 995 996 1011 1010
678 5 3 1 1 0 771 772 787 786 996 997 1012 1011
679 5 3 1 1 0 772 773 788 787 997 998 1013 1012
680 5 3 14 14 0 773 774 789 788 998 999 1014 1013
681 5 3 14 14 0 774 775 790 789 999 1000 1015 1014
682 5 3 14 14 0 775 776 791 790 1000 1001 1016 1015
683 5 3 14 14 0 776 777 792 791 1001 1002 1017 1016
684 5 3 20 20 0 777 778 793 792 1002 1003 1018 1017
685 5 3 20 20 0 778 779 794 793 1003 1004 1019 1018
686 5 3 20 20 0 779 780 795 794 1004 1005 1020 1019
687 5 3 1 1 0 781 782 797 796 1006 1007 1022 1021
688 5 3 1 1 0 782 783 798 797 1007 1008 1023 1022
689 5 3 1 1 0 783 784 799 798 1008 1009 1024 1023
690 5 3 1 1 0 784 785 800 799 1009 1010 1025 1024
691 5 3 1 1 0 785 786 801 800 1010 1011 1026 1025
692 5 3 1 1 0 786 787 802 801 1011 1012 1027 1026
693 5 3 1 1 0 787 788 803 802 1012 1013 1028 1027
694 5 3 14 14 0 788 789 804 803 1013 1014 1029 1028
695 5 3 14 14 0 789 790 805 804 1014 1015 1030 1029
696 5 3 14 14 0 790 791 806 805 1015 1016 1031 1030
697 5 3 14 14 0 791 792 807 806 1016 1017 1032 1031
698 5 3 14 14 0 792 793 808 807 1017 1018 1033 1032
699 5 3 13 13 0 793 794 809 808 1018 1019 1034 1033
700 5 3 13 13 0 794 795 810 809 1019 1020 1035 1034
701 5 3 1 1 0 796 797 812 811 1021 1022 1037 1036
702 5 3 1 1 0 797 798 813 812 1022 1023 1038 1037
703 5 3 1 1 0 798 799 814 813 1023 1024 1039 1038
704 5 3 1 1 0 799 800 815 814 1024 1025 1040 1039
705 5 3 1 1 0 800 801 816 815 1025 1026 1041 1040
706 5 3 1 1 0 801 802 817 816 1026 1027 1042 1041
707 5 3 1 1 0 802 803 818 817 1027 1028 1043 1042
708 5 3 1 1 0 803 804 819 818 1028 1029 1044 1043
709 5 3 14 14 0 804 805 820 819 1029 1030 1045 1044
710 5 3 14 14 0 805 806 821 820 1030 1031 1046 1045
711 5 3 14 14 0 806 807 822 821 1031 1032 1047 1046
712 5 3 11 11 0 807 808 823 822 1032 1033 1048 1047
713 5 3 11 11 0 808 809 824 823 1033 1034 1049 1048
714 5 3 11 11 0 809 810 825 824 1034 1035 1050 1049
715 5 3 1 1 0 811 812 827 826 1036 1037 1052 1051
716 5 3 1 1 0 812 813 828 827 1037 1038 1053 1052
717 5 3 1 1 0 813 814 829 828 1038 1039 1054 1053
718 5 3 1 1 0 814 815 830 829 1039 1040 1055 1054
719 5 3 1 1 0 815 816 831 830 1040 1041 1056 1055
720 5 3 1 1 0 816 817 832 831 1041 1042 1057 1056
721 5 3 1 1 0 817 818 833 832 1042 1043 1058 1057
722 5 3 1 1 0 818 819 834 833 1043 1044 1059 1058
723 5 3 1 1 0 819 820 835 834 1044 1045 1060 1059
724 5 3 11 11 0 820 821 836 835 1045 1046 1061 1060
725 5 3 11 11 0 821 822 837 836 1046 1047 1062 1061
726 5 3 11 11 0 822 823 838 837 1047 1048 1063 1062
727 5 3 11 11 0 823 824 839 838 1048 1049 1064 1063
728 5 3 11 11 0 824 825 840 839 1049 1050 1065 1064
729 5 3 1 1 0 826 827 842 841 1051 1052 1067 1066
730 5 3 1 1 0 827 828 843 842 1052 1053 1068 1067
731 5 3 1 1 0 828 829 844 843 1053 1054 1069 1068
732 5 3 1 1 0 829 830 845 844 1054 1055 1070 1069
733 5 3 1 1 0 830 831 846 845 1055 1056 1071 1070
734 5 3 1 1 0 831 832 847 846 1056 1057 1072 1071
735 5 3 1 1 0 832 833 848 847 1057 1058 1073 1072
736 5 3 1 1 0 833 834 849 848 1058 1059 1074 1073
737 5 3 1 1 0 834 835 850 849 1059 1060 1075 1074
738 5 3 11 11 0 835 836 851 850 1060 1061 1076 1075
739 5 3 11 11 0 836 837 852 851 1061 1062 1077 1076
740 5 3 11 11 0 837 838 853 852 1062 1063 1078 1077
741 5 3 11 11 0 838 839 854 853 1063 1064 1079 1078
742 5 3 11 11 0 839 840 855 854 1064 1065 1080 1079
743 5 3 1 1 0 841 842 857 856 1066 1067 1082 1081
744 5 3 1 1 0 842 843 858 857 1067 1068 1083 1082
745 5 3 1 1 0 843 844 859 858 1068 1069 1084 1083
746 5 3 1 1 0 844 845 860 859 1069 1070 1085 1084
747 5 3 1 1 0 845 846 861 860 1070 1071 1086 1085
748 5 3 1 1 0 846 847 862 861 1071 1072 1087 1086
749 5 3 1 1 0 847 848 863 862 1072 1073 1088 1087
750 5 3 1 1 0 848 849 864 863 1073 1074 1089 1088
751 5 3 1 1 0 849 850 865 864 1074 1075 1090 1089
752 5 3 11 11 0 850 851 866 865 1075 1076 1091 1090
753 5 3 11 11 0 851 852 867 866 1076 1077 1092 1091
754 5 3 11 11 0 852 853 868 867 1077 1078 1093 1092
755 5 3 11 11 0 853 854 869 868 1078 1079 1094 1093
756 5 3 11 11 0 854 855 870 869 1079 1080 1095 1094
757 5 3 1 1 0 856 857 872 871 1081 1082 1097 1096
758 5 3 1 1 0 857 858 873 872 1082 1083 1098 1097
759 5 3 1 1 0 858 859 874 873 1083 1084 1099 1098
760 5 3 1 1 0 859 860 875 874 1084 1085 1100 1099
761 5 3 1 1 0 860 861 876 875 1085 1086 1101 1100
762 5 3 1 1 0 861 862 877 876 1086 1087 1102 1101
763 5 3 1 1 0 862 863 878 877 1087 1088 1103 1102
764 5 3 1 1 0 863 864 879 878 1088 1089 1104 1103
765 5 3 1 1 0 864 865 880 879 1089 1090 1105 1104
766 5 3 11 11 0 865 866 881 880 1090 1091 1106 1105
767 5 3 11 11 0 866 867 882 881 1091 1092 1107 1106
768 5 3 11 11 0 867 868 883 882 1092 1093 1108 1107
769 5 3 11 11 0 868 869 884 883 1093 1094 1109 1108
770 5 3 11 11 0 869 870 885 884 1094 1095 1110 1109
771 5 3 1 1 0 871 872 887 886 1096 1097 1112 1111
772 5 3 1 1 0 872 873 888 887 1097 1098 1113 1112
773 5 3 1 1 0 873 874 889 888 1098 1099 1114 1113
774 5 3 1 1 0 874 875 890 889 1099 1100 1115 1114
775 5 3 1 1 0 875 876 891 890 1100 1101 1116 1115
776 5 3 1 1 0 876 877 892 891 1101 1102 1117 1116
777 5 3 1 1 0 877 878 893 892 1102 1103 1118 1117
778 5 3 1 1 0 878 879 894 893 1103 1104 1119 1118
779 5 3 1 1 0 879 880 895 894 1104 1105 1120 1119
780 5 3 11 11 0 880 881 896 895 1105 1106 1121 1120
781 5 3 11 11 0 881 882 897 896 1106 1107 1122 1121
782 5 3 11 11 0 882 883 898 897 1107 1108 1123 1122
783 5 3 11 11 0 883 884 899 898 1108 1109 1124 1123
784 5 3 11 11 0 884 885 900 899 1109 1110 1125 1124
785 5 3 19 19 0 901 902 917 916 1126 1127 1142 1141
786 5 3 19 19 0 902 903 918 917 1127 1128 1143 1142
787 5 3 19 19 0 903 904 919 918 1128 1129 1144 1143
788 5 3 19 19 0 904 905 920 919 1129 1130 1145 1144
789 5 3 19 19 0 905 906 921 920 1130 1131 1146 1145
790 5 3 19 19 0 906 907 922 921 1131 1132 1147 1146
791 5 3 19 19 0 907 908 923 922 1132 1133 1148 1147
792 5 3 19 19 0 908 909 924 923 1133 1134 1149 1148
793 5 3 20 20 0 909 910 925 924 1134 1135 1150 1149
794 5 3 20 20 0 910 911 926 925 1135 1136 1151 1150
795 5 3 20 20 0 911 912 927 926 1136 1137 1152 1151
796 5 3 20 20 0 912 913 928 927 1137 1138 1153 1152
797 5 3 20 20 0 913 914 929 928 1138 1139 1154 1153
798 5 3 20 20 0 914 915 930 929 1139 1140 1155 1154
799 5 3 19 19 0 916 917 932 931 1141 1142 1157 1156
800 5 3 19 19 0 917 918 933 932 1142 1143 1158 1157
801 5 3 19 19 0 918 919 934 933 1143 1144 1159 1158
802 5 3 19 19 0 919 920 935 934 1144 1145 1160 1159
803 5 3 19 19 0 920 921 936 935 1145 1146 1161 1160
804 5 3 19 19 0 921 922 937 936 1146 1147 1162 1161
805 5 3 19 19 0 922 923 938 937 1147 1148 1163 1162
806 5 3 19 19 0 923 924 939 938 1148 1149 1164 1163
807 5 3 20 20 0 924 925 940 939 1149 1150 1165 1164
808 5 3 20 20 0 925 926 941 940 1150 1151 1166 1165
809 5 3 20 20 0 926 927 942 941 1151 1152 1167 1166
810 5 3 20 20 0 927 928 943 942 1152 1153 1168 1167
811 5 3 20 20 0 928 929 944 943 1153 1154 1169 1168
812 5 3 20 20 0 929 930 945 944 1154 1155 1170 1169
813 5 3 19 19 0 931 932 947 946 1156 1157 1172 1171
814 5 3 19 19 0 932 933 948 947 1157 1158 1173 1172
815 5 3 19 19 0 933 934 949 948 1158 1159 1174 1173
816 5 3 19 19 0 934 935 950 949 1159 1160 1175 1174
817 5 3 19 19 0 935 936 951 950 1160 1161 1176 1175
818 5 3 19 19 0 936 937 952 951 1161 1162 1177 1176
819 5 3 19 19 0 937 938 953 952 1162 1163 1178 1177
820 5 3 19 19 0 938 939 954 953 1163 1164 1179 1178
821 5 3 20 20 0 939 940 955 954 1164 1165 1180 1179
822 5 3 20 20 0 940 941 956 955 1165 1166 1181 1180
823 5 3 20 20 0 941 942 957 956 1166 1167 1182 1181
824 5 3 20 20 0 942 943 958 957 1167 1168 1183 1182
825 5 3 20 20 0 943 944 959 958 1168 1169 1184 1183
826 5 3 20 20 0 944 945 960 959 1169 1170 1185 1184
827 5 3 2 2 0 946 947 962 961 1171 1172 1187 1186
828 5 3 19 19 0 947 948 963 962 1172 1173 1188 1187
829 5 3 19 19 0 948 949 964 963 1173 1174 1189 1188
830 5 3 19 19 0 949 950 965 964 1174 1175 1190 1189
831 5 3 19 19 0 950 951 966 965 1175 1176 1191 1190
832 5 3 19 19 0 951 952 967 966 1176 1177 1192 1191
833 5 3 19 19 0 952 953 968 967 1177 1178 1193 1192
834 5 3 19 19 0 953 954 969 968 1178 1179 1194 1193
835 5 3 20 20 0 954 955 970 969 1179 1180 1195 1194
836 5 3 20 20 0 955 956 971 970 1180 1181 1196 1195
837 5 3 20 20 0 956 957 972 971 1181 1182 1197 1196
838 5 3 20 20 0 957 958 973 972 1182 1183 1198 1197
839 5 3 20 20 0 958 959 974 973 1183 1184 1199 1198
840 5 3 20 20 0 959 960 975 974 1184 1185 1200 1199
841 5 3 2 2 0 961 962 977 976 1186 1187 1202 1201
842 5 3 2 2 0 962 963 978 977 1187 1188 1203 1202
843 5 3 19 19 0 963 964 979 978 1188 1189 1204 1203
844 5 3 19 19 0 964 965 980 979 1189 1190 1205 1204
845 5 3 19 19 0 965 966 981 980 1190 1191 1206 1205
846 5 3 19 19 0 966 967 982 981 1191 1192 1207 1206
847 5 3 19 19 0 967 968 983 982 1192 1193 1208 1207
848 5 3 8 8 0 968 969 984 983 1193 1194 1209 1208
849 5 3 8 8 0 969 970 985 984 1194 1195 1210 1209
850 5 3 20 20 0 970 971 986 985 1195 1196 1211 1210
851 5 3 20 20 0 971 972 987 986 1196 1197 1212 1211
852 5 3 20 20 0 972 973 988 987 1197 1198 1213 1212
853 5 3 20 20 0 973 974 989 988 1198 1199 1214 1213
854 5 3 20 20 0 974 975 990 989 1199 1200 1215 1214
855 5 3 2 2 0 976 977 992 991 1201 1202 1217 1216
856 5 3 2 2 0 977 978 993 992 1202 1203 1218 1217
857 5 3 19 19 0 978 979 994 993 1203 1204 1219 1218
858 5 3 19 19 0 979 980 995 994 1204 1205 1220 1219
859 5 3 19 19 0 980 981 996 995 1205 1206 1221 1220
860 5 3 19 19 0 981 982 997 996 1206 1207 1222 1221
861 5 3 19 19 0 982 983 998 997 1207 1208 1223 1222
862 5 3 8 8 0 983 984 999 998 1208 1209 1224 1223
863 5 3 8 8 0 984 985 1000 999 1209 1210 1225 1224
864 5 3 14 14 0 985 986 1001 1000 1210 1211 1226 1225
865 5 3 20 20 0 986 987 1002 1001 1211 1212 1227 1226
866 5 3 20 20 0 987 988 1003 1002 1212 1213 1228 1227
867 5 3 20 20 0 988 989 1004 1003 1213 1214 1229 1228
868 5 3 20 20 0 989 990 1005 1004 1214 1215 1230 1229
869 5 3 1 1 0 991 992 1007 1006 1216 1217 1232 1231
870 5 3 1 1 0 992 993 1008 1007 1217 1218 1233 1232
871 5 3 1 1 0 993 994 1009 1008 1218 1219 1234 1233
872 5 3 1 1 0 994 995 1010 1009 1219 1220 1235 1234
873 5 3 1 1 0 995 996 1011 1010 1220 1221 1236 1235
874 5 3 1 1 0 996 997 1012 1011 1221 1222 1237 1236
875 5 3 8 8 0 997 998 1013 1012 1222 1223 1238 1237
876 5 3 8 8 0 998 999 1014 1013 1223 1224 1239 1238
877 5 3 14 14 0 999 1000 1015 1014 1224 1225 1240 1239
878 5 3 14 14 0 1000 1001 1016 1015 1225 1226 1241 1240
879 5 3 14 14 0 1001 1002 1017 1016 1226 1227 1242 1241
880 5 3 20 20 0 1002 1003 1018 1017 1227 1228 1243 1242
881 5 3 13 13 0 1003 1004 1019 1018 1228 1229 1244 1243
882 5 3 13 13 0 1004 1005 1020 1019 1229 1230 1245 1244
883 5 3 1 1 0 1006 1007 1022 1021 1231 1232 1247 1246
884 5 3 1 1 0 1007 1008 1023 1022 1232 1233 1248 1247
885 5 3 1 1 0 1008 1009 1024 1023 1233 1234 1249 1248
886 5 3 1 1 0 1009 1010 1025 1024 1234 1235 1250 1249
887 5 3 1 1 0 1010 1011 1026 1025 1235 1236 1251 1250
888 5 3 1 1 0 1011 1012 1027 1026 1236 1237 1252 1251
889 5 3 1 1 0 1012 1013 1028 1027 1237 1238 1253 1252
890 5 3 14 14 0 1013 1014 1029 1028 1238 1239 1254 1253
891 5 3 14 14 0 1014 1015 1030 1029 1239 1240 1255 1254
892 5 3 14 14 0 1015 1016 1031 1030 1240 1241 1256 1255
893 5 3 14 14 0 1016 1017 1032 1031 1241 1242 1257 1256
894 5 3 13 13 0 1017 1018 1033 1032 1242 1243 1258 1257
895 5 3 13 13 0 1018 1019 1034 1033 1243 1244 1259 1258
896 5 3 13 13 0 1019 1020 1035 1034 1244 1245 1260 1259
897 5 3 1 1 0 1021 1022 1037 1036 1246 1247 1262 1261
898 5 3 1 1 0 1022 1023 1038 1037 1247 1248 1263 1262
899 5 3 1 1 0 1023 1024 1039 1038 1248 1249 1264 1263
900 5 3 1 1 0 1024 1025 1040 1039 1249 1250 1265 1264
901 5 3 1 1 0 1025 1026 1041 1040 1250 1251 1266 1265
902 5 3 1 1 0 1026 1027 1042 1041 1251 1252 1267 1266
903 5 3 1 1 0 1027 1028 1043 1042 1252 1253 1268 1267
904 5 3 1 1 0 1028 1029 1044 1043 1253 1254 1269 1268
905 5 3 14 14 0 1029 1030 1045 1044 1254 1255 1270 1269
906 5 3 14 14 0 1030 1031 1046 1045 1255 1256 1271 1270
907 5 3 5 5 0 1031 1032 1047 1046 1256 1257 1272 1271
908 5 3 13 13 0 1032 1033 1048 1047 1257 1258 1273 1272
909 5 3 13 13 0 1033 1034 1049 1048 1258 1259 1274 1273
910 5 3 13 13 0 1034 1035 1050 1049 1259 1260 1275 1274
911 5 3 1 1 0 1036 1037 1052 1051 1261 1262 1277 1276
912 5 3 1 1 0 1037 1038 1053 1052 1262 1263 1278 1277
913 5 3 1 1 0 1038 1039 1054 1053 1263 1264 1279 1278
914 5 3 1 1 0 1039 1040 1055 1054 1264 1265 1280 1279
915 5 3 1 1 0 1040 1041 1056 1055 1265 1266 1281 1280
916 5 3 1 1 0 1041 1042 1057 1056 1266 1267 1282 1281
917 5 3 1 1 0 1042 1043 1058 1057 1267 1268 1283 1282
918 5 3 1 1 0 1043 1044 1059 1058 1268 1269 1284 1283
919 5 3 5 5 0 1044 1045 1060 1059 1269 1270 1285 1284
920 5 3 5 5 0 1045 1046 1061 1060 1270 1271 1286 1285
921 5 3 5 5 0 1046 1047 1062 1061 1271 1272 1287 1286
922 5 3 11 11 0 1047 1048 1063 1062 1272 1273 1288 1287
923 5 3 11 11 0 1048 1049 1064 1063 1273 1274 1289 1288
924 5 3 11 11 0 1049 1050 1065 1064 1274 1275 1290 1289
925 5 3 1 1 0 1051 1052 1067 1066 1276 1277 1292 1291
926 5 3 1 1 0 1052 1053 1068 1067 1277 1278 1293 1292
927 5 3 1 1 0 1053 1054 1069 1068 1278 1279 1294 1293
928 5 3 1 1 0 1054 1055 1070 1069 1279 1280 1295 1294
929 5 3 1 1 0 1055 1056 1071 1070 1280 1281 1296 1295
930 5 3 1 1 0 1056 1057 1072 1071 1281 1282 1297 1296
931 5 3 1 1 0 1057 1058 1073 1072 1282 1283 1298 1297
932 5 3 1 1 0 1058 1059 1074 1073 1283 1284 1299 1298
933 5 3 5 5 0 1059 1060 1075 1074 1284 1285 1300 1299
934 5 3 5 5 0 1060 1061 1076 1075 1285 1286 1301 1300
935 5 3 11 11 0 1061 1062 1077 1076 1286 1287 1302 1301
936 5 3 11 11 0 1062 1063 1078 1077 1287 1288 1303 1302
937 5 3 11 11 0 1063 1064 1079 1078 1288 1289 1304 1303
938 5 3 11 11 0 1064 1065 1080 1079 1289 1290 1305 1304
939 5 3 1 1 0 1066 1067 1082 1081 1291 1292 1307 1306
940 5 3 1 1 0 1067 1068 1083 1082 1292 1293 1308 1307
941 5 3 1 1 0 1068 1069 1084 1083 1293 1294 1309 1308
942 5 3 1 1 0 1069 1070 1085 1084 1294 1295 1310 1309
943 5 3 1 1 0 1070 1071 1086 1085 1295 1296 1311 1310
944 5 3 1 1 0 1071 1072 1087 1086 1296 1297 1312 1311
945 5 3 1 1 0 1072 1073 1088 1087 1297 1298 1313 1312
946 5 3 1 1 0 1073 1074 1089 1088 1298 1299 1314 1313
947 5 3 24 24 0 1074 1075 1090 1089 1299 1300 1315 1314
948 5 3 24 24 0 1075 1076 1091 1090 1300 1301 1316 1315
949 5 3 11 11 0 1076 1077 1092 1091 1301 1302 1317 1316
950 5 3 11 11 0 1077 1078 1093 1092 1302 1303 1318 1317
951 5 3 11 11 0 1078 1079 1094 1093 1303 1304 1319 1318
952 5 3 11 11 0 1079 1080 1095 1094 1304 1305 1320 1319
953 5 3 1 1 0 1081 1082 1097 1096 1306 1307 1322 1321
954 5 3 1 1 0 1082 1083 1098 1097 1307 1308 1323 1322
955 5 3 1 1 0 1083 1084 1099 1098 1308 1309 1324 1323
956 5 3 1 1 0 1084 1085 1100 1099 1309 1310 1325 1324
957 5 3 1 1 0 1085 1086 1101 1100 1310 1311 1326 1325
958 5 3 1 1 0 1086 1087 1102 1101 1311 1312 1327 1326
959 5 3 1 1 0 1087 1088 1103 1102 1312 1313 1328 1327
960 5 3 1 1 0 1088 1089 1104 1103 1313 1314 1329 1328
961 5 3 24 24 0 1089 1090 1105 1104 1314 1315 1330 1329
962 5 3 24 24 0 1090 1091 1106 1105 1315 1316 1331 1330
963 5 3 11 11 0 1091 1092 1107 1106 1316 1317 1332 1331
964 5 3 11 11 0 1092 1093 1108 1107 1317 1318 1333 1332
965 5 3 11 11 0 1093 1094 1109 1108 1318 1319 1334 1333
966 5 3 11 11 0 1094 1095 1110 1109 1319 1320 1335 1334
967 5 3 1 1 0 1096 1097 1112 1111 1321 1322 1337 1336
968 5 3 1 1 0 1097 1098 1113 1112 1322 1323 1338 1337
969 5 3 1 1 0 1098 1099 1114 1113 1323 1324 1339 1338
970 5 3 1 1 0 1099 1100 1115 1114 1324 1325 1340 1339
971 5 3 1 1 0 1100 1101 1116 1115 1325 1326 1341 1340
972 5 3 1 1 0 1101 1102 1117 1116 1326 1327 1342 1341
973 5 3 1 1 0 1102 1103 1118 1117 1327 1328 1343 1342
974 5 3 1 1 0 1103 1104 1119 1118 1328 1329 1344 1343
975 5 3 24 24 0 1104 1105 1120 1119 1329 1330 1345 1344
976 5 3 24 24 0 1105 1106 1121 1120 1330 1331 1346 1345
977 5 3 11 11 0 1106 1107 1122 1121 1331 1332 1347 1346
978 5 3 11 11 0 1107 1108 1123 1122 1332 1333 1348 1347
979 5 3 11 11 0 1108 1109 1124 1123 1333 1334 1349 1348
980 5 3 11 11 0 1109 1110 1125 1124 1334 1335 1350 1349
981 5 3 2 2 0 1126 1127 1142 1141 1351 1352 1367 1366
982 5 3 2 2 0 1127 1128 1143 1142 1352 1353 1368 1367
983 5 3 19 19 0 1128 1129 1144 1143 1353 1354 1369 1368
984 5 3 19 19 0 1129 1130 1145 1144 1354 1355 1370 1369
985 5 3 19 19 0 1130 1131 1146 1145 1355 1356 1371 1370
986 5 3 19 19 0 1131 1132 1147 1146 1356 1357 1372 1371
987 5 3 19 19 0 1132 1133 1148 1147 1357 1358 1373 1372
988 5 3 9 9 0 1133 1134 1149 1148 1358 1359 1374 1373
989 5 3 9 9 0 1134 1135 1150 1149 1359 1360 1375 1374
990 5 3 9 9 0 1135 1136 1151 1150 1360 1361 1376 1375
991 5 3 20 20 0 1136 1137 1152 1151 1361 1362 1377 1376
992 5 3 20 20 0 1137 1138 1153 1152 1362 1363 1378 1377
993 5 3 20 20 0 1138 1139 1154 1153 1363 1364 1379 1378
994 5 3 20 20 0 1139 1140 1155 1154 1364 1365 1380 1379
995 5 3 2 2 0 1141 1142 1157 1156 1366 1367 1382 1381
996 5 3 2 2 0 1142 1143 1158 1157 1367 1368 1383 1382
997 5 3 2 2 0 1143 1144 1159 1158 1368 1369 1384 1383
998 5 3 19 19 0 1144 1145 1160 1159 1369 1370 1385 1384
999 5 3 19 19 0 1145 1146 1161 1160 1370 1371 1386 1385
1000 5 3 19 19 0 1146 1147 1162 1161 1371 1372 1387 1386
1001 5 3 19 19 0 1147 1148 1163 1162 1372 1373 1388 1387
1002 5 3 9 9 0 1148 1149 1164 1163 1373 1374 1389 1388
1003 5 3 9 9 0 1149 1150 1165 1164 1374 1375 1390 1389
1004 5 3 20 20 0 1150 1151 1166 1165 1375 1376 1391 1390
1005 5 3 20 20 0 1151 1152 1167 1166 1376 1377 1392 1391
1006 5 3 20 20 0 1152 1153 1168 1167 1377 1378 1393 1392
1007 5 3 20 20 0 1153 1154 1169 1168 1378 1379 1394 1393
1008 5 3 20 20 0 1154 1155 1170 1169 1379 1380 1395 1394
1009 5 3 2 2 0 1156 1157 1172 1171 1381 1382 1397 1396
1010 5 3 2 2 0 1157 1158 1173 1172 1382 1383 1398 1397
1011 5 3 2 2 0 1158 1159 1174 1173 1383 1384 1399 1398
1012 5 3 2 2 0 1159 1160 1175 1174 1384 1385 1400 1399
1013 5 3 19 19 0 1160 1161 1176 1175 1385 1386 1401 1400
1014 5 3 19 19 0 1161 1162 1177 1176 1386 1387 1402 1401
1015 5 3 19 19 0 1162 1163 1178 1177 1387 1388 1403 1402
1016 5 3 9 9 0 1163 1164 1179 1178 1388 1389 1404 1403
1017 5 3 9 9 0 1164 1165 1180 1179 1389 1390 1405 1404
1018 5 3 20 20 0 1165 1166 1181 1180 1390 1391 1406 1405
1019 5 3 20 20 0 1166 1167 1182 1181 1391 1392 1407 1406
1020 5 3 20 20 0 1167 1168 1183 1182 1392 1393 1408 1407
1021 5 3 20 20 0 1168 1169 1184 1183 1393 1394 1409 1408
1022 5 3 20 20 0 1169 1170 1185 1184 1394 1395 1410 1409
1023 5 3 2 2 0 1171 1172 1187 1186 1396 1397 1412 1411
1024 5 3 2 2 0 1172 1173 1188 1187 1397 1398 1413 1412
1025 5 3 2 2 0 1173 1174 1189 1188 1398 1399 1414 1413
1026 5 3 2 2 0 1174 1175 1190 1189 1399 1400 1415 1414
1027 5 3 19 19 0 1175 1176 1191 1190 1400 1401 1416 1415
1028 5 3 19 19 0 1176 1177 1192 1191 1401 1402 1417 1416
1029 5 3 19 19 0 1177 1178 1193 1192 1402 1403 1418 1417
1030 5 3 8 8 0 1178 1179 1194 1193 1403 1404 1419 1418
1031 5 3 8 8 0 1179 1180 1195 1194 1404 1405 1420 1419
1032 5 3 20 20 0 1180 1181 1196 1195 1405 1406 1421 1420
1033 5 3 20 20 0 1181 1182 1197 1196 1406 1407 1422 1421
1034 5 3 20 20 0 1182 1183 1198 1197 1407 1408 1423 1422
1035 5 3 20 20 0 1183 1184 1199 1198 1408 1409 1424 1423
1036 5 3 18 18 0 1184 1185 1200 1199 1409 1410 1425 1424
1037 5 3 2 2 0 1186 1187 1202 1201 1411 1412 1427 1426
1038 5 3 2 2 0 1187 1188 1203 1202 1412 1413 1428 1427
1039 5 3 2 2 0 1188 1189 1204 1203 1413 1414 1429 1428
1040 5 3 2 2 0 1189 1190 1205 1204 1414 1415 1430 1429
1041 5 3 2 2 0 1190 1191 1206 1205 1415 1416 1431 1430
1042 5 3 19 19 0 1191 1192 1207 1206 1416 1417 1432 1431
1043 5 3 8 8 0 1192 1193 1208 1207 1417 1418 1433 1432
1044 5 3 8 8 0 1193 1194 1209 1208 1418 1419 1434 1433
1045 5 3 8 8 0 1194 1195 1210 1209 1419 1420 1435 1434
1046 5 3 8 8 0 1195 1196 1211 1210 1420 1421 1436 1435
1047 5 3 20 20 0 1196 1197 1212 1211 1421 1422 1437 1436
1048 5 3 20 20 0 1197 1198 1213 1212 1422 1423 1438 1437
1049 5 3 18 18 0 1198 1199 1214 1213 1423 1424 1439 1438
1050 5 3 18 18 0 1199 1200 1215 1214 1424 1425 1440 1439
1051 5 3 2 2 0 1201 1202 1217 1216 1426 1427 1442 1441
1052 5 3 2 2 0 1202 1203 1218 1217 1427 1428 1443 1442
1053 5 3 2 2 0 1203 1204 1219 1218 1428 1429 1444 1443
1054 5 3 2 2 0 1204 1205 1220 1219 1429 1430 1445 1444
1055 5 3 2 2 0 1205 1206 1221 1220 1430 1431 1446 1445
1056 5 3 8 8 0 1206 1207 1222 1221 1431 1432 1447 1446
1057 5 3 8 8 0 1207 1208 1223 1222 1432 1433 1448 1447
1058 5 3 8 8 0 1208 1209 1224 1223 1433 1434 1449 1448
1059 5 3 8 8 0 1209 1210 1225 1224 1434 1435 1450 1449
1060 5 3 8 8 0 1210 1211 1226 1225 1435 1436 1451 1450
1061 5 3 20 20 0 1211 1212 1227 1226 1436 1437 1452 1451
1062 5 3 18 18 0 1212 1213 1228 1227 1437 1438 1453 1452
1063 5 3 18 18 0 1213 1214 1229 1228 1438 1439 1454 1453
1064 5 3 18 18 0 1214 1215 1230 1229 1439 1440 1455 1454
1065 5 3 2 2 0 1216 1217 1232 1231 1441 1442 1457 1456
1066 5 3 1 1 0 1217 1218 1233 1232 1442 1443 1458 1457
1067 5 3 1 1 0 1218 1219 1234 1233 1443 1444 1459 1458
1068 5 3 1 1 0 1219 1220 1235 1234 1444 1445 1460 1459
1069 5 3 1 1 0 1220 1221 1236 1235 1445 1446 1461 1460
1070 5 3 8 8 0 1221 1222 1237 1236 1446 1447 1462 1461
1071 5 3 8 8 0 1222 1223 1238 1237 1447 1448 1463 1462
1072 5 3 8 8 0 1223 1224 1239 1238 1448 1449 1464 1463
1073 5 3 8 8 0 1224 1225 1240 1239 1449 1450 1465 1464
1074 5 3 8 8 0 1225 1226 1241 1240 1450 1451 1466 1465
1075 5 3 16 16 0 1226 1227 1242 1241 1451 1452 1467 1466
1076 5 3 13 13 0 1227 1228 1243 1242 1452 1453 1468 1467
1077 5 3 13 13 0 1228 1229 1244 1243 1453 1454 1469 1468
1078 5 3 13 13 0 1229 1230 1245 1244 1454 1455 1470 1469
1079 5 3 1 1 0 1231 1232 1247 1246 1456 1457 1472 1471
1080 5 3 1 1 0 1232 1233 1248 1247 1457 1458 1473 1472
1081 5 3 1 1 0 1233 1234 1249 1248 1458 1459 1474 1473
1082 5 3 1 1 0 1234 1235 1250 1249 1459 1460 1475 1474
1083 5 3 1 1 0 1235 1236 1251 1250 1460 1461 1476 1475
1084 5 3 1 1 0 1236 1237 1252 1251 1461 1462 1477 1476
1085 5 3 1 1 0 1237 1238 1253 1252 1462 1463 1478 1477
1086 5 3 8 8 0 1238 1239 1254 1253 1463 1464 1479 1478
1087 5 3 8 8 0 1239 1240 1255 1254 1464 1465 1480 1479
1088 5 3 16 16 0 1240 1241 1256 1255 1465 1466 1481 1480
1089 5 3 16 16 0 1241 1242 1257 1256 1466 1467 1482 1481
1090 5 3 13 13 0 1242 1243 1258 1257 1467 1468 1483 1482
1091 5 3 13 13 0 1243 1244 1259 1258 1468 1469 1484 1483
1092 5 3 13 13 0 1244 1245 1260 1259 1469 1470 1485 1484
1093 5 3 1 1 0 1246 1247 1262 1261 1471 1472 1487 1486
1094 5 3 1 1 0 1247 1248 1263 1262 1472 1473 1488 1487
1095 5 3 1 1 0 1248 1249 1264 1263 1473 1474 1489 1488
1096 5 3 1 1 0 1249 1250 1265 1264 1474 1475 1490 1489
1097 5 3 1 1 0 1250 1251 1266 1265 1475 1476 1491 1490
1098 5 3 1 1 0 1251 1252 1267 1266 1476 1477 1492 1491
1099 5 3 1 1 0 1252 1253 1268 1267 1477 1478 1493 1492
1100 5 3 5 5 0 1253 1254 1269 1268 1478 1479 1494 1493
1101 5 3 5 5 0 1254 1255 1270 1269 1479 1480 1495 1494
1102 5 3 5 5 0 1255 1256 1271 1270 1480 1481 1496 1495
1103 5 3 5 5 0 1256 1257 1272 1271 1481 1482 1497 1496
1104 5 3 13 13 0 1257 1258 1273 1272 1482 1483 1498 1497
1105 5 3 13 13 0 1258 1259 1274 1273 1483 1484 1499 1498
1106 5 3 13 13 0 1259 1260 1275 1274 1484 1485 1500 1499
1107 5 3 1 1 0 1261 1262 1277 1276 1486 1487 1502 1501
1108 5 3 1 1 0 1262 1263 1278 1277 1487 1488 1503 1502
1109 5 3 1 1 0 1263 1264 1279 1278 1488 1489 1504 1503
1110 5 3 1 1 0 1264 1265 1280 1279 1489 1490 1505 1504
1111 5 3 1 1 0 1265 1266 1281 1280 1490 1491 1506 1505
1112 5 3 1 1 0 1266 1267 1282 1281 1491 1492 1507 1506
1113 5 3 1 1 0 1267 1268 1283 1282 1492 1493 1508 1507
1114 5 3 1 1 0 1268 1269 1284 1283 1493 1494 1509 1508
1115 5 3 5 5 0 1269 1270 1285 1284 1494 1495 1510 1509
1116 5 3 5 5 0 1270 1271 1286 1285 1495 1496 1511 1510
1117 5 3 5 5 0 1271 1272 1287 1286 1496 1497 1512 1511
1118 5 3 13 13 0 1272 1273 1288 1287 1497 1498 1513 1512
1119 5 3 13 13 0 1273 1274 1289 1288 1498 1499 1514 1513
1120 5 3 13 13 0 1274 1275 1290 1289 1499 1500 1515 1514
1121 5 3 1 1 0 1276 1277 1292 1291 1501 1502 1517 1516
1122 5 3 1 1 0 1277 1278 1293 1292 1502 1503 1518 1517
1123 5 3 1 1 0 1278 1279 1294 1293 1503 1504 1519 1518
1124 5 3 1 1 0 1279 1280 1295 1294 1504 1505 1520 1519
1125 5 3 1 1 0 1280 1281 1296 1295 1505 1506 1521 1520
1126 5 3 1 1 0 1281 1282 1297 1296 1506 1507 1522 1521
1127 5 3 1 1 0 1282 1283 1298 1297 1507 1508 1523 1522
1128 5 3 1 1 0 1283 1284 1299 1298 1508 1509 1524 1523
1129 5 3 5 5 0 1284 1285 1300 1299 1509 1510 1525 1524
1130 5 3 5 5 0 1285 1286 1301 1300 1510 1511 1526 1525
1131 5 3 5 5 0 1286 1287 1302 1301 1511 1512 1527 1526
1132 5 3 10 10 0 1287 1288 1303 1302 1512 1513 1528 1527
1133 5 3 10 10 0 1288 1289 1304 1303 1513 1514 1529 1528
1134 5 3 10 10 0 1289 1290 1305 1304 1514 1515 1530 1529
1135 5 3 1 1 0 1291 1292 1307 1306 1516 1517 1532 1531
1136 5 3 1 1 0 1292 1293 1308 1307 1517 1518 1533 1532
1137 5 3 1 1 0 1293 1294 1309 1308 1518 1519 1534 1533
1138 5 3 1 1 0 1294 1295 1310 1309 1519 1520 1535 1534
1139 5 3 1 1 0 1295 1296 1311 1310 1520 1521 1536 1535
1140 5 3 1 1 0 1296 1297 1312 1311 1521 1522 1537 1536
1141 5 3 1 1 0 1297 1298 1313 1312 1522 1523 1538 1537
1142 5 3 1 1 0 1298 1299 1314 1313 1523 1524 1539 1538
1143 5 3 24 24 0 1299 1300 1315 1314 1524 1525 1540 1539
1144 5 3 5 5 0 1300 1301 1316 1315 1525 1526 1541 1540
1145 5 3 10 10 0 1301 1302 1317 1316 1526 1527 1542 1541
1146 5 3 10 10 0 1302 1303 1318 1317 1527 1528 1543 1542
1147 5 3 10 10 0 1303 1304 1319 1318 1528 1529 1544 1543
1148 5 3 10 10 0 1304 1305 1320 1319 1529 1530 1545 1544
1149 5 3 1 1 0 1306 1307 1322 1321 1531 1532 1547 1546
1150 5 3 1 1 0 1307 1308 1323 1322 1532 1533 1548 1547
1151 5 3 1 1 0 1308 1309 1324 1323 1533 1534 1549 1548
1152 5 3 1 1 0 1309 1310 1325 1324 1534 1535 1550 1549
1153 5 3 1 1 0 1310 1311 1326 1325 1535 1536 1551 1550
1154 5 3 1 1 0 1311 1312 1327 1326 1536 1537 1552 1551
1155 5 3 1 1 0 1312 1313 1328 1327 1537 1538 1553 1552
1156 5 3 1 1 0 1313 1314 1329 1328 1538 1539 1554 1553
1157 5 3 24 24 0 1314 1315 1330 1329 1539 1540 1555 1554
1158 5 3 24 24 0 1315 1316 1331 1330 1540 1541 1556 1555
1159 5 3 10 10 0 1316 1317 1332 1331 1541 1542 1557 1556
1160 5 3 10 10 0 1317 1318 1333 1332 1542 1543 1558 1557
1161 5 3 10 10 0 1318 1319 1334 1333 1543 1544 1559 1558
1162 5 3 10 10 0 1319 1320 1335 1334 1544 1545 1560 1559
1163 5 3 1 1 0 1321 1322 1337 1336 1546 1547 1562 1561
1164 5 3 1 1 0 1322 1323 1338 1337 1547 1548 1563 1562
1165 5 3 1 1 0 1323 1324 1339 1338 1548 1549 1564 1563
1166 5 3 1 1 0 1324 1325 1340 1339 1549 1550 1565 1564
1167 5 3 1 1 0 1325 1326 1341 1340 1550 1551 1566 1565
1168 5 3 1 1 0 1326 1327 1342 1341 1551 1552 1567 1566
1169 5 3 1 1 0 1327 1328 1343 1342 1552 1553 1568 1567
1170 5 3 24 24 0 1328 1329 1344 1343 1553 1554 1569 1568
1171 5 3 24 24 0 1329 1330 1345 1344 1554 1555 1570 1569
1172 5 3 24 24 0 1330 1331 1346 1345 1555 1556 1571 1570
1173 5 3 10 10 0 1331 1332 1347 1346 1556 1557 1572 1571
1174 5 3 10 10 0 1332 1333 1348 1347 1557 1558 1573 1572
1175 5 3 10 10 0 1333 1334 1349 1348 1558 1559 1574 1573
1176 5 3 10 10 0 1334 1335 1350 1349 1559 1560 1575 1574
1177 5 3 2 2 0 1351 1352 1367 1366 1576 1577 1592 1591
1178 5 3 2 2 0 1352 1353 1368 1367 1577 1578 1593 1592
1179 5 3 2 2 0 1353 1354 1369 1368 1578 1579 1594 1593
1180 5 3 2 2 0 1354 1355 1370 1369 1579 1580 1595 1594
1181 5 3 2 2 0 1355 1356 1371 1370 1580 1581 1596 1595
1182 5 3 9 9 0 1356 1357 1372 1371 1581 1582 1597 1596
1183 5 3 9 9 0 1357 1358 1373 1372 1582 1583 1598 1597
1184 5 3 9 9 0 1358 1359 1374 1373 1583 1584 1599 1598
1185 5 3 9 9 0 1359 1360 1375 1374 1584 1585 1600 1599
1186 5 3 9 9 0 1360 1361 1376 1375 1585 1586 1601 1600
1187 5 3 18 18 0 1361 1362 1377 1376 1586 1587 1602 1601
1188 5 3 18 18 0 1362 1363 1378 1377 1587 1588 1603 1602
1189 5 3 18 18 0 1363 1364 1379 1378 1588 1589 1604 1603
1190 5 3 18 18 0 1364 1365 1380 1379 1589 1590 1605 1604
1191 5 3 2 2 0 1366 1367 1382 1381 1591 1592 1607 1606
1192 5 3 2 2 0 1367 1368 1383 1382 1592 1593 1608 1607
1193 5 3 2 2 0 1368 1369 1384 1383 1593 1594 1609 1608
1194 5 3 2 2 0 1369 1370 1385 1384 1594 1595 1610 1609
1195 5 3 2 2 0 1370 1371 1386 1385 1595 1596 1611 1610
1196 5 3 2 2 0 1371 1372 1387 1386 1596 1597 1612 1611
1197 5 3 9 9 0 1372 1373 1388 1387 1597 1598 1613 1612
1198 5 3 9 9 0 1373 1374 1389 1388 1598 1599 1614 1613
1199 5 3 9 9 0 1374 1375 1390 1389 1599 1600 1615 1614
1200 5 3 9 9 0 1375 1376 1391 1390 1600 1601 1616 1615
1201 5 3 18 18 0 1376 1377 1392 1391 1601 1602 1617 1616
1202 5 3 18 18 0 1377 1378 1393 1392 1602 1603 1618 1617
1203 5 3 18 18 0 1378 1379 1394 1393 1603 1604 1619 1618
1204 5 3 18 18 0 1379 1380 1395 1394 1604 1605 1620 1619
1205 5 3 2 2 0 1381 1382 1397 1396 1606 1607 1622 1621
1206 5 3 2 2 0 1382 1383 1398 1397 1607 1608 1623 1622
1207 5 3 2 2 0 1383 1384 1399 1398 1608 1609 1624 1623
1208 5 3 2 2 0 1384 1385 1400 1399 1609 1610 1625 1624
1209 5 3 2 2 0 1385 1386 1401 1400 1610 1611 1626 1625
1210 5 3 2 2 0 1386 1387 1402 1401 1611 1612 1627 1626
1211 5 3 9 9 0 1387 1388 1403 1402 1612 1613 1628 1627
1212 5 3 9 9 0 1388 1389 1404 1403 1613 1614 1629 1628
1213 5 3 9 9 0 1389 1390 1405 1404 1614 1615 1630 1629
1214 5 3 9 9 0 1390 1391 1406 1405 1615 1616 1631 1630
1215 5 3 18 18 0 1391 1392 1407 1406 1616 1617 1632 1631
1216 5 3 18 18 0 1392 1393 1408 1407 1617 1618 1633 1632
1217 5 3 18 18 0 1393 1394 1409 1408 1618 1619 1634 1633
1218 5 3 18 18 0 1394 1395 1410 1409 1619 1620 1635 1634
1219 5 3 2 2 0 1396 1397 1412 1411 1621 1622 1637 1636
1220 5 3 2 2 0 1397 1398 1413 1412 1622 1623 1638 1637
1221 5 3 2 2 0 1398 1399 1414 1413 1623 1624 1639 1638
1222 5 3 2 2 0 1399 1400 1415 1414 1624 1625 1640 1639
1223 5 3 2 2 0 1400 1401 1416 1415 1625 1626 1641 1640
1224 5 3 2 2 0 1401 1402 1417 1416 1626 1627 1642 1641
1225 5 3 8 8 0 1402 1403 1418 1417 1627 1628 1643 1642
1226 5 3 9 9 0 1403 1404 1419 1418 1628 1629 1644 1643
1227 5 3 9 9 0 1404 1405 1420 1419 1629 1630 1645 1644
1228 5 3 9 9 0 1405 1406 1421 1420 1630 1631 1646 1645
1229 5 3 18 18 0 1406 1407 1422 1421 1631 1632 1647 1646
1230 5 3 18 18 0 1407 1408 1423 1422 1632 1633 1648 1647
1231 5 3 18 18 0 1408 1409 1424 1423 1633 1634 1649 1648
1232 5 3 18 18 0 1409 1410 1425 1424 1634 1635 1650 1649
1233 5 3 2 2 0 1411 1412 1427 1426 1636 1637 1652 1651
1234 5 3 2 2 0 1412 1413 1428 1427 1637 1638 1653 1652
1235 5 3 2 2 0 1413 1414 1429 1428 1638 1639 1654 1653
1236 5 3 2 2 0 1414 1415 1430 1429 1639 1640 1655 1654
1237 5 3 2 2 0 1415 1416 1431 1430 1640 1641 1656 1655
1238 5 3 2 2 0 1416 1417 1432 1431 1641 1642 1657 1656
1239 5 3 8 8 0 1417 1418 1433 1432 1642 1643 1658 1657
1240 5 3 8 8 0 1418 1419 1434 1433 1643 1644 1659 1658
1241 5 3 8 8 0 1419 1420 1435 1434 1644 1645 1660 1659
1242 5 3 8 8 0 1420 1421 1436 1435 1645 1646 1661 1660
1243 5 3 18 18 0 1421 1422 1437 1436 1646 1647 1662 1661
1244 5 3 18 18 0 1422 1423 1438 1437 1647 1648 1663 1662
1245 5 3 18 18 0 1423 1424 1439 1438 1648 1649 1664 1663
1246 5 3 18 18 0 1424 1425 1440 1439 1649 1650 1665 1664
1247 5 3 2 2 0 1426 1427 1442 1441 1651 1652 1667 1666
1248 5 3 2 2 0 1427 1428 1443 1442 1652 1653 1668 1667
1249 5 3 2 2 0 1428 1429 1444 1443 1653 1654 1669 1668
1250 5 3 2 2 0 1429 1430 1445 1444 1654 1655 1670 1669
1251 5 3 2 2 0 1430 1431 1446 1445 1655 1656 1671 1670
1252 5 3 8 8 0 1431 1432 1447 1446 1656 1657 1672 1671
1253 5 3 8 8 0 1432 1433 1448 1447 1657 1658 1673 1672
1254 5 3 8 8 0 1433 1434 1449 1448 1658 1659 1674 1673
1255 5 3 8 8 0 1434 1435 1450 1449 1659 1660 1675 1674
1256 5 3 8 8 0 1435 1436 1451 1450 1660 1661 1676 1675
1257 5 3 18 18 0 1436 1437 1452 1451 1661 1662 1677 1676
1258 5 3 18 18 0 1437 1438 1453 1452 1662 1663 1678 1677
1259 5 3 18 18 0 1438 1439 1454 1453 1663 1664 1679 1678
1260 5 3 18 18 0 1439 1440 1455 1454 1664 1665 1680 1679
1261 5 3 2 2 0 1441 1442 1457 1456 1666 1667 1682 1681
1262 5 3 2 2 0 1442 1443 1458 1457 1667 1668 1683 1682
1263 5 3 2 2 0 1443 1444 1459 1458 1668 1669 1684 1683
1264 5 3 2 2 0 1444 1445 1460 1459 1669 1670 1685 1684
1265 5 3 2 2 0 1445 1446 1461 1460 1670 1671 1686 1685
1266 5 3 8 8 0 1446 1447 1462 1461 1671 1672 1687 1686
1267 5 3 8 8 0 1447 1448 1463 1462 1672 1673 1688 1687
1268 5 3 8 8 0 1448 1449 1464 1463 1673 1674 1689 1688
1269 5 3 8 8 0 1449 1450 1465 1464 1674 1675 1690 1689
1270 5 3 16 16 0 1450 1451 1466 1465 1675 1676 1691 1690
1271 5 3 16 16 0 1451 1452 1467 1466 1676 1677 1692 1691
1272 5 3 13 13 0 1452 1453 1468 1467 1677 1678 1693 1692
1273 5 3 13 13 0 1453 1454 1469 1468 1678 1679 1694 1693
1274 5 3 13 13 0 1454 1455 1470 1469 1679 1680 1695 1694
1275 5 3 1 1 0 1456 1457 1472 1471 1681 1682 1697 1696
1276 5 3 1 1 0 1457 1458 1473 1472 1682 1683 1698 1697
1277 5 3 1 1 0 1458 1459 1474 1473 1683 1684 1699 1698
1278 5 3 1 1 0 1459 1460 1475 1474 1684 1685 1700 1699
1279 5 3 1 1 0 1460 1461 1476 1475 1685 1686 1701 1700
1280 5 3 1 1 0 1461 1462 1477 1476 1686 1687 1702 1701
1281 5 3 8 8 0 1462 1463 1478 1477 1687 1688 1703 1702
1282 5 3 8 8 0 1463 1464 1479 1478 1688 1689 1704 1703
1283 5 3 8 8 0 1464 1465 1480 1479 1689 1690 1705 1704
1284 5 3 16 16 0 1465 1466 1481 1480 1690 1691 1706 1705
1285 5 3 16 16 0 1466 1467 1482 1481 1691 1692 1707 1706
1286 5 3 13 13 0 1467 1468 1483 1482 1692 1693 1708 1707
1287 5 3 13 13 0 1468 1469 1484 1483 1693 1694 1709 1708
1288 5 3 13 13 0 1469 1470 1485 1484 1694 1695 1710 1709
1289 5 3 1 1 0 1471 1472 1487 1486 1696 1697 1712 1711
1290 5 3 1 1 0 1472 1473 1488 1487 1697 1698 1713 1712
1291 5 3 1 1 0 1473 1474 1489 1488 1698 1699 1714 1713
1292 5 3 1 1 0 1474 1475 1490 1489 1699 1700 1715 1714
1293 5 3 1 1 0 1475 1476 1491 1490 1700 1701 1716 1715
1294 5 3 1 1 0 1476 1477 1492 1491 1701 1702 1717 1716
1295 5 3 6 6 0 1477 1478 1493 1492 1702 1703 1718 1717
1296 5 3 6 6 0 1478 1479 1494 1493 1703 1704 1719 1718
1297 5 3 6 6 0 1479 1480 1495 1494 1704 1705 1720 1719
1298 5 3 5 5 0 1480 1481 1496 1495 1705 1706 1721 1720
1299 5 3 16 16 0 1481 1482 1497 1496 1706 1707 1722 1721
1300 5 3 13 13 0 1482 1483 1498 1497 1707 1708 1723 1722
1301 5 3 13 13 0 1483 1484 1499 1498 1708 1709 1724 1723
1302 5 3 13 13 0 1484 1485 1500 1499 1709 1710 1725 1724
1303 5 3 1 1 0 1486 1487 1502 1501 1711 1712 1727 1726
1304 5 3 1 1 0 1487 1488 1503 1502 1712 1713 1728 1727
1305 5 3 1 1 0 1488 1489 1504 1503 1713 1714 1729 1728
1306 5 3 1 1 0 1489 1490 1505 1504 1714 1715 1730 1729
1307 5 3 1 1 0 1490 1491 1506 1505 1715 1716 1731 1730
1308 5 3 1 1 0 1491 1492 1507 1506 1716 1717 1732 1731
1309 5 3 1 1 0 1492 1493 1508 1507 1717 1718 1733 1732
1310 5 3 6 6 0 1493 1494 1509 1508 1718 1719 1734 1733
1311 5 3 5 5 0 1494 1495 1510 1509 1719 1720 1735 1734
1312 5 3 5 5 0 1495 1496 1511 1510 1720 1721 1736 1735
1313 5 3 10 10 0 1496 1497 1512 1511 1721 1722 1737 1736
1314 5 3 10 10 0 1497 1498 1513 1512 1722 1723 1738 1737
1315 5 3 10 10 0 1498 1499 1514 1513 1723 1724 1739 1738
1316 5 3 10 10 0 1499 1500 1515 1514 1724 1725 1740 1739
1317 5 3 27 27 0 1501 1502 1517 1516 1726 1727 1742 1741
1318 5 3 1 1 0 1502 1503 1518 1517 1727 1728 1743 1742
1319 5 3 1 1 0 1503 1504 1519 1518 1728 1729 1744 1743
1320 5 3 1 1 0 1504 1505 1520 1519 1729 1730 1745 1744
1321 5 3 1 1 0 1505 1506 1521 1520 1730 1731 1746 1745
1322 5 3 1 1 0 1506 1507 1522 1521 1731 1732 1747 1746
1323 5 3 1 1 0 1507 1508 1523 1522 1732 1733 1748 1747
1324 5 3 4 4 0 1508 1509 1524 1523 1733 1734 1749 1748
1325 5 3 5 5 0 1509 1510 1525 1524 1734 1735 1750 1749
1326 5 3 5 5 0 1510 1511 1526 1525 1735 1736 1751 1750
1327 5 3 10 10 0 1511 1512 1527 1526 1736 1737 1752 1751
1328 5 3 10 10 0 1512 1513 1528 1527 1737 1738 1753 1752
1329 5 3 10 10 0 1513 1514 1529 1528 1738 1739 1754 1753
1330 5 3 10 10 0 1514 1515 1530 1529 1739 1740 1755 1754
1331 5 3 27 27 0 1516 1517 1532 1531 1741 1742 1757 1756
1332 5 3 27 27 0 1517 1518 1533 1532 1742 1743 1758 1757
1333 5 3 1 1 0 1518 1519 1534 1533 1743 1744 1759 1758
1334 5 3 1 1 0 1519 1520 1535 1534 1744 1745 1760 1759
1335 5 3 1 1 0 1520 1521 1536 1535 1745 1746 1761 1760
1336 5 3 1 1 0 1521 1522 1537 1536 1746 1747 1762 1761
1337 5 3 1 1 0 1522 1523 1538 1537 1747 1748 1763 1762
1338 5 3 4 4 0 1523 1524 1539 1538 1748 1749 1764 1763
1339 5 3 4 4 0 1524 1525 1540 1539 1749 1750 1765 1764
1340 5 3 10 10 0 1525 1526 1541 1540 1750 1751 1766 1765
1341 5 3 10 10 0 1526 1527 1542 1541 1751 1752 1767 1766
1342 5 3 10 10 0 1527 1528 1543 1542 1752 1753 1768 1767
1343 5 3 10 10 0 1528 1529 1544 1543 1753 1754 1769 1768
1344 5 3 10 10 0 1529 1530 1545 1544 1754 1755 1770 1769
1345 5 3 27 27 0 1531 1532 1547 1546 1756 1757 1772 1771
1346 5 3 27 27 0 1532 1533 1548 1547 1757 1758 1773 1772
1347 5 3 27 27 0 1533 1534 1549 1548 1758 1759 1774 1773
1348 5 3 1 1 0 1534 1535 1550 1549 1759 1760 1775 1774
1349 5 3 1 1 0 1535 1536 1551 1550 1760 1761 1776 1775
1350 5 3 1 1 0 1536 1537 1552 1551 1761 1762 1777 1776
1351 5 3 4 4 0 1537 1538 1553 1552 1762 1763 1778 1777
1352 5 3 4 4 0 1538 1539 1554 1553 1763 1764 1779 1778
1353 5 3 4 4 0 1539 1540 1555 1554 1764 1765 1780 1779
1354 5 3 10 10 0 1540 1541 1556 1555 1765 1766 1781 1780
1355 5 3 10 10 0 1541 1542 1557 1556 1766 1767 1782 1781
1356 5 3 10 10 0 1542 1543 1558 1557 1767 1768 1783 1782
1357 5 3 10 10 0 1543 1544 1559 1558 1768 1769 1784 1783
1358 5 3 10 10 0 1544 1545 1560 1559 1769 1770 1785 1784
1359 5 3 27 27 0 1546 1547 1562 1561 1771 1772 1787 1786
1360 5 3 27 27 0 1547 1548 1563 1562 1772 1773 1788 1787
1361 5 3 27 27 0 1548 1549 1564 1563 1773 1774 1789 1788
1362 5 3 1 1 0 1549 1550 1565 1564 1774 1775 1790 1789
1363 5 3 1 1 0 1550 1551 1566 1565 1775 1776 1791 1790
1364 5 3 1 1 0 1551 1552 1567 1566 1776 1777 1792 1791
1365 5 3 4 4 0 1552 1553 1568 1567 1777 1778 1793 1792
1366 5 3 4 4 0 1553 1554 1569 1568 1778 1779 1794 1793
1367 5 3 4 4 0 1554 1555 1570 1569 1779 1780 1795 1794
1368 5 3 10 10 0 1555 1556 1571 1570 1780 1781 1796 1795
1369 5 3 10 10 0 1556 1557 1572 1571 1781 1782 1797 1796
1370 5 3 10 10 0 1557 1558 1573 1572 1782 1783 1798 1797
1371 5 3 10 10 0 1558 1559 1574 1573 1783 1784 1799 1798
1372 5 3 10 10 0 1559 1560 1575 1574 1784 1785 1800 1799
1373 5 3 2 2 0 1576 1577 1592 1591 1801 1802 1817 1816
1374 5 3 2 2 0 1577 1578 1593 1592 1802 1803 1818 1817
1375 5 3 2 2 0 1578 1579 1594 1593 1803 1804 1819 1818
1376 5 3 2 2 0 1579 1580 1595 1594 1804 1805 1820 1819
1377 5 3 2 2 0 1580 1581 1596 1595 1805 1806 1821 1820
1378 5 3 9 9 0 1581 1582 1597 1596 1806 1807 1822 1821
1379 5 3 9 9 0 1582 1583 1598 1597 1807 1808 1823 1822
1380 5 3 9 9 0 1583 1584 1599 1598 1808 1809 1824 1823
1381 5 3 9 9 0 1584 1585 1600 1599 1809 1810 1825 1824
1382 5 3 9 9 0 1585 1586 1601 1600 1810 1811 1826 1825
1383 5 3 18 18 0 1586 1587 1602 1601 1811 1812 1827 1826
1384 5 3 18 18 0 1587 1588 1603 1602 1812 1813 1828 1827
1385 5 3 18 18 0 1588 1589 1604 1603 1813 1814 1829 1828
1386 5 3 18 18 0 1589 1590 1605 1604 1814 1815 1830 1829
1387 5 3 2 2 0 1591 1592 1607 1606 1816 1817 1832 1831
1388 5 3 2 2 0 1592 1593 1608 1607 1817 1818 1833 1832
1389 5 3 2 2 0 1593 1594 1609 1608 1818 1819 1834 1833
1390 5 3 2 2 0 1594 1595 1610 1609 1819 1820 1835 1834
1391 5 3 2 2 0 1595 1596 1611 1610 1820 1821 1836 1835
1392 5 3 12 12 0 1596 1597 1612 1611 1821 1822 1837 1836
1393 5 3 9 9 0 1597 1598 1613 1612 1822 1823 1838 1837
1394 5 3 9 9 0 1598 1599 1614 1613 1823 1824 1839 1838
1395 5 3 9 9 0 1599 1600 1615 1614 1824 1825 1840 1839
1396 5 3 9 9 0 1600 1601 1616 1615 1825 1826 1841 1840
1397 5 3 18 18 0 1601 1602 1617 1616 1826 1827 1842 1841
1398 5 3 18 18 0 1602 1603 1618 1617 1827 1828 1843 1842
1399 5 3 18 18 0 1603 1604 1619 1618 1828 1829 1844 1843
1400 5 3 18 18 0 1604 1605 1620 1619 1829 1830 1845 1844
1401 5 3 2 2 0 1606 1607 1622 1621 1831 1832 1847 1846
1402 5 3 2 2 0 1607 1608 1623 1622 1832 1833 1848 1847
1403 5 3 2 2 0 1608 1609 1624 1623 1833 1834 1849 1848
1404 5 3 2 2 0 1609 1610 1625 1624 1834 1835 1850 1849
1405 5 3 2 2 0 1610 1611 1626 1625 1835 1836 1851 1850
1406 5 3 2 2 0 1611 1612 1627 1626 1836 1837 1852 1851
1407 5 3 9 9 0 1612 1613 1628 1627 1837 1838 1853 1852
1408 5 3 9 9 0 1613 1614 1629 1628 1838 1839 1854 1853
1409 5 3 9 9 0 1614 1615 1630 1629 1839 1840 1855 1854
1410 5 3 9 9 0 1615 1616 1631 1630 1840 1841 1856 1855
1411 5 3 18 18 0 1616 1617 1632 1631 1841 1842 1857 1856
1412 5 3 18 18 0 1617 1618 1633 1632 1842 1843 1858 1857
1413 5 3 18 18 0 1618 1619 1634 1633 1843 1844 1859 1858
1414 5 3 18 18 0 1619 1620 1635 1634 1844 1845 1860 1859
1415 5 3 2 2 0 1621 1622 1637 1636 1846 1847 1862 1861
1416 5 3 2 2 0 1622 1623 1638 1637 1847 1848 1863 1862
1417 5 3 2 2 0 1623 1624 1639 1638 1848 1849 1864 1863
1418 5 3 2 2 0 1624 1625 1640 1639 1849 1850 1865 1864
1419 5 3 2 2 0 1625 1626 1641 1640 1850 1851 1866 1865
1420 5 3 2 2 0 1626 1627 1642 1641 1851 1852 1867 1866
1421 5 3 9 9 0 1627 1628 1643 1642 1852 1853 1868 1867
1422 5 3 9 9 0 1628 1629 1644 1643 1853 1854 1869 1868
1423 5 3 9 9 0 1629 1630 1645 1644 1854 1855 1870 1869
1424 5 3 9 9 0 1630 1631 1646 1645 1855 1856 1871 1870
1425 5 3 18 18 0 1631 1632 1647 1646 1856 1857 1872 1871
1426 5 3 18 18 0 1632 1633 1648 1647 1857 1858 1873 1872
1427 5 3 18 18 0 1633 1634 1649 1648 1858 1859 1874 1873
1428 5 3 18 18 0 1634 1635 1650 1649 1859 1860 1875 1874
1429 5 3 2 2 0 1636 1637 1652 1651 1861 1862 1877 1876
1430 5 3 2 2 0 1637 1638 1653 1652 1862 1863 1878 1877
1431 5 3 2 2 0 1638 1639 1654 1653 1863 1864 1879 1878
1432 5 3 2 2 0 1639 1640 1655 1654 1864 1865 1880 1879
1433 5 3 2 2 0 1640 1641 1656 1655 1865 1866 1881 1880
1434 5 3 2 2 0 1641 1642 1657 1656 1866 1867 1882 1881
1435 5 3 8 8 0 1642 1643 1658 1657 1867 1868 1883 1882
1436 5 3 8 8 0 1643 1644 1659 1658 1868 1869 1884 1883
1437 5 3 9 9 0 1644 1645 1660 1659 1869 1870 1885 1884
1438 5 3 23 23 0 1645 1646 1661 1660 1870 1871 1886 1885
1439 5 3 18 18 0 1646 1647 1662 1661 1871 1872 1887 1886
1440 5 3 18 18 0 1647 1648 1663 1662 1872 1873 1888 1887
1441 5 3 18 18 0 1648 1649 1664 1663 1873 1874 1889 1888
1442 5 3 18 18 0 1649 1650 1665 1664 1874 1875 1890 1889
1443 5 3 2 2 0 1651 1652 1667 1666 1876 1877 1892 1891
1444 5 3 2 2 0 1652 1653 1668 1667 1877 1878 1893 1892
1445 5 3 2 2 0 1653 1654 1669 1668 1878 1879 1894 1893
1446 5 3 2 2 0 1654 1655 1670 1669 1879 1880 1895 1894
1447 5 3 2 2 0 1655 1656 1671 1670 1880 1881 1896 1895
1448 5 3 30 30 0 1656 1657 1672 1671 1881 1882 1897 1896
1449 5 3 8 8 0 1657 1658 1673 1672 1882 1883 1898 1897
1450 5 3 8 8 0 1658 1659 1674 1673 1883 1884 1899 1898
1451 5 3 8 8 0 1659 1660 1675 1674 1884 1885 1900 1899
1452 5 3 23 23 0 1660 1661 1676 1675 1885 1886 1901 1900
1453 5 3 18 18 0 1661 1662 1677 1676 1886 1887 1902 1901
1454 5 3 18 18 0 1662 1663 1678 1677 1887 1888 1903 1902
1455 5 3 18 18 0 1663 1664 1679 1678 1888 1889 1904 1903
1456 5 3 18 18 0 1664 1665 1680 1679 1889 1890 1905 1904
1457 5 3 2 2 0 1666 1667 1682 1681 1891 1892 1907 1906
1458 5 3 2 2 0 1667 1668 1683 1682 1892 1893 1908 1907
1459 5 3 2 2 0 1668 1669 1684 1683 1893 1894 1909 1908
1460 5 3 2 2 0 1669 1670 1685 1684 1894 1895 1910 1909
1461 5 3 30 30 0 1670 1671 1686 1685 1895 1896 1911 1910
1462 5 3 30 30 0 1671 1672 1687 1686 1896 1897 1912 1911
1463 5 3 8 8 0 1672 1673 1688 1687 1897 1898 1913 1912
1464 5 3 8 8 0 1673 1674 1689 1688 1898 1899 1914 1913
1465 5 3 8 8 0 1674 1675 1690 1689 1899 1900 1915 1914
1466 5 3 16 16 0 1675 1676 1691 1690 1900 1901 1916 1915
1467 5 3 16 16 0 1676 1677 1692 1691 1901 1902 1917 1916
1468 5 3 22 22 0 1677 1678 1693 1692 1902 1903 1918 1917
1469 5 3 22 22 0 1678 1679 1694 1693 1903 1904 1919 1918
1470 5 3 22 22 0 1679 1680 1695 1694 1904 1905 1920 1919
1471 5 3 27 27 0 1681 1682 1697 1696 1906 1907 1922 1921
1472 5 3 27 27 0 1682 1683 1698 1697 1907 1908 1923 1922
1473 5 3 27 27 0 1683 1684 1699 1698 1908 1909 1924 1923
1474 5 3 27 27 0 1684 1685 1700 1699 1909 1910 1925 1924
1475 5 3 30 30 0 1685 1686 1701 1700 1910 1911 1926 1925
1476 5 3 30 30 0 1686 1687 1702 1701 1911 1912 1927 1926
1477 5 3 30 30 0 1687 1688 1703 1702 1912 1913 1928 1927
1478 5 3 6 6 0 1688 1689 1704 1703 1913 1914 1929 1928
1479 5 3 6 6 0 1689 1690 1705 1704 1914 1915 1930 1929
1480 5 3 16 16 0 1690 1691 1706 1705 1915 1916 1931 1930
1481 5 3 16 16 0 1691 1692 1707 1706 1916 1917 1932 1931
1482 5 3 22 22 0 1692 1693 1708 1707 1917 1918 1933 1932
1483 5 3 22 22 0 1693 1694 1709 1708 1918 1919 1934 1933
1484 5 3 22 22 0 1694 1695 1710 1709 1919 1920 1935 1934
1485 5 3 27 27 0 1696 1697 1712 1711 1921 1922 1937 1936
1486 5 3 27 27 0 1697 1698 1713 1712 1922 1923 1938 1937
1487 5 3 27 27 0 1698 1699 1714 1713 1923 1924 1939 1938
1488 5 3 27 27 0 1699 1700 1715 1714 1924 1925 1940 1939
1489 5 3 27 27 0 1700 1701 1716 1715 1925 1926 1941 1940
1490 5 3 30 30 0 1701 1702 1717 1716 1926 1927 1942 1941
1491 5 3 6 6 0 1702 1703 1718 1717 1927 1928 1943 1942
1492 5 3 6 6 0 1703 1704 1719 1718 1928 1929 1944 1943
1493 5 3 6 6 0 1704 1705 1720 1719 1929 1930 1945 1944
1494 5 3 16 16 0 1705 1706 1721 1720 1930 1931 1946 1945
1495 5 3 16 16 0 1706 1707 1722 1721 1931 1932 1947 1946
1496 5 3 10 10 0 1707 1708 1723 1722 1932 1933 1948 1947
1497 5 3 22 22 0 1708 1709 1724 1723 1933 1934 1949 1948
1498 5 3 22 22 0 1709 1710 1725 1724 1934 1935 1950 1949
1499 5 3 27 27 0 1711 1712 1727 1726 1936 1937 1952 1951
1500 5 3 27 27 0 1712 1713 1728 1727 1937 1938 1953 1952
1501 5 3 27 27 0 1713 1714 1729 1728 1938 1939 1954 1953
1502 5 3 27 27 0 1714 1715 1730 1729 1939 1940 1955 1954
1503 5 3 27 27 0 1715 1716 1731 1730 1940 1941 1956 1955
1504 5 3 27 27 0 1716 1717 1732 1731 1941 1942 1957 1956
1505 5 3 6 6 0 1717 1718 1733 1732 1942 1943 1958 1957
1506 5 3 6 6 0 1718 1719 1734 1733 1943 1944 1959 1958
1507 5 3 6 6 0 1719 1720 1735 1734 1944 1945 1960 1959
1508 5 3 6 6 0 1720 1721 1736 1735 1945 1946 1961 1960
1509 5 3 10 10 0 1721 1722 1737 1736 1946 1947 1962 1961
1510 5 3 10 10 0 1722 1723 1738 1737 1947 1948 1963 1962
1511 5 3 10 10 0 1723 1724 1739 1738 1948 1949 1964 1963
1512 5 3 10 10 0 1724 1725 1740 1739 1949 1950 1965 1964
1513 5 3 27 27 0 1726 1727 1742 1741 1951 1952 1967 1966
1514 5 3 27 27 0 1727 1728 1743 1742 1952 1953 1968 1967
1515 5 3 27 27 0 1728 1729 1744 1743 1953 1954 1969 1968
1516 5 3 27 27 0 1729 1730 1745 1744 1954 1955 1970 1969
1517 5 3 27 27 0 1730 1731 1746 1745 1955 1956 1971 1970
1518 5 3 27 27 0 1731 1732 1747 1746 1956 1957 1972 1971
1519 5 3 6 6 0 1732 1733 1748 1747 1957 1958 1973 1972
1520 5 3 6 6 0 1733 1734 1749 1748 1958 1959 1974 1973
1521 5 3 6 6 0 1734 1735 1750 1749 1959 1960 1975 1974
1522 5 3 10 10 0 1735 1736 1751 1750 1960 1961 1976 1975
1523 5 3 10 10 0 1736 1737 1752 1751 1961 1962 1977 1976
1524 5 3 10 10 0 1737 1738 1753 1752 1962 1963 1978 1977
1525 5 3 10 10 0 1738 1739 1754 1753 1963 1964 1979 1978
1526 5 3 10 10 0 1739 1740 1755 1754 1964 1965 1980 1979
1527 5 3 27 27 0 1741 1742 1757 1756 1966 1967 1982 1981
1528 5 3 27 27 0 1742 1743 1758 1757 1967 1968 1983 1982
1529 5 3 27 27 0 1743 1744 1759 1758 1968 1969 1984 1983
1530 5 3 27 27 0 1744 1745 1760 1759 1969 1970 1985 1984
1531 5 3 27 27 0 1745 1746 1761 1760 1970 1971 1986 1985
1532 5 3 27 27 0 1746 1747 1762 1761 1971 1972 1987 1986
1533 5 3 4 4 0 1747 1748 1763 1762 1972 1973 1988 1987
1534 5 3 4 4 0 1748 1749 1764 1763 1973 1974 1989 1988
1535 5 3 4 4 0 1749 1750 1765 1764 1974 1975 1990 1989
1536 5 3 10 10 0 1750 1751 1766 1765 1975 1976 1991 1990
1537 5 3 10 10 0 1751 1752 1767 1766 1976 1977 1992 1991
1538 5 3 10 10 0 1752 1753 1768 1767 1977 1978 1993 1992
1539 5 3 10 10 0 1753 1754 1769 1768 1978 1979 1994 1993
1540 5 3 10 10 0 1754 1755 1770 1769 1979 1980 1995 1994
1541 5 3 27 27 0 1756 1757 1772 1771 1981 1982 1997 1996
1542 5 3 27 27 0 1757 1758 1773 1772 1982 1983 1998 1997
1543 5 3 27 27 0 1758 1759 1774 1773 1983 1984 1999 1998
1544 5 3 27 27 0 1759 1760 1775 1774 1984 1985 2000 1999
1545 5 3 27 27 0 1760 1761 1776 1775 1985 1986 2001 2000
1546 5 3 27 27 0 1761 1762 1777 1776 1986 1987 2002 2001
1547 5 3 4 4 0 1762 1763 1778 1777 1987 1988 2003 2002
1548 5 3 4 4 0 1763 1764 1779 1778 1988 1989 2004 2003
1549 5 3 4 4 0 1764 1765 1780 1779 1989 1990 2005 2004
1550 5 3 10 10 0 1765 1766 1781 1780 1990 1991 2006 2005
1551 5 3 10 10 0 1766 1767 1782 1781 1991 1992 2007 2006
1552 5 3 10 10 0 1767 1768 1783 1782 1992 1993 2008 2007
1553 5 3 10 10 0 1768 1769 1784 1783 1993 1994 2009 2008
1554 5 3 10 10 0 1769 1770 1785 1784 1994 1995 2010 2009
1555 5 3 27 27 0 1771 1772 1787 1786 1996 1997 2012 2011
1556 5 3 27 27 0 1772 1773 1788 1787 1997 1998 2013 2012
1557 5 3 27 27 0 1773 1774 1789 1788 1998 1999 2014 2013
1558 5 3 27 27 0 1774 1775 1790 1789 1999 2000 2015 2014
1559 5 3 27 27 0 1775 1776 1791 1790 2000 2001 2016 2015
1560 5 3 27 27 0 1776 1777 1792 1791 2001 2002 2017 2016
1561 5 3 4 4 0 1777 1778 1793 1792 2002 2003 2018 2017
1562 5 3 4 4 0 1778 1779 1794 1793 2003 2004 2019 2018
1563 5 3 4 4 0 1779 1780 1795 1794 2004 2005 2020 2019
1564 5 3 10 10 0 1780 1781 1796 1795 2005 2006 2021 2020
1565 5 3 10 10 0 1781 1782 1797 1796 2006 2007 2022 2021
1566 5 3 10 10 0 1782 1783 1798 1797 2007 2008 2023 2022
1567 5 3 10 10 0 1783 1784 1799 1798 2008 2009 2024 2023
1568 5 3 10 10 0 1784 1785 1800 1799 2009 2010 2025 2024
1569 5 3 2 2 0 1801 1802 1817 1816 2026 2027 2042 2041
1570 5 3 2 2 0 1802 1803 1818 1817 2027 2028 2043 2042
1571 5 3 2 2 0 1803 1804 1819 1818 2028 2029 2044 2043
1572 5 3 2 2 0 1804 1805 1820 1819 2029 2030 2045 2044
1573 5 3 12 12 0 1805 1806 1821 1820 2030 2031 2046 2045
1574 5 3 12 12 0 1806 1807 1822 1821 2031 2032 2047 2046
1575 5 3 9 9 0 1807 1808 1823 1822 2032 2033 2048 2047
1576 5 3 9 9 0 1808 1809 1824 1823 2033 2034 2049 2048
1577 5 3 9 9 0 1809 1810 1825 1824 2034 2035 2050 2049
1578 5 3 9 9 0 1810 1811 1826 1825 2035 2036 2051 2050
1579 5 3 9 9 0 1811 1812 1827 1826 2036 2037 2052 2051
1580 5 3 18 18 0 1812 1813 1828 1827 2037 2038 2053 2052
1581 5 3 18 18 0 1813 1814 1829 1828 2038 2039 2054 2053
1582 5 3 18 18 0 1814 1815 1830 1829 2039 2040 2055 2054
1583 5 3 2 2 0 1816 1817 1832 1831 2041 2042 2057 2056
1584 5 3 2 2 0 1817 1818 1833 1832 2042 2043 2058 2057
1585 5 3 2 2 0 1818 1819 1834 1833 2043 2044 2059 2058
1586 5 3 2 2 0 1819 1820 1835 1834 2044 2045 2060 2059
1587 5 3 12 12 0 1820 1821 1836 1835 2045 2046 2061 2060
1588 5 3 12 12 0 1821 1822 1837 1836 2046 2047 2062 2061
1589 5 3 9 9 0 1822 1823 1838 1837 2047 2048 2063 2062
1590 5 3 9 9 0 1823 1824 1839 1838 2048 2049 2064 2063
1591 5 3 9 9 0 1824 1825 1840 1839 2049 2050 2065 2064
1592 5 3 9 9 0 1825 1826 1841 1840 2050 2051 2066 2065
1593 5 3 18 18 0 1826 1827 1842 1841 2051 2052 2067 2066
1594 5 3 18 18 0 1827 1828 1843 1842 2052 2053 2068 2067
1595 5 3 18 18 0 1828 1829 1844 1843 2053 2054 2069 2068
1596 5 3 18 18 0 1829 1830 1845 1844 2054 2055 2070 2069
1597 5 3 2 2 0 1831 1832 1847 1846 2056 2057 2072 2071
1598 5 3 2 2 0 1832 1833 1848 1847 2057 2058 2073 2072
1599 5 3 2 2 0 1833 1834 1849 1848 2058 2059 2074 2073
1600 5 3 2 2 0 1834 1835 1850 1849 2059 2060 2075 2074
1601 5 3 2 2 0 1835 1836 1851 1850 2060 2061 2076 2075
1602 5 3 12 12 0 1836 1837 1852 1851 2061 2062 2077 2076
1603 5 3 12 12 0 1837 1838 1853 1852 2062 2063 2078 2077
1604 5 3 9 9 0 1838 1839 1854 1853 2063 2064 2079 2078
1605 5 3 9 9 0 1839 1840 1855 1854 2064 2065 2080 2079
1606 5 3 9 9 0 1840 1841 1856 1855 2065 2066 2081 2080
1607 5 3 18 18 0 1841 1842 1857 1856 2066 2067 2082 2081
1608 5 3 18 18 0 1842 1843 1858 1857 2067 2068 2083 2082
1609 5 3 18 18 0 1843 1844 1859 1858 2068 2069 2084 2083
1610 5 3 18 18 0 1844 1845 1860 1859 2069 2070 2085 2084
1611 5 3 2 2 0 1846 1847 1862 1861 2071 2072 2087 2086
1612 5 3 2 2 0 1847 1848 1863 1862 2072 2073 2088 2087
1613 5 3 2 2 0 1848 1849 1864 1863 2073 2074 2089 2088
1614 5 3 2 2 0 1849 1850 1865 1864 2074 2075 2090 2089
1615 5 3 2 2 0 1850 1851 1866 1865 2075 2076 2091 2090
1616 5 3 12 12 0 1851 1852 1867 1866 2076 2077 2092 2091
1617 5 3 12 12 0 1852 1853 1868 1867 2077 2078 2093 2092
1618 5 3 9 9 0 1853 1854 1869 1868 2078 2079 2094 2093
1619 5 3 9 9 0 1854 1855 1870 1869 2079 2080 2095 2094
1620 5 3 9 9 0 1855 1856 1871 1870 2080 2081 2096 2095
1621 5 3 18 18 0 1856 1857 1872 1871 2081 2082 2097 2096
1622 5 3 18 18 0 1857 1858 1873 1872 2082 2083 2098 2097
1623 5 3 18 18 0 1858 1859 1874 1873 2083 2084 2099 2098
1624 5 3 18 18 0 1859 1860 1875 1874 2084 2085 2100 2099
1625 5 3 2 2 0 1861 1862 1877 1876 2086 2087 2102 2101
1626 5 3 2 2 0 1862 1863 1878 1877 2087 2088 2103 2102
1627 5 3 2 2 0 1863 1864 1879 1878 2088 2089 2104 2103
1628 5 3 2 2 0 1864 1865 1880 1879 2089 2090 2105 2104
1629 5 3 2 2 0 1865 1866 1881 1880 2090 2091 2106 2105
1630 5 3 12 12 0 1866 1867 1882 1881 2091 2092 2107 2106
1631 5 3 12 12 0 1867 1868 1883 1882 2092 2093 2108 2107
1632 5 3 23 23 0 1868 1869 1884 1883 2093 2094 2109 2108
1633 5 3 23 23 0 1869 1870 1885 1884 2094 2095 2110 2109
1634 5 3 23 23 0 1870 1871 1886 1885 2095 2096 2111 2110
1635 5 3 18 18 0 1871 1872 1887 1886 2096 2097 2112 2111
1636 5 3 18 18 0 1872 1873 1888 1887 2097 2098 2113 2112
1637 5 3 18 18 0 1873 1874 1889 1888 2098 2099 2114 2113
1638 5 3 18 18 0 1874 1875 1890 1889 2099 2100 2115 2114
1639 5 3 2 2 0 1876 1877 1892 1891 2101 2102 2117 2116
1640 5 3 2 2 0 1877 1878 1893 1892 2102 2103 2118 2117
1641 5 3 2 2 0 1878 1879 1894 1893 2103 2104 2119 2118
1642 5 3 2 2 0 1879 1880 1895 1894 2104 2105 2120 2119
1643 5 3 30 30 0 1880 1881 1896 1895 2105 2106 2121 2120
1644 5 3 30 30 0 1881 1882 1897 1896 2106 2107 2122 2121
1645 5 3 30 30 0 1882 1883 1898 1897 2107 2108 2123 2122
1646 5 3 23 23 0 1883 1884 1899 1898 2108 2109 2124 2123
1647 5 3 23 23 0 1884 1885 1900 1899 2109 2110 2125 2124
1648 5 3 23 23 0 1885 1886 1901 1900 2110 2111 2126 2125
1649 5 3 23 23 0 1886 1887 1902 1901 2111 2112 2127 2126
1650 5 3 22 22 0 1887 1888 1903 1902 2112 2113 2128 2127
1651 5 3 22 22 0 1888 1889 1904 1903 2113 2114 2129 2128
1652 5 3 22 22 0 1889 1890 1905 1904 2114 2115 2130 2129
1653 5 3 2 2 0 1891 1892 1907 1906 2116 2117 2132 2131
1654 5 3 28 28 0 1892 1893 1908 1907 2117 2118 2133 2132
1655 5 3 28 28 0 1893 1894 1909 1908 2118 2119 2134 2133
1656 5 3 28 28 0 1894 1895 1910 1909 2119 2120 2135 2134
1657 5 3 30 30 0 1895 1896 1911 1910 2120 2121 2136 2135
1658 5 3 30 30 0 1896 1897 1912 1911 2121 2122 2137 2136
1659 5 3 30 30 0 1897 1898 1913 1912 2122 2123 2138 2137
1660 5 3 23 23 0 1898 1899 1914 1913 2123 2124 2139 2138
1661 5 3 23 23 0 1899 1900 1915 1914 2124 2125 2140 2139
1662 5 3 23 23 0 1900 1901 1916 1915 2125 2126 2141 2140
1663 5 3 23 23 0 1901 1902 1917 1916 2126 2127 2142 2141
1664 5 3 22 22 0 1902 1903 1918 1917 2127 2128 2143 2142
1665 5 3 22 22 0 1903 1904 1919 1918 2128 2129 2144 2143
1666 5 3 22 22 0 1904 1905 1920 1919 2129 2130 2145 2144
1667 5 3 27 27 0 1906 1907 1922 1921 2131 2132 2147 2146
1668 5 3 27 27 0 1907 1908 1923 1922 2132 2133 2148 2147
1669 5 3 27 27 0 1908 1909 1924 1923 2133 2134 2149 2148
1670 5 3 27 27 0 1909 1910 1925 1924 2134 2135 2150 2149
1671 5 3 30 30 0 1910 1911 1926 1925 2135 2136 2151 2150
1672 5 3 30 30 0 1911 1912 1927 1926 2136 2137 2152 2151
1673 5 3 30 30 0 1912 1913 1928 1927 2137 2138 2153 2152
1674 5 3 6 6 0 1913 1914 1929 1928 2138 2139 2154 2153
1675 5 3 23 23 0 1914 1915 1930 1929 2139 2140 2155 2154
1676 5 3 23 23 0 1915 1916 1931 1930 2140 2141 2156 2155
1677 5 3 15 15 0 1916 1917 1932 1931 2141 2142 2157 2156
1678 5 3 22 22 0 1917 1918 1933 1932 2142 2143 2158 2157
1679 5 3 22 22 0 1918 1919 1934 1933 2143 2144 2159 2158
1680 5 3 22 22 0 1919 1920 1935 1934 2144 2145 2160 2159
1681 5 3 27 27 0 1921 1922 1937 1936 2146 2147 2162 2161
1682 5 3 27 27 0 1922 1923 1938 1937 2147 2148 2163 2162
1683 5 3 27 27 0 1923 1924 1939 1938 2148 2149 2164 2163
1684 5 3 27 27 0 1924 1925 1940 1939 2149 2150 2165 2164
1685 5 3 27 27 0 1925 1926 1941 1940 2150 2151 2166 2165
1686 5 3 30 30 0 1926 1927 1942 1941 2151 2152 2167 2166
1687 5 3 6 6 0 1927 1928 1943 1942 2152 2153 2168 2167
1688 5 3 6 6 0 1928 1929 1944 1943 2153 2154 2169 2168
1689 5 3 6 6 0 1929 1930 1945 1944 2154 2155 2170 2169
1690 5 3 15 15 0 1930 1931 1946 1945 2155 2156 2171 2170
1691 5 3 15 15 0 1931 1932 1947 1946 2156 2157 2172 2171
1692 5 3 22 22 0 1932 1933 1948 1947 2157 2158 2173 2172
1693 5 3 22 22 0 1933 1934 1949 1948 2158 2159 2174 2173
1694 5 3 22 22 0 1934 1935 1950 1949 2159 2160 2175 2174
1695 5 3 27 27 0 1936 1937 1952 1951 2161 2162 2177 2176
1696 5 3 27 27 0 1937 1938 1953 1952 2162 2163 2178 2177
1697 5 3 27 27 0 1938 1939 1954 1953 2163 2164 2179 2178
1698 5 3 27 27 0 1939 1940 1955 1954 2164 2165 2180 2179
1699 5 3 27 27 0 1940 1941 1956 1955 2165 2166 2181 2180
1700 5 3 27 27 0 1941 1942 1957 1956 2166 2167 2182 2181
1701 5 3 6 6 0 1942 1943 1958 1957 2167 2168 2183 2182
1702 5 3 6 6 0 1943 1944 1959 1958 2168 2169 2184 2183
1703 5 3 6 6 0 1944 1945 1960 1959 2169 2170 2185 2184
1704 5 3 6 6 0 1945 1946 1961 1960 2170 2171 2186 2185
1705 5 3 10 10 0 1946 1947 1962 1961 2171 2172 2187 2186
1706 5 3 10 10 0 1947 1948 1963 1962 2172 2173 2188 2187
1707 5 3 10 10 0 1948 1949 1964 1963 2173 2174 2189 2188
1708 5 3 10 10 0 1949 1950 1965 1964 2174 2175 2190 2189
1709 5 3 27 27 0 1951 1952 1967 1966 2176 2177 2192 2191
1710 5 3 27 27 0 1952 1953 1968 1967 2177 2178 2193 2192
1711 5 3 27 27 0 1953 1954 1969 1968 2178 2179 2194 2193
1712 5 3 27 27 0 1954 1955 1970 1969 2179 2180 2195 2194
1713 5 3 27 27 0 1955 1956 1971 1970 2180 2181 2196 2195
1714 5 3 27 27 0 1956 1957 1972 1971 2181 2182 2197 2196
1715 5 3 17 17 0 1957 1958 1973 1972 2182 2183 2198 2197
1716 5 3 6 6 0 1958 1959 1974 1973 2183 2184 2199 2198
1717 5 3 6 6 0 1959 1960 1975 1974 2184 2185 2200 2199
1718 5 3 10 10 0 1960 1961 1976 1975 2185 2186 2201 2200
1719 5 3 10 10 0 1961 1962 1977 1976 2186 2187 2202 2201
1720 5 3 10 10 0 1962 1963 1978 1977 2187 2188 2203 2202
1721 5 3 10 10 0 1963 1964 1979 1978 2188 2189 2204 2203
1722 5 3 10 10 0 1964 1965 1980 1979 2189 2190 2205 2204
1723 5 3 27 27 0 1966 1967 1982 1981 2191 2192 2207 2206
1724 5 3 27 27 0 1967 1968 1983 1982 2192 2193 2208 2207
1725 5 3 27 27 0 1968 1969 1984 1983 2193 2194 2209 2208
1726 5 3 27 27 0 1969 1970 1985 1984 2194 2195 2210 2209
1727 5 3 27 27 0 1970 1971 1986 1985 2195 2196 2211 2210
1728 5 3 27 27 0 1971 1972 1987 1986 2196 2197 2212 2211
1729 5 3 4 4 0 1972 1973 1988 1987 2197 2198 2213 2212
1730 5 3 4 4 0 1973 1974 1989 1988 2198 2199 2214 2213
1731 5 3 4 4 0 1974 1975 1990 1989 2199 2200 2215 2214
1732 5 3 10 10 0 1975 1976 1991 1990 2200 2201 2216 2215
1733 5 3 10 10 0 1976 1977 1992 1991 2201 2202 2217 2216
1734 5 3 10 10 0 1977 1978 1993 1992 2202 2203 2218 2217
1735 5 3 10 10 0 1978 1979 1994 1993 2203 2204 2219 2218
1736 5 3 10 10 0 1979 1980 1995 1994 2204 2205 2220 2219
1737 5 3 27 27 0 1981 1982 1997 1996 2206 2207 2222 2221
1738 5 3 27 27 0 1982 1983 1998 1997 2207 2208 2223 2222
1739 5 3 27 27 0 1983 1984 1999 1998 2208 2209 2224 2223
1740 5 3 27 27 0 1984 1985 2000 1999 2209 2210 2225 2224
1741 5 3 27 27 0 1985 1986 2001 2000 2210 2211 2226 2225
1742 5 3 27 27 0 1986 1987 2002 2001 2211 2212 2227 2226
1743 5 3 4 4 0 1987 1988 2003 2002 2212 2213 2228 2227
1744 5 3 4 4 0 1988 1989 2004 2003 2213 2214 2229 2228
1745 5 3 4 4 0 1989 1990 2005 2004 2214 2215 2230 2229
1746 5 3 10 10 0 1990 1991 2006 2005 2215 2216 2231 2230
1747 5 3 10 10 0 1991 1992 2007 2006 2216 2217 2232 2231
1748 5 3 10 10 0 1992 1993 2008 2007 2217 2218 2233 2232
1749 5 3 10 10 0 1993 1994 2009 2008 2218 2219 2234 2233
1750 5 3 10 10 0 1994 1995 2010 2009 2219 2220 2235 2234
1751 5 3 27 27 0 1996 1997 2012 2011 2221 2222 2237 2236
1752 5 3 27 27 0 1997 1998 2013 2012 2222 2223 2238 2237
1753 5 3 27 27 0 1998 1999 2014 2013 2223 2224 2239 2238
1754 5 3 27 27 0 1999 2000 2015 2014 2224 2225 2240 2239
1755 5 3 27 27 0 2000 2001 2016 2015 2225 2226 2241 2240
1756 5 3 27 27 0 2001 2002 2017 2016 2226 2227 2242 2241
1757 5 3 4 4 0 2002 2003 2018 2017 2227 2228 2243 2242
1758 5 3 4 4 0 2003 2004 2019 2018 2228 2229 2244 2243
1759 5 3 4 4 0 2004 2005 2020 2019 2229 2230 2245 2244
1760 5 3 10 10 0 2005 2006 2021 2020 2230 2231 2246 2245
1761 5 3 10 10 0 2006 2007 2022 2021 2231 2232 2247 2246
1762 5 3 10 10 0 2007 2008 2023 2022 2232 2233 2248 2247
1763 5 3 10 10 0 2008 2009 2024 2023 2233 2234 2249 2248
1764 5 3 10 10 0 2009 2010 2025 2024 2234 2235 2250 2249
1765 5 3 2 2 0 2026 2027 2042 2041 2251 2252 2267 2266
1766 5 3 2 2 0 2027 2028 2043 2042 2252 2253 2268 2267
1767 5 3 2 2 0 2028 2029 2044 2043 2253 2254 2269 2268
1768 5 3 12 12 0 2029 2030 2045 2044 2254 2255 2270 2269
1769 5 3 12 12 0 2030 2031 2046 2045 2255 2256 2271 2270
1770 5 3 12 12 0 2031 2032 2047 2046 2256 2257 2272 2271
1771 5 3 12 12 0 2032 2033 2048 2047 2257 2258 2273 2272
1772 5 3 9 9 0 2033 2034 2049 2048 2258 2259 2274 2273
1773 5 3 9 9 0 2034 2035 2050 2049 2259 2260 2275 2274
1774 5 3 9 9 0 2035 2036 2051 2050 2260 2261 2276 2275
1775 5 3 21 21 0 2036 2037 2052 2051 2261 2262 2277 2276
1776 5 3 21 21 0 2037 2038 2053 2052 2262 2263 2278 2277
1777 5 3 21 21 0 2038 2039 2054 2053 2263 2264 2279 2278
1778 5 3 21 21 0 2039 2040 2055 2054 2264 2265 2280 2279
1779 5 3 2 2 0 2041 2042 2057 2056 2266 2267 2282 2281
1780 5 3 2 2 0 2042 2043 2058 2057 2267 2268 2283 2282
1781 5 3 2 2 0 2043 2044 2059 2058 2268 2269 2284 2283
1782 5 3 12 12 0 2044 2045 2060 2059 2269 2270 2285 2284
1783 5 3 12 12 0 2045 2046 2061 2060 2270 2271 2286 2285
1784 5 3 12 12 0 2046 2047 2062 2061 2271 2272 2287 2286
1785 5 3 12 12 0 2047 2048 2063 2062 2272 2273 2288 2287
1786 5 3 9 9 0 2048 2049 2064 2063 2273 2274 2289 2288
1787 5 3 9 9 0 2049 2050 2065 2064 2274 2275 2290 2289
1788 5 3 9 9 0 2050 2051 2066 2065 2275 2276 2291 2290
1789 5 3 21 21 0 2051 2052 2067 2066 2276 2277 2292 2291
1790 5 3 21 21 0 2052 2053 2068 2067 2277 2278 2293 2292
1791 5 3 21 21 0 2053 2054 2069 2068 2278 2279 2294 2293
1792 5 3 21 21 0 2054 2055 2070 2069 2279 2280 2295 2294
1793 5 3 2 2 0 2056 2057 2072 2071 2281 2282 2297 2296
1794 5 3 2 2 0 2057 2058 2073 2072 2282 2283 2298 2297
1795 5 3 2 2 0 2058 2059 2074 2073 2283 2284 2299 2298
1796 5 3 12 12 0 2059 2060 2075 2074 2284 2285 2300 2299
1797 5 3 12 12 0 2060 2061 2076 2075 2285 2286 2301 2300
1798 5 3 12 12 0 2061 2062 2077 2076 2286 2287 2302 2301
1799 5 3 12 12 0 2062 2063 2078 2077 2287 2288 2303 2302
1800 5 3 9 9 0 2063 2064 2079 2078 2288 2289 2304 2303
1801 5 3 9 9 0 2064 2065 2080 2079 2289 2290 2305 2304
1802 5 3 21 21 0 2065 2066 2081 2080 2290 2291 2306 2305
1803 5 3 21 21 0 2066 2067 2082 2081 2291 2292 2307 2306
1804 5 3 21 21 0 2067 2068 2083 2082 2292 2293 2308 2307
1805 5 3 21 21 0 2068 2069 2084 2083 2293 2294 2309 2308
1806 5 3 21 21 0 2069 2070 2085 2084 2294 2295 2310 2309
1807 5 3 2 2 0 2071 2072 2087 2086 2296 2297 2312 2311
1808 5 3 2 2 0 2072 2073 2088 2087 2297 2298 2313 2312
1809 5 3 2 2 0 2073 2074 2089 2088 2298 2299 2314 2313
1810 5 3 2 2 0 2074 2075 2090 2089 2299 2300 2315 2314
1811 5 3 12 12 0 2075 2076 2091 2090 2300 2301 2316 2315
1812 5 3 12 12 0 2076 2077 2092 2091 2301 2302 2317 2316
1813 5 3 12 12 0 2077 2078 2093 2092 2302 2303 2318 2317
1814 5 3 25 25 0 2078 2079 2094 2093 2303 2304 2319 2318
1815 5 3 23 23 0 2079 2080 2095 2094 2304 2305 2320 2319
1816 5 3 23 23 0 2080 2081 2096 2095 2305 2306 2321 2320
1817 5 3 21 21 0 2081 2082 2097 2096 2306 2307 2322 2321
1818 5 3 21 21 0 2082 2083 2098 2097 2307 2308 2323 2322
1819 5 3 21 21 0 2083 2084 2099 2098 2308 2309 2324 2323
1820 5 3 21 21 0 2084 2085 2100 2099 2309 2310 2325 2324
1821 5 3 2 2 0 2086 2087 2102 2101 2311 2312 2327 2326
1822 5 3 2 2 0 2087 2088 2103 2102 2312 2313 2328 2327
1823 5 3 2 2 0 2088 2089 2104 2103 2313 2314 2329 2328
1824 5 3 2 2 0 2089 2090 2105 2104 2314 2315 2330 2329
1825 5 3 12 12 0 2090 2091 2106 2105 2315 2316 2331 2330
1826 5 3 12 12 0 2091 2092 2107 2106 2316 2317 2332 2331
1827 5 3 12 12 0 2092 2093 2108 2107 2317 2318 2333 2332
1828 5 3 23 23 0 2093 2094 2109 2108 2318 2319 2334 2333
1829 5 3 23 23 0 2094 2095 2110 2109 2319 2320 2335 2334
1830 5 3 23 23 0 2095 2096 2111 2110 2320 2321 2336 2335
1831 5 3 23 23 0 2096 2097 2112 2111 2321 2322 2337 2336
1832 5 3 21 21 0 2097 2098 2113 2112 2322 2323 2338 2337
1833 5 3 21 21 0 2098 2099 2114 2113 2323 2324 2339 2338
1834 5 3 21 21 0 2099 2100 2115 2114 2324 2325 2340 2339
1835 5 3 28 28 0 2101 2102 2117 2116 2326 2327 2342 2341
1836 5 3 28 28 0 2102 2103 2118 2117 2327 2328 2343 2342
1837 5 3 28 28 0 2103 2104 2119 2118 2328 2329 2344 2343
1838 5 3 28 28 0 2104 2105 2120 2119 2329 2330 2345 2344
1839 5 3 28 28 0 2105 2106 2121 2120 2330 2331 2346 2345
1840 5 3 30 30 0 2106 2107 2122 2121 2331 2332 2347 2346
1841 5 3 30 30 0 2107 2108 2123 2122 2332 2333 2348 2347
1842 5 3 23 23 0 2108 2109 2124 2123 2333 2334 2349 2348
1843 5 3 23 23 0 2109 2110 2125 2124 2334 2335 2350 2349
1844 5 3 23 23 0 2110 2111 2126 2125 2335 2336 2351 2350
1845 5 3 23 23 0 2111 2112 2127 2126 2336 2337 2352 2351
1846 5 3 22 22 0 2112 2113 2128 2127 2337 2338 2353 2352
1847 5 3 22 22 0 2113 2114 2129 2128 2338 2339 2354 2353
1848 5 3 22 22 0 2114 2115 2130 2129 2339 2340 2355 2354
1849 5 3 28 28 0 2116 2117 2132 2131 2341 2342 2357 2356
1850 5 3 28 28 0 2117 2118 2133 2132 2342 2343 2358 2357
1851 5 3 28 28 0 2118 2119 2134 2133 2343 2344 2359 2358
1852 5 3 28 28 0 2119 2120 2135 2134 2344 2345 2360 2359
1853 5 3 28 28 0 2120 2121 2136 2135 2345 2346 2361 2360
1854 5 3 30 30 0 2121 2122 2137 2136 2346 2347 2362 2361
1855 5 3 30 30 0 2122 2123 2138 2137 2347 2348 2363 2362
1856 5 3 23 23 0 2123 2124 2139 2138 2348 2349 2364 2363
1857 5 3 23 23 0 2124 2125 2140 2139 2349 2350 2365 2364
1858 5 3 23 23 0 2125 2126 2141 2140 2350 2351 2366 2365
1859 5 3 23 23 0 2126 2127 2142 2141 2351 2352 2367 2366
1860 5 3 22 22 0 2127 2128 2143 2142 2352 2353 2368 2367
1861 5 3 22 22 0 2128 2129 2144 2143 2353 2354 2369 2368
1862 5 3 22 22 0 2129 2130 2145 2144 2354 2355 2370 2369
1863 5 3 28 28 0 2131 2132 2147 2146 2356 2357 2372 2371
1864 5 3 28 28 0 2132 2133 2148 2147 2357 2358 2373 2372
1865 5 3 28 28 0 2133 2134 2149 2148 2358 2359 2374 2373
1866 5 3 28 28 0 2134 2135 2150 2149 2359 2360 2375 2374
1867 5 3 28 28 0 2135 2136 2151 2150 2360 2361 2376 2375
1868 5 3 30 30 0 2136 2137 2152 2151 2361 2362 2377 2376
1869 5 3 30 30 0 2137 2138 2153 2152 2362 2363 2378 2377
1870 5 3 23 23 0 2138 2139 2154 2153 2363 2364 2379 2378
1871 5 3 23 23 0 2139 2140 2155 2154 2364 2365 2380 2379
1872 5 3 23 23 0 2140 2141 2156 2155 2365 2366 2381 2380
1873 5 3 15 15 0 2141 2142 2157 2156 2366 2367 2382 2381
1874 5 3 22 22 0 2142 2143 2158 2157 2367 2368 2383 2382
1875 5 3 22 22 0 2143 2144 2159 2158 2368 2369 2384 2383
1876 5 3 22 22 0 2144 2145 2160 2159 2369 2370 2385 2384
1877 5 3 27 27 0 2146 2147 2162 2161 2371 2372 2387 2386
1878 5 3 27 27 0 2147 2148 2163 2162 2372 2373 2388 2387
1879 5 3 27 27 0 2148 2149 2164 2163 2373 2374 2389 2388
1880 5 3 27 27 0 2149 2150 2165 2164 2374 2375 2390 2389
1881 5 3 27 27 0 2150 2151 2166 2165 2375 2376 2391 2390
1882 5 3 17 17 0 2151 2152 2167 2166 2376 2377 2392 2391
1883 5 3 17 17 0 2152 2153 2168 2167 2377 2378 2393 2392
1884 5 3 17 17 0 2153 2154 2169 2168 2378 2379 2394 2393
1885 5 3 17 17 0 2154 2155 2170 2169 2379 2380 2395 2394
1886 5 3 15 15 0 2155 2156 2171 2170 2380 2381 2396 2395
1887 5 3 15 15 0 2156 2157 2172 2171 2381 2382 2397 2396
1888 5 3 22 22 0 2157 2158 2173 2172 2382 2383 2398 2397
1889 5 3 22 22 0 2158 2159 2174 2173 2383 2384 2399 2398
1890 5 3 22 22 0 2159 2160 2175 2174 2384 2385 2400 2399
1891 5 3 27 27 0 2161 2162 2177 2176 2386 2387 2402 2401
1892 5 3 27 27 0 2162 2163 2178 2177 2387 2388 2403 2402
1893 5 3 27 27 0 2163 2164 2179 2178 2388 2389 2404 2403
1894 5 3 27 27 0 2164 2165 2180 2179 2389 2390 2405 2404
1895 5 3 27 27 0 2165 2166 2181 2180 2390 2391 2406 2405
1896 5 3 17 17 0 2166 2167 2182 2181 2391 2392 2407 2406
1897 5 3 17 17 0 2167 2168 2183 2182 2392 2393 2408 2407
1898 5 3 17 17 0 2168 2169 2184 2183 2393 2394 2409 2408
1899 5 3 17 17 0 2169 2170 2185 2184 2394 2395 2410 2409
1900 5 3 17 17 0 2170 2171 2186 2185 2395 2396 2411 2410
1901 5 3 15 15 0 2171 2172 2187 2186 2396 2397 2412 2411
1902 5 3 26 26 0 2172 2173 2188 2187 2397 2398 2413 2412
1903 5 3 26 26 0 2173 2174 2189 2188 2398 2399 2414 2413
1904 5 3 26 26 0 2174 2175 2190 2189 2399 2400 2415 2414
1905 5 3 27 27 0 2176 2177 2192 2191 2401 2402 2417 2416
1906 5 3 27 27 0 2177 2178 2193 2192 2402 2403 2418 2417
1907 5 3 27 27 0 2178 2179 2194 2193 2403 2404 2419 2418
1908 5 3 27 27 0 2179 2180 2195 2194 2404 2405 2420 2419
1909 5 3 27 27 0 2180 2181 2196 2195 2405 2406 2421 2420
1910 5 3 17 17 0 2181 2182 2197 2196 2406 2407 2422 2421
1911 5 3 17 17 0 2182 2183 2198 2197 2407 2408 2423 2422
1912 5 3 17 17 0 2183 2184 2199 2198 2408 2409 2424 2423
1913 5 3 17 17 0 2184 2185 2200 2199 2409 2410 2425 2424
1914 5 3 17 17 0 2185 2186 2201 2200 2410 2411 2426 2425
1915 5 3 10 10 0 2186 2187 2202 2201 2411 2412 2427 2426
1916 5 3 10 10 0 2187 2188 2203 2202 2412 2413 2428 2427
1917 5 3 26 26 0 2188 2189 2204 2203 2413 2414 2429 2428
1918 5 3 26 26 0 2189 2190 2205 2204 2414 2415 2430 2429
1919 5 3 27 27 0 2191 2192 2207 2206 2416 2417 2432 2431
1920 5 3 27 27 0 2192 2193 2208 2207 2417 2418 2433 2432
1921 5 3 27 27 0 2193 2194 2209 2208 2418 2419 2434 2433
1922 5 3 27 27 0 2194 2195 2210 2209 2419 2420 2435 2434
1923 5 3 27 27 0 2195 2196 2211 2210 2420 2421 2436 2435
1924 5 3 17 17 0 2196 2197 2212 2211 2421 2422 2437 2436
1925 5 3 17 17 0 2197 2198 2213 2212 2422 2423 2438 2437
1926 5 3 17 17 0 2198 2199 2214 2213 2423 2424 2439 2438
1927 5 3 17 17 0 2199 2200 2215 2214 2424 2425 2440 2439
1928 5 3 17 17 0 2200 2201 2216 2215 2425 2426 2441 2440
1929 5 3 10 10 0 2201 2202 2217 2216 2426 2427 2442 2441
1930 5 3 10 10 0 2202 2203 2218 2217 2427 2428 2443 2442
1931 5 3 10 10 0 2203 2204 2219 2218 2428 2429 2444 2443
1932 5 3 26 26 0 2204 2205 2220 2219 2429 2430 2445 2444
1933 5 3 27 27 0 2206 2207 2222 2221 2431 2432 2447 2446
1934 5 3 27 27 0 2207 2208 2223 2222 2432 2433 2448 2447
1935 5 3 27 27 0 2208 2209 2224 2223 2433 2434 2449 2448
1936 5 3 27 27 0 2209 2210 2225 2224 2434 2435 2450 2449
1937 5 3 27 27 0 2210 2211 2226 2225 2435 2436 2451 2450
1938 5 3 17 17 0 2211 2212 2227 2226 2436 2437 2452 2451
1939 5 3 17 17 0 2212 2213 2228 2227 2437 2438 2453 2452
1940 5 3 17 17 0 2213 2214 2229 2228 2438 2439 2454 2453
1941 5 3 17 17 0 2214 2215 2230 2229 2439 2440 2455 2454
1942 5 3 10 10 0 2215 2216 2231 2230 2440 2441 2456 2455
1943 5 3 10 10 0 2216 2217 2232 2231 2441 2442 2457 2456
1944 5 3 10 10 0 2217 2218 2233 2232 2442 2443 2458 2457
1945 5 3 10 10 0 2218 2219 2234 2233 2443 2444 2459 2458
1946 5 3 10 10 0 2219 2220 2235 2234 2444 2445 2460 2459
1947 5 3 27 27 0 2221 2222 2237 2236 2446 2447 2462 2461
1948 5 3 27 27 0 2222 2223 2238 2237 2447 2448 2463 2462
1949 5 3 27 27 0 2223 2224 2239 2238 2448 2449 2464 2463
1950 5 3 27 27 0 2224 2225 2240 2239 2449 2450 2465 2464
1951 5 3 27 27 0 2225 2226 2241 2240 2450 2451 2466 2465
1952 5 3 27 27 0 2226 2227 2242 2241 2451 2452 2467 2466
1953 5 3 17 17 0 2227 2228 2243 2242 2452 2453 2468 2467
1954 5 3 17 17 0 2228 2229 2244 2243 2453 2454 2469 2468
1955 5 3 17 17 0 2229 2230 2245 2244 2454 2455 2470 2469
1956 5 3 10 10 0 2230 2231 2246 2245 2455 2456 2471 2470
1957 5 3 10 10 0 2231 2232 2247 2246 2456 2457 2472 2471
1958 5 3 10 10 0 2232 2233 2248 2247 2457 2458 2473 2472
1959 5 3 10 10 0 2233 2234 2249 2248 2458 2459 2474 2473
1960 5 3 10 10 0 2234 2235 2250 2249 2459 2460 2475 2474
1961 5 3 7 7 0 2251 2252 2267 2266 2476 2477 2492 2491
1962 5 3 7 7 0 2252 2253 2268 2267 2477 2478 2493 2492
1963 5 3 7 7 0 2253 2254 2269 2268 2478 2479 2494 2493
1964 5 3 7 7 0 2254 2255 2270 2269 2479 2480 2495 2494
1965 5 3 12 12 0 2255 2256 2271 2270 2480 2481 2496 2495
1966 5 3 12 12 0 2256 2257 2272 2271 2481 2482 2497 2496
1967 5 3 25 25 0 2257 2258 2273 2272 2482 2483 2498 2497
1968 5 3 25 25 0 2258 2259 2274 2273 2483 2484 2499 2498
1969 5 3 25 25 0 2259 2260 2275 2274 2484 2485 2500 2499
1970 5 3 21 21 0 2260 2261 2276 2275 2485 2486 2501 2500
1971 5 3 21 21 0 2261 2262 2277 2276 2486 2487 2502 2501
1972 5 3 21 21 0 2262 2263 2278 2277 2487 2488 2503 2502
1973 5 3 21 21 0 2263 2264 2279 2278 2488 2489 2504 2503
1974 5 3 21 21 0 2264 2265 2280 2279 2489 2490 2505 2504
1975 5 3 7 7 0 2266 2267 2282 2281 2491 2492 2507 2506
1976 5 3 7 7 0 2267 2268 2283 2282 2492 2493 2508 2507
1977 5 3 7 7 0 2268 2269 2284 2283 2493 2494 2509 2508
1978 5 3 7 7 0 2269 2270 2285 2284 2494 2495 2510 2509
1979 5 3 12 12 0 2270 2271 2286 2285 2495 2496 2511 2510
1980 5 3 12 12 0 2271 2272 2287 2286 2496 2497 2512 2511
1981 5 3 25 25 0 2272 2273 2288 2287 2497 2498 2513 2512
1982 5 3 25 25 0 2273 2274 2289 2288 2498 2499 2514 2513
1983 5 3 25 25 0 2274 2275 2290 2289 2499 2500 2515 2514
1984 5 3 21 21 0 2275 2276 2291 2290 2500 2501 2516 2515
1985 5 3 21 21 0 2276 2277 2292 2291 2501 2502 2517 2516
1986 5 3 21 21 0 2277 2278 2293 2292 2502 2503 2518 2517
1987 5 3 21 21 0 2278 2279 2294 2293 2503 2504 2519 2518
1988 5 3 21 21 0 2279 2280 2295 2294 2504 2505 2520 2519
1989 5 3 7 7 0 2281 2282 2297 2296 2506 2507 2522 2521
1990 5 3 7 7 0 2282 2283 2298 2297 2507 2508 2523 2522
1991 5 3 7 7 0 2283 2284 2299 2298 2508 2509 2524 2523
1992 5 3 7 7 0 2284 2285 2300 2299 2509 2510 2525 2524
1993 5 3 12 12 0 2285 2286 2301 2300 2510 2511 2526 2525
1994 5 3 12 12 0 2286 2287 2302 2301 2511 2512 2527 2526
1995 5 3 25 25 0 2287 2288 2303 2302 2512 2513 2528 2527
1996 5 3 25 25 0 2288 2289 2304 2303 2513 2514 2529 2528
1997 5 3 25 25 0 2289 2290 2305 2304 2514 2515 2530 2529
1998 5 3 21 21 0 2290 2291 2306 2305 2515 2516 2531 2530
1999 5 3 21 21 0 2291 2292 2307 2306 2516 2517 2532 2531
2000 5 3 21 21 0 2292 2293 2308 2307 2517 2518 2533 2532
2001 5 3 21 21 0 2293 2294 2309 2308 2518 2519 2534 2533
2002 5 3 21 21 0 2294 2295 2310 2309 2519 2520 2535 2534
2003 5 3 7 7 0 2296 2297 2312 2311 2521 2522 2537 2536
2004 5 3 7 7 0 2297 2298 2313 2312 2522 2523 2538 2537
2005 5 3 7 7 0 2298 2299 2314 2313 2523 2524 2539 2538
2006 5 3 7 7 0 2299 2300 2315 2314 2524 2525 2540 2539
2007 5 3 12 12 0 2300 2301 2316 2315 2525 2526 2541 2540
2008 5 3 12 12 0 2301 2302 2317 2316 2526 2527 2542 2541
2009 5 3 25 25 0 2302 2303 2318 2317 2527 2528 2543 2542
2010 5 3 25 25 0 2303 2304 2319 2318 2528 2529 2544 2543
2011 5 3 25 25 0 2304 2305 2320 2319 2529 2530 2545 2544
2012 5 3 21 21 0 2305 2306 2321 2320 2530 2531 2546 2545
2013 5 3 21 21 0 2306 2307 2322 2321 2531 2532 2547 2546
2014 5 3 21 21 0 2307 2308 2323 2322 2532 2533 2548 2547
2015 5 3 21 21 0 2308 2309 2324 2323 2533 2534 2549 2548
2016 5 3 21 21 0 2309 2310 2325 2324 2534 2535 2550 2549
2017 5 3 7 7 0 2311 2312 2327 2326 2536 2537 2552 2551
2018 5 3 7 7 0 2312 2313 2328 2327 2537 2538 2553 2552
2019 5 3 7 7 0 2313 2314 2329 2328 2538 2539 2554 2553
2020 5 3 28 28 0 2314 2315 2330 2329 2539 2540 2555 2554
2021 5 3 12 12 0 2315 2316 2331 2330 2540 2541 2556 2555
2022 5 3 12 12 0 2316 2317 2332 2331 2541 2542 2557 2556
2023 5 3 25 25 0 2317 2318 2333 2332 2542 2543 2558 2557
2024 5 3 25 25 0 2318 2319 2334 2333 2543 2544 2559 2558
2025 5 3 25 25 0 2319 2320 2335 2334 2544 2545 2560 2559
2026 5 3 23 23 0 2320 2321 2336 2335 2545 2546 2561 2560
2027 5 3 21 21 0 2321 2322 2337 2336 2546 2547 2562 2561
2028 5 3 21 21 0 2322 2323 2338 2337 2547 2548 2563 2562
2029 5 3 21 21 0 2323 2324 2339 2338 2548 2549 2564 2563
2030 5 3 21 21 0 2324 2325 2340 2339 2549 2550 2565 2564
2031 5 3 28 28 0 2326 2327 2342 2341 2551 2552 2567 2566
2032 5 3 28 28 0 2327 2328 2343 2342 2552 2553 2568 2567
2033 5 3 28 28 0 2328 2329 2344 2343 2553 2554 2569 2568
2034 5 3 28 28 0 2329 2330 2345 2344 2554 2555 2570 2569
2035 5 3 28 28 0 2330 2331 2346 2345 2555 2556 2571 2570
2036 5 3 25 25 0 2331 2332 2347 2346 2556 2557 2572 2571
2037 5 3 25 25 0 2332 2333 2348 2347 2557 2558 2573 2572
2038 5 3 25 25 0 2333 2334 2349 2348 2558 2559 2574 2573
2039 5 3 23 23 0 2334 2335 2350 2349 2559 2560 2575 2574
2040 5 3 23 23 0 2335 2336 2351 2350 2560 2561 2576 2575
2041 5 3 3 3 0 2336 2337 2352 2351 2561 2562 2577 2576
2042 5 3 3 3 0 2337 2338 2353 2352 2562 2563 2578 2577
2043 5 3 21 21 0 2338 2339 2354 2353 2563 2564 2579 2578
2044 5 3 21 21 0 2339 2340 2355 2354 2564 2565 2580 2579
2045 5 3 28 28 0 2341 2342 2357 2356 2566 2567 2582 2581
2046 5 3 28 28 0 2342 2343 2358 2357 2567 2568 2583 2582
2047 5 3 28 28 0 2343 2344 2359 2358 2568 2569 2584 2583
2048 5 3 28 28 0 2344 2345 2360 2359 2569 2570 2585 2584
2049 5 3 28 28 0 2345 2346 2361 2360 2570 2571 2586 2585
2050 5 3 30 30 0 2346 2347 2362 2361 2571 2572 2587 2586
2051 5 3 17 17 0 2347 2348 2363 2362 2572 2573 2588 2587
2052 5 3 23 23 0 2348 2349 2364 2363 2573 2574 2589 2588
2053 5 3 23 23 0 2349 2350 2365 2364 2574 2575 2590 2589
2054 5 3 23 23 0 2350 2351 2366 2365 2575 2576 2591 2590
2055 5 3 3 3 0 2351 2352 2367 2366 2576 2577 2592 2591
2056 5 3 3 3 0 2352 2353 2368 2367 2577 2578 2593 2592
2057 5 3 3 3 0 2353 2354 2369 2368 2578 2579 2594 2593
2058 5 3 22 22 0 2354 2355 2370 2369 2579 2580 2595 2594
2059 5 3 28 28 0 2356 2357 2372 2371 2581 2582 2597 2596
2060 5 3 28 28 0 2357 2358 2373 2372 2582 2583 2598 2597
2061 5 3 28 28 0 2358 2359 2374 2373 2583 2584 2599 2598
2062 5 3 28 28 0 2359 2360 2375 2374 2584 2585 2600 2599
2063 5 3 28 28 0 2360 2361 2376 2375 2585 2586 2601 2600
2064 5 3 17 17 0 2361 2362 2377 2376 2586 2587 2602 2601
2065 5 3 17 17 0 2362 2363 2378 2377 2587 2588 2603 2602
2066 5 3 17 17 0 2363 2364 2379 2378 2588 2589 2604 2603
2067 5 3 17 17 0 2364 2365 2380 2379 2589 2590 2605 2604
2068 5 3 3 3 0 2365 2366 2381 2380 2590 2591 2606 2605
2069 5 3 3 3 0 2366 2367 2382 2381 2591 2592 2607 2606
2070 5 3 3 3 0 2367 2368 2383 2382 2592 2593 2608 2607
2071 5 3 3 3 0 2368 2369 2384 2383 2593 2594 2609 2608
2072 5 3 22 22 0 2369 2370 2385 2384 2594 2595 2610 2609
2073 5 3 29 29 0 2371 2372 2387 2386 2596 2597 2612 2611
2074 5 3 29 29 0 2372 2373 2388 2387 2597 2598 2613 2612
2075 5 3 28 28 0 2373 2374 2389 2388 2598 2599 2614 2613
2076 5 3 28 28 0 2374 2375 2390 2389 2599 2600 2615 2614
2077 5 3 17 17 0 2375 2376 2391 2390 2600 2601 2616 2615
2078 5 3 17 17 0 2376 2377 2392 2391 2601 2602 2617 2616
2079 5 3 17 17 0 2377 2378 2393 2392 2602 2603 2618 2617
2080 5 3 17 17 0 2378 2379 2394 2393 2603 2604 2619 2618
2081 5 3 17 17 0 2379 2380 2395 2394 2604 2605 2620 2619
2082 5 3 17 17 0 2380 2381 2396 2395 2605 2606 2621 2620
2083 5 3 3 3 0 2381 2382 2397 2396 2606 2607 2622 2621
2084 5 3 26 26 0 2382 2383 2398 2397 2607 2608 2623 2622
2085 5 3 26 26 0 2383 2384 2399 2398 2608 2609 2624 2623
2086 5 3 26 26 0 2384 2385 2400 2399 2609 2610 2625 2624
2087 5 3 29 29 0 2386 2387 2402 2401 2611 2612 2627 2626
2088 5 3 27 27 0 2387 2388 2403 2402 2612 2613 2628 2627
2089 5 3 27 27 0 2388 2389 2404 2403 2613 2614 2629 2628
2090 5 3 27 27 0 2389 2390 2405 2404 2614 2615 2630 2629
2091 5 3 17 17 0 2390 2391 2406 2405 2615 2616 2631 2630
2092 5 3 17 17 0 2391 2392 2407 2406 2616 2617 2632 2631
2093 5 3 17 17 0 2392 2393 2408 2407 2617 2618 2633 2632
2094 5 3 17 17 0 2393 2394 2409 2408 2618 2619 2634 2633
2095 5 3 17 17 0 2394 2395 2410 2409 2619 2620 2635 2634
2096 5 3 17 17 0 2395 2396 2411 2410 2620 2621 2636 2635
2097 5 3 26 26 0 2396 2397 2412 2411 2621 2622 2637 2636
2098 5 3 26 26 0 2397 2398 2413 2412 2622 2623 2638 2637
2099 5 3 26 26 0 2398 2399 2414 2413 2623 2624 2639 2638
2100 5 3 26 26 0 2399 2400 2415 2414 2624 2625 2640 2639
2101 5 3 29 29 0 2401 2402 2417 2416 2626 2627 2642 2641
2102 5 3 27 27 0 2402 2403 2418 2417 2627 2628 2643 2642
2103 5 3 27 27 0 2403 2404 2419 2418 2628 2629 2644 2643
2104 5 3 27 27 0 2404 2405 2420 2419 2629 2630 2645 2644
2105 5 3 17 17 0 2405 2406 2421 2420 2630 2631 2646 2645
2106 5 3 17 17 0 2406 2407 2422 2421 2631 2632 2647 2646
2107 5 3 17 17 0 2407 2408 2423 2422 2632 2633 2648 2647
2108 5 3 17 17 0 2408 2409 2424 2423 2633 2634 2649 2648
2109 5 3 17 17 0 2409 2410 2425 2424 2634 2635 2650 2649
2110 5 3 17 17 0 2410 2411 2426 2425 2635 2636 2651 2650
2111 5 3 26 26 0 2411 2412 2427 2426 2636 2637 2652 2651
2112 5 3 26 26 0 2412 2413 2428 2427 2637 2638 2653 2652
2113 5 3 26 26 0 2413 2414 2429 2428 2638 2639 2654 2653
2114 5 3 26 26 0 2414 2415 2430 2429 2639 2640 2655 2654
2115 5 3 27 27 0 2416 2417 2432 2431 2641 2642 2657 2656
2116 5 3 27 27 0 2417 2418 2433 2432 2642 2643 2658 2657
2117 5 3 27 27 0 2418 2419 2434 2433 2643 2644 2659 2658
2118 5 3 27 27 0 2419 2420 2435 2434 2644 2645 2660 2659
2119 5 3 17 17 0 2420 2421 2436 2435 2645 2646 2661 2660
2120 5 3 17 17 0 2421 2422 2437 2436 2646 2647 2662 2661
2121 5 3 17 17 0 2422 2423 2438 2437 2647 2648 2663 2662
2122 5 3 17 17 0 2423 2424 2439 2438 2648 2649 2664 2663
2123 5 3 17 17 0 2424 2425 2440 2439 2649 2650 2665 2664
2124 5 3 17 17 0 2425 2426 2441 2440 2650 2651 2666 2665
2125 5 3 26 26 0 2426 2427 2442 2441 2651 2652 2667 2666
2126 5 3 26 26 0 2427 2428 2443 2442 2652 2653 2668 2667
2127 5 3 26 26 0 2428 2429 2444 2443 2653 2654 2669 2668
2128 5 3 26 26 0 2429 2430 2445 2444 2654 2655 2670 2669
2129 5 3 27 27 0 2431 2432 2447 2446 2656 2657 2672 2671
2130 5 3 27 27 0 2432 2433 2448 2447 2657 2658 2673 2672
2131 5 3 27 27 0 2433 2434 2449 2448 2658 2659 2674 2673
2132 5 3 27 27 0 2434 2435 2450 2449 2659 2660 2675 2674
2133 5 3 17 17 0 2435 2436 2451 2450 2660 2661 2676 2675
2134 5 3 17 17 0 2436 2437 2452 2451 2661 2662 2677 2676
2135 5 3 17 17 0 2437 2438 2453 2452 2662 2663 2678 2677
2136 5 3 17 17 0 2438 2439 2454 2453 2663 2664 2679 2678
2137 5 3 17 17 0 2439 2440 2455 2454 2664 2665 2680 2679
2138 5 3 17 17 0 2440 2441 2456 2455 2665 2666 2681 2680
2139 5 3 26 26 0 2441 2442 2457 2456 2666 2667 2682 2681
2140 5 3 26 26 0 2442 2443 2458 2457 2667 2668 2683 2682
2141 5 3 26 26 0 2443 2444 2459 2458 2668 2669 2684 2683
2142 5 3 26 26 0 2444 2445 2460 2459 2669 2670 2685 2684
2143 5 3 27 27 0 2446 2447 2462 2461 2671 2672 2687 2686
2144 5 3 27 27 0 2447 2448 2463 2462 2672 2673 2688 2687
2145 5 3 27 27 0 2448 2449 2464 2463 2673 2674 2689 2688
2146 5 3 27 27 0 2449 2450 2465 2464 2674 2675 2690 2689
2147 5 3 17 17 0 2450 2451 2466 2465 2675 2676 2691 2690
2148 5 3 17 17 0 2451 2452 2467 2466 2676 2677 2692 2691
2149 5 3 17 17 0 2452 2453 2468 2467 2677 2678 2693 2692
2150 5 3 17 17 0 2453 2454 2469 2468 2678 2679 2694 2693
2151 5 3 17 17 0 2454 2455 2470 2469 2679 2680 2695 2694
2152 5 3 17 17 0 2455 2456 2471 2470 2680 2681 2696 2695
2153 5 3 26 26 0 2456 2457 2472 2471 2681 2682 2697 2696
2154 5 3 26 26 0 2457 2458 2473 2472 2682 2683 2698 2697
2155 5 3 26 26 0 2458 2459 2474 2473 2683 2684 2699 2698
2156 5 3 26 26 0 2459 2460 2475 2474 2684 2685 2700 2699
2157 5 3 7 7 0 2476 2477 2492 2491 2701 2702 2717 2716
2158 5 3 7 7 0 2477 2478 2493 2492 2702 2703 2718 2717
2159 5 3 7 7 0 2478 2479 2494 2493 2703 2704 2719 2718
2160 5 3 7 7 0 2479 2480 2495 2494 2704 2705 2720 2719
2161 5 3 7 7 0 2480 2481 2496 2495 2705 2706 2721 2720
2162 5 3 25 25 0 2481 2482 2497 2496 2706 2707 2722 2721
2163 5 3 25 25 0 2482 2483 2498 2497 2707 2708 2723 2722
2164 5 3 25 25 0 2483 2484 2499 2498 2708 2709 2724 2723
2165 5 3 25 25 0 2484 2485 2500 2499 2709 2710 2725 2724
2166 5 3 21 21 0 2485 2486 2501 2500 2710 2711 2726 2725
2167 5 3 21 21 0 2486 2487 2502 2501 2711 2712 2727 2726
2168 5 3 21 21 0 2487 2488 2503 2502 2712 2713 2728 2727
2169 5 3 21 21 0 2488 2489 2504 2503 2713 2714 2729 2728
2170 5 3 21 21 0 2489 2490 2505 2504 2714 2715 2730 2729
2171 5 3 7 7 0 2491 2492 2507 2506 2716 2717 2732 2731
2172 5 3 7 7 0 2492 2493 2508 2507 2717 2718 2733 2732
2173 5 3 7 7 0 2493 2494 2509 2508 2718 2719 2734 2733
2174 5 3 7 7 0 2494 2495 2510 2509 2719 2720 2735 2734
2175 5 3 7 7 0 2495 2496 2511 2510 2720 2721 2736 2735
2176 5 3 25 25 0 2496 2497 2512 2511 2721 2722 2737 2736
2177 5 3 25 25 0 2497 2498 2513 2512 2722 2723 2738 2737
2178 5 3 25 25 0 2498 2499 2514 2513 2723 2724 2739 2738
2179 5 3 25 25 0 2499 2500 2515 2514 2724 2725 2740 2739
2180 5 3 21 21 0 2500 2501 2516 2515 2725 2726 2741 2740
2181 5 3 21 21 0 2501 2502 2517 2516 2726 2727 2742 2741
2182 5 3 21 21 0 2502 2503 2518 2517 2727 2728 2743 2742
2183 5 3 21 21 0 2503 2504 2519 2518 2728 2729 2744 2743
2184 5 3 21 21 0 2504 2505 2520 2519 2729 2730 2745 2744
2185 5 3 7 7 0 2506 2507 2522 2521 2731 2732 2747 2746
2186 5 3 7 7 0 2507 2508 2523 2522 2732 2733 2748 2747
2187 5 3 7 7 0 2508 2509 2524 2523 2733 2734 2749 2748
2188 5 3 7 7 0 2509 2510 2525 2524 2734 2735 2750 2749
2189 5 3 7 7 0 2510 2511 2526 2525 2735 2736 2751 2750
2190 5 3 25 25 0 2511 2512 2527 2526 2736 2737 2752 2751
2191 5 3 25 25 0 2512 2513 2528 2527 2737 2738 2753 2752
2192 5 3 25 25 0 2513 2514 2529 2528 2738 2739 2754 2753
2193 5 3 25 25 0 2514 2515 2530 2529 2739 2740 2755 2754
2194 5 3 21 21 0 2515 2516 2531 2530 2740 2741 2756 2755
2195 5 3 21 21 0 2516 2517 2532 2531 2741 2742 2757 2756
2196 5 3 21 21 0 2517 2518 2533 2532 2742 2743 2758 2757
2197 5 3 21 21 0 2518 2519 2534 2533 2743 2744 2759 2758
2198 5 3 21 21 0 2519 2520 2535 2534 2744 2745 2760 2759
2199 5 3 7 7 0 2521 2522 2537 2536 2746 2747 2762 2761
2200 5 3 7 7 0 2522 2523 2538 2537 2747 2748 2763 2762
2201 5 3 7 7 0 2523 2524 2539 2538 2748 2749 2764 2763
2202 5 3 7 7 0 2524 2525 2540 2539 2749 2750 2765 2764
2203 5 3 7 7 0 2525 2526 2541 2540 2750 2751 2766 2765
2204 5 3 25 25 0 2526 2527 2542 2541 2751 2752 2767 2766
2205 5 3 25 25 0 2527 2528 2543 2542 2752 2753 2768 2767
2206 5 3 25 25 0 2528 2529 2544 2543 2753 2754 2769 2768
2207 5 3 25 25 0 2529 2530 2545 2544 2754 2755 2770 2769
2208 5 3 25 25 0 2530 2531 2546 2545 2755 2756 2771 2770
2209 5 3 21 21 0 2531 2532 2547 2546 2756 2757 2772 2771
2210 5 3 21 21 0 2532 2533 2548 2547 2757 2758 2773 2772
2211 5 3 21 21 0 2533 2534 2549 2548 2758 2759 2774 2773
2212 5 3 21 21 0 2534 2535 2550 2549 2759 2760 2775 2774
2213 5 3 7 7 0 2536 2537 2552 2551 2761 2762 2777 2776
2214 5 3 7 7 0 2537 2538 2553 2552 2762 2763 2778 2777
2215 5 3 7 7 0 2538 2539 2554 2553 2763 2764 2779 2778
2216 5 3 7 7 0 2539 2540 2555 2554 2764 2765 2780 2779
2217 5 3 7 7 0 2540 2541 2556 2555 2765 2766 2781 2780
2218 5 3 25 25 0 2541 2542 2557 2556 2766 2767 2782 2781
2219 5 3 25 25 0 2542 2543 2558 2557 2767 2768 2783 2782
2220 5 3 25 25 0 2543 2544 2559 2558 2768 2769 2784 2783
2221 5 3 25 25 0 2544 2545 2560 2559 2769 2770 2785 2784
2222 5 3 25 25 0 2545 2546 2561 2560 2770 2771 2786 2785
2223 5 3 21 21 0 2546 2547 2562 2561 2771 2772 2787 2786
2224 5 3 21 21 0 2547 2548 2563 2562 2772 2773 2788 2787
2225 5 3 21 21 0 2548 2549 2564 2563 2773 2774 2789 2788
2226 5 3 21 21 0 2549 2550 2565 2564 2774 2775 2790 2789
2227 5 3 7 7 0 2551 2552 2567 2566 2776 2777 2792 2791
2228 5 3 7 7 0 2552 2553 2568 2567 2777 2778 2793 2792
2229 5 3 7 7 0 2553 2554 2569 2568 2778 2779 2794 2793
2230 5 3 28 28 0 2554 2555 2570 2569 2779 2780 2795 2794
2231 5 3 28 28 0 2555 2556 2571 2570 2780 2781 2796 2795
2232 5 3 25 25 0 2556 2557 2572 2571 2781 2782 2797 2796
2233 5 3 25 25 0 2557 2558 2573 2572 2782 2783 2798 2797
2234 5 3 25 25 0 2558 2559 2574 2573 2783 2784 2799 2798
2235 5 3 25 25 0 2559 2560 2575 2574 2784 2785 2800 2799
2236 5 3 3 3 0 2560 2561 2576 2575 2785 2786 2801 2800
2237 5 3 3 3 0 2561 2562 2577 2576 2786 2787 2802 2801
2238 5 3 3 3 0 2562 2563 2578 2577 2787 2788 2803 2802
2239 5 3 3 3 0 2563 2564 2579 2578 2788 2789 2804 2803
2240 5 3 3 3 0 2564 2565 2580 2579 2789 2790 2805 2804
2241 5 3 28 28 0 2566 2567 2582 2581 2791 2792 2807 2806
2242 5 3 28 28 0 2567 2568 2583 2582 2792 2793 2808 2807
2243 5 3 28 28 0 2568 2569 2584 2583 2793 2794 2809 2808
2244 5 3 28 28 0 2569 2570 2585 2584 2794 2795 2810 2809
2245 5 3 28 28 0 2570 2571 2586 2585 2795 2796 2811 2810
2246 5 3 17 17 0 2571 2572 2587 2586 2796 2797 2812 2811
2247 5 3 17 17 0 2572 2573 2588 2587 2797 2798 2813 2812
2248 5 3 17 17 0 2573 2574 2589 2588 2798 2799 2814 2813
2249 5 3 25 25 0 2574 2575 2590 2589 2799 2800 2815 2814
2250 5 3 3 3 0 2575 2576 2591 2590 2800 2801 2816 2815
2251 5 3 3 3 0 2576 2577 2592 2591 2801 2802 2817 2816
2252 5 3 3 3 0 2577 2578 2593 2592 2802 2803 2818 2817
2253 5 3 3 3 0 2578 2579 2594 2593 2803 2804 2819 2818
2254 5 3 3 3 0 2579 2580 2595 2594 2804 2805 2820 2819
2255 5 3 29 29 0 2581 2582 2597 2596 2806 2807 2822 2821
2256 5 3 29 29 0 2582 2583 2598 2597 2807 2808 2823 2822
2257 5 3 28 28 0 2583 2584 2599 2598 2808 2809 2824 2823
2258 5 3 28 28 0 2584 2585 2600 2599 2809 2810 2825 2824
2259 5 3 17 17 0 2585 2586 2601 2600 2810 2811 2826 2825
2260 5 3 17 17 0 2586 2587 2602 2601 2811 2812 2827 2826
2261 5 3 17 17 0 2587 2588 2603 2602 2812 2813 2828 2827
2262 5 3 17 17 0 2588 2589 2604 2603 2813 2814 2829 2828
2263 5 3 17 17 0 2589 2590 2605 2604 2814 2815 2830 2829
2264 5 3 3 3 0 2590 2591 2606 2605 2815 2816 2831 2830
2265 5 3 3 3 0 2591 2592 2607 2606 2816 2817 2832 2831
2266 5 3 3 3 0 2592 2593 2608 2607 2817 2818 2833 2832
2267 5 3 3 3 0 2593 2594 2609 2608 2818 2819 2834 2833
2268 5 3 3 3 0 2594 2595 2610 2609 2819 2820 2835 2834
2269 5 3 29 29 0 2596 2597 2612 2611 2821 2822 2837 2836
2270 5 3 29 29 0 2597 2598 2613 2612 2822 2823 2838 2837
2271 5 3 29 29 0 2598 2599 2614 2613 2823 2824 2839 2838
2272 5 3 17 17 0 2599 2600 2615 2614 2824 2825 2840 2839
2273 5 3 17 17 0 2600 2601 2616 2615 2825 2826 2841 2840
2274 5 3 17 17 0 2601 2602 2617 2616 2826 2827 2842 2841
2275 5 3 17 17 0 2602 2603 2618 2617 2827 2828 2843 2842
2276 5 3 17 17 0 2603 2604 2619 2618 2828 2829 2844 2843
2277 5 3 17 17 0 2604 2605 2620 2619 2829 2830 2845 2844
2278 5 3 17 17 0 2605 2606 2621 2620 2830 2831 2846 2845
2279 5 3 3 3 0 2606 2607 2622 2621 2831 2832 2847 2846
2280 5 3 3 3 0 2607 2608 2623 2622 2832 2833 2848 2847
2281 5 3 26 26 0 2608 2609 2624 2623 2833 2834 2849 2848
2282 5 3 26 26 0 2609 2610 2625 2624 2834 2835 2850 2849
2283 5 3 29 29 0 2611 2612 2627 2626 2836 2837 2852 2851
2284 5 3 29 29 0 2612 2613 2628 2627 2837 2838 2853 2852
2285 5 3 29 29 0 2613 2614 2629 2628 2838 2839 2854 2853
2286 5 3 29 29 0 2614 2615 2630 2629 2839 2840 2855 2854
2287 5 3 17 17 0 2615 2616 2631 2630 2840 2841 2856 2855
2288 5 3 17 17 0 2616 2617 2632 2631 2841 2842 2857 2856
2289 5 3 17 17 0 2617 2618 2633 2632 2842 2843 2858 2857
2290 5 3 17 17 0 2618 2619 2634 2633 2843 2844 2859 2858
2291 5 3 17 17 0 2619 2620 2635 2634 2844 2845 2860 2859
2292 5 3 17 17 0 2620 2621 2636 2635 2845 2846 2861 2860
2293 5 3 26 26 0 2621 2622 2637 2636 2846 2847 2862 2861
2294 5 3 26 26 0 2622 2623 2638 2637 2847 2848 2863 2862
2295 5 3 26 26 0 2623 2624 2639 2638 2848 2849 2864 2863
2296 5 3 26 26 0 2624 2625 2640 2639 2849 2850 2865 2864
2297 5 3 29 29 0 2626 2627 2642 2641 2851 2852 2867 2866
2298 5 3 29 29 0 2627 2628 2643 2642 2852 2853 2868 2867
2299 5 3 29 29 0 2628 2629 2644 2643 2853 2854 2869 2868
2300 5 3 29 29 0 2629 2630 2645 2644 2854 2855 2870 2869
2301 5 3 17 17 0 2630 2631 2646 2645 2855 2856 2871 2870
2302 5 3 17 17 0 2631 2632 2647 2646 2856 2857 2872 2871
2303 5 3 17 17 0 2632 2633 2648 2647 2857 2858 2873 2872
2304 5 3 17 17 0 2633 2634 2649 2648 2858 2859 2874 2873
2305 5 3 17 17 0 2634 2635 2650 2649 2859 2860 2875 2874
2306 5 3 17 17 0 2635 2636 2651 2650 2860 2861 2876 2875
2307 5 3 26 26 0 2636 2637 2652 2651 2861 2862 2877 2876
2308 5 3 26 26 0 2637 2638 2653 2652 2862 2863 2878 2877
2309 5 3 26 26 0 2638 2639 2654 2653 2863 2864 2879 2878
2310 5 3 26 26 0 2639 2640 2655 2654 2864 2865 2880 2879
2311 5 3 29 29 0 2641 2642 2657 2656 2866 2867 2882 2881
2312 5 3 29 29 0 2642 2643 2658 2657 2867 2868 2883 2882
2313 5 3 29 29 0 2643 2644 2659 2658 2868 2869 2884 2883
2314 5 3 29 29 0 2644 2645 2660 2659 2869 2870 2885 2884
2315 5 3 17 17 0 2645 2646 2661 2660 2870 2871 2886 2885
2316 5 3 17 17 0 2646 2647 2662 2661 2871 2872 2887 2886
2317 5 3 17 17 0 2647 2648 2663 2662 2872 2873 2888 2887
2318 5 3 17 17 0 2648 2649 2664 2663 2873 2874 2889 2888
2319 5 3 17 17 0 2649 2650 2665 2664 2874 2875 2890 2889
2320 5 3 17 17 0 2650 2651 2666 2665 2875 2876 2891 2890
2321 5 3 26 26 0 2651 2652 2667 2666 2876 2877 2892 2891
2322 5 3 26 26 0 2652 2653 2668 2667 2877 2878 2893 2892
2323 5 3 26 26 0 2653 2654 2669 2668 2878 2879 2894 2893
2324 5 3 26 26 0 2654 2655 2670 2669 2879 2880 2895 2894
2325 5 3 29 29 0 2656 2657 2672 2671 2881 2882 2897 2896
2326 5 3 29 29 0 2657 2658 2673 2672 2882 2883 2898 2897
2327 5 3 29 29 0 2658 2659 2674 2673 2883 2884 2899 2898
2328 5 3 29 29 0 2659 2660 2675 2674 2884 2885 2900 2899
2329 5 3 17 17 0 2660 2661 2676 2675 2885 2886 2901 2900
2330 5 3 17 17 0 2661 2662 2677 2676 2886 2887 2902 2901
2331 5 3 17 17 0 2662 2663 2678 2677 2887 2888 2903 2902
2332 5 3 17 17 0 2663 2664 2679 2678 2888 2889 2904 2903
2333 5 3 17 17 0 2664 2665 2680 2679 2889 2890 2905 2904
2334 5 3 17 17 0 2665 2666 2681 2680 2890 2891 2906 2905
2335 5 3 26 26 0 2666 2667 2682 2681 2891 2892 2907 2906
2336 5 3 26 26 0 2667 2668 2683 2682 2892 2893 2908 2907
2337 5 3 26 26 0 2668 2669 2684 2683 2893 2894 2909 2908
2338 5 3 26 26 0 2669 2670 2685 2684 2894 2895 2910 2909
2339 5 3 29 29 0 2671 2672 2687 2686 2896 2897 2912 2911
2340 5 3 29 29 0 2672 2673 2688 2687 2897 2898 2913 2912
2341 5 3 29 29 0 2673 2674 2689 2688 2898 2899 2914 2913
2342 5 3 29 29 0 2674 2675 2690 2689 2899 2900 2915 2914
2343 5 3 17 17 0 2675 2676 2691 2690 2900 2901 2916 2915
2344 5 3 17 17 0 2676 2677 2692 2691 2901 2902 2917 2916
2345 5 3 17 17 0 2677 2678 2693 2692 2902 2903 2918 2917
2346 5 3 17 17 0 2678 2679 2694 2693 2903 2904 2919 2918
2347 5 3 17 17 0 2679 2680 2695 2694 2904 2905 2920 2919
2348 5 3 17 17 0 2680 2681 2696 2695 2905 2906 2921 2920
2349 5 3 26 26 0 2681 2682 2697 2696 2906 2907 2922 2921
2350 5 3 26 26 0 2682 2683 2698 2697 2907 2908 2923 2922
2351 5 3 26 26 0 2683 2684 2699 2698 2908 2909 2924 2923
2352 5 3 26 26 0 2684 2685 2700 2699 2909 2910 2925 2924
2353 5 3 7 7 0 2701 2702 2717 2716 2926 2927 2942 2941
2354 5 3 7 7 0 2702 2703 2718 2717 2927 2928 2943 2942
2355 5 3 7 7 0 2703 2704 2719 2718 2928 2929 2944 2943
2356 5 3 7 7 0 2704 2705 2720 2719 2929 2930 2945 2944
2357 5 3 7 7 0 2705 2706 2721 2720 2930 2931 2946 2945
2358 5 3 25 25 0 2706 2707 2722 2721 2931 2932 2947 2946
2359 5 3 25 25 0 2707 2708 2723 2722 2932 2933 2948 2947
2360 5 3 25 25 0 2708 2709 2724 2723 2933 2934 2949 2948
2361 5 3 25 25 0 2709 2710 2725 2724 2934 2935 2950 2949
2362 5 3 21 21 0 2710 2711 2726 2725 2935 2936 2951 2950
2363 5 3 21 21 0 2711 2712 2727 2726 2936 2937 2952 2951
2364 5 3 21 21 0 2712 2713 2728 2727 2937 2938 2953 2952
2365 5 3 21 21 0 2713 2714 2729 2728 2938 2939 2954 2953
2366 5 3 21 21 0 2714 2715 2730 2729 2939 2940 2955 2954
2367 5 3 7 7 0 2716 2717 2732 2731 2941 2942 2957 2956
2368 5 3 7 7 0 2717 2718 2733 2732 2942 2943 2958 2957
2369 5 3 7 7 0 2718 2719 2734 2733 2943 2944 2959 2958
2370 5 3 7 7 0 2719 2720 2735 2734 2944 2945 2960 2959
2371 5 3 7 7 0 2720 2721 2736 2735 2945 2946 2961 2960
2372 5 3 25 25 0 2721 2722 2737 2736 2946 2947 2962 2961
2373 5 3 25 25 0 2722 2723 2738 2737 2947 2948 2963 2962
2374 5 3 25 25 0 2723 2724 2739 2738 2948 2949 2964 2963
2375 5 3 25 25 0 2724 2725 2740 2739 2949 2950 2965 2964
2376 5 3 21 21 0 2725 2726 2741 2740 2950 2951 2966 2965
2377 5 3 21 21 0 2726 2727 2742 2741 2951 2952 2967 2966
2378 5 3 21 21 0 2727 2728 2743 2742 2952 2953 2968 2967
2379 5 3 21 21 0 2728 2729 2744 2743 2953 2954 2969 2968
2380 5 3 21 21 0 2729 2730 2745 2744 2954 2955 2970 2969
2381 5 3 7 7 0 2731 2732 2747 2746 2956 2957 2972 2971
2382 5 3 7 7 0 2732 2733 2748 2747 2957 2958 2973 2972
2383 5 3 7 7 0 2733 2734 2749 2748 2958 2959 2974 2973
2384 5 3 7 7 0 2734 2735 2750 2749 2959 2960 2975 2974
2385 5 3 7 7 0 2735 2736 2751 2750 2960 2961 2976 2975
2386 5 3 25 25 0 2736 2737 2752 2751 2961 2962 2977 2976
2387 5 3 25 25 0 2737 2738 2753 2752 2962 2963 2978 2977
2388 5 3 25 25 0 2738 2739 2754 2753 2963 2964 2979 2978
2389 5 3 25 25 0 2739 2740 2755 2754 2964 2965 2980 2979
2390 5 3 25 25 0 2740 2741 2756 2755 2965 2966 2981 2980
2391 5 3 21 21 0 2741 2742 2757 2756 2966 2967 2982 2981
2392 5 3 21 21 0 2742 2743 2758 2757 2967 2968 2983 2982
2393 5 3 21 21 0 2743 2744 2759 2758 2968 2969 2984 2983
2394 5 3 21 21 0 2744 2745 2760 2759 2969 2970 2985 2984
2395 5 3 7 7 0 2746 2747 2762 2761 2971 2972 2987 2986
2396 5 3 7 7 0 2747 2748 2763 2762 2972 2973 2988 2987
2397 5 3 7 7 0 2748 2749 2764 2763 2973 2974 2989 2988
2398 5 3 7 7 0 2749 2750 2765 2764 2974 2975 2990 2989
2399 5 3 7 7 0 2750 2751 2766 2765 2975 2976 2991 2990
2400 5 3 25 25 0 2751 2752 2767 2766 2976 2977 2992 2991
2401 5 3 25 25 0 2752 2753 2768 2767 2977 2978 2993 2992
2402 5 3 25 25 0 2753 2754 2769 2768 2978 2979 2994 2993
2403 5 3 25 25 0 2754 2755 2770 2769 2979 2980 2995 2994
2404 5 3 25 25 0 2755 2756 2771 2770 2980 2981 2996 2995
2405 5 3 21 21 0 2756 2757 2772 2771 2981 2982 2997 2996
2406 5 3 21 21 0 2757 2758 2773 2772 2982 2983 2998 2997
2407 5 3 21 21 0 2758 2759 2774 2773 2983 2984 2999 2998
2408 5 3 21 21 0 2759 2760 2775 2774 2984 2985 3000 2999
2409 5 3 7 7 0 2761 2762 2777 2776 2986 2987 3002 3001
2410 5 3 7 7 0 2762 2763 2778 2777 2987 2988 3003 3002
2411 5 3 7 7 0 2763 2764 2779 2778 2988 2989 3004 3003
2412 5 3 7 7 0 2764 2765 2780 2779 2989 2990 3005 3004
2413 5 3 7 7 0 2765 2766 2781 2780 2990 2991 3006 3005
2414 5 3 25 25 0 2766 2767 2782 2781 2991 2992 3007 3006
2415 5 3 25 25 0 2767 2768 2783 2782 2992 2993 3008 3007
2416 5 3 25 25 0 2768 2769 2784 2783 2993 2994 3009 3008
2417 5 3 25 25 0 2769 2770 2785 2784 2994 2995 3010 3009
2418 5 3 25 25 0 2770 2771 2786 2785 2995 2996 3011 3010
2419 5 3 21 21 0 2771 2772 2787 2786 2996 2997 3012 3011
2420 5 3 21 21 0 2772 2773 2788 2787 2997 2998 3013 3012
2421 5 3 21 21 0 2773 2774 2789 2788 2998 2999 3014 3013
2422 5 3 21 21 0 2774 2775 2790 2789 2999 3000 3015 3014
2423 5 3 7 7 0 2776 2777 2792 2791 3001 3002 3017 3016
2424 5 3 7 7 0 2777 2778 2793 2792 3002 3003 3018 3017
2425 5 3 7 7 0 2778 2779 2794 2793 3003 3004 3019 3018
2426 5 3 7 7 0 2779 2780 2795 2794 3004 3005 3020 3019
2427 5 3 7 7 0 2780 2781 2796 2795 3005 3006 3021 3020
2428 5 3 25 25 0 2781 2782 2797 2796 3006 3007 3022 3021
2429 5 3 25 25 0 2782 2783 2798 2797 3007 3008 3023 3022
2430 5 3 25 25 0 2783 2784 2799 2798 3008 3009 3024 3023
2431 5 3 25 25 0 2784 2785 2800 2799 3009 3010 3025 3024
2432 5 3 3 3 0 2785 2786 2801 2800 3010 3011 3026 3025
2433 5 3 3 3 0 2786 2787 2802 2801 3011 3012 3027 3026
2434 5 3 3 3 0 2787 2788 2803 2802 3012 3013 3028 3027
2435 5 3 3 3 0 2788 2789 2804 2803 3013 3014 3029 3028
2436 5 3 3 3 0 2789 2790 2805 2804 3014 3015 3030 3029
2437 5 3 7 7 0 2791 2792 2807 2806 3016 3017 3032 3031
2438 5 3 7 7 0 2792 2793 2808 2807 3017 3018 3033 3032
2439 5 3 28 28 0 2793 2794 2809 2808 3018 3019 3034 3033
2440 5 3 28 28 0 2794 2795 2810 2809 3019 3020 3035 3034
2441 5 3 17 17 0 2795 2796 2811 2810 3020 3021 3036 3035
2442 5 3 17 17 0 2796 2797 2812 2811 3021 3022 3037 3036
2443 5 3 17 17 0 2797 2798 2813 2812 3022 3023 3038 3037
2444 5 3 17 17 0 2798 2799 2814 2813 3023 3024 3039 3038
2445 5 3 25 25 0 2799 2800 2815 2814 3024 3025 3040 3039
2446 5 3 3 3 0 2800 2801 2816 2815 3025 3026 3041 3040
2447 5 3 3 3 0 2801 2802 2817 2816 3026 3027 3042 3041
2448 5 3 3 3 0 2802 2803 2818 2817 3027 3028 3043 3042
2449 5 3 3 3 0 2803 2804 2819 2818 3028 3029 3044 3043
2450 5 3 3 3 0 2804 2805 2820 2819 3029 3030 3045 3044
2451 5 3 29 29 0 2806 2807 2822 2821 3031 3032 3047 3046
2452 5 3 29 29 0 2807 2808 2823 2822 3032 3033 3048 3047
2453 5 3 29 29 0 2808 2809 2824 2823 3033 3034 3049 3048
2454 5 3 29 29 0 2809 2810 2825 2824 3034 3035 3050 3049
2455 5 3 17 17 0 2810 2811 2826 2825 3035 3036 3051 3050
2456 5 3 17 17 0 2811 2812 2827 2826 3036 3037 3052 3051
2457 5 3 17 17 0 2812 2813 2828 2827 3037 3038 3053 3052
2458 5 3 17 17 0 2813 2814 2829 2828 3038 3039 3054 3053
2459 5 3 17 17 0 2814 2815 2830 2829 3039 3040 3055 3054
2460 5 3 3 3 0 2815 2816 2831 2830 3040 3041 3056 3055
2461 5 3 3 3 0 2816 2817 2832 2831 3041 3042 3057 3056
2462 5 3 3 3 0 2817 2818 2833 2832 3042 3043 3058 3057
2463 5 3 3 3 0 2818 2819 2834 2833 3043 3044 3059 3058
2464 5 3 3 3 0 2819 2820 2835 2834 3044 3045 3060 3059
2465 5 3 29 29 0 2821 2822 2837 2836 3046 3047 3062 3061
2466 5 3 29 29 0 2822 2823 2838 2837 3047 3048 3063 3062
2467 5 3 29 29 0 2823 2824 2839 2838 3048 3049 3064 3063
2468 5 3 29 29 0 2824 2825 2840 2839 3049 3050 3065 3064
2469 5 3 17 17 0 2825 2826 2841 2840 3050 3051 3066 3065
2470 5 3 17 17 0 2826 2827 2842 2841 3051 3052 3067 3066
2471 5 3 17 17 0 2827 2828 2843 2842 3052 3053 3068 3067
2472 5 3 17 17 0 2828 2829 2844 2843 3053 3054 3069 3068
2473 5 3 17 17 0 2829 2830 2845 2844 3054 3055 3070 3069
2474 5 3 17 17 0 2830 2831 2846 2845 3055 3056 3071 3070
2475 5 3 3 3 0 2831 2832 2847 2846 3056 3057 3072 3071
2476 5 3 3 3 0 2832 2833 2848 2847 3057 3058 3073 3072
2477 5 3 3 3 0 2833 2834 2849 2848 3058 3059 3074 3073
2478 5 3 26 26 0 2834 2835 2850 2849 3059 3060 3075 3074
2479 5 3 29 29 0 2836 2837 2852 2851 3061 3062 3077 3076
2480 5 3 29 29 0 2837 2838 2853 2852 3062 3063 3078 3077
2481 5 3 29 29 0 2838 2839 2854 2853 3063 3064 3079 3078
2482 5 3 29 29 0 2839 2840 2855 2854 3064 3065 3080 3079
2483 5 3 17 17 0 2840 2841 2856 2855 3065 3066 3081 3080
2484 5 3 17 17 0 2841 2842 2857 2856 3066 3067 3082 3081
2485 5 3 17 17 0 2842 2843 2858 2857 3067 3068 3083 3082
2486 5 3 17 17 0 2843 2844 2859 2858 3068 3069 3084 3083
2487 5 3 17 17 0 2844 2845 2860 2859 3069 3070 3085 3084
2488 5 3 17 17 0 2845 2846 2861 2860 3070 3071 3086 3085
2489 5 3 26 26 0 2846 2847 2862 2861 3071 3072 3087 3086
2490 5 3 26 26 0 2847 2848 2863 2862 3072 3073 3088 3087
2491 5 3 26 26 0 2848 2849 2864 2863 3073 3074 3089 3088
2492 5 3 26 26 0 2849 2850 2865 2864 3074 3075 3090 3089
2493 5 3 29 29 0 2851 2852 2867 2866 3076 3077 3092 3091
2494 5 3 29 29 0 2852 2853 2868 2867 3077 3078 3093 3092
2495 5 3 29 29 0 2853 2854 2869 2868 3078 3079 3094 3093
2496 5 3 29 29 0 2854 2855 2870 2869 3079 3080 3095 3094
2497 5 3 17 17 0 2855 2856 2871 2870 3080 3081 3096 3095
2498 5 3 17 17 0 2856 2857 2872 2871 3081 3082 3097 3096
2499 5 3 17 17 0 2857 2858 2873 2872 3082 3083 3098 3097
2500 5 3 17 17 0 2858 2859 2874 2873 3083 3084 3099 3098
2501 5 3 17 17 0 2859 2860 2875 2874 3084 3085 3100 3099
2502 5 3 17 17 0 2860 2861 2876 2875 3085 3086 3101 3100
2503 5 3 26 26 0 2861 2862 2877 2876 3086 3087 3102 3101
2504 5 3 26 26 0 2862 2863 2878 2877 3087 3088 3103 3102
2505 5 3 26 26 0 2863 2864 2879 2878 3088 3089 3104 3103
2506 5 3 26 26 0 2864 2865 2880 2879 3089 3090 3105 3104
2507 5 3 29 29 0 2866 2867 2882 2881 3091 3092 3107 3106
2508 5 3 29 29 0 2867 2868 2883 2882 3092 3093 3108 3107
2509 5 3 29 29 0 2868 2869 2884 2883 3093 3094 3109 3108
2510 5 3 29 29 0 2869 2870 2885 2884 3094 3095 3110 3109
2511 5 3 17 17 0 2870 2871 2886 2885 3095 3096 3111 3110
2512 5 3 17 17 0 2871 2872 2887 2886 3096 3097 3112 3111
2513 5 3 17 17 0 2872 2873 2888 2887 3097 3098 3113 3112
2514 5 3 17 17 0 2873 2874 2889 2888 3098 3099 3114 3113
2515 5 3 17 17 0 2874 2875 2890 2889 3099 3100 3115 3114
2516 5 3 17 17 0 2875 2876 2891 2890 3100 3101 3116 3115
2517 5 3 26 26 0 2876 2877 2892 2891 3101 3102 3117 3116
2518 5 3 26 26 0 2877 2878 2893 2892 3102 3103 3118 3117
2519 5 3 26 26 0 2878 2879 2894 2893 3103 3104 3119 3118
2520 5 3 26 26 0 2879 2880 2895 2894 3104 3105 3120 3119
2521 5 3 29 29 0 2881 2882 2897 2896 3106 3107 3122 3121
2522 5 3 29 29 0 2882 2883 2898 2897 3107 3108 3123 3122
2523 5 3 29 29 0 2883 2884 2899 2898 3108 3109 3124 3123
2524 5 3 29 29 0 2884 2885 2900 2899 3109 3110 3125 3124
2525 5 3 17 17 0 2885 2886 2901 2900 3110 3111 3126 3125
2526 5 3 17 17 0 2886 2887 2902 2901 3111 3112 3127 3126
2527 5 3 17 17 0 2887 2888 2903 2902 3112 3113 3128 3127
2528 5 3 17 17 0 2888 2889 2904 2903 3113 3114 3129 3128
2529 5 3 17 17 0 2889 2890 2905 2904 3114 3115 3130 3129
2530 5 3 17 17 0 2890 2891 2906 2905 3115 3116 3131 3130
2531 5 3 26 26 0 2891 2892 2907 2906 3116 3117 3132 3131
2532 5 3 26 26 0 2892 2893 2908 2907 3117 3118 3133 3132
2533 5 3 26 26 0 2893 2894 2909 2908 3118 3119 3134 3133
2534 5 3 26 26 0 2894 2895 2910 2909 3119 3120 3135 3134
2535 5 3 29 29 0 2896 2897 2912 2911 3121 3122 3137 3136
2536 5 3 29 29 0 2897 2898 2913 2912 3122 3123 3138 3137
2537 5 3 29 29 0 2898 2899 2914 2913 3123 3124 3139 3138
2538 5 3 29 29 0 2899 2900 2915 2914 3124 3125 3140 3139
2539 5 3 17 17 0 2900 2901 2916 2915 3125 3126 3141 3140
2540 5 3 17 17 0 2901 2902 2917 2916 3126 3127 3142 3141
2541 5 3 17 17 0 2902 2903 2918 2917 3127 3128 3143 3142
2542 5 3 17 17 0 2903 2904 2919 2918 3128 3129 3144 3143
2543 5 3 17 17 0 2904 2905 2920 2919 3129 3130 3145 3144
2544 5 3 17 17 0 2905 2906 2921 2920 3130 3131 3146 3145
2545 5 3 26 26 0 2906 2907 2922 2921 3131 3132 3147 3146
2546 5 3 26 26 0 2907 2908 2923 2922 3132 3133 3148 3147
2547 5 3 26 26 0 2908 2909 2924 2923 3133 3134 3149 3148
2548 5 3 26 26 0 2909 2910 2925 2924 3134 3135 3150 3149
2549 5 3 7 7 0 2926 2927 2942 2941 3151 3152 3167 3166
2550 5 3 7 7 0 2927 2928 2943 2942 3152 3153 3168 3167
2551 5 3 7 7 0 2928 2929 2944 2943 3153 3154 3169 3168
2552 5 3 7 7 0 2929 2930 2945 2944 3154 3155 3170 3169
2553 5 3 7 7 0 2930 2931 2946 2945 3155 3156 3171 3170
2554 5 3 25 25 0 2931 2932 2947 2946 3156 3157 3172 3171
2555 5 3 25 25 0 2932 2933 2948 2947 3157 3158 3173 3172
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FILE: Neper2Abaqus/Step-2a Matlab/abq_tet.inp
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786, 1.470553e-01, 7.083043e-01, 7.614788e-01
787, 9.017868e-02, 9.054197e-01, 7.690756e-01
788, 0.000000e+00, 4.636118e-01, 7.062484e-01
789, 3.153200e-01, 4.864523e-01, 6.596856e-01
790, 8.287885e-02, 5.253858e-01, 8.240000e-01
791, 1.608893e-01, 5.516252e-01, 8.222148e-01
792, 0.000000e+00, 5.389533e-01, 9.024085e-01
793, 0.000000e+00, 6.411467e-01, 8.623852e-01
794, 0.000000e+00, 9.194500e-01, 8.782130e-01
795, 0.000000e+00, 7.903032e-01, 8.733115e-01
796, 1.304959e-01, 1.000000e+00, 8.944730e-01
797, 1.364547e-01, 5.463232e-01, 1.000000e+00
798, 1.391286e-01, 9.214373e-01, 1.000000e+00
799, 1.382277e-01, 7.944220e-01, 1.000000e+00
800, 1.356411e-01, 6.701214e-01, 1.000000e+00
801, 2.705965e-01, 8.073912e-01, 3.094488e-01
802, 1.072154e-01, 6.440102e-01, 1.460678e-01
803, 2.161362e-01, 6.440102e-01, 1.460678e-01
804, 1.072154e-01, 7.529309e-01, 1.460678e-01
805, 1.072154e-01, 8.618516e-01, 1.460678e-01
806, 1.072154e-01, 5.350895e-01, 1.460678e-01
807, 2.161362e-01, 8.618516e-01, 3.639092e-01
808, 3.250569e-01, 8.618516e-01, 3.639092e-01
809, 3.250569e-01, 7.529309e-01, 3.639092e-01
810, 3.250569e-01, 8.618516e-01, 2.549885e-01
811, 4.339775e-01, 8.618516e-01, 1.460678e-01
812, 2.161362e-01, 8.618516e-01, 2.549885e-01
813, 4.339775e-01, 8.618516e-01, 2.549885e-01
814, 3.250569e-01, 7.529309e-01, 2.549885e-01
815, 3.250569e-01, 8.618516e-01, 1.460678e-01
816, 2.161362e-01, 7.529309e-01, 3.639092e-01
817, 4.339775e-01, 7.529309e-01, 2.549885e-01
818, 4.339775e-01, 7.529309e-01, 1.460678e-01
819, 2.161362e-01, 7.529309e-01, 1.460678e-01
820, 2.161362e-01, 5.350895e-01, 2.549885e-01
821, 2.161362e-01, 6.440102e-01, 3.639092e-01
822, 3.250569e-01, 6.440102e-01, 3.639092e-01
823, 2.161362e-01, 6.440102e-01, 2.549885e-01
824, 3.828751e-01, 5.965468e-01, 2.206115e-01
825, 1.072154e-01, 5.350895e-01, 2.549885e-01
826, 1.321620e-01, 3.119628e-01, 4.946992e-01
827, 1.321620e-01, 1.320891e-01, 5.846360e-01
828, 1.321620e-01, 1.320891e-01, 4.946992e-01
829, 9.420615e-01, 5.205292e-01, 8.518906e-01
830, 1.106334e-01, 1.199487e-01, 8.407761e-01
831, 1.106334e-01, 1.199487e-01, 9.224467e-01
832, 5.682576e-01, 1.307034e-01, 5.400789e-01
833, 8.882494e-01, 8.809592e-01, 1.940076e-01
834, 8.030806e-01, 8.809592e-01, 1.940076e-01
835, 8.030806e-01, 7.957904e-01, 1.088388e-01
836, 8.882494e-01, 7.957904e-01, 1.088388e-01
837, 8.030806e-01, 8.809592e-01, 1.088388e-01
838, 7.179118e-01, 8.809592e-01, 1.088388e-01
839, 8.882494e-01, 7.106216e-01, 1.088388e-01
840, 8.882494e-01, 8.809592e-01, 2.791764e-01
841, 5.049063e-01, 8.666278e-01, 8.012413e-01
842, 6.003286e-01, 8.666278e-01, 8.012413e-01
843, 4.094839e-01, 5.803607e-01, 8.966637e-01
844, 6.003286e-01, 8.666278e-01, 8.966637e-01
845, 4.094839e-01, 7.712054e-01, 8.966637e-01
846, 4.094839e-01, 8.666278e-01, 8.966637e-01
847, 6.003286e-01, 7.712054e-01, 8.966637e-01
848, 5.049063e-01, 7.712054e-01, 8.966637e-01
849, 8.415490e-01, 1.138090e-01, 5.210622e-01
850, 9.190392e-01, 2.687895e-01, 5.210622e-01
851, 1.073007e-01, 8.423859e-02, 1.250281e-01
852, 2.163081e-01, 8.423859e-02, 1.250281e-01
853, 2.163081e-01, 8.423859e-02, 2.340354e-01
854, 1.073007e-01, 1.932459e-01, 1.250281e-01
855, 1.073007e-01, 3.022533e-01, 1.250281e-01
856, 4.343228e-01, 8.423859e-02, 1.250281e-01
857, 4.343228e-01, 8.423859e-02, 2.340354e-01
858, 3.253154e-01, 8.423859e-02, 2.340354e-01
859, 2.163081e-01, 3.022533e-01, 1.250281e-01
860, 3.253154e-01, 1.932459e-01, 1.250281e-01
861, 2.163081e-01, 1.932459e-01, 1.250281e-01
862, 2.163081e-01, 1.932459e-01, 2.340354e-01
863, 3.253154e-01, 3.022533e-01, 1.250281e-01
864, 3.253154e-01, 1.932459e-01, 2.340354e-01
865, 2.163081e-01, 3.022533e-01, 2.340354e-01
866, 8.867307e-01, 3.127577e-01, 1.267631e-01
867, 8.867307e-01, 1.324257e-01, 2.169291e-01
868, 7.965648e-01, 1.324257e-01, 2.169291e-01
869, 7.063988e-01, 1.324257e-01, 1.267631e-01
870, 7.063988e-01, 1.324257e-01, 2.169291e-01
871, 7.063988e-01, 2.225917e-01, 2.169291e-01
872, 7.965648e-01, 1.324257e-01, 3.070951e-01
873, 8.867307e-01, 1.324257e-01, 1.267631e-01
874, 7.965648e-01, 1.324257e-01, 1.267631e-01
875, 7.063988e-01, 2.225917e-01, 1.267631e-01
876, 8.867307e-01, 2.225917e-01, 1.267631e-01
877, 7.965648e-01, 3.127577e-01, 1.267631e-01
878, 7.965648e-01, 2.225917e-01, 1.267631e-01
879, 7.965648e-01, 3.127577e-01, 3.070951e-01
880, 7.965648e-01, 2.225917e-01, 3.070951e-01
881, 8.867307e-01, 3.127577e-01, 3.070951e-01
882, 4.459264e-01, 3.563909e-01, 9.157230e-01
883, 1.443447e-01, 7.796935e-01, 8.660116e-01
*Element, type=C3D4
2607, 3, 158, 375, 406
2608, 422, 404, 365, 16
2609, 368, 805, 804, 150
2610, 807, 812, 370, 381
2611, 427, 426, 396, 167
2612, 813, 810, 815, 814
2613, 372, 366, 153, 806
2614, 180, 416, 825, 820
2615, 816, 821, 401, 402
2616, 810, 812, 374, 815
2617, 393, 368, 804, 150
2618, 806, 394, 802, 386
2619, 390, 388, 407, 818
2620, 821, 422, 820, 423
2621, 390, 175, 407, 22
2622, 383, 427, 160, 379
2623, 388, 407, 408, 172
2624, 806, 802, 803, 386
2625, 824, 817, 6, 409
2626, 808, 810, 376, 375
2627, 818, 23, 408, 424
2628, 805, 812, 819, 815
2629, 426, 389, 396, 167
2630, 175, 818, 407, 408
2631, 426, 168, 389, 167
2632, 169, 390, 407, 22
2633, 816, 801, 819, 812
2634, 384, 374, 162, 815
2635, 821, 816, 823, 367
2636, 389, 426, 818, 390
2637, 823, 824, 820, 803
2638, 367, 816, 400, 403
2639, 388, 12, 172, 164
2640, 811, 384, 391, 815
2641, 816, 823, 804, 819
2642, 404, 821, 367, 403
2643, 422, 181, 820, 423
2644, 377, 808, 376, 375
2645, 367, 812, 804, 364
2646, 415, 817, 9, 178
2647, 806, 419, 803, 820
2648, 427, 383, 396, 811
2649, 170, 406, 413, 808
2650, 805, 393, 804, 150
2651, 385, 818, 815, 397
2652, 422, 821, 820, 825
2653, 415, 179, 14, 822
2654, 818, 388, 408, 172
2655, 179, 822, 178, 8
2656, 427, 383, 160, 21
2657, 801, 823, 819, 814
2658, 13, 415, 14, 822
2659, 4, 378, 413, 375
2660, 417, 416, 418, 820
2661, 393, 399, 368, 151
2662, 411, 174, 178, 817
2663, 817, 23, 408, 818
2664, 179, 415, 178, 822
2665, 373, 805, 812, 381
2666, 372, 394, 369, 806
2667, 812, 801, 819, 814
2668, 818, 811, 813, 424
2669, 817, 412, 813, 809
2670, 810, 801, 809, 808
2671, 19, 181, 423, 418
2672, 400, 367, 370, 807
2673, 812, 367, 370, 364
2674, 367, 812, 370, 807
2675, 385, 818, 803, 392
2676, 822, 18, 17, 423
2677, 174, 23, 817, 411
2678, 417, 388, 824, 172
2679, 391, 397, 815, 387
2680, 148, 373, 381, 364
2681, 821, 822, 824, 809
2682, 812, 805, 374, 815
2683, 805, 163, 395, 373
2684, 813, 811, 815, 380
2685, 379, 378, 380, 813
2686, 388, 164, 172, 417
2687, 24, 817, 813, 424
2688, 812, 364, 370, 381
2689, 816, 821, 809, 401
2690, 378, 176, 413, 813
2691, 13, 18, 17, 822
2692, 812, 805, 364, 381
2693, 421, 153, 420, 806
2694, 9, 7, 412, 809
2695, 364, 148, 370, 381
2696, 379, 20, 425, 160
2697, 148, 382, 370, 381
2698, 388, 818, 408, 407
2699, 404, 422, 171, 16
2700, 379, 813, 425, 177
2701, 418, 822, 414, 824
2702, 399, 368, 369, 802
2703, 417, 418, 11, 824
2704, 389, 811, 391, 818
2705, 417, 824, 392, 803
2706, 805, 812, 804, 819
2707, 170, 7, 809, 412
2708, 23, 24, 817, 411
2709, 421, 372, 153, 806
2710, 397, 819, 815, 387
2711, 373, 148, 149, 364
2712, 366, 806, 369, 363
2713, 818, 385, 815, 391
2714, 817, 822, 809, 824
2715, 176, 410, 5, 813
2716, 812, 819, 815, 814
2717, 816, 367, 804, 823
2718, 363, 368, 364, 804
2719, 810, 812, 815, 814
2720, 363, 367, 804, 364
2721, 806, 394, 419, 166
2722, 372, 421, 394, 806
2723, 367, 816, 804, 812
2724, 366, 806, 825, 420
2725, 818, 811, 815, 813
2726, 817, 813, 815, 814
2727, 384, 374, 815, 380
2728, 421, 806, 419, 166
2729, 807, 401, 809, 808
2730, 807, 377, 808, 376
2731, 382, 157, 807, 381
2732, 384, 396, 391, 161
2733, 383, 384, 161, 396
2734, 801, 807, 809, 808
2735, 823, 802, 804, 803
2736, 157, 377, 807, 381
2737, 818, 817, 815, 814
2738, 816, 401, 403, 402
2739, 157, 377, 158, 405
2740, 813, 378, 375, 413
2741, 7, 415, 809, 9
2742, 423, 821, 171, 402
2743, 817, 818, 824, 814
2744, 816, 405, 403, 401
2745, 812, 373, 381, 374
2746, 404, 821, 403, 402
2747, 821, 816, 403, 402
2748, 817, 9, 5, 412
2749, 817, 411, 9, 178
2750, 805, 163, 374, 387
2751, 405, 816, 403, 400
2752, 383, 811, 379, 384
2753, 805, 393, 819, 804
2754, 426, 811, 396, 389
2755, 817, 818, 813, 424
2756, 169, 388, 407, 390
2757, 168, 426, 389, 390
2758, 163, 805, 395, 387
2759, 374, 163, 162, 387
2760, 817, 824, 809, 814
2761, 813, 817, 809, 814
2762, 811, 389, 391, 396
2763, 823, 802, 820, 825
2764, 372, 394, 166, 10
2765, 823, 363, 825, 365
2766, 421, 372, 166, 10
2767, 15, 180, 420, 825
2768, 822, 423, 820, 418
2769, 372, 421, 166, 394
2770, 811, 426, 424, 818
2771, 371, 805, 368, 150
2772, 822, 415, 178, 817
2773, 410, 378, 176, 159
2774, 410, 24, 813, 177
2775, 390, 389, 385, 818
2776, 806, 394, 369, 802
2777, 426, 175, 818, 390
2778, 806, 419, 398, 803
2779, 821, 367, 823, 363
2780, 816, 801, 812, 807
2781, 154, 366, 365, 825
2782, 404, 155, 365, 16
2783, 153, 366, 15, 420
2784, 7, 170, 809, 401
2785, 18, 13, 14, 822
2786, 391, 384, 162, 815
2787, 394, 399, 369, 802
2788, 416, 180, 181, 820
2789, 366, 372, 369, 806
2790, 152, 399, 369, 394
2791, 410, 378, 159, 379
2792, 410, 159, 20, 379
2793, 383, 811, 384, 396
2794, 812, 374, 381, 376
2795, 406, 3, 413, 375
2796, 388, 12, 169, 407
2797, 426, 168, 175, 390
2798, 24, 410, 813, 5
2799, 813, 413, 375, 808
2800, 811, 426, 818, 389
2801, 817, 174, 6, 409
2802, 812, 807, 808, 376
2803, 811, 379, 380, 813
2804, 811, 384, 380, 379
2805, 386, 806, 398, 803
2806, 378, 410, 813, 379
2807, 801, 810, 809, 814
2808, 363, 368, 802, 369
2809, 822, 18, 414, 14
2810, 810, 374, 376, 380
2811, 404, 367, 155, 403
2812, 382, 2, 370, 400
2813, 824, 6, 173, 409
2814, 367, 823, 363, 804
2815, 816, 801, 814, 823
2816, 824, 11, 409, 173
2817, 412, 176, 813, 413
2818, 377, 405, 808, 406
2819, 806, 363, 802, 369
2820, 817, 9, 412, 809
2821, 3, 4, 413, 375
2822, 810, 380, 376, 375
2823, 388, 390, 385, 818
2824, 812, 801, 808, 807
2825, 423, 181, 820, 418
2826, 372, 152, 369, 394
2827, 813, 24, 424, 425
2828, 811, 427, 379, 425
2829, 427, 379, 425, 160
2830, 24, 813, 177, 425
2831, 394, 806, 398, 386
2832, 393, 368, 150, 151
2833, 157, 382, 400, 2
2834, 821, 404, 171, 402
2835, 412, 813, 808, 413
2836, 810, 812, 376, 374
2837, 175, 426, 818, 424
2838, 179, 822, 173, 414
2839, 170, 412, 808, 413
2840, 383, 427, 396, 21
2841, 384, 811, 391, 396
2842, 801, 816, 814, 809
2843, 801, 816, 809, 807
2844, 371, 805, 395, 373
2845, 396, 427, 167, 21
2846, 386, 819, 804, 803
2847, 819, 393, 386, 804
2848, 367, 400, 155, 403
2849, 417, 165, 398, 392
2850, 821, 822, 809, 401
2851, 813, 810, 808, 375
2852, 810, 813, 809, 814
2853, 393, 399, 386, 802
2854, 388, 818, 385, 392
2855, 165, 417, 398, 419
2856, 399, 394, 386, 802
2857, 803, 417, 398, 392
2858, 404, 821, 825, 365
2859, 821, 367, 363, 365
2860, 419, 417, 398, 803
2861, 23, 175, 408, 424
2862, 823, 824, 814, 809
2863, 20, 379, 425, 177
2864, 180, 422, 825, 154
2865, 23, 817, 424, 818
2866, 823, 821, 824, 809
2867, 818, 824, 803, 392
2868, 816, 823, 814, 809
2869, 373, 371, 1, 395
2870, 421, 394, 806, 166
2871, 816, 821, 823, 809
2872, 163, 373, 1, 395
2873, 806, 416, 419, 820
2874, 802, 806, 820, 825
2875, 806, 802, 820, 803
2876, 811, 384, 815, 380
2877, 810, 812, 808, 376
2878, 23, 24, 424, 817
2879, 159, 378, 176, 4
2880, 422, 180, 825, 820
2881, 180, 422, 181, 820
2882, 822, 19, 418, 414
2883, 418, 824, 414, 11
2884, 400, 367, 156, 370
2885, 400, 2, 370, 156
2886, 382, 400, 370, 807
2887, 368, 363, 802, 804
2888, 176, 378, 413, 4
2889, 400, 367, 155, 156
2890, 824, 822, 414, 173
2891, 2, 382, 370, 148
2892, 817, 818, 815, 813
2893, 426, 811, 424, 425
2894, 821, 823, 824, 820
2895, 377, 158, 405, 406
2896, 374, 162, 815, 387
2897, 406, 170, 401, 808
2898, 406, 413, 808, 375
2899, 172, 824, 409, 408
2900, 822, 821, 402, 401
2901, 817, 174, 178, 6
2902, 172, 417, 11, 409
2903, 422, 821, 171, 423
2904, 404, 821, 171, 422
2905, 417, 824, 11, 409
2906, 824, 417, 172, 409
2907, 810, 813, 380, 375
2908, 374, 805, 387, 815
2909, 810, 801, 812, 814
2910, 805, 163, 373, 374
2911, 396, 383, 21, 161
2912, 813, 412, 808, 809
2913, 393, 819, 386, 397
2914, 805, 373, 812, 374
2915, 397, 386, 392, 803
2916, 818, 819, 815, 397
2917, 417, 388, 392, 824
2918, 374, 810, 815, 380
2919, 166, 394, 419, 398
2920, 388, 164, 417, 392
2921, 823, 363, 804, 802
2922, 371, 373, 1, 149
2923, 805, 819, 387, 815
2924, 422, 154, 365, 825
2925, 816, 401, 809, 807
2926, 806, 416, 825, 420
2927, 819, 818, 815, 814
2928, 373, 805, 381, 364
2929, 388, 818, 824, 172
2930, 806, 416, 420, 419
2931, 805, 393, 387, 819
2932, 175, 168, 22, 390
2933, 179, 822, 414, 14
2934, 822, 19, 423, 418
2935, 388, 12, 407, 172
2936, 174, 23, 408, 817
2937, 406, 377, 375, 808
2938, 382, 807, 370, 381
2939, 405, 816, 807, 401
2940, 802, 386, 804, 803
2941, 824, 818, 408, 172
2942, 813, 810, 809, 808
2943, 817, 818, 408, 824
2944, 824, 11, 173, 414
2945, 377, 157, 807, 405
2946, 405, 816, 400, 807
2947, 821, 823, 820, 825
2948, 823, 821, 363, 365
2949, 366, 15, 420, 825
2950, 404, 422, 365, 825
2951, 821, 404, 825, 422
2952, 418, 19, 11, 414
2953, 410, 378, 813, 176
2954, 3, 170, 406, 413
2955, 18, 822, 414, 19
2956, 405, 406, 401, 808
2957, 379, 410, 813, 177
2958, 427, 383, 811, 379
2959, 819, 386, 397, 803
2960, 162, 391, 815, 387
2961, 415, 817, 809, 9
2962, 417, 164, 165, 392
2963, 806, 394, 398, 419
2964, 153, 366, 420, 806
2965, 372, 152, 394, 10
2966, 372, 421, 153, 10
2967, 412, 817, 813, 5
2968, 176, 412, 813, 5
2969, 812, 805, 804, 364
2970, 817, 411, 5, 9
2971, 368, 805, 364, 804
2972, 181, 416, 820, 418
2973, 818, 388, 824, 392
2974, 811, 813, 424, 425
2975, 426, 427, 811, 425
2976, 158, 377, 375, 406
2977, 385, 397, 392, 803
2978, 386, 803, 398, 392
2979, 399, 152, 369, 151
2980, 379, 811, 425, 813
2981, 819, 823, 804, 803
2982, 822, 821, 820, 423
2983, 165, 166, 419, 398
2984, 175, 818, 408, 424
2985, 175, 390, 407, 818
2986, 405, 401, 807, 808
2987, 405, 377, 808, 807
2988, 822, 821, 824, 820
2989, 411, 24, 817, 5
2990, 817, 24, 813, 5
2991, 421, 806, 420, 419
2992, 410, 20, 177, 379
2993, 810, 813, 815, 380
2994, 415, 822, 809, 817
2995, 823, 819, 814, 803
2996, 810, 801, 808, 812
2997, 806, 416, 820, 825
2998, 822, 18, 423, 19
2999, 13, 822, 402, 401
3000, 821, 816, 367, 403
3001, 13, 822, 17, 402
3002, 423, 171, 17, 402
3003, 816, 367, 807, 812
3004, 367, 816, 807, 400
3005, 824, 823, 814, 803
3006, 371, 805, 364, 368
3007, 157, 405, 400, 807
3008, 382, 157, 400, 807
3009, 818, 819, 803, 814
3010, 419, 417, 803, 820
3011, 824, 818, 803, 814
3012, 802, 823, 820, 803
3013, 170, 401, 808, 809
3014, 412, 170, 808, 809
3015, 813, 378, 380, 375
3016, 154, 180, 15, 825
3017, 366, 154, 15, 825
3018, 393, 802, 386, 804
3019, 418, 822, 824, 820
3020, 416, 180, 825, 420
3021, 812, 816, 804, 819
3022, 368, 399, 369, 151
3023, 404, 367, 365, 155
3024, 393, 805, 387, 395
3025, 371, 805, 150, 395
3026, 395, 371, 1, 150
3027, 805, 393, 150, 395
3028, 366, 363, 365, 825
3029, 818, 811, 391, 815
3030, 426, 427, 396, 811
3031, 363, 823, 825, 802
3032, 821, 823, 825, 365
3033, 822, 179, 173, 8
3034, 806, 363, 825, 802
3035, 817, 174, 409, 408
3036, 806, 366, 825, 363
3037, 824, 417, 820, 803
3038, 821, 404, 367, 365
3039, 417, 418, 824, 820
3040, 416, 417, 419, 820
3041, 391, 385, 815, 397
3042, 824, 817, 409, 408
3043, 393, 819, 397, 387
3044, 154, 422, 365, 16
3045, 384, 391, 162, 161
3046, 389, 818, 391, 385
3047, 801, 816, 819, 823
3048, 423, 402, 822, 821
3049, 822, 402, 423, 17
3050, 415, 809, 401, 7
3051, 401, 809, 415, 822
3052, 401, 13, 415, 7
3053, 415, 13, 401, 822
3054, 173, 8, 824, 822
3055, 173, 824, 8, 6
3056, 376, 807, 381, 812
3057, 376, 381, 807, 377
3058, 6, 178, 824, 8
3059, 6, 824, 178, 817
3060, 822, 824, 178, 8
3061, 822, 178, 824, 817
3062, 397, 818, 803, 385
3063, 397, 803, 818, 819
3064, 371, 373, 364, 805
3065, 364, 373, 371, 149
3066, 393, 802, 368, 399
3067, 368, 802, 393, 804
3068, 442, 827, 438, 441
3069, 440, 827, 438, 828
3070, 826, 171, 422, 437
3071, 447, 826, 444, 451
3072, 436, 827, 429, 434
3073, 435, 450, 188, 433
3074, 826, 431, 422, 452
3075, 28, 193, 447, 198
3076, 186, 432, 445, 33
3077, 422, 180, 181, 452
3078, 439, 193, 30, 448
3079, 453, 454, 448, 828
3080, 826, 422, 181, 452
3081, 439, 443, 448, 828
3082, 31, 439, 30, 448
3083, 447, 197, 26, 29
3084, 193, 31, 30, 448
3085, 192, 32, 456, 441
3086, 25, 37, 18, 423
3087, 444, 447, 448, 828
3088, 826, 171, 423, 422
3089, 431, 826, 428, 433
3090, 187, 433, 188, 449
3091, 436, 827, 440, 429
3092, 183, 436, 440, 429
3093, 182, 435, 429, 440
3094, 184, 827, 455, 456
3095, 171, 16, 422, 437
3096, 447, 453, 448, 828
3097, 826, 446, 195, 34
3098, 447, 193, 444, 448
3099, 442, 439, 443, 191
3100, 442, 35, 443, 194
3101, 826, 446, 445, 195
3102, 455, 184, 185, 434
3103, 430, 36, 445, 196
3104, 32, 436, 456, 441
3105, 827, 436, 440, 441
3106, 443, 194, 444, 827
3107, 435, 450, 433, 828
3108, 193, 439, 443, 448
3109, 446, 171, 196, 37
3110, 431, 826, 437, 430
3111, 826, 431, 428, 430
3112, 433, 450, 188, 449
3113, 442, 192, 456, 441
3114, 197, 447, 26, 451
3115, 827, 442, 456, 441
3116, 180, 431, 422, 154
3117, 450, 435, 27, 189
3118, 429, 827, 828, 434
3119, 35, 442, 443, 191
3120, 435, 450, 27, 188
3121, 19, 197, 18, 423
3122, 448, 454, 438, 828
3123, 186, 432, 430, 445
3124, 827, 194, 455, 456
3125, 443, 439, 827, 828
3126, 446, 826, 445, 196
3127, 32, 183, 436, 441
3128, 447, 29, 26, 444
3129, 439, 190, 438, 448
3130, 436, 827, 434, 184
3131, 197, 19, 451, 423
3132, 432, 826, 455, 434
3133, 431, 180, 452, 15
3134, 451, 826, 181, 452
3135, 431, 187, 452, 449
3136, 428, 826, 432, 434
3137, 190, 454, 438, 448
3138, 826, 453, 828, 449
3139, 826, 453, 449, 451
3140, 186, 36, 445, 430
3141, 826, 430, 445, 196
3142, 193, 447, 444, 29
3143, 432, 826, 445, 195
3144, 182, 183, 440, 429
3145, 440, 828, 438, 189
3146, 439, 448, 438, 828
3147, 826, 451, 449, 452
3148, 826, 453, 451, 447
3149, 431, 826, 433, 449
3150, 453, 450, 828, 449
3151, 453, 450, 454, 828
3152, 25, 446, 37, 423
3153, 37, 17, 18, 423
3154, 435, 182, 27, 189
3155, 187, 431, 433, 449
3156, 827, 194, 34, 455
3157, 446, 826, 444, 34
3158, 25, 446, 444, 34
3159, 16, 422, 437, 154
3160, 436, 183, 440, 441
3161, 826, 422, 423, 181
3162, 443, 444, 448, 828
3163, 450, 435, 189, 440
3164, 194, 442, 827, 443
3165, 454, 190, 438, 189
3166, 827, 436, 456, 184
3167, 435, 182, 189, 440
3168, 826, 827, 34, 455
3169, 827, 826, 34, 444
3170, 35, 442, 192, 456
3171, 436, 32, 456, 184
3172, 432, 455, 185, 434
3173, 826, 428, 433, 828
3174, 826, 25, 444, 26
3175, 17, 171, 423, 37
3176, 826, 451, 181, 423
3177, 187, 431, 452, 15
3178, 194, 442, 456, 827
3179, 431, 180, 15, 154
3180, 826, 432, 455, 195
3181, 193, 439, 30, 443
3182, 826, 451, 423, 26
3183, 25, 26, 423, 18
3184, 436, 827, 456, 441
3185, 439, 442, 827, 438
3186, 28, 197, 447, 29
3187, 826, 827, 828, 444
3188, 443, 827, 444, 828
3189, 450, 454, 828, 189
3190, 826, 827, 455, 434
3191, 195, 826, 34, 455
3192, 439, 442, 443, 827
3193, 450, 433, 828, 449
3194, 451, 447, 26, 444
3195, 826, 446, 25, 423
3196, 193, 28, 447, 29
3197, 432, 826, 430, 445
3198, 433, 826, 828, 449
3199, 431, 826, 422, 437
3200, 451, 19, 181, 423
3201, 826, 446, 171, 196
3202, 36, 16, 196, 437
3203, 826, 431, 452, 449
3204, 827, 440, 438, 441
3205, 16, 171, 196, 437
3206, 440, 450, 828, 189
3207, 439, 827, 828, 438
3208, 428, 429, 828, 434
3209, 826, 428, 432, 430
3210, 446, 826, 25, 444
3211, 193, 443, 444, 448
3212, 184, 827, 434, 455
3213, 194, 827, 34, 444
3214, 827, 826, 828, 434
3215, 826, 428, 828, 434
3216, 31, 190, 439, 448
3217, 193, 198, 448, 447
3218, 31, 193, 198, 448
3219, 429, 435, 433, 828
3220, 25, 826, 423, 26
3221, 431, 180, 422, 452
3222, 35, 442, 456, 194
3223, 195, 432, 455, 185
3224, 33, 432, 195, 185
3225, 428, 429, 433, 828
3226, 827, 429, 828, 440
3227, 451, 826, 444, 26
3228, 828, 454, 438, 189
3229, 33, 432, 445, 195
3230, 439, 443, 191, 30
3231, 429, 435, 828, 440
3232, 437, 36, 430, 196
3233, 435, 450, 828, 440
3234, 422, 431, 437, 154
3235, 423, 446, 171, 826
3236, 423, 171, 446, 37
3237, 447, 828, 826, 453
3238, 826, 828, 447, 444
3239, 437, 196, 826, 171
3240, 826, 196, 437, 430
3241, 423, 197, 26, 451
3242, 423, 26, 197, 18
3243, 47, 43, 48, 474
3244, 462, 475, 473, 210
3245, 464, 43, 44, 472
3246, 473, 475, 472, 51
3247, 475, 462, 204, 50
3248, 475, 474, 472, 51
3249, 460, 199, 829, 465
3250, 475, 462, 458, 461
3251, 829, 39, 206, 466
3252, 203, 460, 465, 38
3253, 475, 473, 210, 51
3254, 469, 457, 463, 829
3255, 467, 464, 40, 206
3256, 829, 469, 457, 459
3257, 469, 201, 457, 459
3258, 205, 45, 209, 458
3259, 460, 203, 468, 461
3260, 469, 458, 829, 470
3261, 473, 475, 458, 470
3262, 465, 199, 829, 466
3263, 49, 203, 461, 468
3264, 471, 45, 202, 458
3265, 203, 460, 468, 465
3266, 469, 201, 459, 42
3267, 462, 205, 50, 473
3268, 464, 474, 472, 470
3269, 829, 460, 468, 461
3270, 462, 475, 210, 50
3271, 45, 471, 209, 458
3272, 41, 39, 463, 457
3273, 207, 469, 463, 470
3274, 473, 205, 209, 458
3275, 473, 46, 472, 470
3276, 462, 475, 458, 473
3277, 829, 464, 463, 470
3278, 464, 467, 829, 466
3279, 460, 199, 465, 38
3280, 472, 46, 44, 470
3281, 464, 43, 472, 474
3282, 201, 459, 200, 457
3283, 460, 829, 200, 459
3284, 199, 39, 829, 466
3285, 471, 458, 469, 470
3286, 43, 47, 472, 474
3287, 467, 464, 206, 466
3288, 202, 469, 459, 42
3289, 469, 463, 457, 41
3290, 471, 469, 459, 202
3291, 467, 208, 48, 474
3292, 469, 207, 463, 41
3293, 465, 460, 468, 829
3294, 458, 471, 459, 202
3295, 471, 458, 459, 469
3296, 467, 465, 829, 466
3297, 829, 206, 464, 466
3298, 48, 43, 40, 474
3299, 473, 475, 470, 472
3300, 458, 829, 470, 461
3301, 199, 39, 457, 829
3302, 46, 473, 209, 470
3303, 462, 205, 473, 458
3304, 463, 44, 207, 470
3305, 467, 829, 468, 461
3306, 467, 465, 468, 829
3307, 472, 464, 470, 44
3308, 464, 467, 474, 470
3309, 469, 829, 463, 470
3310, 469, 201, 41, 457
3311, 464, 467, 470, 829
3312, 829, 199, 200, 457
3313, 458, 475, 461, 470
3314, 474, 47, 472, 51
3315, 463, 44, 470, 464
3316, 460, 199, 200, 829
3317, 458, 460, 829, 461
3318, 39, 829, 463, 457
3319, 475, 462, 461, 204
3320, 39, 829, 206, 463
3321, 829, 464, 206, 463
3322, 201, 459, 42, 200
3323, 462, 473, 50, 210
3324, 467, 48, 40, 474
3325, 464, 467, 40, 474
3326, 474, 475, 472, 470
3327, 459, 829, 200, 457
3328, 829, 467, 470, 461
3329, 46, 473, 472, 51
3330, 460, 199, 38, 200
3331, 43, 464, 40, 474
3332, 458, 209, 470, 471
3333, 458, 470, 209, 473
3334, 459, 829, 458, 460
3335, 459, 458, 829, 469
3336, 467, 468, 475, 461
3337, 467, 470, 475, 474
3338, 475, 470, 467, 461
3339, 49, 468, 204, 208
3340, 49, 204, 468, 461
3341, 475, 204, 468, 208
3342, 475, 468, 204, 461
3343, 475, 467, 208, 468
3344, 208, 467, 475, 474
3345, 479, 53, 412, 477
3346, 413, 216, 483, 482
3347, 476, 477, 52, 480
3348, 58, 479, 214, 483
3349, 476, 211, 56, 482
3350, 479, 480, 483, 215
3351, 412, 170, 478, 483
3352, 412, 477, 176, 413
3353, 482, 476, 481, 483
3354, 412, 7, 57, 170
3355, 412, 53, 5, 477
3356, 476, 480, 481, 483
3357, 412, 9, 5, 478
3358, 479, 53, 478, 412
3359, 53, 412, 5, 478
3360, 7, 412, 57, 478
3361, 170, 412, 413, 483
3362, 413, 216, 170, 483
3363, 479, 58, 478, 54
3364, 477, 479, 213, 480
3365, 479, 477, 483, 480
3366, 477, 412, 176, 5
3367, 9, 53, 5, 478
3368, 212, 476, 52, 480
3369, 9, 53, 478, 54
3370, 53, 479, 213, 477
3371, 212, 476, 480, 481
3372, 212, 215, 55, 481
3373, 58, 479, 478, 214
3374, 477, 476, 413, 483
3375, 476, 211, 482, 481
3376, 214, 483, 478, 57
3377, 482, 476, 3, 56
3378, 480, 215, 481, 483
3379, 476, 482, 3, 413
3380, 412, 479, 483, 478
3381, 477, 4, 176, 413
3382, 479, 214, 483, 478
3383, 412, 477, 413, 483
3384, 483, 170, 478, 57
3385, 4, 476, 3, 413
3386, 413, 216, 482, 3
3387, 476, 4, 52, 477
3388, 170, 483, 216, 57
3389, 56, 482, 216, 3
3390, 413, 216, 3, 170
3391, 55, 476, 481, 211
3392, 483, 413, 482, 476
3393, 170, 412, 478, 57
3394, 4, 476, 413, 477
3395, 412, 7, 9, 478
3396, 479, 58, 215, 483
3397, 477, 476, 483, 480
3398, 53, 479, 478, 54
3399, 212, 480, 215, 481
3400, 412, 479, 477, 483
3401, 55, 476, 212, 481
3402, 480, 477, 52, 213
3403, 60, 218, 217, 219
3404, 484, 53, 9, 54
3405, 8, 221, 178, 484
3406, 59, 486, 485, 219
3407, 411, 24, 64, 488
3408, 486, 218, 484, 485
3409, 62, 218, 485, 484
3410, 411, 64, 5, 53
3411, 487, 62, 485, 484
3412, 6, 221, 178, 8
3413, 487, 488, 485, 65
3414, 411, 484, 9, 178
3415, 174, 221, 487, 484
3416, 221, 174, 178, 484
3417, 221, 6, 178, 174
3418, 66, 486, 488, 65
3419, 484, 486, 54, 217
3420, 62, 63, 487, 485
3421, 411, 23, 24, 488
3422, 23, 411, 220, 488
3423, 218, 486, 484, 217
3424, 486, 218, 485, 219
3425, 64, 411, 488, 53
3426, 411, 174, 487, 484
3427, 486, 64, 488, 53
3428, 221, 62, 487, 484
3429, 411, 486, 488, 53
3430, 61, 487, 485, 65
3431, 487, 63, 61, 485
3432, 488, 487, 220, 65
3433, 221, 62, 484, 8
3434, 62, 221, 487, 63
3435, 411, 53, 5, 9
3436, 59, 61, 485, 65
3437, 484, 411, 9, 53
3438, 411, 174, 220, 487
3439, 218, 486, 217, 219
3440, 174, 411, 178, 484
3441, 486, 484, 54, 53
3442, 411, 24, 5, 64
3443, 411, 23, 220, 174
3444, 486, 66, 488, 64
3445, 486, 411, 484, 53
3446, 411, 487, 220, 488
3447, 486, 66, 59, 65
3448, 65, 486, 485, 59
3449, 65, 485, 486, 488
3450, 485, 488, 484, 486
3451, 485, 484, 488, 487
3452, 411, 484, 488, 486
3453, 411, 488, 484, 487
3454, 484, 8, 62, 489
3455, 218, 484, 62, 489
3456, 484, 478, 491, 54
3457, 179, 8, 178, 489
3458, 68, 218, 62, 489
3459, 72, 57, 492, 7
3460, 72, 69, 13, 489
3461, 415, 179, 178, 489
3462, 478, 54, 58, 491
3463, 74, 490, 492, 67
3464, 415, 72, 7, 13
3465, 490, 72, 71, 492
3466, 492, 222, 491, 73
3467, 217, 484, 491, 54
3468, 415, 14, 179, 489
3469, 478, 58, 214, 491
3470, 218, 70, 217, 222
3471, 57, 492, 478, 214
3472, 492, 484, 478, 491
3473, 72, 490, 71, 69
3474, 9, 415, 478, 7
3475, 218, 70, 222, 67
3476, 415, 9, 484, 178
3477, 74, 492, 222, 67
3478, 492, 478, 214, 491
3479, 492, 218, 222, 67
3480, 73, 492, 58, 491
3481, 484, 490, 492, 489
3482, 74, 490, 71, 492
3483, 69, 14, 13, 489
3484, 68, 490, 489, 69
3485, 415, 484, 492, 489
3486, 415, 72, 492, 7
3487, 415, 9, 478, 484
3488, 490, 72, 489, 69
3489, 492, 74, 222, 73
3490, 484, 9, 478, 54
3491, 14, 415, 13, 489
3492, 415, 72, 13, 489
3493, 415, 492, 478, 7
3494, 490, 218, 492, 67
3495, 484, 415, 178, 489
3496, 72, 415, 492, 489
3497, 8, 484, 178, 489
3498, 490, 72, 492, 489
3499, 70, 218, 217, 60
3500, 484, 218, 492, 490
3501, 58, 492, 214, 491
3502, 218, 68, 67, 490
3503, 492, 57, 478, 7
3504, 415, 484, 478, 492
3505, 489, 218, 490, 68
3506, 489, 490, 218, 484
3507, 222, 492, 484, 218
3508, 484, 492, 222, 491
3509, 484, 217, 222, 218
3510, 222, 217, 484, 491
3511, 513, 82, 503, 83
3512, 830, 514, 235, 506
3513, 502, 497, 223, 75
3514, 229, 504, 501, 831
3515, 513, 82, 509, 503
3516, 194, 499, 35, 512
3517, 236, 500, 512, 76
3518, 232, 513, 514, 506
3519, 234, 79, 80, 495
3520, 830, 499, 500, 501
3521, 34, 830, 235, 511
3522, 228, 77, 515, 231
3523, 232, 513, 503, 83
3524, 194, 499, 512, 830
3525, 502, 229, 501, 831
3526, 226, 510, 80, 495
3527, 502, 497, 830, 223
3528, 226, 493, 510, 495
3529, 456, 498, 32, 192
3530, 510, 234, 80, 495
3531, 77, 227, 228, 515
3532, 505, 830, 506, 831
3533, 194, 456, 35, 499
3534, 508, 504, 229, 831
3535, 515, 504, 236, 500
3536, 234, 510, 511, 507
3537, 830, 499, 512, 500
3538, 223, 497, 830, 494
3539, 228, 504, 500, 501
3540, 509, 234, 511, 507
3541, 82, 513, 509, 78
3542, 225, 505, 496, 507
3543, 195, 493, 511, 510
3544, 513, 78, 235, 511
3545, 502, 497, 508, 831
3546, 494, 830, 496, 831
3547, 494, 493, 496, 830
3548, 235, 830, 506, 511
3549, 498, 456, 499, 35
3550, 493, 455, 830, 494
3551, 195, 455, 493, 185
3552, 184, 455, 185, 494
3553, 830, 505, 506, 511
3554, 500, 515, 76, 236
3555, 504, 505, 506, 831
3556, 504, 228, 229, 501
3557, 33, 195, 493, 185
3558, 78, 34, 235, 511
3559, 830, 505, 496, 831
3560, 497, 508, 831, 224
3561, 495, 225, 496, 507
3562, 502, 508, 229, 831
3563, 505, 830, 496, 511
3564, 497, 502, 830, 831
3565, 455, 493, 185, 494
3566, 830, 504, 831, 501
3567, 456, 498, 494, 184
3568, 224, 505, 496, 225
3569, 497, 508, 224, 75
3570, 503, 509, 511, 507
3571, 228, 504, 515, 500
3572, 514, 504, 231, 506
3573, 830, 493, 496, 511
3574, 513, 232, 503, 506
3575, 513, 235, 506, 511
3576, 497, 224, 831, 496
3577, 503, 233, 234, 507
3578, 456, 455, 494, 830
3579, 497, 494, 831, 830
3580, 503, 513, 511, 509
3581, 194, 830, 512, 235
3582, 498, 456, 494, 830
3583, 504, 830, 236, 500
3584, 233, 79, 234, 507
3585, 456, 455, 184, 494
3586, 194, 455, 830, 34
3587, 223, 498, 32, 184
3588, 502, 830, 831, 501
3589, 79, 495, 507, 225
3590, 224, 505, 831, 496
3591, 503, 83, 81, 84
3592, 82, 83, 81, 503
3593, 510, 234, 495, 507
3594, 498, 223, 830, 494
3595, 498, 502, 830, 223
3596, 233, 503, 81, 84
3597, 504, 830, 500, 501
3598, 503, 233, 81, 509
3599, 494, 497, 831, 496
3600, 514, 232, 506, 231
3601, 508, 505, 831, 224
3602, 497, 502, 508, 75
3603, 227, 228, 515, 500
3604, 234, 79, 495, 507
3605, 82, 503, 81, 509
3606, 233, 503, 234, 509
3607, 514, 830, 235, 236
3608, 78, 513, 509, 511
3609, 195, 33, 493, 510
3610, 500, 230, 512, 76
3611, 456, 498, 499, 830
3612, 500, 499, 512, 230
3613, 508, 502, 229, 75
3614, 504, 228, 515, 231
3615, 235, 830, 512, 236
3616, 505, 503, 511, 507
3617, 194, 455, 456, 830
3618, 513, 514, 506, 235
3619, 233, 509, 234, 81
3620, 504, 514, 515, 236
3621, 514, 504, 830, 236
3622, 498, 456, 35, 192
3623, 830, 500, 512, 236
3624, 498, 223, 494, 184
3625, 498, 499, 830, 501
3626, 34, 455, 830, 511
3627, 195, 455, 34, 511
3628, 194, 34, 830, 235
3629, 504, 514, 231, 515
3630, 504, 508, 505, 831
3631, 503, 505, 511, 506
3632, 513, 503, 511, 506
3633, 194, 456, 499, 830
3634, 33, 226, 493, 510
3635, 502, 498, 830, 501
3636, 509, 503, 234, 507
3637, 498, 456, 32, 184
3638, 227, 515, 76, 500
3639, 35, 499, 230, 512
3640, 830, 506, 504, 514
3641, 504, 506, 830, 831
3642, 507, 496, 511, 505
3643, 507, 496, 493, 511
3644, 493, 496, 507, 495
3645, 493, 510, 507, 511
3646, 507, 510, 493, 495
3647, 511, 455, 493, 195
3648, 511, 493, 455, 830
3649, 522, 93, 92, 91
3650, 516, 63, 523, 221
3651, 525, 240, 69, 518
3652, 238, 516, 63, 523
3653, 527, 92, 11, 523
3654, 516, 520, 523, 517
3655, 173, 489, 179, 414
3656, 520, 245, 523, 517
3657, 524, 85, 240, 518
3658, 489, 173, 179, 8
3659, 237, 516, 517, 520
3660, 526, 87, 239, 517
3661, 237, 87, 526, 517
3662, 238, 245, 89, 517
3663, 243, 519, 518, 524
3664, 63, 516, 62, 221
3665, 489, 68, 69, 525
3666, 489, 14, 414, 518
3667, 19, 18, 197, 518
3668, 516, 238, 517, 523
3669, 489, 14, 179, 414
3670, 522, 244, 521, 527
3671, 414, 19, 197, 518
3672, 246, 526, 239, 517
3673, 527, 244, 521, 28
3674, 62, 489, 8, 221
3675, 520, 522, 245, 91
3676, 522, 244, 527, 93
3677, 522, 92, 245, 91
3678, 527, 525, 519, 523
3679, 173, 489, 414, 523
3680, 173, 489, 523, 221
3681, 173, 414, 11, 523
3682, 88, 526, 241, 520
3683, 489, 173, 8, 221
3684, 526, 237, 517, 520
3685, 526, 520, 517, 245
3686, 520, 527, 519, 523
3687, 242, 520, 519, 525
3688, 489, 414, 523, 525
3689, 68, 516, 525, 489
3690, 414, 527, 518, 197
3691, 522, 527, 519, 520
3692, 86, 243, 524, 519
3693, 520, 516, 523, 525
3694, 527, 414, 518, 525
3695, 414, 527, 11, 523
3696, 87, 237, 526, 520
3697, 521, 29, 197, 28
3698, 516, 489, 523, 525
3699, 489, 525, 69, 518
3700, 527, 521, 197, 28
3701, 18, 197, 518, 26
3702, 90, 246, 517, 245
3703, 18, 19, 414, 518
3704, 489, 414, 525, 518
3705, 238, 245, 517, 523
3706, 519, 525, 518, 524
3707, 414, 527, 523, 525
3708, 516, 68, 525, 237
3709, 526, 246, 245, 517
3710, 88, 237, 520, 242
3711, 522, 527, 92, 93
3712, 87, 88, 237, 520
3713, 246, 90, 517, 239
3714, 527, 525, 518, 519
3715, 243, 521, 518, 519
3716, 516, 68, 62, 489
3717, 18, 14, 518, 414
3718, 237, 516, 520, 525
3719, 242, 237, 520, 525
3720, 527, 521, 518, 197
3721, 88, 87, 526, 520
3722, 527, 19, 197, 414
3723, 521, 527, 518, 519
3724, 221, 173, 8, 6
3725, 520, 526, 241, 91
3726, 197, 521, 518, 26
3727, 14, 489, 69, 518
3728, 524, 525, 518, 240
3729, 521, 243, 518, 26
3730, 29, 521, 197, 26
3731, 19, 527, 11, 414
3732, 86, 242, 519, 524
3733, 242, 525, 519, 524
3734, 245, 90, 89, 517
3735, 243, 86, 524, 85
3736, 243, 521, 29, 26
3737, 527, 522, 519, 521
3738, 525, 520, 519, 523
3739, 526, 245, 91, 520
3740, 91, 245, 526, 246
3741, 243, 518, 85, 524
3742, 85, 518, 243, 26
3743, 516, 221, 489, 62
3744, 489, 221, 516, 523
3745, 520, 527, 245, 522
3746, 520, 245, 527, 523
3747, 92, 245, 527, 522
3748, 92, 527, 245, 523
3749, 832, 244, 522, 544
3750, 832, 532, 253, 530
3751, 539, 252, 519, 536
3752, 534, 256, 100, 528
3753, 832, 531, 535, 529
3754, 256, 832, 542, 540
3755, 832, 256, 522, 540
3756, 521, 193, 537, 29
3757, 198, 832, 28, 193
3758, 31, 193, 30, 535
3759, 531, 832, 535, 530
3760, 93, 832, 522, 544
3761, 537, 521, 29, 536
3762, 832, 534, 528, 256
3763, 522, 832, 519, 521
3764, 530, 832, 535, 538
3765, 542, 832, 98, 539
3766, 832, 521, 537, 536
3767, 543, 529, 101, 528
3768, 256, 534, 100, 541
3769, 832, 193, 538, 537
3770, 832, 539, 519, 536
3771, 521, 243, 536, 519
3772, 258, 832, 544, 529
3773, 521, 243, 29, 536
3774, 198, 544, 535, 250
3775, 96, 533, 248, 255
3776, 531, 832, 528, 529
3777, 533, 96, 541, 255
3778, 534, 832, 533, 541
3779, 258, 529, 250, 101
3780, 530, 832, 538, 253
3781, 832, 257, 253, 532
3782, 94, 832, 539, 98
3783, 256, 91, 522, 540
3784, 832, 256, 528, 543
3785, 534, 247, 100, 541
3786, 534, 832, 528, 531
3787, 95, 97, 532, 253
3788, 93, 832, 544, 258
3789, 93, 832, 258, 256
3790, 533, 257, 248, 255
3791, 540, 91, 522, 520
3792, 93, 832, 256, 522
3793, 258, 832, 529, 543
3794, 254, 542, 539, 540
3795, 540, 254, 88, 520
3796, 258, 544, 250, 529
3797, 832, 257, 532, 533
3798, 544, 529, 535, 250
3799, 198, 832, 193, 535
3800, 521, 832, 519, 536
3801, 258, 832, 543, 256
3802, 533, 257, 532, 248
3803, 242, 252, 519, 539
3804, 94, 832, 537, 539
3805, 532, 95, 253, 530
3806, 532, 832, 531, 530
3807, 254, 242, 88, 520
3808, 832, 543, 528, 529
3809, 254, 540, 539, 520
3810, 241, 540, 88, 520
3811, 538, 30, 535, 249
3812, 544, 832, 535, 529
3813, 95, 530, 538, 253
3814, 832, 193, 535, 538
3815, 258, 543, 529, 101
3816, 193, 198, 535, 31
3817, 533, 832, 531, 532
3818, 534, 832, 531, 533
3819, 832, 244, 521, 522
3820, 530, 538, 535, 249
3821, 832, 257, 533, 255
3822, 257, 97, 532, 248
3823, 243, 86, 536, 519
3824, 86, 252, 536, 519
3825, 832, 244, 544, 521
3826, 539, 832, 519, 520
3827, 832, 193, 537, 521
3828, 256, 93, 522, 91
3829, 242, 254, 539, 520
3830, 253, 832, 538, 537
3831, 544, 244, 522, 93
3832, 241, 91, 540, 520
3833, 543, 528, 101, 251
3834, 530, 95, 538, 249
3835, 97, 257, 532, 253
3836, 247, 96, 541, 533
3837, 540, 832, 520, 522
3838, 832, 544, 28, 521
3839, 542, 832, 539, 540
3840, 255, 832, 542, 541
3841, 534, 247, 541, 533
3842, 533, 832, 255, 541
3843, 544, 832, 28, 198
3844, 94, 832, 253, 537
3845, 540, 832, 539, 520
3846, 542, 539, 98, 99
3847, 832, 257, 255, 98
3848, 257, 832, 253, 98
3849, 94, 539, 537, 536
3850, 94, 252, 539, 536
3851, 544, 244, 28, 521
3852, 832, 544, 535, 198
3853, 832, 94, 253, 98
3854, 242, 539, 519, 520
3855, 254, 542, 99, 539
3856, 242, 252, 86, 519
3857, 542, 255, 99, 98
3858, 521, 193, 29, 28
3859, 251, 256, 543, 528
3860, 832, 255, 542, 98
3861, 251, 256, 528, 100
3862, 193, 538, 30, 535
3863, 31, 198, 535, 250
3864, 193, 832, 28, 521
3865, 539, 832, 537, 536
3866, 832, 522, 519, 520
3867, 832, 256, 542, 541
3868, 832, 534, 256, 541
3869, 556, 102, 557, 553
3870, 560, 559, 561, 546
3871, 70, 102, 556, 553
3872, 547, 261, 546, 564
3873, 547, 551, 545, 262
3874, 551, 562, 110, 263
3875, 491, 58, 73, 112
3876, 552, 558, 549, 550
3877, 558, 268, 111, 552
3878, 559, 558, 550, 549
3879, 264, 558, 111, 552
3880, 564, 66, 486, 64
3881, 267, 104, 557, 560
3882, 564, 559, 486, 546
3883, 559, 556, 553, 217
3884, 268, 58, 479, 559
3885, 259, 558, 105, 550
3886, 551, 562, 563, 564
3887, 547, 551, 563, 564
3888, 212, 552, 55, 215
3889, 547, 551, 262, 108
3890, 552, 111, 55, 215
3891, 261, 547, 563, 564
3892, 551, 563, 263, 108
3893, 102, 107, 557, 553
3894, 555, 559, 560, 546
3895, 102, 103, 556, 557
3896, 107, 559, 557, 553
3897, 104, 560, 106, 548
3898, 479, 53, 486, 54
3899, 268, 558, 559, 479
3900, 107, 560, 267, 557
3901, 564, 261, 546, 109
3902, 562, 265, 64, 554
3903, 559, 555, 486, 546
3904, 268, 58, 215, 479
3905, 549, 212, 52, 480
3906, 547, 551, 546, 545
3907, 555, 59, 556, 486
3908, 551, 547, 546, 564
3909, 479, 559, 486, 549
3910, 555, 564, 486, 546
3911, 558, 264, 105, 550
3912, 267, 104, 560, 106
3913, 545, 259, 561, 260
3914, 559, 558, 549, 479
3915, 548, 555, 109, 104
3916, 59, 219, 556, 486
3917, 556, 70, 217, 60
3918, 103, 555, 556, 557
3919, 222, 491, 73, 553
3920, 551, 564, 546, 550
3921, 559, 556, 217, 486
3922, 219, 556, 486, 217
3923, 551, 547, 563, 108
3924, 559, 555, 556, 486
3925, 549, 559, 486, 564
3926, 66, 555, 486, 59
3927, 266, 66, 486, 564
3928, 106, 548, 560, 260
3929, 555, 266, 486, 564
3930, 555, 266, 564, 546
3931, 562, 551, 549, 564
3932, 58, 491, 559, 112
3933, 213, 479, 549, 480
3934, 268, 479, 215, 552
3935, 555, 66, 486, 266
3936, 559, 491, 217, 553
3937, 546, 545, 561, 260
3938, 552, 212, 549, 480
3939, 564, 559, 546, 550
3940, 266, 564, 546, 109
3941, 549, 559, 564, 550
3942, 213, 549, 52, 480
3943, 479, 552, 549, 480
3944, 562, 551, 110, 549
3945, 548, 555, 560, 546
3946, 558, 479, 552, 549
3947, 262, 545, 105, 550
3948, 555, 103, 104, 557
3949, 559, 479, 486, 54
3950, 104, 560, 548, 555
3951, 559, 107, 557, 560
3952, 549, 110, 554, 52
3953, 219, 556, 217, 60
3954, 264, 558, 552, 550
3955, 559, 556, 555, 557
3956, 552, 268, 111, 215
3957, 551, 545, 550, 546
3958, 491, 222, 217, 553
3959, 547, 261, 563, 108
3960, 549, 562, 564, 554
3961, 104, 560, 555, 557
3962, 562, 551, 563, 263
3963, 559, 556, 557, 553
3964, 553, 491, 73, 112
3965, 559, 555, 560, 557
3966, 551, 549, 564, 550
3967, 107, 559, 553, 112
3968, 103, 555, 59, 556
3969, 212, 552, 215, 480
3970, 546, 545, 550, 561
3971, 213, 549, 554, 52
3972, 552, 479, 215, 480
3973, 262, 551, 545, 550
3974, 559, 546, 550, 561
3975, 545, 259, 105, 550
3976, 558, 559, 550, 561
3977, 559, 491, 553, 112
3978, 268, 558, 479, 552
3979, 268, 58, 559, 112
3980, 54, 559, 58, 491
3981, 54, 58, 559, 479
3982, 560, 546, 260, 548
3983, 260, 546, 560, 561
3984, 562, 554, 110, 265
3985, 110, 554, 562, 549
3986, 213, 53, 549, 479
3987, 213, 549, 53, 554
3988, 486, 549, 53, 479
3989, 546, 555, 109, 548
3990, 546, 109, 555, 266
3991, 217, 70, 553, 222
3992, 217, 553, 70, 556
3993, 217, 559, 54, 491
3994, 217, 54, 559, 486
3995, 554, 564, 64, 562
3996, 561, 550, 259, 545
3997, 561, 259, 550, 558
3998, 64, 53, 564, 554
3999, 64, 564, 53, 486
4000, 549, 564, 53, 554
4001, 549, 53, 564, 486
4002, 834, 840, 64, 488
4003, 833, 573, 568, 587
4004, 834, 424, 835, 488
4005, 266, 66, 564, 840
4006, 573, 113, 269, 568
4007, 276, 573, 584, 587
4008, 269, 576, 572, 270
4009, 833, 573, 587, 837
4010, 590, 65, 839, 592
4011, 177, 574, 425, 575
4012, 587, 584, 579, 837
4013, 266, 590, 840, 567
4014, 582, 168, 426, 581
4015, 577, 277, 838, 575
4016, 833, 836, 839, 835
4017, 839, 836, 585, 835
4018, 576, 573, 269, 568
4019, 582, 593, 175, 22
4020, 833, 573, 837, 576
4021, 425, 427, 160, 575
4022, 584, 277, 838, 577
4023, 261, 109, 564, 567
4024, 585, 584, 581, 837
4025, 833, 836, 835, 837
4026, 580, 839, 281, 586
4027, 833, 576, 834, 578
4028, 116, 590, 566, 839
4029, 563, 263, 108, 270
4030, 833, 565, 836, 568
4031, 587, 833, 836, 568
4032, 562, 840, 564, 64
4033, 576, 574, 834, 578
4034, 834, 833, 835, 837
4035, 263, 563, 840, 578
4036, 574, 576, 834, 577
4037, 562, 263, 563, 840
4038, 839, 571, 566, 594
4039, 427, 167, 588, 426
4040, 565, 836, 570, 839
4041, 590, 65, 488, 839
4042, 840, 66, 64, 488
4043, 574, 834, 265, 589
4044, 574, 834, 425, 575
4045, 276, 113, 573, 587
4046, 839, 582, 593, 835
4047, 565, 836, 568, 570
4048, 177, 834, 24, 425
4049, 585, 582, 835, 581
4050, 834, 574, 577, 575
4051, 425, 177, 575, 20
4052, 23, 424, 592, 175
4053, 110, 574, 578, 265
4054, 579, 836, 583, 570
4055, 576, 573, 837, 577
4056, 573, 113, 568, 587
4057, 424, 834, 838, 425
4058, 277, 838, 427, 588
4059, 573, 584, 587, 837
4060, 562, 110, 578, 265
4061, 584, 577, 838, 837
4062, 577, 834, 838, 837
4063, 66, 840, 64, 564
4064, 584, 588, 581, 838
4065, 563, 263, 270, 578
4066, 836, 587, 579, 837
4067, 593, 839, 835, 592
4068, 835, 424, 838, 426
4069, 833, 834, 840, 578
4070, 424, 23, 835, 488
4071, 833, 573, 576, 568
4072, 839, 593, 591, 592
4073, 839, 583, 570, 273
4074, 272, 571, 594, 115
4075, 563, 261, 840, 569
4076, 24, 834, 64, 488
4077, 427, 21, 277, 588
4078, 280, 593, 591, 580
4079, 839, 571, 594, 586
4080, 833, 576, 837, 834
4081, 836, 579, 583, 585
4082, 576, 568, 269, 572
4083, 271, 266, 109, 567
4084, 590, 839, 840, 567
4085, 117, 280, 591, 580
4086, 582, 839, 580, 583
4087, 265, 834, 64, 589
4088, 839, 582, 585, 583
4089, 274, 579, 570, 275
4090, 834, 576, 837, 577
4091, 839, 836, 583, 585
4092, 839, 583, 273, 586
4093, 839, 580, 583, 586
4094, 839, 571, 570, 566
4095, 427, 21, 160, 277
4096, 571, 839, 570, 273
4097, 261, 563, 840, 564
4098, 271, 590, 566, 115
4099, 594, 279, 281, 586
4100, 573, 277, 584, 577
4101, 424, 835, 175, 426
4102, 582, 593, 280, 580
4103, 839, 66, 840, 488
4104, 840, 563, 270, 578
4105, 834, 424, 24, 425
4106, 563, 562, 840, 564
4107, 836, 568, 570, 275
4108, 839, 580, 281, 591
4109, 839, 594, 281, 586
4110, 834, 577, 838, 575
4111, 424, 834, 835, 838
4112, 839, 590, 840, 66
4113, 177, 574, 834, 425
4114, 590, 266, 840, 66
4115, 114, 279, 594, 586
4116, 425, 834, 838, 575
4117, 168, 582, 426, 175
4118, 427, 277, 160, 575
4119, 591, 839, 592, 281
4120, 579, 836, 570, 275
4121, 840, 562, 265, 64
4122, 271, 590, 567, 566
4123, 571, 566, 594, 115
4124, 266, 840, 564, 567
4125, 573, 584, 837, 577
4126, 571, 114, 586, 273
4127, 562, 263, 840, 578
4128, 574, 177, 834, 589
4129, 65, 590, 488, 66
4130, 838, 835, 426, 581
4131, 840, 834, 64, 265
4132, 834, 837, 835, 838
4133, 177, 574, 20, 278
4134, 277, 584, 838, 588
4135, 427, 425, 838, 575
4136, 113, 587, 275, 568
4137, 588, 167, 581, 426
4138, 583, 274, 570, 273
4139, 116, 839, 566, 594
4140, 566, 116, 594, 115
4141, 571, 114, 594, 586
4142, 582, 835, 426, 175
4143, 167, 168, 581, 426
4144, 839, 833, 840, 567
4145, 585, 837, 581, 835
4146, 563, 569, 840, 270
4147, 574, 110, 278, 589
4148, 569, 563, 108, 270
4149, 837, 584, 581, 838
4150, 177, 574, 278, 589
4151, 584, 579, 837, 585
4152, 424, 834, 24, 488
4153, 23, 424, 24, 488
4154, 569, 833, 840, 572
4155, 580, 117, 281, 591
4156, 569, 840, 270, 572
4157, 261, 563, 108, 569
4158, 110, 574, 265, 589
4159, 582, 839, 585, 835
4160, 116, 590, 839, 592
4161, 424, 23, 592, 835
4162, 833, 565, 572, 569
4163, 835, 593, 592, 175
4164, 565, 833, 572, 568
4165, 427, 167, 21, 588
4166, 834, 24, 64, 589
4167, 834, 177, 24, 589
4168, 833, 587, 836, 837
4169, 263, 562, 110, 578
4170, 839, 116, 592, 281
4171, 590, 839, 488, 66
4172, 168, 582, 175, 22
4173, 424, 835, 592, 175
4174, 116, 65, 590, 592
4175, 114, 571, 594, 272
4176, 427, 425, 426, 838
4177, 590, 116, 566, 115
4178, 425, 424, 426, 838
4179, 835, 837, 581, 838
4180, 116, 839, 594, 281
4181, 576, 833, 568, 572
4182, 117, 580, 281, 586
4183, 835, 582, 426, 581
4184, 279, 117, 281, 586
4185, 565, 839, 570, 566
4186, 274, 579, 583, 570
4187, 836, 839, 583, 570
4188, 271, 266, 567, 590
4189, 839, 590, 566, 567
4190, 266, 109, 567, 564
4191, 571, 839, 273, 586
4192, 565, 839, 566, 567
4193, 427, 588, 838, 426
4194, 425, 575, 160, 20
4195, 573, 277, 276, 584
4196, 593, 582, 175, 835
4197, 574, 177, 20, 575
4198, 277, 427, 838, 575
4199, 593, 582, 280, 22
4200, 838, 588, 581, 426
4201, 578, 270, 572, 576
4202, 572, 270, 578, 840
4203, 572, 833, 578, 576
4204, 578, 833, 572, 840
4205, 836, 585, 837, 579
4206, 837, 585, 836, 835
4207, 835, 833, 488, 839
4208, 835, 488, 833, 834
4209, 840, 488, 833, 839
4210, 840, 833, 488, 834
4211, 567, 833, 569, 565
4212, 567, 569, 833, 840
4213, 840, 261, 567, 569
4214, 840, 567, 261, 564
4215, 65, 220, 839, 592
4216, 65, 839, 220, 488
4217, 839, 220, 835, 592
4218, 839, 835, 220, 488
4219, 835, 220, 23, 592
4220, 835, 23, 220, 488
4221, 836, 275, 587, 568
4222, 587, 275, 836, 579
4223, 265, 578, 834, 574
4224, 265, 840, 578, 562
4225, 265, 578, 840, 834
4226, 580, 593, 839, 582
4227, 580, 839, 593, 591
4228, 839, 833, 565, 836
4229, 839, 565, 833, 567
4230, 600, 282, 596, 25
4231, 194, 235, 512, 444
4232, 598, 537, 444, 536
4233, 26, 596, 25, 444
4234, 282, 598, 596, 118
4235, 249, 595, 597, 538
4236, 538, 443, 597, 599
4237, 95, 249, 597, 538
4238, 595, 443, 249, 30
4239, 283, 598, 119, 596
4240, 443, 595, 191, 30
4241, 95, 595, 597, 249
4242, 538, 599, 253, 537
4243, 599, 538, 253, 597
4244, 191, 35, 230, 512
4245, 597, 236, 512, 76
4246, 34, 194, 444, 235
4247, 599, 236, 512, 597
4248, 283, 252, 598, 536
4249, 595, 443, 512, 597
4250, 600, 34, 25, 444
4251, 193, 443, 537, 444
4252, 600, 34, 444, 235
4253, 95, 538, 597, 253
4254, 595, 597, 512, 76
4255, 598, 283, 536, 596
4256, 598, 600, 596, 444
4257, 443, 538, 30, 193
4258, 443, 595, 249, 538
4259, 599, 94, 253, 537
4260, 443, 599, 537, 444
4261, 598, 600, 235, 78
4262, 537, 599, 598, 444
4263, 600, 34, 235, 78
4264, 443, 249, 30, 538
4265, 35, 194, 512, 443
4266, 443, 599, 512, 597
4267, 85, 283, 596, 536
4268, 598, 600, 444, 235
4269, 86, 252, 283, 536
4270, 194, 443, 444, 512
4271, 94, 252, 536, 598
4272, 538, 443, 537, 193
4273, 283, 86, 536, 85
4274, 235, 599, 512, 444
4275, 86, 243, 536, 85
4276, 443, 599, 444, 512
4277, 595, 443, 597, 538
4278, 598, 119, 596, 118
4279, 443, 538, 537, 599
4280, 284, 600, 282, 598
4281, 595, 95, 597, 76
4282, 236, 599, 512, 235
4283, 537, 193, 444, 29
4284, 252, 283, 598, 119
4285, 284, 600, 598, 78
4286, 94, 252, 598, 119
4287, 599, 598, 444, 235
4288, 443, 35, 191, 512
4289, 595, 512, 230, 76
4290, 596, 600, 25, 444
4291, 598, 536, 444, 596
4292, 536, 537, 444, 29
4293, 284, 598, 282, 118
4294, 600, 598, 596, 282
4295, 191, 512, 595, 443
4296, 595, 512, 191, 230
4297, 598, 537, 94, 599
4298, 598, 94, 537, 536
4299, 29, 243, 444, 536
4300, 444, 243, 29, 26
4301, 243, 596, 444, 536
4302, 444, 596, 243, 26
4303, 243, 85, 596, 536
4304, 596, 85, 243, 26
4305, 555, 103, 59, 604
4306, 605, 120, 121, 289
4307, 590, 66, 65, 59
4308, 605, 289, 121, 604
4309, 555, 266, 109, 602
4310, 590, 290, 65, 116
4311, 590, 606, 290, 116
4312, 590, 115, 606, 116
4313, 603, 61, 604, 290
4314, 605, 555, 104, 285
4315, 286, 122, 601, 606
4316, 590, 65, 604, 59
4317, 555, 66, 590, 59
4318, 121, 289, 288, 604
4319, 603, 289, 288, 124
4320, 61, 603, 287, 290
4321, 122, 602, 601, 606
4322, 555, 266, 602, 590
4323, 103, 605, 121, 604
4324, 602, 555, 104, 109
4325, 602, 605, 604, 606
4326, 555, 602, 104, 285
4327, 289, 603, 290, 124
4328, 65, 61, 604, 59
4329, 590, 271, 601, 115
4330, 289, 603, 288, 604
4331, 602, 590, 271, 601
4332, 590, 602, 606, 601
4333, 555, 590, 604, 59
4334, 605, 555, 604, 103
4335, 605, 289, 604, 606
4336, 266, 602, 590, 271
4337, 603, 123, 290, 124
4338, 605, 555, 103, 104
4339, 123, 603, 290, 287
4340, 590, 602, 604, 606
4341, 115, 286, 601, 606
4342, 602, 266, 109, 271
4343, 602, 555, 605, 285
4344, 555, 602, 605, 604
4345, 289, 606, 290, 604
4346, 590, 115, 601, 606
4347, 555, 66, 266, 590
4348, 605, 602, 285, 120
4349, 606, 590, 290, 604
4350, 602, 555, 590, 604
4351, 603, 289, 290, 604
4352, 65, 604, 290, 590
4353, 65, 290, 604, 61
4354, 122, 606, 120, 602
4355, 122, 120, 606, 289
4356, 605, 120, 606, 602
4357, 605, 606, 120, 289
4358, 408, 407, 175, 593
4359, 591, 117, 281, 610
4360, 591, 607, 610, 593
4361, 11, 608, 292, 172
4362, 11, 92, 292, 608
4363, 238, 487, 611, 523
4364, 592, 487, 408, 608
4365, 610, 612, 592, 608
4366, 220, 592, 408, 23
4367, 22, 407, 169, 593
4368, 220, 23, 408, 174
4369, 487, 220, 408, 174
4370, 609, 407, 610, 607
4371, 123, 238, 287, 611
4372, 591, 117, 291, 280
4373, 612, 487, 608, 611
4374, 612, 290, 65, 61
4375, 407, 22, 175, 593
4376, 612, 591, 610, 592
4377, 591, 612, 281, 592
4378, 608, 613, 292, 172
4379, 612, 487, 592, 608
4380, 117, 591, 291, 610
4381, 610, 591, 593, 592
4382, 487, 608, 611, 523
4383, 238, 89, 245, 611
4384, 609, 610, 408, 608
4385, 487, 63, 221, 523
4386, 609, 125, 613, 607
4387, 63, 238, 523, 487
4388, 287, 290, 611, 61
4389, 607, 591, 291, 280
4390, 592, 23, 175, 408
4391, 11, 608, 409, 523
4392, 613, 609, 608, 292
4393, 220, 487, 408, 592
4394, 221, 174, 409, 6
4395, 608, 408, 409, 523
4396, 612, 487, 611, 61
4397, 407, 609, 613, 607
4398, 92, 11, 523, 608
4399, 245, 92, 523, 608
4400, 591, 612, 610, 281
4401, 290, 612, 611, 61
4402, 612, 592, 65, 116
4403, 612, 281, 592, 116
4404, 125, 609, 291, 607
4405, 174, 487, 409, 408
4406, 408, 608, 409, 172
4407, 607, 609, 291, 610
4408, 591, 607, 291, 610
4409, 290, 123, 287, 611
4410, 607, 407, 610, 593
4411, 11, 173, 523, 409
4412, 238, 245, 523, 611
4413, 608, 11, 409, 172
4414, 487, 220, 65, 592
4415, 245, 608, 523, 611
4416, 609, 407, 408, 610
4417, 408, 487, 523, 608
4418, 612, 487, 65, 592
4419, 487, 612, 65, 61
4420, 221, 173, 409, 523
4421, 610, 592, 408, 608
4422, 613, 407, 12, 172
4423, 407, 607, 12, 169
4424, 125, 607, 12, 613
4425, 487, 174, 409, 221
4426, 592, 408, 175, 593
4427, 487, 221, 409, 523
4428, 173, 221, 409, 6
4429, 89, 238, 123, 611
4430, 607, 591, 280, 593
4431, 22, 607, 280, 593
4432, 609, 125, 292, 613
4433, 408, 487, 409, 523
4434, 290, 612, 65, 116
4435, 607, 407, 12, 613
4436, 607, 22, 169, 593
4437, 238, 63, 61, 487
4438, 407, 607, 169, 593
4439, 608, 613, 408, 609
4440, 608, 408, 613, 172
4441, 407, 408, 613, 609
4442, 407, 613, 408, 172
4443, 593, 408, 610, 592
4444, 593, 610, 408, 407
4445, 61, 611, 238, 487
4446, 61, 238, 611, 287
4447, 553, 614, 107, 40
4448, 553, 102, 614, 70
4449, 73, 74, 553, 112
4450, 48, 553, 615, 112
4451, 222, 553, 67, 70
4452, 74, 48, 615, 112
4453, 126, 102, 67, 614
4454, 553, 74, 615, 112
4455, 614, 102, 67, 70
4456, 614, 553, 67, 615
4457, 47, 43, 615, 48
4458, 126, 43, 614, 615
4459, 48, 43, 614, 40
4460, 48, 43, 615, 614
4461, 553, 222, 67, 615
4462, 222, 74, 67, 615
4463, 102, 553, 614, 107
4464, 74, 222, 553, 615
4465, 222, 73, 74, 553
4466, 553, 48, 615, 614
4467, 48, 553, 112, 107
4468, 74, 47, 615, 48
4469, 126, 614, 67, 615
4470, 553, 614, 67, 70
4471, 553, 48, 614, 40
4472, 48, 553, 107, 40
4473, 556, 219, 59, 485
4474, 239, 618, 90, 517
4475, 238, 89, 603, 517
4476, 70, 218, 556, 67
4477, 556, 218, 219, 485
4478, 604, 617, 121, 616
4479, 618, 603, 288, 124
4480, 516, 238, 63, 61
4481, 603, 516, 485, 61
4482, 238, 516, 603, 61
4483, 516, 617, 616, 517
4484, 516, 218, 485, 62
4485, 123, 89, 603, 238
4486, 617, 618, 517, 603
4487, 604, 102, 126, 103
4488, 126, 604, 103, 121
4489, 604, 617, 616, 516
4490, 126, 616, 121, 127
4491, 102, 70, 556, 67
4492, 126, 604, 121, 616
4493, 238, 287, 61, 603
4494, 516, 62, 485, 63
4495, 89, 123, 603, 124
4496, 618, 89, 603, 124
4497, 218, 556, 219, 60
4498, 616, 617, 121, 127
4499, 618, 617, 288, 603
4500, 89, 618, 90, 124
4501, 618, 89, 90, 517
4502, 516, 218, 616, 485
4503, 604, 556, 59, 485
4504, 218, 516, 616, 68
4505, 67, 218, 616, 68
4506, 604, 516, 616, 485
4507, 293, 617, 616, 127
4508, 287, 123, 603, 238
4509, 102, 604, 556, 103
4510, 556, 218, 485, 616
4511, 617, 239, 517, 618
4512, 604, 617, 288, 121
4513, 604, 556, 485, 616
4514, 617, 237, 616, 517
4515, 516, 63, 485, 61
4516, 556, 604, 126, 616
4517, 102, 556, 126, 67
4518, 102, 604, 126, 556
4519, 604, 617, 517, 603
4520, 617, 604, 517, 516
4521, 516, 604, 517, 603
4522, 67, 556, 126, 616
4523, 237, 617, 616, 293
4524, 218, 556, 67, 616
4525, 617, 239, 87, 517
4526, 604, 603, 485, 61
4527, 516, 237, 616, 68
4528, 556, 604, 59, 103
4529, 218, 516, 68, 62
4530, 237, 516, 616, 517
4531, 617, 604, 288, 603
4532, 293, 617, 87, 517
4533, 604, 516, 485, 603
4534, 604, 485, 59, 61
4535, 516, 238, 603, 517
4536, 89, 618, 603, 517
4537, 218, 70, 556, 60
4538, 237, 293, 87, 517
4539, 237, 617, 293, 517
4540, 624, 631, 847, 848
4541, 297, 844, 623, 632
4542, 308, 130, 643, 843
4543, 629, 474, 847, 208
4544, 637, 306, 845, 650
4545, 626, 629, 475, 847
4546, 640, 299, 639, 625
4547, 842, 844, 841, 847
4548, 492, 842, 58, 214
4549, 631, 844, 632, 625
4550, 51, 130, 843, 71
4551, 133, 295, 638, 621
4552, 631, 622, 844, 846
4553, 303, 81, 627, 84
4554, 624, 629, 626, 847
4555, 846, 635, 628, 296
4556, 846, 634, 636, 845
4557, 308, 646, 843, 643
4558, 51, 843, 130, 648
4559, 297, 632, 298, 129
4560, 268, 842, 58, 112
4561, 651, 846, 305, 845
4562, 650, 637, 843, 845
4563, 631, 846, 628, 296
4564, 624, 848, 845, 628
4565, 629, 204, 475, 208
4566, 651, 306, 636, 305
4567, 624, 628, 845, 634
4568, 631, 624, 847, 625
4569, 637, 306, 636, 845
4570, 846, 622, 621, 296
4571, 640, 639, 847, 625
4572, 843, 644, 309, 645
4573, 492, 848, 643, 71
4574, 842, 268, 641, 112
4575, 848, 650, 843, 845
4576, 83, 81, 627, 82
4577, 492, 848, 74, 847
4578, 648, 50, 626, 304
4579, 74, 48, 641, 847
4580, 83, 304, 647, 627
4581, 624, 848, 843, 845
4582, 642, 842, 623, 111
4583, 303, 637, 302, 630
4584, 846, 619, 649, 621
4585, 303, 81, 307, 627
4586, 650, 848, 841, 845
4587, 651, 650, 841, 845
4588, 848, 846, 841, 845
4589, 622, 846, 619, 841
4590, 216, 56, 649, 482
4591, 846, 651, 841, 845
4592, 619, 846, 649, 841
4593, 643, 848, 843, 71
4594, 216, 651, 57, 841
4595, 481, 620, 211, 482
4596, 630, 637, 302, 634
4597, 48, 74, 641, 112
4598, 635, 128, 638, 301
4599, 640, 629, 49, 299
4600, 628, 846, 845, 634
4601, 651, 216, 649, 841
4602, 642, 842, 844, 623
4603, 633, 647, 304, 627
4604, 844, 622, 623, 841
4605, 846, 305, 621, 649
4606, 131, 308, 644, 843
4607, 626, 633, 843, 648
4608, 268, 620, 842, 111
4609, 308, 131, 130, 843
4610, 297, 631, 622, 844
4611, 624, 626, 848, 847
4612, 204, 629, 475, 626
4613, 842, 844, 847, 639
4614, 630, 624, 845, 634
4615, 848, 492, 74, 71
4616, 483, 216, 57, 841
4617, 624, 629, 847, 625
4618, 842, 492, 847, 841
4619, 637, 303, 307, 843
4620, 622, 844, 846, 841
4621, 639, 844, 847, 625
4622, 626, 624, 848, 843
4623, 210, 51, 648, 475
4624, 474, 629, 475, 208
4625, 629, 640, 847, 625
4626, 214, 842, 483, 841
4627, 844, 642, 632, 300
4628, 631, 297, 632, 844
4629, 620, 481, 841, 482
4630, 268, 642, 842, 639
4631, 842, 639, 847, 641
4632, 492, 842, 214, 841
4633, 620, 619, 211, 482
4634, 131, 644, 309, 843
4635, 49, 629, 208, 204
4636, 846, 305, 636, 638
4637, 483, 216, 841, 482
4638, 631, 622, 846, 296
4639, 842, 620, 481, 841
4640, 111, 642, 298, 623
4641, 848, 846, 845, 628
4642, 492, 848, 841, 650
4643, 635, 295, 638, 128
4644, 637, 630, 845, 634
4645, 639, 640, 847, 641
4646, 632, 642, 298, 129
4647, 626, 210, 475, 50
4648, 648, 50, 210, 626
4649, 306, 651, 636, 845
4650, 648, 131, 309, 843
4651, 642, 842, 639, 844
4652, 633, 647, 627, 843
4653, 303, 307, 843, 627
4654, 642, 632, 300, 129
4655, 651, 846, 649, 305
4656, 633, 647, 648, 304
4657, 204, 626, 475, 50
4658, 306, 637, 134, 650
4659, 646, 650, 132, 134
4660, 642, 268, 842, 111
4661, 216, 841, 482, 649
4662, 642, 844, 632, 298
4663, 846, 651, 649, 841
4664, 842, 620, 623, 111
4665, 268, 620, 111, 215
4666, 214, 483, 57, 841
4667, 56, 619, 649, 482
4668, 648, 626, 475, 843
4669, 848, 650, 643, 843
4670, 631, 844, 848, 846
4671, 645, 82, 647, 627
4672, 650, 646, 643, 843
4673, 633, 624, 843, 630
4674, 51, 648, 475, 843
4675, 474, 51, 475, 843
4676, 844, 848, 841, 847
4677, 846, 622, 619, 621
4678, 639, 844, 625, 300
4679, 844, 632, 625, 300
4680, 635, 846, 301, 638
4681, 640, 629, 847, 208
4682, 81, 83, 627, 84
4683, 842, 620, 215, 481
4684, 128, 635, 621, 296
4685, 295, 635, 621, 128
4686, 306, 651, 845, 650
4687, 133, 294, 621, 649
4688, 846, 635, 301, 628
4689, 492, 848, 847, 841
4690, 619, 620, 623, 841
4691, 268, 620, 215, 842
4692, 492, 72, 71, 643
4693, 72, 650, 132, 643
4694, 619, 620, 841, 482
4695, 481, 483, 841, 482
4696, 640, 629, 299, 625
4697, 481, 842, 841, 483
4698, 846, 305, 845, 636
4699, 305, 133, 621, 649
4700, 642, 844, 639, 300
4701, 635, 846, 621, 296
4702, 492, 214, 57, 841
4703, 650, 651, 841, 57
4704, 619, 294, 649, 621
4705, 299, 639, 625, 300
4706, 845, 634, 636, 302
4707, 630, 633, 627, 843
4708, 650, 646, 132, 643
4709, 846, 301, 636, 634
4710, 72, 492, 57, 650
4711, 646, 308, 132, 643
4712, 637, 845, 636, 302
4713, 622, 297, 844, 623
4714, 633, 624, 626, 843
4715, 481, 842, 483, 215
4716, 846, 305, 638, 621
4717, 626, 210, 648, 475
4718, 637, 630, 843, 845
4719, 650, 637, 134, 843
4720, 646, 650, 134, 843
4721, 842, 268, 58, 215
4722, 633, 647, 843, 648
4723, 842, 58, 483, 215
4724, 637, 634, 845, 302
4725, 846, 635, 621, 638
4726, 83, 82, 627, 647
4727, 651, 305, 636, 845
4728, 635, 295, 621, 638
4729, 634, 301, 636, 302
4730, 844, 846, 841, 848
4731, 305, 133, 638, 621
4732, 642, 844, 298, 623
4733, 620, 481, 211, 55
4734, 648, 843, 309, 647
4735, 304, 633, 626, 648
4736, 56, 294, 649, 619
4737, 640, 629, 208, 49
4738, 846, 301, 634, 628
4739, 81, 82, 645, 627
4740, 303, 637, 630, 843
4741, 644, 646, 307, 843
4742, 848, 492, 643, 650
4743, 492, 72, 643, 650
4744, 307, 81, 645, 627
4745, 131, 648, 130, 843
4746, 631, 844, 847, 848
4747, 641, 640, 847, 208
4748, 308, 644, 843, 646
4749, 844, 631, 847, 625
4750, 842, 268, 639, 641
4751, 622, 619, 623, 841
4752, 130, 643, 843, 71
4753, 309, 82, 647, 645
4754, 492, 650, 841, 57
4755, 843, 309, 647, 645
4756, 620, 842, 623, 841
4757, 301, 846, 636, 638
4758, 842, 844, 623, 841
4759, 843, 645, 647, 627
4760, 630, 624, 843, 845
4761, 843, 307, 645, 627
4762, 842, 58, 214, 483
4763, 620, 111, 215, 55
4764, 644, 307, 645, 843
4765, 303, 630, 627, 843
4766, 481, 620, 215, 55
4767, 841, 619, 482, 649
4768, 56, 619, 482, 211
4769, 631, 846, 848, 628
4770, 624, 631, 848, 628
4771, 297, 631, 296, 622
4772, 629, 474, 475, 847
4773, 632, 844, 623, 298
4774, 297, 632, 623, 298
4775, 47, 48, 847, 474
4776, 47, 847, 48, 74
4777, 848, 47, 847, 474
4778, 848, 847, 47, 74
4779, 71, 848, 47, 74
4780, 847, 48, 208, 474
4781, 847, 208, 48, 641
4782, 112, 842, 847, 641
4783, 112, 58, 847, 842
4784, 492, 847, 58, 842
4785, 847, 475, 848, 474
4786, 847, 848, 475, 626
4787, 843, 848, 475, 474
4788, 843, 475, 848, 626
4789, 843, 134, 307, 637
4790, 843, 307, 134, 646
4791, 848, 47, 843, 71
4792, 848, 843, 47, 474
4793, 51, 843, 47, 71
4794, 51, 47, 843, 474
4795, 74, 112, 847, 641
4796, 73, 74, 847, 492
4797, 847, 74, 73, 112
4798, 847, 58, 73, 492
4799, 73, 58, 847, 112
4800, 660, 318, 653, 658
4801, 316, 652, 313, 656
4802, 255, 542, 659, 849
4803, 288, 618, 664, 617
4804, 663, 288, 664, 617
4805, 666, 663, 665, 850
4806, 96, 316, 656, 661
4807, 318, 660, 137, 658
4808, 256, 657, 662, 541
4809, 542, 99, 255, 659
4810, 850, 659, 137, 254
4811, 850, 654, 653, 315
4812, 659, 99, 137, 254
4813, 660, 850, 137, 658
4814, 652, 849, 661, 312
4815, 542, 255, 541, 849
4816, 314, 652, 662, 138
4817, 256, 662, 849, 541
4818, 652, 317, 662, 138
4819, 652, 317, 138, 313
4820, 655, 311, 659, 312
4821, 654, 663, 122, 315
4822, 657, 662, 541, 849
4823, 655, 311, 850, 659
4824, 663, 850, 664, 665
4825, 526, 617, 87, 293
4826, 663, 121, 654, 289
4827, 850, 542, 849, 659
4828, 289, 663, 288, 664
4829, 666, 655, 849, 662
4830, 663, 666, 315, 850
4831, 850, 655, 659, 849
4832, 666, 655, 315, 850
4833, 316, 652, 135, 313
4834, 655, 666, 315, 314
4835, 655, 850, 653, 315
4836, 311, 660, 850, 659
4837, 850, 663, 654, 315
4838, 121, 663, 288, 289
4839, 666, 655, 662, 314
4840, 652, 655, 849, 312
4841, 239, 618, 617, 664
4842, 850, 663, 664, 617
4843, 526, 665, 91, 246
4844, 652, 316, 135, 661
4845, 654, 289, 120, 122
4846, 652, 317, 656, 662
4847, 660, 311, 653, 136
4848, 663, 850, 654, 658
4849, 850, 660, 653, 658
4850, 850, 127, 137, 658
4851, 542, 850, 254, 659
4852, 318, 310, 653, 658
4853, 618, 124, 288, 664
4854, 663, 121, 288, 617
4855, 850, 127, 658, 617
4856, 317, 657, 662, 100
4857, 526, 665, 246, 664
4858, 127, 850, 137, 254
4859, 665, 850, 664, 617
4860, 656, 652, 849, 661
4861, 239, 526, 246, 664
4862, 99, 542, 254, 659
4863, 850, 542, 254, 540
4864, 662, 657, 656, 849
4865, 657, 256, 662, 100
4866, 311, 660, 653, 850
4867, 652, 317, 313, 656
4868, 121, 663, 654, 658
4869, 657, 247, 541, 100
4870, 256, 657, 541, 100
4871, 121, 289, 120, 654
4872, 654, 850, 653, 658
4873, 127, 121, 658, 617
4874, 665, 526, 293, 617
4875, 655, 311, 653, 850
4876, 665, 526, 91, 241
4877, 665, 241, 91, 540
4878, 542, 850, 665, 540
4879, 659, 255, 849, 661
4880, 317, 657, 656, 662
4881, 655, 652, 849, 662
4882, 316, 652, 656, 661
4883, 127, 850, 293, 617
4884, 850, 665, 293, 617
4885, 239, 90, 664, 246
4886, 314, 655, 662, 652
4887, 124, 289, 288, 664
4888, 90, 239, 664, 618
4889, 654, 121, 658, 120
4890, 256, 665, 91, 540
4891, 256, 542, 665, 540
4892, 88, 526, 87, 293
4893, 850, 127, 293, 254
4894, 660, 850, 659, 137
4895, 654, 120, 658, 310
4896, 652, 135, 312, 661
4897, 256, 666, 849, 662
4898, 96, 247, 541, 656
4899, 662, 652, 849, 656
4900, 310, 654, 653, 658
4901, 655, 666, 849, 850
4902, 90, 124, 618, 664
4903, 96, 541, 849, 656
4904, 542, 256, 849, 541
4905, 850, 542, 665, 849
4906, 666, 850, 665, 849
4907, 542, 256, 665, 849
4908, 256, 666, 665, 849
4909, 289, 663, 122, 654
4910, 526, 239, 87, 617
4911, 96, 656, 849, 661
4912, 658, 663, 617, 121
4913, 658, 617, 663, 850
4914, 241, 88, 665, 526
4915, 241, 665, 88, 540
4916, 293, 665, 88, 526
4917, 849, 96, 255, 541
4918, 849, 255, 96, 661
4919, 318, 653, 136, 660
4920, 318, 136, 653, 310
4921, 664, 526, 617, 239
4922, 664, 617, 526, 665
4923, 312, 849, 659, 655
4924, 312, 659, 849, 661
4925, 656, 541, 657, 247
4926, 656, 657, 541, 849
4927, 665, 88, 850, 293
4928, 665, 850, 88, 540
4929, 254, 850, 88, 293
4930, 254, 88, 850, 540
4931, 419, 165, 690, 166
4932, 674, 856, 676, 675
4933, 187, 452, 670, 15
4934, 860, 856, 676, 692
4935, 92, 527, 864, 695
4936, 674, 140, 698, 326
4937, 860, 856, 687, 681
4938, 864, 244, 544, 857
4939, 447, 864, 544, 857
4940, 448, 447, 857, 858
4941, 447, 244, 544, 864
4942, 292, 696, 683, 328
4943, 676, 852, 692, 324
4944, 863, 685, 417, 682
4945, 667, 321, 855, 686
4946, 864, 860, 695, 857
4947, 180, 181, 865, 416
4948, 452, 449, 187, 855
4949, 856, 860, 687, 692
4950, 864, 453, 862, 858
4951, 860, 856, 695, 857
4952, 674, 856, 675, 857
4953, 325, 856, 698, 684
4954, 861, 686, 854, 855
4955, 852, 689, 691, 692
4956, 861, 693, 692, 691
4957, 856, 694, 695, 857
4958, 682, 125, 12, 613
4959, 19, 418, 11, 527
4960, 19, 418, 451, 181
4961, 675, 676, 673, 858
4962, 863, 693, 681, 860
4963, 527, 447, 244, 28
4964, 674, 325, 676, 856
4965, 11, 863, 417, 172
4966, 329, 696, 684, 698
4967, 325, 698, 856, 674
4968, 696, 856, 698, 694
4969, 420, 419, 855, 421
4970, 853, 852, 858, 673
4971, 685, 863, 417, 419
4972, 418, 863, 11, 527
4973, 325, 856, 684, 687
4974, 864, 451, 862, 453
4975, 669, 449, 854, 187
4976, 854, 667, 670, 855
4977, 689, 852, 323, 692
4978, 852, 689, 861, 691
4979, 672, 188, 320, 450
4980, 27, 672, 320, 450
4981, 682, 164, 417, 172
4982, 863, 859, 861, 862
4983, 689, 668, 677, 851
4984, 863, 92, 11, 527
4985, 685, 419, 165, 690
4986, 859, 863, 861, 693
4987, 696, 683, 328, 684
4988, 682, 863, 172, 417
4989, 676, 856, 687, 692
4990, 678, 852, 676, 324
4991, 181, 180, 865, 452
4992, 686, 321, 855, 688
4993, 667, 321, 686, 322
4994, 449, 452, 865, 855
4995, 853, 852, 862, 858
4996, 453, 853, 450, 862
4997, 420, 153, 421, 855
4998, 188, 27, 320, 450
4999, 325, 676, 687, 324
5000, 668, 689, 854, 851
5001, 671, 680, 673, 858
5002, 859, 686, 861, 855
5003, 420, 452, 670, 855
5004, 125, 682, 683, 613
5005, 672, 669, 851, 320
5006, 667, 321, 670, 855
5007, 859, 863, 419, 416
5008, 139, 689, 677, 323
5009, 678, 853, 672, 673
5010, 668, 319, 677, 851
5011, 689, 139, 677, 668
5012, 449, 453, 450, 862
5013, 419, 690, 855, 421
5014, 854, 669, 851, 862
5015, 153, 421, 855, 688
5016, 859, 419, 855, 420
5017, 92, 863, 864, 527
5018, 861, 859, 855, 862
5019, 92, 863, 11, 292
5020, 321, 153, 670, 855
5021, 527, 92, 93, 695
5022, 421, 153, 10, 688
5023, 852, 678, 673, 853
5024, 860, 687, 692, 681
5025, 685, 419, 417, 165
5026, 864, 527, 857, 695
5027, 860, 852, 692, 676
5028, 679, 857, 680, 250
5029, 448, 198, 680, 857
5030, 12, 682, 613, 172
5031, 180, 452, 420, 865
5032, 860, 864, 862, 858
5033, 679, 675, 680, 857
5034, 198, 544, 250, 680
5035, 863, 864, 865, 862
5036, 198, 857, 544, 680
5037, 292, 125, 683, 613
5038, 164, 685, 417, 165
5039, 187, 854, 670, 855
5040, 697, 679, 258, 857
5041, 683, 856, 687, 684
5042, 679, 697, 101, 327
5043, 856, 674, 698, 694
5044, 696, 856, 683, 684
5045, 857, 697, 695, 258
5046, 669, 853, 851, 862
5047, 447, 864, 857, 858
5048, 447, 527, 244, 864
5049, 693, 863, 861, 860
5050, 854, 861, 855, 862
5051, 418, 863, 527, 864
5052, 188, 672, 669, 450
5053, 418, 19, 197, 527
5054, 853, 454, 450, 672
5055, 451, 449, 862, 453
5056, 671, 448, 680, 858
5057, 852, 861, 692, 691
5058, 319, 668, 669, 851
5059, 672, 320, 851, 677
5060, 451, 181, 865, 452
5061, 667, 669, 854, 187
5062, 860, 863, 861, 862
5063, 244, 527, 93, 695
5064, 244, 527, 857, 864
5065, 863, 292, 683, 682
5066, 125, 292, 683, 328
5067, 319, 669, 677, 851
5068, 418, 451, 181, 865
5069, 452, 180, 420, 15
5070, 326, 674, 694, 698
5071, 863, 859, 865, 416
5072, 322, 667, 668, 854
5073, 690, 419, 166, 421
5074, 452, 420, 865, 855
5075, 852, 860, 858, 676
5076, 667, 686, 855, 854
5077, 856, 860, 858, 857
5078, 452, 187, 670, 855
5079, 859, 686, 691, 861
5080, 686, 859, 691, 690
5081, 454, 671, 672, 853
5082, 672, 853, 669, 450
5083, 856, 696, 695, 694
5084, 693, 859, 691, 861
5085, 852, 853, 851, 672
5086, 859, 693, 691, 690
5087, 853, 669, 450, 862
5088, 689, 322, 668, 854
5089, 449, 854, 187, 855
5090, 685, 164, 417, 682
5091, 447, 451, 864, 453
5092, 164, 682, 12, 172
5093, 418, 863, 417, 11
5094, 419, 859, 416, 420
5095, 322, 689, 686, 854
5096, 667, 322, 686, 854
5097, 421, 690, 855, 688
5098, 669, 667, 854, 851
5099, 420, 859, 865, 855
5100, 857, 448, 858, 680
5101, 852, 860, 692, 861
5102, 451, 418, 864, 865
5103, 188, 449, 450, 669
5104, 418, 181, 416, 865
5105, 453, 853, 862, 858
5106, 451, 864, 862, 865
5107, 669, 449, 450, 862
5108, 863, 418, 416, 865
5109, 682, 292, 683, 613
5110, 418, 863, 864, 865
5111, 667, 668, 854, 851
5112, 857, 679, 258, 544
5113, 668, 667, 669, 851
5114, 674, 675, 679, 857
5115, 674, 326, 694, 327
5116, 678, 323, 677, 851
5117, 678, 852, 323, 851
5118, 672, 853, 851, 669
5119, 323, 689, 677, 851
5120, 859, 863, 865, 862
5121, 694, 697, 695, 857
5122, 671, 448, 853, 453
5123, 320, 669, 851, 677
5124, 447, 527, 197, 28
5125, 852, 689, 323, 851
5126, 861, 689, 851, 854
5127, 852, 689, 851, 861
5128, 861, 852, 862, 851
5129, 852, 853, 862, 851
5130, 852, 860, 862, 858
5131, 454, 671, 853, 453
5132, 153, 321, 10, 688
5133, 671, 454, 448, 453
5134, 690, 686, 855, 688
5135, 447, 198, 544, 28
5136, 244, 447, 544, 28
5137, 853, 454, 453, 450
5138, 863, 92, 864, 695
5139, 854, 861, 862, 851
5140, 93, 544, 695, 258
5141, 860, 852, 862, 861
5142, 448, 190, 680, 31
5143, 198, 448, 680, 31
5144, 697, 674, 857, 694
5145, 448, 853, 453, 858
5146, 680, 675, 673, 858
5147, 696, 856, 684, 698
5148, 325, 140, 684, 698
5149, 671, 454, 672, 189
5150, 856, 683, 687, 681
5151, 448, 671, 853, 858
5152, 853, 671, 673, 858
5153, 860, 864, 858, 857
5154, 678, 852, 672, 853
5155, 865, 449, 855, 862
5156, 689, 139, 668, 322
5157, 678, 672, 851, 677
5158, 544, 857, 250, 680
5159, 153, 420, 670, 855
5160, 859, 865, 855, 862
5161, 292, 682, 172, 613
5162, 454, 671, 190, 189
5163, 671, 454, 190, 448
5164, 292, 863, 172, 682
5165, 329, 696, 328, 684
5166, 863, 685, 693, 690
5167, 859, 863, 693, 690
5168, 451, 452, 865, 449
5169, 668, 139, 677, 319
5170, 856, 860, 695, 683
5171, 863, 860, 864, 862
5172, 449, 188, 187, 669
5173, 696, 856, 695, 683
5174, 697, 674, 679, 857
5175, 674, 856, 857, 694
5176, 856, 860, 683, 681
5177, 448, 671, 680, 190
5178, 92, 863, 292, 695
5179, 697, 679, 101, 258
5180, 198, 447, 544, 857
5181, 860, 863, 864, 695
5182, 697, 674, 327, 679
5183, 696, 292, 683, 695
5184, 863, 860, 683, 695
5185, 292, 863, 683, 695
5186, 189, 454, 672, 450
5187, 856, 675, 858, 676
5188, 675, 856, 858, 857
5189, 189, 27, 450, 672
5190, 860, 856, 858, 676
5191, 853, 671, 672, 673
5192, 676, 678, 673, 858
5193, 678, 852, 673, 858
5194, 419, 859, 855, 690
5195, 852, 678, 676, 858
5196, 416, 180, 420, 865
5197, 859, 416, 420, 865
5198, 679, 250, 101, 258
5199, 679, 544, 250, 258
5200, 153, 321, 688, 855
5201, 449, 669, 854, 862
5202, 682, 863, 681, 683
5203, 449, 854, 855, 862
5204, 188, 672, 320, 669
5205, 452, 420, 670, 15
5206, 685, 863, 681, 682
5207, 859, 686, 855, 690
5208, 678, 852, 851, 672
5209, 687, 676, 692, 324
5210, 863, 685, 681, 693
5211, 863, 860, 681, 683
5212, 860, 693, 692, 861
5213, 667, 854, 670, 187
5214, 856, 325, 676, 687
5215, 140, 329, 684, 698
5216, 527, 244, 857, 695
5217, 15, 420, 670, 153
5218, 697, 674, 694, 327
5219, 166, 421, 10, 688
5220, 19, 418, 197, 451
5221, 527, 447, 197, 864
5222, 857, 675, 680, 858
5223, 198, 447, 857, 448
5224, 447, 451, 197, 864
5225, 418, 527, 197, 864
5226, 863, 418, 417, 416
5227, 419, 863, 417, 416
5228, 292, 863, 11, 172
5229, 674, 140, 325, 698
5230, 451, 418, 197, 864
5231, 544, 857, 695, 258
5232, 250, 198, 680, 31
5233, 679, 857, 250, 544
5234, 319, 669, 320, 677
5235, 449, 451, 862, 865
5236, 166, 690, 421, 688
5237, 693, 860, 692, 681
5238, 324, 852, 323, 678
5239, 324, 323, 852, 692
5240, 858, 447, 453, 448
5241, 858, 453, 447, 864
5242, 861, 686, 689, 854
5243, 861, 689, 686, 691
5244, 695, 244, 544, 93
5245, 695, 544, 244, 857
5246, 690, 863, 419, 859
5247, 690, 419, 863, 685
5248, 714, 138, 707, 662
5249, 715, 713, 870, 709
5250, 875, 727, 609, 877
5251, 717, 705, 331, 141
5252, 713, 543, 697, 101
5253, 703, 876, 700, 867
5254, 873, 867, 868, 711
5255, 867, 873, 700, 711
5256, 703, 704, 700, 876
5257, 664, 611, 879, 89
5258, 725, 706, 866, 719
5259, 877, 608, 879, 612
5260, 606, 702, 866, 612
5261, 317, 100, 662, 710
5262, 877, 608, 871, 879
5263, 703, 666, 315, 881
5264, 694, 709, 869, 870
5265, 876, 867, 881, 880
5266, 289, 290, 881, 879
5267, 872, 715, 868, 867
5268, 873, 874, 868, 878
5269, 716, 698, 869, 723
5270, 874, 873, 868, 711
5271, 710, 100, 662, 256
5272, 724, 708, 334, 114
5273, 611, 245, 879, 89
5274, 705, 717, 332, 141
5275, 706, 704, 719, 333
5276, 704, 719, 333, 720
5277, 878, 874, 871, 869
5278, 245, 91, 879, 246
5279, 874, 873, 711, 712
5280, 727, 875, 721, 877
5281, 666, 880, 663, 881
5282, 696, 329, 869, 698
5283, 281, 594, 116, 612
5284, 91, 665, 879, 246
5285, 726, 727, 721, 877
5286, 872, 666, 880, 256
5287, 870, 872, 871, 256
5288, 703, 666, 707, 314
5289, 872, 710, 662, 256
5290, 714, 872, 715, 710
5291, 725, 706, 708, 866
5292, 873, 874, 722, 712
5293, 875, 878, 871, 869
5294, 332, 704, 333, 720
5295, 594, 724, 866, 281
5296, 245, 90, 246, 879
5297, 877, 879, 871, 880
5298, 91, 665, 256, 880
5299, 666, 707, 314, 662
5300, 876, 873, 868, 878
5301, 866, 606, 612, 881
5302, 873, 876, 718, 878
5303, 694, 697, 709, 870
5304, 874, 873, 718, 878
5305, 704, 873, 705, 700
5306, 874, 709, 868, 870
5307, 877, 875, 721, 878
5308, 709, 874, 712, 869
5309, 724, 279, 281, 594
5310, 718, 876, 721, 878
5311, 666, 665, 880, 256
5312, 695, 92, 871, 292
5313, 873, 717, 711, 712
5314, 725, 726, 721, 877
5315, 873, 876, 720, 718
5316, 876, 866, 721, 878
5317, 876, 878, 868, 880
5318, 707, 714, 662, 867
5319, 91, 256, 871, 880
5320, 866, 876, 721, 719
5321, 328, 875, 696, 728
5322, 606, 702, 115, 286
5323, 725, 866, 877, 721
5324, 696, 875, 871, 869
5325, 716, 709, 712, 869
5326, 706, 719, 334, 333
5327, 706, 725, 334, 719
5328, 718, 874, 723, 722
5329, 704, 873, 876, 720
5330, 876, 873, 700, 867
5331, 92, 93, 695, 871
5332, 876, 704, 719, 866
5333, 698, 329, 869, 723
5334, 328, 727, 875, 728
5335, 874, 868, 712, 711
5336, 879, 877, 612, 881
5337, 606, 290, 612, 881
5338, 726, 610, 117, 291
5339, 666, 703, 867, 880
5340, 705, 704, 332, 720
5341, 716, 140, 723, 335
5342, 608, 92, 292, 871
5343, 875, 877, 871, 878
5344, 90, 664, 879, 89
5345, 727, 875, 609, 292
5346, 717, 873, 722, 712
5347, 664, 665, 246, 879
5348, 91, 245, 879, 871
5349, 867, 876, 868, 880
5350, 91, 92, 245, 871
5351, 608, 245, 871, 879
5352, 606, 122, 701, 286
5353, 866, 877, 612, 610
5354, 696, 694, 869, 870
5355, 695, 694, 696, 870
5356, 875, 728, 869, 696
5357, 872, 714, 662, 710
5358, 272, 594, 114, 708
5359, 709, 874, 869, 870
5360, 695, 696, 871, 870
5361, 714, 138, 330, 707
5362, 694, 696, 869, 698
5363, 290, 611, 612, 879
5364, 707, 867, 700, 711
5365, 728, 874, 878, 869
5366, 727, 726, 609, 877
5367, 722, 336, 712, 335
5368, 258, 93, 256, 870
5369, 713, 327, 697, 709
5370, 875, 608, 292, 871
5371, 703, 707, 867, 700
5372, 725, 706, 334, 708
5373, 695, 93, 870, 871
5374, 876, 703, 881, 867
5375, 877, 878, 881, 880
5376, 867, 703, 881, 880
5377, 608, 611, 879, 612
5378, 702, 594, 708, 866
5379, 326, 694, 709, 698
5380, 705, 332, 722, 720
5381, 874, 722, 712, 723
5382, 877, 866, 881, 878
5383, 726, 727, 609, 291
5384, 881, 666, 315, 663
5385, 866, 725, 719, 721
5386, 289, 606, 881, 290
5387, 141, 717, 332, 722
5388, 717, 705, 332, 722
5389, 93, 258, 695, 870
5390, 714, 872, 867, 715
5391, 726, 281, 117, 610
5392, 93, 870, 871, 256
5393, 281, 866, 612, 610
5394, 728, 718, 721, 878
5395, 315, 122, 701, 663
5396, 608, 245, 879, 611
5397, 666, 872, 662, 256
5398, 245, 90, 879, 89
5399, 716, 698, 709, 869
5400, 289, 664, 879, 881
5401, 866, 702, 881, 701
5402, 702, 606, 116, 612
5403, 90, 664, 246, 879
5404, 878, 877, 871, 880
5405, 872, 880, 871, 256
5406, 272, 702, 115, 594
5407, 698, 694, 709, 869
5408, 327, 694, 697, 709
5409, 716, 326, 709, 698
5410, 702, 606, 701, 286
5411, 664, 289, 663, 881
5412, 724, 726, 281, 117
5413, 724, 279, 594, 708
5414, 279, 724, 281, 117
5415, 724, 279, 708, 114
5416, 666, 703, 315, 314
5417, 125, 727, 609, 292
5418, 727, 125, 609, 291
5419, 876, 718, 721, 719
5420, 125, 328, 727, 292
5421, 336, 717, 141, 722
5422, 875, 728, 878, 869
5423, 713, 697, 870, 709
5424, 713, 872, 870, 543
5425, 724, 725, 334, 708
5426, 664, 90, 124, 89
5427, 702, 272, 708, 594
5428, 91, 871, 256, 93
5429, 543, 872, 870, 256
5430, 594, 281, 866, 612
5431, 702, 594, 866, 612
5432, 706, 702, 708, 866
5433, 724, 725, 708, 866
5434, 326, 716, 140, 698
5435, 609, 608, 877, 610
5436, 713, 543, 870, 697
5437, 606, 702, 881, 866
5438, 258, 543, 870, 256
5439, 140, 716, 723, 698
5440, 706, 704, 699, 866
5441, 331, 330, 700, 711
5442, 879, 877, 881, 880
5443, 606, 290, 116, 612
5444, 704, 876, 699, 866
5445, 704, 703, 699, 876
5446, 713, 543, 101, 251
5447, 327, 326, 694, 709
5448, 699, 866, 881, 701
5449, 251, 256, 710, 543
5450, 702, 866, 699, 701
5451, 872, 713, 710, 543
5452, 329, 140, 723, 698
5453, 703, 666, 881, 880
5454, 877, 866, 612, 881
5455, 875, 728, 721, 878
5456, 875, 727, 721, 728
5457, 666, 665, 663, 880
5458, 702, 706, 699, 866
5459, 327, 713, 697, 101
5460, 543, 258, 697, 101
5461, 664, 879, 881, 663
5462, 866, 876, 881, 878
5463, 878, 876, 881, 880
5464, 715, 709, 870, 868
5465, 873, 705, 722, 720
5466, 329, 728, 869, 723
5467, 707, 714, 867, 711
5468, 874, 728, 723, 869
5469, 728, 874, 723, 718
5470, 330, 714, 707, 711
5471, 872, 713, 870, 715
5472, 543, 258, 870, 697
5473, 873, 704, 705, 720
5474, 872, 666, 867, 880
5475, 873, 718, 720, 722
5476, 695, 694, 870, 697
5477, 704, 873, 700, 876
5478, 258, 695, 870, 697
5479, 867, 715, 868, 711
5480, 727, 328, 875, 292
5481, 872, 713, 715, 710
5482, 608, 92, 871, 245
5483, 881, 315, 701, 663
5484, 872, 715, 870, 868
5485, 290, 879, 612, 881
5486, 866, 876, 699, 881
5487, 867, 872, 880, 868
5488, 876, 703, 699, 881
5489, 606, 702, 701, 881
5490, 664, 665, 879, 663
5491, 704, 876, 719, 720
5492, 696, 869, 871, 870
5493, 92, 91, 93, 871
5494, 594, 279, 114, 708
5495, 608, 875, 292, 877
5496, 868, 878, 871, 880
5497, 335, 716, 712, 723
5498, 594, 702, 116, 612
5499, 702, 606, 115, 116
5500, 329, 328, 696, 728
5501, 609, 608, 292, 877
5502, 594, 702, 115, 116
5503, 875, 328, 696, 292
5504, 880, 879, 663, 881
5505, 875, 609, 292, 877
5506, 665, 879, 663, 880
5507, 91, 879, 880, 871
5508, 703, 881, 315, 701
5509, 875, 608, 871, 877
5510, 703, 699, 881, 701
5511, 872, 868, 870, 871
5512, 872, 543, 710, 256
5513, 868, 872, 880, 871
5514, 866, 877, 721, 878
5515, 868, 715, 712, 711
5516, 874, 873, 722, 718
5517, 873, 705, 717, 722
5518, 722, 335, 712, 723
5519, 717, 336, 712, 722
5520, 665, 91, 879, 880
5521, 726, 609, 877, 610
5522, 609, 726, 291, 610
5523, 718, 876, 720, 719
5524, 704, 706, 719, 866
5525, 728, 329, 869, 696
5526, 608, 877, 610, 612
5527, 873, 876, 868, 867
5528, 705, 331, 700, 711
5529, 714, 715, 867, 711
5530, 874, 728, 878, 718
5531, 330, 707, 700, 711
5532, 873, 705, 700, 711
5533, 543, 713, 710, 251
5534, 251, 256, 100, 710
5535, 714, 317, 662, 710
5536, 594, 724, 708, 866
5537, 666, 703, 707, 867
5538, 874, 868, 871, 870
5539, 874, 878, 871, 868
5540, 869, 874, 871, 870
5541, 714, 872, 662, 867
5542, 714, 317, 138, 662
5543, 707, 138, 314, 662
5544, 868, 712, 709, 874
5545, 868, 709, 712, 715
5546, 711, 705, 717, 873
5547, 711, 717, 705, 331
5548, 725, 877, 610, 726
5549, 610, 877, 725, 866
5550, 725, 610, 281, 726
5551, 281, 610, 725, 866
5552, 725, 281, 724, 726
5553, 724, 281, 725, 866
5554, 869, 712, 723, 874
5555, 869, 723, 712, 716
5556, 696, 871, 292, 695
5557, 696, 292, 871, 875
5558, 663, 701, 289, 122
5559, 663, 289, 701, 881
5560, 606, 289, 701, 122
5561, 606, 701, 289, 881
5562, 867, 662, 666, 872
5563, 867, 666, 662, 707
5564, 289, 664, 290, 879
5565, 289, 290, 664, 124
5566, 664, 611, 290, 879
5567, 89, 124, 611, 123
5568, 89, 611, 124, 664
5569, 290, 611, 124, 123
5570, 290, 124, 611, 664
5571, 748, 745, 344, 749
5572, 745, 748, 740, 749
5573, 661, 312, 732, 741
5574, 98, 345, 751, 99
5575, 337, 744, 202, 731
5576, 316, 661, 96, 741
5577, 751, 659, 255, 99
5578, 345, 747, 751, 99
5579, 734, 311, 660, 730
5580, 661, 737, 96, 741
5581, 743, 343, 143, 749
5582, 734, 659, 660, 311
5583, 659, 742, 732, 729
5584, 739, 745, 341, 746
5585, 312, 734, 311, 659
5586, 142, 733, 746, 338
5587, 201, 469, 41, 730
5588, 471, 469, 729, 470
5589, 742, 729, 738, 732
5590, 744, 731, 735, 729
5591, 257, 737, 255, 751
5592, 751, 98, 99, 255
5593, 45, 744, 748, 471
5594, 46, 209, 748, 470
5595, 248, 737, 96, 255
5596, 312, 135, 732, 741
5597, 209, 471, 748, 470
5598, 731, 744, 202, 469
5599, 345, 46, 748, 470
5600, 345, 747, 46, 470
5601, 731, 201, 469, 42
5602, 257, 98, 751, 255
5603, 97, 257, 737, 248
5604, 742, 737, 751, 255
5605, 745, 740, 743, 749
5606, 732, 340, 339, 738
5607, 659, 742, 751, 255
5608, 469, 207, 41, 730
5609, 661, 742, 255, 737
5610, 742, 659, 751, 748
5611, 742, 750, 751, 737
5612, 337, 744, 731, 735
5613, 744, 45, 748, 344
5614, 748, 659, 470, 729
5615, 311, 136, 660, 730
5616, 733, 732, 339, 738
5617, 742, 661, 255, 659
5618, 97, 736, 750, 343
5619, 747, 659, 751, 99
5620, 338, 733, 746, 735
5621, 745, 744, 748, 344
5622, 731, 337, 42, 202
5623, 471, 744, 748, 729
5624, 471, 748, 470, 729
5625, 744, 338, 746, 735
5626, 312, 734, 659, 732
5627, 257, 737, 248, 255
5628, 736, 97, 750, 737
5629, 733, 744, 746, 735
5630, 750, 736, 737, 742
5631, 729, 469, 730, 470
5632, 745, 743, 342, 749
5633, 742, 659, 748, 729
5634, 750, 742, 751, 748
5635, 661, 312, 659, 732
5636, 742, 340, 732, 738
5637, 661, 742, 737, 741
5638, 744, 745, 748, 740
5639, 750, 97, 257, 737
5640, 731, 469, 730, 729
5641, 45, 471, 748, 209
5642, 747, 137, 659, 99
5643, 469, 470, 207, 730
5644, 344, 745, 342, 749
5645, 729, 733, 738, 732
5646, 44, 470, 660, 207
5647, 661, 737, 255, 96
5648, 318, 44, 660, 207
5649, 740, 745, 743, 342
5650, 747, 137, 660, 659
5651, 661, 742, 732, 659
5652, 142, 739, 341, 746
5653, 744, 337, 338, 735
5654, 733, 744, 735, 729
5655, 207, 470, 660, 730
5656, 201, 731, 469, 730
5657, 341, 745, 740, 342
5658, 44, 137, 318, 660
5659, 734, 659, 732, 729
5660, 742, 729, 740, 738
5661, 45, 744, 471, 202
5662, 744, 471, 202, 469
5663, 744, 733, 746, 745
5664, 745, 739, 738, 746
5665, 739, 745, 738, 740
5666, 745, 739, 341, 740
5667, 736, 750, 343, 749
5668, 733, 745, 738, 746
5669, 742, 661, 732, 741
5670, 661, 135, 741, 316
5671, 135, 340, 732, 741
5672, 312, 661, 135, 741
5673, 340, 742, 732, 741
5674, 736, 343, 743, 749
5675, 740, 736, 743, 749
5676, 747, 46, 470, 44
5677, 731, 42, 469, 202
5678, 659, 747, 470, 660
5679, 750, 257, 751, 737
5680, 207, 136, 41, 730
5681, 470, 659, 751, 747
5682, 751, 659, 470, 748
5683, 751, 345, 470, 747
5684, 470, 345, 751, 748
5685, 749, 342, 143, 743
5686, 749, 143, 342, 344
5687, 660, 207, 136, 318
5688, 660, 136, 207, 730
5689, 729, 740, 748, 742
5690, 729, 748, 740, 744
5691, 660, 734, 470, 659
5692, 660, 470, 734, 730
5693, 729, 470, 734, 659
5694, 729, 734, 470, 730
5695, 44, 660, 747, 137
5696, 747, 660, 44, 470
5697, 142, 746, 339, 739
5698, 142, 339, 746, 733
5699, 738, 339, 746, 739
5700, 738, 746, 339, 733
5701, 738, 729, 744, 733
5702, 744, 729, 738, 740
5703, 744, 745, 738, 733
5704, 738, 745, 744, 740
5705, 744, 469, 729, 471
5706, 729, 469, 744, 731
5707, 749, 748, 742, 750
5708, 742, 748, 749, 740
5709, 742, 736, 749, 750
5710, 749, 736, 742, 740
5711, 754, 658, 752, 753
5712, 207, 44, 658, 318
5713, 318, 754, 136, 310
5714, 120, 658, 310, 753
5715, 463, 752, 464, 206
5716, 754, 752, 658, 463
5717, 754, 318, 658, 310
5718, 557, 752, 605, 104
5719, 120, 285, 605, 753
5720, 207, 463, 754, 658
5721, 557, 614, 206, 107
5722, 752, 463, 39, 206
5723, 126, 121, 605, 658
5724, 614, 126, 605, 658
5725, 103, 614, 102, 126
5726, 754, 207, 318, 136
5727, 41, 207, 754, 136
5728, 464, 605, 752, 658
5729, 464, 605, 658, 614
5730, 464, 605, 614, 557
5731, 752, 557, 464, 206
5732, 40, 614, 206, 464
5733, 614, 557, 206, 464
5734, 614, 40, 206, 107
5735, 605, 120, 753, 658
5736, 614, 40, 43, 464
5737, 127, 126, 464, 658
5738, 206, 557, 107, 267
5739, 557, 614, 103, 605
5740, 126, 127, 464, 43
5741, 103, 121, 605, 126
5742, 614, 103, 605, 126
5743, 126, 614, 43, 464
5744, 658, 754, 310, 753
5745, 103, 557, 605, 104
5746, 126, 614, 464, 658
5747, 463, 752, 658, 464
5748, 127, 44, 464, 43
5749, 463, 44, 658, 207
5750, 463, 41, 754, 39
5751, 44, 137, 658, 318
5752, 463, 41, 207, 754
5753, 207, 754, 318, 658
5754, 285, 752, 605, 753
5755, 557, 614, 102, 103
5756, 752, 285, 605, 104
5757, 120, 121, 658, 605
5758, 464, 605, 557, 752
5759, 614, 557, 102, 107
5760, 752, 106, 206, 39
5761, 752, 39, 463, 754
5762, 127, 44, 658, 464
5763, 44, 127, 658, 137
5764, 127, 121, 126, 658
5765, 463, 44, 464, 658
5766, 752, 605, 753, 658
5767, 557, 752, 267, 206
5768, 557, 267, 752, 104
5769, 106, 267, 752, 206
5770, 106, 752, 267, 104
5771, 539, 747, 345, 99
5772, 755, 130, 119, 756
5773, 472, 490, 47, 615
5774, 747, 539, 345, 756
5775, 490, 525, 68, 616
5776, 472, 490, 615, 616
5777, 472, 747, 44, 46
5778, 254, 237, 616, 293
5779, 472, 615, 47, 43
5780, 756, 539, 345, 94
5781, 525, 755, 524, 756
5782, 539, 98, 345, 94
5783, 747, 254, 539, 616
5784, 283, 119, 252, 756
5785, 71, 755, 69, 490
5786, 755, 283, 756, 119
5787, 240, 525, 69, 755
5788, 755, 525, 69, 490
5789, 747, 472, 616, 756
5790, 472, 51, 756, 46
5791, 525, 747, 616, 756
5792, 490, 67, 616, 68
5793, 539, 756, 252, 94
5794, 525, 240, 524, 755
5795, 525, 747, 539, 616
5796, 87, 237, 88, 293
5797, 237, 254, 88, 293
5798, 616, 127, 126, 43
5799, 67, 615, 616, 126
5800, 240, 283, 524, 755
5801, 472, 44, 616, 43
5802, 127, 747, 44, 616
5803, 747, 472, 756, 46
5804, 51, 71, 47, 472
5805, 525, 237, 68, 616
5806, 71, 472, 756, 490
5807, 67, 490, 616, 615
5808, 756, 119, 252, 94
5809, 71, 472, 490, 47
5810, 67, 74, 490, 615
5811, 747, 472, 44, 616
5812, 74, 71, 490, 47
5813, 283, 240, 524, 85
5814, 755, 71, 756, 490
5815, 254, 747, 539, 99
5816, 755, 71, 130, 756
5817, 747, 525, 539, 756
5818, 71, 51, 130, 756
5819, 254, 237, 88, 242
5820, 44, 127, 616, 43
5821, 755, 283, 524, 756
5822, 525, 490, 68, 69
5823, 98, 539, 345, 99
5824, 525, 755, 756, 490
5825, 86, 283, 524, 85
5826, 539, 525, 242, 524
5827, 242, 86, 252, 524
5828, 539, 525, 524, 756
5829, 51, 71, 472, 756
5830, 283, 756, 252, 524
5831, 756, 539, 252, 524
5832, 539, 242, 252, 524
5833, 254, 747, 99, 137
5834, 86, 283, 252, 524
5835, 615, 472, 616, 43
5836, 490, 74, 47, 615
5837, 747, 254, 127, 137
5838, 46, 747, 345, 756
5839, 747, 127, 44, 137
5840, 615, 616, 126, 43
5841, 254, 127, 616, 747
5842, 616, 127, 254, 293
5843, 756, 616, 490, 472
5844, 756, 490, 616, 525
5845, 242, 539, 616, 525
5846, 616, 539, 242, 254
5847, 616, 237, 242, 525
5848, 242, 237, 616, 254
5849, 757, 176, 4, 159
5850, 110, 52, 757, 554
5851, 410, 757, 278, 159
5852, 410, 24, 177, 589
5853, 410, 176, 5, 477
5854, 589, 110, 278, 757
5855, 589, 410, 757, 278
5856, 52, 213, 757, 554
5857, 410, 176, 477, 757
5858, 589, 110, 757, 554
5859, 589, 410, 5, 477
5860, 589, 64, 53, 5
5861, 20, 410, 278, 159
5862, 589, 5, 53, 477
5863, 477, 176, 4, 757
5864, 64, 589, 53, 554
5865, 177, 410, 278, 20
5866, 589, 64, 265, 554
5867, 589, 477, 53, 554
5868, 213, 477, 757, 554
5869, 589, 265, 110, 554
5870, 24, 410, 5, 589
5871, 64, 24, 5, 589
5872, 477, 213, 53, 554
5873, 410, 589, 757, 477
5874, 477, 589, 757, 554
5875, 213, 52, 757, 477
5876, 176, 410, 159, 757
5877, 410, 589, 177, 278
5878, 52, 477, 4, 757
5879, 882, 648, 304, 759
5880, 309, 882, 284, 131
5881, 94, 599, 253, 751
5882, 597, 599, 236, 515
5883, 344, 763, 749, 143
5884, 748, 882, 759, 473
5885, 599, 253, 751, 750
5886, 749, 346, 343, 143
5887, 761, 882, 759, 760
5888, 95, 97, 253, 750
5889, 94, 599, 751, 756
5890, 762, 763, 346, 758
5891, 77, 758, 762, 346
5892, 761, 231, 514, 515
5893, 597, 95, 758, 76
5894, 599, 882, 598, 235
5895, 882, 648, 309, 647
5896, 761, 231, 232, 514
5897, 598, 130, 119, 118
5898, 599, 761, 514, 515
5899, 597, 515, 236, 76
5900, 761, 763, 597, 750
5901, 515, 763, 761, 762
5902, 763, 597, 750, 758
5903, 599, 761, 750, 751
5904, 515, 763, 762, 758
5905, 598, 78, 235, 513
5906, 598, 130, 648, 756
5907, 94, 599, 756, 598
5908, 749, 346, 143, 763
5909, 515, 227, 76, 758
5910, 514, 599, 236, 235
5911, 343, 758, 749, 750
5912, 50, 648, 759, 304
5913, 598, 130, 118, 648
5914, 761, 599, 597, 515
5915, 882, 748, 756, 473
5916, 882, 598, 235, 513
5917, 94, 345, 751, 98
5918, 882, 761, 232, 514
5919, 597, 515, 76, 758
5920, 253, 94, 751, 98
5921, 748, 760, 473, 759
5922, 257, 253, 751, 98
5923, 760, 205, 473, 759
5924, 882, 514, 232, 513
5925, 882, 599, 514, 235
5926, 83, 882, 232, 513
5927, 748, 209, 473, 760
5928, 756, 748, 46, 473
5929, 882, 647, 83, 304
5930, 748, 882, 760, 759
5931, 51, 756, 46, 473
5932, 882, 748, 760, 761
5933, 345, 748, 46, 756
5934, 748, 209, 760, 45
5935, 309, 78, 284, 513
5936, 130, 648, 756, 51
5937, 284, 882, 118, 131
5938, 515, 763, 758, 597
5939, 95, 750, 597, 758
5940, 82, 309, 513, 78
5941, 759, 205, 473, 50
5942, 209, 205, 760, 45
5943, 648, 882, 473, 759
5944, 648, 882, 304, 647
5945, 749, 346, 763, 758
5946, 761, 882, 232, 759
5947, 210, 759, 473, 50
5948, 97, 343, 750, 758
5949, 748, 345, 751, 756
5950, 762, 227, 515, 758
5951, 763, 344, 749, 760
5952, 599, 882, 514, 761
5953, 761, 748, 750, 751
5954, 599, 882, 756, 598
5955, 97, 257, 253, 750
5956, 598, 882, 118, 284
5957, 599, 761, 597, 750
5958, 648, 882, 598, 756
5959, 762, 231, 515, 77
5960, 227, 762, 515, 77
5961, 762, 231, 761, 515
5962, 648, 882, 309, 131
5963, 515, 599, 236, 514
5964, 648, 131, 130, 118
5965, 257, 253, 750, 751
5966, 345, 94, 751, 756
5967, 647, 309, 513, 82
5968, 748, 209, 46, 473
5969, 756, 648, 473, 51
5970, 95, 597, 750, 253
5971, 515, 763, 597, 761
5972, 514, 882, 235, 513
5973, 647, 882, 513, 309
5974, 882, 309, 284, 513
5975, 648, 210, 473, 51
5976, 97, 95, 758, 750
5977, 882, 648, 473, 756
5978, 882, 83, 232, 304
5979, 882, 304, 232, 759
5980, 94, 598, 756, 119
5981, 598, 130, 756, 119
5982, 209, 205, 473, 760
5983, 344, 748, 760, 45
5984, 758, 763, 749, 750
5985, 344, 748, 749, 760
5986, 882, 648, 118, 131
5987, 83, 647, 513, 82
5988, 648, 882, 118, 598
5989, 882, 647, 513, 83
5990, 749, 346, 758, 343
5991, 77, 758, 227, 762
5992, 210, 648, 473, 759
5993, 50, 648, 210, 759
5994, 599, 597, 253, 750
5995, 513, 284, 598, 78
5996, 513, 598, 284, 882
5997, 756, 751, 882, 599
5998, 756, 882, 751, 748
5999, 761, 882, 751, 599
6000, 761, 751, 882, 748
6001, 761, 760, 750, 748
6002, 761, 750, 760, 763
6003, 749, 750, 760, 748
6004, 749, 760, 750, 763
6005, 299, 300, 774, 639
6006, 560, 267, 766, 206
6007, 144, 772, 350, 770
6008, 770, 772, 767, 348
6009, 467, 765, 465, 466
6010, 558, 111, 771, 264
6011, 641, 559, 268, 639
6012, 640, 299, 773, 774
6013, 772, 774, 767, 348
6014, 467, 641, 107, 40
6015, 300, 772, 642, 129
6016, 640, 467, 641, 764
6017, 559, 768, 766, 561
6018, 559, 768, 561, 558
6019, 769, 774, 639, 764
6020, 559, 467, 766, 641
6021, 769, 642, 558, 639
6022, 766, 39, 466, 206
6023, 144, 770, 767, 348
6024, 769, 772, 774, 767
6025, 49, 640, 773, 468
6026, 49, 208, 640, 468
6027, 144, 772, 770, 348
6028, 772, 769, 770, 767
6029, 347, 769, 767, 770
6030, 768, 559, 764, 639
6031, 774, 769, 767, 764
6032, 640, 773, 764, 774
6033, 560, 766, 106, 260
6034, 144, 347, 767, 770
6035, 641, 467, 766, 764
6036, 467, 765, 468, 465
6037, 765, 39, 466, 766
6038, 774, 640, 639, 764
6039, 769, 772, 639, 774
6040, 559, 768, 558, 639
6041, 640, 467, 764, 468
6042, 640, 641, 639, 764
6043, 467, 559, 560, 107
6044, 559, 268, 639, 558
6045, 208, 467, 48, 641
6046, 765, 467, 764, 766
6047, 467, 765, 764, 468
6048, 772, 769, 639, 642
6049, 773, 640, 764, 468
6050, 765, 773, 764, 468
6051, 768, 769, 767, 347
6052, 560, 467, 107, 206
6053, 267, 766, 206, 106
6054, 467, 766, 466, 206
6055, 467, 559, 766, 560
6056, 467, 559, 107, 641
6057, 199, 765, 465, 38
6058, 267, 560, 107, 206
6059, 772, 769, 350, 770
6060, 299, 49, 640, 773
6061, 559, 768, 764, 766
6062, 641, 559, 764, 766
6063, 766, 39, 206, 106
6064, 769, 768, 767, 764
6065, 768, 105, 558, 264
6066, 768, 769, 639, 764
6067, 349, 773, 774, 764
6068, 267, 560, 766, 106
6069, 769, 558, 771, 264
6070, 773, 49, 468, 203
6071, 640, 299, 774, 639
6072, 773, 349, 203, 465
6073, 641, 467, 48, 40
6074, 105, 768, 347, 264
6075, 769, 642, 771, 558
6076, 768, 769, 558, 639
6077, 300, 772, 774, 639
6078, 349, 765, 773, 764
6079, 774, 349, 764, 348
6080, 559, 641, 764, 639
6081, 642, 268, 771, 558
6082, 772, 300, 642, 639
6083, 769, 768, 558, 264
6084, 768, 769, 347, 264
6085, 768, 259, 260, 561
6086, 111, 268, 771, 642
6087, 467, 560, 766, 206
6088, 208, 640, 467, 641
6089, 768, 259, 561, 558
6090, 642, 769, 771, 298
6091, 268, 111, 771, 558
6092, 641, 559, 107, 112
6093, 767, 774, 764, 348
6094, 766, 560, 561, 260
6095, 765, 349, 773, 465
6096, 560, 559, 766, 561
6097, 765, 39, 199, 466
6098, 769, 772, 350, 129
6099, 268, 642, 639, 558
6100, 772, 769, 642, 129
6101, 111, 642, 771, 298
6102, 766, 768, 260, 561
6103, 467, 765, 466, 766
6104, 641, 559, 112, 268
6105, 768, 105, 259, 558
6106, 467, 40, 107, 206
6107, 641, 40, 48, 107
6108, 773, 468, 465, 203
6109, 112, 641, 48, 107
6110, 765, 199, 465, 466
6111, 769, 642, 129, 298
6112, 640, 208, 467, 468
6113, 773, 765, 465, 468
6114, 465, 349, 38, 765
6115, 465, 38, 349, 203
6116, 36, 196, 16, 404
6117, 781, 170, 3, 216
6118, 650, 132, 134, 783
6119, 776, 400, 778, 777
6120, 786, 356, 784, 783
6121, 400, 776, 156, 777
6122, 13, 782, 401, 402
6123, 650, 786, 403, 783
6124, 787, 354, 305, 779
6125, 775, 784, 146, 36
6126, 56, 781, 3, 216
6127, 785, 352, 777, 351
6128, 785, 786, 351, 777
6129, 776, 787, 352, 777
6130, 651, 785, 405, 403
6131, 786, 650, 134, 783
6132, 783, 650, 402, 403
6133, 782, 37, 402, 17
6134, 786, 775, 351, 777
6135, 196, 171, 16, 404
6136, 775, 155, 777, 403
6137, 155, 400, 777, 403
6138, 783, 404, 403, 402
6139, 155, 775, 404, 403
6140, 400, 157, 778, 780
6141, 787, 776, 352, 145
6142, 132, 355, 650, 782
6143, 649, 781, 779, 294
6144, 651, 785, 306, 305
6145, 649, 56, 216, 781
6146, 405, 785, 777, 403
6147, 787, 785, 352, 777
6148, 649, 56, 781, 294
6149, 158, 157, 405, 780
6150, 354, 305, 779, 133
6151, 57, 72, 401, 7
6152, 72, 132, 650, 782
6153, 650, 403, 401, 402
6154, 170, 57, 401, 7
6155, 156, 400, 777, 155
6156, 651, 406, 781, 216
6157, 651, 650, 403, 401
6158, 651, 650, 306, 403
6159, 649, 651, 781, 216
6160, 775, 196, 36, 404
6161, 406, 651, 405, 401
6162, 775, 784, 404, 403
6163, 782, 650, 401, 402
6164, 786, 785, 306, 403
6165, 779, 649, 294, 133
6166, 305, 649, 779, 133
6167, 57, 651, 216, 401
6168, 786, 650, 306, 134
6169, 171, 37, 17, 402
6170, 196, 171, 404, 402
6171, 776, 787, 778, 145
6172, 784, 196, 404, 783
6173, 170, 406, 401, 216
6174, 171, 196, 37, 402
6175, 400, 776, 778, 157
6176, 786, 785, 403, 777
6177, 650, 786, 306, 403
6178, 400, 405, 777, 403
6179, 155, 775, 16, 404
6180, 406, 651, 781, 405
6181, 170, 57, 216, 401
6182, 406, 170, 3, 781
6183, 72, 57, 401, 650
6184, 649, 651, 779, 781
6185, 782, 17, 402, 13
6186, 651, 649, 779, 305
6187, 786, 356, 783, 134
6188, 405, 651, 403, 401
6189, 158, 406, 3, 781
6190, 775, 196, 404, 784
6191, 783, 196, 404, 402
6192, 406, 651, 401, 216
6193, 355, 132, 650, 783
6194, 775, 786, 403, 777
6195, 787, 785, 779, 305
6196, 775, 36, 16, 404
6197, 196, 775, 36, 784
6198, 354, 787, 778, 779
6199, 400, 776, 157, 2
6200, 72, 13, 401, 7
6201, 157, 400, 405, 780
6202, 157, 776, 353, 2
6203, 400, 776, 2, 156
6204, 787, 354, 778, 145
6205, 353, 776, 778, 145
6206, 785, 651, 779, 305
6207, 355, 37, 783, 402
6208, 785, 651, 306, 403
6209, 170, 406, 216, 781
6210, 72, 782, 401, 13
6211, 37, 355, 782, 402
6212, 785, 651, 405, 779
6213, 784, 783, 404, 403
6214, 776, 157, 353, 778
6215, 37, 196, 783, 402
6216, 72, 650, 401, 782
6217, 57, 651, 401, 650
6218, 786, 784, 351, 775
6219, 786, 351, 784, 356
6220, 146, 351, 784, 775
6221, 146, 784, 351, 356
6222, 781, 405, 158, 406
6223, 781, 158, 405, 780
6224, 777, 400, 780, 405
6225, 780, 400, 777, 778
6226, 777, 787, 778, 776
6227, 403, 784, 786, 775
6228, 403, 786, 784, 783
6229, 402, 355, 650, 783
6230, 402, 650, 355, 782
6231, 779, 405, 781, 651
6232, 779, 781, 405, 780
6233, 777, 778, 779, 780
6234, 777, 405, 779, 785
6235, 779, 405, 777, 780
6236, 779, 777, 787, 778
6237, 787, 777, 779, 785
6238, 37, 355, 446, 789
6239, 784, 791, 783, 356
6240, 357, 226, 788, 510
6241, 446, 784, 511, 783
6242, 78, 600, 511, 284
6243, 510, 784, 511, 445
6244, 791, 646, 307, 509
6245, 645, 82, 81, 509
6246, 510, 784, 790, 791
6247, 446, 195, 511, 445
6248, 784, 791, 356, 790
6249, 132, 308, 646, 789
6250, 646, 644, 307, 509
6251, 195, 34, 446, 511
6252, 446, 34, 600, 511
6253, 791, 234, 511, 509
6254, 789, 646, 783, 511
6255, 646, 791, 307, 134
6256, 195, 510, 445, 33
6257, 33, 510, 445, 788
6258, 446, 355, 783, 789
6259, 789, 446, 600, 511
6260, 355, 132, 646, 789
6261, 132, 355, 646, 783
6262, 644, 307, 509, 645
6263, 645, 307, 509, 81
6264, 357, 80, 510, 790
6265, 355, 37, 446, 783
6266, 234, 791, 510, 790
6267, 644, 308, 282, 789
6268, 509, 78, 511, 284
6269, 644, 308, 789, 646
6270, 446, 37, 789, 25
6271, 34, 600, 511, 78
6272, 646, 644, 511, 789
6273, 789, 446, 25, 600
6274, 446, 784, 196, 445
6275, 195, 510, 511, 445
6276, 186, 33, 445, 788
6277, 36, 784, 788, 445
6278, 81, 307, 509, 234
6279, 146, 784, 788, 36
6280, 644, 789, 600, 511
6281, 446, 37, 196, 783
6282, 784, 36, 196, 445
6283, 357, 510, 788, 790
6284, 80, 357, 510, 226
6285, 510, 80, 234, 790
6286, 307, 791, 509, 234
6287, 234, 510, 791, 511
6288, 82, 309, 509, 645
6289, 226, 510, 33, 788
6290, 791, 646, 509, 511
6291, 784, 446, 511, 445
6292, 791, 134, 783, 356
6293, 446, 789, 783, 511
6294, 309, 82, 509, 78
6295, 186, 36, 788, 445
6296, 646, 791, 783, 511
6297, 784, 791, 511, 783
6298, 644, 789, 282, 600
6299, 309, 644, 509, 645
6300, 784, 510, 788, 445
6301, 784, 446, 196, 783
6302, 132, 646, 134, 783
6303, 644, 131, 309, 284
6304, 510, 784, 788, 790
6305, 644, 646, 511, 509
6306, 600, 644, 511, 284
6307, 646, 791, 134, 783
6308, 355, 646, 783, 789
6309, 446, 34, 25, 600
6310, 282, 644, 600, 284
6311, 282, 789, 25, 600
6312, 784, 510, 511, 791
6313, 644, 509, 511, 284
6314, 284, 509, 309, 644
6315, 284, 309, 509, 78
6316, 282, 284, 308, 644
6317, 282, 308, 284, 118
6318, 131, 308, 284, 644
6319, 131, 284, 308, 118
6320, 790, 784, 357, 356
6321, 790, 357, 784, 788
6322, 146, 357, 784, 356
6323, 146, 784, 357, 788
6324, 792, 234, 79, 80
6325, 146, 356, 351, 793
6326, 798, 796, 362, 638
6327, 883, 799, 800, 302
6328, 360, 793, 800, 359
6329, 796, 305, 787, 354
6330, 786, 637, 306, 883
6331, 790, 234, 792, 80
6332, 307, 637, 797, 303
6333, 145, 787, 794, 352
6334, 786, 356, 791, 793
6335, 796, 295, 362, 638
6336, 793, 790, 792, 357
6337, 798, 796, 147, 362
6338, 301, 798, 128, 638
6339, 800, 637, 797, 791
6340, 356, 786, 351, 793
6341, 796, 133, 638, 305
6342, 787, 795, 794, 352
6343, 637, 307, 797, 791
6344, 785, 795, 787, 352
6345, 793, 800, 797, 791
6346, 303, 637, 800, 302
6347, 792, 233, 797, 79
6348, 637, 883, 800, 302
6349, 790, 234, 797, 792
6350, 799, 883, 798, 636
6351, 786, 883, 306, 785
6352, 786, 793, 883, 795
6353, 790, 792, 357, 80
6354, 301, 799, 798, 636
6355, 796, 305, 638, 883
6356, 798, 301, 636, 638
6357, 883, 785, 795, 787
6358, 133, 796, 638, 295
6359, 786, 637, 134, 306
6360, 796, 798, 147, 794
6361, 786, 637, 883, 791
6362, 796, 883, 794, 787
6363, 796, 133, 305, 354
6364, 883, 637, 306, 636
6365, 883, 637, 800, 791
6366, 798, 883, 638, 636
6367, 883, 305, 638, 636
6368, 301, 799, 636, 302
6369, 361, 799, 795, 883
6370, 81, 234, 233, 797
6371, 303, 81, 84, 797
6372, 786, 356, 134, 791
6373, 799, 361, 795, 360
6374, 234, 233, 797, 792
6375, 358, 796, 147, 794
6376, 81, 233, 84, 797
6377, 307, 234, 797, 791
6378, 307, 81, 303, 797
6379, 357, 356, 146, 793
6380, 796, 354, 787, 794
6381, 356, 793, 790, 791
6382, 883, 796, 794, 798
6383, 793, 883, 800, 791
6384, 883, 361, 794, 795
6385, 785, 351, 795, 352
6386, 883, 799, 798, 794
6387, 799, 361, 798, 794
6388, 307, 637, 134, 791
6389, 793, 786, 883, 791
6390, 128, 798, 362, 638
6391, 295, 128, 362, 638
6392, 305, 796, 787, 883
6393, 234, 790, 797, 791
6394, 793, 790, 797, 792
6395, 303, 637, 797, 800
6396, 637, 786, 134, 791
6397, 357, 356, 793, 790
6398, 361, 799, 883, 794
6399, 883, 637, 636, 302
6400, 883, 795, 794, 787
6401, 799, 883, 636, 302
6402, 786, 351, 793, 795
6403, 883, 799, 795, 360
6404, 234, 81, 307, 797
6405, 790, 793, 797, 791
6406, 793, 883, 795, 360
6407, 800, 793, 797, 359
6408, 883, 793, 800, 360
6409, 799, 883, 800, 360
6410, 305, 883, 787, 785
6411, 233, 234, 79, 792
6412, 793, 792, 797, 359
6413, 305, 883, 306, 636
6414, 883, 305, 306, 785
6415, 798, 361, 147, 794
6416, 796, 883, 638, 798
6417, 796, 358, 354, 794
6418, 792, 797, 359, 79
6419, 786, 795, 785, 351
6420, 785, 795, 786, 883
6421, 794, 354, 145, 358
6422, 794, 145, 354, 787
6423, 643, 130, 755, 71
6424, 69, 755, 518, 240
6425, 782, 643, 132, 789
6426, 596, 119, 755, 308
6427, 643, 782, 132, 72
6428, 119, 596, 755, 283
6429, 596, 755, 518, 789
6430, 596, 85, 518, 240
6431, 782, 37, 789, 355
6432, 282, 596, 789, 308
6433, 283, 596, 755, 240
6434, 85, 596, 518, 26
6435, 119, 118, 130, 308
6436, 596, 25, 518, 26
6437, 755, 643, 518, 789
6438, 130, 643, 755, 308
6439, 69, 643, 755, 71
6440, 596, 283, 85, 240
6441, 118, 596, 282, 308
6442, 25, 18, 518, 26
6443, 119, 130, 755, 308
6444, 69, 14, 518, 13
6445, 782, 643, 13, 72
6446, 355, 782, 132, 789
6447, 596, 282, 789, 25
6448, 643, 308, 132, 789
6449, 37, 25, 518, 789
6450, 69, 643, 71, 72
6451, 37, 18, 518, 25
6452, 118, 596, 308, 119
6453, 69, 643, 13, 518
6454, 130, 118, 131, 308
6455, 643, 782, 13, 518
6456, 643, 69, 13, 72
6457, 643, 782, 518, 789
6458, 37, 782, 789, 518
6459, 643, 69, 755, 518
6460, 17, 18, 13, 782
6461, 755, 596, 518, 240
6462, 25, 596, 518, 789
6463, 13, 518, 18, 14
6464, 13, 18, 518, 782
6465, 18, 37, 782, 17
6466, 18, 782, 37, 518
6467, 789, 755, 308, 596
6468, 789, 308, 755, 643
*Elset, elset=GRAIN-1
2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615
2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624
2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633
2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642
2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651
2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660
2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669
2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678
2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687
2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696
2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705
2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714
2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723
2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732
2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741
2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750
2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759
2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768
2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777
2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786
2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795
2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804
2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813
2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822
2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831
2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840
2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849
2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858
2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867
2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876
2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885
2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894
2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903
2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912
2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921
2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930
2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939
2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948
2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957
2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966
2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975
2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984
2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993
2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002
3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011
3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020
3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029
3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038
3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047
3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056
3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065
3066, 3067,
*Elset, elset=GRAIN-2
3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076
3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085
3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094
3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103
3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112
3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121
3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130
3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139
3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148
3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157
3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166
3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175
3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184
3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193
3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202
3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211
3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220
3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229
3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238
3239, 3240, 3241, 3242,
*Elset, elset=GRAIN-3
3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251
3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260
3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269
3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278
3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287
3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296
3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305
3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314
3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323
3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332
3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341
3342, 3343, 3344,
*Elset, elset=GRAIN-4
3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353
3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362
3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371
3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380
3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389
3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398
3399, 3400, 3401, 3402,
*Elset, elset=GRAIN-5
3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411
3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420
3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429
3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438
3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447
3448, 3449, 3450, 3451, 3452, 3453,
*Elset, elset=GRAIN-6
3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462
3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471
3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480
3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489
3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498
3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507
3508, 3509, 3510,
*Elset, elset=GRAIN-7
3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519
3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528
3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537
3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546
3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555
3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564
3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573
3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582
3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591
3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600
3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609
3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618
3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627
3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636
3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645
3646, 3647, 3648,
*Elset, elset=GRAIN-8
3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657
3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666
3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675
3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684
3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693
3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702
3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711
3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720
3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729
3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738
3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747
3748,
*Elset, elset=GRAIN-9
3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757
3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766
3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775
3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784
3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793
3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802
3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811
3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820
3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829
3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838
3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847
3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856
3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865
3866, 3867, 3868,
*Elset, elset=GRAIN-10
3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877
3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886
3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895
3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904
3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913
3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922
3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931
3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940
3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949
3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958
3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967
3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976
3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985
3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994
3995, 3996, 3997, 3998, 3999, 4000, 4001,
*Elset, elset=GRAIN-11
4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010
4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019
4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028
4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037
4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046
4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055
4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064
4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073
4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082
4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091
4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100
4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109
4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118
4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127
4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136
4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145
4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154
4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163
4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172
4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181
4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190
4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199
4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208
4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217
4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226
4227, 4228, 4229,
*Elset, elset=GRAIN-12
4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238
4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247
4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256
4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265
4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274
4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283
4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292
4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301
4302, 4303, 4304,
*Elset, elset=GRAIN-13
4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313
4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322
4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331
4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340
4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349
4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357,
*Elset, elset=GRAIN-14
4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366
4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375
4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384
4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393
4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402
4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411
4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420
4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429
4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438
4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446,
*Elset, elset=GRAIN-15
4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455
4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464
4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472,
*Elset, elset=GRAIN-16
4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481
4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490
4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499
4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508
4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517
4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526
4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535
4536, 4537, 4538, 4539,
*Elset, elset=GRAIN-17
4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548
4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557
4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566
4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575
4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584
4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593
4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602
4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611
4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620
4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629
4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638
4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647
4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656
4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665
4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674
4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683
4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692
4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701
4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710
4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719
4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728
4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737
4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746
4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755
4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764
4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773
4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782
4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791
4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799,
*Elset, elset=GRAIN-18
4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808
4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817
4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826
4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835
4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844
4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853
4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862
4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871
4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880
4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889
4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898
4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907
4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916
4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925
4926, 4927, 4928, 4929, 4930,
*Elset, elset=GRAIN-19
4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939
4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948
4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957
4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966
4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975
4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984
4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993
4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002
5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011
5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020
5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029
5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038
5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047
5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056
5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065
5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074
5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083
5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092
5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101
5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110
5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119
5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128
5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137
5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146
5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155
5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164
5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173
5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182
5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191
5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200
5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209
5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218
5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227
5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236
5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245
5246, 5247,
*Elset, elset=GRAIN-20
5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256
5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265
5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274
5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283
5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292
5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301
5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310
5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319
5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328
5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337
5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346
5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355
5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364
5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373
5374, 5375, 5376, 5377, 5378, 5379, 5380, 5381, 5382
5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391
5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400
5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409
5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418
5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427
5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436
5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445
5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454
5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463
5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472
5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481
5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490
5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499
5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508
5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517
5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526
5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535
5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544
5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553
5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562
5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570,
*Elset, elset=GRAIN-21
5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579
5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588
5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597
5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606
5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615
5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624
5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633
5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642
5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651
5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660
5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669
5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678
5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687
5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696
5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705
5706, 5707, 5708, 5709, 5710,
*Elset, elset=GRAIN-22
5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719
5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728
5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737
5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746
5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755
5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764
5765, 5766, 5767, 5768, 5769, 5770,
*Elset, elset=GRAIN-23
5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779
5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788
5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797
5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806
5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815
5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824
5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833
5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842
5843, 5844, 5845, 5846, 5847, 5848,
*Elset, elset=GRAIN-24
5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857
5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866
5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875
5876, 5877, 5878,
*Elset, elset=GRAIN-25
5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887
5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896
5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905
5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914
5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923
5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932
5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941
5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950
5951, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959
5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968
5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977
5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986
5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995
5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004
*Elset, elset=GRAIN-26
6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013
6014, 6015, 6016, 6017, 6018, 6019, 6020, 6021, 6022
6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6031
6032, 6033, 6034, 6035, 6036, 6037, 6038, 6039, 6040
6041, 6042, 6043, 6044, 6045, 6046, 6047, 6048, 6049
6050, 6051, 6052, 6053, 6054, 6055, 6056, 6057, 6058
6059, 6060, 6061, 6062, 6063, 6064, 6065, 6066, 6067
6068, 6069, 6070, 6071, 6072, 6073, 6074, 6075, 6076
6077, 6078, 6079, 6080, 6081, 6082, 6083, 6084, 6085
6086, 6087, 6088, 6089, 6090, 6091, 6092, 6093, 6094
6095, 6096, 6097, 6098, 6099, 6100, 6101, 6102, 6103
6104, 6105, 6106, 6107, 6108, 6109, 6110, 6111, 6112
6113, 6114, 6115,
*Elset, elset=GRAIN-27
6116, 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124
6125, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133
6134, 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142
6143, 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151
6152, 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160
6161, 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169
6170, 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178
6179, 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187
6188, 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196
6197, 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205
6206, 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214
6215, 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223
6224, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232
6233, 6234, 6235, 6236, 6237,
*Elset, elset=GRAIN-28
6238, 6239, 6240, 6241, 6242, 6243, 6244, 6245, 6246
6247, 6248, 6249, 6250, 6251, 6252, 6253, 6254, 6255
6256, 6257, 6258, 6259, 6260, 6261, 6262, 6263, 6264
6265, 6266, 6267, 6268, 6269, 6270, 6271, 6272, 6273
6274, 6275, 6276, 6277, 6278, 6279, 6280, 6281, 6282
6283, 6284, 6285, 6286, 6287, 6288, 6289, 6290, 6291
6292, 6293, 6294, 6295, 6296, 6297, 6298, 6299, 6300
6301, 6302, 6303, 6304, 6305, 6306, 6307, 6308, 6309
6310, 6311, 6312, 6313, 6314, 6315, 6316, 6317, 6318
6319, 6320, 6321, 6322, 6323,
*Elset, elset=GRAIN-29
6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332
6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341
6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350
6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359
6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368
6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377
6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386
6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395
6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404
6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413
6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422
*Elset, elset=GRAIN-30
6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431
6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440
6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449
6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458
6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467
6468,
*Elset, elset=Phase-1
2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615
2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624
2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633
2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642
2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651
2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660
2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669
2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678
2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687
2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696
2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705
2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714
2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723
2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732
2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741
2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750
2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759
2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768
2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777
2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786
2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795
2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804
2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813
2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822
2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831
2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840
2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849
2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858
2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867
2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876
2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885
2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894
2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903
2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912
2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921
2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930
2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939
2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948
2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957
2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966
2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975
2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984
2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993
2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002
3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011
3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020
3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029
3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038
3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047
3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056
3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065
3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074
3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083
3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092
3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101
3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110
3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119
3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128
3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137
3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146
3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155
3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164
3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173
3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182
3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191
3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200
3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209
3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218
3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227
3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236
3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245
3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254
3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263
3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272
3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281
3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290
3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299
3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308
3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317
3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326
3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335
3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344
3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353
3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362
3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371
3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380
3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389
3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398
3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407
3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416
3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425
3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434
3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443
3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452
3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461
3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470
3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479
3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488
3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497
3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506
3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515
3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524
3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533
3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542
3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551
3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560
3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569
3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578
3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587
3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596
3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605
3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614
3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623
3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632
3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641
3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650
3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659
3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668
3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677
3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686
3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695
3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704
3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713
3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722
3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731
3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740
3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749
3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758
3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767
3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776
3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785
3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794
3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803
3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812
3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821
3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830
3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839
3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848
3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857
3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866
3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875
3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884
3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893
3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902
3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911
3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920
3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929
3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938
3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947
3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956
3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965
3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974
3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983
3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992
3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001
4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010
4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019
4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028
4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037
4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046
4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055
4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064
4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073
4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082
4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091
4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100
4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109
4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118
4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127
4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136
4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145
4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154
4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163
4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172
4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181
4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190
4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199
4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208
4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217
4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226
4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235
4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244
4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253
4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262
4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271
4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280
4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289
4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298
4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307
4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316
4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325
4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334
4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343
4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352
4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361
4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370
4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379
4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388
4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397
4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406
4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415
4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424
4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433
4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442
4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451
4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460
4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469
4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478
4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487
4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496
4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505
4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514
4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523
4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532
4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541
4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550
4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559
4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568
4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577
4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586
4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595
4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604
4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613
4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622
4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631
4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640
4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649
4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658
4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667
4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676
4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685
4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694
4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703
4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712
4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721
4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730
4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739
4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748
4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757
4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766
4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775
4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784
4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793
4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802
4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811
4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820
4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829
4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838
4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847
4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856
4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865
4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874
4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883
4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892
4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901
4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910
4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919
4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928
4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937
4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946
4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955
4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964
4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973
4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982
4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991
4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000
5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009
5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018
5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027
5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036
5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045
5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054
5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063
5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072
5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081
5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090
5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099
5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108
5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117
5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126
5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135
5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144
5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153
5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162
5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171
5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180
5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189
5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198
5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207
5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216
5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225
5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234
5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243
5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252
5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261
5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270
5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279
5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288
5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297
5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306
5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315
5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324
5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333
5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342
5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351
5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360
5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369
5370, 5371, 5372, 5373, 5374, 5375, 5376, 5377, 5378
5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387
5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396
5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405
5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414
5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423
5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432
5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441
5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450
5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459
5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468
5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477
5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486
5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495
5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504
5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513
5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522
5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531
5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540
5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549
5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558
5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567
5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576
5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585
5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594
5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603
5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612
5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621
5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630
5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639
5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648
5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657
5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666
5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675
5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684
5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693
5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702
5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711
5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720
5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729
5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738
5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747
5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756
5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765
5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774
5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783
5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792
5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801
5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810
5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819
5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828
5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837
5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846
5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855
5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864
5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873
5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882
5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891
5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900
5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909
5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918
5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927
5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936
5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945
5946, 5947, 5948, 5949, 5950, 5951, 5952, 5953, 5954
5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963
5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972
5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981
5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990
5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999
6000, 6001, 6002, 6003, 6004, 6005, 6006, 6007, 6008
6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017
6018, 6019, 6020, 6021, 6022, 6023, 6024, 6025, 6026
6027, 6028, 6029, 6030, 6031, 6032, 6033, 6034, 6035
6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044
6045, 6046, 6047, 6048, 6049, 6050, 6051, 6052, 6053
6054, 6055, 6056, 6057, 6058, 6059, 6060, 6061, 6062
6063, 6064, 6065, 6066, 6067, 6068, 6069, 6070, 6071
6072, 6073, 6074, 6075, 6076, 6077, 6078, 6079, 6080
6081, 6082, 6083, 6084, 6085, 6086, 6087, 6088, 6089
6090, 6091, 6092, 6093, 6094, 6095, 6096, 6097, 6098
6099, 6100, 6101, 6102, 6103, 6104, 6105, 6106, 6107
6108, 6109, 6110, 6111, 6112, 6113, 6114, 6115, 6116
6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124, 6125
6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133, 6134
6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142, 6143
6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151, 6152
6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160, 6161
6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169, 6170
6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178, 6179
6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187, 6188
6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196, 6197
6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205, 6206
6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214, 6215
6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223, 6224
6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232, 6233
6234, 6235, 6236, 6237, 6238, 6239, 6240, 6241, 6242
6243, 6244, 6245, 6246, 6247, 6248, 6249, 6250, 6251
6252, 6253, 6254, 6255, 6256, 6257, 6258, 6259, 6260
6261, 6262, 6263, 6264, 6265, 6266, 6267, 6268, 6269
6270, 6271, 6272, 6273, 6274, 6275, 6276, 6277, 6278
6279, 6280, 6281, 6282, 6283, 6284, 6285, 6286, 6287
6288, 6289, 6290, 6291, 6292, 6293, 6294, 6295, 6296
6297, 6298, 6299, 6300, 6301, 6302, 6303, 6304, 6305
6306, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6314
6315, 6316, 6317, 6318, 6319, 6320, 6321, 6322, 6323
6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332
6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341
6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350
6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359
6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368
6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377
6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386
6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395
6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404
6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413
6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422
6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431
6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440
6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449
6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458
6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467
6468,
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
**Section: Section_Grain-8
*Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8
,
**Section: Section_Grain-9
*Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9
,
**Section: Section_Grain-10
*Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10
,
**Section: Section_Grain-11
*Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11
,
**Section: Section_Grain-12
*Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12
,
**Section: Section_Grain-13
*Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13
,
**Section: Section_Grain-14
*Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14
,
**Section: Section_Grain-15
*Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15
,
**Section: Section_Grain-16
*Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16
,
**Section: Section_Grain-17
*Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17
,
**Section: Section_Grain-18
*Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18
,
**Section: Section_Grain-19
*Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19
,
**Section: Section_Grain-20
*Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20
,
**Section: Section_Grain-21
*Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21
,
**Section: Section_Grain-22
*Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22
,
**Section: Section_Grain-23
*Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23
,
**Section: Section_Grain-24
*Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24
,
**Section: Section_Grain-25
*Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25
,
**Section: Section_Grain-26
*Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26
,
**Section: Section_Grain-27
*Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27
,
**Section: Section_Grain-28
*Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28
,
**Section: Section_Grain-29
*Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29
,
**Section: Section_Grain-30
*Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=NEPER-1, part=NEPER
*NODE
1, 0.000000e+00, 1.000000e+00, 0.000000e+00
2, 0.000000e+00, 1.000000e+00, 4.386705e-01
3, 4.221610e-01, 1.000000e+00, 4.807216e-01
4, 5.268863e-01, 1.000000e+00, 3.942699e-01
5, 5.638708e-01, 8.130270e-01, 3.933024e-01
6, 5.519767e-01, 5.750683e-01, 3.573443e-01
7, 4.464926e-01, 7.426254e-01, 5.013309e-01
8, 5.278840e-01, 5.905412e-01, 4.013663e-01
9, 5.247122e-01, 7.282543e-01, 4.390321e-01
10, 0.000000e+00, 4.230034e-01, 0.000000e+00
11, 4.777264e-01, 4.480484e-01, 2.819534e-01
12, 5.184787e-01, 4.877615e-01, 0.000000e+00
13, 3.949373e-01, 6.087350e-01, 5.056559e-01
14, 4.255564e-01, 5.580808e-01, 4.697305e-01
15, 0.000000e+00, 3.892096e-01, 2.752002e-01
16, 0.000000e+00, 5.276046e-01, 4.720491e-01
17, 2.670109e-01, 5.147846e-01, 4.995517e-01
18, 3.435122e-01, 4.728930e-01, 4.530705e-01
19, 3.527125e-01, 4.203970e-01, 3.799779e-01
20, 6.146030e-01, 1.000000e+00, 2.488160e-01
21, 5.974488e-01, 1.000000e+00, 0.000000e+00
22, 6.259483e-01, 6.614843e-01, 0.000000e+00
23, 6.389716e-01, 7.049943e-01, 2.420315e-01
24, 6.322516e-01, 8.152473e-01, 2.791949e-01
25, 3.116367e-01, 3.810717e-01, 6.370431e-01
26, 4.037323e-01, 3.526868e-01, 5.478786e-01
27, 0.000000e+00, 0.000000e+00, 3.451154e-01
28, 4.349975e-01, 2.290886e-01, 4.400941e-01
29, 4.317384e-01, 2.660503e-01, 5.131113e-01
30, 3.654161e-01, 0.000000e+00, 5.492166e-01
31, 3.790779e-01, 0.000000e+00, 4.637464e-01
32, 0.000000e+00, 0.000000e+00, 6.783121e-01
33, 0.000000e+00, 3.412928e-01, 7.038154e-01
34, 2.241039e-01, 2.942977e-01, 7.106303e-01
35, 2.171117e-01, 0.000000e+00, 6.883166e-01
36, 0.000000e+00, 5.025255e-01, 5.868759e-01
37, 2.390864e-01, 5.028266e-01, 5.575643e-01
38, 1.000000e+00, 6.014337e-01, 1.000000e+00
39, 1.000000e+00, 5.682361e-01, 7.672197e-01
40, 8.091590e-01, 6.050729e-01, 7.185016e-01
41, 1.000000e+00, 4.084181e-01, 7.625372e-01
42, 1.000000e+00, 3.552007e-01, 1.000000e+00
43, 7.535293e-01, 5.091476e-01, 7.011752e-01
44, 7.995563e-01, 3.900187e-01, 7.096950e-01
45, 7.246224e-01, 3.136534e-01, 1.000000e+00
46, 6.971417e-01, 3.546165e-01, 7.987169e-01
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635, 3.548322e-01, 9.324643e-01, 1.000000e+00
636, 2.622795e-01, 7.997098e-01, 8.957910e-01
637, 2.620106e-01, 6.627361e-01, 9.065395e-01
638, 2.642186e-01, 9.238958e-01, 8.982813e-01
639, 7.327694e-01, 8.129946e-01, 8.798884e-01
640, 7.428950e-01, 7.209237e-01, 9.132042e-01
641, 7.293047e-01, 7.278493e-01, 8.038201e-01
642, 7.227292e-01, 9.180981e-01, 8.545090e-01
643, 4.232787e-01, 5.468398e-01, 6.941724e-01
644, 3.349138e-01, 4.995833e-01, 8.062509e-01
645, 3.076196e-01, 4.851881e-01, 8.679217e-01
646, 3.057491e-01, 5.546249e-01, 7.722327e-01
647, 3.958924e-01, 4.478252e-01, 9.224680e-01
648, 4.947772e-01, 4.569158e-01, 8.746561e-01
649, 3.519835e-01, 9.289960e-01, 7.098427e-01
650, 3.410591e-01, 6.974382e-01, 6.940549e-01
651, 3.511792e-01, 8.157029e-01, 6.982909e-01
652, 1.000000e+00, 7.284629e-02, 5.180241e-01
653, 1.000000e+00, 2.986763e-01, 5.463007e-01
654, 1.000000e+00, 3.654152e-01, 4.738892e-01
655, 1.000000e+00, 1.869729e-01, 5.227933e-01
656, 8.602627e-01, 0.000000e+00, 5.218043e-01
657, 8.085003e-01, 0.000000e+00, 4.736627e-01
658, 8.951503e-01, 4.043262e-01, 5.743558e-01
659, 8.637214e-01, 2.015602e-01, 6.459707e-01
660, 9.152034e-01, 2.953604e-01, 6.579755e-01
661, 8.744826e-01, 7.182726e-02, 6.324278e-01
662, 8.673022e-01, 7.985982e-02, 4.116225e-01
663, 8.847744e-01, 3.217034e-01, 3.913487e-01
664, 7.918059e-01, 3.591682e-01, 3.981070e-01
665, 7.747723e-01, 2.744701e-01, 4.063365e-01
666, 8.731163e-01, 2.038725e-01, 4.015520e-01
667, 0.000000e+00, 1.999751e-01, 1.243577e-01
668, 0.000000e+00, 9.584867e-02, 8.475147e-02
669, 0.000000e+00, 1.141722e-01, 1.957567e-01
670, 0.000000e+00, 3.073533e-01, 1.671326e-01
671, 2.395078e-01, 0.000000e+00, 3.282866e-01
672, 1.423494e-01, 0.000000e+00, 2.462169e-01
673, 2.949477e-01, 0.000000e+00, 2.338319e-01
674, 5.200431e-01, 0.000000e+00, 1.340812e-01
675, 4.111401e-01, 0.000000e+00, 2.191213e-01
676, 3.781708e-01, 0.000000e+00, 1.143178e-01
677, 8.894316e-02, 0.000000e+00, 1.182763e-01
678, 2.314396e-01, 0.000000e+00, 1.183253e-01
679, 4.977416e-01, 0.000000e+00, 2.733670e-01
680, 3.640959e-01, 0.000000e+00, 3.363079e-01
681, 3.840203e-01, 2.441906e-01, 0.000000e+00
682, 4.595530e-01, 3.593637e-01, 0.000000e+00
683, 5.131721e-01, 2.516781e-01, 0.000000e+00
684, 5.531962e-01, 1.246229e-01, 0.000000e+00
685, 3.406754e-01, 3.471116e-01, 0.000000e+00
686, 1.045431e-01, 2.357041e-01, 0.000000e+00
687, 4.222451e-01, 1.272312e-01, 0.000000e+00
688, 8.856739e-02, 3.420502e-01, 0.000000e+00
689, 1.249010e-01, 1.191795e-01, 0.000000e+00
690, 2.013216e-01, 3.262761e-01, 0.000000e+00
691, 2.111877e-01, 2.040682e-01, 0.000000e+00
692, 2.738051e-01, 1.343036e-01, 0.000000e+00
693, 2.946715e-01, 2.454555e-01, 0.000000e+00
694, 6.134051e-01, 9.656967e-02, 1.653850e-01
695, 6.005351e-01, 1.949088e-01, 2.324770e-01
696, 6.185328e-01, 1.815780e-01, 1.030238e-01
697, 6.018883e-01, 8.391552e-02, 2.543010e-01
698, 6.256605e-01, 8.275797e-02, 7.859337e-02
699, 1.000000e+00, 3.127290e-01, 1.812134e-01
700, 1.000000e+00, 1.304778e-01, 1.999774e-01
701, 1.000000e+00, 3.540085e-01, 2.810455e-01
702, 1.000000e+00, 4.219121e-01, 1.770910e-01
703, 1.000000e+00, 2.182316e-01, 2.636205e-01
704, 1.000000e+00, 2.210445e-01, 1.114578e-01
705, 1.000000e+00, 1.012142e-01, 1.010236e-01
706, 1.000000e+00, 3.371354e-01, 8.860347e-02
707, 1.000000e+00, 1.014885e-01, 2.948108e-01
708, 1.000000e+00, 4.289692e-01, 7.567182e-02
709, 7.041819e-01, 0.000000e+00, 1.761377e-01
710, 7.667955e-01, 0.000000e+00, 3.459850e-01
711, 8.894201e-01, 0.000000e+00, 1.969057e-01
712, 8.101524e-01, 0.000000e+00, 1.102481e-01
713, 6.840899e-01, 0.000000e+00, 2.859925e-01
714, 8.849360e-01, 0.000000e+00, 3.135684e-01
715, 7.899293e-01, 0.000000e+00, 2.381396e-01
716, 7.076028e-01, 0.000000e+00, 7.939465e-02
717, 9.158798e-01, 0.000000e+00, 8.836348e-02
718, 8.197558e-01, 1.849214e-01, 0.000000e+00
719, 9.045150e-01, 2.738297e-01, 0.000000e+00
720, 9.190616e-01, 1.842292e-01, 0.000000e+00
721, 8.054098e-01, 2.912096e-01, 0.000000e+00
722, 8.740820e-01, 8.488789e-02, 0.000000e+00
723, 7.402765e-01, 9.997292e-02, 0.000000e+00
724, 9.015455e-01, 4.406066e-01, 0.000000e+00
725, 8.828630e-01, 3.571596e-01, 0.000000e+00
726, 8.056292e-01, 3.942141e-01, 0.000000e+00
727, 7.113101e-01, 3.218219e-01, 0.000000e+00
728, 7.161861e-01, 2.033384e-01, 0.000000e+00
729, 1.000000e+00, 1.923953e-01, 8.300709e-01
730, 1.000000e+00, 2.871410e-01, 7.748361e-01
731, 1.000000e+00, 2.699192e-01, 8.925317e-01
732, 1.000000e+00, 1.016835e-01, 7.531784e-01
733, 1.000000e+00, 1.011674e-01, 8.980095e-01
734, 1.000000e+00, 2.028414e-01, 7.410943e-01
735, 1.000000e+00, 1.845347e-01, 9.245648e-01
736, 7.340211e-01, 0.000000e+00, 8.224361e-01
737, 7.560251e-01, 0.000000e+00, 7.260212e-01
738, 9.171401e-01, 0.000000e+00, 8.449204e-01
739, 9.233846e-01, 0.000000e+00, 9.214212e-01
740, 8.123376e-01, 0.000000e+00, 8.857211e-01
741, 8.803446e-01, 0.000000e+00, 6.963643e-01
742, 8.499781e-01, 0.000000e+00, 7.880654e-01
743, 7.071980e-01, 0.000000e+00, 9.272543e-01
744, 8.615753e-01, 1.891159e-01, 1.000000e+00
745, 8.273673e-01, 8.564415e-02, 1.000000e+00
746, 9.152776e-01, 7.863206e-02, 1.000000e+00
747, 7.379057e-01, 3.226488e-01, 7.119959e-01
748, 6.842995e-01, 2.285407e-01, 8.676342e-01
749, 6.659833e-01, 9.765425e-02, 9.110142e-01
750, 6.499729e-01, 1.029038e-01, 8.146382e-01
751, 6.584974e-01, 1.859627e-01, 7.695976e-01
752, 1.000000e+00, 5.594140e-01, 6.184802e-01
753, 1.000000e+00, 4.850958e-01, 5.754808e-01
754, 1.000000e+00, 4.799726e-01, 6.895948e-01
755, 4.944514e-01, 4.448171e-01, 6.515779e-01
756, 5.674349e-01, 3.718834e-01, 7.435225e-01
757, 6.411447e-01, 1.000000e+00, 3.765856e-01
758, 4.926914e-01, 0.000000e+00, 8.594435e-01
759, 5.315604e-01, 3.401737e-01, 1.000000e+00
760, 6.100068e-01, 2.493912e-01, 1.000000e+00
761, 4.792696e-01, 1.950090e-01, 1.000000e+00
762, 4.393821e-01, 7.336918e-02, 1.000000e+00
763, 5.620372e-01, 1.070207e-01, 1.000000e+00
764, 1.000000e+00, 7.978109e-01, 8.916563e-01
765, 1.000000e+00, 6.691224e-01, 8.864380e-01
766, 1.000000e+00, 7.281295e-01, 7.761422e-01
767, 1.000000e+00, 9.103024e-01, 9.044654e-01
768, 1.000000e+00, 8.716983e-01, 7.791288e-01
769, 8.594184e-01, 1.000000e+00, 8.590065e-01
770, 9.316974e-01, 1.000000e+00, 9.261562e-01
771, 7.825716e-01, 1.000000e+00, 7.887150e-01
772, 8.688596e-01, 9.284999e-01, 1.000000e+00
773, 8.509990e-01, 7.220260e-01, 1.000000e+00
774, 8.686941e-01, 8.181692e-01, 1.000000e+00
775, 0.000000e+00, 6.340273e-01, 5.987154e-01
776, 0.000000e+00, 9.144822e-01, 6.013193e-01
777, 0.000000e+00, 7.832067e-01, 6.041467e-01
778, 1.189704e-01, 1.000000e+00, 6.411952e-01
779, 2.305757e-01, 1.000000e+00, 6.832924e-01
780, 2.166051e-01, 1.000000e+00, 5.648907e-01
781, 3.220714e-01, 1.000000e+00, 5.913268e-01
782, 3.213962e-01, 5.665726e-01, 5.843746e-01
783, 2.032142e-01, 5.593860e-01, 6.609338e-01
784, 8.909884e-02, 5.506090e-01, 6.598292e-01
785, 1.349402e-01, 8.128766e-01, 7.682993e-01
786, 1.470553e-01, 7.083043e-01, 7.614788e-01
787, 9.017868e-02, 9.054197e-01, 7.690756e-01
788, 0.000000e+00, 4.636118e-01, 7.062484e-01
789, 3.153200e-01, 4.864523e-01, 6.596856e-01
790, 8.287885e-02, 5.253858e-01, 8.240000e-01
791, 1.608893e-01, 5.516252e-01, 8.222148e-01
792, 0.000000e+00, 5.389533e-01, 9.024085e-01
793, 0.000000e+00, 6.411467e-01, 8.623852e-01
794, 0.000000e+00, 9.194500e-01, 8.782130e-01
795, 0.000000e+00, 7.903032e-01, 8.733115e-01
796, 1.304959e-01, 1.000000e+00, 8.944730e-01
797, 1.364547e-01, 5.463232e-01, 1.000000e+00
798, 1.391286e-01, 9.214373e-01, 1.000000e+00
799, 1.382277e-01, 7.944220e-01, 1.000000e+00
800, 1.356411e-01, 6.701214e-01, 1.000000e+00
801, 2.705965e-01, 8.073912e-01, 3.094488e-01
802, 1.072154e-01, 6.440102e-01, 1.460678e-01
803, 2.161362e-01, 6.440102e-01, 1.460678e-01
804, 1.072154e-01, 7.529309e-01, 1.460678e-01
805, 1.072154e-01, 8.618516e-01, 1.460678e-01
806, 1.072154e-01, 5.350895e-01, 1.460678e-01
807, 2.161362e-01, 8.618516e-01, 3.639092e-01
808, 3.250569e-01, 8.618516e-01, 3.639092e-01
809, 3.250569e-01, 7.529309e-01, 3.639092e-01
810, 3.250569e-01, 8.618516e-01, 2.549885e-01
811, 4.339775e-01, 8.618516e-01, 1.460678e-01
812, 2.161362e-01, 8.618516e-01, 2.549885e-01
813, 4.339775e-01, 8.618516e-01, 2.549885e-01
814, 3.250569e-01, 7.529309e-01, 2.549885e-01
815, 3.250569e-01, 8.618516e-01, 1.460678e-01
816, 2.161362e-01, 7.529309e-01, 3.639092e-01
817, 4.339775e-01, 7.529309e-01, 2.549885e-01
818, 4.339775e-01, 7.529309e-01, 1.460678e-01
819, 2.161362e-01, 7.529309e-01, 1.460678e-01
820, 2.161362e-01, 5.350895e-01, 2.549885e-01
821, 2.161362e-01, 6.440102e-01, 3.639092e-01
822, 3.250569e-01, 6.440102e-01, 3.639092e-01
823, 2.161362e-01, 6.440102e-01, 2.549885e-01
824, 3.828751e-01, 5.965468e-01, 2.206115e-01
825, 1.072154e-01, 5.350895e-01, 2.549885e-01
826, 1.321620e-01, 3.119628e-01, 4.946992e-01
827, 1.321620e-01, 1.320891e-01, 5.846360e-01
828, 1.321620e-01, 1.320891e-01, 4.946992e-01
829, 9.420615e-01, 5.205292e-01, 8.518906e-01
830, 1.106334e-01, 1.199487e-01, 8.407761e-01
831, 1.106334e-01, 1.199487e-01, 9.224467e-01
832, 5.682576e-01, 1.307034e-01, 5.400789e-01
833, 8.882494e-01, 8.809592e-01, 1.940076e-01
834, 8.030806e-01, 8.809592e-01, 1.940076e-01
835, 8.030806e-01, 7.957904e-01, 1.088388e-01
836, 8.882494e-01, 7.957904e-01, 1.088388e-01
837, 8.030806e-01, 8.809592e-01, 1.088388e-01
838, 7.179118e-01, 8.809592e-01, 1.088388e-01
839, 8.882494e-01, 7.106216e-01, 1.088388e-01
840, 8.882494e-01, 8.809592e-01, 2.791764e-01
841, 5.049063e-01, 8.666278e-01, 8.012413e-01
842, 6.003286e-01, 8.666278e-01, 8.012413e-01
843, 4.094839e-01, 5.803607e-01, 8.966637e-01
844, 6.003286e-01, 8.666278e-01, 8.966637e-01
845, 4.094839e-01, 7.712054e-01, 8.966637e-01
846, 4.094839e-01, 8.666278e-01, 8.966637e-01
847, 6.003286e-01, 7.712054e-01, 8.966637e-01
848, 5.049063e-01, 7.712054e-01, 8.966637e-01
849, 8.415490e-01, 1.138090e-01, 5.210622e-01
850, 9.190392e-01, 2.687895e-01, 5.210622e-01
851, 1.073007e-01, 8.423859e-02, 1.250281e-01
852, 2.163081e-01, 8.423859e-02, 1.250281e-01
853, 2.163081e-01, 8.423859e-02, 2.340354e-01
854, 1.073007e-01, 1.932459e-01, 1.250281e-01
855, 1.073007e-01, 3.022533e-01, 1.250281e-01
856, 4.343228e-01, 8.423859e-02, 1.250281e-01
857, 4.343228e-01, 8.423859e-02, 2.340354e-01
858, 3.253154e-01, 8.423859e-02, 2.340354e-01
859, 2.163081e-01, 3.022533e-01, 1.250281e-01
860, 3.253154e-01, 1.932459e-01, 1.250281e-01
861, 2.163081e-01, 1.932459e-01, 1.250281e-01
862, 2.163081e-01, 1.932459e-01, 2.340354e-01
863, 3.253154e-01, 3.022533e-01, 1.250281e-01
864, 3.253154e-01, 1.932459e-01, 2.340354e-01
865, 2.163081e-01, 3.022533e-01, 2.340354e-01
866, 8.867307e-01, 3.127577e-01, 1.267631e-01
867, 8.867307e-01, 1.324257e-01, 2.169291e-01
868, 7.965648e-01, 1.324257e-01, 2.169291e-01
869, 7.063988e-01, 1.324257e-01, 1.267631e-01
870, 7.063988e-01, 1.324257e-01, 2.169291e-01
871, 7.063988e-01, 2.225917e-01, 2.169291e-01
872, 7.965648e-01, 1.324257e-01, 3.070951e-01
873, 8.867307e-01, 1.324257e-01, 1.267631e-01
874, 7.965648e-01, 1.324257e-01, 1.267631e-01
875, 7.063988e-01, 2.225917e-01, 1.267631e-01
876, 8.867307e-01, 2.225917e-01, 1.267631e-01
877, 7.965648e-01, 3.127577e-01, 1.267631e-01
878, 7.965648e-01, 2.225917e-01, 1.267631e-01
879, 7.965648e-01, 3.127577e-01, 3.070951e-01
880, 7.965648e-01, 2.225917e-01, 3.070951e-01
881, 8.867307e-01, 3.127577e-01, 3.070951e-01
882, 4.459264e-01, 3.563909e-01, 9.157230e-01
883, 1.443447e-01, 7.796935e-01, 8.660116e-01
*Element, type=C3D4
2607, 3, 158, 375, 406
2608, 422, 404, 365, 16
2609, 368, 805, 804, 150
2610, 807, 812, 370, 381
2611, 427, 426, 396, 167
2612, 813, 810, 815, 814
2613, 372, 366, 153, 806
2614, 180, 416, 825, 820
2615, 816, 821, 401, 402
2616, 810, 812, 374, 815
2617, 393, 368, 804, 150
2618, 806, 394, 802, 386
2619, 390, 388, 407, 818
2620, 821, 422, 820, 423
2621, 390, 175, 407, 22
2622, 383, 427, 160, 379
2623, 388, 407, 408, 172
2624, 806, 802, 803, 386
2625, 824, 817, 6, 409
2626, 808, 810, 376, 375
2627, 818, 23, 408, 424
2628, 805, 812, 819, 815
2629, 426, 389, 396, 167
2630, 175, 818, 407, 408
2631, 426, 168, 389, 167
2632, 169, 390, 407, 22
2633, 816, 801, 819, 812
2634, 384, 374, 162, 815
2635, 821, 816, 823, 367
2636, 389, 426, 818, 390
2637, 823, 824, 820, 803
2638, 367, 816, 400, 403
2639, 388, 12, 172, 164
2640, 811, 384, 391, 815
2641, 816, 823, 804, 819
2642, 404, 821, 367, 403
2643, 422, 181, 820, 423
2644, 377, 808, 376, 375
2645, 367, 812, 804, 364
2646, 415, 817, 9, 178
2647, 806, 419, 803, 820
2648, 427, 383, 396, 811
2649, 170, 406, 413, 808
2650, 805, 393, 804, 150
2651, 385, 818, 815, 397
2652, 422, 821, 820, 825
2653, 415, 179, 14, 822
2654, 818, 388, 408, 172
2655, 179, 822, 178, 8
2656, 427, 383, 160, 21
2657, 801, 823, 819, 814
2658, 13, 415, 14, 822
2659, 4, 378, 413, 375
2660, 417, 416, 418, 820
2661, 393, 399, 368, 151
2662, 411, 174, 178, 817
2663, 817, 23, 408, 818
2664, 179, 415, 178, 822
2665, 373, 805, 812, 381
2666, 372, 394, 369, 806
2667, 812, 801, 819, 814
2668, 818, 811, 813, 424
2669, 817, 412, 813, 809
2670, 810, 801, 809, 808
2671, 19, 181, 423, 418
2672, 400, 367, 370, 807
2673, 812, 367, 370, 364
2674, 367, 812, 370, 807
2675, 385, 818, 803, 392
2676, 822, 18, 17, 423
2677, 174, 23, 817, 411
2678, 417, 388, 824, 172
2679, 391, 397, 815, 387
2680, 148, 373, 381, 364
2681, 821, 822, 824, 809
2682, 812, 805, 374, 815
2683, 805, 163, 395, 373
2684, 813, 811, 815, 380
2685, 379, 378, 380, 813
2686, 388, 164, 172, 417
2687, 24, 817, 813, 424
2688, 812, 364, 370, 381
2689, 816, 821, 809, 401
2690, 378, 176, 413, 813
2691, 13, 18, 17, 822
2692, 812, 805, 364, 381
2693, 421, 153, 420, 806
2694, 9, 7, 412, 809
2695, 364, 148, 370, 381
2696, 379, 20, 425, 160
2697, 148, 382, 370, 381
2698, 388, 818, 408, 407
2699, 404, 422, 171, 16
2700, 379, 813, 425, 177
2701, 418, 822, 414, 824
2702, 399, 368, 369, 802
2703, 417, 418, 11, 824
2704, 389, 811, 391, 818
2705, 417, 824, 392, 803
2706, 805, 812, 804, 819
2707, 170, 7, 809, 412
2708, 23, 24, 817, 411
2709, 421, 372, 153, 806
2710, 397, 819, 815, 387
2711, 373, 148, 149, 364
2712, 366, 806, 369, 363
2713, 818, 385, 815, 391
2714, 817, 822, 809, 824
2715, 176, 410, 5, 813
2716, 812, 819, 815, 814
2717, 816, 367, 804, 823
2718, 363, 368, 364, 804
2719, 810, 812, 815, 814
2720, 363, 367, 804, 364
2721, 806, 394, 419, 166
2722, 372, 421, 394, 806
2723, 367, 816, 804, 812
2724, 366, 806, 825, 420
2725, 818, 811, 815, 813
2726, 817, 813, 815, 814
2727, 384, 374, 815, 380
2728, 421, 806, 419, 166
2729, 807, 401, 809, 808
2730, 807, 377, 808, 376
2731, 382, 157, 807, 381
2732, 384, 396, 391, 161
2733, 383, 384, 161, 396
2734, 801, 807, 809, 808
2735, 823, 802, 804, 803
2736, 157, 377, 807, 381
2737, 818, 817, 815, 814
2738, 816, 401, 403, 402
2739, 157, 377, 158, 405
2740, 813, 378, 375, 413
2741, 7, 415, 809, 9
2742, 423, 821, 171, 402
2743, 817, 818, 824, 814
2744, 816, 405, 403, 401
2745, 812, 373, 381, 374
2746, 404, 821, 403, 402
2747, 821, 816, 403, 402
2748, 817, 9, 5, 412
2749, 817, 411, 9, 178
2750, 805, 163, 374, 387
2751, 405, 816, 403, 400
2752, 383, 811, 379, 384
2753, 805, 393, 819, 804
2754, 426, 811, 396, 389
2755, 817, 818, 813, 424
2756, 169, 388, 407, 390
2757, 168, 426, 389, 390
2758, 163, 805, 395, 387
2759, 374, 163, 162, 387
2760, 817, 824, 809, 814
2761, 813, 817, 809, 814
2762, 811, 389, 391, 396
2763, 823, 802, 820, 825
2764, 372, 394, 166, 10
2765, 823, 363, 825, 365
2766, 421, 372, 166, 10
2767, 15, 180, 420, 825
2768, 822, 423, 820, 418
2769, 372, 421, 166, 394
2770, 811, 426, 424, 818
2771, 371, 805, 368, 150
2772, 822, 415, 178, 817
2773, 410, 378, 176, 159
2774, 410, 24, 813, 177
2775, 390, 389, 385, 818
2776, 806, 394, 369, 802
2777, 426, 175, 818, 390
2778, 806, 419, 398, 803
2779, 821, 367, 823, 363
2780, 816, 801, 812, 807
2781, 154, 366, 365, 825
2782, 404, 155, 365, 16
2783, 153, 366, 15, 420
2784, 7, 170, 809, 401
2785, 18, 13, 14, 822
2786, 391, 384, 162, 815
2787, 394, 399, 369, 802
2788, 416, 180, 181, 820
2789, 366, 372, 369, 806
2790, 152, 399, 369, 394
2791, 410, 378, 159, 379
2792, 410, 159, 20, 379
2793, 383, 811, 384, 396
2794, 812, 374, 381, 376
2795, 406, 3, 413, 375
2796, 388, 12, 169, 407
2797, 426, 168, 175, 390
2798, 24, 410, 813, 5
2799, 813, 413, 375, 808
2800, 811, 426, 818, 389
2801, 817, 174, 6, 409
2802, 812, 807, 808, 376
2803, 811, 379, 380, 813
2804, 811, 384, 380, 379
2805, 386, 806, 398, 803
2806, 378, 410, 813, 379
2807, 801, 810, 809, 814
2808, 363, 368, 802, 369
2809, 822, 18, 414, 14
2810, 810, 374, 376, 380
2811, 404, 367, 155, 403
2812, 382, 2, 370, 400
2813, 824, 6, 173, 409
2814, 367, 823, 363, 804
2815, 816, 801, 814, 823
2816, 824, 11, 409, 173
2817, 412, 176, 813, 413
2818, 377, 405, 808, 406
2819, 806, 363, 802, 369
2820, 817, 9, 412, 809
2821, 3, 4, 413, 375
2822, 810, 380, 376, 375
2823, 388, 390, 385, 818
2824, 812, 801, 808, 807
2825, 423, 181, 820, 418
2826, 372, 152, 369, 394
2827, 813, 24, 424, 425
2828, 811, 427, 379, 425
2829, 427, 379, 425, 160
2830, 24, 813, 177, 425
2831, 394, 806, 398, 386
2832, 393, 368, 150, 151
2833, 157, 382, 400, 2
2834, 821, 404, 171, 402
2835, 412, 813, 808, 413
2836, 810, 812, 376, 374
2837, 175, 426, 818, 424
2838, 179, 822, 173, 414
2839, 170, 412, 808, 413
2840, 383, 427, 396, 21
2841, 384, 811, 391, 396
2842, 801, 816, 814, 809
2843, 801, 816, 809, 807
2844, 371, 805, 395, 373
2845, 396, 427, 167, 21
2846, 386, 819, 804, 803
2847, 819, 393, 386, 804
2848, 367, 400, 155, 403
2849, 417, 165, 398, 392
2850, 821, 822, 809, 401
2851, 813, 810, 808, 375
2852, 810, 813, 809, 814
2853, 393, 399, 386, 802
2854, 388, 818, 385, 392
2855, 165, 417, 398, 419
2856, 399, 394, 386, 802
2857, 803, 417, 398, 392
2858, 404, 821, 825, 365
2859, 821, 367, 363, 365
2860, 419, 417, 398, 803
2861, 23, 175, 408, 424
2862, 823, 824, 814, 809
2863, 20, 379, 425, 177
2864, 180, 422, 825, 154
2865, 23, 817, 424, 818
2866, 823, 821, 824, 809
2867, 818, 824, 803, 392
2868, 816, 823, 814, 809
2869, 373, 371, 1, 395
2870, 421, 394, 806, 166
2871, 816, 821, 823, 809
2872, 163, 373, 1, 395
2873, 806, 416, 419, 820
2874, 802, 806, 820, 825
2875, 806, 802, 820, 803
2876, 811, 384, 815, 380
2877, 810, 812, 808, 376
2878, 23, 24, 424, 817
2879, 159, 378, 176, 4
2880, 422, 180, 825, 820
2881, 180, 422, 181, 820
2882, 822, 19, 418, 414
2883, 418, 824, 414, 11
2884, 400, 367, 156, 370
2885, 400, 2, 370, 156
2886, 382, 400, 370, 807
2887, 368, 363, 802, 804
2888, 176, 378, 413, 4
2889, 400, 367, 155, 156
2890, 824, 822, 414, 173
2891, 2, 382, 370, 148
2892, 817, 818, 815, 813
2893, 426, 811, 424, 425
2894, 821, 823, 824, 820
2895, 377, 158, 405, 406
2896, 374, 162, 815, 387
2897, 406, 170, 401, 808
2898, 406, 413, 808, 375
2899, 172, 824, 409, 408
2900, 822, 821, 402, 401
2901, 817, 174, 178, 6
2902, 172, 417, 11, 409
2903, 422, 821, 171, 423
2904, 404, 821, 171, 422
2905, 417, 824, 11, 409
2906, 824, 417, 172, 409
2907, 810, 813, 380, 375
2908, 374, 805, 387, 815
2909, 810, 801, 812, 814
2910, 805, 163, 373, 374
2911, 396, 383, 21, 161
2912, 813, 412, 808, 809
2913, 393, 819, 386, 397
2914, 805, 373, 812, 374
2915, 397, 386, 392, 803
2916, 818, 819, 815, 397
2917, 417, 388, 392, 824
2918, 374, 810, 815, 380
2919, 166, 394, 419, 398
2920, 388, 164, 417, 392
2921, 823, 363, 804, 802
2922, 371, 373, 1, 149
2923, 805, 819, 387, 815
2924, 422, 154, 365, 825
2925, 816, 401, 809, 807
2926, 806, 416, 825, 420
2927, 819, 818, 815, 814
2928, 373, 805, 381, 364
2929, 388, 818, 824, 172
2930, 806, 416, 420, 419
2931, 805, 393, 387, 819
2932, 175, 168, 22, 390
2933, 179, 822, 414, 14
2934, 822, 19, 423, 418
2935, 388, 12, 407, 172
2936, 174, 23, 408, 817
2937, 406, 377, 375, 808
2938, 382, 807, 370, 381
2939, 405, 816, 807, 401
2940, 802, 386, 804, 803
2941, 824, 818, 408, 172
2942, 813, 810, 809, 808
2943, 817, 818, 408, 824
2944, 824, 11, 173, 414
2945, 377, 157, 807, 405
2946, 405, 816, 400, 807
2947, 821, 823, 820, 825
2948, 823, 821, 363, 365
2949, 366, 15, 420, 825
2950, 404, 422, 365, 825
2951, 821, 404, 825, 422
2952, 418, 19, 11, 414
2953, 410, 378, 813, 176
2954, 3, 170, 406, 413
2955, 18, 822, 414, 19
2956, 405, 406, 401, 808
2957, 379, 410, 813, 177
2958, 427, 383, 811, 379
2959, 819, 386, 397, 803
2960, 162, 391, 815, 387
2961, 415, 817, 809, 9
2962, 417, 164, 165, 392
2963, 806, 394, 398, 419
2964, 153, 366, 420, 806
2965, 372, 152, 394, 10
2966, 372, 421, 153, 10
2967, 412, 817, 813, 5
2968, 176, 412, 813, 5
2969, 812, 805, 804, 364
2970, 817, 411, 5, 9
2971, 368, 805, 364, 804
2972, 181, 416, 820, 418
2973, 818, 388, 824, 392
2974, 811, 813, 424, 425
2975, 426, 427, 811, 425
2976, 158, 377, 375, 406
2977, 385, 397, 392, 803
2978, 386, 803, 398, 392
2979, 399, 152, 369, 151
2980, 379, 811, 425, 813
2981, 819, 823, 804, 803
2982, 822, 821, 820, 423
2983, 165, 166, 419, 398
2984, 175, 818, 408, 424
2985, 175, 390, 407, 818
2986, 405, 401, 807, 808
2987, 405, 377, 808, 807
2988, 822, 821, 824, 820
2989, 411, 24, 817, 5
2990, 817, 24, 813, 5
2991, 421, 806, 420, 419
2992, 410, 20, 177, 379
2993, 810, 813, 815, 380
2994, 415, 822, 809, 817
2995, 823, 819, 814, 803
2996, 810, 801, 808, 812
2997, 806, 416, 820, 825
2998, 822, 18, 423, 19
2999, 13, 822, 402, 401
3000, 821, 816, 367, 403
3001, 13, 822, 17, 402
3002, 423, 171, 17, 402
3003, 816, 367, 807, 812
3004, 367, 816, 807, 400
3005, 824, 823, 814, 803
3006, 371, 805, 364, 368
3007, 157, 405, 400, 807
3008, 382, 157, 400, 807
3009, 818, 819, 803, 814
3010, 419, 417, 803, 820
3011, 824, 818, 803, 814
3012, 802, 823, 820, 803
3013, 170, 401, 808, 809
3014, 412, 170, 808, 809
3015, 813, 378, 380, 375
3016, 154, 180, 15, 825
3017, 366, 154, 15, 825
3018, 393, 802, 386, 804
3019, 418, 822, 824, 820
3020, 416, 180, 825, 420
3021, 812, 816, 804, 819
3022, 368, 399, 369, 151
3023, 404, 367, 365, 155
3024, 393, 805, 387, 395
3025, 371, 805, 150, 395
3026, 395, 371, 1, 150
3027, 805, 393, 150, 395
3028, 366, 363, 365, 825
3029, 818, 811, 391, 815
3030, 426, 427, 396, 811
3031, 363, 823, 825, 802
3032, 821, 823, 825, 365
3033, 822, 179, 173, 8
3034, 806, 363, 825, 802
3035, 817, 174, 409, 408
3036, 806, 366, 825, 363
3037, 824, 417, 820, 803
3038, 821, 404, 367, 365
3039, 417, 418, 824, 820
3040, 416, 417, 419, 820
3041, 391, 385, 815, 397
3042, 824, 817, 409, 408
3043, 393, 819, 397, 387
3044, 154, 422, 365, 16
3045, 384, 391, 162, 161
3046, 389, 818, 391, 385
3047, 801, 816, 819, 823
3048, 423, 402, 822, 821
3049, 822, 402, 423, 17
3050, 415, 809, 401, 7
3051, 401, 809, 415, 822
3052, 401, 13, 415, 7
3053, 415, 13, 401, 822
3054, 173, 8, 824, 822
3055, 173, 824, 8, 6
3056, 376, 807, 381, 812
3057, 376, 381, 807, 377
3058, 6, 178, 824, 8
3059, 6, 824, 178, 817
3060, 822, 824, 178, 8
3061, 822, 178, 824, 817
3062, 397, 818, 803, 385
3063, 397, 803, 818, 819
3064, 371, 373, 364, 805
3065, 364, 373, 371, 149
3066, 393, 802, 368, 399
3067, 368, 802, 393, 804
3068, 442, 827, 438, 441
3069, 440, 827, 438, 828
3070, 826, 171, 422, 437
3071, 447, 826, 444, 451
3072, 436, 827, 429, 434
3073, 435, 450, 188, 433
3074, 826, 431, 422, 452
3075, 28, 193, 447, 198
3076, 186, 432, 445, 33
3077, 422, 180, 181, 452
3078, 439, 193, 30, 448
3079, 453, 454, 448, 828
3080, 826, 422, 181, 452
3081, 439, 443, 448, 828
3082, 31, 439, 30, 448
3083, 447, 197, 26, 29
3084, 193, 31, 30, 448
3085, 192, 32, 456, 441
3086, 25, 37, 18, 423
3087, 444, 447, 448, 828
3088, 826, 171, 423, 422
3089, 431, 826, 428, 433
3090, 187, 433, 188, 449
3091, 436, 827, 440, 429
3092, 183, 436, 440, 429
3093, 182, 435, 429, 440
3094, 184, 827, 455, 456
3095, 171, 16, 422, 437
3096, 447, 453, 448, 828
3097, 826, 446, 195, 34
3098, 447, 193, 444, 448
3099, 442, 439, 443, 191
3100, 442, 35, 443, 194
3101, 826, 446, 445, 195
3102, 455, 184, 185, 434
3103, 430, 36, 445, 196
3104, 32, 436, 456, 441
3105, 827, 436, 440, 441
3106, 443, 194, 444, 827
3107, 435, 450, 433, 828
3108, 193, 439, 443, 448
3109, 446, 171, 196, 37
3110, 431, 826, 437, 430
3111, 826, 431, 428, 430
3112, 433, 450, 188, 449
3113, 442, 192, 456, 441
3114, 197, 447, 26, 451
3115, 827, 442, 456, 441
3116, 180, 431, 422, 154
3117, 450, 435, 27, 189
3118, 429, 827, 828, 434
3119, 35, 442, 443, 191
3120, 435, 450, 27, 188
3121, 19, 197, 18, 423
3122, 448, 454, 438, 828
3123, 186, 432, 430, 445
3124, 827, 194, 455, 456
3125, 443, 439, 827, 828
3126, 446, 826, 445, 196
3127, 32, 183, 436, 441
3128, 447, 29, 26, 444
3129, 439, 190, 438, 448
3130, 436, 827, 434, 184
3131, 197, 19, 451, 423
3132, 432, 826, 455, 434
3133, 431, 180, 452, 15
3134, 451, 826, 181, 452
3135, 431, 187, 452, 449
3136, 428, 826, 432, 434
3137, 190, 454, 438, 448
3138, 826, 453, 828, 449
3139, 826, 453, 449, 451
3140, 186, 36, 445, 430
3141, 826, 430, 445, 196
3142, 193, 447, 444, 29
3143, 432, 826, 445, 195
3144, 182, 183, 440, 429
3145, 440, 828, 438, 189
3146, 439, 448, 438, 828
3147, 826, 451, 449, 452
3148, 826, 453, 451, 447
3149, 431, 826, 433, 449
3150, 453, 450, 828, 449
3151, 453, 450, 454, 828
3152, 25, 446, 37, 423
3153, 37, 17, 18, 423
3154, 435, 182, 27, 189
3155, 187, 431, 433, 449
3156, 827, 194, 34, 455
3157, 446, 826, 444, 34
3158, 25, 446, 444, 34
3159, 16, 422, 437, 154
3160, 436, 183, 440, 441
3161, 826, 422, 423, 181
3162, 443, 444, 448, 828
3163, 450, 435, 189, 440
3164, 194, 442, 827, 443
3165, 454, 190, 438, 189
3166, 827, 436, 456, 184
3167, 435, 182, 189, 440
3168, 826, 827, 34, 455
3169, 827, 826, 34, 444
3170, 35, 442, 192, 456
3171, 436, 32, 456, 184
3172, 432, 455, 185, 434
3173, 826, 428, 433, 828
3174, 826, 25, 444, 26
3175, 17, 171, 423, 37
3176, 826, 451, 181, 423
3177, 187, 431, 452, 15
3178, 194, 442, 456, 827
3179, 431, 180, 15, 154
3180, 826, 432, 455, 195
3181, 193, 439, 30, 443
3182, 826, 451, 423, 26
3183, 25, 26, 423, 18
3184, 436, 827, 456, 441
3185, 439, 442, 827, 438
3186, 28, 197, 447, 29
3187, 826, 827, 828, 444
3188, 443, 827, 444, 828
3189, 450, 454, 828, 189
3190, 826, 827, 455, 434
3191, 195, 826, 34, 455
3192, 439, 442, 443, 827
3193, 450, 433, 828, 449
3194, 451, 447, 26, 444
3195, 826, 446, 25, 423
3196, 193, 28, 447, 29
3197, 432, 826, 430, 445
3198, 433, 826, 828, 449
3199, 431, 826, 422, 437
3200, 451, 19, 181, 423
3201, 826, 446, 171, 196
3202, 36, 16, 196, 437
3203, 826, 431, 452, 449
3204, 827, 440, 438, 441
3205, 16, 171, 196, 437
3206, 440, 450, 828, 189
3207, 439, 827, 828, 438
3208, 428, 429, 828, 434
3209, 826, 428, 432, 430
3210, 446, 826, 25, 444
3211, 193, 443, 444, 448
3212, 184, 827, 434, 455
3213, 194, 827, 34, 444
3214, 827, 826, 828, 434
3215, 826, 428, 828, 434
3216, 31, 190, 439, 448
3217, 193, 198, 448, 447
3218, 31, 193, 198, 448
3219, 429, 435, 433, 828
3220, 25, 826, 423, 26
3221, 431, 180, 422, 452
3222, 35, 442, 456, 194
3223, 195, 432, 455, 185
3224, 33, 432, 195, 185
3225, 428, 429, 433, 828
3226, 827, 429, 828, 440
3227, 451, 826, 444, 26
3228, 828, 454, 438, 189
3229, 33, 432, 445, 195
3230, 439, 443, 191, 30
3231, 429, 435, 828, 440
3232, 437, 36, 430, 196
3233, 435, 450, 828, 440
3234, 422, 431, 437, 154
3235, 423, 446, 171, 826
3236, 423, 171, 446, 37
3237, 447, 828, 826, 453
3238, 826, 828, 447, 444
3239, 437, 196, 826, 171
3240, 826, 196, 437, 430
3241, 423, 197, 26, 451
3242, 423, 26, 197, 18
3243, 47, 43, 48, 474
3244, 462, 475, 473, 210
3245, 464, 43, 44, 472
3246, 473, 475, 472, 51
3247, 475, 462, 204, 50
3248, 475, 474, 472, 51
3249, 460, 199, 829, 465
3250, 475, 462, 458, 461
3251, 829, 39, 206, 466
3252, 203, 460, 465, 38
3253, 475, 473, 210, 51
3254, 469, 457, 463, 829
3255, 467, 464, 40, 206
3256, 829, 469, 457, 459
3257, 469, 201, 457, 459
3258, 205, 45, 209, 458
3259, 460, 203, 468, 461
3260, 469, 458, 829, 470
3261, 473, 475, 458, 470
3262, 465, 199, 829, 466
3263, 49, 203, 461, 468
3264, 471, 45, 202, 458
3265, 203, 460, 468, 465
3266, 469, 201, 459, 42
3267, 462, 205, 50, 473
3268, 464, 474, 472, 470
3269, 829, 460, 468, 461
3270, 462, 475, 210, 50
3271, 45, 471, 209, 458
3272, 41, 39, 463, 457
3273, 207, 469, 463, 470
3274, 473, 205, 209, 458
3275, 473, 46, 472, 470
3276, 462, 475, 458, 473
3277, 829, 464, 463, 470
3278, 464, 467, 829, 466
3279, 460, 199, 465, 38
3280, 472, 46, 44, 470
3281, 464, 43, 472, 474
3282, 201, 459, 200, 457
3283, 460, 829, 200, 459
3284, 199, 39, 829, 466
3285, 471, 458, 469, 470
3286, 43, 47, 472, 474
3287, 467, 464, 206, 466
3288, 202, 469, 459, 42
3289, 469, 463, 457, 41
3290, 471, 469, 459, 202
3291, 467, 208, 48, 474
3292, 469, 207, 463, 41
3293, 465, 460, 468, 829
3294, 458, 471, 459, 202
3295, 471, 458, 459, 469
3296, 467, 465, 829, 466
3297, 829, 206, 464, 466
3298, 48, 43, 40, 474
3299, 473, 475, 470, 472
3300, 458, 829, 470, 461
3301, 199, 39, 457, 829
3302, 46, 473, 209, 470
3303, 462, 205, 473, 458
3304, 463, 44, 207, 470
3305, 467, 829, 468, 461
3306, 467, 465, 468, 829
3307, 472, 464, 470, 44
3308, 464, 467, 474, 470
3309, 469, 829, 463, 470
3310, 469, 201, 41, 457
3311, 464, 467, 470, 829
3312, 829, 199, 200, 457
3313, 458, 475, 461, 470
3314, 474, 47, 472, 51
3315, 463, 44, 470, 464
3316, 460, 199, 200, 829
3317, 458, 460, 829, 461
3318, 39, 829, 463, 457
3319, 475, 462, 461, 204
3320, 39, 829, 206, 463
3321, 829, 464, 206, 463
3322, 201, 459, 42, 200
3323, 462, 473, 50, 210
3324, 467, 48, 40, 474
3325, 464, 467, 40, 474
3326, 474, 475, 472, 470
3327, 459, 829, 200, 457
3328, 829, 467, 470, 461
3329, 46, 473, 472, 51
3330, 460, 199, 38, 200
3331, 43, 464, 40, 474
3332, 458, 209, 470, 471
3333, 458, 470, 209, 473
3334, 459, 829, 458, 460
3335, 459, 458, 829, 469
3336, 467, 468, 475, 461
3337, 467, 470, 475, 474
3338, 475, 470, 467, 461
3339, 49, 468, 204, 208
3340, 49, 204, 468, 461
3341, 475, 204, 468, 208
3342, 475, 468, 204, 461
3343, 475, 467, 208, 468
3344, 208, 467, 475, 474
3345, 479, 53, 412, 477
3346, 413, 216, 483, 482
3347, 476, 477, 52, 480
3348, 58, 479, 214, 483
3349, 476, 211, 56, 482
3350, 479, 480, 483, 215
3351, 412, 170, 478, 483
3352, 412, 477, 176, 413
3353, 482, 476, 481, 483
3354, 412, 7, 57, 170
3355, 412, 53, 5, 477
3356, 476, 480, 481, 483
3357, 412, 9, 5, 478
3358, 479, 53, 478, 412
3359, 53, 412, 5, 478
3360, 7, 412, 57, 478
3361, 170, 412, 413, 483
3362, 413, 216, 170, 483
3363, 479, 58, 478, 54
3364, 477, 479, 213, 480
3365, 479, 477, 483, 480
3366, 477, 412, 176, 5
3367, 9, 53, 5, 478
3368, 212, 476, 52, 480
3369, 9, 53, 478, 54
3370, 53, 479, 213, 477
3371, 212, 476, 480, 481
3372, 212, 215, 55, 481
3373, 58, 479, 478, 214
3374, 477, 476, 413, 483
3375, 476, 211, 482, 481
3376, 214, 483, 478, 57
3377, 482, 476, 3, 56
3378, 480, 215, 481, 483
3379, 476, 482, 3, 413
3380, 412, 479, 483, 478
3381, 477, 4, 176, 413
3382, 479, 214, 483, 478
3383, 412, 477, 413, 483
3384, 483, 170, 478, 57
3385, 4, 476, 3, 413
3386, 413, 216, 482, 3
3387, 476, 4, 52, 477
3388, 170, 483, 216, 57
3389, 56, 482, 216, 3
3390, 413, 216, 3, 170
3391, 55, 476, 481, 211
3392, 483, 413, 482, 476
3393, 170, 412, 478, 57
3394, 4, 476, 413, 477
3395, 412, 7, 9, 478
3396, 479, 58, 215, 483
3397, 477, 476, 483, 480
3398, 53, 479, 478, 54
3399, 212, 480, 215, 481
3400, 412, 479, 477, 483
3401, 55, 476, 212, 481
3402, 480, 477, 52, 213
3403, 60, 218, 217, 219
3404, 484, 53, 9, 54
3405, 8, 221, 178, 484
3406, 59, 486, 485, 219
3407, 411, 24, 64, 488
3408, 486, 218, 484, 485
3409, 62, 218, 485, 484
3410, 411, 64, 5, 53
3411, 487, 62, 485, 484
3412, 6, 221, 178, 8
3413, 487, 488, 485, 65
3414, 411, 484, 9, 178
3415, 174, 221, 487, 484
3416, 221, 174, 178, 484
3417, 221, 6, 178, 174
3418, 66, 486, 488, 65
3419, 484, 486, 54, 217
3420, 62, 63, 487, 485
3421, 411, 23, 24, 488
3422, 23, 411, 220, 488
3423, 218, 486, 484, 217
3424, 486, 218, 485, 219
3425, 64, 411, 488, 53
3426, 411, 174, 487, 484
3427, 486, 64, 488, 53
3428, 221, 62, 487, 484
3429, 411, 486, 488, 53
3430, 61, 487, 485, 65
3431, 487, 63, 61, 485
3432, 488, 487, 220, 65
3433, 221, 62, 484, 8
3434, 62, 221, 487, 63
3435, 411, 53, 5, 9
3436, 59, 61, 485, 65
3437, 484, 411, 9, 53
3438, 411, 174, 220, 487
3439, 218, 486, 217, 219
3440, 174, 411, 178, 484
3441, 486, 484, 54, 53
3442, 411, 24, 5, 64
3443, 411, 23, 220, 174
3444, 486, 66, 488, 64
3445, 486, 411, 484, 53
3446, 411, 487, 220, 488
3447, 486, 66, 59, 65
3448, 65, 486, 485, 59
3449, 65, 485, 486, 488
3450, 485, 488, 484, 486
3451, 485, 484, 488, 487
3452, 411, 484, 488, 486
3453, 411, 488, 484, 487
3454, 484, 8, 62, 489
3455, 218, 484, 62, 489
3456, 484, 478, 491, 54
3457, 179, 8, 178, 489
3458, 68, 218, 62, 489
3459, 72, 57, 492, 7
3460, 72, 69, 13, 489
3461, 415, 179, 178, 489
3462, 478, 54, 58, 491
3463, 74, 490, 492, 67
3464, 415, 72, 7, 13
3465, 490, 72, 71, 492
3466, 492, 222, 491, 73
3467, 217, 484, 491, 54
3468, 415, 14, 179, 489
3469, 478, 58, 214, 491
3470, 218, 70, 217, 222
3471, 57, 492, 478, 214
3472, 492, 484, 478, 491
3473, 72, 490, 71, 69
3474, 9, 415, 478, 7
3475, 218, 70, 222, 67
3476, 415, 9, 484, 178
3477, 74, 492, 222, 67
3478, 492, 478, 214, 491
3479, 492, 218, 222, 67
3480, 73, 492, 58, 491
3481, 484, 490, 492, 489
3482, 74, 490, 71, 492
3483, 69, 14, 13, 489
3484, 68, 490, 489, 69
3485, 415, 484, 492, 489
3486, 415, 72, 492, 7
3487, 415, 9, 478, 484
3488, 490, 72, 489, 69
3489, 492, 74, 222, 73
3490, 484, 9, 478, 54
3491, 14, 415, 13, 489
3492, 415, 72, 13, 489
3493, 415, 492, 478, 7
3494, 490, 218, 492, 67
3495, 484, 415, 178, 489
3496, 72, 415, 492, 489
3497, 8, 484, 178, 489
3498, 490, 72, 492, 489
3499, 70, 218, 217, 60
3500, 484, 218, 492, 490
3501, 58, 492, 214, 491
3502, 218, 68, 67, 490
3503, 492, 57, 478, 7
3504, 415, 484, 478, 492
3505, 489, 218, 490, 68
3506, 489, 490, 218, 484
3507, 222, 492, 484, 218
3508, 484, 492, 222, 491
3509, 484, 217, 222, 218
3510, 222, 217, 484, 491
3511, 513, 82, 503, 83
3512, 830, 514, 235, 506
3513, 502, 497, 223, 75
3514, 229, 504, 501, 831
3515, 513, 82, 509, 503
3516, 194, 499, 35, 512
3517, 236, 500, 512, 76
3518, 232, 513, 514, 506
3519, 234, 79, 80, 495
3520, 830, 499, 500, 501
3521, 34, 830, 235, 511
3522, 228, 77, 515, 231
3523, 232, 513, 503, 83
3524, 194, 499, 512, 830
3525, 502, 229, 501, 831
3526, 226, 510, 80, 495
3527, 502, 497, 830, 223
3528, 226, 493, 510, 495
3529, 456, 498, 32, 192
3530, 510, 234, 80, 495
3531, 77, 227, 228, 515
3532, 505, 830, 506, 831
3533, 194, 456, 35, 499
3534, 508, 504, 229, 831
3535, 515, 504, 236, 500
3536, 234, 510, 511, 507
3537, 830, 499, 512, 500
3538, 223, 497, 830, 494
3539, 228, 504, 500, 501
3540, 509, 234, 511, 507
3541, 82, 513, 509, 78
3542, 225, 505, 496, 507
3543, 195, 493, 511, 510
3544, 513, 78, 235, 511
3545, 502, 497, 508, 831
3546, 494, 830, 496, 831
3547, 494, 493, 496, 830
3548, 235, 830, 506, 511
3549, 498, 456, 499, 35
3550, 493, 455, 830, 494
3551, 195, 455, 493, 185
3552, 184, 455, 185, 494
3553, 830, 505, 506, 511
3554, 500, 515, 76, 236
3555, 504, 505, 506, 831
3556, 504, 228, 229, 501
3557, 33, 195, 493, 185
3558, 78, 34, 235, 511
3559, 830, 505, 496, 831
3560, 497, 508, 831, 224
3561, 495, 225, 496, 507
3562, 502, 508, 229, 831
3563, 505, 830, 496, 511
3564, 497, 502, 830, 831
3565, 455, 493, 185, 494
3566, 830, 504, 831, 501
3567, 456, 498, 494, 184
3568, 224, 505, 496, 225
3569, 497, 508, 224, 75
3570, 503, 509, 511, 507
3571, 228, 504, 515, 500
3572, 514, 504, 231, 506
3573, 830, 493, 496, 511
3574, 513, 232, 503, 506
3575, 513, 235, 506, 511
3576, 497, 224, 831, 496
3577, 503, 233, 234, 507
3578, 456, 455, 494, 830
3579, 497, 494, 831, 830
3580, 503, 513, 511, 509
3581, 194, 830, 512, 235
3582, 498, 456, 494, 830
3583, 504, 830, 236, 500
3584, 233, 79, 234, 507
3585, 456, 455, 184, 494
3586, 194, 455, 830, 34
3587, 223, 498, 32, 184
3588, 502, 830, 831, 501
3589, 79, 495, 507, 225
3590, 224, 505, 831, 496
3591, 503, 83, 81, 84
3592, 82, 83, 81, 503
3593, 510, 234, 495, 507
3594, 498, 223, 830, 494
3595, 498, 502, 830, 223
3596, 233, 503, 81, 84
3597, 504, 830, 500, 501
3598, 503, 233, 81, 509
3599, 494, 497, 831, 496
3600, 514, 232, 506, 231
3601, 508, 505, 831, 224
3602, 497, 502, 508, 75
3603, 227, 228, 515, 500
3604, 234, 79, 495, 507
3605, 82, 503, 81, 509
3606, 233, 503, 234, 509
3607, 514, 830, 235, 236
3608, 78, 513, 509, 511
3609, 195, 33, 493, 510
3610, 500, 230, 512, 76
3611, 456, 498, 499, 830
3612, 500, 499, 512, 230
3613, 508, 502, 229, 75
3614, 504, 228, 515, 231
3615, 235, 830, 512, 236
3616, 505, 503, 511, 507
3617, 194, 455, 456, 830
3618, 513, 514, 506, 235
3619, 233, 509, 234, 81
3620, 504, 514, 515, 236
3621, 514, 504, 830, 236
3622, 498, 456, 35, 192
3623, 830, 500, 512, 236
3624, 498, 223, 494, 184
3625, 498, 499, 830, 501
3626, 34, 455, 830, 511
3627, 195, 455, 34, 511
3628, 194, 34, 830, 235
3629, 504, 514, 231, 515
3630, 504, 508, 505, 831
3631, 503, 505, 511, 506
3632, 513, 503, 511, 506
3633, 194, 456, 499, 830
3634, 33, 226, 493, 510
3635, 502, 498, 830, 501
3636, 509, 503, 234, 507
3637, 498, 456, 32, 184
3638, 227, 515, 76, 500
3639, 35, 499, 230, 512
3640, 830, 506, 504, 514
3641, 504, 506, 830, 831
3642, 507, 496, 511, 505
3643, 507, 496, 493, 511
3644, 493, 496, 507, 495
3645, 493, 510, 507, 511
3646, 507, 510, 493, 495
3647, 511, 455, 493, 195
3648, 511, 493, 455, 830
3649, 522, 93, 92, 91
3650, 516, 63, 523, 221
3651, 525, 240, 69, 518
3652, 238, 516, 63, 523
3653, 527, 92, 11, 523
3654, 516, 520, 523, 517
3655, 173, 489, 179, 414
3656, 520, 245, 523, 517
3657, 524, 85, 240, 518
3658, 489, 173, 179, 8
3659, 237, 516, 517, 520
3660, 526, 87, 239, 517
3661, 237, 87, 526, 517
3662, 238, 245, 89, 517
3663, 243, 519, 518, 524
3664, 63, 516, 62, 221
3665, 489, 68, 69, 525
3666, 489, 14, 414, 518
3667, 19, 18, 197, 518
3668, 516, 238, 517, 523
3669, 489, 14, 179, 414
3670, 522, 244, 521, 527
3671, 414, 19, 197, 518
3672, 246, 526, 239, 517
3673, 527, 244, 521, 28
3674, 62, 489, 8, 221
3675, 520, 522, 245, 91
3676, 522, 244, 527, 93
3677, 522, 92, 245, 91
3678, 527, 525, 519, 523
3679, 173, 489, 414, 523
3680, 173, 489, 523, 221
3681, 173, 414, 11, 523
3682, 88, 526, 241, 520
3683, 489, 173, 8, 221
3684, 526, 237, 517, 520
3685, 526, 520, 517, 245
3686, 520, 527, 519, 523
3687, 242, 520, 519, 525
3688, 489, 414, 523, 525
3689, 68, 516, 525, 489
3690, 414, 527, 518, 197
3691, 522, 527, 519, 520
3692, 86, 243, 524, 519
3693, 520, 516, 523, 525
3694, 527, 414, 518, 525
3695, 414, 527, 11, 523
3696, 87, 237, 526, 520
3697, 521, 29, 197, 28
3698, 516, 489, 523, 525
3699, 489, 525, 69, 518
3700, 527, 521, 197, 28
3701, 18, 197, 518, 26
3702, 90, 246, 517, 245
3703, 18, 19, 414, 518
3704, 489, 414, 525, 518
3705, 238, 245, 517, 523
3706, 519, 525, 518, 524
3707, 414, 527, 523, 525
3708, 516, 68, 525, 237
3709, 526, 246, 245, 517
3710, 88, 237, 520, 242
3711, 522, 527, 92, 93
3712, 87, 88, 237, 520
3713, 246, 90, 517, 239
3714, 527, 525, 518, 519
3715, 243, 521, 518, 519
3716, 516, 68, 62, 489
3717, 18, 14, 518, 414
3718, 237, 516, 520, 525
3719, 242, 237, 520, 525
3720, 527, 521, 518, 197
3721, 88, 87, 526, 520
3722, 527, 19, 197, 414
3723, 521, 527, 518, 519
3724, 221, 173, 8, 6
3725, 520, 526, 241, 91
3726, 197, 521, 518, 26
3727, 14, 489, 69, 518
3728, 524, 525, 518, 240
3729, 521, 243, 518, 26
3730, 29, 521, 197, 26
3731, 19, 527, 11, 414
3732, 86, 242, 519, 524
3733, 242, 525, 519, 524
3734, 245, 90, 89, 517
3735, 243, 86, 524, 85
3736, 243, 521, 29, 26
3737, 527, 522, 519, 521
3738, 525, 520, 519, 523
3739, 526, 245, 91, 520
3740, 91, 245, 526, 246
3741, 243, 518, 85, 524
3742, 85, 518, 243, 26
3743, 516, 221, 489, 62
3744, 489, 221, 516, 523
3745, 520, 527, 245, 522
3746, 520, 245, 527, 523
3747, 92, 245, 527, 522
3748, 92, 527, 245, 523
3749, 832, 244, 522, 544
3750, 832, 532, 253, 530
3751, 539, 252, 519, 536
3752, 534, 256, 100, 528
3753, 832, 531, 535, 529
3754, 256, 832, 542, 540
3755, 832, 256, 522, 540
3756, 521, 193, 537, 29
3757, 198, 832, 28, 193
3758, 31, 193, 30, 535
3759, 531, 832, 535, 530
3760, 93, 832, 522, 544
3761, 537, 521, 29, 536
3762, 832, 534, 528, 256
3763, 522, 832, 519, 521
3764, 530, 832, 535, 538
3765, 542, 832, 98, 539
3766, 832, 521, 537, 536
3767, 543, 529, 101, 528
3768, 256, 534, 100, 541
3769, 832, 193, 538, 537
3770, 832, 539, 519, 536
3771, 521, 243, 536, 519
3772, 258, 832, 544, 529
3773, 521, 243, 29, 536
3774, 198, 544, 535, 250
3775, 96, 533, 248, 255
3776, 531, 832, 528, 529
3777, 533, 96, 541, 255
3778, 534, 832, 533, 541
3779, 258, 529, 250, 101
3780, 530, 832, 538, 253
3781, 832, 257, 253, 532
3782, 94, 832, 539, 98
3783, 256, 91, 522, 540
3784, 832, 256, 528, 543
3785, 534, 247, 100, 541
3786, 534, 832, 528, 531
3787, 95, 97, 532, 253
3788, 93, 832, 544, 258
3789, 93, 832, 258, 256
3790, 533, 257, 248, 255
3791, 540, 91, 522, 520
3792, 93, 832, 256, 522
3793, 258, 832, 529, 543
3794, 254, 542, 539, 540
3795, 540, 254, 88, 520
3796, 258, 544, 250, 529
3797, 832, 257, 532, 533
3798, 544, 529, 535, 250
3799, 198, 832, 193, 535
3800, 521, 832, 519, 536
3801, 258, 832, 543, 256
3802, 533, 257, 532, 248
3803, 242, 252, 519, 539
3804, 94, 832, 537, 539
3805, 532, 95, 253, 530
3806, 532, 832, 531, 530
3807, 254, 242, 88, 520
3808, 832, 543, 528, 529
3809, 254, 540, 539, 520
3810, 241, 540, 88, 520
3811, 538, 30, 535, 249
3812, 544, 832, 535, 529
3813, 95, 530, 538, 253
3814, 832, 193, 535, 538
3815, 258, 543, 529, 101
3816, 193, 198, 535, 31
3817, 533, 832, 531, 532
3818, 534, 832, 531, 533
3819, 832, 244, 521, 522
3820, 530, 538, 535, 249
3821, 832, 257, 533, 255
3822, 257, 97, 532, 248
3823, 243, 86, 536, 519
3824, 86, 252, 536, 519
3825, 832, 244, 544, 521
3826, 539, 832, 519, 520
3827, 832, 193, 537, 521
3828, 256, 93, 522, 91
3829, 242, 254, 539, 520
3830, 253, 832, 538, 537
3831, 544, 244, 522, 93
3832, 241, 91, 540, 520
3833, 543, 528, 101, 251
3834, 530, 95, 538, 249
3835, 97, 257, 532, 253
3836, 247, 96, 541, 533
3837, 540, 832, 520, 522
3838, 832, 544, 28, 521
3839, 542, 832, 539, 540
3840, 255, 832, 542, 541
3841, 534, 247, 541, 533
3842, 533, 832, 255, 541
3843, 544, 832, 28, 198
3844, 94, 832, 253, 537
3845, 540, 832, 539, 520
3846, 542, 539, 98, 99
3847, 832, 257, 255, 98
3848, 257, 832, 253, 98
3849, 94, 539, 537, 536
3850, 94, 252, 539, 536
3851, 544, 244, 28, 521
3852, 832, 544, 535, 198
3853, 832, 94, 253, 98
3854, 242, 539, 519, 520
3855, 254, 542, 99, 539
3856, 242, 252, 86, 519
3857, 542, 255, 99, 98
3858, 521, 193, 29, 28
3859, 251, 256, 543, 528
3860, 832, 255, 542, 98
3861, 251, 256, 528, 100
3862, 193, 538, 30, 535
3863, 31, 198, 535, 250
3864, 193, 832, 28, 521
3865, 539, 832, 537, 536
3866, 832, 522, 519, 520
3867, 832, 256, 542, 541
3868, 832, 534, 256, 541
3869, 556, 102, 557, 553
3870, 560, 559, 561, 546
3871, 70, 102, 556, 553
3872, 547, 261, 546, 564
3873, 547, 551, 545, 262
3874, 551, 562, 110, 263
3875, 491, 58, 73, 112
3876, 552, 558, 549, 550
3877, 558, 268, 111, 552
3878, 559, 558, 550, 549
3879, 264, 558, 111, 552
3880, 564, 66, 486, 64
3881, 267, 104, 557, 560
3882, 564, 559, 486, 546
3883, 559, 556, 553, 217
3884, 268, 58, 479, 559
3885, 259, 558, 105, 550
3886, 551, 562, 563, 564
3887, 547, 551, 563, 564
3888, 212, 552, 55, 215
3889, 547, 551, 262, 108
3890, 552, 111, 55, 215
3891, 261, 547, 563, 564
3892, 551, 563, 263, 108
3893, 102, 107, 557, 553
3894, 555, 559, 560, 546
3895, 102, 103, 556, 557
3896, 107, 559, 557, 553
3897, 104, 560, 106, 548
3898, 479, 53, 486, 54
3899, 268, 558, 559, 479
3900, 107, 560, 267, 557
3901, 564, 261, 546, 109
3902, 562, 265, 64, 554
3903, 559, 555, 486, 546
3904, 268, 58, 215, 479
3905, 549, 212, 52, 480
3906, 547, 551, 546, 545
3907, 555, 59, 556, 486
3908, 551, 547, 546, 564
3909, 479, 559, 486, 549
3910, 555, 564, 486, 546
3911, 558, 264, 105, 550
3912, 267, 104, 560, 106
3913, 545, 259, 561, 260
3914, 559, 558, 549, 479
3915, 548, 555, 109, 104
3916, 59, 219, 556, 486
3917, 556, 70, 217, 60
3918, 103, 555, 556, 557
3919, 222, 491, 73, 553
3920, 551, 564, 546, 550
3921, 559, 556, 217, 486
3922, 219, 556, 486, 217
3923, 551, 547, 563, 108
3924, 559, 555, 556, 486
3925, 549, 559, 486, 564
3926, 66, 555, 486, 59
3927, 266, 66, 486, 564
3928, 106, 548, 560, 260
3929, 555, 266, 486, 564
3930, 555, 266, 564, 546
3931, 562, 551, 549, 564
3932, 58, 491, 559, 112
3933, 213, 479, 549, 480
3934, 268, 479, 215, 552
3935, 555, 66, 486, 266
3936, 559, 491, 217, 553
3937, 546, 545, 561, 260
3938, 552, 212, 549, 480
3939, 564, 559, 546, 550
3940, 266, 564, 546, 109
3941, 549, 559, 564, 550
3942, 213, 549, 52, 480
3943, 479, 552, 549, 480
3944, 562, 551, 110, 549
3945, 548, 555, 560, 546
3946, 558, 479, 552, 549
3947, 262, 545, 105, 550
3948, 555, 103, 104, 557
3949, 559, 479, 486, 54
3950, 104, 560, 548, 555
3951, 559, 107, 557, 560
3952, 549, 110, 554, 52
3953, 219, 556, 217, 60
3954, 264, 558, 552, 550
3955, 559, 556, 555, 557
3956, 552, 268, 111, 215
3957, 551, 545, 550, 546
3958, 491, 222, 217, 553
3959, 547, 261, 563, 108
3960, 549, 562, 564, 554
3961, 104, 560, 555, 557
3962, 562, 551, 563, 263
3963, 559, 556, 557, 553
3964, 553, 491, 73, 112
3965, 559, 555, 560, 557
3966, 551, 549, 564, 550
3967, 107, 559, 553, 112
3968, 103, 555, 59, 556
3969, 212, 552, 215, 480
3970, 546, 545, 550, 561
3971, 213, 549, 554, 52
3972, 552, 479, 215, 480
3973, 262, 551, 545, 550
3974, 559, 546, 550, 561
3975, 545, 259, 105, 550
3976, 558, 559, 550, 561
3977, 559, 491, 553, 112
3978, 268, 558, 479, 552
3979, 268, 58, 559, 112
3980, 54, 559, 58, 491
3981, 54, 58, 559, 479
3982, 560, 546, 260, 548
3983, 260, 546, 560, 561
3984, 562, 554, 110, 265
3985, 110, 554, 562, 549
3986, 213, 53, 549, 479
3987, 213, 549, 53, 554
3988, 486, 549, 53, 479
3989, 546, 555, 109, 548
3990, 546, 109, 555, 266
3991, 217, 70, 553, 222
3992, 217, 553, 70, 556
3993, 217, 559, 54, 491
3994, 217, 54, 559, 486
3995, 554, 564, 64, 562
3996, 561, 550, 259, 545
3997, 561, 259, 550, 558
3998, 64, 53, 564, 554
3999, 64, 564, 53, 486
4000, 549, 564, 53, 554
4001, 549, 53, 564, 486
4002, 834, 840, 64, 488
4003, 833, 573, 568, 587
4004, 834, 424, 835, 488
4005, 266, 66, 564, 840
4006, 573, 113, 269, 568
4007, 276, 573, 584, 587
4008, 269, 576, 572, 270
4009, 833, 573, 587, 837
4010, 590, 65, 839, 592
4011, 177, 574, 425, 575
4012, 587, 584, 579, 837
4013, 266, 590, 840, 567
4014, 582, 168, 426, 581
4015, 577, 277, 838, 575
4016, 833, 836, 839, 835
4017, 839, 836, 585, 835
4018, 576, 573, 269, 568
4019, 582, 593, 175, 22
4020, 833, 573, 837, 576
4021, 425, 427, 160, 575
4022, 584, 277, 838, 577
4023, 261, 109, 564, 567
4024, 585, 584, 581, 837
4025, 833, 836, 835, 837
4026, 580, 839, 281, 586
4027, 833, 576, 834, 578
4028, 116, 590, 566, 839
4029, 563, 263, 108, 270
4030, 833, 565, 836, 568
4031, 587, 833, 836, 568
4032, 562, 840, 564, 64
4033, 576, 574, 834, 578
4034, 834, 833, 835, 837
4035, 263, 563, 840, 578
4036, 574, 576, 834, 577
4037, 562, 263, 563, 840
4038, 839, 571, 566, 594
4039, 427, 167, 588, 426
4040, 565, 836, 570, 839
4041, 590, 65, 488, 839
4042, 840, 66, 64, 488
4043, 574, 834, 265, 589
4044, 574, 834, 425, 575
4045, 276, 113, 573, 587
4046, 839, 582, 593, 835
4047, 565, 836, 568, 570
4048, 177, 834, 24, 425
4049, 585, 582, 835, 581
4050, 834, 574, 577, 575
4051, 425, 177, 575, 20
4052, 23, 424, 592, 175
4053, 110, 574, 578, 265
4054, 579, 836, 583, 570
4055, 576, 573, 837, 577
4056, 573, 113, 568, 587
4057, 424, 834, 838, 425
4058, 277, 838, 427, 588
4059, 573, 584, 587, 837
4060, 562, 110, 578, 265
4061, 584, 577, 838, 837
4062, 577, 834, 838, 837
4063, 66, 840, 64, 564
4064, 584, 588, 581, 838
4065, 563, 263, 270, 578
4066, 836, 587, 579, 837
4067, 593, 839, 835, 592
4068, 835, 424, 838, 426
4069, 833, 834, 840, 578
4070, 424, 23, 835, 488
4071, 833, 573, 576, 568
4072, 839, 593, 591, 592
4073, 839, 583, 570, 273
4074, 272, 571, 594, 115
4075, 563, 261, 840, 569
4076, 24, 834, 64, 488
4077, 427, 21, 277, 588
4078, 280, 593, 591, 580
4079, 839, 571, 594, 586
4080, 833, 576, 837, 834
4081, 836, 579, 583, 585
4082, 576, 568, 269, 572
4083, 271, 266, 109, 567
4084, 590, 839, 840, 567
4085, 117, 280, 591, 580
4086, 582, 839, 580, 583
4087, 265, 834, 64, 589
4088, 839, 582, 585, 583
4089, 274, 579, 570, 275
4090, 834, 576, 837, 577
4091, 839, 836, 583, 585
4092, 839, 583, 273, 586
4093, 839, 580, 583, 586
4094, 839, 571, 570, 566
4095, 427, 21, 160, 277
4096, 571, 839, 570, 273
4097, 261, 563, 840, 564
4098, 271, 590, 566, 115
4099, 594, 279, 281, 586
4100, 573, 277, 584, 577
4101, 424, 835, 175, 426
4102, 582, 593, 280, 580
4103, 839, 66, 840, 488
4104, 840, 563, 270, 578
4105, 834, 424, 24, 425
4106, 563, 562, 840, 564
4107, 836, 568, 570, 275
4108, 839, 580, 281, 591
4109, 839, 594, 281, 586
4110, 834, 577, 838, 575
4111, 424, 834, 835, 838
4112, 839, 590, 840, 66
4113, 177, 574, 834, 425
4114, 590, 266, 840, 66
4115, 114, 279, 594, 586
4116, 425, 834, 838, 575
4117, 168, 582, 426, 175
4118, 427, 277, 160, 575
4119, 591, 839, 592, 281
4120, 579, 836, 570, 275
4121, 840, 562, 265, 64
4122, 271, 590, 567, 566
4123, 571, 566, 594, 115
4124, 266, 840, 564, 567
4125, 573, 584, 837, 577
4126, 571, 114, 586, 273
4127, 562, 263, 840, 578
4128, 574, 177, 834, 589
4129, 65, 590, 488, 66
4130, 838, 835, 426, 581
4131, 840, 834, 64, 265
4132, 834, 837, 835, 838
4133, 177, 574, 20, 278
4134, 277, 584, 838, 588
4135, 427, 425, 838, 575
4136, 113, 587, 275, 568
4137, 588, 167, 581, 426
4138, 583, 274, 570, 273
4139, 116, 839, 566, 594
4140, 566, 116, 594, 115
4141, 571, 114, 594, 586
4142, 582, 835, 426, 175
4143, 167, 168, 581, 426
4144, 839, 833, 840, 567
4145, 585, 837, 581, 835
4146, 563, 569, 840, 270
4147, 574, 110, 278, 589
4148, 569, 563, 108, 270
4149, 837, 584, 581, 838
4150, 177, 574, 278, 589
4151, 584, 579, 837, 585
4152, 424, 834, 24, 488
4153, 23, 424, 24, 488
4154, 569, 833, 840, 572
4155, 580, 117, 281, 591
4156, 569, 840, 270, 572
4157, 261, 563, 108, 569
4158, 110, 574, 265, 589
4159, 582, 839, 585, 835
4160, 116, 590, 839, 592
4161, 424, 23, 592, 835
4162, 833, 565, 572, 569
4163, 835, 593, 592, 175
4164, 565, 833, 572, 568
4165, 427, 167, 21, 588
4166, 834, 24, 64, 589
4167, 834, 177, 24, 589
4168, 833, 587, 836, 837
4169, 263, 562, 110, 578
4170, 839, 116, 592, 281
4171, 590, 839, 488, 66
4172, 168, 582, 175, 22
4173, 424, 835, 592, 175
4174, 116, 65, 590, 592
4175, 114, 571, 594, 272
4176, 427, 425, 426, 838
4177, 590, 116, 566, 115
4178, 425, 424, 426, 838
4179, 835, 837, 581, 838
4180, 116, 839, 594, 281
4181, 576, 833, 568, 572
4182, 117, 580, 281, 586
4183, 835, 582, 426, 581
4184, 279, 117, 281, 586
4185, 565, 839, 570, 566
4186, 274, 579, 583, 570
4187, 836, 839, 583, 570
4188, 271, 266, 567, 590
4189, 839, 590, 566, 567
4190, 266, 109, 567, 564
4191, 571, 839, 273, 586
4192, 565, 839, 566, 567
4193, 427, 588, 838, 426
4194, 425, 575, 160, 20
4195, 573, 277, 276, 584
4196, 593, 582, 175, 835
4197, 574, 177, 20, 575
4198, 277, 427, 838, 575
4199, 593, 582, 280, 22
4200, 838, 588, 581, 426
4201, 578, 270, 572, 576
4202, 572, 270, 578, 840
4203, 572, 833, 578, 576
4204, 578, 833, 572, 840
4205, 836, 585, 837, 579
4206, 837, 585, 836, 835
4207, 835, 833, 488, 839
4208, 835, 488, 833, 834
4209, 840, 488, 833, 839
4210, 840, 833, 488, 834
4211, 567, 833, 569, 565
4212, 567, 569, 833, 840
4213, 840, 261, 567, 569
4214, 840, 567, 261, 564
4215, 65, 220, 839, 592
4216, 65, 839, 220, 488
4217, 839, 220, 835, 592
4218, 839, 835, 220, 488
4219, 835, 220, 23, 592
4220, 835, 23, 220, 488
4221, 836, 275, 587, 568
4222, 587, 275, 836, 579
4223, 265, 578, 834, 574
4224, 265, 840, 578, 562
4225, 265, 578, 840, 834
4226, 580, 593, 839, 582
4227, 580, 839, 593, 591
4228, 839, 833, 565, 836
4229, 839, 565, 833, 567
4230, 600, 282, 596, 25
4231, 194, 235, 512, 444
4232, 598, 537, 444, 536
4233, 26, 596, 25, 444
4234, 282, 598, 596, 118
4235, 249, 595, 597, 538
4236, 538, 443, 597, 599
4237, 95, 249, 597, 538
4238, 595, 443, 249, 30
4239, 283, 598, 119, 596
4240, 443, 595, 191, 30
4241, 95, 595, 597, 249
4242, 538, 599, 253, 537
4243, 599, 538, 253, 597
4244, 191, 35, 230, 512
4245, 597, 236, 512, 76
4246, 34, 194, 444, 235
4247, 599, 236, 512, 597
4248, 283, 252, 598, 536
4249, 595, 443, 512, 597
4250, 600, 34, 25, 444
4251, 193, 443, 537, 444
4252, 600, 34, 444, 235
4253, 95, 538, 597, 253
4254, 595, 597, 512, 76
4255, 598, 283, 536, 596
4256, 598, 600, 596, 444
4257, 443, 538, 30, 193
4258, 443, 595, 249, 538
4259, 599, 94, 253, 537
4260, 443, 599, 537, 444
4261, 598, 600, 235, 78
4262, 537, 599, 598, 444
4263, 600, 34, 235, 78
4264, 443, 249, 30, 538
4265, 35, 194, 512, 443
4266, 443, 599, 512, 597
4267, 85, 283, 596, 536
4268, 598, 600, 444, 235
4269, 86, 252, 283, 536
4270, 194, 443, 444, 512
4271, 94, 252, 536, 598
4272, 538, 443, 537, 193
4273, 283, 86, 536, 85
4274, 235, 599, 512, 444
4275, 86, 243, 536, 85
4276, 443, 599, 444, 512
4277, 595, 443, 597, 538
4278, 598, 119, 596, 118
4279, 443, 538, 537, 599
4280, 284, 600, 282, 598
4281, 595, 95, 597, 76
4282, 236, 599, 512, 235
4283, 537, 193, 444, 29
4284, 252, 283, 598, 119
4285, 284, 600, 598, 78
4286, 94, 252, 598, 119
4287, 599, 598, 444, 235
4288, 443, 35, 191, 512
4289, 595, 512, 230, 76
4290, 596, 600, 25, 444
4291, 598, 536, 444, 596
4292, 536, 537, 444, 29
4293, 284, 598, 282, 118
4294, 600, 598, 596, 282
4295, 191, 512, 595, 443
4296, 595, 512, 191, 230
4297, 598, 537, 94, 599
4298, 598, 94, 537, 536
4299, 29, 243, 444, 536
4300, 444, 243, 29, 26
4301, 243, 596, 444, 536
4302, 444, 596, 243, 26
4303, 243, 85, 596, 536
4304, 596, 85, 243, 26
4305, 555, 103, 59, 604
4306, 605, 120, 121, 289
4307, 590, 66, 65, 59
4308, 605, 289, 121, 604
4309, 555, 266, 109, 602
4310, 590, 290, 65, 116
4311, 590, 606, 290, 116
4312, 590, 115, 606, 116
4313, 603, 61, 604, 290
4314, 605, 555, 104, 285
4315, 286, 122, 601, 606
4316, 590, 65, 604, 59
4317, 555, 66, 590, 59
4318, 121, 289, 288, 604
4319, 603, 289, 288, 124
4320, 61, 603, 287, 290
4321, 122, 602, 601, 606
4322, 555, 266, 602, 590
4323, 103, 605, 121, 604
4324, 602, 555, 104, 109
4325, 602, 605, 604, 606
4326, 555, 602, 104, 285
4327, 289, 603, 290, 124
4328, 65, 61, 604, 59
4329, 590, 271, 601, 115
4330, 289, 603, 288, 604
4331, 602, 590, 271, 601
4332, 590, 602, 606, 601
4333, 555, 590, 604, 59
4334, 605, 555, 604, 103
4335, 605, 289, 604, 606
4336, 266, 602, 590, 271
4337, 603, 123, 290, 124
4338, 605, 555, 103, 104
4339, 123, 603, 290, 287
4340, 590, 602, 604, 606
4341, 115, 286, 601, 606
4342, 602, 266, 109, 271
4343, 602, 555, 605, 285
4344, 555, 602, 605, 604
4345, 289, 606, 290, 604
4346, 590, 115, 601, 606
4347, 555, 66, 266, 590
4348, 605, 602, 285, 120
4349, 606, 590, 290, 604
4350, 602, 555, 590, 604
4351, 603, 289, 290, 604
4352, 65, 604, 290, 590
4353, 65, 290, 604, 61
4354, 122, 606, 120, 602
4355, 122, 120, 606, 289
4356, 605, 120, 606, 602
4357, 605, 606, 120, 289
4358, 408, 407, 175, 593
4359, 591, 117, 281, 610
4360, 591, 607, 610, 593
4361, 11, 608, 292, 172
4362, 11, 92, 292, 608
4363, 238, 487, 611, 523
4364, 592, 487, 408, 608
4365, 610, 612, 592, 608
4366, 220, 592, 408, 23
4367, 22, 407, 169, 593
4368, 220, 23, 408, 174
4369, 487, 220, 408, 174
4370, 609, 407, 610, 607
4371, 123, 238, 287, 611
4372, 591, 117, 291, 280
4373, 612, 487, 608, 611
4374, 612, 290, 65, 61
4375, 407, 22, 175, 593
4376, 612, 591, 610, 592
4377, 591, 612, 281, 592
4378, 608, 613, 292, 172
4379, 612, 487, 592, 608
4380, 117, 591, 291, 610
4381, 610, 591, 593, 592
4382, 487, 608, 611, 523
4383, 238, 89, 245, 611
4384, 609, 610, 408, 608
4385, 487, 63, 221, 523
4386, 609, 125, 613, 607
4387, 63, 238, 523, 487
4388, 287, 290, 611, 61
4389, 607, 591, 291, 280
4390, 592, 23, 175, 408
4391, 11, 608, 409, 523
4392, 613, 609, 608, 292
4393, 220, 487, 408, 592
4394, 221, 174, 409, 6
4395, 608, 408, 409, 523
4396, 612, 487, 611, 61
4397, 407, 609, 613, 607
4398, 92, 11, 523, 608
4399, 245, 92, 523, 608
4400, 591, 612, 610, 281
4401, 290, 612, 611, 61
4402, 612, 592, 65, 116
4403, 612, 281, 592, 116
4404, 125, 609, 291, 607
4405, 174, 487, 409, 408
4406, 408, 608, 409, 172
4407, 607, 609, 291, 610
4408, 591, 607, 291, 610
4409, 290, 123, 287, 611
4410, 607, 407, 610, 593
4411, 11, 173, 523, 409
4412, 238, 245, 523, 611
4413, 608, 11, 409, 172
4414, 487, 220, 65, 592
4415, 245, 608, 523, 611
4416, 609, 407, 408, 610
4417, 408, 487, 523, 608
4418, 612, 487, 65, 592
4419, 487, 612, 65, 61
4420, 221, 173, 409, 523
4421, 610, 592, 408, 608
4422, 613, 407, 12, 172
4423, 407, 607, 12, 169
4424, 125, 607, 12, 613
4425, 487, 174, 409, 221
4426, 592, 408, 175, 593
4427, 487, 221, 409, 523
4428, 173, 221, 409, 6
4429, 89, 238, 123, 611
4430, 607, 591, 280, 593
4431, 22, 607, 280, 593
4432, 609, 125, 292, 613
4433, 408, 487, 409, 523
4434, 290, 612, 65, 116
4435, 607, 407, 12, 613
4436, 607, 22, 169, 593
4437, 238, 63, 61, 487
4438, 407, 607, 169, 593
4439, 608, 613, 408, 609
4440, 608, 408, 613, 172
4441, 407, 408, 613, 609
4442, 407, 613, 408, 172
4443, 593, 408, 610, 592
4444, 593, 610, 408, 407
4445, 61, 611, 238, 487
4446, 61, 238, 611, 287
4447, 553, 614, 107, 40
4448, 553, 102, 614, 70
4449, 73, 74, 553, 112
4450, 48, 553, 615, 112
4451, 222, 553, 67, 70
4452, 74, 48, 615, 112
4453, 126, 102, 67, 614
4454, 553, 74, 615, 112
4455, 614, 102, 67, 70
4456, 614, 553, 67, 615
4457, 47, 43, 615, 48
4458, 126, 43, 614, 615
4459, 48, 43, 614, 40
4460, 48, 43, 615, 614
4461, 553, 222, 67, 615
4462, 222, 74, 67, 615
4463, 102, 553, 614, 107
4464, 74, 222, 553, 615
4465, 222, 73, 74, 553
4466, 553, 48, 615, 614
4467, 48, 553, 112, 107
4468, 74, 47, 615, 48
4469, 126, 614, 67, 615
4470, 553, 614, 67, 70
4471, 553, 48, 614, 40
4472, 48, 553, 107, 40
4473, 556, 219, 59, 485
4474, 239, 618, 90, 517
4475, 238, 89, 603, 517
4476, 70, 218, 556, 67
4477, 556, 218, 219, 485
4478, 604, 617, 121, 616
4479, 618, 603, 288, 124
4480, 516, 238, 63, 61
4481, 603, 516, 485, 61
4482, 238, 516, 603, 61
4483, 516, 617, 616, 517
4484, 516, 218, 485, 62
4485, 123, 89, 603, 238
4486, 617, 618, 517, 603
4487, 604, 102, 126, 103
4488, 126, 604, 103, 121
4489, 604, 617, 616, 516
4490, 126, 616, 121, 127
4491, 102, 70, 556, 67
4492, 126, 604, 121, 616
4493, 238, 287, 61, 603
4494, 516, 62, 485, 63
4495, 89, 123, 603, 124
4496, 618, 89, 603, 124
4497, 218, 556, 219, 60
4498, 616, 617, 121, 127
4499, 618, 617, 288, 603
4500, 89, 618, 90, 124
4501, 618, 89, 90, 517
4502, 516, 218, 616, 485
4503, 604, 556, 59, 485
4504, 218, 516, 616, 68
4505, 67, 218, 616, 68
4506, 604, 516, 616, 485
4507, 293, 617, 616, 127
4508, 287, 123, 603, 238
4509, 102, 604, 556, 103
4510, 556, 218, 485, 616
4511, 617, 239, 517, 618
4512, 604, 617, 288, 121
4513, 604, 556, 485, 616
4514, 617, 237, 616, 517
4515, 516, 63, 485, 61
4516, 556, 604, 126, 616
4517, 102, 556, 126, 67
4518, 102, 604, 126, 556
4519, 604, 617, 517, 603
4520, 617, 604, 517, 516
4521, 516, 604, 517, 603
4522, 67, 556, 126, 616
4523, 237, 617, 616, 293
4524, 218, 556, 67, 616
4525, 617, 239, 87, 517
4526, 604, 603, 485, 61
4527, 516, 237, 616, 68
4528, 556, 604, 59, 103
4529, 218, 516, 68, 62
4530, 237, 516, 616, 517
4531, 617, 604, 288, 603
4532, 293, 617, 87, 517
4533, 604, 516, 485, 603
4534, 604, 485, 59, 61
4535, 516, 238, 603, 517
4536, 89, 618, 603, 517
4537, 218, 70, 556, 60
4538, 237, 293, 87, 517
4539, 237, 617, 293, 517
4540, 624, 631, 847, 848
4541, 297, 844, 623, 632
4542, 308, 130, 643, 843
4543, 629, 474, 847, 208
4544, 637, 306, 845, 650
4545, 626, 629, 475, 847
4546, 640, 299, 639, 625
4547, 842, 844, 841, 847
4548, 492, 842, 58, 214
4549, 631, 844, 632, 625
4550, 51, 130, 843, 71
4551, 133, 295, 638, 621
4552, 631, 622, 844, 846
4553, 303, 81, 627, 84
4554, 624, 629, 626, 847
4555, 846, 635, 628, 296
4556, 846, 634, 636, 845
4557, 308, 646, 843, 643
4558, 51, 843, 130, 648
4559, 297, 632, 298, 129
4560, 268, 842, 58, 112
4561, 651, 846, 305, 845
4562, 650, 637, 843, 845
4563, 631, 846, 628, 296
4564, 624, 848, 845, 628
4565, 629, 204, 475, 208
4566, 651, 306, 636, 305
4567, 624, 628, 845, 634
4568, 631, 624, 847, 625
4569, 637, 306, 636, 845
4570, 846, 622, 621, 296
4571, 640, 639, 847, 625
4572, 843, 644, 309, 645
4573, 492, 848, 643, 71
4574, 842, 268, 641, 112
4575, 848, 650, 843, 845
4576, 83, 81, 627, 82
4577, 492, 848, 74, 847
4578, 648, 50, 626, 304
4579, 74, 48, 641, 847
4580, 83, 304, 647, 627
4581, 624, 848, 843, 845
4582, 642, 842, 623, 111
4583, 303, 637, 302, 630
4584, 846, 619, 649, 621
4585, 303, 81, 307, 627
4586, 650, 848, 841, 845
4587, 651, 650, 841, 845
4588, 848, 846, 841, 845
4589, 622, 846, 619, 841
4590, 216, 56, 649, 482
4591, 846, 651, 841, 845
4592, 619, 846, 649, 841
4593, 643, 848, 843, 71
4594, 216, 651, 57, 841
4595, 481, 620, 211, 482
4596, 630, 637, 302, 634
4597, 48, 74, 641, 112
4598, 635, 128, 638, 301
4599, 640, 629, 49, 299
4600, 628, 846, 845, 634
4601, 651, 216, 649, 841
4602, 642, 842, 844, 623
4603, 633, 647, 304, 627
4604, 844, 622, 623, 841
4605, 846, 305, 621, 649
4606, 131, 308, 644, 843
4607, 626, 633, 843, 648
4608, 268, 620, 842, 111
4609, 308, 131, 130, 843
4610, 297, 631, 622, 844
4611, 624, 626, 848, 847
4612, 204, 629, 475, 626
4613, 842, 844, 847, 639
4614, 630, 624, 845, 634
4615, 848, 492, 74, 71
4616, 483, 216, 57, 841
4617, 624, 629, 847, 625
4618, 842, 492, 847, 841
4619, 637, 303, 307, 843
4620, 622, 844, 846, 841
4621, 639, 844, 847, 625
4622, 626, 624, 848, 843
4623, 210, 51, 648, 475
4624, 474, 629, 475, 208
4625, 629, 640, 847, 625
4626, 214, 842, 483, 841
4627, 844, 642, 632, 300
4628, 631, 297, 632, 844
4629, 620, 481, 841, 482
4630, 268, 642, 842, 639
4631, 842, 639, 847, 641
4632, 492, 842, 214, 841
4633, 620, 619, 211, 482
4634, 131, 644, 309, 843
4635, 49, 629, 208, 204
4636, 846, 305, 636, 638
4637, 483, 216, 841, 482
4638, 631, 622, 846, 296
4639, 842, 620, 481, 841
4640, 111, 642, 298, 623
4641, 848, 846, 845, 628
4642, 492, 848, 841, 650
4643, 635, 295, 638, 128
4644, 637, 630, 845, 634
4645, 639, 640, 847, 641
4646, 632, 642, 298, 129
4647, 626, 210, 475, 50
4648, 648, 50, 210, 626
4649, 306, 651, 636, 845
4650, 648, 131, 309, 843
4651, 642, 842, 639, 844
4652, 633, 647, 627, 843
4653, 303, 307, 843, 627
4654, 642, 632, 300, 129
4655, 651, 846, 649, 305
4656, 633, 647, 648, 304
4657, 204, 626, 475, 50
4658, 306, 637, 134, 650
4659, 646, 650, 132, 134
4660, 642, 268, 842, 111
4661, 216, 841, 482, 649
4662, 642, 844, 632, 298
4663, 846, 651, 649, 841
4664, 842, 620, 623, 111
4665, 268, 620, 111, 215
4666, 214, 483, 57, 841
4667, 56, 619, 649, 482
4668, 648, 626, 475, 843
4669, 848, 650, 643, 843
4670, 631, 844, 848, 846
4671, 645, 82, 647, 627
4672, 650, 646, 643, 843
4673, 633, 624, 843, 630
4674, 51, 648, 475, 843
4675, 474, 51, 475, 843
4676, 844, 848, 841, 847
4677, 846, 622, 619, 621
4678, 639, 844, 625, 300
4679, 844, 632, 625, 300
4680, 635, 846, 301, 638
4681, 640, 629, 847, 208
4682, 81, 83, 627, 84
4683, 842, 620, 215, 481
4684, 128, 635, 621, 296
4685, 295, 635, 621, 128
4686, 306, 651, 845, 650
4687, 133, 294, 621, 649
4688, 846, 635, 301, 628
4689, 492, 848, 847, 841
4690, 619, 620, 623, 841
4691, 268, 620, 215, 842
4692, 492, 72, 71, 643
4693, 72, 650, 132, 643
4694, 619, 620, 841, 482
4695, 481, 483, 841, 482
4696, 640, 629, 299, 625
4697, 481, 842, 841, 483
4698, 846, 305, 845, 636
4699, 305, 133, 621, 649
4700, 642, 844, 639, 300
4701, 635, 846, 621, 296
4702, 492, 214, 57, 841
4703, 650, 651, 841, 57
4704, 619, 294, 649, 621
4705, 299, 639, 625, 300
4706, 845, 634, 636, 302
4707, 630, 633, 627, 843
4708, 650, 646, 132, 643
4709, 846, 301, 636, 634
4710, 72, 492, 57, 650
4711, 646, 308, 132, 643
4712, 637, 845, 636, 302
4713, 622, 297, 844, 623
4714, 633, 624, 626, 843
4715, 481, 842, 483, 215
4716, 846, 305, 638, 621
4717, 626, 210, 648, 475
4718, 637, 630, 843, 845
4719, 650, 637, 134, 843
4720, 646, 650, 134, 843
4721, 842, 268, 58, 215
4722, 633, 647, 843, 648
4723, 842, 58, 483, 215
4724, 637, 634, 845, 302
4725, 846, 635, 621, 638
4726, 83, 82, 627, 647
4727, 651, 305, 636, 845
4728, 635, 295, 621, 638
4729, 634, 301, 636, 302
4730, 844, 846, 841, 848
4731, 305, 133, 638, 621
4732, 642, 844, 298, 623
4733, 620, 481, 211, 55
4734, 648, 843, 309, 647
4735, 304, 633, 626, 648
4736, 56, 294, 649, 619
4737, 640, 629, 208, 49
4738, 846, 301, 634, 628
4739, 81, 82, 645, 627
4740, 303, 637, 630, 843
4741, 644, 646, 307, 843
4742, 848, 492, 643, 650
4743, 492, 72, 643, 650
4744, 307, 81, 645, 627
4745, 131, 648, 130, 843
4746, 631, 844, 847, 848
4747, 641, 640, 847, 208
4748, 308, 644, 843, 646
4749, 844, 631, 847, 625
4750, 842, 268, 639, 641
4751, 622, 619, 623, 841
4752, 130, 643, 843, 71
4753, 309, 82, 647, 645
4754, 492, 650, 841, 57
4755, 843, 309, 647, 645
4756, 620, 842, 623, 841
4757, 301, 846, 636, 638
4758, 842, 844, 623, 841
4759, 843, 645, 647, 627
4760, 630, 624, 843, 845
4761, 843, 307, 645, 627
4762, 842, 58, 214, 483
4763, 620, 111, 215, 55
4764, 644, 307, 645, 843
4765, 303, 630, 627, 843
4766, 481, 620, 215, 55
4767, 841, 619, 482, 649
4768, 56, 619, 482, 211
4769, 631, 846, 848, 628
4770, 624, 631, 848, 628
4771, 297, 631, 296, 622
4772, 629, 474, 475, 847
4773, 632, 844, 623, 298
4774, 297, 632, 623, 298
4775, 47, 48, 847, 474
4776, 47, 847, 48, 74
4777, 848, 47, 847, 474
4778, 848, 847, 47, 74
4779, 71, 848, 47, 74
4780, 847, 48, 208, 474
4781, 847, 208, 48, 641
4782, 112, 842, 847, 641
4783, 112, 58, 847, 842
4784, 492, 847, 58, 842
4785, 847, 475, 848, 474
4786, 847, 848, 475, 626
4787, 843, 848, 475, 474
4788, 843, 475, 848, 626
4789, 843, 134, 307, 637
4790, 843, 307, 134, 646
4791, 848, 47, 843, 71
4792, 848, 843, 47, 474
4793, 51, 843, 47, 71
4794, 51, 47, 843, 474
4795, 74, 112, 847, 641
4796, 73, 74, 847, 492
4797, 847, 74, 73, 112
4798, 847, 58, 73, 492
4799, 73, 58, 847, 112
4800, 660, 318, 653, 658
4801, 316, 652, 313, 656
4802, 255, 542, 659, 849
4803, 288, 618, 664, 617
4804, 663, 288, 664, 617
4805, 666, 663, 665, 850
4806, 96, 316, 656, 661
4807, 318, 660, 137, 658
4808, 256, 657, 662, 541
4809, 542, 99, 255, 659
4810, 850, 659, 137, 254
4811, 850, 654, 653, 315
4812, 659, 99, 137, 254
4813, 660, 850, 137, 658
4814, 652, 849, 661, 312
4815, 542, 255, 541, 849
4816, 314, 652, 662, 138
4817, 256, 662, 849, 541
4818, 652, 317, 662, 138
4819, 652, 317, 138, 313
4820, 655, 311, 659, 312
4821, 654, 663, 122, 315
4822, 657, 662, 541, 849
4823, 655, 311, 850, 659
4824, 663, 850, 664, 665
4825, 526, 617, 87, 293
4826, 663, 121, 654, 289
4827, 850, 542, 849, 659
4828, 289, 663, 288, 664
4829, 666, 655, 849, 662
4830, 663, 666, 315, 850
4831, 850, 655, 659, 849
4832, 666, 655, 315, 850
4833, 316, 652, 135, 313
4834, 655, 666, 315, 314
4835, 655, 850, 653, 315
4836, 311, 660, 850, 659
4837, 850, 663, 654, 315
4838, 121, 663, 288, 289
4839, 666, 655, 662, 314
4840, 652, 655, 849, 312
4841, 239, 618, 617, 664
4842, 850, 663, 664, 617
4843, 526, 665, 91, 246
4844, 652, 316, 135, 661
4845, 654, 289, 120, 122
4846, 652, 317, 656, 662
4847, 660, 311, 653, 136
4848, 663, 850, 654, 658
4849, 850, 660, 653, 658
4850, 850, 127, 137, 658
4851, 542, 850, 254, 659
4852, 318, 310, 653, 658
4853, 618, 124, 288, 664
4854, 663, 121, 288, 617
4855, 850, 127, 658, 617
4856, 317, 657, 662, 100
4857, 526, 665, 246, 664
4858, 127, 850, 137, 254
4859, 665, 850, 664, 617
4860, 656, 652, 849, 661
4861, 239, 526, 246, 664
4862, 99, 542, 254, 659
4863, 850, 542, 254, 540
4864, 662, 657, 656, 849
4865, 657, 256, 662, 100
4866, 311, 660, 653, 850
4867, 652, 317, 313, 656
4868, 121, 663, 654, 658
4869, 657, 247, 541, 100
4870, 256, 657, 541, 100
4871, 121, 289, 120, 654
4872, 654, 850, 653, 658
4873, 127, 121, 658, 617
4874, 665, 526, 293, 617
4875, 655, 311, 653, 850
4876, 665, 526, 91, 241
4877, 665, 241, 91, 540
4878, 542, 850, 665, 540
4879, 659, 255, 849, 661
4880, 317, 657, 656, 662
4881, 655, 652, 849, 662
4882, 316, 652, 656, 661
4883, 127, 850, 293, 617
4884, 850, 665, 293, 617
4885, 239, 90, 664, 246
4886, 314, 655, 662, 652
4887, 124, 289, 288, 664
4888, 90, 239, 664, 618
4889, 654, 121, 658, 120
4890, 256, 665, 91, 540
4891, 256, 542, 665, 540
4892, 88, 526, 87, 293
4893, 850, 127, 293, 254
4894, 660, 850, 659, 137
4895, 654, 120, 658, 310
4896, 652, 135, 312, 661
4897, 256, 666, 849, 662
4898, 96, 247, 541, 656
4899, 662, 652, 849, 656
4900, 310, 654, 653, 658
4901, 655, 666, 849, 850
4902, 90, 124, 618, 664
4903, 96, 541, 849, 656
4904, 542, 256, 849, 541
4905, 850, 542, 665, 849
4906, 666, 850, 665, 849
4907, 542, 256, 665, 849
4908, 256, 666, 665, 849
4909, 289, 663, 122, 654
4910, 526, 239, 87, 617
4911, 96, 656, 849, 661
4912, 658, 663, 617, 121
4913, 658, 617, 663, 850
4914, 241, 88, 665, 526
4915, 241, 665, 88, 540
4916, 293, 665, 88, 526
4917, 849, 96, 255, 541
4918, 849, 255, 96, 661
4919, 318, 653, 136, 660
4920, 318, 136, 653, 310
4921, 664, 526, 617, 239
4922, 664, 617, 526, 665
4923, 312, 849, 659, 655
4924, 312, 659, 849, 661
4925, 656, 541, 657, 247
4926, 656, 657, 541, 849
4927, 665, 88, 850, 293
4928, 665, 850, 88, 540
4929, 254, 850, 88, 293
4930, 254, 88, 850, 540
4931, 419, 165, 690, 166
4932, 674, 856, 676, 675
4933, 187, 452, 670, 15
4934, 860, 856, 676, 692
4935, 92, 527, 864, 695
4936, 674, 140, 698, 326
4937, 860, 856, 687, 681
4938, 864, 244, 544, 857
4939, 447, 864, 544, 857
4940, 448, 447, 857, 858
4941, 447, 244, 544, 864
4942, 292, 696, 683, 328
4943, 676, 852, 692, 324
4944, 863, 685, 417, 682
4945, 667, 321, 855, 686
4946, 864, 860, 695, 857
4947, 180, 181, 865, 416
4948, 452, 449, 187, 855
4949, 856, 860, 687, 692
4950, 864, 453, 862, 858
4951, 860, 856, 695, 857
4952, 674, 856, 675, 857
4953, 325, 856, 698, 684
4954, 861, 686, 854, 855
4955, 852, 689, 691, 692
4956, 861, 693, 692, 691
4957, 856, 694, 695, 857
4958, 682, 125, 12, 613
4959, 19, 418, 11, 527
4960, 19, 418, 451, 181
4961, 675, 676, 673, 858
4962, 863, 693, 681, 860
4963, 527, 447, 244, 28
4964, 674, 325, 676, 856
4965, 11, 863, 417, 172
4966, 329, 696, 684, 698
4967, 325, 698, 856, 674
4968, 696, 856, 698, 694
4969, 420, 419, 855, 421
4970, 853, 852, 858, 673
4971, 685, 863, 417, 419
4972, 418, 863, 11, 527
4973, 325, 856, 684, 687
4974, 864, 451, 862, 453
4975, 669, 449, 854, 187
4976, 854, 667, 670, 855
4977, 689, 852, 323, 692
4978, 852, 689, 861, 691
4979, 672, 188, 320, 450
4980, 27, 672, 320, 450
4981, 682, 164, 417, 172
4982, 863, 859, 861, 862
4983, 689, 668, 677, 851
4984, 863, 92, 11, 527
4985, 685, 419, 165, 690
4986, 859, 863, 861, 693
4987, 696, 683, 328, 684
4988, 682, 863, 172, 417
4989, 676, 856, 687, 692
4990, 678, 852, 676, 324
4991, 181, 180, 865, 452
4992, 686, 321, 855, 688
4993, 667, 321, 686, 322
4994, 449, 452, 865, 855
4995, 853, 852, 862, 858
4996, 453, 853, 450, 862
4997, 420, 153, 421, 855
4998, 188, 27, 320, 450
4999, 325, 676, 687, 324
5000, 668, 689, 854, 851
5001, 671, 680, 673, 858
5002, 859, 686, 861, 855
5003, 420, 452, 670, 855
5004, 125, 682, 683, 613
5005, 672, 669, 851, 320
5006, 667, 321, 670, 855
5007, 859, 863, 419, 416
5008, 139, 689, 677, 323
5009, 678, 853, 672, 673
5010, 668, 319, 677, 851
5011, 689, 139, 677, 668
5012, 449, 453, 450, 862
5013, 419, 690, 855, 421
5014, 854, 669, 851, 862
5015, 153, 421, 855, 688
5016, 859, 419, 855, 420
5017, 92, 863, 864, 527
5018, 861, 859, 855, 862
5019, 92, 863, 11, 292
5020, 321, 153, 670, 855
5021, 527, 92, 93, 695
5022, 421, 153, 10, 688
5023, 852, 678, 673, 853
5024, 860, 687, 692, 681
5025, 685, 419, 417, 165
5026, 864, 527, 857, 695
5027, 860, 852, 692, 676
5028, 679, 857, 680, 250
5029, 448, 198, 680, 857
5030, 12, 682, 613, 172
5031, 180, 452, 420, 865
5032, 860, 864, 862, 858
5033, 679, 675, 680, 857
5034, 198, 544, 250, 680
5035, 863, 864, 865, 862
5036, 198, 857, 544, 680
5037, 292, 125, 683, 613
5038, 164, 685, 417, 165
5039, 187, 854, 670, 855
5040, 697, 679, 258, 857
5041, 683, 856, 687, 684
5042, 679, 697, 101, 327
5043, 856, 674, 698, 694
5044, 696, 856, 683, 684
5045, 857, 697, 695, 258
5046, 669, 853, 851, 862
5047, 447, 864, 857, 858
5048, 447, 527, 244, 864
5049, 693, 863, 861, 860
5050, 854, 861, 855, 862
5051, 418, 863, 527, 864
5052, 188, 672, 669, 450
5053, 418, 19, 197, 527
5054, 853, 454, 450, 672
5055, 451, 449, 862, 453
5056, 671, 448, 680, 858
5057, 852, 861, 692, 691
5058, 319, 668, 669, 851
5059, 672, 320, 851, 677
5060, 451, 181, 865, 452
5061, 667, 669, 854, 187
5062, 860, 863, 861, 862
5063, 244, 527, 93, 695
5064, 244, 527, 857, 864
5065, 863, 292, 683, 682
5066, 125, 292, 683, 328
5067, 319, 669, 677, 851
5068, 418, 451, 181, 865
5069, 452, 180, 420, 15
5070, 326, 674, 694, 698
5071, 863, 859, 865, 416
5072, 322, 667, 668, 854
5073, 690, 419, 166, 421
5074, 452, 420, 865, 855
5075, 852, 860, 858, 676
5076, 667, 686, 855, 854
5077, 856, 860, 858, 857
5078, 452, 187, 670, 855
5079, 859, 686, 691, 861
5080, 686, 859, 691, 690
5081, 454, 671, 672, 853
5082, 672, 853, 669, 450
5083, 856, 696, 695, 694
5084, 693, 859, 691, 861
5085, 852, 853, 851, 672
5086, 859, 693, 691, 690
5087, 853, 669, 450, 862
5088, 689, 322, 668, 854
5089, 449, 854, 187, 855
5090, 685, 164, 417, 682
5091, 447, 451, 864, 453
5092, 164, 682, 12, 172
5093, 418, 863, 417, 11
5094, 419, 859, 416, 420
5095, 322, 689, 686, 854
5096, 667, 322, 686, 854
5097, 421, 690, 855, 688
5098, 669, 667, 854, 851
5099, 420, 859, 865, 855
5100, 857, 448, 858, 680
5101, 852, 860, 692, 861
5102, 451, 418, 864, 865
5103, 188, 449, 450, 669
5104, 418, 181, 416, 865
5105, 453, 853, 862, 858
5106, 451, 864, 862, 865
5107, 669, 449, 450, 862
5108, 863, 418, 416, 865
5109, 682, 292, 683, 613
5110, 418, 863, 864, 865
5111, 667, 668, 854, 851
5112, 857, 679, 258, 544
5113, 668, 667, 669, 851
5114, 674, 675, 679, 857
5115, 674, 326, 694, 327
5116, 678, 323, 677, 851
5117, 678, 852, 323, 851
5118, 672, 853, 851, 669
5119, 323, 689, 677, 851
5120, 859, 863, 865, 862
5121, 694, 697, 695, 857
5122, 671, 448, 853, 453
5123, 320, 669, 851, 677
5124, 447, 527, 197, 28
5125, 852, 689, 323, 851
5126, 861, 689, 851, 854
5127, 852, 689, 851, 861
5128, 861, 852, 862, 851
5129, 852, 853, 862, 851
5130, 852, 860, 862, 858
5131, 454, 671, 853, 453
5132, 153, 321, 10, 688
5133, 671, 454, 448, 453
5134, 690, 686, 855, 688
5135, 447, 198, 544, 28
5136, 244, 447, 544, 28
5137, 853, 454, 453, 450
5138, 863, 92, 864, 695
5139, 854, 861, 862, 851
5140, 93, 544, 695, 258
5141, 860, 852, 862, 861
5142, 448, 190, 680, 31
5143, 198, 448, 680, 31
5144, 697, 674, 857, 694
5145, 448, 853, 453, 858
5146, 680, 675, 673, 858
5147, 696, 856, 684, 698
5148, 325, 140, 684, 698
5149, 671, 454, 672, 189
5150, 856, 683, 687, 681
5151, 448, 671, 853, 858
5152, 853, 671, 673, 858
5153, 860, 864, 858, 857
5154, 678, 852, 672, 853
5155, 865, 449, 855, 862
5156, 689, 139, 668, 322
5157, 678, 672, 851, 677
5158, 544, 857, 250, 680
5159, 153, 420, 670, 855
5160, 859, 865, 855, 862
5161, 292, 682, 172, 613
5162, 454, 671, 190, 189
5163, 671, 454, 190, 448
5164, 292, 863, 172, 682
5165, 329, 696, 328, 684
5166, 863, 685, 693, 690
5167, 859, 863, 693, 690
5168, 451, 452, 865, 449
5169, 668, 139, 677, 319
5170, 856, 860, 695, 683
5171, 863, 860, 864, 862
5172, 449, 188, 187, 669
5173, 696, 856, 695, 683
5174, 697, 674, 679, 857
5175, 674, 856, 857, 694
5176, 856, 860, 683, 681
5177, 448, 671, 680, 190
5178, 92, 863, 292, 695
5179, 697, 679, 101, 258
5180, 198, 447, 544, 857
5181, 860, 863, 864, 695
5182, 697, 674, 327, 679
5183, 696, 292, 683, 695
5184, 863, 860, 683, 695
5185, 292, 863, 683, 695
5186, 189, 454, 672, 450
5187, 856, 675, 858, 676
5188, 675, 856, 858, 857
5189, 189, 27, 450, 672
5190, 860, 856, 858, 676
5191, 853, 671, 672, 673
5192, 676, 678, 673, 858
5193, 678, 852, 673, 858
5194, 419, 859, 855, 690
5195, 852, 678, 676, 858
5196, 416, 180, 420, 865
5197, 859, 416, 420, 865
5198, 679, 250, 101, 258
5199, 679, 544, 250, 258
5200, 153, 321, 688, 855
5201, 449, 669, 854, 862
5202, 682, 863, 681, 683
5203, 449, 854, 855, 862
5204, 188, 672, 320, 669
5205, 452, 420, 670, 15
5206, 685, 863, 681, 682
5207, 859, 686, 855, 690
5208, 678, 852, 851, 672
5209, 687, 676, 692, 324
5210, 863, 685, 681, 693
5211, 863, 860, 681, 683
5212, 860, 693, 692, 861
5213, 667, 854, 670, 187
5214, 856, 325, 676, 687
5215, 140, 329, 684, 698
5216, 527, 244, 857, 695
5217, 15, 420, 670, 153
5218, 697, 674, 694, 327
5219, 166, 421, 10, 688
5220, 19, 418, 197, 451
5221, 527, 447, 197, 864
5222, 857, 675, 680, 858
5223, 198, 447, 857, 448
5224, 447, 451, 197, 864
5225, 418, 527, 197, 864
5226, 863, 418, 417, 416
5227, 419, 863, 417, 416
5228, 292, 863, 11, 172
5229, 674, 140, 325, 698
5230, 451, 418, 197, 864
5231, 544, 857, 695, 258
5232, 250, 198, 680, 31
5233, 679, 857, 250, 544
5234, 319, 669, 320, 677
5235, 449, 451, 862, 865
5236, 166, 690, 421, 688
5237, 693, 860, 692, 681
5238, 324, 852, 323, 678
5239, 324, 323, 852, 692
5240, 858, 447, 453, 448
5241, 858, 453, 447, 864
5242, 861, 686, 689, 854
5243, 861, 689, 686, 691
5244, 695, 244, 544, 93
5245, 695, 544, 244, 857
5246, 690, 863, 419, 859
5247, 690, 419, 863, 685
5248, 714, 138, 707, 662
5249, 715, 713, 870, 709
5250, 875, 727, 609, 877
5251, 717, 705, 331, 141
5252, 713, 543, 697, 101
5253, 703, 876, 700, 867
5254, 873, 867, 868, 711
5255, 867, 873, 700, 711
5256, 703, 704, 700, 876
5257, 664, 611, 879, 89
5258, 725, 706, 866, 719
5259, 877, 608, 879, 612
5260, 606, 702, 866, 612
5261, 317, 100, 662, 710
5262, 877, 608, 871, 879
5263, 703, 666, 315, 881
5264, 694, 709, 869, 870
5265, 876, 867, 881, 880
5266, 289, 290, 881, 879
5267, 872, 715, 868, 867
5268, 873, 874, 868, 878
5269, 716, 698, 869, 723
5270, 874, 873, 868, 711
5271, 710, 100, 662, 256
5272, 724, 708, 334, 114
5273, 611, 245, 879, 89
5274, 705, 717, 332, 141
5275, 706, 704, 719, 333
5276, 704, 719, 333, 720
5277, 878, 874, 871, 869
5278, 245, 91, 879, 246
5279, 874, 873, 711, 712
5280, 727, 875, 721, 877
5281, 666, 880, 663, 881
5282, 696, 329, 869, 698
5283, 281, 594, 116, 612
5284, 91, 665, 879, 246
5285, 726, 727, 721, 877
5286, 872, 666, 880, 256
5287, 870, 872, 871, 256
5288, 703, 666, 707, 314
5289, 872, 710, 662, 256
5290, 714, 872, 715, 710
5291, 725, 706, 708, 866
5292, 873, 874, 722, 712
5293, 875, 878, 871, 869
5294, 332, 704, 333, 720
5295, 594, 724, 866, 281
5296, 245, 90, 246, 879
5297, 877, 879, 871, 880
5298, 91, 665, 256, 880
5299, 666, 707, 314, 662
5300, 876, 873, 868, 878
5301, 866, 606, 612, 881
5302, 873, 876, 718, 878
5303, 694, 697, 709, 870
5304, 874, 873, 718, 878
5305, 704, 873, 705, 700
5306, 874, 709, 868, 870
5307, 877, 875, 721, 878
5308, 709, 874, 712, 869
5309, 724, 279, 281, 594
5310, 718, 876, 721, 878
5311, 666, 665, 880, 256
5312, 695, 92, 871, 292
5313, 873, 717, 711, 712
5314, 725, 726, 721, 877
5315, 873, 876, 720, 718
5316, 876, 866, 721, 878
5317, 876, 878, 868, 880
5318, 707, 714, 662, 867
5319, 91, 256, 871, 880
5320, 866, 876, 721, 719
5321, 328, 875, 696, 728
5322, 606, 702, 115, 286
5323, 725, 866, 877, 721
5324, 696, 875, 871, 869
5325, 716, 709, 712, 869
5326, 706, 719, 334, 333
5327, 706, 725, 334, 719
5328, 718, 874, 723, 722
5329, 704, 873, 876, 720
5330, 876, 873, 700, 867
5331, 92, 93, 695, 871
5332, 876, 704, 719, 866
5333, 698, 329, 869, 723
5334, 328, 727, 875, 728
5335, 874, 868, 712, 711
5336, 879, 877, 612, 881
5337, 606, 290, 612, 881
5338, 726, 610, 117, 291
5339, 666, 703, 867, 880
5340, 705, 704, 332, 720
5341, 716, 140, 723, 335
5342, 608, 92, 292, 871
5343, 875, 877, 871, 878
5344, 90, 664, 879, 89
5345, 727, 875, 609, 292
5346, 717, 873, 722, 712
5347, 664, 665, 246, 879
5348, 91, 245, 879, 871
5349, 867, 876, 868, 880
5350, 91, 92, 245, 871
5351, 608, 245, 871, 879
5352, 606, 122, 701, 286
5353, 866, 877, 612, 610
5354, 696, 694, 869, 870
5355, 695, 694, 696, 870
5356, 875, 728, 869, 696
5357, 872, 714, 662, 710
5358, 272, 594, 114, 708
5359, 709, 874, 869, 870
5360, 695, 696, 871, 870
5361, 714, 138, 330, 707
5362, 694, 696, 869, 698
5363, 290, 611, 612, 879
5364, 707, 867, 700, 711
5365, 728, 874, 878, 869
5366, 727, 726, 609, 877
5367, 722, 336, 712, 335
5368, 258, 93, 256, 870
5369, 713, 327, 697, 709
5370, 875, 608, 292, 871
5371, 703, 707, 867, 700
5372, 725, 706, 334, 708
5373, 695, 93, 870, 871
5374, 876, 703, 881, 867
5375, 877, 878, 881, 880
5376, 867, 703, 881, 880
5377, 608, 611, 879, 612
5378, 702, 594, 708, 866
5379, 326, 694, 709, 698
5380, 705, 332, 722, 720
5381, 874, 722, 712, 723
5382, 877, 866, 881, 878
5383, 726, 727, 609, 291
5384, 881, 666, 315, 663
5385, 866, 725, 719, 721
5386, 289, 606, 881, 290
5387, 141, 717, 332, 722
5388, 717, 705, 332, 722
5389, 93, 258, 695, 870
5390, 714, 872, 867, 715
5391, 726, 281, 117, 610
5392, 93, 870, 871, 256
5393, 281, 866, 612, 610
5394, 728, 718, 721, 878
5395, 315, 122, 701, 663
5396, 608, 245, 879, 611
5397, 666, 872, 662, 256
5398, 245, 90, 879, 89
5399, 716, 698, 709, 869
5400, 289, 664, 879, 881
5401, 866, 702, 881, 701
5402, 702, 606, 116, 612
5403, 90, 664, 246, 879
5404, 878, 877, 871, 880
5405, 872, 880, 871, 256
5406, 272, 702, 115, 594
5407, 698, 694, 709, 869
5408, 327, 694, 697, 709
5409, 716, 326, 709, 698
5410, 702, 606, 701, 286
5411, 664, 289, 663, 881
5412, 724, 726, 281, 117
5413, 724, 279, 594, 708
5414, 279, 724, 281, 117
5415, 724, 279, 708, 114
5416, 666, 703, 315, 314
5417, 125, 727, 609, 292
5418, 727, 125, 609, 291
5419, 876, 718, 721, 719
5420, 125, 328, 727, 292
5421, 336, 717, 141, 722
5422, 875, 728, 878, 869
5423, 713, 697, 870, 709
5424, 713, 872, 870, 543
5425, 724, 725, 334, 708
5426, 664, 90, 124, 89
5427, 702, 272, 708, 594
5428, 91, 871, 256, 93
5429, 543, 872, 870, 256
5430, 594, 281, 866, 612
5431, 702, 594, 866, 612
5432, 706, 702, 708, 866
5433, 724, 725, 708, 866
5434, 326, 716, 140, 698
5435, 609, 608, 877, 610
5436, 713, 543, 870, 697
5437, 606, 702, 881, 866
5438, 258, 543, 870, 256
5439, 140, 716, 723, 698
5440, 706, 704, 699, 866
5441, 331, 330, 700, 711
5442, 879, 877, 881, 880
5443, 606, 290, 116, 612
5444, 704, 876, 699, 866
5445, 704, 703, 699, 876
5446, 713, 543, 101, 251
5447, 327, 326, 694, 709
5448, 699, 866, 881, 701
5449, 251, 256, 710, 543
5450, 702, 866, 699, 701
5451, 872, 713, 710, 543
5452, 329, 140, 723, 698
5453, 703, 666, 881, 880
5454, 877, 866, 612, 881
5455, 875, 728, 721, 878
5456, 875, 727, 721, 728
5457, 666, 665, 663, 880
5458, 702, 706, 699, 866
5459, 327, 713, 697, 101
5460, 543, 258, 697, 101
5461, 664, 879, 881, 663
5462, 866, 876, 881, 878
5463, 878, 876, 881, 880
5464, 715, 709, 870, 868
5465, 873, 705, 722, 720
5466, 329, 728, 869, 723
5467, 707, 714, 867, 711
5468, 874, 728, 723, 869
5469, 728, 874, 723, 718
5470, 330, 714, 707, 711
5471, 872, 713, 870, 715
5472, 543, 258, 870, 697
5473, 873, 704, 705, 720
5474, 872, 666, 867, 880
5475, 873, 718, 720, 722
5476, 695, 694, 870, 697
5477, 704, 873, 700, 876
5478, 258, 695, 870, 697
5479, 867, 715, 868, 711
5480, 727, 328, 875, 292
5481, 872, 713, 715, 710
5482, 608, 92, 871, 245
5483, 881, 315, 701, 663
5484, 872, 715, 870, 868
5485, 290, 879, 612, 881
5486, 866, 876, 699, 881
5487, 867, 872, 880, 868
5488, 876, 703, 699, 881
5489, 606, 702, 701, 881
5490, 664, 665, 879, 663
5491, 704, 876, 719, 720
5492, 696, 869, 871, 870
5493, 92, 91, 93, 871
5494, 594, 279, 114, 708
5495, 608, 875, 292, 877
5496, 868, 878, 871, 880
5497, 335, 716, 712, 723
5498, 594, 702, 116, 612
5499, 702, 606, 115, 116
5500, 329, 328, 696, 728
5501, 609, 608, 292, 877
5502, 594, 702, 115, 116
5503, 875, 328, 696, 292
5504, 880, 879, 663, 881
5505, 875, 609, 292, 877
5506, 665, 879, 663, 880
5507, 91, 879, 880, 871
5508, 703, 881, 315, 701
5509, 875, 608, 871, 877
5510, 703, 699, 881, 701
5511, 872, 868, 870, 871
5512, 872, 543, 710, 256
5513, 868, 872, 880, 871
5514, 866, 877, 721, 878
5515, 868, 715, 712, 711
5516, 874, 873, 722, 718
5517, 873, 705, 717, 722
5518, 722, 335, 712, 723
5519, 717, 336, 712, 722
5520, 665, 91, 879, 880
5521, 726, 609, 877, 610
5522, 609, 726, 291, 610
5523, 718, 876, 720, 719
5524, 704, 706, 719, 866
5525, 728, 329, 869, 696
5526, 608, 877, 610, 612
5527, 873, 876, 868, 867
5528, 705, 331, 700, 711
5529, 714, 715, 867, 711
5530, 874, 728, 878, 718
5531, 330, 707, 700, 711
5532, 873, 705, 700, 711
5533, 543, 713, 710, 251
5534, 251, 256, 100, 710
5535, 714, 317, 662, 710
5536, 594, 724, 708, 866
5537, 666, 703, 707, 867
5538, 874, 868, 871, 870
5539, 874, 878, 871, 868
5540, 869, 874, 871, 870
5541, 714, 872, 662, 867
5542, 714, 317, 138, 662
5543, 707, 138, 314, 662
5544, 868, 712, 709, 874
5545, 868, 709, 712, 715
5546, 711, 705, 717, 873
5547, 711, 717, 705, 331
5548, 725, 877, 610, 726
5549, 610, 877, 725, 866
5550, 725, 610, 281, 726
5551, 281, 610, 725, 866
5552, 725, 281, 724, 726
5553, 724, 281, 725, 866
5554, 869, 712, 723, 874
5555, 869, 723, 712, 716
5556, 696, 871, 292, 695
5557, 696, 292, 871, 875
5558, 663, 701, 289, 122
5559, 663, 289, 701, 881
5560, 606, 289, 701, 122
5561, 606, 701, 289, 881
5562, 867, 662, 666, 872
5563, 867, 666, 662, 707
5564, 289, 664, 290, 879
5565, 289, 290, 664, 124
5566, 664, 611, 290, 879
5567, 89, 124, 611, 123
5568, 89, 611, 124, 664
5569, 290, 611, 124, 123
5570, 290, 124, 611, 664
5571, 748, 745, 344, 749
5572, 745, 748, 740, 749
5573, 661, 312, 732, 741
5574, 98, 345, 751, 99
5575, 337, 744, 202, 731
5576, 316, 661, 96, 741
5577, 751, 659, 255, 99
5578, 345, 747, 751, 99
5579, 734, 311, 660, 730
5580, 661, 737, 96, 741
5581, 743, 343, 143, 749
5582, 734, 659, 660, 311
5583, 659, 742, 732, 729
5584, 739, 745, 341, 746
5585, 312, 734, 311, 659
5586, 142, 733, 746, 338
5587, 201, 469, 41, 730
5588, 471, 469, 729, 470
5589, 742, 729, 738, 732
5590, 744, 731, 735, 729
5591, 257, 737, 255, 751
5592, 751, 98, 99, 255
5593, 45, 744, 748, 471
5594, 46, 209, 748, 470
5595, 248, 737, 96, 255
5596, 312, 135, 732, 741
5597, 209, 471, 748, 470
5598, 731, 744, 202, 469
5599, 345, 46, 748, 470
5600, 345, 747, 46, 470
5601, 731, 201, 469, 42
5602, 257, 98, 751, 255
5603, 97, 257, 737, 248
5604, 742, 737, 751, 255
5605, 745, 740, 743, 749
5606, 732, 340, 339, 738
5607, 659, 742, 751, 255
5608, 469, 207, 41, 730
5609, 661, 742, 255, 737
5610, 742, 659, 751, 748
5611, 742, 750, 751, 737
5612, 337, 744, 731, 735
5613, 744, 45, 748, 344
5614, 748, 659, 470, 729
5615, 311, 136, 660, 730
5616, 733, 732, 339, 738
5617, 742, 661, 255, 659
5618, 97, 736, 750, 343
5619, 747, 659, 751, 99
5620, 338, 733, 746, 735
5621, 745, 744, 748, 344
5622, 731, 337, 42, 202
5623, 471, 744, 748, 729
5624, 471, 748, 470, 729
5625, 744, 338, 746, 735
5626, 312, 734, 659, 732
5627, 257, 737, 248, 255
5628, 736, 97, 750, 737
5629, 733, 744, 746, 735
5630, 750, 736, 737, 742
5631, 729, 469, 730, 470
5632, 745, 743, 342, 749
5633, 742, 659, 748, 729
5634, 750, 742, 751, 748
5635, 661, 312, 659, 732
5636, 742, 340, 732, 738
5637, 661, 742, 737, 741
5638, 744, 745, 748, 740
5639, 750, 97, 257, 737
5640, 731, 469, 730, 729
5641, 45, 471, 748, 209
5642, 747, 137, 659, 99
5643, 469, 470, 207, 730
5644, 344, 745, 342, 749
5645, 729, 733, 738, 732
5646, 44, 470, 660, 207
5647, 661, 737, 255, 96
5648, 318, 44, 660, 207
5649, 740, 745, 743, 342
5650, 747, 137, 660, 659
5651, 661, 742, 732, 659
5652, 142, 739, 341, 746
5653, 744, 337, 338, 735
5654, 733, 744, 735, 729
5655, 207, 470, 660, 730
5656, 201, 731, 469, 730
5657, 341, 745, 740, 342
5658, 44, 137, 318, 660
5659, 734, 659, 732, 729
5660, 742, 729, 740, 738
5661, 45, 744, 471, 202
5662, 744, 471, 202, 469
5663, 744, 733, 746, 745
5664, 745, 739, 738, 746
5665, 739, 745, 738, 740
5666, 745, 739, 341, 740
5667, 736, 750, 343, 749
5668, 733, 745, 738, 746
5669, 742, 661, 732, 741
5670, 661, 135, 741, 316
5671, 135, 340, 732, 741
5672, 312, 661, 135, 741
5673, 340, 742, 732, 741
5674, 736, 343, 743, 749
5675, 740, 736, 743, 749
5676, 747, 46, 470, 44
5677, 731, 42, 469, 202
5678, 659, 747, 470, 660
5679, 750, 257, 751, 737
5680, 207, 136, 41, 730
5681, 470, 659, 751, 747
5682, 751, 659, 470, 748
5683, 751, 345, 470, 747
5684, 470, 345, 751, 748
5685, 749, 342, 143, 743
5686, 749, 143, 342, 344
5687, 660, 207, 136, 318
5688, 660, 136, 207, 730
5689, 729, 740, 748, 742
5690, 729, 748, 740, 744
5691, 660, 734, 470, 659
5692, 660, 470, 734, 730
5693, 729, 470, 734, 659
5694, 729, 734, 470, 730
5695, 44, 660, 747, 137
5696, 747, 660, 44, 470
5697, 142, 746, 339, 739
5698, 142, 339, 746, 733
5699, 738, 339, 746, 739
5700, 738, 746, 339, 733
5701, 738, 729, 744, 733
5702, 744, 729, 738, 740
5703, 744, 745, 738, 733
5704, 738, 745, 744, 740
5705, 744, 469, 729, 471
5706, 729, 469, 744, 731
5707, 749, 748, 742, 750
5708, 742, 748, 749, 740
5709, 742, 736, 749, 750
5710, 749, 736, 742, 740
5711, 754, 658, 752, 753
5712, 207, 44, 658, 318
5713, 318, 754, 136, 310
5714, 120, 658, 310, 753
5715, 463, 752, 464, 206
5716, 754, 752, 658, 463
5717, 754, 318, 658, 310
5718, 557, 752, 605, 104
5719, 120, 285, 605, 753
5720, 207, 463, 754, 658
5721, 557, 614, 206, 107
5722, 752, 463, 39, 206
5723, 126, 121, 605, 658
5724, 614, 126, 605, 658
5725, 103, 614, 102, 126
5726, 754, 207, 318, 136
5727, 41, 207, 754, 136
5728, 464, 605, 752, 658
5729, 464, 605, 658, 614
5730, 464, 605, 614, 557
5731, 752, 557, 464, 206
5732, 40, 614, 206, 464
5733, 614, 557, 206, 464
5734, 614, 40, 206, 107
5735, 605, 120, 753, 658
5736, 614, 40, 43, 464
5737, 127, 126, 464, 658
5738, 206, 557, 107, 267
5739, 557, 614, 103, 605
5740, 126, 127, 464, 43
5741, 103, 121, 605, 126
5742, 614, 103, 605, 126
5743, 126, 614, 43, 464
5744, 658, 754, 310, 753
5745, 103, 557, 605, 104
5746, 126, 614, 464, 658
5747, 463, 752, 658, 464
5748, 127, 44, 464, 43
5749, 463, 44, 658, 207
5750, 463, 41, 754, 39
5751, 44, 137, 658, 318
5752, 463, 41, 207, 754
5753, 207, 754, 318, 658
5754, 285, 752, 605, 753
5755, 557, 614, 102, 103
5756, 752, 285, 605, 104
5757, 120, 121, 658, 605
5758, 464, 605, 557, 752
5759, 614, 557, 102, 107
5760, 752, 106, 206, 39
5761, 752, 39, 463, 754
5762, 127, 44, 658, 464
5763, 44, 127, 658, 137
5764, 127, 121, 126, 658
5765, 463, 44, 464, 658
5766, 752, 605, 753, 658
5767, 557, 752, 267, 206
5768, 557, 267, 752, 104
5769, 106, 267, 752, 206
5770, 106, 752, 267, 104
5771, 539, 747, 345, 99
5772, 755, 130, 119, 756
5773, 472, 490, 47, 615
5774, 747, 539, 345, 756
5775, 490, 525, 68, 616
5776, 472, 490, 615, 616
5777, 472, 747, 44, 46
5778, 254, 237, 616, 293
5779, 472, 615, 47, 43
5780, 756, 539, 345, 94
5781, 525, 755, 524, 756
5782, 539, 98, 345, 94
5783, 747, 254, 539, 616
5784, 283, 119, 252, 756
5785, 71, 755, 69, 490
5786, 755, 283, 756, 119
5787, 240, 525, 69, 755
5788, 755, 525, 69, 490
5789, 747, 472, 616, 756
5790, 472, 51, 756, 46
5791, 525, 747, 616, 756
5792, 490, 67, 616, 68
5793, 539, 756, 252, 94
5794, 525, 240, 524, 755
5795, 525, 747, 539, 616
5796, 87, 237, 88, 293
5797, 237, 254, 88, 293
5798, 616, 127, 126, 43
5799, 67, 615, 616, 126
5800, 240, 283, 524, 755
5801, 472, 44, 616, 43
5802, 127, 747, 44, 616
5803, 747, 472, 756, 46
5804, 51, 71, 47, 472
5805, 525, 237, 68, 616
5806, 71, 472, 756, 490
5807, 67, 490, 616, 615
5808, 756, 119, 252, 94
5809, 71, 472, 490, 47
5810, 67, 74, 490, 615
5811, 747, 472, 44, 616
5812, 74, 71, 490, 47
5813, 283, 240, 524, 85
5814, 755, 71, 756, 490
5815, 254, 747, 539, 99
5816, 755, 71, 130, 756
5817, 747, 525, 539, 756
5818, 71, 51, 130, 756
5819, 254, 237, 88, 242
5820, 44, 127, 616, 43
5821, 755, 283, 524, 756
5822, 525, 490, 68, 69
5823, 98, 539, 345, 99
5824, 525, 755, 756, 490
5825, 86, 283, 524, 85
5826, 539, 525, 242, 524
5827, 242, 86, 252, 524
5828, 539, 525, 524, 756
5829, 51, 71, 472, 756
5830, 283, 756, 252, 524
5831, 756, 539, 252, 524
5832, 539, 242, 252, 524
5833, 254, 747, 99, 137
5834, 86, 283, 252, 524
5835, 615, 472, 616, 43
5836, 490, 74, 47, 615
5837, 747, 254, 127, 137
5838, 46, 747, 345, 756
5839, 747, 127, 44, 137
5840, 615, 616, 126, 43
5841, 254, 127, 616, 747
5842, 616, 127, 254, 293
5843, 756, 616, 490, 472
5844, 756, 490, 616, 525
5845, 242, 539, 616, 525
5846, 616, 539, 242, 254
5847, 616, 237, 242, 525
5848, 242, 237, 616, 254
5849, 757, 176, 4, 159
5850, 110, 52, 757, 554
5851, 410, 757, 278, 159
5852, 410, 24, 177, 589
5853, 410, 176, 5, 477
5854, 589, 110, 278, 757
5855, 589, 410, 757, 278
5856, 52, 213, 757, 554
5857, 410, 176, 477, 757
5858, 589, 110, 757, 554
5859, 589, 410, 5, 477
5860, 589, 64, 53, 5
5861, 20, 410, 278, 159
5862, 589, 5, 53, 477
5863, 477, 176, 4, 757
5864, 64, 589, 53, 554
5865, 177, 410, 278, 20
5866, 589, 64, 265, 554
5867, 589, 477, 53, 554
5868, 213, 477, 757, 554
5869, 589, 265, 110, 554
5870, 24, 410, 5, 589
5871, 64, 24, 5, 589
5872, 477, 213, 53, 554
5873, 410, 589, 757, 477
5874, 477, 589, 757, 554
5875, 213, 52, 757, 477
5876, 176, 410, 159, 757
5877, 410, 589, 177, 278
5878, 52, 477, 4, 757
5879, 882, 648, 304, 759
5880, 309, 882, 284, 131
5881, 94, 599, 253, 751
5882, 597, 599, 236, 515
5883, 344, 763, 749, 143
5884, 748, 882, 759, 473
5885, 599, 253, 751, 750
5886, 749, 346, 343, 143
5887, 761, 882, 759, 760
5888, 95, 97, 253, 750
5889, 94, 599, 751, 756
5890, 762, 763, 346, 758
5891, 77, 758, 762, 346
5892, 761, 231, 514, 515
5893, 597, 95, 758, 76
5894, 599, 882, 598, 235
5895, 882, 648, 309, 647
5896, 761, 231, 232, 514
5897, 598, 130, 119, 118
5898, 599, 761, 514, 515
5899, 597, 515, 236, 76
5900, 761, 763, 597, 750
5901, 515, 763, 761, 762
5902, 763, 597, 750, 758
5903, 599, 761, 750, 751
5904, 515, 763, 762, 758
5905, 598, 78, 235, 513
5906, 598, 130, 648, 756
5907, 94, 599, 756, 598
5908, 749, 346, 143, 763
5909, 515, 227, 76, 758
5910, 514, 599, 236, 235
5911, 343, 758, 749, 750
5912, 50, 648, 759, 304
5913, 598, 130, 118, 648
5914, 761, 599, 597, 515
5915, 882, 748, 756, 473
5916, 882, 598, 235, 513
5917, 94, 345, 751, 98
5918, 882, 761, 232, 514
5919, 597, 515, 76, 758
5920, 253, 94, 751, 98
5921, 748, 760, 473, 759
5922, 257, 253, 751, 98
5923, 760, 205, 473, 759
5924, 882, 514, 232, 513
5925, 882, 599, 514, 235
5926, 83, 882, 232, 513
5927, 748, 209, 473, 760
5928, 756, 748, 46, 473
5929, 882, 647, 83, 304
5930, 748, 882, 760, 759
5931, 51, 756, 46, 473
5932, 882, 748, 760, 761
5933, 345, 748, 46, 756
5934, 748, 209, 760, 45
5935, 309, 78, 284, 513
5936, 130, 648, 756, 51
5937, 284, 882, 118, 131
5938, 515, 763, 758, 597
5939, 95, 750, 597, 758
5940, 82, 309, 513, 78
5941, 759, 205, 473, 50
5942, 209, 205, 760, 45
5943, 648, 882, 473, 759
5944, 648, 882, 304, 647
5945, 749, 346, 763, 758
5946, 761, 882, 232, 759
5947, 210, 759, 473, 50
5948, 97, 343, 750, 758
5949, 748, 345, 751, 756
5950, 762, 227, 515, 758
5951, 763, 344, 749, 760
5952, 599, 882, 514, 761
5953, 761, 748, 750, 751
5954, 599, 882, 756, 598
5955, 97, 257, 253, 750
5956, 598, 882, 118, 284
5957, 599, 761, 597, 750
5958, 648, 882, 598, 756
5959, 762, 231, 515, 77
5960, 227, 762, 515, 77
5961, 762, 231, 761, 515
5962, 648, 882, 309, 131
5963, 515, 599, 236, 514
5964, 648, 131, 130, 118
5965, 257, 253, 750, 751
5966, 345, 94, 751, 756
5967, 647, 309, 513, 82
5968, 748, 209, 46, 473
5969, 756, 648, 473, 51
5970, 95, 597, 750, 253
5971, 515, 763, 597, 761
5972, 514, 882, 235, 513
5973, 647, 882, 513, 309
5974, 882, 309, 284, 513
5975, 648, 210, 473, 51
5976, 97, 95, 758, 750
5977, 882, 648, 473, 756
5978, 882, 83, 232, 304
5979, 882, 304, 232, 759
5980, 94, 598, 756, 119
5981, 598, 130, 756, 119
5982, 209, 205, 473, 760
5983, 344, 748, 760, 45
5984, 758, 763, 749, 750
5985, 344, 748, 749, 760
5986, 882, 648, 118, 131
5987, 83, 647, 513, 82
5988, 648, 882, 118, 598
5989, 882, 647, 513, 83
5990, 749, 346, 758, 343
5991, 77, 758, 227, 762
5992, 210, 648, 473, 759
5993, 50, 648, 210, 759
5994, 599, 597, 253, 750
5995, 513, 284, 598, 78
5996, 513, 598, 284, 882
5997, 756, 751, 882, 599
5998, 756, 882, 751, 748
5999, 761, 882, 751, 599
6000, 761, 751, 882, 748
6001, 761, 760, 750, 748
6002, 761, 750, 760, 763
6003, 749, 750, 760, 748
6004, 749, 760, 750, 763
6005, 299, 300, 774, 639
6006, 560, 267, 766, 206
6007, 144, 772, 350, 770
6008, 770, 772, 767, 348
6009, 467, 765, 465, 466
6010, 558, 111, 771, 264
6011, 641, 559, 268, 639
6012, 640, 299, 773, 774
6013, 772, 774, 767, 348
6014, 467, 641, 107, 40
6015, 300, 772, 642, 129
6016, 640, 467, 641, 764
6017, 559, 768, 766, 561
6018, 559, 768, 561, 558
6019, 769, 774, 639, 764
6020, 559, 467, 766, 641
6021, 769, 642, 558, 639
6022, 766, 39, 466, 206
6023, 144, 770, 767, 348
6024, 769, 772, 774, 767
6025, 49, 640, 773, 468
6026, 49, 208, 640, 468
6027, 144, 772, 770, 348
6028, 772, 769, 770, 767
6029, 347, 769, 767, 770
6030, 768, 559, 764, 639
6031, 774, 769, 767, 764
6032, 640, 773, 764, 774
6033, 560, 766, 106, 260
6034, 144, 347, 767, 770
6035, 641, 467, 766, 764
6036, 467, 765, 468, 465
6037, 765, 39, 466, 766
6038, 774, 640, 639, 764
6039, 769, 772, 639, 774
6040, 559, 768, 558, 639
6041, 640, 467, 764, 468
6042, 640, 641, 639, 764
6043, 467, 559, 560, 107
6044, 559, 268, 639, 558
6045, 208, 467, 48, 641
6046, 765, 467, 764, 766
6047, 467, 765, 764, 468
6048, 772, 769, 639, 642
6049, 773, 640, 764, 468
6050, 765, 773, 764, 468
6051, 768, 769, 767, 347
6052, 560, 467, 107, 206
6053, 267, 766, 206, 106
6054, 467, 766, 466, 206
6055, 467, 559, 766, 560
6056, 467, 559, 107, 641
6057, 199, 765, 465, 38
6058, 267, 560, 107, 206
6059, 772, 769, 350, 770
6060, 299, 49, 640, 773
6061, 559, 768, 764, 766
6062, 641, 559, 764, 766
6063, 766, 39, 206, 106
6064, 769, 768, 767, 764
6065, 768, 105, 558, 264
6066, 768, 769, 639, 764
6067, 349, 773, 774, 764
6068, 267, 560, 766, 106
6069, 769, 558, 771, 264
6070, 773, 49, 468, 203
6071, 640, 299, 774, 639
6072, 773, 349, 203, 465
6073, 641, 467, 48, 40
6074, 105, 768, 347, 264
6075, 769, 642, 771, 558
6076, 768, 769, 558, 639
6077, 300, 772, 774, 639
6078, 349, 765, 773, 764
6079, 774, 349, 764, 348
6080, 559, 641, 764, 639
6081, 642, 268, 771, 558
6082, 772, 300, 642, 639
6083, 769, 768, 558, 264
6084, 768, 769, 347, 264
6085, 768, 259, 260, 561
6086, 111, 268, 771, 642
6087, 467, 560, 766, 206
6088, 208, 640, 467, 641
6089, 768, 259, 561, 558
6090, 642, 769, 771, 298
6091, 268, 111, 771, 558
6092, 641, 559, 107, 112
6093, 767, 774, 764, 348
6094, 766, 560, 561, 260
6095, 765, 349, 773, 465
6096, 560, 559, 766, 561
6097, 765, 39, 199, 466
6098, 769, 772, 350, 129
6099, 268, 642, 639, 558
6100, 772, 769, 642, 129
6101, 111, 642, 771, 298
6102, 766, 768, 260, 561
6103, 467, 765, 466, 766
6104, 641, 559, 112, 268
6105, 768, 105, 259, 558
6106, 467, 40, 107, 206
6107, 641, 40, 48, 107
6108, 773, 468, 465, 203
6109, 112, 641, 48, 107
6110, 765, 199, 465, 466
6111, 769, 642, 129, 298
6112, 640, 208, 467, 468
6113, 773, 765, 465, 468
6114, 465, 349, 38, 765
6115, 465, 38, 349, 203
6116, 36, 196, 16, 404
6117, 781, 170, 3, 216
6118, 650, 132, 134, 783
6119, 776, 400, 778, 777
6120, 786, 356, 784, 783
6121, 400, 776, 156, 777
6122, 13, 782, 401, 402
6123, 650, 786, 403, 783
6124, 787, 354, 305, 779
6125, 775, 784, 146, 36
6126, 56, 781, 3, 216
6127, 785, 352, 777, 351
6128, 785, 786, 351, 777
6129, 776, 787, 352, 777
6130, 651, 785, 405, 403
6131, 786, 650, 134, 783
6132, 783, 650, 402, 403
6133, 782, 37, 402, 17
6134, 786, 775, 351, 777
6135, 196, 171, 16, 404
6136, 775, 155, 777, 403
6137, 155, 400, 777, 403
6138, 783, 404, 403, 402
6139, 155, 775, 404, 403
6140, 400, 157, 778, 780
6141, 787, 776, 352, 145
6142, 132, 355, 650, 782
6143, 649, 781, 779, 294
6144, 651, 785, 306, 305
6145, 649, 56, 216, 781
6146, 405, 785, 777, 403
6147, 787, 785, 352, 777
6148, 649, 56, 781, 294
6149, 158, 157, 405, 780
6150, 354, 305, 779, 133
6151, 57, 72, 401, 7
6152, 72, 132, 650, 782
6153, 650, 403, 401, 402
6154, 170, 57, 401, 7
6155, 156, 400, 777, 155
6156, 651, 406, 781, 216
6157, 651, 650, 403, 401
6158, 651, 650, 306, 403
6159, 649, 651, 781, 216
6160, 775, 196, 36, 404
6161, 406, 651, 405, 401
6162, 775, 784, 404, 403
6163, 782, 650, 401, 402
6164, 786, 785, 306, 403
6165, 779, 649, 294, 133
6166, 305, 649, 779, 133
6167, 57, 651, 216, 401
6168, 786, 650, 306, 134
6169, 171, 37, 17, 402
6170, 196, 171, 404, 402
6171, 776, 787, 778, 145
6172, 784, 196, 404, 783
6173, 170, 406, 401, 216
6174, 171, 196, 37, 402
6175, 400, 776, 778, 157
6176, 786, 785, 403, 777
6177, 650, 786, 306, 403
6178, 400, 405, 777, 403
6179, 155, 775, 16, 404
6180, 406, 651, 781, 405
6181, 170, 57, 216, 401
6182, 406, 170, 3, 781
6183, 72, 57, 401, 650
6184, 649, 651, 779, 781
6185, 782, 17, 402, 13
6186, 651, 649, 779, 305
6187, 786, 356, 783, 134
6188, 405, 651, 403, 401
6189, 158, 406, 3, 781
6190, 775, 196, 404, 784
6191, 783, 196, 404, 402
6192, 406, 651, 401, 216
6193, 355, 132, 650, 783
6194, 775, 786, 403, 777
6195, 787, 785, 779, 305
6196, 775, 36, 16, 404
6197, 196, 775, 36, 784
6198, 354, 787, 778, 779
6199, 400, 776, 157, 2
6200, 72, 13, 401, 7
6201, 157, 400, 405, 780
6202, 157, 776, 353, 2
6203, 400, 776, 2, 156
6204, 787, 354, 778, 145
6205, 353, 776, 778, 145
6206, 785, 651, 779, 305
6207, 355, 37, 783, 402
6208, 785, 651, 306, 403
6209, 170, 406, 216, 781
6210, 72, 782, 401, 13
6211, 37, 355, 782, 402
6212, 785, 651, 405, 779
6213, 784, 783, 404, 403
6214, 776, 157, 353, 778
6215, 37, 196, 783, 402
6216, 72, 650, 401, 782
6217, 57, 651, 401, 650
6218, 786, 784, 351, 775
6219, 786, 351, 784, 356
6220, 146, 351, 784, 775
6221, 146, 784, 351, 356
6222, 781, 405, 158, 406
6223, 781, 158, 405, 780
6224, 777, 400, 780, 405
6225, 780, 400, 777, 778
6226, 777, 787, 778, 776
6227, 403, 784, 786, 775
6228, 403, 786, 784, 783
6229, 402, 355, 650, 783
6230, 402, 650, 355, 782
6231, 779, 405, 781, 651
6232, 779, 781, 405, 780
6233, 777, 778, 779, 780
6234, 777, 405, 779, 785
6235, 779, 405, 777, 780
6236, 779, 777, 787, 778
6237, 787, 777, 779, 785
6238, 37, 355, 446, 789
6239, 784, 791, 783, 356
6240, 357, 226, 788, 510
6241, 446, 784, 511, 783
6242, 78, 600, 511, 284
6243, 510, 784, 511, 445
6244, 791, 646, 307, 509
6245, 645, 82, 81, 509
6246, 510, 784, 790, 791
6247, 446, 195, 511, 445
6248, 784, 791, 356, 790
6249, 132, 308, 646, 789
6250, 646, 644, 307, 509
6251, 195, 34, 446, 511
6252, 446, 34, 600, 511
6253, 791, 234, 511, 509
6254, 789, 646, 783, 511
6255, 646, 791, 307, 134
6256, 195, 510, 445, 33
6257, 33, 510, 445, 788
6258, 446, 355, 783, 789
6259, 789, 446, 600, 511
6260, 355, 132, 646, 789
6261, 132, 355, 646, 783
6262, 644, 307, 509, 645
6263, 645, 307, 509, 81
6264, 357, 80, 510, 790
6265, 355, 37, 446, 783
6266, 234, 791, 510, 790
6267, 644, 308, 282, 789
6268, 509, 78, 511, 284
6269, 644, 308, 789, 646
6270, 446, 37, 789, 25
6271, 34, 600, 511, 78
6272, 646, 644, 511, 789
6273, 789, 446, 25, 600
6274, 446, 784, 196, 445
6275, 195, 510, 511, 445
6276, 186, 33, 445, 788
6277, 36, 784, 788, 445
6278, 81, 307, 509, 234
6279, 146, 784, 788, 36
6280, 644, 789, 600, 511
6281, 446, 37, 196, 783
6282, 784, 36, 196, 445
6283, 357, 510, 788, 790
6284, 80, 357, 510, 226
6285, 510, 80, 234, 790
6286, 307, 791, 509, 234
6287, 234, 510, 791, 511
6288, 82, 309, 509, 645
6289, 226, 510, 33, 788
6290, 791, 646, 509, 511
6291, 784, 446, 511, 445
6292, 791, 134, 783, 356
6293, 446, 789, 783, 511
6294, 309, 82, 509, 78
6295, 186, 36, 788, 445
6296, 646, 791, 783, 511
6297, 784, 791, 511, 783
6298, 644, 789, 282, 600
6299, 309, 644, 509, 645
6300, 784, 510, 788, 445
6301, 784, 446, 196, 783
6302, 132, 646, 134, 783
6303, 644, 131, 309, 284
6304, 510, 784, 788, 790
6305, 644, 646, 511, 509
6306, 600, 644, 511, 284
6307, 646, 791, 134, 783
6308, 355, 646, 783, 789
6309, 446, 34, 25, 600
6310, 282, 644, 600, 284
6311, 282, 789, 25, 600
6312, 784, 510, 511, 791
6313, 644, 509, 511, 284
6314, 284, 509, 309, 644
6315, 284, 309, 509, 78
6316, 282, 284, 308, 644
6317, 282, 308, 284, 118
6318, 131, 308, 284, 644
6319, 131, 284, 308, 118
6320, 790, 784, 357, 356
6321, 790, 357, 784, 788
6322, 146, 357, 784, 356
6323, 146, 784, 357, 788
6324, 792, 234, 79, 80
6325, 146, 356, 351, 793
6326, 798, 796, 362, 638
6327, 883, 799, 800, 302
6328, 360, 793, 800, 359
6329, 796, 305, 787, 354
6330, 786, 637, 306, 883
6331, 790, 234, 792, 80
6332, 307, 637, 797, 303
6333, 145, 787, 794, 352
6334, 786, 356, 791, 793
6335, 796, 295, 362, 638
6336, 793, 790, 792, 357
6337, 798, 796, 147, 362
6338, 301, 798, 128, 638
6339, 800, 637, 797, 791
6340, 356, 786, 351, 793
6341, 796, 133, 638, 305
6342, 787, 795, 794, 352
6343, 637, 307, 797, 791
6344, 785, 795, 787, 352
6345, 793, 800, 797, 791
6346, 303, 637, 800, 302
6347, 792, 233, 797, 79
6348, 637, 883, 800, 302
6349, 790, 234, 797, 792
6350, 799, 883, 798, 636
6351, 786, 883, 306, 785
6352, 786, 793, 883, 795
6353, 790, 792, 357, 80
6354, 301, 799, 798, 636
6355, 796, 305, 638, 883
6356, 798, 301, 636, 638
6357, 883, 785, 795, 787
6358, 133, 796, 638, 295
6359, 786, 637, 134, 306
6360, 796, 798, 147, 794
6361, 786, 637, 883, 791
6362, 796, 883, 794, 787
6363, 796, 133, 305, 354
6364, 883, 637, 306, 636
6365, 883, 637, 800, 791
6366, 798, 883, 638, 636
6367, 883, 305, 638, 636
6368, 301, 799, 636, 302
6369, 361, 799, 795, 883
6370, 81, 234, 233, 797
6371, 303, 81, 84, 797
6372, 786, 356, 134, 791
6373, 799, 361, 795, 360
6374, 234, 233, 797, 792
6375, 358, 796, 147, 794
6376, 81, 233, 84, 797
6377, 307, 234, 797, 791
6378, 307, 81, 303, 797
6379, 357, 356, 146, 793
6380, 796, 354, 787, 794
6381, 356, 793, 790, 791
6382, 883, 796, 794, 798
6383, 793, 883, 800, 791
6384, 883, 361, 794, 795
6385, 785, 351, 795, 352
6386, 883, 799, 798, 794
6387, 799, 361, 798, 794
6388, 307, 637, 134, 791
6389, 793, 786, 883, 791
6390, 128, 798, 362, 638
6391, 295, 128, 362, 638
6392, 305, 796, 787, 883
6393, 234, 790, 797, 791
6394, 793, 790, 797, 792
6395, 303, 637, 797, 800
6396, 637, 786, 134, 791
6397, 357, 356, 793, 790
6398, 361, 799, 883, 794
6399, 883, 637, 636, 302
6400, 883, 795, 794, 787
6401, 799, 883, 636, 302
6402, 786, 351, 793, 795
6403, 883, 799, 795, 360
6404, 234, 81, 307, 797
6405, 790, 793, 797, 791
6406, 793, 883, 795, 360
6407, 800, 793, 797, 359
6408, 883, 793, 800, 360
6409, 799, 883, 800, 360
6410, 305, 883, 787, 785
6411, 233, 234, 79, 792
6412, 793, 792, 797, 359
6413, 305, 883, 306, 636
6414, 883, 305, 306, 785
6415, 798, 361, 147, 794
6416, 796, 883, 638, 798
6417, 796, 358, 354, 794
6418, 792, 797, 359, 79
6419, 786, 795, 785, 351
6420, 785, 795, 786, 883
6421, 794, 354, 145, 358
6422, 794, 145, 354, 787
6423, 643, 130, 755, 71
6424, 69, 755, 518, 240
6425, 782, 643, 132, 789
6426, 596, 119, 755, 308
6427, 643, 782, 132, 72
6428, 119, 596, 755, 283
6429, 596, 755, 518, 789
6430, 596, 85, 518, 240
6431, 782, 37, 789, 355
6432, 282, 596, 789, 308
6433, 283, 596, 755, 240
6434, 85, 596, 518, 26
6435, 119, 118, 130, 308
6436, 596, 25, 518, 26
6437, 755, 643, 518, 789
6438, 130, 643, 755, 308
6439, 69, 643, 755, 71
6440, 596, 283, 85, 240
6441, 118, 596, 282, 308
6442, 25, 18, 518, 26
6443, 119, 130, 755, 308
6444, 69, 14, 518, 13
6445, 782, 643, 13, 72
6446, 355, 782, 132, 789
6447, 596, 282, 789, 25
6448, 643, 308, 132, 789
6449, 37, 25, 518, 789
6450, 69, 643, 71, 72
6451, 37, 18, 518, 25
6452, 118, 596, 308, 119
6453, 69, 643, 13, 518
6454, 130, 118, 131, 308
6455, 643, 782, 13, 518
6456, 643, 69, 13, 72
6457, 643, 782, 518, 789
6458, 37, 782, 789, 518
6459, 643, 69, 755, 518
6460, 17, 18, 13, 782
6461, 755, 596, 518, 240
6462, 25, 596, 518, 789
6463, 13, 518, 18, 14
6464, 13, 18, 518, 782
6465, 18, 37, 782, 17
6466, 18, 782, 37, 518
6467, 789, 755, 308, 596
6468, 789, 308, 755, 643
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=250
108.8257, 114.8205, -200.6181, 1, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=250
-80.5054, 82.0742, 17.3422, 2, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=250
149.6665, 80.49079, -78.76342, 3, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=250
28.10359, 108.188, -63.61463, 4, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=250
98.38628, 154.3993, -108.6097, 5, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=250
-127.7287, 66.69494, 121.3438, 6, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=250
-42.82988, 109.5869, 215.743, 7, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN8
*Depvar
12,
*User Material, constants=250
53.38176, 109.735, 34.82223, 8, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN9
*Depvar
12,
*User Material, constants=250
114.1134, 161.098, -235.1635, 9, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN10
*Depvar
12,
*User Material, constants=250
23.5388, 53.8013, -0.916204, 10, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0.000256, 0.000256
0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256
0.000256, 0.000256, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 16, 16, 16, 16
16, 16, 16, 16, 16, 16, 16, 16
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0,
*Material, name=MATERIAL-GRAIN11
*Depvar
12,
*User Material, constants=250
84.299, 47.4888, -73.2774, 11, 2, 1, 12, 6
0, 0.31, 0.25, 170000, 124000, 75000, 0, 0
0, 0, 0, 0, 1, 0, 0, 0
3, 0.001, 20, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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*Depvar
12,
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**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.01, 10., 1e-05, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Neper2Abaqus/Step-2a Matlab/abq_tet.msh
================================================
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1712 2 3 99 99 0 595 76 230
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1773 2 3 108 108 0 61 290 65
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1796 2 3 111 111 0 612 611 608
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1799 2 3 111 111 0 292 608 92
1800 2 3 111 111 0 612 290 611
1801 2 3 111 111 0 612 608 610
1802 2 3 111 111 0 245 611 89
1803 2 3 111 111 0 612 610 281
1804 2 3 111 111 0 612 116 290
1805 2 3 111 111 0 609 125 291
1806 2 3 111 111 0 291 610 609
1807 2 3 111 111 0 292 125 609
1808 2 3 111 111 0 281 116 612
1809 2 3 111 111 0 611 290 123
1810 2 3 111 111 0 123 89 611
1811 2 3 112 112 0 63 238 61
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1813 2 3 112 112 0 123 287 238
1814 2 3 112 112 0 89 123 238
1815 2 3 113 113 0 125 292 613
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1821 2 3 114 114 0 43 40 614
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1835 2 3 118 118 0 47 48 74
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1838 2 3 119 119 0 237 616 293
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1841 2 3 119 119 0 616 68 67
1842 2 3 119 119 0 87 237 293
1843 2 3 119 119 0 126 127 616
1844 2 3 119 119 0 237 68 616
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1847 2 3 120 120 0 127 121 126
1848 2 3 121 121 0 239 617 87
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1850 2 3 121 121 0 121 617 288
1851 2 3 121 121 0 127 617 121
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1853 2 3 121 121 0 288 617 618
1854 2 3 121 121 0 618 617 239
1855 2 3 121 121 0 618 90 124
1856 2 3 121 121 0 239 90 618
1857 2 3 121 121 0 617 127 293
1858 2 3 122 122 0 124 89 123
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1860 2 3 123 123 0 211 619 620
1861 2 3 123 123 0 211 56 619
1862 2 3 123 123 0 621 296 622
1863 2 3 123 123 0 621 128 296
1864 2 3 123 123 0 621 622 619
1865 2 3 123 123 0 297 623 622
1866 2 3 123 123 0 129 298 297
1867 2 3 123 123 0 622 623 619
1868 2 3 123 123 0 622 296 297
1869 2 3 123 123 0 295 128 621
1870 2 3 123 123 0 623 111 620
1871 2 3 123 123 0 111 623 298
1872 2 3 123 123 0 294 619 56
1873 2 3 123 123 0 619 623 620
1874 2 3 123 123 0 297 298 623
1875 2 3 123 123 0 295 621 133
1876 2 3 123 123 0 133 621 294
1877 2 3 123 123 0 620 55 211
1878 2 3 123 123 0 111 55 620
1879 2 3 123 123 0 621 619 294
1880 2 3 124 124 0 626 204 629
1881 2 3 124 124 0 624 625 631
1882 2 3 124 124 0 83 304 627
1883 2 3 124 124 0 628 624 631
1884 2 3 124 124 0 304 50 626
1885 2 3 124 124 0 299 625 629
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1887 2 3 124 124 0 624 626 629
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1894 2 3 124 124 0 624 628 634
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1898 2 3 124 124 0 302 303 630
1899 2 3 124 124 0 304 626 633
1900 2 3 124 124 0 628 301 634
1901 2 3 124 124 0 129 297 632
1902 2 3 124 124 0 625 300 632
1903 2 3 124 124 0 296 628 631
1904 2 3 124 124 0 303 627 630
1905 2 3 124 124 0 301 628 635
1906 2 3 124 124 0 627 304 633
1907 2 3 124 124 0 301 302 634
1908 2 3 124 124 0 297 296 631
1909 2 3 124 124 0 300 129 632
1910 2 3 124 124 0 296 128 635
1911 2 3 124 124 0 628 296 635
1912 2 3 124 124 0 630 627 633
1913 2 3 124 124 0 302 630 634
1914 2 3 124 124 0 128 301 635
1915 2 3 124 124 0 631 625 632
1916 2 3 124 124 0 297 631 632
1917 2 3 125 125 0 302 636 637
1918 2 3 125 125 0 306 134 637
1919 2 3 125 125 0 637 636 306
1920 2 3 125 125 0 307 637 134
1921 2 3 125 125 0 638 133 305
1922 2 3 125 125 0 295 133 638
1923 2 3 125 125 0 301 128 638
1924 2 3 125 125 0 638 128 295
1925 2 3 125 125 0 84 303 81
1926 2 3 125 125 0 81 303 307
1927 2 3 125 125 0 638 636 301
1928 2 3 125 125 0 305 636 638
1929 2 3 125 125 0 302 301 636
1930 2 3 125 125 0 305 306 636
1931 2 3 125 125 0 307 303 637
1932 2 3 125 125 0 637 303 302
1933 2 3 126 126 0 639 640 641
1934 2 3 126 126 0 640 208 641
1935 2 3 126 126 0 298 129 642
1936 2 3 126 126 0 642 129 300
1937 2 3 126 126 0 642 111 298
1938 2 3 126 126 0 268 111 642
1939 2 3 126 126 0 112 641 48
1940 2 3 126 126 0 48 641 208
1941 2 3 126 126 0 640 639 299
1942 2 3 126 126 0 640 49 208
1943 2 3 126 126 0 641 112 268
1944 2 3 126 126 0 639 300 299
1945 2 3 126 126 0 299 49 640
1946 2 3 126 126 0 642 639 268
1947 2 3 126 126 0 268 639 641
1948 2 3 126 126 0 300 639 642
1949 2 3 127 127 0 130 643 308
1950 2 3 127 127 0 130 308 131
1951 2 3 127 127 0 130 71 643
1952 2 3 127 127 0 72 132 643
1953 2 3 127 127 0 643 71 72
1954 2 3 127 127 0 643 132 308
1955 2 3 128 128 0 131 644 309
1956 2 3 128 128 0 131 308 644
1957 2 3 128 128 0 82 645 81
1958 2 3 128 128 0 645 307 81
1959 2 3 128 128 0 645 644 307
1960 2 3 128 128 0 645 82 309
1961 2 3 128 128 0 309 644 645
1962 2 3 128 128 0 646 132 134
1963 2 3 128 128 0 134 307 646
1964 2 3 128 128 0 308 132 646
1965 2 3 128 128 0 308 646 644
1966 2 3 128 128 0 644 646 307
1967 2 3 129 129 0 74 47 71
1968 2 3 129 129 0 47 51 71
1969 2 3 129 129 0 51 130 71
1970 2 3 130 130 0 647 648 309
1971 2 3 130 130 0 647 304 648
1972 2 3 130 130 0 648 131 309
1973 2 3 130 130 0 648 130 131
1974 2 3 130 130 0 304 50 648
1975 2 3 130 130 0 648 50 210
1976 2 3 130 130 0 647 83 304
1977 2 3 130 130 0 82 83 647
1978 2 3 130 130 0 648 51 130
1979 2 3 130 130 0 309 82 647
1980 2 3 130 130 0 210 51 648
1981 2 3 131 131 0 305 649 133
1982 2 3 131 131 0 649 294 133
1983 2 3 131 131 0 649 56 294
1984 2 3 131 131 0 216 56 649
1985 2 3 131 131 0 650 651 306
1986 2 3 131 131 0 57 651 650
1987 2 3 131 131 0 650 72 57
1988 2 3 131 131 0 306 134 650
1989 2 3 131 131 0 650 134 132
1990 2 3 131 131 0 650 132 72
1991 2 3 131 131 0 651 305 306
1992 2 3 131 131 0 651 57 216
1993 2 3 131 131 0 649 651 216
1994 2 3 131 131 0 305 651 649
1995 2 3 132 132 0 652 135 313
1996 2 3 132 132 0 312 135 652
1997 2 3 132 132 0 311 653 136
1998 2 3 132 132 0 136 653 310
1999 2 3 132 132 0 652 138 314
2000 2 3 132 132 0 313 138 652
2001 2 3 132 132 0 315 122 654
2002 2 3 132 132 0 654 122 120
2003 2 3 132 132 0 310 653 654
2004 2 3 132 132 0 654 653 315
2005 2 3 132 132 0 654 120 310
2006 2 3 132 132 0 314 315 655
2007 2 3 132 132 0 311 312 655
2008 2 3 132 132 0 652 655 312
2009 2 3 132 132 0 653 655 315
2010 2 3 132 132 0 314 655 652
2011 2 3 132 132 0 311 655 653
2012 2 3 133 133 0 316 313 135
2013 2 3 133 133 0 313 316 656
2014 2 3 133 133 0 138 313 317
2015 2 3 133 133 0 317 313 656
2016 2 3 133 133 0 96 247 656
2017 2 3 133 133 0 316 96 656
2018 2 3 133 133 0 100 317 657
2019 2 3 133 133 0 656 247 657
2020 2 3 133 133 0 247 100 657
2021 2 3 133 133 0 317 656 657
2022 2 3 134 134 0 120 310 658
2023 2 3 134 134 0 136 318 310
2024 2 3 134 134 0 310 318 658
2025 2 3 134 134 0 318 137 658
2026 2 3 134 134 0 127 121 658
2027 2 3 134 134 0 137 127 658
2028 2 3 134 134 0 121 120 658
2029 2 3 135 135 0 99 254 137
2030 2 3 135 135 0 254 293 127
2031 2 3 135 135 0 88 293 254
2032 2 3 135 135 0 87 293 88
2033 2 3 135 135 0 137 254 127
2034 2 3 136 136 0 659 660 137
2035 2 3 136 136 0 659 311 660
2036 2 3 136 136 0 316 135 661
2037 2 3 136 136 0 661 135 312
2038 2 3 136 136 0 661 96 316
2039 2 3 136 136 0 660 136 318
2040 2 3 136 136 0 318 137 660
2041 2 3 136 136 0 311 136 660
2042 2 3 136 136 0 255 96 661
2043 2 3 136 136 0 99 659 137
2044 2 3 136 136 0 659 99 255
2045 2 3 136 136 0 659 312 311
2046 2 3 136 136 0 312 659 661
2047 2 3 136 136 0 661 659 255
2048 2 3 137 137 0 100 662 256
2049 2 3 137 137 0 317 662 100
2050 2 3 137 137 0 663 664 665
2051 2 3 137 137 0 666 315 663
2052 2 3 137 137 0 664 124 90
2053 2 3 137 137 0 662 138 314
2054 2 3 137 137 0 317 138 662
2055 2 3 137 137 0 665 666 663
2056 2 3 137 137 0 90 246 664
2057 2 3 137 137 0 246 665 664
2058 2 3 137 137 0 664 663 289
2059 2 3 137 137 0 256 666 665
2060 2 3 137 137 0 314 666 662
2061 2 3 137 137 0 289 124 664
2062 2 3 137 137 0 666 314 315
2063 2 3 137 137 0 315 122 663
2064 2 3 137 137 0 665 91 256
2065 2 3 137 137 0 663 122 289
2066 2 3 137 137 0 246 91 665
2067 2 3 137 137 0 662 666 256
2068 2 3 138 138 0 667 668 669
2069 2 3 138 138 0 667 322 668
2070 2 3 138 138 0 27 188 320
2071 2 3 138 138 0 319 669 668
2072 2 3 138 138 0 322 139 668
2073 2 3 138 138 0 668 139 319
2074 2 3 138 138 0 188 669 320
2075 2 3 138 138 0 320 669 319
2076 2 3 138 138 0 10 321 153
2077 2 3 138 138 0 188 187 669
2078 2 3 138 138 0 670 15 153
2079 2 3 138 138 0 187 15 670
2080 2 3 138 138 0 670 667 187
2081 2 3 138 138 0 670 153 321
2082 2 3 138 138 0 321 667 670
2083 2 3 138 138 0 667 321 322
2084 2 3 138 138 0 667 669 187
2085 2 3 139 139 0 671 672 673
2086 2 3 139 139 0 672 189 27
2087 2 3 139 139 0 320 672 27
2088 2 3 139 139 0 326 327 674
2089 2 3 139 139 0 675 676 674
2090 2 3 139 139 0 674 676 325
2091 2 3 139 139 0 324 325 676
2092 2 3 139 139 0 672 677 678
2093 2 3 139 139 0 672 678 673
2094 2 3 139 139 0 677 323 678
2095 2 3 139 139 0 677 672 320
2096 2 3 139 139 0 674 679 675
2097 2 3 139 139 0 327 679 674
2098 2 3 139 139 0 673 680 671
2099 2 3 139 139 0 671 680 190
2100 2 3 139 139 0 680 679 250
2101 2 3 139 139 0 678 323 324
2102 2 3 139 139 0 680 673 675
2103 2 3 139 139 0 675 673 676
2104 2 3 139 139 0 675 679 680
2105 2 3 139 139 0 677 139 323
2106 2 3 139 139 0 319 139 677
2107 2 3 139 139 0 326 674 140
2108 2 3 139 139 0 674 325 140
2109 2 3 139 139 0 678 676 673
2110 2 3 139 139 0 324 676 678
2111 2 3 139 139 0 679 101 250
2112 2 3 139 139 0 190 189 671
2113 2 3 139 139 0 672 671 189
2114 2 3 139 139 0 327 101 679
2115 2 3 139 139 0 680 31 190
2116 2 3 139 139 0 250 31 680
2117 2 3 139 139 0 320 319 677
2118 2 3 140 140 0 681 682 683
2119 2 3 140 140 0 125 683 682
2120 2 3 140 140 0 683 125 328
2121 2 3 140 140 0 684 328 329
2122 2 3 140 140 0 682 681 685
2123 2 3 140 140 0 322 321 686
2124 2 3 140 140 0 684 329 140
2125 2 3 140 140 0 325 684 140
2126 2 3 140 140 0 325 687 684
2127 2 3 140 140 0 686 321 688
2128 2 3 140 140 0 689 139 322
2129 2 3 140 140 0 323 139 689
2130 2 3 140 140 0 690 686 688
2131 2 3 140 140 0 686 690 691
2132 2 3 140 140 0 166 690 688
2133 2 3 140 140 0 690 166 165
2134 2 3 140 140 0 682 685 164
2135 2 3 140 140 0 684 683 328
2136 2 3 140 140 0 691 689 686
2137 2 3 140 140 0 687 683 684
2138 2 3 140 140 0 322 686 689
2139 2 3 140 140 0 689 692 323
2140 2 3 140 140 0 691 692 689
2141 2 3 140 140 0 691 693 692
2142 2 3 140 140 0 324 323 692
2143 2 3 140 140 0 690 685 693
2144 2 3 140 140 0 165 685 690
2145 2 3 140 140 0 687 325 324
2146 2 3 140 140 0 692 693 681
2147 2 3 140 140 0 681 687 692
2148 2 3 140 140 0 692 687 324
2149 2 3 140 140 0 683 687 681
2150 2 3 140 140 0 165 164 685
2151 2 3 140 140 0 681 693 685
2152 2 3 140 140 0 688 10 166
2153 2 3 140 140 0 321 10 688
2154 2 3 140 140 0 164 12 682
2155 2 3 140 140 0 682 12 125
2156 2 3 140 140 0 690 693 691
2157 2 3 141 141 0 292 328 696
2158 2 3 141 141 0 695 292 696
2159 2 3 141 141 0 125 328 292
2160 2 3 141 141 0 258 93 695
2161 2 3 141 141 0 258 695 697
2162 2 3 141 141 0 694 695 696
2163 2 3 141 141 0 92 292 695
2164 2 3 141 141 0 695 694 697
2165 2 3 141 141 0 93 92 695
2166 2 3 141 141 0 326 327 694
2167 2 3 141 141 0 327 101 697
2168 2 3 141 141 0 101 258 697
2169 2 3 141 141 0 328 329 696
2170 2 3 141 141 0 329 140 698
2171 2 3 141 141 0 140 326 698
2172 2 3 141 141 0 694 327 697
2173 2 3 141 141 0 694 696 698
2174 2 3 141 141 0 696 329 698
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y1
144
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z0
157
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z1
142
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$PhysicalNames
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2 113 face113
2 114 face114
2 115 face115
2 116 face116
2 117 face117
2 118 face118
2 119 face119
2 120 face120
2 121 face121
2 122 face122
2 123 face123
2 124 face124
2 125 face125
2 126 face126
2 127 face127
2 128 face128
2 129 face129
2 130 face130
2 131 face131
2 132 face132
2 133 face133
2 134 face134
2 135 face135
2 136 face136
2 137 face137
2 138 face138
2 139 face139
2 140 face140
2 141 face141
2 142 face142
2 143 face143
2 144 face144
2 145 face145
2 146 face146
2 147 face147
2 148 face148
2 149 face149
2 150 face150
2 151 face151
2 152 face152
2 153 face153
2 154 face154
2 155 face155
2 156 face156
2 157 face157
2 158 face158
2 159 face159
2 160 face160
2 161 face161
2 162 face162
2 163 face163
2 164 face164
2 165 face165
2 166 face166
2 167 face167
2 168 face168
2 169 face169
2 170 face170
2 171 face171
2 172 face172
2 173 face173
2 174 face174
2 175 x0
2 176 x1
2 177 y0
2 178 y1
2 179 z0
2 180 z1
3 1 poly1
3 2 poly2
3 3 poly3
3 4 poly4
3 5 poly5
3 6 poly6
3 7 poly7
3 8 poly8
3 9 poly9
3 10 poly10
3 11 poly11
3 12 poly12
3 13 poly13
3 14 poly14
3 15 poly15
3 16 poly16
3 17 poly17
3 18 poly18
3 19 poly19
3 20 poly20
3 21 poly21
3 22 poly22
3 23 poly23
3 24 poly24
3 25 poly25
3 26 poly26
3 27 poly27
3 28 poly28
3 29 poly29
3 30 poly30
$EndPhysicalNames
$ElsetOrientations
30 euler-bunge:active
1 108.825664965425 114.820471971600 -200.618088948319
2 -80.505367812744 82.074158354380 17.342189738989
3 149.666485060018 80.490793125143 -78.763417158960
4 28.103593869267 108.188049525117 -63.614632728240
5 98.386281169428 154.399284552252 -108.609685135983
6 -127.728653159499 66.694940492113 121.343790041438
7 -42.829875342683 109.586938490021 215.743007672898
8 53.381759065614 109.734956487707 34.822231697368
9 114.113389853230 161.098039982213 -235.163523902386
10 23.538811717486 53.801332165171 -0.916204076247
11 84.298985473483 47.488808792481 -73.277392141887
12 -192.017149057955 124.055171663159 93.434905084249
13 197.066134617088 72.051336125742 -131.370789620155
14 136.012951354516 60.227157155762 -133.362642892390
15 -66.368318801933 77.015756771372 226.312338757127
16 -191.940518967770 50.796702171757 101.517830853935
17 75.153380401544 93.170797309156 29.227274921214
18 -87.958184371423 171.417172671590 256.945025063894
19 122.553013957309 125.523877993174 -178.193534462708
20 -109.360123370100 154.393655601550 175.311898871809
21 108.361642846414 174.633000297541 -180.456141300315
22 85.654904574316 113.848541941196 63.692366833359
23 51.086981568325 176.271145630090 65.319886933039
24 -15.112847574638 97.969266864760 -13.716251854950
25 -159.684257570010 78.866493657304 4.407036690384
26 7.019593276894 84.946509840618 142.052426540842
27 160.038060491016 142.675584772224 -45.485315354824
28 59.994530707472 131.491225651469 51.137505199678
29 216.403772070380 111.028012174383 -114.851920779452
30 -108.907848896538 65.498221245978 106.735131953840
$EndElsetOrientations
================================================
FILE: Neper2Abaqus/Step-2b Python/Neper2Abaqus.py
================================================
#######################################
# Version 3 of Neper
# Code created by Alvaro Martinez Pechero and Eralp Demir
# alvaro.martinezpechero@eng.ox.ac.uk
#######################################
def Neper2Abaqus(filename, matID ,noDepvar):
import numpy as np
import pandas as pd
# Set material ID:
# - enter "0" to use Neper phase output
# - enter "1-10" material ID number if user defined!
filename = filename
with open(filename+".msh", "r+") as fid:
tlines = []
for tline in fid:
tlines.append(tline.rstrip("\n"))
slines = [str(tline) for tline in tlines]
# Find the header line
st = slines.index("$Nodes")
header_line = slines.index("$Nodes")
# Find the cell that starts with the total node number
tot_nodes = int(slines[header_line + 1])
# Read node coordinates
crds = np.zeros((tot_nodes+1, 4))
###########
for i in range(st + 2, st + 2 + tot_nodes): # the -1
dummy = [float(x) for x in slines[i].split()]
ii = int(dummy[0])
crds[ii, 0:4] = dummy[0:4]
st = slines.index("$EndElements")
dummy = [int(x) for x in slines[st-1].split()]
ntag = dummy[2]
neltyp = dummy[1]
ch = 'PS' # plane stress by default
if neltyp == 2:
eltyp = 'C' + ch + '3'
nnpel = 3
numpt = 1
elif neltyp == 3:
eltyp = 'C' + ch + '4'
nnpel = 4
numpt = 4
elif neltyp == 9:
eltyp = 'C' + ch + '6'
nnpel = 6
numpt = 3
elif neltyp == 16:
eltyp = 'C' + ch + '8'
nnpel = 8
numpt = 4
elif neltyp == 4:
eltyp = 'C3D4'
nnpel = 4
numpt = 1
elif neltyp == 6:
eltyp = 'C3D6'
nnpel = 6
numpt = 2
elif neltyp == 5:
eltyp = 'C3D8'
nnpel = 8
numpt = 8
elif neltyp == 11:
eltyp = 'C3D10'
nnpel = 10
numpt = 4
elif neltyp == 18:
eltyp = 'C3D15'
nnpel = 15
numpt = 9
elif neltyp == 17:
eltyp = 'C3D20'
nnpel = 20
numpt = 27
# Total number of elements
# Read from bottom line until the
i = 0
etyp = neltyp
while etyp == neltyp:
i = i + 1
dummy = [float(x) for x in slines[st-i].split()]#CHECK THIS ONE
if len(dummy) > 1:
etyp = dummy[1]
else:
break
tot_els = i - 1
# Read connectivity
conn = np.zeros((tot_els, nnpel+1))
# Grain ids
grains = np.zeros((tot_els, 1))
# Phase ids
phases = np.zeros((tot_els, 1))
# CHANGES OF NEW VERSION materials
materials = np.ones((tot_els, 1)) * matID
ii = tot_els - 1
for i in range(st-1, st-1-tot_els, -1): #CHECK THIS ONE
dummy = np.fromstring(slines[i], dtype=int, sep=' ')
# Connectivity
conn[ii] = np.append([dummy[0]], dummy[3+ntag:3+ntag+nnpel+1])#CHECK THIS ONE
grains[ii] = dummy[3]
# Last tag is assumed to be the phase id
# It is normally zero so set to some number
phases[ii] = dummy[2+ntag]
# Element index
ii -= 1
st = slines.index("$EndPhysicalNames")
cc = slines[st-1]
aa = [int(x) for x in cc.split()[:2]]
nextindex = len(cc.split()[:2]) + 1
ee = str(aa[1])
dd = cc[nextindex:]
setname = dd[:-len(ee)]
st = slines.index('$ElsetOrientations')
tot_grains = int(slines[st + 1].split()[0])
eulers = np.zeros((tot_grains, 3))
for i in range(st + 2, tot_grains + st + 2):
dummy = [float(j) for j in slines[i].split()]
eulers[int(dummy[0]) - 1, :] = dummy[1:4]
euler = np.zeros((tot_els, 3))
for i in range(tot_els):
grnid = int(grains[i])
euler[i, :] = eulers[grnid - 1, :]
grain_order, grain_record = np.unique(grains, return_index=True)
phase_order = phases[grain_record]
material_order = materials[grain_record]
euler_angle1 = euler[grain_record, 0]
euler_angle2 = euler[grain_record, 1]
euler_angle3 = euler[grain_record, 2]
################################################################################
## WRITE TO THE FILE FROM HERE
################################################################################
print(filename)
with open("{}.inp".format(filename), "w") as inp_file:
inp_file.write("** Generated by Neper and modified by: Neper2Abaqus.m\n")
inp_file.write("**PARTS\n**\n")
inp_file.write("*Part, name=NEPER\n")
inp_file.write("*NODE\n")
for crd in crds[1:]: #REVISE -1
inp_file.write("{},\t{:e},\t{:e}, \t{:e}\n".format(int(crd[0]), crd[1], crd[2], crd[3]))
inp_file.write("*Element, type={}\n".format(eltyp))
#inp_file.write("hola")
sstr = ""
for i in range(nnpel):
sstr += " {:d},"
sstr += " {:d}\n"
####################################
intconn=np.asarray(conn, dtype = 'int')
for conn_row in intconn:
inp_file.write(sstr.format(*conn_row))
#print(conn_row)
####################################
unique_grains=np.unique(grains)
for ii in range(len(unique_grains)):
integergrainorder=int(grain_order[ii])
inp_file.write(f"*Elset, elset=GRAIN-{integergrainorder}\n")
#print('gr',gr)
grain_elements = conn[int(grain_order[ii])]
for ee in range(0,len(conn[(grains == grain_order[ii]).ravel()][:,0]),9):
inp_file.write(", ".join(str(int(e)) for e in conn[(grains == grain_order[ii]).ravel()][ee:ee+9,0]) + "\n")
numels = 0
for tt in range(len(grain_elements)):
numels += 1
uniPhases = np.unique(phases)
for ii in range(len(np.unique(phases))):
inp_file.write(f"\n*Elset, elset=Phase-{ii + 1}\n")
elem_for_ii = conn[(phases == uniPhases[ii]).ravel()]
for ee in range(0,len(elem_for_ii[:,0]),9):
inp_file.write(", ".join(str(int(e)) for e in elem_for_ii[ee:ee+9,0]) + "\n")
for ii in range(len(grain_order)):
inp_file.write("\n**Section: Section_Grain-%d\n" % grain_order[ii])
inp_file.write("*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n" % (grain_order[ii], grain_order[ii]))
inp_file.write(",\n")
# Write the closing keyword
inp_file.write("*End Part\n")
# Write the assembly information
inp_file.write("**\n**ASSEMBLY\n**\n")
inp_file.write("*Assembly, name=Assembly\n**\n")
inp_file.write("*Instance, name=NEPER-1, part=NEPER\n")
# Write the nodes
inp_file.write("*NODE\n")
for i in range(1,len(crds[:,0])):
inp_file.write(f"{int(crds[i, 0])},\t{'{:.6e}'.format(crds[i, 1])},\t{'{:.6e}'.format(crds[i, 2])},\t{'{:.6e}'.format(crds[i, 3])}\n")
#inp_file.write("%d, %.2f, %.2f, %.2f\n" % (i+1, nodes[i, 1], nodes[i, 2], nodes[i, 3]))
inp_file.write('*Element, type=' + eltyp + '\n')
sstr = ''
#print(conn[-1])
for i in range(len(conn)):
intconn2=np.asarray(conn[i], dtype = 'int')
line = ','.join(str(x) for x in intconn2)
inp_file.write(line + '\n')
inp_file.write('\n*End Instance\n')
inp_file.write('**\n')
inp_file.write('*End Assembly\n**MATERIALS\n**\n')
#import material parameters to be used in the development of materials
#for each grain.
df = pd.read_excel('PROPS.xlsx', sheet_name='Material_parameters', usecols="A", header=None)
A16 = np.array(df.iloc[0:6, :])
# Flag for reading the inputs from the file or material library
# "0": material library in usermaterial.f will be used
# "1": use the material parameters in excel file
if A16[5] == 0:
A = [""] * 6
A[5] = 0 #CHANGE HERE
noPROPS = 6
# Flag for reading the inputs from the file or material library
# "0": material library in usermaterial.f will be used
# "1": use the material parameters in excel file
else:
A = [""] * 300
A[5] = 1
noPROPS = 300
#noDepvar = 1;
for ii in range(len(grain_order)):
inp_file.write("\n*Material, name=MATERIAL-GRAIN%d" % int(grain_order[ii]))
inp_file.write(f"\n*Depvar\n{noDepvar},")
inp_file.write(f"\n*User Material, constants={noPROPS}\n")
A[0:3] = [euler_angle1[ii], euler_angle2[ii], euler_angle3[ii]]
A[3] = int(grain_order[ii])
# PHASE ORDER ID
if matID>0:
A[4] = int(material_order[ii])
else:
A[4] = int(phase_order[ii])
if A16[5] ==1:
for iph in uniPhases:
#print(iph)
letter = chr(int(iph) + 64)
xlRange = f"{letter}1:{letter}300"#CHANGE
df = pd.read_excel("PROPS.xlsx", sheet_name='Material_parameters', usecols="A", header=None)
B = np.array(df.iloc[0:301, :]).flatten()
#print(B)
#B=tolist(B)
# All parameters
A[6:301] = B[6:301]
#print(A)
for i in range(0, len(A), 8):
if i+8<=len(A):
A[i+7]=A[i+7].item()
inp_file.write(",".join(str(x) for x in A[i:i+8]) + "\n")
inp_file.write("\n**")
inp_file.write("\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.")
inp_file.write("\n**\n** OUTPUT REQUESTS\n**")
inp_file.write("\n*Restart, write, frequency=0\n**")
inp_file.write("\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**")
if noDepvar>0:
inp_file.write("\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**")
inp_file.write("\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**")
inp_file.write("\n*End Step")
inp_file.close()
================================================
FILE: Neper2Abaqus/Step-2b Python/abq_hex.inp
================================================
** Generated by Neper and modified by: Neper2Abaqus.m
**PARTS
**
*Part, name=NEPER
*NODE
1, 0.000000e+00, 0.000000e+00, 0.000000e+00
2, 7.142857e-02, 0.000000e+00, 0.000000e+00
3, 1.428571e-01, 0.000000e+00, 0.000000e+00
4, 2.142857e-01, 0.000000e+00, 0.000000e+00
5, 2.857143e-01, 0.000000e+00, 0.000000e+00
6, 3.571429e-01, 0.000000e+00, 0.000000e+00
7, 4.285714e-01, 0.000000e+00, 0.000000e+00
8, 5.000000e-01, 0.000000e+00, 0.000000e+00
9, 5.714286e-01, 0.000000e+00, 0.000000e+00
10, 6.428571e-01, 0.000000e+00, 0.000000e+00
11, 7.142857e-01, 0.000000e+00, 0.000000e+00
12, 7.857143e-01, 0.000000e+00, 0.000000e+00
13, 8.571429e-01, 0.000000e+00, 0.000000e+00
14, 9.285714e-01, 0.000000e+00, 0.000000e+00
15, 1.000000e+00, 0.000000e+00, 0.000000e+00
16, 0.000000e+00, 7.142857e-02, 0.000000e+00
17, 7.142857e-02, 7.142857e-02, 0.000000e+00
18, 1.428571e-01, 7.142857e-02, 0.000000e+00
19, 2.142857e-01, 7.142857e-02, 0.000000e+00
20, 2.857143e-01, 7.142857e-02, 0.000000e+00
21, 3.571429e-01, 7.142857e-02, 0.000000e+00
22, 4.285714e-01, 7.142857e-02, 0.000000e+00
23, 5.000000e-01, 7.142857e-02, 0.000000e+00
24, 5.714286e-01, 7.142857e-02, 0.000000e+00
25, 6.428571e-01, 7.142857e-02, 0.000000e+00
26, 7.142857e-01, 7.142857e-02, 0.000000e+00
27, 7.857143e-01, 7.142857e-02, 0.000000e+00
28, 8.571429e-01, 7.142857e-02, 0.000000e+00
29, 9.285714e-01, 7.142857e-02, 0.000000e+00
30, 1.000000e+00, 7.142857e-02, 0.000000e+00
31, 0.000000e+00, 1.428571e-01, 0.000000e+00
32, 7.142857e-02, 1.428571e-01, 0.000000e+00
33, 1.428571e-01, 1.428571e-01, 0.000000e+00
34, 2.142857e-01, 1.428571e-01, 0.000000e+00
35, 2.857143e-01, 1.428571e-01, 0.000000e+00
36, 3.571429e-01, 1.428571e-01, 0.000000e+00
37, 4.285714e-01, 1.428571e-01, 0.000000e+00
38, 5.000000e-01, 1.428571e-01, 0.000000e+00
39, 5.714286e-01, 1.428571e-01, 0.000000e+00
40, 6.428571e-01, 1.428571e-01, 0.000000e+00
41, 7.142857e-01, 1.428571e-01, 0.000000e+00
42, 7.857143e-01, 1.428571e-01, 0.000000e+00
43, 8.571429e-01, 1.428571e-01, 0.000000e+00
44, 9.285714e-01, 1.428571e-01, 0.000000e+00
45, 1.000000e+00, 1.428571e-01, 0.000000e+00
46, 0.000000e+00, 2.142857e-01, 0.000000e+00
47, 7.142857e-02, 2.142857e-01, 0.000000e+00
48, 1.428571e-01, 2.142857e-01, 0.000000e+00
49, 2.142857e-01, 2.142857e-01, 0.000000e+00
50, 2.857143e-01, 2.142857e-01, 0.000000e+00
51, 3.571429e-01, 2.142857e-01, 0.000000e+00
52, 4.285714e-01, 2.142857e-01, 0.000000e+00
53, 5.000000e-01, 2.142857e-01, 0.000000e+00
54, 5.714286e-01, 2.142857e-01, 0.000000e+00
55, 6.428571e-01, 2.142857e-01, 0.000000e+00
56, 7.142857e-01, 2.142857e-01, 0.000000e+00
57, 7.857143e-01, 2.142857e-01, 0.000000e+00
58, 8.571429e-01, 2.142857e-01, 0.000000e+00
59, 9.285714e-01, 2.142857e-01, 0.000000e+00
60, 1.000000e+00, 2.142857e-01, 0.000000e+00
61, 0.000000e+00, 2.857143e-01, 0.000000e+00
62, 7.142857e-02, 2.857143e-01, 0.000000e+00
63, 1.428571e-01, 2.857143e-01, 0.000000e+00
64, 2.142857e-01, 2.857143e-01, 0.000000e+00
65, 2.857143e-01, 2.857143e-01, 0.000000e+00
66, 3.571429e-01, 2.857143e-01, 0.000000e+00
67, 4.285714e-01, 2.857143e-01, 0.000000e+00
68, 5.000000e-01, 2.857143e-01, 0.000000e+00
69, 5.714286e-01, 2.857143e-01, 0.000000e+00
70, 6.428571e-01, 2.857143e-01, 0.000000e+00
71, 7.142857e-01, 2.857143e-01, 0.000000e+00
72, 7.857143e-01, 2.857143e-01, 0.000000e+00
73, 8.571429e-01, 2.857143e-01, 0.000000e+00
74, 9.285714e-01, 2.857143e-01, 0.000000e+00
75, 1.000000e+00, 2.857143e-01, 0.000000e+00
76, 0.000000e+00, 3.571429e-01, 0.000000e+00
77, 7.142857e-02, 3.571429e-01, 0.000000e+00
78, 1.428571e-01, 3.571429e-01, 0.000000e+00
79, 2.142857e-01, 3.571429e-01, 0.000000e+00
80, 2.857143e-01, 3.571429e-01, 0.000000e+00
81, 3.571429e-01, 3.571429e-01, 0.000000e+00
82, 4.285714e-01, 3.571429e-01, 0.000000e+00
83, 5.000000e-01, 3.571429e-01, 0.000000e+00
84, 5.714286e-01, 3.571429e-01, 0.000000e+00
85, 6.428571e-01, 3.571429e-01, 0.000000e+00
86, 7.142857e-01, 3.571429e-01, 0.000000e+00
87, 7.857143e-01, 3.571429e-01, 0.000000e+00
88, 8.571429e-01, 3.571429e-01, 0.000000e+00
89, 9.285714e-01, 3.571429e-01, 0.000000e+00
90, 1.000000e+00, 3.571429e-01, 0.000000e+00
91, 0.000000e+00, 4.285714e-01, 0.000000e+00
92, 7.142857e-02, 4.285714e-01, 0.000000e+00
93, 1.428571e-01, 4.285714e-01, 0.000000e+00
94, 2.142857e-01, 4.285714e-01, 0.000000e+00
95, 2.857143e-01, 4.285714e-01, 0.000000e+00
96, 3.571429e-01, 4.285714e-01, 0.000000e+00
97, 4.285714e-01, 4.285714e-01, 0.000000e+00
98, 5.000000e-01, 4.285714e-01, 0.000000e+00
99, 5.714286e-01, 4.285714e-01, 0.000000e+00
100, 6.428571e-01, 4.285714e-01, 0.000000e+00
101, 7.142857e-01, 4.285714e-01, 0.000000e+00
102, 7.857143e-01, 4.285714e-01, 0.000000e+00
103, 8.571429e-01, 4.285714e-01, 0.000000e+00
104, 9.285714e-01, 4.285714e-01, 0.000000e+00
105, 1.000000e+00, 4.285714e-01, 0.000000e+00
106, 0.000000e+00, 5.000000e-01, 0.000000e+00
107, 7.142857e-02, 5.000000e-01, 0.000000e+00
108, 1.428571e-01, 5.000000e-01, 0.000000e+00
109, 2.142857e-01, 5.000000e-01, 0.000000e+00
110, 2.857143e-01, 5.000000e-01, 0.000000e+00
111, 3.571429e-01, 5.000000e-01, 0.000000e+00
112, 4.285714e-01, 5.000000e-01, 0.000000e+00
113, 5.000000e-01, 5.000000e-01, 0.000000e+00
114, 5.714286e-01, 5.000000e-01, 0.000000e+00
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713, 5.000000e-01, 1.428571e-01, 2.142857e-01
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729, 5.714286e-01, 2.142857e-01, 2.142857e-01
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733, 8.571429e-01, 2.142857e-01, 2.142857e-01
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743, 5.000000e-01, 2.857143e-01, 2.142857e-01
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749, 9.285714e-01, 2.857143e-01, 2.142857e-01
750, 1.000000e+00, 2.857143e-01, 2.142857e-01
751, 0.000000e+00, 3.571429e-01, 2.142857e-01
752, 7.142857e-02, 3.571429e-01, 2.142857e-01
753, 1.428571e-01, 3.571429e-01, 2.142857e-01
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761, 7.142857e-01, 3.571429e-01, 2.142857e-01
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763, 8.571429e-01, 3.571429e-01, 2.142857e-01
764, 9.285714e-01, 3.571429e-01, 2.142857e-01
765, 1.000000e+00, 3.571429e-01, 2.142857e-01
766, 0.000000e+00, 4.285714e-01, 2.142857e-01
767, 7.142857e-02, 4.285714e-01, 2.142857e-01
768, 1.428571e-01, 4.285714e-01, 2.142857e-01
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770, 2.857143e-01, 4.285714e-01, 2.142857e-01
771, 3.571429e-01, 4.285714e-01, 2.142857e-01
772, 4.285714e-01, 4.285714e-01, 2.142857e-01
773, 5.000000e-01, 4.285714e-01, 2.142857e-01
774, 5.714286e-01, 4.285714e-01, 2.142857e-01
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776, 7.142857e-01, 4.285714e-01, 2.142857e-01
777, 7.857143e-01, 4.285714e-01, 2.142857e-01
778, 8.571429e-01, 4.285714e-01, 2.142857e-01
779, 9.285714e-01, 4.285714e-01, 2.142857e-01
780, 1.000000e+00, 4.285714e-01, 2.142857e-01
781, 0.000000e+00, 5.000000e-01, 2.142857e-01
782, 7.142857e-02, 5.000000e-01, 2.142857e-01
783, 1.428571e-01, 5.000000e-01, 2.142857e-01
784, 2.142857e-01, 5.000000e-01, 2.142857e-01
785, 2.857143e-01, 5.000000e-01, 2.142857e-01
786, 3.571429e-01, 5.000000e-01, 2.142857e-01
787, 4.285714e-01, 5.000000e-01, 2.142857e-01
788, 5.000000e-01, 5.000000e-01, 2.142857e-01
789, 5.714286e-01, 5.000000e-01, 2.142857e-01
790, 6.428571e-01, 5.000000e-01, 2.142857e-01
791, 7.142857e-01, 5.000000e-01, 2.142857e-01
792, 7.857143e-01, 5.000000e-01, 2.142857e-01
793, 8.571429e-01, 5.000000e-01, 2.142857e-01
794, 9.285714e-01, 5.000000e-01, 2.142857e-01
795, 1.000000e+00, 5.000000e-01, 2.142857e-01
796, 0.000000e+00, 5.714286e-01, 2.142857e-01
797, 7.142857e-02, 5.714286e-01, 2.142857e-01
798, 1.428571e-01, 5.714286e-01, 2.142857e-01
799, 2.142857e-01, 5.714286e-01, 2.142857e-01
800, 2.857143e-01, 5.714286e-01, 2.142857e-01
801, 3.571429e-01, 5.714286e-01, 2.142857e-01
802, 4.285714e-01, 5.714286e-01, 2.142857e-01
803, 5.000000e-01, 5.714286e-01, 2.142857e-01
804, 5.714286e-01, 5.714286e-01, 2.142857e-01
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806, 7.142857e-01, 5.714286e-01, 2.142857e-01
807, 7.857143e-01, 5.714286e-01, 2.142857e-01
808, 8.571429e-01, 5.714286e-01, 2.142857e-01
809, 9.285714e-01, 5.714286e-01, 2.142857e-01
810, 1.000000e+00, 5.714286e-01, 2.142857e-01
811, 0.000000e+00, 6.428571e-01, 2.142857e-01
812, 7.142857e-02, 6.428571e-01, 2.142857e-01
813, 1.428571e-01, 6.428571e-01, 2.142857e-01
814, 2.142857e-01, 6.428571e-01, 2.142857e-01
815, 2.857143e-01, 6.428571e-01, 2.142857e-01
816, 3.571429e-01, 6.428571e-01, 2.142857e-01
817, 4.285714e-01, 6.428571e-01, 2.142857e-01
818, 5.000000e-01, 6.428571e-01, 2.142857e-01
819, 5.714286e-01, 6.428571e-01, 2.142857e-01
820, 6.428571e-01, 6.428571e-01, 2.142857e-01
821, 7.142857e-01, 6.428571e-01, 2.142857e-01
822, 7.857143e-01, 6.428571e-01, 2.142857e-01
823, 8.571429e-01, 6.428571e-01, 2.142857e-01
824, 9.285714e-01, 6.428571e-01, 2.142857e-01
825, 1.000000e+00, 6.428571e-01, 2.142857e-01
826, 0.000000e+00, 7.142857e-01, 2.142857e-01
827, 7.142857e-02, 7.142857e-01, 2.142857e-01
828, 1.428571e-01, 7.142857e-01, 2.142857e-01
829, 2.142857e-01, 7.142857e-01, 2.142857e-01
830, 2.857143e-01, 7.142857e-01, 2.142857e-01
831, 3.571429e-01, 7.142857e-01, 2.142857e-01
832, 4.285714e-01, 7.142857e-01, 2.142857e-01
833, 5.000000e-01, 7.142857e-01, 2.142857e-01
834, 5.714286e-01, 7.142857e-01, 2.142857e-01
835, 6.428571e-01, 7.142857e-01, 2.142857e-01
836, 7.142857e-01, 7.142857e-01, 2.142857e-01
837, 7.857143e-01, 7.142857e-01, 2.142857e-01
838, 8.571429e-01, 7.142857e-01, 2.142857e-01
839, 9.285714e-01, 7.142857e-01, 2.142857e-01
840, 1.000000e+00, 7.142857e-01, 2.142857e-01
841, 0.000000e+00, 7.857143e-01, 2.142857e-01
842, 7.142857e-02, 7.857143e-01, 2.142857e-01
843, 1.428571e-01, 7.857143e-01, 2.142857e-01
844, 2.142857e-01, 7.857143e-01, 2.142857e-01
845, 2.857143e-01, 7.857143e-01, 2.142857e-01
846, 3.571429e-01, 7.857143e-01, 2.142857e-01
847, 4.285714e-01, 7.857143e-01, 2.142857e-01
848, 5.000000e-01, 7.857143e-01, 2.142857e-01
849, 5.714286e-01, 7.857143e-01, 2.142857e-01
850, 6.428571e-01, 7.857143e-01, 2.142857e-01
851, 7.142857e-01, 7.857143e-01, 2.142857e-01
852, 7.857143e-01, 7.857143e-01, 2.142857e-01
853, 8.571429e-01, 7.857143e-01, 2.142857e-01
854, 9.285714e-01, 7.857143e-01, 2.142857e-01
855, 1.000000e+00, 7.857143e-01, 2.142857e-01
856, 0.000000e+00, 8.571429e-01, 2.142857e-01
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858, 1.428571e-01, 8.571429e-01, 2.142857e-01
859, 2.142857e-01, 8.571429e-01, 2.142857e-01
860, 2.857143e-01, 8.571429e-01, 2.142857e-01
861, 3.571429e-01, 8.571429e-01, 2.142857e-01
862, 4.285714e-01, 8.571429e-01, 2.142857e-01
863, 5.000000e-01, 8.571429e-01, 2.142857e-01
864, 5.714286e-01, 8.571429e-01, 2.142857e-01
865, 6.428571e-01, 8.571429e-01, 2.142857e-01
866, 7.142857e-01, 8.571429e-01, 2.142857e-01
867, 7.857143e-01, 8.571429e-01, 2.142857e-01
868, 8.571429e-01, 8.571429e-01, 2.142857e-01
869, 9.285714e-01, 8.571429e-01, 2.142857e-01
870, 1.000000e+00, 8.571429e-01, 2.142857e-01
871, 0.000000e+00, 9.285714e-01, 2.142857e-01
872, 7.142857e-02, 9.285714e-01, 2.142857e-01
873, 1.428571e-01, 9.285714e-01, 2.142857e-01
874, 2.142857e-01, 9.285714e-01, 2.142857e-01
875, 2.857143e-01, 9.285714e-01, 2.142857e-01
876, 3.571429e-01, 9.285714e-01, 2.142857e-01
877, 4.285714e-01, 9.285714e-01, 2.142857e-01
878, 5.000000e-01, 9.285714e-01, 2.142857e-01
879, 5.714286e-01, 9.285714e-01, 2.142857e-01
880, 6.428571e-01, 9.285714e-01, 2.142857e-01
881, 7.142857e-01, 9.285714e-01, 2.142857e-01
882, 7.857143e-01, 9.285714e-01, 2.142857e-01
883, 8.571429e-01, 9.285714e-01, 2.142857e-01
884, 9.285714e-01, 9.285714e-01, 2.142857e-01
885, 1.000000e+00, 9.285714e-01, 2.142857e-01
886, 0.000000e+00, 1.000000e+00, 2.142857e-01
887, 7.142857e-02, 1.000000e+00, 2.142857e-01
888, 1.428571e-01, 1.000000e+00, 2.142857e-01
889, 2.142857e-01, 1.000000e+00, 2.142857e-01
890, 2.857143e-01, 1.000000e+00, 2.142857e-01
891, 3.571429e-01, 1.000000e+00, 2.142857e-01
892, 4.285714e-01, 1.000000e+00, 2.142857e-01
893, 5.000000e-01, 1.000000e+00, 2.142857e-01
894, 5.714286e-01, 1.000000e+00, 2.142857e-01
895, 6.428571e-01, 1.000000e+00, 2.142857e-01
896, 7.142857e-01, 1.000000e+00, 2.142857e-01
897, 7.857143e-01, 1.000000e+00, 2.142857e-01
898, 8.571429e-01, 1.000000e+00, 2.142857e-01
899, 9.285714e-01, 1.000000e+00, 2.142857e-01
900, 1.000000e+00, 1.000000e+00, 2.142857e-01
901, 0.000000e+00, 0.000000e+00, 2.857143e-01
902, 7.142857e-02, 0.000000e+00, 2.857143e-01
903, 1.428571e-01, 0.000000e+00, 2.857143e-01
904, 2.142857e-01, 0.000000e+00, 2.857143e-01
905, 2.857143e-01, 0.000000e+00, 2.857143e-01
906, 3.571429e-01, 0.000000e+00, 2.857143e-01
907, 4.285714e-01, 0.000000e+00, 2.857143e-01
908, 5.000000e-01, 0.000000e+00, 2.857143e-01
909, 5.714286e-01, 0.000000e+00, 2.857143e-01
910, 6.428571e-01, 0.000000e+00, 2.857143e-01
911, 7.142857e-01, 0.000000e+00, 2.857143e-01
912, 7.857143e-01, 0.000000e+00, 2.857143e-01
913, 8.571429e-01, 0.000000e+00, 2.857143e-01
914, 9.285714e-01, 0.000000e+00, 2.857143e-01
915, 1.000000e+00, 0.000000e+00, 2.857143e-01
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918, 1.428571e-01, 7.142857e-02, 2.857143e-01
919, 2.142857e-01, 7.142857e-02, 2.857143e-01
920, 2.857143e-01, 7.142857e-02, 2.857143e-01
921, 3.571429e-01, 7.142857e-02, 2.857143e-01
922, 4.285714e-01, 7.142857e-02, 2.857143e-01
923, 5.000000e-01, 7.142857e-02, 2.857143e-01
924, 5.714286e-01, 7.142857e-02, 2.857143e-01
925, 6.428571e-01, 7.142857e-02, 2.857143e-01
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927, 7.857143e-01, 7.142857e-02, 2.857143e-01
928, 8.571429e-01, 7.142857e-02, 2.857143e-01
929, 9.285714e-01, 7.142857e-02, 2.857143e-01
930, 1.000000e+00, 7.142857e-02, 2.857143e-01
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933, 1.428571e-01, 1.428571e-01, 2.857143e-01
934, 2.142857e-01, 1.428571e-01, 2.857143e-01
935, 2.857143e-01, 1.428571e-01, 2.857143e-01
936, 3.571429e-01, 1.428571e-01, 2.857143e-01
937, 4.285714e-01, 1.428571e-01, 2.857143e-01
938, 5.000000e-01, 1.428571e-01, 2.857143e-01
939, 5.714286e-01, 1.428571e-01, 2.857143e-01
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943, 8.571429e-01, 1.428571e-01, 2.857143e-01
944, 9.285714e-01, 1.428571e-01, 2.857143e-01
945, 1.000000e+00, 1.428571e-01, 2.857143e-01
946, 0.000000e+00, 2.142857e-01, 2.857143e-01
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950, 2.857143e-01, 2.142857e-01, 2.857143e-01
951, 3.571429e-01, 2.142857e-01, 2.857143e-01
952, 4.285714e-01, 2.142857e-01, 2.857143e-01
953, 5.000000e-01, 2.142857e-01, 2.857143e-01
954, 5.714286e-01, 2.142857e-01, 2.857143e-01
955, 6.428571e-01, 2.142857e-01, 2.857143e-01
956, 7.142857e-01, 2.142857e-01, 2.857143e-01
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959, 9.285714e-01, 2.142857e-01, 2.857143e-01
960, 1.000000e+00, 2.142857e-01, 2.857143e-01
961, 0.000000e+00, 2.857143e-01, 2.857143e-01
962, 7.142857e-02, 2.857143e-01, 2.857143e-01
963, 1.428571e-01, 2.857143e-01, 2.857143e-01
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965, 2.857143e-01, 2.857143e-01, 2.857143e-01
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967, 4.285714e-01, 2.857143e-01, 2.857143e-01
968, 5.000000e-01, 2.857143e-01, 2.857143e-01
969, 5.714286e-01, 2.857143e-01, 2.857143e-01
970, 6.428571e-01, 2.857143e-01, 2.857143e-01
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973, 8.571429e-01, 2.857143e-01, 2.857143e-01
974, 9.285714e-01, 2.857143e-01, 2.857143e-01
975, 1.000000e+00, 2.857143e-01, 2.857143e-01
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977, 7.142857e-02, 3.571429e-01, 2.857143e-01
978, 1.428571e-01, 3.571429e-01, 2.857143e-01
979, 2.142857e-01, 3.571429e-01, 2.857143e-01
980, 2.857143e-01, 3.571429e-01, 2.857143e-01
981, 3.571429e-01, 3.571429e-01, 2.857143e-01
982, 4.285714e-01, 3.571429e-01, 2.857143e-01
983, 5.000000e-01, 3.571429e-01, 2.857143e-01
984, 5.714286e-01, 3.571429e-01, 2.857143e-01
985, 6.428571e-01, 3.571429e-01, 2.857143e-01
986, 7.142857e-01, 3.571429e-01, 2.857143e-01
987, 7.857143e-01, 3.571429e-01, 2.857143e-01
988, 8.571429e-01, 3.571429e-01, 2.857143e-01
989, 9.285714e-01, 3.571429e-01, 2.857143e-01
990, 1.000000e+00, 3.571429e-01, 2.857143e-01
991, 0.000000e+00, 4.285714e-01, 2.857143e-01
992, 7.142857e-02, 4.285714e-01, 2.857143e-01
993, 1.428571e-01, 4.285714e-01, 2.857143e-01
994, 2.142857e-01, 4.285714e-01, 2.857143e-01
995, 2.857143e-01, 4.285714e-01, 2.857143e-01
996, 3.571429e-01, 4.285714e-01, 2.857143e-01
997, 4.285714e-01, 4.285714e-01, 2.857143e-01
998, 5.000000e-01, 4.285714e-01, 2.857143e-01
999, 5.714286e-01, 4.285714e-01, 2.857143e-01
1000, 6.428571e-01, 4.285714e-01, 2.857143e-01
1001, 7.142857e-01, 4.285714e-01, 2.857143e-01
1002, 7.857143e-01, 4.285714e-01, 2.857143e-01
1003, 8.571429e-01, 4.285714e-01, 2.857143e-01
1004, 9.285714e-01, 4.285714e-01, 2.857143e-01
1005, 1.000000e+00, 4.285714e-01, 2.857143e-01
1006, 0.000000e+00, 5.000000e-01, 2.857143e-01
1007, 7.142857e-02, 5.000000e-01, 2.857143e-01
1008, 1.428571e-01, 5.000000e-01, 2.857143e-01
1009, 2.142857e-01, 5.000000e-01, 2.857143e-01
1010, 2.857143e-01, 5.000000e-01, 2.857143e-01
1011, 3.571429e-01, 5.000000e-01, 2.857143e-01
1012, 4.285714e-01, 5.000000e-01, 2.857143e-01
1013, 5.000000e-01, 5.000000e-01, 2.857143e-01
1014, 5.714286e-01, 5.000000e-01, 2.857143e-01
1015, 6.428571e-01, 5.000000e-01, 2.857143e-01
1016, 7.142857e-01, 5.000000e-01, 2.857143e-01
1017, 7.857143e-01, 5.000000e-01, 2.857143e-01
1018, 8.571429e-01, 5.000000e-01, 2.857143e-01
1019, 9.285714e-01, 5.000000e-01, 2.857143e-01
1020, 1.000000e+00, 5.000000e-01, 2.857143e-01
1021, 0.000000e+00, 5.714286e-01, 2.857143e-01
1022, 7.142857e-02, 5.714286e-01, 2.857143e-01
1023, 1.428571e-01, 5.714286e-01, 2.857143e-01
1024, 2.142857e-01, 5.714286e-01, 2.857143e-01
1025, 2.857143e-01, 5.714286e-01, 2.857143e-01
1026, 3.571429e-01, 5.714286e-01, 2.857143e-01
1027, 4.285714e-01, 5.714286e-01, 2.857143e-01
1028, 5.000000e-01, 5.714286e-01, 2.857143e-01
1029, 5.714286e-01, 5.714286e-01, 2.857143e-01
1030, 6.428571e-01, 5.714286e-01, 2.857143e-01
1031, 7.142857e-01, 5.714286e-01, 2.857143e-01
1032, 7.857143e-01, 5.714286e-01, 2.857143e-01
1033, 8.571429e-01, 5.714286e-01, 2.857143e-01
1034, 9.285714e-01, 5.714286e-01, 2.857143e-01
1035, 1.000000e+00, 5.714286e-01, 2.857143e-01
1036, 0.000000e+00, 6.428571e-01, 2.857143e-01
1037, 7.142857e-02, 6.428571e-01, 2.857143e-01
1038, 1.428571e-01, 6.428571e-01, 2.857143e-01
1039, 2.142857e-01, 6.428571e-01, 2.857143e-01
1040, 2.857143e-01, 6.428571e-01, 2.857143e-01
1041, 3.571429e-01, 6.428571e-01, 2.857143e-01
1042, 4.285714e-01, 6.428571e-01, 2.857143e-01
1043, 5.000000e-01, 6.428571e-01, 2.857143e-01
1044, 5.714286e-01, 6.428571e-01, 2.857143e-01
1045, 6.428571e-01, 6.428571e-01, 2.857143e-01
1046, 7.142857e-01, 6.428571e-01, 2.857143e-01
1047, 7.857143e-01, 6.428571e-01, 2.857143e-01
1048, 8.571429e-01, 6.428571e-01, 2.857143e-01
1049, 9.285714e-01, 6.428571e-01, 2.857143e-01
1050, 1.000000e+00, 6.428571e-01, 2.857143e-01
1051, 0.000000e+00, 7.142857e-01, 2.857143e-01
1052, 7.142857e-02, 7.142857e-01, 2.857143e-01
1053, 1.428571e-01, 7.142857e-01, 2.857143e-01
1054, 2.142857e-01, 7.142857e-01, 2.857143e-01
1055, 2.857143e-01, 7.142857e-01, 2.857143e-01
1056, 3.571429e-01, 7.142857e-01, 2.857143e-01
1057, 4.285714e-01, 7.142857e-01, 2.857143e-01
1058, 5.000000e-01, 7.142857e-01, 2.857143e-01
1059, 5.714286e-01, 7.142857e-01, 2.857143e-01
1060, 6.428571e-01, 7.142857e-01, 2.857143e-01
1061, 7.142857e-01, 7.142857e-01, 2.857143e-01
1062, 7.857143e-01, 7.142857e-01, 2.857143e-01
1063, 8.571429e-01, 7.142857e-01, 2.857143e-01
1064, 9.285714e-01, 7.142857e-01, 2.857143e-01
1065, 1.000000e+00, 7.142857e-01, 2.857143e-01
1066, 0.000000e+00, 7.857143e-01, 2.857143e-01
1067, 7.142857e-02, 7.857143e-01, 2.857143e-01
1068, 1.428571e-01, 7.857143e-01, 2.857143e-01
1069, 2.142857e-01, 7.857143e-01, 2.857143e-01
1070, 2.857143e-01, 7.857143e-01, 2.857143e-01
1071, 3.571429e-01, 7.857143e-01, 2.857143e-01
1072, 4.285714e-01, 7.857143e-01, 2.857143e-01
1073, 5.000000e-01, 7.857143e-01, 2.857143e-01
1074, 5.714286e-01, 7.857143e-01, 2.857143e-01
1075, 6.428571e-01, 7.857143e-01, 2.857143e-01
1076, 7.142857e-01, 7.857143e-01, 2.857143e-01
1077, 7.857143e-01, 7.857143e-01, 2.857143e-01
1078, 8.571429e-01, 7.857143e-01, 2.857143e-01
1079, 9.285714e-01, 7.857143e-01, 2.857143e-01
1080, 1.000000e+00, 7.857143e-01, 2.857143e-01
1081, 0.000000e+00, 8.571429e-01, 2.857143e-01
1082, 7.142857e-02, 8.571429e-01, 2.857143e-01
1083, 1.428571e-01, 8.571429e-01, 2.857143e-01
1084, 2.142857e-01, 8.571429e-01, 2.857143e-01
1085, 2.857143e-01, 8.571429e-01, 2.857143e-01
1086, 3.571429e-01, 8.571429e-01, 2.857143e-01
1087, 4.285714e-01, 8.571429e-01, 2.857143e-01
1088, 5.000000e-01, 8.571429e-01, 2.857143e-01
1089, 5.714286e-01, 8.571429e-01, 2.857143e-01
1090, 6.428571e-01, 8.571429e-01, 2.857143e-01
1091, 7.142857e-01, 8.571429e-01, 2.857143e-01
1092, 7.857143e-01, 8.571429e-01, 2.857143e-01
1093, 8.571429e-01, 8.571429e-01, 2.857143e-01
1094, 9.285714e-01, 8.571429e-01, 2.857143e-01
1095, 1.000000e+00, 8.571429e-01, 2.857143e-01
1096, 0.000000e+00, 9.285714e-01, 2.857143e-01
1097, 7.142857e-02, 9.285714e-01, 2.857143e-01
1098, 1.428571e-01, 9.285714e-01, 2.857143e-01
1099, 2.142857e-01, 9.285714e-01, 2.857143e-01
1100, 2.857143e-01, 9.285714e-01, 2.857143e-01
1101, 3.571429e-01, 9.285714e-01, 2.857143e-01
1102, 4.285714e-01, 9.285714e-01, 2.857143e-01
1103, 5.000000e-01, 9.285714e-01, 2.857143e-01
1104, 5.714286e-01, 9.285714e-01, 2.857143e-01
1105, 6.428571e-01, 9.285714e-01, 2.857143e-01
1106, 7.142857e-01, 9.285714e-01, 2.857143e-01
1107, 7.857143e-01, 9.285714e-01, 2.857143e-01
1108, 8.571429e-01, 9.285714e-01, 2.857143e-01
1109, 9.285714e-01, 9.285714e-01, 2.857143e-01
1110, 1.000000e+00, 9.285714e-01, 2.857143e-01
1111, 0.000000e+00, 1.000000e+00, 2.857143e-01
1112, 7.142857e-02, 1.000000e+00, 2.857143e-01
1113, 1.428571e-01, 1.000000e+00, 2.857143e-01
1114, 2.142857e-01, 1.000000e+00, 2.857143e-01
1115, 2.857143e-01, 1.000000e+00, 2.857143e-01
1116, 3.571429e-01, 1.000000e+00, 2.857143e-01
1117, 4.285714e-01, 1.000000e+00, 2.857143e-01
1118, 5.000000e-01, 1.000000e+00, 2.857143e-01
1119, 5.714286e-01, 1.000000e+00, 2.857143e-01
1120, 6.428571e-01, 1.000000e+00, 2.857143e-01
1121, 7.142857e-01, 1.000000e+00, 2.857143e-01
1122, 7.857143e-01, 1.000000e+00, 2.857143e-01
1123, 8.571429e-01, 1.000000e+00, 2.857143e-01
1124, 9.285714e-01, 1.000000e+00, 2.857143e-01
1125, 1.000000e+00, 1.000000e+00, 2.857143e-01
1126, 0.000000e+00, 0.000000e+00, 3.571429e-01
1127, 7.142857e-02, 0.000000e+00, 3.571429e-01
1128, 1.428571e-01, 0.000000e+00, 3.571429e-01
1129, 2.142857e-01, 0.000000e+00, 3.571429e-01
1130, 2.857143e-01, 0.000000e+00, 3.571429e-01
1131, 3.571429e-01, 0.000000e+00, 3.571429e-01
1132, 4.285714e-01, 0.000000e+00, 3.571429e-01
1133, 5.000000e-01, 0.000000e+00, 3.571429e-01
1134, 5.714286e-01, 0.000000e+00, 3.571429e-01
1135, 6.428571e-01, 0.000000e+00, 3.571429e-01
1136, 7.142857e-01, 0.000000e+00, 3.571429e-01
1137, 7.857143e-01, 0.000000e+00, 3.571429e-01
1138, 8.571429e-01, 0.000000e+00, 3.571429e-01
1139, 9.285714e-01, 0.000000e+00, 3.571429e-01
1140, 1.000000e+00, 0.000000e+00, 3.571429e-01
1141, 0.000000e+00, 7.142857e-02, 3.571429e-01
1142, 7.142857e-02, 7.142857e-02, 3.571429e-01
1143, 1.428571e-01, 7.142857e-02, 3.571429e-01
1144, 2.142857e-01, 7.142857e-02, 3.571429e-01
1145, 2.857143e-01, 7.142857e-02, 3.571429e-01
1146, 3.571429e-01, 7.142857e-02, 3.571429e-01
1147, 4.285714e-01, 7.142857e-02, 3.571429e-01
1148, 5.000000e-01, 7.142857e-02, 3.571429e-01
1149, 5.714286e-01, 7.142857e-02, 3.571429e-01
1150, 6.428571e-01, 7.142857e-02, 3.571429e-01
1151, 7.142857e-01, 7.142857e-02, 3.571429e-01
1152, 7.857143e-01, 7.142857e-02, 3.571429e-01
1153, 8.571429e-01, 7.142857e-02, 3.571429e-01
1154, 9.285714e-01, 7.142857e-02, 3.571429e-01
1155, 1.000000e+00, 7.142857e-02, 3.571429e-01
1156, 0.000000e+00, 1.428571e-01, 3.571429e-01
1157, 7.142857e-02, 1.428571e-01, 3.571429e-01
1158, 1.428571e-01, 1.428571e-01, 3.571429e-01
1159, 2.142857e-01, 1.428571e-01, 3.571429e-01
1160, 2.857143e-01, 1.428571e-01, 3.571429e-01
1161, 3.571429e-01, 1.428571e-01, 3.571429e-01
1162, 4.285714e-01, 1.428571e-01, 3.571429e-01
1163, 5.000000e-01, 1.428571e-01, 3.571429e-01
1164, 5.714286e-01, 1.428571e-01, 3.571429e-01
1165, 6.428571e-01, 1.428571e-01, 3.571429e-01
1166, 7.142857e-01, 1.428571e-01, 3.571429e-01
1167, 7.857143e-01, 1.428571e-01, 3.571429e-01
1168, 8.571429e-01, 1.428571e-01, 3.571429e-01
1169, 9.285714e-01, 1.428571e-01, 3.571429e-01
1170, 1.000000e+00, 1.428571e-01, 3.571429e-01
1171, 0.000000e+00, 2.142857e-01, 3.571429e-01
1172, 7.142857e-02, 2.142857e-01, 3.571429e-01
1173, 1.428571e-01, 2.142857e-01, 3.571429e-01
1174, 2.142857e-01, 2.142857e-01, 3.571429e-01
1175, 2.857143e-01, 2.142857e-01, 3.571429e-01
1176, 3.571429e-01, 2.142857e-01, 3.571429e-01
1177, 4.285714e-01, 2.142857e-01, 3.571429e-01
1178, 5.000000e-01, 2.142857e-01, 3.571429e-01
1179, 5.714286e-01, 2.142857e-01, 3.571429e-01
1180, 6.428571e-01, 2.142857e-01, 3.571429e-01
1181, 7.142857e-01, 2.142857e-01, 3.571429e-01
1182, 7.857143e-01, 2.142857e-01, 3.571429e-01
1183, 8.571429e-01, 2.142857e-01, 3.571429e-01
1184, 9.285714e-01, 2.142857e-01, 3.571429e-01
1185, 1.000000e+00, 2.142857e-01, 3.571429e-01
1186, 0.000000e+00, 2.857143e-01, 3.571429e-01
1187, 7.142857e-02, 2.857143e-01, 3.571429e-01
1188, 1.428571e-01, 2.857143e-01, 3.571429e-01
1189, 2.142857e-01, 2.857143e-01, 3.571429e-01
1190, 2.857143e-01, 2.857143e-01, 3.571429e-01
1191, 3.571429e-01, 2.857143e-01, 3.571429e-01
1192, 4.285714e-01, 2.857143e-01, 3.571429e-01
1193, 5.000000e-01, 2.857143e-01, 3.571429e-01
1194, 5.714286e-01, 2.857143e-01, 3.571429e-01
1195, 6.428571e-01, 2.857143e-01, 3.571429e-01
1196, 7.142857e-01, 2.857143e-01, 3.571429e-01
1197, 7.857143e-01, 2.857143e-01, 3.571429e-01
1198, 8.571429e-01, 2.857143e-01, 3.571429e-01
1199, 9.285714e-01, 2.857143e-01, 3.571429e-01
1200, 1.000000e+00, 2.857143e-01, 3.571429e-01
1201, 0.000000e+00, 3.571429e-01, 3.571429e-01
1202, 7.142857e-02, 3.571429e-01, 3.571429e-01
1203, 1.428571e-01, 3.571429e-01, 3.571429e-01
1204, 2.142857e-01, 3.571429e-01, 3.571429e-01
1205, 2.857143e-01, 3.571429e-01, 3.571429e-01
1206, 3.571429e-01, 3.571429e-01, 3.571429e-01
1207, 4.285714e-01, 3.571429e-01, 3.571429e-01
1208, 5.000000e-01, 3.571429e-01, 3.571429e-01
1209, 5.714286e-01, 3.571429e-01, 3.571429e-01
1210, 6.428571e-01, 3.571429e-01, 3.571429e-01
1211, 7.142857e-01, 3.571429e-01, 3.571429e-01
1212, 7.857143e-01, 3.571429e-01, 3.571429e-01
1213, 8.571429e-01, 3.571429e-01, 3.571429e-01
1214, 9.285714e-01, 3.571429e-01, 3.571429e-01
1215, 1.000000e+00, 3.571429e-01, 3.571429e-01
1216, 0.000000e+00, 4.285714e-01, 3.571429e-01
1217, 7.142857e-02, 4.285714e-01, 3.571429e-01
1218, 1.428571e-01, 4.285714e-01, 3.571429e-01
1219, 2.142857e-01, 4.285714e-01, 3.571429e-01
1220, 2.857143e-01, 4.285714e-01, 3.571429e-01
1221, 3.571429e-01, 4.285714e-01, 3.571429e-01
1222, 4.285714e-01, 4.285714e-01, 3.571429e-01
1223, 5.000000e-01, 4.285714e-01, 3.571429e-01
1224, 5.714286e-01, 4.285714e-01, 3.571429e-01
1225, 6.428571e-01, 4.285714e-01, 3.571429e-01
1226, 7.142857e-01, 4.285714e-01, 3.571429e-01
1227, 7.857143e-01, 4.285714e-01, 3.571429e-01
1228, 8.571429e-01, 4.285714e-01, 3.571429e-01
1229, 9.285714e-01, 4.285714e-01, 3.571429e-01
1230, 1.000000e+00, 4.285714e-01, 3.571429e-01
1231, 0.000000e+00, 5.000000e-01, 3.571429e-01
1232, 7.142857e-02, 5.000000e-01, 3.571429e-01
1233, 1.428571e-01, 5.000000e-01, 3.571429e-01
1234, 2.142857e-01, 5.000000e-01, 3.571429e-01
1235, 2.857143e-01, 5.000000e-01, 3.571429e-01
1236, 3.571429e-01, 5.000000e-01, 3.571429e-01
1237, 4.285714e-01, 5.000000e-01, 3.571429e-01
1238, 5.000000e-01, 5.000000e-01, 3.571429e-01
1239, 5.714286e-01, 5.000000e-01, 3.571429e-01
1240, 6.428571e-01, 5.000000e-01, 3.571429e-01
1241, 7.142857e-01, 5.000000e-01, 3.571429e-01
1242, 7.857143e-01, 5.000000e-01, 3.571429e-01
1243, 8.571429e-01, 5.000000e-01, 3.571429e-01
1244, 9.285714e-01, 5.000000e-01, 3.571429e-01
1245, 1.000000e+00, 5.000000e-01, 3.571429e-01
1246, 0.000000e+00, 5.714286e-01, 3.571429e-01
1247, 7.142857e-02, 5.714286e-01, 3.571429e-01
1248, 1.428571e-01, 5.714286e-01, 3.571429e-01
1249, 2.142857e-01, 5.714286e-01, 3.571429e-01
1250, 2.857143e-01, 5.714286e-01, 3.571429e-01
1251, 3.571429e-01, 5.714286e-01, 3.571429e-01
1252, 4.285714e-01, 5.714286e-01, 3.571429e-01
1253, 5.000000e-01, 5.714286e-01, 3.571429e-01
1254, 5.714286e-01, 5.714286e-01, 3.571429e-01
1255, 6.428571e-01, 5.714286e-01, 3.571429e-01
1256, 7.142857e-01, 5.714286e-01, 3.571429e-01
1257, 7.857143e-01, 5.714286e-01, 3.571429e-01
1258, 8.571429e-01, 5.714286e-01, 3.571429e-01
1259, 9.285714e-01, 5.714286e-01, 3.571429e-01
1260, 1.000000e+00, 5.714286e-01, 3.571429e-01
1261, 0.000000e+00, 6.428571e-01, 3.571429e-01
1262, 7.142857e-02, 6.428571e-01, 3.571429e-01
1263, 1.428571e-01, 6.428571e-01, 3.571429e-01
1264, 2.142857e-01, 6.428571e-01, 3.571429e-01
1265, 2.857143e-01, 6.428571e-01, 3.571429e-01
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1267, 4.285714e-01, 6.428571e-01, 3.571429e-01
1268, 5.000000e-01, 6.428571e-01, 3.571429e-01
1269, 5.714286e-01, 6.428571e-01, 3.571429e-01
1270, 6.428571e-01, 6.428571e-01, 3.571429e-01
1271, 7.142857e-01, 6.428571e-01, 3.571429e-01
1272, 7.857143e-01, 6.428571e-01, 3.571429e-01
1273, 8.571429e-01, 6.428571e-01, 3.571429e-01
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1276, 0.000000e+00, 7.142857e-01, 3.571429e-01
1277, 7.142857e-02, 7.142857e-01, 3.571429e-01
1278, 1.428571e-01, 7.142857e-01, 3.571429e-01
1279, 2.142857e-01, 7.142857e-01, 3.571429e-01
1280, 2.857143e-01, 7.142857e-01, 3.571429e-01
1281, 3.571429e-01, 7.142857e-01, 3.571429e-01
1282, 4.285714e-01, 7.142857e-01, 3.571429e-01
1283, 5.000000e-01, 7.142857e-01, 3.571429e-01
1284, 5.714286e-01, 7.142857e-01, 3.571429e-01
1285, 6.428571e-01, 7.142857e-01, 3.571429e-01
1286, 7.142857e-01, 7.142857e-01, 3.571429e-01
1287, 7.857143e-01, 7.142857e-01, 3.571429e-01
1288, 8.571429e-01, 7.142857e-01, 3.571429e-01
1289, 9.285714e-01, 7.142857e-01, 3.571429e-01
1290, 1.000000e+00, 7.142857e-01, 3.571429e-01
1291, 0.000000e+00, 7.857143e-01, 3.571429e-01
1292, 7.142857e-02, 7.857143e-01, 3.571429e-01
1293, 1.428571e-01, 7.857143e-01, 3.571429e-01
1294, 2.142857e-01, 7.857143e-01, 3.571429e-01
1295, 2.857143e-01, 7.857143e-01, 3.571429e-01
1296, 3.571429e-01, 7.857143e-01, 3.571429e-01
1297, 4.285714e-01, 7.857143e-01, 3.571429e-01
1298, 5.000000e-01, 7.857143e-01, 3.571429e-01
1299, 5.714286e-01, 7.857143e-01, 3.571429e-01
1300, 6.428571e-01, 7.857143e-01, 3.571429e-01
1301, 7.142857e-01, 7.857143e-01, 3.571429e-01
1302, 7.857143e-01, 7.857143e-01, 3.571429e-01
1303, 8.571429e-01, 7.857143e-01, 3.571429e-01
1304, 9.285714e-01, 7.857143e-01, 3.571429e-01
1305, 1.000000e+00, 7.857143e-01, 3.571429e-01
1306, 0.000000e+00, 8.571429e-01, 3.571429e-01
1307, 7.142857e-02, 8.571429e-01, 3.571429e-01
1308, 1.428571e-01, 8.571429e-01, 3.571429e-01
1309, 2.142857e-01, 8.571429e-01, 3.571429e-01
1310, 2.857143e-01, 8.571429e-01, 3.571429e-01
1311, 3.571429e-01, 8.571429e-01, 3.571429e-01
1312, 4.285714e-01, 8.571429e-01, 3.571429e-01
1313, 5.000000e-01, 8.571429e-01, 3.571429e-01
1314, 5.714286e-01, 8.571429e-01, 3.571429e-01
1315, 6.428571e-01, 8.571429e-01, 3.571429e-01
1316, 7.142857e-01, 8.571429e-01, 3.571429e-01
1317, 7.857143e-01, 8.571429e-01, 3.571429e-01
1318, 8.571429e-01, 8.571429e-01, 3.571429e-01
1319, 9.285714e-01, 8.571429e-01, 3.571429e-01
1320, 1.000000e+00, 8.571429e-01, 3.571429e-01
1321, 0.000000e+00, 9.285714e-01, 3.571429e-01
1322, 7.142857e-02, 9.285714e-01, 3.571429e-01
1323, 1.428571e-01, 9.285714e-01, 3.571429e-01
1324, 2.142857e-01, 9.285714e-01, 3.571429e-01
1325, 2.857143e-01, 9.285714e-01, 3.571429e-01
1326, 3.571429e-01, 9.285714e-01, 3.571429e-01
1327, 4.285714e-01, 9.285714e-01, 3.571429e-01
1328, 5.000000e-01, 9.285714e-01, 3.571429e-01
1329, 5.714286e-01, 9.285714e-01, 3.571429e-01
1330, 6.428571e-01, 9.285714e-01, 3.571429e-01
1331, 7.142857e-01, 9.285714e-01, 3.571429e-01
1332, 7.857143e-01, 9.285714e-01, 3.571429e-01
1333, 8.571429e-01, 9.285714e-01, 3.571429e-01
1334, 9.285714e-01, 9.285714e-01, 3.571429e-01
1335, 1.000000e+00, 9.285714e-01, 3.571429e-01
1336, 0.000000e+00, 1.000000e+00, 3.571429e-01
1337, 7.142857e-02, 1.000000e+00, 3.571429e-01
1338, 1.428571e-01, 1.000000e+00, 3.571429e-01
1339, 2.142857e-01, 1.000000e+00, 3.571429e-01
1340, 2.857143e-01, 1.000000e+00, 3.571429e-01
1341, 3.571429e-01, 1.000000e+00, 3.571429e-01
1342, 4.285714e-01, 1.000000e+00, 3.571429e-01
1343, 5.000000e-01, 1.000000e+00, 3.571429e-01
1344, 5.714286e-01, 1.000000e+00, 3.571429e-01
1345, 6.428571e-01, 1.000000e+00, 3.571429e-01
1346, 7.142857e-01, 1.000000e+00, 3.571429e-01
1347, 7.857143e-01, 1.000000e+00, 3.571429e-01
1348, 8.571429e-01, 1.000000e+00, 3.571429e-01
1349, 9.285714e-01, 1.000000e+00, 3.571429e-01
1350, 1.000000e+00, 1.000000e+00, 3.571429e-01
1351, 0.000000e+00, 0.000000e+00, 4.285714e-01
1352, 7.142857e-02, 0.000000e+00, 4.285714e-01
1353, 1.428571e-01, 0.000000e+00, 4.285714e-01
1354, 2.142857e-01, 0.000000e+00, 4.285714e-01
1355, 2.857143e-01, 0.000000e+00, 4.285714e-01
1356, 3.571429e-01, 0.000000e+00, 4.285714e-01
1357, 4.285714e-01, 0.000000e+00, 4.285714e-01
1358, 5.000000e-01, 0.000000e+00, 4.285714e-01
1359, 5.714286e-01, 0.000000e+00, 4.285714e-01
1360, 6.428571e-01, 0.000000e+00, 4.285714e-01
1361, 7.142857e-01, 0.000000e+00, 4.285714e-01
1362, 7.857143e-01, 0.000000e+00, 4.285714e-01
1363, 8.571429e-01, 0.000000e+00, 4.285714e-01
1364, 9.285714e-01, 0.000000e+00, 4.285714e-01
1365, 1.000000e+00, 0.000000e+00, 4.285714e-01
1366, 0.000000e+00, 7.142857e-02, 4.285714e-01
1367, 7.142857e-02, 7.142857e-02, 4.285714e-01
1368, 1.428571e-01, 7.142857e-02, 4.285714e-01
1369, 2.142857e-01, 7.142857e-02, 4.285714e-01
1370, 2.857143e-01, 7.142857e-02, 4.285714e-01
1371, 3.571429e-01, 7.142857e-02, 4.285714e-01
1372, 4.285714e-01, 7.142857e-02, 4.285714e-01
1373, 5.000000e-01, 7.142857e-02, 4.285714e-01
1374, 5.714286e-01, 7.142857e-02, 4.285714e-01
1375, 6.428571e-01, 7.142857e-02, 4.285714e-01
1376, 7.142857e-01, 7.142857e-02, 4.285714e-01
1377, 7.857143e-01, 7.142857e-02, 4.285714e-01
1378, 8.571429e-01, 7.142857e-02, 4.285714e-01
1379, 9.285714e-01, 7.142857e-02, 4.285714e-01
1380, 1.000000e+00, 7.142857e-02, 4.285714e-01
1381, 0.000000e+00, 1.428571e-01, 4.285714e-01
1382, 7.142857e-02, 1.428571e-01, 4.285714e-01
1383, 1.428571e-01, 1.428571e-01, 4.285714e-01
1384, 2.142857e-01, 1.428571e-01, 4.285714e-01
1385, 2.857143e-01, 1.428571e-01, 4.285714e-01
1386, 3.571429e-01, 1.428571e-01, 4.285714e-01
1387, 4.285714e-01, 1.428571e-01, 4.285714e-01
1388, 5.000000e-01, 1.428571e-01, 4.285714e-01
1389, 5.714286e-01, 1.428571e-01, 4.285714e-01
1390, 6.428571e-01, 1.428571e-01, 4.285714e-01
1391, 7.142857e-01, 1.428571e-01, 4.285714e-01
1392, 7.857143e-01, 1.428571e-01, 4.285714e-01
1393, 8.571429e-01, 1.428571e-01, 4.285714e-01
1394, 9.285714e-01, 1.428571e-01, 4.285714e-01
1395, 1.000000e+00, 1.428571e-01, 4.285714e-01
1396, 0.000000e+00, 2.142857e-01, 4.285714e-01
1397, 7.142857e-02, 2.142857e-01, 4.285714e-01
1398, 1.428571e-01, 2.142857e-01, 4.285714e-01
1399, 2.142857e-01, 2.142857e-01, 4.285714e-01
1400, 2.857143e-01, 2.142857e-01, 4.285714e-01
1401, 3.571429e-01, 2.142857e-01, 4.285714e-01
1402, 4.285714e-01, 2.142857e-01, 4.285714e-01
1403, 5.000000e-01, 2.142857e-01, 4.285714e-01
1404, 5.714286e-01, 2.142857e-01, 4.285714e-01
1405, 6.428571e-01, 2.142857e-01, 4.285714e-01
1406, 7.142857e-01, 2.142857e-01, 4.285714e-01
1407, 7.857143e-01, 2.142857e-01, 4.285714e-01
1408, 8.571429e-01, 2.142857e-01, 4.285714e-01
1409, 9.285714e-01, 2.142857e-01, 4.285714e-01
1410, 1.000000e+00, 2.142857e-01, 4.285714e-01
1411, 0.000000e+00, 2.857143e-01, 4.285714e-01
1412, 7.142857e-02, 2.857143e-01, 4.285714e-01
1413, 1.428571e-01, 2.857143e-01, 4.285714e-01
1414, 2.142857e-01, 2.857143e-01, 4.285714e-01
1415, 2.857143e-01, 2.857143e-01, 4.285714e-01
1416, 3.571429e-01, 2.857143e-01, 4.285714e-01
1417, 4.285714e-01, 2.857143e-01, 4.285714e-01
1418, 5.000000e-01, 2.857143e-01, 4.285714e-01
1419, 5.714286e-01, 2.857143e-01, 4.285714e-01
1420, 6.428571e-01, 2.857143e-01, 4.285714e-01
1421, 7.142857e-01, 2.857143e-01, 4.285714e-01
1422, 7.857143e-01, 2.857143e-01, 4.285714e-01
1423, 8.571429e-01, 2.857143e-01, 4.285714e-01
1424, 9.285714e-01, 2.857143e-01, 4.285714e-01
1425, 1.000000e+00, 2.857143e-01, 4.285714e-01
1426, 0.000000e+00, 3.571429e-01, 4.285714e-01
1427, 7.142857e-02, 3.571429e-01, 4.285714e-01
1428, 1.428571e-01, 3.571429e-01, 4.285714e-01
1429, 2.142857e-01, 3.571429e-01, 4.285714e-01
1430, 2.857143e-01, 3.571429e-01, 4.285714e-01
1431, 3.571429e-01, 3.571429e-01, 4.285714e-01
1432, 4.285714e-01, 3.571429e-01, 4.285714e-01
1433, 5.000000e-01, 3.571429e-01, 4.285714e-01
1434, 5.714286e-01, 3.571429e-01, 4.285714e-01
1435, 6.428571e-01, 3.571429e-01, 4.285714e-01
1436, 7.142857e-01, 3.571429e-01, 4.285714e-01
1437, 7.857143e-01, 3.571429e-01, 4.285714e-01
1438, 8.571429e-01, 3.571429e-01, 4.285714e-01
1439, 9.285714e-01, 3.571429e-01, 4.285714e-01
1440, 1.000000e+00, 3.571429e-01, 4.285714e-01
1441, 0.000000e+00, 4.285714e-01, 4.285714e-01
1442, 7.142857e-02, 4.285714e-01, 4.285714e-01
1443, 1.428571e-01, 4.285714e-01, 4.285714e-01
1444, 2.142857e-01, 4.285714e-01, 4.285714e-01
1445, 2.857143e-01, 4.285714e-01, 4.285714e-01
1446, 3.571429e-01, 4.285714e-01, 4.285714e-01
1447, 4.285714e-01, 4.285714e-01, 4.285714e-01
1448, 5.000000e-01, 4.285714e-01, 4.285714e-01
1449, 5.714286e-01, 4.285714e-01, 4.285714e-01
1450, 6.428571e-01, 4.285714e-01, 4.285714e-01
1451, 7.142857e-01, 4.285714e-01, 4.285714e-01
1452, 7.857143e-01, 4.285714e-01, 4.285714e-01
1453, 8.571429e-01, 4.285714e-01, 4.285714e-01
1454, 9.285714e-01, 4.285714e-01, 4.285714e-01
1455, 1.000000e+00, 4.285714e-01, 4.285714e-01
1456, 0.000000e+00, 5.000000e-01, 4.285714e-01
1457, 7.142857e-02, 5.000000e-01, 4.285714e-01
1458, 1.428571e-01, 5.000000e-01, 4.285714e-01
1459, 2.142857e-01, 5.000000e-01, 4.285714e-01
1460, 2.857143e-01, 5.000000e-01, 4.285714e-01
1461, 3.571429e-01, 5.000000e-01, 4.285714e-01
1462, 4.285714e-01, 5.000000e-01, 4.285714e-01
1463, 5.000000e-01, 5.000000e-01, 4.285714e-01
1464, 5.714286e-01, 5.000000e-01, 4.285714e-01
1465, 6.428571e-01, 5.000000e-01, 4.285714e-01
1466, 7.142857e-01, 5.000000e-01, 4.285714e-01
1467, 7.857143e-01, 5.000000e-01, 4.285714e-01
1468, 8.571429e-01, 5.000000e-01, 4.285714e-01
1469, 9.285714e-01, 5.000000e-01, 4.285714e-01
1470, 1.000000e+00, 5.000000e-01, 4.285714e-01
1471, 0.000000e+00, 5.714286e-01, 4.285714e-01
1472, 7.142857e-02, 5.714286e-01, 4.285714e-01
1473, 1.428571e-01, 5.714286e-01, 4.285714e-01
1474, 2.142857e-01, 5.714286e-01, 4.285714e-01
1475, 2.857143e-01, 5.714286e-01, 4.285714e-01
1476, 3.571429e-01, 5.714286e-01, 4.285714e-01
1477, 4.285714e-01, 5.714286e-01, 4.285714e-01
1478, 5.000000e-01, 5.714286e-01, 4.285714e-01
1479, 5.714286e-01, 5.714286e-01, 4.285714e-01
1480, 6.428571e-01, 5.714286e-01, 4.285714e-01
1481, 7.142857e-01, 5.714286e-01, 4.285714e-01
1482, 7.857143e-01, 5.714286e-01, 4.285714e-01
1483, 8.571429e-01, 5.714286e-01, 4.285714e-01
1484, 9.285714e-01, 5.714286e-01, 4.285714e-01
1485, 1.000000e+00, 5.714286e-01, 4.285714e-01
1486, 0.000000e+00, 6.428571e-01, 4.285714e-01
1487, 7.142857e-02, 6.428571e-01, 4.285714e-01
1488, 1.428571e-01, 6.428571e-01, 4.285714e-01
1489, 2.142857e-01, 6.428571e-01, 4.285714e-01
1490, 2.857143e-01, 6.428571e-01, 4.285714e-01
1491, 3.571429e-01, 6.428571e-01, 4.285714e-01
1492, 4.285714e-01, 6.428571e-01, 4.285714e-01
1493, 5.000000e-01, 6.428571e-01, 4.285714e-01
1494, 5.714286e-01, 6.428571e-01, 4.285714e-01
1495, 6.428571e-01, 6.428571e-01, 4.285714e-01
1496, 7.142857e-01, 6.428571e-01, 4.285714e-01
1497, 7.857143e-01, 6.428571e-01, 4.285714e-01
1498, 8.571429e-01, 6.428571e-01, 4.285714e-01
1499, 9.285714e-01, 6.428571e-01, 4.285714e-01
1500, 1.000000e+00, 6.428571e-01, 4.285714e-01
1501, 0.000000e+00, 7.142857e-01, 4.285714e-01
1502, 7.142857e-02, 7.142857e-01, 4.285714e-01
1503, 1.428571e-01, 7.142857e-01, 4.285714e-01
1504, 2.142857e-01, 7.142857e-01, 4.285714e-01
1505, 2.857143e-01, 7.142857e-01, 4.285714e-01
1506, 3.571429e-01, 7.142857e-01, 4.285714e-01
1507, 4.285714e-01, 7.142857e-01, 4.285714e-01
1508, 5.000000e-01, 7.142857e-01, 4.285714e-01
1509, 5.714286e-01, 7.142857e-01, 4.285714e-01
1510, 6.428571e-01, 7.142857e-01, 4.285714e-01
1511, 7.142857e-01, 7.142857e-01, 4.285714e-01
1512, 7.857143e-01, 7.142857e-01, 4.285714e-01
1513, 8.571429e-01, 7.142857e-01, 4.285714e-01
1514, 9.285714e-01, 7.142857e-01, 4.285714e-01
1515, 1.000000e+00, 7.142857e-01, 4.285714e-01
1516, 0.000000e+00, 7.857143e-01, 4.285714e-01
1517, 7.142857e-02, 7.857143e-01, 4.285714e-01
1518, 1.428571e-01, 7.857143e-01, 4.285714e-01
1519, 2.142857e-01, 7.857143e-01, 4.285714e-01
1520, 2.857143e-01, 7.857143e-01, 4.285714e-01
1521, 3.571429e-01, 7.857143e-01, 4.285714e-01
1522, 4.285714e-01, 7.857143e-01, 4.285714e-01
1523, 5.000000e-01, 7.857143e-01, 4.285714e-01
1524, 5.714286e-01, 7.857143e-01, 4.285714e-01
1525, 6.428571e-01, 7.857143e-01, 4.285714e-01
1526, 7.142857e-01, 7.857143e-01, 4.285714e-01
1527, 7.857143e-01, 7.857143e-01, 4.285714e-01
1528, 8.571429e-01, 7.857143e-01, 4.285714e-01
1529, 9.285714e-01, 7.857143e-01, 4.285714e-01
1530, 1.000000e+00, 7.857143e-01, 4.285714e-01
1531, 0.000000e+00, 8.571429e-01, 4.285714e-01
1532, 7.142857e-02, 8.571429e-01, 4.285714e-01
1533, 1.428571e-01, 8.571429e-01, 4.285714e-01
1534, 2.142857e-01, 8.571429e-01, 4.285714e-01
1535, 2.857143e-01, 8.571429e-01, 4.285714e-01
1536, 3.571429e-01, 8.571429e-01, 4.285714e-01
1537, 4.285714e-01, 8.571429e-01, 4.285714e-01
1538, 5.000000e-01, 8.571429e-01, 4.285714e-01
1539, 5.714286e-01, 8.571429e-01, 4.285714e-01
1540, 6.428571e-01, 8.571429e-01, 4.285714e-01
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1671, 3.571429e-01, 4.285714e-01, 5.000000e-01
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1704, 5.714286e-01, 5.714286e-01, 5.000000e-01
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1721, 7.142857e-01, 6.428571e-01, 5.000000e-01
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1727, 7.142857e-02, 7.142857e-01, 5.000000e-01
1728, 1.428571e-01, 7.142857e-01, 5.000000e-01
1729, 2.142857e-01, 7.142857e-01, 5.000000e-01
1730, 2.857143e-01, 7.142857e-01, 5.000000e-01
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1732, 4.285714e-01, 7.142857e-01, 5.000000e-01
1733, 5.000000e-01, 7.142857e-01, 5.000000e-01
1734, 5.714286e-01, 7.142857e-01, 5.000000e-01
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1736, 7.142857e-01, 7.142857e-01, 5.000000e-01
1737, 7.857143e-01, 7.142857e-01, 5.000000e-01
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1739, 9.285714e-01, 7.142857e-01, 5.000000e-01
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1749, 5.714286e-01, 7.857143e-01, 5.000000e-01
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1751, 7.142857e-01, 7.857143e-01, 5.000000e-01
1752, 7.857143e-01, 7.857143e-01, 5.000000e-01
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1764, 5.714286e-01, 8.571429e-01, 5.000000e-01
1765, 6.428571e-01, 8.571429e-01, 5.000000e-01
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1767, 7.857143e-01, 8.571429e-01, 5.000000e-01
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1798, 8.571429e-01, 1.000000e+00, 5.000000e-01
1799, 9.285714e-01, 1.000000e+00, 5.000000e-01
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1802, 7.142857e-02, 0.000000e+00, 5.714286e-01
1803, 1.428571e-01, 0.000000e+00, 5.714286e-01
1804, 2.142857e-01, 0.000000e+00, 5.714286e-01
1805, 2.857143e-01, 0.000000e+00, 5.714286e-01
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1807, 4.285714e-01, 0.000000e+00, 5.714286e-01
1808, 5.000000e-01, 0.000000e+00, 5.714286e-01
1809, 5.714286e-01, 0.000000e+00, 5.714286e-01
1810, 6.428571e-01, 0.000000e+00, 5.714286e-01
1811, 7.142857e-01, 0.000000e+00, 5.714286e-01
1812, 7.857143e-01, 0.000000e+00, 5.714286e-01
1813, 8.571429e-01, 0.000000e+00, 5.714286e-01
1814, 9.285714e-01, 0.000000e+00, 5.714286e-01
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1819, 2.142857e-01, 7.142857e-02, 5.714286e-01
1820, 2.857143e-01, 7.142857e-02, 5.714286e-01
1821, 3.571429e-01, 7.142857e-02, 5.714286e-01
1822, 4.285714e-01, 7.142857e-02, 5.714286e-01
1823, 5.000000e-01, 7.142857e-02, 5.714286e-01
1824, 5.714286e-01, 7.142857e-02, 5.714286e-01
1825, 6.428571e-01, 7.142857e-02, 5.714286e-01
1826, 7.142857e-01, 7.142857e-02, 5.714286e-01
1827, 7.857143e-01, 7.142857e-02, 5.714286e-01
1828, 8.571429e-01, 7.142857e-02, 5.714286e-01
1829, 9.285714e-01, 7.142857e-02, 5.714286e-01
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1831, 0.000000e+00, 1.428571e-01, 5.714286e-01
1832, 7.142857e-02, 1.428571e-01, 5.714286e-01
1833, 1.428571e-01, 1.428571e-01, 5.714286e-01
1834, 2.142857e-01, 1.428571e-01, 5.714286e-01
1835, 2.857143e-01, 1.428571e-01, 5.714286e-01
1836, 3.571429e-01, 1.428571e-01, 5.714286e-01
1837, 4.285714e-01, 1.428571e-01, 5.714286e-01
1838, 5.000000e-01, 1.428571e-01, 5.714286e-01
1839, 5.714286e-01, 1.428571e-01, 5.714286e-01
1840, 6.428571e-01, 1.428571e-01, 5.714286e-01
1841, 7.142857e-01, 1.428571e-01, 5.714286e-01
1842, 7.857143e-01, 1.428571e-01, 5.714286e-01
1843, 8.571429e-01, 1.428571e-01, 5.714286e-01
1844, 9.285714e-01, 1.428571e-01, 5.714286e-01
1845, 1.000000e+00, 1.428571e-01, 5.714286e-01
1846, 0.000000e+00, 2.142857e-01, 5.714286e-01
1847, 7.142857e-02, 2.142857e-01, 5.714286e-01
1848, 1.428571e-01, 2.142857e-01, 5.714286e-01
1849, 2.142857e-01, 2.142857e-01, 5.714286e-01
1850, 2.857143e-01, 2.142857e-01, 5.714286e-01
1851, 3.571429e-01, 2.142857e-01, 5.714286e-01
1852, 4.285714e-01, 2.142857e-01, 5.714286e-01
1853, 5.000000e-01, 2.142857e-01, 5.714286e-01
1854, 5.714286e-01, 2.142857e-01, 5.714286e-01
1855, 6.428571e-01, 2.142857e-01, 5.714286e-01
1856, 7.142857e-01, 2.142857e-01, 5.714286e-01
1857, 7.857143e-01, 2.142857e-01, 5.714286e-01
1858, 8.571429e-01, 2.142857e-01, 5.714286e-01
1859, 9.285714e-01, 2.142857e-01, 5.714286e-01
1860, 1.000000e+00, 2.142857e-01, 5.714286e-01
1861, 0.000000e+00, 2.857143e-01, 5.714286e-01
1862, 7.142857e-02, 2.857143e-01, 5.714286e-01
1863, 1.428571e-01, 2.857143e-01, 5.714286e-01
1864, 2.142857e-01, 2.857143e-01, 5.714286e-01
1865, 2.857143e-01, 2.857143e-01, 5.714286e-01
1866, 3.571429e-01, 2.857143e-01, 5.714286e-01
1867, 4.285714e-01, 2.857143e-01, 5.714286e-01
1868, 5.000000e-01, 2.857143e-01, 5.714286e-01
1869, 5.714286e-01, 2.857143e-01, 5.714286e-01
1870, 6.428571e-01, 2.857143e-01, 5.714286e-01
1871, 7.142857e-01, 2.857143e-01, 5.714286e-01
1872, 7.857143e-01, 2.857143e-01, 5.714286e-01
1873, 8.571429e-01, 2.857143e-01, 5.714286e-01
1874, 9.285714e-01, 2.857143e-01, 5.714286e-01
1875, 1.000000e+00, 2.857143e-01, 5.714286e-01
1876, 0.000000e+00, 3.571429e-01, 5.714286e-01
1877, 7.142857e-02, 3.571429e-01, 5.714286e-01
1878, 1.428571e-01, 3.571429e-01, 5.714286e-01
1879, 2.142857e-01, 3.571429e-01, 5.714286e-01
1880, 2.857143e-01, 3.571429e-01, 5.714286e-01
1881, 3.571429e-01, 3.571429e-01, 5.714286e-01
1882, 4.285714e-01, 3.571429e-01, 5.714286e-01
1883, 5.000000e-01, 3.571429e-01, 5.714286e-01
1884, 5.714286e-01, 3.571429e-01, 5.714286e-01
1885, 6.428571e-01, 3.571429e-01, 5.714286e-01
1886, 7.142857e-01, 3.571429e-01, 5.714286e-01
1887, 7.857143e-01, 3.571429e-01, 5.714286e-01
1888, 8.571429e-01, 3.571429e-01, 5.714286e-01
1889, 9.285714e-01, 3.571429e-01, 5.714286e-01
1890, 1.000000e+00, 3.571429e-01, 5.714286e-01
1891, 0.000000e+00, 4.285714e-01, 5.714286e-01
1892, 7.142857e-02, 4.285714e-01, 5.714286e-01
1893, 1.428571e-01, 4.285714e-01, 5.714286e-01
1894, 2.142857e-01, 4.285714e-01, 5.714286e-01
1895, 2.857143e-01, 4.285714e-01, 5.714286e-01
1896, 3.571429e-01, 4.285714e-01, 5.714286e-01
1897, 4.285714e-01, 4.285714e-01, 5.714286e-01
1898, 5.000000e-01, 4.285714e-01, 5.714286e-01
1899, 5.714286e-01, 4.285714e-01, 5.714286e-01
1900, 6.428571e-01, 4.285714e-01, 5.714286e-01
1901, 7.142857e-01, 4.285714e-01, 5.714286e-01
1902, 7.857143e-01, 4.285714e-01, 5.714286e-01
1903, 8.571429e-01, 4.285714e-01, 5.714286e-01
1904, 9.285714e-01, 4.285714e-01, 5.714286e-01
1905, 1.000000e+00, 4.285714e-01, 5.714286e-01
1906, 0.000000e+00, 5.000000e-01, 5.714286e-01
1907, 7.142857e-02, 5.000000e-01, 5.714286e-01
1908, 1.428571e-01, 5.000000e-01, 5.714286e-01
1909, 2.142857e-01, 5.000000e-01, 5.714286e-01
1910, 2.857143e-01, 5.000000e-01, 5.714286e-01
1911, 3.571429e-01, 5.000000e-01, 5.714286e-01
1912, 4.285714e-01, 5.000000e-01, 5.714286e-01
1913, 5.000000e-01, 5.000000e-01, 5.714286e-01
1914, 5.714286e-01, 5.000000e-01, 5.714286e-01
1915, 6.428571e-01, 5.000000e-01, 5.714286e-01
1916, 7.142857e-01, 5.000000e-01, 5.714286e-01
1917, 7.857143e-01, 5.000000e-01, 5.714286e-01
1918, 8.571429e-01, 5.000000e-01, 5.714286e-01
1919, 9.285714e-01, 5.000000e-01, 5.714286e-01
1920, 1.000000e+00, 5.000000e-01, 5.714286e-01
1921, 0.000000e+00, 5.714286e-01, 5.714286e-01
1922, 7.142857e-02, 5.714286e-01, 5.714286e-01
1923, 1.428571e-01, 5.714286e-01, 5.714286e-01
1924, 2.142857e-01, 5.714286e-01, 5.714286e-01
1925, 2.857143e-01, 5.714286e-01, 5.714286e-01
1926, 3.571429e-01, 5.714286e-01, 5.714286e-01
1927, 4.285714e-01, 5.714286e-01, 5.714286e-01
1928, 5.000000e-01, 5.714286e-01, 5.714286e-01
1929, 5.714286e-01, 5.714286e-01, 5.714286e-01
1930, 6.428571e-01, 5.714286e-01, 5.714286e-01
1931, 7.142857e-01, 5.714286e-01, 5.714286e-01
1932, 7.857143e-01, 5.714286e-01, 5.714286e-01
1933, 8.571429e-01, 5.714286e-01, 5.714286e-01
1934, 9.285714e-01, 5.714286e-01, 5.714286e-01
1935, 1.000000e+00, 5.714286e-01, 5.714286e-01
1936, 0.000000e+00, 6.428571e-01, 5.714286e-01
1937, 7.142857e-02, 6.428571e-01, 5.714286e-01
1938, 1.428571e-01, 6.428571e-01, 5.714286e-01
1939, 2.142857e-01, 6.428571e-01, 5.714286e-01
1940, 2.857143e-01, 6.428571e-01, 5.714286e-01
1941, 3.571429e-01, 6.428571e-01, 5.714286e-01
1942, 4.285714e-01, 6.428571e-01, 5.714286e-01
1943, 5.000000e-01, 6.428571e-01, 5.714286e-01
1944, 5.714286e-01, 6.428571e-01, 5.714286e-01
1945, 6.428571e-01, 6.428571e-01, 5.714286e-01
1946, 7.142857e-01, 6.428571e-01, 5.714286e-01
1947, 7.857143e-01, 6.428571e-01, 5.714286e-01
1948, 8.571429e-01, 6.428571e-01, 5.714286e-01
1949, 9.285714e-01, 6.428571e-01, 5.714286e-01
1950, 1.000000e+00, 6.428571e-01, 5.714286e-01
1951, 0.000000e+00, 7.142857e-01, 5.714286e-01
1952, 7.142857e-02, 7.142857e-01, 5.714286e-01
1953, 1.428571e-01, 7.142857e-01, 5.714286e-01
1954, 2.142857e-01, 7.142857e-01, 5.714286e-01
1955, 2.857143e-01, 7.142857e-01, 5.714286e-01
1956, 3.571429e-01, 7.142857e-01, 5.714286e-01
1957, 4.285714e-01, 7.142857e-01, 5.714286e-01
1958, 5.000000e-01, 7.142857e-01, 5.714286e-01
1959, 5.714286e-01, 7.142857e-01, 5.714286e-01
1960, 6.428571e-01, 7.142857e-01, 5.714286e-01
1961, 7.142857e-01, 7.142857e-01, 5.714286e-01
1962, 7.857143e-01, 7.142857e-01, 5.714286e-01
1963, 8.571429e-01, 7.142857e-01, 5.714286e-01
1964, 9.285714e-01, 7.142857e-01, 5.714286e-01
1965, 1.000000e+00, 7.142857e-01, 5.714286e-01
1966, 0.000000e+00, 7.857143e-01, 5.714286e-01
1967, 7.142857e-02, 7.857143e-01, 5.714286e-01
1968, 1.428571e-01, 7.857143e-01, 5.714286e-01
1969, 2.142857e-01, 7.857143e-01, 5.714286e-01
1970, 2.857143e-01, 7.857143e-01, 5.714286e-01
1971, 3.571429e-01, 7.857143e-01, 5.714286e-01
1972, 4.285714e-01, 7.857143e-01, 5.714286e-01
1973, 5.000000e-01, 7.857143e-01, 5.714286e-01
1974, 5.714286e-01, 7.857143e-01, 5.714286e-01
1975, 6.428571e-01, 7.857143e-01, 5.714286e-01
1976, 7.142857e-01, 7.857143e-01, 5.714286e-01
1977, 7.857143e-01, 7.857143e-01, 5.714286e-01
1978, 8.571429e-01, 7.857143e-01, 5.714286e-01
1979, 9.285714e-01, 7.857143e-01, 5.714286e-01
1980, 1.000000e+00, 7.857143e-01, 5.714286e-01
1981, 0.000000e+00, 8.571429e-01, 5.714286e-01
1982, 7.142857e-02, 8.571429e-01, 5.714286e-01
1983, 1.428571e-01, 8.571429e-01, 5.714286e-01
1984, 2.142857e-01, 8.571429e-01, 5.714286e-01
1985, 2.857143e-01, 8.571429e-01, 5.714286e-01
1986, 3.571429e-01, 8.571429e-01, 5.714286e-01
1987, 4.285714e-01, 8.571429e-01, 5.714286e-01
1988, 5.000000e-01, 8.571429e-01, 5.714286e-01
1989, 5.714286e-01, 8.571429e-01, 5.714286e-01
1990, 6.428571e-01, 8.571429e-01, 5.714286e-01
1991, 7.142857e-01, 8.571429e-01, 5.714286e-01
1992, 7.857143e-01, 8.571429e-01, 5.714286e-01
1993, 8.571429e-01, 8.571429e-01, 5.714286e-01
1994, 9.285714e-01, 8.571429e-01, 5.714286e-01
1995, 1.000000e+00, 8.571429e-01, 5.714286e-01
1996, 0.000000e+00, 9.285714e-01, 5.714286e-01
1997, 7.142857e-02, 9.285714e-01, 5.714286e-01
1998, 1.428571e-01, 9.285714e-01, 5.714286e-01
1999, 2.142857e-01, 9.285714e-01, 5.714286e-01
2000, 2.857143e-01, 9.285714e-01, 5.714286e-01
2001, 3.571429e-01, 9.285714e-01, 5.714286e-01
2002, 4.285714e-01, 9.285714e-01, 5.714286e-01
2003, 5.000000e-01, 9.285714e-01, 5.714286e-01
2004, 5.714286e-01, 9.285714e-01, 5.714286e-01
2005, 6.428571e-01, 9.285714e-01, 5.714286e-01
2006, 7.142857e-01, 9.285714e-01, 5.714286e-01
2007, 7.857143e-01, 9.285714e-01, 5.714286e-01
2008, 8.571429e-01, 9.285714e-01, 5.714286e-01
2009, 9.285714e-01, 9.285714e-01, 5.714286e-01
2010, 1.000000e+00, 9.285714e-01, 5.714286e-01
2011, 0.000000e+00, 1.000000e+00, 5.714286e-01
2012, 7.142857e-02, 1.000000e+00, 5.714286e-01
2013, 1.428571e-01, 1.000000e+00, 5.714286e-01
2014, 2.142857e-01, 1.000000e+00, 5.714286e-01
2015, 2.857143e-01, 1.000000e+00, 5.714286e-01
2016, 3.571429e-01, 1.000000e+00, 5.714286e-01
2017, 4.285714e-01, 1.000000e+00, 5.714286e-01
2018, 5.000000e-01, 1.000000e+00, 5.714286e-01
2019, 5.714286e-01, 1.000000e+00, 5.714286e-01
2020, 6.428571e-01, 1.000000e+00, 5.714286e-01
2021, 7.142857e-01, 1.000000e+00, 5.714286e-01
2022, 7.857143e-01, 1.000000e+00, 5.714286e-01
2023, 8.571429e-01, 1.000000e+00, 5.714286e-01
2024, 9.285714e-01, 1.000000e+00, 5.714286e-01
2025, 1.000000e+00, 1.000000e+00, 5.714286e-01
2026, 0.000000e+00, 0.000000e+00, 6.428571e-01
2027, 7.142857e-02, 0.000000e+00, 6.428571e-01
2028, 1.428571e-01, 0.000000e+00, 6.428571e-01
2029, 2.142857e-01, 0.000000e+00, 6.428571e-01
2030, 2.857143e-01, 0.000000e+00, 6.428571e-01
2031, 3.571429e-01, 0.000000e+00, 6.428571e-01
2032, 4.285714e-01, 0.000000e+00, 6.428571e-01
2033, 5.000000e-01, 0.000000e+00, 6.428571e-01
2034, 5.714286e-01, 0.000000e+00, 6.428571e-01
2035, 6.428571e-01, 0.000000e+00, 6.428571e-01
2036, 7.142857e-01, 0.000000e+00, 6.428571e-01
2037, 7.857143e-01, 0.000000e+00, 6.428571e-01
2038, 8.571429e-01, 0.000000e+00, 6.428571e-01
2039, 9.285714e-01, 0.000000e+00, 6.428571e-01
2040, 1.000000e+00, 0.000000e+00, 6.428571e-01
2041, 0.000000e+00, 7.142857e-02, 6.428571e-01
2042, 7.142857e-02, 7.142857e-02, 6.428571e-01
2043, 1.428571e-01, 7.142857e-02, 6.428571e-01
2044, 2.142857e-01, 7.142857e-02, 6.428571e-01
2045, 2.857143e-01, 7.142857e-02, 6.428571e-01
2046, 3.571429e-01, 7.142857e-02, 6.428571e-01
2047, 4.285714e-01, 7.142857e-02, 6.428571e-01
2048, 5.000000e-01, 7.142857e-02, 6.428571e-01
2049, 5.714286e-01, 7.142857e-02, 6.428571e-01
2050, 6.428571e-01, 7.142857e-02, 6.428571e-01
2051, 7.142857e-01, 7.142857e-02, 6.428571e-01
2052, 7.857143e-01, 7.142857e-02, 6.428571e-01
2053, 8.571429e-01, 7.142857e-02, 6.428571e-01
2054, 9.285714e-01, 7.142857e-02, 6.428571e-01
2055, 1.000000e+00, 7.142857e-02, 6.428571e-01
2056, 0.000000e+00, 1.428571e-01, 6.428571e-01
2057, 7.142857e-02, 1.428571e-01, 6.428571e-01
2058, 1.428571e-01, 1.428571e-01, 6.428571e-01
2059, 2.142857e-01, 1.428571e-01, 6.428571e-01
2060, 2.857143e-01, 1.428571e-01, 6.428571e-01
2061, 3.571429e-01, 1.428571e-01, 6.428571e-01
2062, 4.285714e-01, 1.428571e-01, 6.428571e-01
2063, 5.000000e-01, 1.428571e-01, 6.428571e-01
2064, 5.714286e-01, 1.428571e-01, 6.428571e-01
2065, 6.428571e-01, 1.428571e-01, 6.428571e-01
2066, 7.142857e-01, 1.428571e-01, 6.428571e-01
2067, 7.857143e-01, 1.428571e-01, 6.428571e-01
2068, 8.571429e-01, 1.428571e-01, 6.428571e-01
2069, 9.285714e-01, 1.428571e-01, 6.428571e-01
2070, 1.000000e+00, 1.428571e-01, 6.428571e-01
2071, 0.000000e+00, 2.142857e-01, 6.428571e-01
2072, 7.142857e-02, 2.142857e-01, 6.428571e-01
2073, 1.428571e-01, 2.142857e-01, 6.428571e-01
2074, 2.142857e-01, 2.142857e-01, 6.428571e-01
2075, 2.857143e-01, 2.142857e-01, 6.428571e-01
2076, 3.571429e-01, 2.142857e-01, 6.428571e-01
2077, 4.285714e-01, 2.142857e-01, 6.428571e-01
2078, 5.000000e-01, 2.142857e-01, 6.428571e-01
2079, 5.714286e-01, 2.142857e-01, 6.428571e-01
2080, 6.428571e-01, 2.142857e-01, 6.428571e-01
2081, 7.142857e-01, 2.142857e-01, 6.428571e-01
2082, 7.857143e-01, 2.142857e-01, 6.428571e-01
2083, 8.571429e-01, 2.142857e-01, 6.428571e-01
2084, 9.285714e-01, 2.142857e-01, 6.428571e-01
2085, 1.000000e+00, 2.142857e-01, 6.428571e-01
2086, 0.000000e+00, 2.857143e-01, 6.428571e-01
2087, 7.142857e-02, 2.857143e-01, 6.428571e-01
2088, 1.428571e-01, 2.857143e-01, 6.428571e-01
2089, 2.142857e-01, 2.857143e-01, 6.428571e-01
2090, 2.857143e-01, 2.857143e-01, 6.428571e-01
2091, 3.571429e-01, 2.857143e-01, 6.428571e-01
2092, 4.285714e-01, 2.857143e-01, 6.428571e-01
2093, 5.000000e-01, 2.857143e-01, 6.428571e-01
2094, 5.714286e-01, 2.857143e-01, 6.428571e-01
2095, 6.428571e-01, 2.857143e-01, 6.428571e-01
2096, 7.142857e-01, 2.857143e-01, 6.428571e-01
2097, 7.857143e-01, 2.857143e-01, 6.428571e-01
2098, 8.571429e-01, 2.857143e-01, 6.428571e-01
2099, 9.285714e-01, 2.857143e-01, 6.428571e-01
2100, 1.000000e+00, 2.857143e-01, 6.428571e-01
2101, 0.000000e+00, 3.571429e-01, 6.428571e-01
2102, 7.142857e-02, 3.571429e-01, 6.428571e-01
2103, 1.428571e-01, 3.571429e-01, 6.428571e-01
2104, 2.142857e-01, 3.571429e-01, 6.428571e-01
2105, 2.857143e-01, 3.571429e-01, 6.428571e-01
2106, 3.571429e-01, 3.571429e-01, 6.428571e-01
2107, 4.285714e-01, 3.571429e-01, 6.428571e-01
2108, 5.000000e-01, 3.571429e-01, 6.428571e-01
2109, 5.714286e-01, 3.571429e-01, 6.428571e-01
2110, 6.428571e-01, 3.571429e-01, 6.428571e-01
2111, 7.142857e-01, 3.571429e-01, 6.428571e-01
2112, 7.857143e-01, 3.571429e-01, 6.428571e-01
2113, 8.571429e-01, 3.571429e-01, 6.428571e-01
2114, 9.285714e-01, 3.571429e-01, 6.428571e-01
2115, 1.000000e+00, 3.571429e-01, 6.428571e-01
2116, 0.000000e+00, 4.285714e-01, 6.428571e-01
2117, 7.142857e-02, 4.285714e-01, 6.428571e-01
2118, 1.428571e-01, 4.285714e-01, 6.428571e-01
2119, 2.142857e-01, 4.285714e-01, 6.428571e-01
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2121, 3.571429e-01, 4.285714e-01, 6.428571e-01
2122, 4.285714e-01, 4.285714e-01, 6.428571e-01
2123, 5.000000e-01, 4.285714e-01, 6.428571e-01
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2126, 7.142857e-01, 4.285714e-01, 6.428571e-01
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2128, 8.571429e-01, 4.285714e-01, 6.428571e-01
2129, 9.285714e-01, 4.285714e-01, 6.428571e-01
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2137, 4.285714e-01, 5.000000e-01, 6.428571e-01
2138, 5.000000e-01, 5.000000e-01, 6.428571e-01
2139, 5.714286e-01, 5.000000e-01, 6.428571e-01
2140, 6.428571e-01, 5.000000e-01, 6.428571e-01
2141, 7.142857e-01, 5.000000e-01, 6.428571e-01
2142, 7.857143e-01, 5.000000e-01, 6.428571e-01
2143, 8.571429e-01, 5.000000e-01, 6.428571e-01
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2158, 8.571429e-01, 5.714286e-01, 6.428571e-01
2159, 9.285714e-01, 5.714286e-01, 6.428571e-01
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2161, 0.000000e+00, 6.428571e-01, 6.428571e-01
2162, 7.142857e-02, 6.428571e-01, 6.428571e-01
2163, 1.428571e-01, 6.428571e-01, 6.428571e-01
2164, 2.142857e-01, 6.428571e-01, 6.428571e-01
2165, 2.857143e-01, 6.428571e-01, 6.428571e-01
2166, 3.571429e-01, 6.428571e-01, 6.428571e-01
2167, 4.285714e-01, 6.428571e-01, 6.428571e-01
2168, 5.000000e-01, 6.428571e-01, 6.428571e-01
2169, 5.714286e-01, 6.428571e-01, 6.428571e-01
2170, 6.428571e-01, 6.428571e-01, 6.428571e-01
2171, 7.142857e-01, 6.428571e-01, 6.428571e-01
2172, 7.857143e-01, 6.428571e-01, 6.428571e-01
2173, 8.571429e-01, 6.428571e-01, 6.428571e-01
2174, 9.285714e-01, 6.428571e-01, 6.428571e-01
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2177, 7.142857e-02, 7.142857e-01, 6.428571e-01
2178, 1.428571e-01, 7.142857e-01, 6.428571e-01
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2180, 2.857143e-01, 7.142857e-01, 6.428571e-01
2181, 3.571429e-01, 7.142857e-01, 6.428571e-01
2182, 4.285714e-01, 7.142857e-01, 6.428571e-01
2183, 5.000000e-01, 7.142857e-01, 6.428571e-01
2184, 5.714286e-01, 7.142857e-01, 6.428571e-01
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2186, 7.142857e-01, 7.142857e-01, 6.428571e-01
2187, 7.857143e-01, 7.142857e-01, 6.428571e-01
2188, 8.571429e-01, 7.142857e-01, 6.428571e-01
2189, 9.285714e-01, 7.142857e-01, 6.428571e-01
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2195, 2.857143e-01, 7.857143e-01, 6.428571e-01
2196, 3.571429e-01, 7.857143e-01, 6.428571e-01
2197, 4.285714e-01, 7.857143e-01, 6.428571e-01
2198, 5.000000e-01, 7.857143e-01, 6.428571e-01
2199, 5.714286e-01, 7.857143e-01, 6.428571e-01
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2201, 7.142857e-01, 7.857143e-01, 6.428571e-01
2202, 7.857143e-01, 7.857143e-01, 6.428571e-01
2203, 8.571429e-01, 7.857143e-01, 6.428571e-01
2204, 9.285714e-01, 7.857143e-01, 6.428571e-01
2205, 1.000000e+00, 7.857143e-01, 6.428571e-01
2206, 0.000000e+00, 8.571429e-01, 6.428571e-01
2207, 7.142857e-02, 8.571429e-01, 6.428571e-01
2208, 1.428571e-01, 8.571429e-01, 6.428571e-01
2209, 2.142857e-01, 8.571429e-01, 6.428571e-01
2210, 2.857143e-01, 8.571429e-01, 6.428571e-01
2211, 3.571429e-01, 8.571429e-01, 6.428571e-01
2212, 4.285714e-01, 8.571429e-01, 6.428571e-01
2213, 5.000000e-01, 8.571429e-01, 6.428571e-01
2214, 5.714286e-01, 8.571429e-01, 6.428571e-01
2215, 6.428571e-01, 8.571429e-01, 6.428571e-01
2216, 7.142857e-01, 8.571429e-01, 6.428571e-01
2217, 7.857143e-01, 8.571429e-01, 6.428571e-01
2218, 8.571429e-01, 8.571429e-01, 6.428571e-01
2219, 9.285714e-01, 8.571429e-01, 6.428571e-01
2220, 1.000000e+00, 8.571429e-01, 6.428571e-01
2221, 0.000000e+00, 9.285714e-01, 6.428571e-01
2222, 7.142857e-02, 9.285714e-01, 6.428571e-01
2223, 1.428571e-01, 9.285714e-01, 6.428571e-01
2224, 2.142857e-01, 9.285714e-01, 6.428571e-01
2225, 2.857143e-01, 9.285714e-01, 6.428571e-01
2226, 3.571429e-01, 9.285714e-01, 6.428571e-01
2227, 4.285714e-01, 9.285714e-01, 6.428571e-01
2228, 5.000000e-01, 9.285714e-01, 6.428571e-01
2229, 5.714286e-01, 9.285714e-01, 6.428571e-01
2230, 6.428571e-01, 9.285714e-01, 6.428571e-01
2231, 7.142857e-01, 9.285714e-01, 6.428571e-01
2232, 7.857143e-01, 9.285714e-01, 6.428571e-01
2233, 8.571429e-01, 9.285714e-01, 6.428571e-01
2234, 9.285714e-01, 9.285714e-01, 6.428571e-01
2235, 1.000000e+00, 9.285714e-01, 6.428571e-01
2236, 0.000000e+00, 1.000000e+00, 6.428571e-01
2237, 7.142857e-02, 1.000000e+00, 6.428571e-01
2238, 1.428571e-01, 1.000000e+00, 6.428571e-01
2239, 2.142857e-01, 1.000000e+00, 6.428571e-01
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2241, 3.571429e-01, 1.000000e+00, 6.428571e-01
2242, 4.285714e-01, 1.000000e+00, 6.428571e-01
2243, 5.000000e-01, 1.000000e+00, 6.428571e-01
2244, 5.714286e-01, 1.000000e+00, 6.428571e-01
2245, 6.428571e-01, 1.000000e+00, 6.428571e-01
2246, 7.142857e-01, 1.000000e+00, 6.428571e-01
2247, 7.857143e-01, 1.000000e+00, 6.428571e-01
2248, 8.571429e-01, 1.000000e+00, 6.428571e-01
2249, 9.285714e-01, 1.000000e+00, 6.428571e-01
2250, 1.000000e+00, 1.000000e+00, 6.428571e-01
2251, 0.000000e+00, 0.000000e+00, 7.142857e-01
2252, 7.142857e-02, 0.000000e+00, 7.142857e-01
2253, 1.428571e-01, 0.000000e+00, 7.142857e-01
2254, 2.142857e-01, 0.000000e+00, 7.142857e-01
2255, 2.857143e-01, 0.000000e+00, 7.142857e-01
2256, 3.571429e-01, 0.000000e+00, 7.142857e-01
2257, 4.285714e-01, 0.000000e+00, 7.142857e-01
2258, 5.000000e-01, 0.000000e+00, 7.142857e-01
2259, 5.714286e-01, 0.000000e+00, 7.142857e-01
2260, 6.428571e-01, 0.000000e+00, 7.142857e-01
2261, 7.142857e-01, 0.000000e+00, 7.142857e-01
2262, 7.857143e-01, 0.000000e+00, 7.142857e-01
2263, 8.571429e-01, 0.000000e+00, 7.142857e-01
2264, 9.285714e-01, 0.000000e+00, 7.142857e-01
2265, 1.000000e+00, 0.000000e+00, 7.142857e-01
2266, 0.000000e+00, 7.142857e-02, 7.142857e-01
2267, 7.142857e-02, 7.142857e-02, 7.142857e-01
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2269, 2.142857e-01, 7.142857e-02, 7.142857e-01
2270, 2.857143e-01, 7.142857e-02, 7.142857e-01
2271, 3.571429e-01, 7.142857e-02, 7.142857e-01
2272, 4.285714e-01, 7.142857e-02, 7.142857e-01
2273, 5.000000e-01, 7.142857e-02, 7.142857e-01
2274, 5.714286e-01, 7.142857e-02, 7.142857e-01
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2276, 7.142857e-01, 7.142857e-02, 7.142857e-01
2277, 7.857143e-01, 7.142857e-02, 7.142857e-01
2278, 8.571429e-01, 7.142857e-02, 7.142857e-01
2279, 9.285714e-01, 7.142857e-02, 7.142857e-01
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2283, 1.428571e-01, 1.428571e-01, 7.142857e-01
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2286, 3.571429e-01, 1.428571e-01, 7.142857e-01
2287, 4.285714e-01, 1.428571e-01, 7.142857e-01
2288, 5.000000e-01, 1.428571e-01, 7.142857e-01
2289, 5.714286e-01, 1.428571e-01, 7.142857e-01
2290, 6.428571e-01, 1.428571e-01, 7.142857e-01
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2298, 1.428571e-01, 2.142857e-01, 7.142857e-01
2299, 2.142857e-01, 2.142857e-01, 7.142857e-01
2300, 2.857143e-01, 2.142857e-01, 7.142857e-01
2301, 3.571429e-01, 2.142857e-01, 7.142857e-01
2302, 4.285714e-01, 2.142857e-01, 7.142857e-01
2303, 5.000000e-01, 2.142857e-01, 7.142857e-01
2304, 5.714286e-01, 2.142857e-01, 7.142857e-01
2305, 6.428571e-01, 2.142857e-01, 7.142857e-01
2306, 7.142857e-01, 2.142857e-01, 7.142857e-01
2307, 7.857143e-01, 2.142857e-01, 7.142857e-01
2308, 8.571429e-01, 2.142857e-01, 7.142857e-01
2309, 9.285714e-01, 2.142857e-01, 7.142857e-01
2310, 1.000000e+00, 2.142857e-01, 7.142857e-01
2311, 0.000000e+00, 2.857143e-01, 7.142857e-01
2312, 7.142857e-02, 2.857143e-01, 7.142857e-01
2313, 1.428571e-01, 2.857143e-01, 7.142857e-01
2314, 2.142857e-01, 2.857143e-01, 7.142857e-01
2315, 2.857143e-01, 2.857143e-01, 7.142857e-01
2316, 3.571429e-01, 2.857143e-01, 7.142857e-01
2317, 4.285714e-01, 2.857143e-01, 7.142857e-01
2318, 5.000000e-01, 2.857143e-01, 7.142857e-01
2319, 5.714286e-01, 2.857143e-01, 7.142857e-01
2320, 6.428571e-01, 2.857143e-01, 7.142857e-01
2321, 7.142857e-01, 2.857143e-01, 7.142857e-01
2322, 7.857143e-01, 2.857143e-01, 7.142857e-01
2323, 8.571429e-01, 2.857143e-01, 7.142857e-01
2324, 9.285714e-01, 2.857143e-01, 7.142857e-01
2325, 1.000000e+00, 2.857143e-01, 7.142857e-01
2326, 0.000000e+00, 3.571429e-01, 7.142857e-01
2327, 7.142857e-02, 3.571429e-01, 7.142857e-01
2328, 1.428571e-01, 3.571429e-01, 7.142857e-01
2329, 2.142857e-01, 3.571429e-01, 7.142857e-01
2330, 2.857143e-01, 3.571429e-01, 7.142857e-01
2331, 3.571429e-01, 3.571429e-01, 7.142857e-01
2332, 4.285714e-01, 3.571429e-01, 7.142857e-01
2333, 5.000000e-01, 3.571429e-01, 7.142857e-01
2334, 5.714286e-01, 3.571429e-01, 7.142857e-01
2335, 6.428571e-01, 3.571429e-01, 7.142857e-01
2336, 7.142857e-01, 3.571429e-01, 7.142857e-01
2337, 7.857143e-01, 3.571429e-01, 7.142857e-01
2338, 8.571429e-01, 3.571429e-01, 7.142857e-01
2339, 9.285714e-01, 3.571429e-01, 7.142857e-01
2340, 1.000000e+00, 3.571429e-01, 7.142857e-01
2341, 0.000000e+00, 4.285714e-01, 7.142857e-01
2342, 7.142857e-02, 4.285714e-01, 7.142857e-01
2343, 1.428571e-01, 4.285714e-01, 7.142857e-01
2344, 2.142857e-01, 4.285714e-01, 7.142857e-01
2345, 2.857143e-01, 4.285714e-01, 7.142857e-01
2346, 3.571429e-01, 4.285714e-01, 7.142857e-01
2347, 4.285714e-01, 4.285714e-01, 7.142857e-01
2348, 5.000000e-01, 4.285714e-01, 7.142857e-01
2349, 5.714286e-01, 4.285714e-01, 7.142857e-01
2350, 6.428571e-01, 4.285714e-01, 7.142857e-01
2351, 7.142857e-01, 4.285714e-01, 7.142857e-01
2352, 7.857143e-01, 4.285714e-01, 7.142857e-01
2353, 8.571429e-01, 4.285714e-01, 7.142857e-01
2354, 9.285714e-01, 4.285714e-01, 7.142857e-01
2355, 1.000000e+00, 4.285714e-01, 7.142857e-01
2356, 0.000000e+00, 5.000000e-01, 7.142857e-01
2357, 7.142857e-02, 5.000000e-01, 7.142857e-01
2358, 1.428571e-01, 5.000000e-01, 7.142857e-01
2359, 2.142857e-01, 5.000000e-01, 7.142857e-01
2360, 2.857143e-01, 5.000000e-01, 7.142857e-01
2361, 3.571429e-01, 5.000000e-01, 7.142857e-01
2362, 4.285714e-01, 5.000000e-01, 7.142857e-01
2363, 5.000000e-01, 5.000000e-01, 7.142857e-01
2364, 5.714286e-01, 5.000000e-01, 7.142857e-01
2365, 6.428571e-01, 5.000000e-01, 7.142857e-01
2366, 7.142857e-01, 5.000000e-01, 7.142857e-01
2367, 7.857143e-01, 5.000000e-01, 7.142857e-01
2368, 8.571429e-01, 5.000000e-01, 7.142857e-01
2369, 9.285714e-01, 5.000000e-01, 7.142857e-01
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2371, 0.000000e+00, 5.714286e-01, 7.142857e-01
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2378, 5.000000e-01, 5.714286e-01, 7.142857e-01
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2380, 6.428571e-01, 5.714286e-01, 7.142857e-01
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2382, 7.857143e-01, 5.714286e-01, 7.142857e-01
2383, 8.571429e-01, 5.714286e-01, 7.142857e-01
2384, 9.285714e-01, 5.714286e-01, 7.142857e-01
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2386, 0.000000e+00, 6.428571e-01, 7.142857e-01
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2388, 1.428571e-01, 6.428571e-01, 7.142857e-01
2389, 2.142857e-01, 6.428571e-01, 7.142857e-01
2390, 2.857143e-01, 6.428571e-01, 7.142857e-01
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2392, 4.285714e-01, 6.428571e-01, 7.142857e-01
2393, 5.000000e-01, 6.428571e-01, 7.142857e-01
2394, 5.714286e-01, 6.428571e-01, 7.142857e-01
2395, 6.428571e-01, 6.428571e-01, 7.142857e-01
2396, 7.142857e-01, 6.428571e-01, 7.142857e-01
2397, 7.857143e-01, 6.428571e-01, 7.142857e-01
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2443, 8.571429e-01, 8.571429e-01, 7.142857e-01
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2452, 4.285714e-01, 9.285714e-01, 7.142857e-01
2453, 5.000000e-01, 9.285714e-01, 7.142857e-01
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2456, 7.142857e-01, 9.285714e-01, 7.142857e-01
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2458, 8.571429e-01, 9.285714e-01, 7.142857e-01
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2462, 7.142857e-02, 1.000000e+00, 7.142857e-01
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2465, 2.857143e-01, 1.000000e+00, 7.142857e-01
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2468, 5.000000e-01, 1.000000e+00, 7.142857e-01
2469, 5.714286e-01, 1.000000e+00, 7.142857e-01
2470, 6.428571e-01, 1.000000e+00, 7.142857e-01
2471, 7.142857e-01, 1.000000e+00, 7.142857e-01
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2473, 8.571429e-01, 1.000000e+00, 7.142857e-01
2474, 9.285714e-01, 1.000000e+00, 7.142857e-01
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2480, 2.857143e-01, 0.000000e+00, 7.857143e-01
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2482, 4.285714e-01, 0.000000e+00, 7.857143e-01
2483, 5.000000e-01, 0.000000e+00, 7.857143e-01
2484, 5.714286e-01, 0.000000e+00, 7.857143e-01
2485, 6.428571e-01, 0.000000e+00, 7.857143e-01
2486, 7.142857e-01, 0.000000e+00, 7.857143e-01
2487, 7.857143e-01, 0.000000e+00, 7.857143e-01
2488, 8.571429e-01, 0.000000e+00, 7.857143e-01
2489, 9.285714e-01, 0.000000e+00, 7.857143e-01
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2495, 2.857143e-01, 7.142857e-02, 7.857143e-01
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2497, 4.285714e-01, 7.142857e-02, 7.857143e-01
2498, 5.000000e-01, 7.142857e-02, 7.857143e-01
2499, 5.714286e-01, 7.142857e-02, 7.857143e-01
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2501, 7.142857e-01, 7.142857e-02, 7.857143e-01
2502, 7.857143e-01, 7.142857e-02, 7.857143e-01
2503, 8.571429e-01, 7.142857e-02, 7.857143e-01
2504, 9.285714e-01, 7.142857e-02, 7.857143e-01
2505, 1.000000e+00, 7.142857e-02, 7.857143e-01
2506, 0.000000e+00, 1.428571e-01, 7.857143e-01
2507, 7.142857e-02, 1.428571e-01, 7.857143e-01
2508, 1.428571e-01, 1.428571e-01, 7.857143e-01
2509, 2.142857e-01, 1.428571e-01, 7.857143e-01
2510, 2.857143e-01, 1.428571e-01, 7.857143e-01
2511, 3.571429e-01, 1.428571e-01, 7.857143e-01
2512, 4.285714e-01, 1.428571e-01, 7.857143e-01
2513, 5.000000e-01, 1.428571e-01, 7.857143e-01
2514, 5.714286e-01, 1.428571e-01, 7.857143e-01
2515, 6.428571e-01, 1.428571e-01, 7.857143e-01
2516, 7.142857e-01, 1.428571e-01, 7.857143e-01
2517, 7.857143e-01, 1.428571e-01, 7.857143e-01
2518, 8.571429e-01, 1.428571e-01, 7.857143e-01
2519, 9.285714e-01, 1.428571e-01, 7.857143e-01
2520, 1.000000e+00, 1.428571e-01, 7.857143e-01
2521, 0.000000e+00, 2.142857e-01, 7.857143e-01
2522, 7.142857e-02, 2.142857e-01, 7.857143e-01
2523, 1.428571e-01, 2.142857e-01, 7.857143e-01
2524, 2.142857e-01, 2.142857e-01, 7.857143e-01
2525, 2.857143e-01, 2.142857e-01, 7.857143e-01
2526, 3.571429e-01, 2.142857e-01, 7.857143e-01
2527, 4.285714e-01, 2.142857e-01, 7.857143e-01
2528, 5.000000e-01, 2.142857e-01, 7.857143e-01
2529, 5.714286e-01, 2.142857e-01, 7.857143e-01
2530, 6.428571e-01, 2.142857e-01, 7.857143e-01
2531, 7.142857e-01, 2.142857e-01, 7.857143e-01
2532, 7.857143e-01, 2.142857e-01, 7.857143e-01
2533, 8.571429e-01, 2.142857e-01, 7.857143e-01
2534, 9.285714e-01, 2.142857e-01, 7.857143e-01
2535, 1.000000e+00, 2.142857e-01, 7.857143e-01
2536, 0.000000e+00, 2.857143e-01, 7.857143e-01
2537, 7.142857e-02, 2.857143e-01, 7.857143e-01
2538, 1.428571e-01, 2.857143e-01, 7.857143e-01
2539, 2.142857e-01, 2.857143e-01, 7.857143e-01
2540, 2.857143e-01, 2.857143e-01, 7.857143e-01
2541, 3.571429e-01, 2.857143e-01, 7.857143e-01
2542, 4.285714e-01, 2.857143e-01, 7.857143e-01
2543, 5.000000e-01, 2.857143e-01, 7.857143e-01
2544, 5.714286e-01, 2.857143e-01, 7.857143e-01
2545, 6.428571e-01, 2.857143e-01, 7.857143e-01
2546, 7.142857e-01, 2.857143e-01, 7.857143e-01
2547, 7.857143e-01, 2.857143e-01, 7.857143e-01
2548, 8.571429e-01, 2.857143e-01, 7.857143e-01
2549, 9.285714e-01, 2.857143e-01, 7.857143e-01
2550, 1.000000e+00, 2.857143e-01, 7.857143e-01
2551, 0.000000e+00, 3.571429e-01, 7.857143e-01
2552, 7.142857e-02, 3.571429e-01, 7.857143e-01
2553, 1.428571e-01, 3.571429e-01, 7.857143e-01
2554, 2.142857e-01, 3.571429e-01, 7.857143e-01
2555, 2.857143e-01, 3.571429e-01, 7.857143e-01
2556, 3.571429e-01, 3.571429e-01, 7.857143e-01
2557, 4.285714e-01, 3.571429e-01, 7.857143e-01
2558, 5.000000e-01, 3.571429e-01, 7.857143e-01
2559, 5.714286e-01, 3.571429e-01, 7.857143e-01
2560, 6.428571e-01, 3.571429e-01, 7.857143e-01
2561, 7.142857e-01, 3.571429e-01, 7.857143e-01
2562, 7.857143e-01, 3.571429e-01, 7.857143e-01
2563, 8.571429e-01, 3.571429e-01, 7.857143e-01
2564, 9.285714e-01, 3.571429e-01, 7.857143e-01
2565, 1.000000e+00, 3.571429e-01, 7.857143e-01
2566, 0.000000e+00, 4.285714e-01, 7.857143e-01
2567, 7.142857e-02, 4.285714e-01, 7.857143e-01
2568, 1.428571e-01, 4.285714e-01, 7.857143e-01
2569, 2.142857e-01, 4.285714e-01, 7.857143e-01
2570, 2.857143e-01, 4.285714e-01, 7.857143e-01
2571, 3.571429e-01, 4.285714e-01, 7.857143e-01
2572, 4.285714e-01, 4.285714e-01, 7.857143e-01
2573, 5.000000e-01, 4.285714e-01, 7.857143e-01
2574, 5.714286e-01, 4.285714e-01, 7.857143e-01
2575, 6.428571e-01, 4.285714e-01, 7.857143e-01
2576, 7.142857e-01, 4.285714e-01, 7.857143e-01
2577, 7.857143e-01, 4.285714e-01, 7.857143e-01
2578, 8.571429e-01, 4.285714e-01, 7.857143e-01
2579, 9.285714e-01, 4.285714e-01, 7.857143e-01
2580, 1.000000e+00, 4.285714e-01, 7.857143e-01
2581, 0.000000e+00, 5.000000e-01, 7.857143e-01
2582, 7.142857e-02, 5.000000e-01, 7.857143e-01
2583, 1.428571e-01, 5.000000e-01, 7.857143e-01
2584, 2.142857e-01, 5.000000e-01, 7.857143e-01
2585, 2.857143e-01, 5.000000e-01, 7.857143e-01
2586, 3.571429e-01, 5.000000e-01, 7.857143e-01
2587, 4.285714e-01, 5.000000e-01, 7.857143e-01
2588, 5.000000e-01, 5.000000e-01, 7.857143e-01
2589, 5.714286e-01, 5.000000e-01, 7.857143e-01
2590, 6.428571e-01, 5.000000e-01, 7.857143e-01
2591, 7.142857e-01, 5.000000e-01, 7.857143e-01
2592, 7.857143e-01, 5.000000e-01, 7.857143e-01
2593, 8.571429e-01, 5.000000e-01, 7.857143e-01
2594, 9.285714e-01, 5.000000e-01, 7.857143e-01
2595, 1.000000e+00, 5.000000e-01, 7.857143e-01
2596, 0.000000e+00, 5.714286e-01, 7.857143e-01
2597, 7.142857e-02, 5.714286e-01, 7.857143e-01
2598, 1.428571e-01, 5.714286e-01, 7.857143e-01
2599, 2.142857e-01, 5.714286e-01, 7.857143e-01
2600, 2.857143e-01, 5.714286e-01, 7.857143e-01
2601, 3.571429e-01, 5.714286e-01, 7.857143e-01
2602, 4.285714e-01, 5.714286e-01, 7.857143e-01
2603, 5.000000e-01, 5.714286e-01, 7.857143e-01
2604, 5.714286e-01, 5.714286e-01, 7.857143e-01
2605, 6.428571e-01, 5.714286e-01, 7.857143e-01
2606, 7.142857e-01, 5.714286e-01, 7.857143e-01
2607, 7.857143e-01, 5.714286e-01, 7.857143e-01
2608, 8.571429e-01, 5.714286e-01, 7.857143e-01
2609, 9.285714e-01, 5.714286e-01, 7.857143e-01
2610, 1.000000e+00, 5.714286e-01, 7.857143e-01
2611, 0.000000e+00, 6.428571e-01, 7.857143e-01
2612, 7.142857e-02, 6.428571e-01, 7.857143e-01
2613, 1.428571e-01, 6.428571e-01, 7.857143e-01
2614, 2.142857e-01, 6.428571e-01, 7.857143e-01
2615, 2.857143e-01, 6.428571e-01, 7.857143e-01
2616, 3.571429e-01, 6.428571e-01, 7.857143e-01
2617, 4.285714e-01, 6.428571e-01, 7.857143e-01
2618, 5.000000e-01, 6.428571e-01, 7.857143e-01
2619, 5.714286e-01, 6.428571e-01, 7.857143e-01
2620, 6.428571e-01, 6.428571e-01, 7.857143e-01
2621, 7.142857e-01, 6.428571e-01, 7.857143e-01
2622, 7.857143e-01, 6.428571e-01, 7.857143e-01
2623, 8.571429e-01, 6.428571e-01, 7.857143e-01
2624, 9.285714e-01, 6.428571e-01, 7.857143e-01
2625, 1.000000e+00, 6.428571e-01, 7.857143e-01
2626, 0.000000e+00, 7.142857e-01, 7.857143e-01
2627, 7.142857e-02, 7.142857e-01, 7.857143e-01
2628, 1.428571e-01, 7.142857e-01, 7.857143e-01
2629, 2.142857e-01, 7.142857e-01, 7.857143e-01
2630, 2.857143e-01, 7.142857e-01, 7.857143e-01
2631, 3.571429e-01, 7.142857e-01, 7.857143e-01
2632, 4.285714e-01, 7.142857e-01, 7.857143e-01
2633, 5.000000e-01, 7.142857e-01, 7.857143e-01
2634, 5.714286e-01, 7.142857e-01, 7.857143e-01
2635, 6.428571e-01, 7.142857e-01, 7.857143e-01
2636, 7.142857e-01, 7.142857e-01, 7.857143e-01
2637, 7.857143e-01, 7.142857e-01, 7.857143e-01
2638, 8.571429e-01, 7.142857e-01, 7.857143e-01
2639, 9.285714e-01, 7.142857e-01, 7.857143e-01
2640, 1.000000e+00, 7.142857e-01, 7.857143e-01
2641, 0.000000e+00, 7.857143e-01, 7.857143e-01
2642, 7.142857e-02, 7.857143e-01, 7.857143e-01
2643, 1.428571e-01, 7.857143e-01, 7.857143e-01
2644, 2.142857e-01, 7.857143e-01, 7.857143e-01
2645, 2.857143e-01, 7.857143e-01, 7.857143e-01
2646, 3.571429e-01, 7.857143e-01, 7.857143e-01
2647, 4.285714e-01, 7.857143e-01, 7.857143e-01
2648, 5.000000e-01, 7.857143e-01, 7.857143e-01
2649, 5.714286e-01, 7.857143e-01, 7.857143e-01
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2651, 7.142857e-01, 7.857143e-01, 7.857143e-01
2652, 7.857143e-01, 7.857143e-01, 7.857143e-01
2653, 8.571429e-01, 7.857143e-01, 7.857143e-01
2654, 9.285714e-01, 7.857143e-01, 7.857143e-01
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2658, 1.428571e-01, 8.571429e-01, 7.857143e-01
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2661, 3.571429e-01, 8.571429e-01, 7.857143e-01
2662, 4.285714e-01, 8.571429e-01, 7.857143e-01
2663, 5.000000e-01, 8.571429e-01, 7.857143e-01
2664, 5.714286e-01, 8.571429e-01, 7.857143e-01
2665, 6.428571e-01, 8.571429e-01, 7.857143e-01
2666, 7.142857e-01, 8.571429e-01, 7.857143e-01
2667, 7.857143e-01, 8.571429e-01, 7.857143e-01
2668, 8.571429e-01, 8.571429e-01, 7.857143e-01
2669, 9.285714e-01, 8.571429e-01, 7.857143e-01
2670, 1.000000e+00, 8.571429e-01, 7.857143e-01
2671, 0.000000e+00, 9.285714e-01, 7.857143e-01
2672, 7.142857e-02, 9.285714e-01, 7.857143e-01
2673, 1.428571e-01, 9.285714e-01, 7.857143e-01
2674, 2.142857e-01, 9.285714e-01, 7.857143e-01
2675, 2.857143e-01, 9.285714e-01, 7.857143e-01
2676, 3.571429e-01, 9.285714e-01, 7.857143e-01
2677, 4.285714e-01, 9.285714e-01, 7.857143e-01
2678, 5.000000e-01, 9.285714e-01, 7.857143e-01
2679, 5.714286e-01, 9.285714e-01, 7.857143e-01
2680, 6.428571e-01, 9.285714e-01, 7.857143e-01
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2682, 7.857143e-01, 9.285714e-01, 7.857143e-01
2683, 8.571429e-01, 9.285714e-01, 7.857143e-01
2684, 9.285714e-01, 9.285714e-01, 7.857143e-01
2685, 1.000000e+00, 9.285714e-01, 7.857143e-01
2686, 0.000000e+00, 1.000000e+00, 7.857143e-01
2687, 7.142857e-02, 1.000000e+00, 7.857143e-01
2688, 1.428571e-01, 1.000000e+00, 7.857143e-01
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2691, 3.571429e-01, 1.000000e+00, 7.857143e-01
2692, 4.285714e-01, 1.000000e+00, 7.857143e-01
2693, 5.000000e-01, 1.000000e+00, 7.857143e-01
2694, 5.714286e-01, 1.000000e+00, 7.857143e-01
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2697, 7.857143e-01, 1.000000e+00, 7.857143e-01
2698, 8.571429e-01, 1.000000e+00, 7.857143e-01
2699, 9.285714e-01, 1.000000e+00, 7.857143e-01
2700, 1.000000e+00, 1.000000e+00, 7.857143e-01
2701, 0.000000e+00, 0.000000e+00, 8.571429e-01
2702, 7.142857e-02, 0.000000e+00, 8.571429e-01
2703, 1.428571e-01, 0.000000e+00, 8.571429e-01
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2705, 2.857143e-01, 0.000000e+00, 8.571429e-01
2706, 3.571429e-01, 0.000000e+00, 8.571429e-01
2707, 4.285714e-01, 0.000000e+00, 8.571429e-01
2708, 5.000000e-01, 0.000000e+00, 8.571429e-01
2709, 5.714286e-01, 0.000000e+00, 8.571429e-01
2710, 6.428571e-01, 0.000000e+00, 8.571429e-01
2711, 7.142857e-01, 0.000000e+00, 8.571429e-01
2712, 7.857143e-01, 0.000000e+00, 8.571429e-01
2713, 8.571429e-01, 0.000000e+00, 8.571429e-01
2714, 9.285714e-01, 0.000000e+00, 8.571429e-01
2715, 1.000000e+00, 0.000000e+00, 8.571429e-01
2716, 0.000000e+00, 7.142857e-02, 8.571429e-01
2717, 7.142857e-02, 7.142857e-02, 8.571429e-01
2718, 1.428571e-01, 7.142857e-02, 8.571429e-01
2719, 2.142857e-01, 7.142857e-02, 8.571429e-01
2720, 2.857143e-01, 7.142857e-02, 8.571429e-01
2721, 3.571429e-01, 7.142857e-02, 8.571429e-01
2722, 4.285714e-01, 7.142857e-02, 8.571429e-01
2723, 5.000000e-01, 7.142857e-02, 8.571429e-01
2724, 5.714286e-01, 7.142857e-02, 8.571429e-01
2725, 6.428571e-01, 7.142857e-02, 8.571429e-01
2726, 7.142857e-01, 7.142857e-02, 8.571429e-01
2727, 7.857143e-01, 7.142857e-02, 8.571429e-01
2728, 8.571429e-01, 7.142857e-02, 8.571429e-01
2729, 9.285714e-01, 7.142857e-02, 8.571429e-01
2730, 1.000000e+00, 7.142857e-02, 8.571429e-01
2731, 0.000000e+00, 1.428571e-01, 8.571429e-01
2732, 7.142857e-02, 1.428571e-01, 8.571429e-01
2733, 1.428571e-01, 1.428571e-01, 8.571429e-01
2734, 2.142857e-01, 1.428571e-01, 8.571429e-01
2735, 2.857143e-01, 1.428571e-01, 8.571429e-01
2736, 3.571429e-01, 1.428571e-01, 8.571429e-01
2737, 4.285714e-01, 1.428571e-01, 8.571429e-01
2738, 5.000000e-01, 1.428571e-01, 8.571429e-01
2739, 5.714286e-01, 1.428571e-01, 8.571429e-01
2740, 6.428571e-01, 1.428571e-01, 8.571429e-01
2741, 7.142857e-01, 1.428571e-01, 8.571429e-01
2742, 7.857143e-01, 1.428571e-01, 8.571429e-01
2743, 8.571429e-01, 1.428571e-01, 8.571429e-01
2744, 9.285714e-01, 1.428571e-01, 8.571429e-01
2745, 1.000000e+00, 1.428571e-01, 8.571429e-01
2746, 0.000000e+00, 2.142857e-01, 8.571429e-01
2747, 7.142857e-02, 2.142857e-01, 8.571429e-01
2748, 1.428571e-01, 2.142857e-01, 8.571429e-01
2749, 2.142857e-01, 2.142857e-01, 8.571429e-01
2750, 2.857143e-01, 2.142857e-01, 8.571429e-01
2751, 3.571429e-01, 2.142857e-01, 8.571429e-01
2752, 4.285714e-01, 2.142857e-01, 8.571429e-01
2753, 5.000000e-01, 2.142857e-01, 8.571429e-01
2754, 5.714286e-01, 2.142857e-01, 8.571429e-01
2755, 6.428571e-01, 2.142857e-01, 8.571429e-01
2756, 7.142857e-01, 2.142857e-01, 8.571429e-01
2757, 7.857143e-01, 2.142857e-01, 8.571429e-01
2758, 8.571429e-01, 2.142857e-01, 8.571429e-01
2759, 9.285714e-01, 2.142857e-01, 8.571429e-01
2760, 1.000000e+00, 2.142857e-01, 8.571429e-01
2761, 0.000000e+00, 2.857143e-01, 8.571429e-01
2762, 7.142857e-02, 2.857143e-01, 8.571429e-01
2763, 1.428571e-01, 2.857143e-01, 8.571429e-01
2764, 2.142857e-01, 2.857143e-01, 8.571429e-01
2765, 2.857143e-01, 2.857143e-01, 8.571429e-01
2766, 3.571429e-01, 2.857143e-01, 8.571429e-01
2767, 4.285714e-01, 2.857143e-01, 8.571429e-01
2768, 5.000000e-01, 2.857143e-01, 8.571429e-01
2769, 5.714286e-01, 2.857143e-01, 8.571429e-01
2770, 6.428571e-01, 2.857143e-01, 8.571429e-01
2771, 7.142857e-01, 2.857143e-01, 8.571429e-01
2772, 7.857143e-01, 2.857143e-01, 8.571429e-01
2773, 8.571429e-01, 2.857143e-01, 8.571429e-01
2774, 9.285714e-01, 2.857143e-01, 8.571429e-01
2775, 1.000000e+00, 2.857143e-01, 8.571429e-01
2776, 0.000000e+00, 3.571429e-01, 8.571429e-01
2777, 7.142857e-02, 3.571429e-01, 8.571429e-01
2778, 1.428571e-01, 3.571429e-01, 8.571429e-01
2779, 2.142857e-01, 3.571429e-01, 8.571429e-01
2780, 2.857143e-01, 3.571429e-01, 8.571429e-01
2781, 3.571429e-01, 3.571429e-01, 8.571429e-01
2782, 4.285714e-01, 3.571429e-01, 8.571429e-01
2783, 5.000000e-01, 3.571429e-01, 8.571429e-01
2784, 5.714286e-01, 3.571429e-01, 8.571429e-01
2785, 6.428571e-01, 3.571429e-01, 8.571429e-01
2786, 7.142857e-01, 3.571429e-01, 8.571429e-01
2787, 7.857143e-01, 3.571429e-01, 8.571429e-01
2788, 8.571429e-01, 3.571429e-01, 8.571429e-01
2789, 9.285714e-01, 3.571429e-01, 8.571429e-01
2790, 1.000000e+00, 3.571429e-01, 8.571429e-01
2791, 0.000000e+00, 4.285714e-01, 8.571429e-01
2792, 7.142857e-02, 4.285714e-01, 8.571429e-01
2793, 1.428571e-01, 4.285714e-01, 8.571429e-01
2794, 2.142857e-01, 4.285714e-01, 8.571429e-01
2795, 2.857143e-01, 4.285714e-01, 8.571429e-01
2796, 3.571429e-01, 4.285714e-01, 8.571429e-01
2797, 4.285714e-01, 4.285714e-01, 8.571429e-01
2798, 5.000000e-01, 4.285714e-01, 8.571429e-01
2799, 5.714286e-01, 4.285714e-01, 8.571429e-01
2800, 6.428571e-01, 4.285714e-01, 8.571429e-01
2801, 7.142857e-01, 4.285714e-01, 8.571429e-01
2802, 7.857143e-01, 4.285714e-01, 8.571429e-01
2803, 8.571429e-01, 4.285714e-01, 8.571429e-01
2804, 9.285714e-01, 4.285714e-01, 8.571429e-01
2805, 1.000000e+00, 4.285714e-01, 8.571429e-01
2806, 0.000000e+00, 5.000000e-01, 8.571429e-01
2807, 7.142857e-02, 5.000000e-01, 8.571429e-01
2808, 1.428571e-01, 5.000000e-01, 8.571429e-01
2809, 2.142857e-01, 5.000000e-01, 8.571429e-01
2810, 2.857143e-01, 5.000000e-01, 8.571429e-01
2811, 3.571429e-01, 5.000000e-01, 8.571429e-01
2812, 4.285714e-01, 5.000000e-01, 8.571429e-01
2813, 5.000000e-01, 5.000000e-01, 8.571429e-01
2814, 5.714286e-01, 5.000000e-01, 8.571429e-01
2815, 6.428571e-01, 5.000000e-01, 8.571429e-01
2816, 7.142857e-01, 5.000000e-01, 8.571429e-01
2817, 7.857143e-01, 5.000000e-01, 8.571429e-01
2818, 8.571429e-01, 5.000000e-01, 8.571429e-01
2819, 9.285714e-01, 5.000000e-01, 8.571429e-01
2820, 1.000000e+00, 5.000000e-01, 8.571429e-01
2821, 0.000000e+00, 5.714286e-01, 8.571429e-01
2822, 7.142857e-02, 5.714286e-01, 8.571429e-01
2823, 1.428571e-01, 5.714286e-01, 8.571429e-01
2824, 2.142857e-01, 5.714286e-01, 8.571429e-01
2825, 2.857143e-01, 5.714286e-01, 8.571429e-01
2826, 3.571429e-01, 5.714286e-01, 8.571429e-01
2827, 4.285714e-01, 5.714286e-01, 8.571429e-01
2828, 5.000000e-01, 5.714286e-01, 8.571429e-01
2829, 5.714286e-01, 5.714286e-01, 8.571429e-01
2830, 6.428571e-01, 5.714286e-01, 8.571429e-01
2831, 7.142857e-01, 5.714286e-01, 8.571429e-01
2832, 7.857143e-01, 5.714286e-01, 8.571429e-01
2833, 8.571429e-01, 5.714286e-01, 8.571429e-01
2834, 9.285714e-01, 5.714286e-01, 8.571429e-01
2835, 1.000000e+00, 5.714286e-01, 8.571429e-01
2836, 0.000000e+00, 6.428571e-01, 8.571429e-01
2837, 7.142857e-02, 6.428571e-01, 8.571429e-01
2838, 1.428571e-01, 6.428571e-01, 8.571429e-01
2839, 2.142857e-01, 6.428571e-01, 8.571429e-01
2840, 2.857143e-01, 6.428571e-01, 8.571429e-01
2841, 3.571429e-01, 6.428571e-01, 8.571429e-01
2842, 4.285714e-01, 6.428571e-01, 8.571429e-01
2843, 5.000000e-01, 6.428571e-01, 8.571429e-01
2844, 5.714286e-01, 6.428571e-01, 8.571429e-01
2845, 6.428571e-01, 6.428571e-01, 8.571429e-01
2846, 7.142857e-01, 6.428571e-01, 8.571429e-01
2847, 7.857143e-01, 6.428571e-01, 8.571429e-01
2848, 8.571429e-01, 6.428571e-01, 8.571429e-01
2849, 9.285714e-01, 6.428571e-01, 8.571429e-01
2850, 1.000000e+00, 6.428571e-01, 8.571429e-01
2851, 0.000000e+00, 7.142857e-01, 8.571429e-01
2852, 7.142857e-02, 7.142857e-01, 8.571429e-01
2853, 1.428571e-01, 7.142857e-01, 8.571429e-01
2854, 2.142857e-01, 7.142857e-01, 8.571429e-01
2855, 2.857143e-01, 7.142857e-01, 8.571429e-01
2856, 3.571429e-01, 7.142857e-01, 8.571429e-01
2857, 4.285714e-01, 7.142857e-01, 8.571429e-01
2858, 5.000000e-01, 7.142857e-01, 8.571429e-01
2859, 5.714286e-01, 7.142857e-01, 8.571429e-01
2860, 6.428571e-01, 7.142857e-01, 8.571429e-01
2861, 7.142857e-01, 7.142857e-01, 8.571429e-01
2862, 7.857143e-01, 7.142857e-01, 8.571429e-01
2863, 8.571429e-01, 7.142857e-01, 8.571429e-01
2864, 9.285714e-01, 7.142857e-01, 8.571429e-01
2865, 1.000000e+00, 7.142857e-01, 8.571429e-01
2866, 0.000000e+00, 7.857143e-01, 8.571429e-01
2867, 7.142857e-02, 7.857143e-01, 8.571429e-01
2868, 1.428571e-01, 7.857143e-01, 8.571429e-01
2869, 2.142857e-01, 7.857143e-01, 8.571429e-01
2870, 2.857143e-01, 7.857143e-01, 8.571429e-01
2871, 3.571429e-01, 7.857143e-01, 8.571429e-01
2872, 4.285714e-01, 7.857143e-01, 8.571429e-01
2873, 5.000000e-01, 7.857143e-01, 8.571429e-01
2874, 5.714286e-01, 7.857143e-01, 8.571429e-01
2875, 6.428571e-01, 7.857143e-01, 8.571429e-01
2876, 7.142857e-01, 7.857143e-01, 8.571429e-01
2877, 7.857143e-01, 7.857143e-01, 8.571429e-01
2878, 8.571429e-01, 7.857143e-01, 8.571429e-01
2879, 9.285714e-01, 7.857143e-01, 8.571429e-01
2880, 1.000000e+00, 7.857143e-01, 8.571429e-01
2881, 0.000000e+00, 8.571429e-01, 8.571429e-01
2882, 7.142857e-02, 8.571429e-01, 8.571429e-01
2883, 1.428571e-01, 8.571429e-01, 8.571429e-01
2884, 2.142857e-01, 8.571429e-01, 8.571429e-01
2885, 2.857143e-01, 8.571429e-01, 8.571429e-01
2886, 3.571429e-01, 8.571429e-01, 8.571429e-01
2887, 4.285714e-01, 8.571429e-01, 8.571429e-01
2888, 5.000000e-01, 8.571429e-01, 8.571429e-01
2889, 5.714286e-01, 8.571429e-01, 8.571429e-01
2890, 6.428571e-01, 8.571429e-01, 8.571429e-01
2891, 7.142857e-01, 8.571429e-01, 8.571429e-01
2892, 7.857143e-01, 8.571429e-01, 8.571429e-01
2893, 8.571429e-01, 8.571429e-01, 8.571429e-01
2894, 9.285714e-01, 8.571429e-01, 8.571429e-01
2895, 1.000000e+00, 8.571429e-01, 8.571429e-01
2896, 0.000000e+00, 9.285714e-01, 8.571429e-01
2897, 7.142857e-02, 9.285714e-01, 8.571429e-01
2898, 1.428571e-01, 9.285714e-01, 8.571429e-01
2899, 2.142857e-01, 9.285714e-01, 8.571429e-01
2900, 2.857143e-01, 9.285714e-01, 8.571429e-01
2901, 3.571429e-01, 9.285714e-01, 8.571429e-01
2902, 4.285714e-01, 9.285714e-01, 8.571429e-01
2903, 5.000000e-01, 9.285714e-01, 8.571429e-01
2904, 5.714286e-01, 9.285714e-01, 8.571429e-01
2905, 6.428571e-01, 9.285714e-01, 8.571429e-01
2906, 7.142857e-01, 9.285714e-01, 8.571429e-01
2907, 7.857143e-01, 9.285714e-01, 8.571429e-01
2908, 8.571429e-01, 9.285714e-01, 8.571429e-01
2909, 9.285714e-01, 9.285714e-01, 8.571429e-01
2910, 1.000000e+00, 9.285714e-01, 8.571429e-01
2911, 0.000000e+00, 1.000000e+00, 8.571429e-01
2912, 7.142857e-02, 1.000000e+00, 8.571429e-01
2913, 1.428571e-01, 1.000000e+00, 8.571429e-01
2914, 2.142857e-01, 1.000000e+00, 8.571429e-01
2915, 2.857143e-01, 1.000000e+00, 8.571429e-01
2916, 3.571429e-01, 1.000000e+00, 8.571429e-01
2917, 4.285714e-01, 1.000000e+00, 8.571429e-01
2918, 5.000000e-01, 1.000000e+00, 8.571429e-01
2919, 5.714286e-01, 1.000000e+00, 8.571429e-01
2920, 6.428571e-01, 1.000000e+00, 8.571429e-01
2921, 7.142857e-01, 1.000000e+00, 8.571429e-01
2922, 7.857143e-01, 1.000000e+00, 8.571429e-01
2923, 8.571429e-01, 1.000000e+00, 8.571429e-01
2924, 9.285714e-01, 1.000000e+00, 8.571429e-01
2925, 1.000000e+00, 1.000000e+00, 8.571429e-01
2926, 0.000000e+00, 0.000000e+00, 9.285714e-01
2927, 7.142857e-02, 0.000000e+00, 9.285714e-01
2928, 1.428571e-01, 0.000000e+00, 9.285714e-01
2929, 2.142857e-01, 0.000000e+00, 9.285714e-01
2930, 2.857143e-01, 0.000000e+00, 9.285714e-01
2931, 3.571429e-01, 0.000000e+00, 9.285714e-01
2932, 4.285714e-01, 0.000000e+00, 9.285714e-01
2933, 5.000000e-01, 0.000000e+00, 9.285714e-01
2934, 5.714286e-01, 0.000000e+00, 9.285714e-01
2935, 6.428571e-01, 0.000000e+00, 9.285714e-01
2936, 7.142857e-01, 0.000000e+00, 9.285714e-01
2937, 7.857143e-01, 0.000000e+00, 9.285714e-01
2938, 8.571429e-01, 0.000000e+00, 9.285714e-01
2939, 9.285714e-01, 0.000000e+00, 9.285714e-01
2940, 1.000000e+00, 0.000000e+00, 9.285714e-01
2941, 0.000000e+00, 7.142857e-02, 9.285714e-01
2942, 7.142857e-02, 7.142857e-02, 9.285714e-01
2943, 1.428571e-01, 7.142857e-02, 9.285714e-01
2944, 2.142857e-01, 7.142857e-02, 9.285714e-01
2945, 2.857143e-01, 7.142857e-02, 9.285714e-01
2946, 3.571429e-01, 7.142857e-02, 9.285714e-01
2947, 4.285714e-01, 7.142857e-02, 9.285714e-01
2948, 5.000000e-01, 7.142857e-02, 9.285714e-01
2949, 5.714286e-01, 7.142857e-02, 9.285714e-01
2950, 6.428571e-01, 7.142857e-02, 9.285714e-01
2951, 7.142857e-01, 7.142857e-02, 9.285714e-01
2952, 7.857143e-01, 7.142857e-02, 9.285714e-01
2953, 8.571429e-01, 7.142857e-02, 9.285714e-01
2954, 9.285714e-01, 7.142857e-02, 9.285714e-01
2955, 1.000000e+00, 7.142857e-02, 9.285714e-01
2956, 0.000000e+00, 1.428571e-01, 9.285714e-01
2957, 7.142857e-02, 1.428571e-01, 9.285714e-01
2958, 1.428571e-01, 1.428571e-01, 9.285714e-01
2959, 2.142857e-01, 1.428571e-01, 9.285714e-01
2960, 2.857143e-01, 1.428571e-01, 9.285714e-01
2961, 3.571429e-01, 1.428571e-01, 9.285714e-01
2962, 4.285714e-01, 1.428571e-01, 9.285714e-01
2963, 5.000000e-01, 1.428571e-01, 9.285714e-01
2964, 5.714286e-01, 1.428571e-01, 9.285714e-01
2965, 6.428571e-01, 1.428571e-01, 9.285714e-01
2966, 7.142857e-01, 1.428571e-01, 9.285714e-01
2967, 7.857143e-01, 1.428571e-01, 9.285714e-01
2968, 8.571429e-01, 1.428571e-01, 9.285714e-01
2969, 9.285714e-01, 1.428571e-01, 9.285714e-01
2970, 1.000000e+00, 1.428571e-01, 9.285714e-01
2971, 0.000000e+00, 2.142857e-01, 9.285714e-01
2972, 7.142857e-02, 2.142857e-01, 9.285714e-01
2973, 1.428571e-01, 2.142857e-01, 9.285714e-01
2974, 2.142857e-01, 2.142857e-01, 9.285714e-01
2975, 2.857143e-01, 2.142857e-01, 9.285714e-01
2976, 3.571429e-01, 2.142857e-01, 9.285714e-01
2977, 4.285714e-01, 2.142857e-01, 9.285714e-01
2978, 5.000000e-01, 2.142857e-01, 9.285714e-01
2979, 5.714286e-01, 2.142857e-01, 9.285714e-01
2980, 6.428571e-01, 2.142857e-01, 9.285714e-01
2981, 7.142857e-01, 2.142857e-01, 9.285714e-01
2982, 7.857143e-01, 2.142857e-01, 9.285714e-01
2983, 8.571429e-01, 2.142857e-01, 9.285714e-01
2984, 9.285714e-01, 2.142857e-01, 9.285714e-01
2985, 1.000000e+00, 2.142857e-01, 9.285714e-01
2986, 0.000000e+00, 2.857143e-01, 9.285714e-01
2987, 7.142857e-02, 2.857143e-01, 9.285714e-01
2988, 1.428571e-01, 2.857143e-01, 9.285714e-01
2989, 2.142857e-01, 2.857143e-01, 9.285714e-01
2990, 2.857143e-01, 2.857143e-01, 9.285714e-01
2991, 3.571429e-01, 2.857143e-01, 9.285714e-01
2992, 4.285714e-01, 2.857143e-01, 9.285714e-01
2993, 5.000000e-01, 2.857143e-01, 9.285714e-01
2994, 5.714286e-01, 2.857143e-01, 9.285714e-01
2995, 6.428571e-01, 2.857143e-01, 9.285714e-01
2996, 7.142857e-01, 2.857143e-01, 9.285714e-01
2997, 7.857143e-01, 2.857143e-01, 9.285714e-01
2998, 8.571429e-01, 2.857143e-01, 9.285714e-01
2999, 9.285714e-01, 2.857143e-01, 9.285714e-01
3000, 1.000000e+00, 2.857143e-01, 9.285714e-01
3001, 0.000000e+00, 3.571429e-01, 9.285714e-01
3002, 7.142857e-02, 3.571429e-01, 9.285714e-01
3003, 1.428571e-01, 3.571429e-01, 9.285714e-01
3004, 2.142857e-01, 3.571429e-01, 9.285714e-01
3005, 2.857143e-01, 3.571429e-01, 9.285714e-01
3006, 3.571429e-01, 3.571429e-01, 9.285714e-01
3007, 4.285714e-01, 3.571429e-01, 9.285714e-01
3008, 5.000000e-01, 3.571429e-01, 9.285714e-01
3009, 5.714286e-01, 3.571429e-01, 9.285714e-01
3010, 6.428571e-01, 3.571429e-01, 9.285714e-01
3011, 7.142857e-01, 3.571429e-01, 9.285714e-01
3012, 7.857143e-01, 3.571429e-01, 9.285714e-01
3013, 8.571429e-01, 3.571429e-01, 9.285714e-01
3014, 9.285714e-01, 3.571429e-01, 9.285714e-01
3015, 1.000000e+00, 3.571429e-01, 9.285714e-01
3016, 0.000000e+00, 4.285714e-01, 9.285714e-01
3017, 7.142857e-02, 4.285714e-01, 9.285714e-01
3018, 1.428571e-01, 4.285714e-01, 9.285714e-01
3019, 2.142857e-01, 4.285714e-01, 9.285714e-01
3020, 2.857143e-01, 4.285714e-01, 9.285714e-01
3021, 3.571429e-01, 4.285714e-01, 9.285714e-01
3022, 4.285714e-01, 4.285714e-01, 9.285714e-01
3023, 5.000000e-01, 4.285714e-01, 9.285714e-01
3024, 5.714286e-01, 4.285714e-01, 9.285714e-01
3025, 6.428571e-01, 4.285714e-01, 9.285714e-01
3026, 7.142857e-01, 4.285714e-01, 9.285714e-01
3027, 7.857143e-01, 4.285714e-01, 9.285714e-01
3028, 8.571429e-01, 4.285714e-01, 9.285714e-01
3029, 9.285714e-01, 4.285714e-01, 9.285714e-01
3030, 1.000000e+00, 4.285714e-01, 9.285714e-01
3031, 0.000000e+00, 5.000000e-01, 9.285714e-01
3032, 7.142857e-02, 5.000000e-01, 9.285714e-01
3033, 1.428571e-01, 5.000000e-01, 9.285714e-01
3034, 2.142857e-01, 5.000000e-01, 9.285714e-01
3035, 2.857143e-01, 5.000000e-01, 9.285714e-01
3036, 3.571429e-01, 5.000000e-01, 9.285714e-01
3037, 4.285714e-01, 5.000000e-01, 9.285714e-01
3038, 5.000000e-01, 5.000000e-01, 9.285714e-01
3039, 5.714286e-01, 5.000000e-01, 9.285714e-01
3040, 6.428571e-01, 5.000000e-01, 9.285714e-01
3041, 7.142857e-01, 5.000000e-01, 9.285714e-01
3042, 7.857143e-01, 5.000000e-01, 9.285714e-01
3043, 8.571429e-01, 5.000000e-01, 9.285714e-01
3044, 9.285714e-01, 5.000000e-01, 9.285714e-01
3045, 1.000000e+00, 5.000000e-01, 9.285714e-01
3046, 0.000000e+00, 5.714286e-01, 9.285714e-01
3047, 7.142857e-02, 5.714286e-01, 9.285714e-01
3048, 1.428571e-01, 5.714286e-01, 9.285714e-01
3049, 2.142857e-01, 5.714286e-01, 9.285714e-01
3050, 2.857143e-01, 5.714286e-01, 9.285714e-01
3051, 3.571429e-01, 5.714286e-01, 9.285714e-01
3052, 4.285714e-01, 5.714286e-01, 9.285714e-01
3053, 5.000000e-01, 5.714286e-01, 9.285714e-01
3054, 5.714286e-01, 5.714286e-01, 9.285714e-01
3055, 6.428571e-01, 5.714286e-01, 9.285714e-01
3056, 7.142857e-01, 5.714286e-01, 9.285714e-01
3057, 7.857143e-01, 5.714286e-01, 9.285714e-01
3058, 8.571429e-01, 5.714286e-01, 9.285714e-01
3059, 9.285714e-01, 5.714286e-01, 9.285714e-01
3060, 1.000000e+00, 5.714286e-01, 9.285714e-01
3061, 0.000000e+00, 6.428571e-01, 9.285714e-01
3062, 7.142857e-02, 6.428571e-01, 9.285714e-01
3063, 1.428571e-01, 6.428571e-01, 9.285714e-01
3064, 2.142857e-01, 6.428571e-01, 9.285714e-01
3065, 2.857143e-01, 6.428571e-01, 9.285714e-01
3066, 3.571429e-01, 6.428571e-01, 9.285714e-01
3067, 4.285714e-01, 6.428571e-01, 9.285714e-01
3068, 5.000000e-01, 6.428571e-01, 9.285714e-01
3069, 5.714286e-01, 6.428571e-01, 9.285714e-01
3070, 6.428571e-01, 6.428571e-01, 9.285714e-01
3071, 7.142857e-01, 6.428571e-01, 9.285714e-01
3072, 7.857143e-01, 6.428571e-01, 9.285714e-01
3073, 8.571429e-01, 6.428571e-01, 9.285714e-01
3074, 9.285714e-01, 6.428571e-01, 9.285714e-01
3075, 1.000000e+00, 6.428571e-01, 9.285714e-01
3076, 0.000000e+00, 7.142857e-01, 9.285714e-01
3077, 7.142857e-02, 7.142857e-01, 9.285714e-01
3078, 1.428571e-01, 7.142857e-01, 9.285714e-01
3079, 2.142857e-01, 7.142857e-01, 9.285714e-01
3080, 2.857143e-01, 7.142857e-01, 9.285714e-01
3081, 3.571429e-01, 7.142857e-01, 9.285714e-01
3082, 4.285714e-01, 7.142857e-01, 9.285714e-01
3083, 5.000000e-01, 7.142857e-01, 9.285714e-01
3084, 5.714286e-01, 7.142857e-01, 9.285714e-01
3085, 6.428571e-01, 7.142857e-01, 9.285714e-01
3086, 7.142857e-01, 7.142857e-01, 9.285714e-01
3087, 7.857143e-01, 7.142857e-01, 9.285714e-01
3088, 8.571429e-01, 7.142857e-01, 9.285714e-01
3089, 9.285714e-01, 7.142857e-01, 9.285714e-01
3090, 1.000000e+00, 7.142857e-01, 9.285714e-01
3091, 0.000000e+00, 7.857143e-01, 9.285714e-01
3092, 7.142857e-02, 7.857143e-01, 9.285714e-01
3093, 1.428571e-01, 7.857143e-01, 9.285714e-01
3094, 2.142857e-01, 7.857143e-01, 9.285714e-01
3095, 2.857143e-01, 7.857143e-01, 9.285714e-01
3096, 3.571429e-01, 7.857143e-01, 9.285714e-01
3097, 4.285714e-01, 7.857143e-01, 9.285714e-01
3098, 5.000000e-01, 7.857143e-01, 9.285714e-01
3099, 5.714286e-01, 7.857143e-01, 9.285714e-01
3100, 6.428571e-01, 7.857143e-01, 9.285714e-01
3101, 7.142857e-01, 7.857143e-01, 9.285714e-01
3102, 7.857143e-01, 7.857143e-01, 9.285714e-01
3103, 8.571429e-01, 7.857143e-01, 9.285714e-01
3104, 9.285714e-01, 7.857143e-01, 9.285714e-01
3105, 1.000000e+00, 7.857143e-01, 9.285714e-01
3106, 0.000000e+00, 8.571429e-01, 9.285714e-01
3107, 7.142857e-02, 8.571429e-01, 9.285714e-01
3108, 1.428571e-01, 8.571429e-01, 9.285714e-01
3109, 2.142857e-01, 8.571429e-01, 9.285714e-01
3110, 2.857143e-01, 8.571429e-01, 9.285714e-01
3111, 3.571429e-01, 8.571429e-01, 9.285714e-01
3112, 4.285714e-01, 8.571429e-01, 9.285714e-01
3113, 5.000000e-01, 8.571429e-01, 9.285714e-01
3114, 5.714286e-01, 8.571429e-01, 9.285714e-01
3115, 6.428571e-01, 8.571429e-01, 9.285714e-01
3116, 7.142857e-01, 8.571429e-01, 9.285714e-01
3117, 7.857143e-01, 8.571429e-01, 9.285714e-01
3118, 8.571429e-01, 8.571429e-01, 9.285714e-01
3119, 9.285714e-01, 8.571429e-01, 9.285714e-01
3120, 1.000000e+00, 8.571429e-01, 9.285714e-01
3121, 0.000000e+00, 9.285714e-01, 9.285714e-01
3122, 7.142857e-02, 9.285714e-01, 9.285714e-01
3123, 1.428571e-01, 9.285714e-01, 9.285714e-01
3124, 2.142857e-01, 9.285714e-01, 9.285714e-01
3125, 2.857143e-01, 9.285714e-01, 9.285714e-01
3126, 3.571429e-01, 9.285714e-01, 9.285714e-01
3127, 4.285714e-01, 9.285714e-01, 9.285714e-01
3128, 5.000000e-01, 9.285714e-01, 9.285714e-01
3129, 5.714286e-01, 9.285714e-01, 9.285714e-01
3130, 6.428571e-01, 9.285714e-01, 9.285714e-01
3131, 7.142857e-01, 9.285714e-01, 9.285714e-01
3132, 7.857143e-01, 9.285714e-01, 9.285714e-01
3133, 8.571429e-01, 9.285714e-01, 9.285714e-01
3134, 9.285714e-01, 9.285714e-01, 9.285714e-01
3135, 1.000000e+00, 9.285714e-01, 9.285714e-01
3136, 0.000000e+00, 1.000000e+00, 9.285714e-01
3137, 7.142857e-02, 1.000000e+00, 9.285714e-01
3138, 1.428571e-01, 1.000000e+00, 9.285714e-01
3139, 2.142857e-01, 1.000000e+00, 9.285714e-01
3140, 2.857143e-01, 1.000000e+00, 9.285714e-01
3141, 3.571429e-01, 1.000000e+00, 9.285714e-01
3142, 4.285714e-01, 1.000000e+00, 9.285714e-01
3143, 5.000000e-01, 1.000000e+00, 9.285714e-01
3144, 5.714286e-01, 1.000000e+00, 9.285714e-01
3145, 6.428571e-01, 1.000000e+00, 9.285714e-01
3146, 7.142857e-01, 1.000000e+00, 9.285714e-01
3147, 7.857143e-01, 1.000000e+00, 9.285714e-01
3148, 8.571429e-01, 1.000000e+00, 9.285714e-01
3149, 9.285714e-01, 1.000000e+00, 9.285714e-01
3150, 1.000000e+00, 1.000000e+00, 9.285714e-01
3151, 0.000000e+00, 0.000000e+00, 1.000000e+00
3152, 7.142857e-02, 0.000000e+00, 1.000000e+00
3153, 1.428571e-01, 0.000000e+00, 1.000000e+00
3154, 2.142857e-01, 0.000000e+00, 1.000000e+00
3155, 2.857143e-01, 0.000000e+00, 1.000000e+00
3156, 3.571429e-01, 0.000000e+00, 1.000000e+00
3157, 4.285714e-01, 0.000000e+00, 1.000000e+00
3158, 5.000000e-01, 0.000000e+00, 1.000000e+00
3159, 5.714286e-01, 0.000000e+00, 1.000000e+00
3160, 6.428571e-01, 0.000000e+00, 1.000000e+00
3161, 7.142857e-01, 0.000000e+00, 1.000000e+00
3162, 7.857143e-01, 0.000000e+00, 1.000000e+00
3163, 8.571429e-01, 0.000000e+00, 1.000000e+00
3164, 9.285714e-01, 0.000000e+00, 1.000000e+00
3165, 1.000000e+00, 0.000000e+00, 1.000000e+00
3166, 0.000000e+00, 7.142857e-02, 1.000000e+00
3167, 7.142857e-02, 7.142857e-02, 1.000000e+00
3168, 1.428571e-01, 7.142857e-02, 1.000000e+00
3169, 2.142857e-01, 7.142857e-02, 1.000000e+00
3170, 2.857143e-01, 7.142857e-02, 1.000000e+00
3171, 3.571429e-01, 7.142857e-02, 1.000000e+00
3172, 4.285714e-01, 7.142857e-02, 1.000000e+00
3173, 5.000000e-01, 7.142857e-02, 1.000000e+00
3174, 5.714286e-01, 7.142857e-02, 1.000000e+00
3175, 6.428571e-01, 7.142857e-02, 1.000000e+00
3176, 7.142857e-01, 7.142857e-02, 1.000000e+00
3177, 7.857143e-01, 7.142857e-02, 1.000000e+00
3178, 8.571429e-01, 7.142857e-02, 1.000000e+00
3179, 9.285714e-01, 7.142857e-02, 1.000000e+00
3180, 1.000000e+00, 7.142857e-02, 1.000000e+00
3181, 0.000000e+00, 1.428571e-01, 1.000000e+00
3182, 7.142857e-02, 1.428571e-01, 1.000000e+00
3183, 1.428571e-01, 1.428571e-01, 1.000000e+00
3184, 2.142857e-01, 1.428571e-01, 1.000000e+00
3185, 2.857143e-01, 1.428571e-01, 1.000000e+00
3186, 3.571429e-01, 1.428571e-01, 1.000000e+00
3187, 4.285714e-01, 1.428571e-01, 1.000000e+00
3188, 5.000000e-01, 1.428571e-01, 1.000000e+00
3189, 5.714286e-01, 1.428571e-01, 1.000000e+00
3190, 6.428571e-01, 1.428571e-01, 1.000000e+00
3191, 7.142857e-01, 1.428571e-01, 1.000000e+00
3192, 7.857143e-01, 1.428571e-01, 1.000000e+00
3193, 8.571429e-01, 1.428571e-01, 1.000000e+00
3194, 9.285714e-01, 1.428571e-01, 1.000000e+00
3195, 1.000000e+00, 1.428571e-01, 1.000000e+00
3196, 0.000000e+00, 2.142857e-01, 1.000000e+00
3197, 7.142857e-02, 2.142857e-01, 1.000000e+00
3198, 1.428571e-01, 2.142857e-01, 1.000000e+00
3199, 2.142857e-01, 2.142857e-01, 1.000000e+00
3200, 2.857143e-01, 2.142857e-01, 1.000000e+00
3201, 3.571429e-01, 2.142857e-01, 1.000000e+00
3202, 4.285714e-01, 2.142857e-01, 1.000000e+00
3203, 5.000000e-01, 2.142857e-01, 1.000000e+00
3204, 5.714286e-01, 2.142857e-01, 1.000000e+00
3205, 6.428571e-01, 2.142857e-01, 1.000000e+00
3206, 7.142857e-01, 2.142857e-01, 1.000000e+00
3207, 7.857143e-01, 2.142857e-01, 1.000000e+00
3208, 8.571429e-01, 2.142857e-01, 1.000000e+00
3209, 9.285714e-01, 2.142857e-01, 1.000000e+00
3210, 1.000000e+00, 2.142857e-01, 1.000000e+00
3211, 0.000000e+00, 2.857143e-01, 1.000000e+00
3212, 7.142857e-02, 2.857143e-01, 1.000000e+00
3213, 1.428571e-01, 2.857143e-01, 1.000000e+00
3214, 2.142857e-01, 2.857143e-01, 1.000000e+00
3215, 2.857143e-01, 2.857143e-01, 1.000000e+00
3216, 3.571429e-01, 2.857143e-01, 1.000000e+00
3217, 4.285714e-01, 2.857143e-01, 1.000000e+00
3218, 5.000000e-01, 2.857143e-01, 1.000000e+00
3219, 5.714286e-01, 2.857143e-01, 1.000000e+00
3220, 6.428571e-01, 2.857143e-01, 1.000000e+00
3221, 7.142857e-01, 2.857143e-01, 1.000000e+00
3222, 7.857143e-01, 2.857143e-01, 1.000000e+00
3223, 8.571429e-01, 2.857143e-01, 1.000000e+00
3224, 9.285714e-01, 2.857143e-01, 1.000000e+00
3225, 1.000000e+00, 2.857143e-01, 1.000000e+00
3226, 0.000000e+00, 3.571429e-01, 1.000000e+00
3227, 7.142857e-02, 3.571429e-01, 1.000000e+00
3228, 1.428571e-01, 3.571429e-01, 1.000000e+00
3229, 2.142857e-01, 3.571429e-01, 1.000000e+00
3230, 2.857143e-01, 3.571429e-01, 1.000000e+00
3231, 3.571429e-01, 3.571429e-01, 1.000000e+00
3232, 4.285714e-01, 3.571429e-01, 1.000000e+00
3233, 5.000000e-01, 3.571429e-01, 1.000000e+00
3234, 5.714286e-01, 3.571429e-01, 1.000000e+00
3235, 6.428571e-01, 3.571429e-01, 1.000000e+00
3236, 7.142857e-01, 3.571429e-01, 1.000000e+00
3237, 7.857143e-01, 3.571429e-01, 1.000000e+00
3238, 8.571429e-01, 3.571429e-01, 1.000000e+00
3239, 9.285714e-01, 3.571429e-01, 1.000000e+00
3240, 1.000000e+00, 3.571429e-01, 1.000000e+00
3241, 0.000000e+00, 4.285714e-01, 1.000000e+00
3242, 7.142857e-02, 4.285714e-01, 1.000000e+00
3243, 1.428571e-01, 4.285714e-01, 1.000000e+00
3244, 2.142857e-01, 4.285714e-01, 1.000000e+00
3245, 2.857143e-01, 4.285714e-01, 1.000000e+00
3246, 3.571429e-01, 4.285714e-01, 1.000000e+00
3247, 4.285714e-01, 4.285714e-01, 1.000000e+00
3248, 5.000000e-01, 4.285714e-01, 1.000000e+00
3249, 5.714286e-01, 4.285714e-01, 1.000000e+00
3250, 6.428571e-01, 4.285714e-01, 1.000000e+00
3251, 7.142857e-01, 4.285714e-01, 1.000000e+00
3252, 7.857143e-01, 4.285714e-01, 1.000000e+00
3253, 8.571429e-01, 4.285714e-01, 1.000000e+00
3254, 9.285714e-01, 4.285714e-01, 1.000000e+00
3255, 1.000000e+00, 4.285714e-01, 1.000000e+00
3256, 0.000000e+00, 5.000000e-01, 1.000000e+00
3257, 7.142857e-02, 5.000000e-01, 1.000000e+00
3258, 1.428571e-01, 5.000000e-01, 1.000000e+00
3259, 2.142857e-01, 5.000000e-01, 1.000000e+00
3260, 2.857143e-01, 5.000000e-01, 1.000000e+00
3261, 3.571429e-01, 5.000000e-01, 1.000000e+00
3262, 4.285714e-01, 5.000000e-01, 1.000000e+00
3263, 5.000000e-01, 5.000000e-01, 1.000000e+00
3264, 5.714286e-01, 5.000000e-01, 1.000000e+00
3265, 6.428571e-01, 5.000000e-01, 1.000000e+00
3266, 7.142857e-01, 5.000000e-01, 1.000000e+00
3267, 7.857143e-01, 5.000000e-01, 1.000000e+00
3268, 8.571429e-01, 5.000000e-01, 1.000000e+00
3269, 9.285714e-01, 5.000000e-01, 1.000000e+00
3270, 1.000000e+00, 5.000000e-01, 1.000000e+00
3271, 0.000000e+00, 5.714286e-01, 1.000000e+00
3272, 7.142857e-02, 5.714286e-01, 1.000000e+00
3273, 1.428571e-01, 5.714286e-01, 1.000000e+00
3274, 2.142857e-01, 5.714286e-01, 1.000000e+00
3275, 2.857143e-01, 5.714286e-01, 1.000000e+00
3276, 3.571429e-01, 5.714286e-01, 1.000000e+00
3277, 4.285714e-01, 5.714286e-01, 1.000000e+00
3278, 5.000000e-01, 5.714286e-01, 1.000000e+00
3279, 5.714286e-01, 5.714286e-01, 1.000000e+00
3280, 6.428571e-01, 5.714286e-01, 1.000000e+00
3281, 7.142857e-01, 5.714286e-01, 1.000000e+00
3282, 7.857143e-01, 5.714286e-01, 1.000000e+00
3283, 8.571429e-01, 5.714286e-01, 1.000000e+00
3284, 9.285714e-01, 5.714286e-01, 1.000000e+00
3285, 1.000000e+00, 5.714286e-01, 1.000000e+00
3286, 0.000000e+00, 6.428571e-01, 1.000000e+00
3287, 7.142857e-02, 6.428571e-01, 1.000000e+00
3288, 1.428571e-01, 6.428571e-01, 1.000000e+00
3289, 2.142857e-01, 6.428571e-01, 1.000000e+00
3290, 2.857143e-01, 6.428571e-01, 1.000000e+00
3291, 3.571429e-01, 6.428571e-01, 1.000000e+00
3292, 4.285714e-01, 6.428571e-01, 1.000000e+00
3293, 5.000000e-01, 6.428571e-01, 1.000000e+00
3294, 5.714286e-01, 6.428571e-01, 1.000000e+00
3295, 6.428571e-01, 6.428571e-01, 1.000000e+00
3296, 7.142857e-01, 6.428571e-01, 1.000000e+00
3297, 7.857143e-01, 6.428571e-01, 1.000000e+00
3298, 8.571429e-01, 6.428571e-01, 1.000000e+00
3299, 9.285714e-01, 6.428571e-01, 1.000000e+00
3300, 1.000000e+00, 6.428571e-01, 1.000000e+00
3301, 0.000000e+00, 7.142857e-01, 1.000000e+00
3302, 7.142857e-02, 7.142857e-01, 1.000000e+00
3303, 1.428571e-01, 7.142857e-01, 1.000000e+00
3304, 2.142857e-01, 7.142857e-01, 1.000000e+00
3305, 2.857143e-01, 7.142857e-01, 1.000000e+00
3306, 3.571429e-01, 7.142857e-01, 1.000000e+00
3307, 4.285714e-01, 7.142857e-01, 1.000000e+00
3308, 5.000000e-01, 7.142857e-01, 1.000000e+00
3309, 5.714286e-01, 7.142857e-01, 1.000000e+00
3310, 6.428571e-01, 7.142857e-01, 1.000000e+00
3311, 7.142857e-01, 7.142857e-01, 1.000000e+00
3312, 7.857143e-01, 7.142857e-01, 1.000000e+00
3313, 8.571429e-01, 7.142857e-01, 1.000000e+00
3314, 9.285714e-01, 7.142857e-01, 1.000000e+00
3315, 1.000000e+00, 7.142857e-01, 1.000000e+00
3316, 0.000000e+00, 7.857143e-01, 1.000000e+00
3317, 7.142857e-02, 7.857143e-01, 1.000000e+00
3318, 1.428571e-01, 7.857143e-01, 1.000000e+00
3319, 2.142857e-01, 7.857143e-01, 1.000000e+00
3320, 2.857143e-01, 7.857143e-01, 1.000000e+00
3321, 3.571429e-01, 7.857143e-01, 1.000000e+00
3322, 4.285714e-01, 7.857143e-01, 1.000000e+00
3323, 5.000000e-01, 7.857143e-01, 1.000000e+00
3324, 5.714286e-01, 7.857143e-01, 1.000000e+00
3325, 6.428571e-01, 7.857143e-01, 1.000000e+00
3326, 7.142857e-01, 7.857143e-01, 1.000000e+00
3327, 7.857143e-01, 7.857143e-01, 1.000000e+00
3328, 8.571429e-01, 7.857143e-01, 1.000000e+00
3329, 9.285714e-01, 7.857143e-01, 1.000000e+00
3330, 1.000000e+00, 7.857143e-01, 1.000000e+00
3331, 0.000000e+00, 8.571429e-01, 1.000000e+00
3332, 7.142857e-02, 8.571429e-01, 1.000000e+00
3333, 1.428571e-01, 8.571429e-01, 1.000000e+00
3334, 2.142857e-01, 8.571429e-01, 1.000000e+00
3335, 2.857143e-01, 8.571429e-01, 1.000000e+00
3336, 3.571429e-01, 8.571429e-01, 1.000000e+00
3337, 4.285714e-01, 8.571429e-01, 1.000000e+00
3338, 5.000000e-01, 8.571429e-01, 1.000000e+00
3339, 5.714286e-01, 8.571429e-01, 1.000000e+00
3340, 6.428571e-01, 8.571429e-01, 1.000000e+00
3341, 7.142857e-01, 8.571429e-01, 1.000000e+00
3342, 7.857143e-01, 8.571429e-01, 1.000000e+00
3343, 8.571429e-01, 8.571429e-01, 1.000000e+00
3344, 9.285714e-01, 8.571429e-01, 1.000000e+00
3345, 1.000000e+00, 8.571429e-01, 1.000000e+00
3346, 0.000000e+00, 9.285714e-01, 1.000000e+00
3347, 7.142857e-02, 9.285714e-01, 1.000000e+00
3348, 1.428571e-01, 9.285714e-01, 1.000000e+00
3349, 2.142857e-01, 9.285714e-01, 1.000000e+00
3350, 2.857143e-01, 9.285714e-01, 1.000000e+00
3351, 3.571429e-01, 9.285714e-01, 1.000000e+00
3352, 4.285714e-01, 9.285714e-01, 1.000000e+00
3353, 5.000000e-01, 9.285714e-01, 1.000000e+00
3354, 5.714286e-01, 9.285714e-01, 1.000000e+00
3355, 6.428571e-01, 9.285714e-01, 1.000000e+00
3356, 7.142857e-01, 9.285714e-01, 1.000000e+00
3357, 7.857143e-01, 9.285714e-01, 1.000000e+00
3358, 8.571429e-01, 9.285714e-01, 1.000000e+00
3359, 9.285714e-01, 9.285714e-01, 1.000000e+00
3360, 1.000000e+00, 9.285714e-01, 1.000000e+00
3361, 0.000000e+00, 1.000000e+00, 1.000000e+00
3362, 7.142857e-02, 1.000000e+00, 1.000000e+00
3363, 1.428571e-01, 1.000000e+00, 1.000000e+00
3364, 2.142857e-01, 1.000000e+00, 1.000000e+00
3365, 2.857143e-01, 1.000000e+00, 1.000000e+00
3366, 3.571429e-01, 1.000000e+00, 1.000000e+00
3367, 4.285714e-01, 1.000000e+00, 1.000000e+00
3368, 5.000000e-01, 1.000000e+00, 1.000000e+00
3369, 5.714286e-01, 1.000000e+00, 1.000000e+00
3370, 6.428571e-01, 1.000000e+00, 1.000000e+00
3371, 7.142857e-01, 1.000000e+00, 1.000000e+00
3372, 7.857143e-01, 1.000000e+00, 1.000000e+00
3373, 8.571429e-01, 1.000000e+00, 1.000000e+00
3374, 9.285714e-01, 1.000000e+00, 1.000000e+00
3375, 1.000000e+00, 1.000000e+00, 1.000000e+00
*Element, type=C3D8
1, 1, 2, 17, 16, 226, 227, 242, 241
2, 2, 3, 18, 17, 227, 228, 243, 242
3, 3, 4, 19, 18, 228, 229, 244, 243
4, 4, 5, 20, 19, 229, 230, 245, 244
5, 5, 6, 21, 20, 230, 231, 246, 245
6, 6, 7, 22, 21, 231, 232, 247, 246
7, 7, 8, 23, 22, 232, 233, 248, 247
8, 8, 9, 24, 23, 233, 234, 249, 248
9, 9, 10, 25, 24, 234, 235, 250, 249
10, 10, 11, 26, 25, 235, 236, 251, 250
11, 11, 12, 27, 26, 236, 237, 252, 251
12, 12, 13, 28, 27, 237, 238, 253, 252
13, 13, 14, 29, 28, 238, 239, 254, 253
14, 14, 15, 30, 29, 239, 240, 255, 254
15, 16, 17, 32, 31, 241, 242, 257, 256
16, 17, 18, 33, 32, 242, 243, 258, 257
17, 18, 19, 34, 33, 243, 244, 259, 258
18, 19, 20, 35, 34, 244, 245, 260, 259
19, 20, 21, 36, 35, 245, 246, 261, 260
20, 21, 22, 37, 36, 246, 247, 262, 261
21, 22, 23, 38, 37, 247, 248, 263, 262
22, 23, 24, 39, 38, 248, 249, 264, 263
23, 24, 25, 40, 39, 249, 250, 265, 264
24, 25, 26, 41, 40, 250, 251, 266, 265
25, 26, 27, 42, 41, 251, 252, 267, 266
26, 27, 28, 43, 42, 252, 253, 268, 267
27, 28, 29, 44, 43, 253, 254, 269, 268
28, 29, 30, 45, 44, 254, 255, 270, 269
29, 31, 32, 47, 46, 256, 257, 272, 271
30, 32, 33, 48, 47, 257, 258, 273, 272
31, 33, 34, 49, 48, 258, 259, 274, 273
32, 34, 35, 50, 49, 259, 260, 275, 274
33, 35, 36, 51, 50, 260, 261, 276, 275
34, 36, 37, 52, 51, 261, 262, 277, 276
35, 37, 38, 53, 52, 262, 263, 278, 277
36, 38, 39, 54, 53, 263, 264, 279, 278
37, 39, 40, 55, 54, 264, 265, 280, 279
38, 40, 41, 56, 55, 265, 266, 281, 280
39, 41, 42, 57, 56, 266, 267, 282, 281
40, 42, 43, 58, 57, 267, 268, 283, 282
41, 43, 44, 59, 58, 268, 269, 284, 283
42, 44, 45, 60, 59, 269, 270, 285, 284
43, 46, 47, 62, 61, 271, 272, 287, 286
44, 47, 48, 63, 62, 272, 273, 288, 287
45, 48, 49, 64, 63, 273, 274, 289, 288
46, 49, 50, 65, 64, 274, 275, 290, 289
47, 50, 51, 66, 65, 275, 276, 291, 290
48, 51, 52, 67, 66, 276, 277, 292, 291
49, 52, 53, 68, 67, 277, 278, 293, 292
50, 53, 54, 69, 68, 278, 279, 294, 293
51, 54, 55, 70, 69, 279, 280, 295, 294
52, 55, 56, 71, 70, 280, 281, 296, 295
53, 56, 57, 72, 71, 281, 282, 297, 296
54, 57, 58, 73, 72, 282, 283, 298, 297
55, 58, 59, 74, 73, 283, 284, 299, 298
56, 59, 60, 75, 74, 284, 285, 300, 299
57, 61, 62, 77, 76, 286, 287, 302, 301
58, 62, 63, 78, 77, 287, 288, 303, 302
59, 63, 64, 79, 78, 288, 289, 304, 303
60, 64, 65, 80, 79, 289, 290, 305, 304
61, 65, 66, 81, 80, 290, 291, 306, 305
62, 66, 67, 82, 81, 291, 292, 307, 306
63, 67, 68, 83, 82, 292, 293, 308, 307
64, 68, 69, 84, 83, 293, 294, 309, 308
65, 69, 70, 85, 84, 294, 295, 310, 309
66, 70, 71, 86, 85, 295, 296, 311, 310
67, 71, 72, 87, 86, 296, 297, 312, 311
68, 72, 73, 88, 87, 297, 298, 313, 312
69, 73, 74, 89, 88, 298, 299, 314, 313
70, 74, 75, 90, 89, 299, 300, 315, 314
71, 76, 77, 92, 91, 301, 302, 317, 316
72, 77, 78, 93, 92, 302, 303, 318, 317
73, 78, 79, 94, 93, 303, 304, 319, 318
74, 79, 80, 95, 94, 304, 305, 320, 319
75, 80, 81, 96, 95, 305, 306, 321, 320
76, 81, 82, 97, 96, 306, 307, 322, 321
77, 82, 83, 98, 97, 307, 308, 323, 322
78, 83, 84, 99, 98, 308, 309, 324, 323
79, 84, 85, 100, 99, 309, 310, 325, 324
80, 85, 86, 101, 100, 310, 311, 326, 325
81, 86, 87, 102, 101, 311, 312, 327, 326
82, 87, 88, 103, 102, 312, 313, 328, 327
83, 88, 89, 104, 103, 313, 314, 329, 328
84, 89, 90, 105, 104, 314, 315, 330, 329
85, 91, 92, 107, 106, 316, 317, 332, 331
86, 92, 93, 108, 107, 317, 318, 333, 332
87, 93, 94, 109, 108, 318, 319, 334, 333
88, 94, 95, 110, 109, 319, 320, 335, 334
89, 95, 96, 111, 110, 320, 321, 336, 335
90, 96, 97, 112, 111, 321, 322, 337, 336
91, 97, 98, 113, 112, 322, 323, 338, 337
92, 98, 99, 114, 113, 323, 324, 339, 338
93, 99, 100, 115, 114, 324, 325, 340, 339
94, 100, 101, 116, 115, 325, 326, 341, 340
95, 101, 102, 117, 116, 326, 327, 342, 341
96, 102, 103, 118, 117, 327, 328, 343, 342
97, 103, 104, 119, 118, 328, 329, 344, 343
98, 104, 105, 120, 119, 329, 330, 345, 344
99, 106, 107, 122, 121, 331, 332, 347, 346
100, 107, 108, 123, 122, 332, 333, 348, 347
101, 108, 109, 124, 123, 333, 334, 349, 348
102, 109, 110, 125, 124, 334, 335, 350, 349
103, 110, 111, 126, 125, 335, 336, 351, 350
104, 111, 112, 127, 126, 336, 337, 352, 351
105, 112, 113, 128, 127, 337, 338, 353, 352
106, 113, 114, 129, 128, 338, 339, 354, 353
107, 114, 115, 130, 129, 339, 340, 355, 354
108, 115, 116, 131, 130, 340, 341, 356, 355
109, 116, 117, 132, 131, 341, 342, 357, 356
110, 117, 118, 133, 132, 342, 343, 358, 357
111, 118, 119, 134, 133, 343, 344, 359, 358
112, 119, 120, 135, 134, 344, 345, 360, 359
113, 121, 122, 137, 136, 346, 347, 362, 361
114, 122, 123, 138, 137, 347, 348, 363, 362
115, 123, 124, 139, 138, 348, 349, 364, 363
116, 124, 125, 140, 139, 349, 350, 365, 364
117, 125, 126, 141, 140, 350, 351, 366, 365
118, 126, 127, 142, 141, 351, 352, 367, 366
119, 127, 128, 143, 142, 352, 353, 368, 367
120, 128, 129, 144, 143, 353, 354, 369, 368
121, 129, 130, 145, 144, 354, 355, 370, 369
122, 130, 131, 146, 145, 355, 356, 371, 370
123, 131, 132, 147, 146, 356, 357, 372, 371
124, 132, 133, 148, 147, 357, 358, 373, 372
125, 133, 134, 149, 148, 358, 359, 374, 373
126, 134, 135, 150, 149, 359, 360, 375, 374
127, 136, 137, 152, 151, 361, 362, 377, 376
128, 137, 138, 153, 152, 362, 363, 378, 377
129, 138, 139, 154, 153, 363, 364, 379, 378
130, 139, 140, 155, 154, 364, 365, 380, 379
131, 140, 141, 156, 155, 365, 366, 381, 380
132, 141, 142, 157, 156, 366, 367, 382, 381
133, 142, 143, 158, 157, 367, 368, 383, 382
134, 143, 144, 159, 158, 368, 369, 384, 383
135, 144, 145, 160, 159, 369, 370, 385, 384
136, 145, 146, 161, 160, 370, 371, 386, 385
137, 146, 147, 162, 161, 371, 372, 387, 386
138, 147, 148, 163, 162, 372, 373, 388, 387
139, 148, 149, 164, 163, 373, 374, 389, 388
140, 149, 150, 165, 164, 374, 375, 390, 389
141, 151, 152, 167, 166, 376, 377, 392, 391
142, 152, 153, 168, 167, 377, 378, 393, 392
143, 153, 154, 169, 168, 378, 379, 394, 393
144, 154, 155, 170, 169, 379, 380, 395, 394
145, 155, 156, 171, 170, 380, 381, 396, 395
146, 156, 157, 172, 171, 381, 382, 397, 396
147, 157, 158, 173, 172, 382, 383, 398, 397
148, 158, 159, 174, 173, 383, 384, 399, 398
149, 159, 160, 175, 174, 384, 385, 400, 399
150, 160, 161, 176, 175, 385, 386, 401, 400
151, 161, 162, 177, 176, 386, 387, 402, 401
152, 162, 163, 178, 177, 387, 388, 403, 402
153, 163, 164, 179, 178, 388, 389, 404, 403
154, 164, 165, 180, 179, 389, 390, 405, 404
155, 166, 167, 182, 181, 391, 392, 407, 406
156, 167, 168, 183, 182, 392, 393, 408, 407
157, 168, 169, 184, 183, 393, 394, 409, 408
158, 169, 170, 185, 184, 394, 395, 410, 409
159, 170, 171, 186, 185, 395, 396, 411, 410
160, 171, 172, 187, 186, 396, 397, 412, 411
161, 172, 173, 188, 187, 397, 398, 413, 412
162, 173, 174, 189, 188, 398, 399, 414, 413
163, 174, 175, 190, 189, 399, 400, 415, 414
164, 175, 176, 191, 190, 400, 401, 416, 415
165, 176, 177, 192, 191, 401, 402, 417, 416
166, 177, 178, 193, 192, 402, 403, 418, 417
167, 178, 179, 194, 193, 403, 404, 419, 418
168, 179, 180, 195, 194, 404, 405, 420, 419
169, 181, 182, 197, 196, 406, 407, 422, 421
170, 182, 183, 198, 197, 407, 408, 423, 422
171, 183, 184, 199, 198, 408, 409, 424, 423
172, 184, 185, 200, 199, 409, 410, 425, 424
173, 185, 186, 201, 200, 410, 411, 426, 425
174, 186, 187, 202, 201, 411, 412, 427, 426
175, 187, 188, 203, 202, 412, 413, 428, 427
176, 188, 189, 204, 203, 413, 414, 429, 428
177, 189, 190, 205, 204, 414, 415, 430, 429
178, 190, 191, 206, 205, 415, 416, 431, 430
179, 191, 192, 207, 206, 416, 417, 432, 431
180, 192, 193, 208, 207, 417, 418, 433, 432
181, 193, 194, 209, 208, 418, 419, 434, 433
182, 194, 195, 210, 209, 419, 420, 435, 434
183, 196, 197, 212, 211, 421, 422, 437, 436
184, 197, 198, 213, 212, 422, 423, 438, 437
185, 198, 199, 214, 213, 423, 424, 439, 438
186, 199, 200, 215, 214, 424, 425, 440, 439
187, 200, 201, 216, 215, 425, 426, 441, 440
188, 201, 202, 217, 216, 426, 427, 442, 441
189, 202, 203, 218, 217, 427, 428, 443, 442
190, 203, 204, 219, 218, 428, 429, 444, 443
191, 204, 205, 220, 219, 429, 430, 445, 444
192, 205, 206, 221, 220, 430, 431, 446, 445
193, 206, 207, 222, 221, 431, 432, 447, 446
194, 207, 208, 223, 222, 432, 433, 448, 447
195, 208, 209, 224, 223, 433, 434, 449, 448
196, 209, 210, 225, 224, 434, 435, 450, 449
197, 226, 227, 242, 241, 451, 452, 467, 466
198, 227, 228, 243, 242, 452, 453, 468, 467
199, 228, 229, 244, 243, 453, 454, 469, 468
200, 229, 230, 245, 244, 454, 455, 470, 469
201, 230, 231, 246, 245, 455, 456, 471, 470
202, 231, 232, 247, 246, 456, 457, 472, 471
203, 232, 233, 248, 247, 457, 458, 473, 472
204, 233, 234, 249, 248, 458, 459, 474, 473
205, 234, 235, 250, 249, 459, 460, 475, 474
206, 235, 236, 251, 250, 460, 461, 476, 475
207, 236, 237, 252, 251, 461, 462, 477, 476
208, 237, 238, 253, 252, 462, 463, 478, 477
209, 238, 239, 254, 253, 463, 464, 479, 478
210, 239, 240, 255, 254, 464, 465, 480, 479
211, 241, 242, 257, 256, 466, 467, 482, 481
212, 242, 243, 258, 257, 467, 468, 483, 482
213, 243, 244, 259, 258, 468, 469, 484, 483
214, 244, 245, 260, 259, 469, 470, 485, 484
215, 245, 246, 261, 260, 470, 471, 486, 485
216, 246, 247, 262, 261, 471, 472, 487, 486
217, 247, 248, 263, 262, 472, 473, 488, 487
218, 248, 249, 264, 263, 473, 474, 489, 488
219, 249, 250, 265, 264, 474, 475, 490, 489
220, 250, 251, 266, 265, 475, 476, 491, 490
221, 251, 252, 267, 266, 476, 477, 492, 491
222, 252, 253, 268, 267, 477, 478, 493, 492
223, 253, 254, 269, 268, 478, 479, 494, 493
224, 254, 255, 270, 269, 479, 480, 495, 494
225, 256, 257, 272, 271, 481, 482, 497, 496
226, 257, 258, 273, 272, 482, 483, 498, 497
227, 258, 259, 274, 273, 483, 484, 499, 498
228, 259, 260, 275, 274, 484, 485, 500, 499
229, 260, 261, 276, 275, 485, 486, 501, 500
230, 261, 262, 277, 276, 486, 487, 502, 501
231, 262, 263, 278, 277, 487, 488, 503, 502
232, 263, 264, 279, 278, 488, 489, 504, 503
233, 264, 265, 280, 279, 489, 490, 505, 504
234, 265, 266, 281, 280, 490, 491, 506, 505
235, 266, 267, 282, 281, 491, 492, 507, 506
236, 267, 268, 283, 282, 492, 493, 508, 507
237, 268, 269, 284, 283, 493, 494, 509, 508
238, 269, 270, 285, 284, 494, 495, 510, 509
239, 271, 272, 287, 286, 496, 497, 512, 511
240, 272, 273, 288, 287, 497, 498, 513, 512
241, 273, 274, 289, 288, 498, 499, 514, 513
242, 274, 275, 290, 289, 499, 500, 515, 514
243, 275, 276, 291, 290, 500, 501, 516, 515
244, 276, 277, 292, 291, 501, 502, 517, 516
245, 277, 278, 293, 292, 502, 503, 518, 517
246, 278, 279, 294, 293, 503, 504, 519, 518
247, 279, 280, 295, 294, 504, 505, 520, 519
248, 280, 281, 296, 295, 505, 506, 521, 520
249, 281, 282, 297, 296, 506, 507, 522, 521
250, 282, 283, 298, 297, 507, 508, 523, 522
251, 283, 284, 299, 298, 508, 509, 524, 523
252, 284, 285, 300, 299, 509, 510, 525, 524
253, 286, 287, 302, 301, 511, 512, 527, 526
254, 287, 288, 303, 302, 512, 513, 528, 527
255, 288, 289, 304, 303, 513, 514, 529, 528
256, 289, 290, 305, 304, 514, 515, 530, 529
257, 290, 291, 306, 305, 515, 516, 531, 530
258, 291, 292, 307, 306, 516, 517, 532, 531
259, 292, 293, 308, 307, 517, 518, 533, 532
260, 293, 294, 309, 308, 518, 519, 534, 533
261, 294, 295, 310, 309, 519, 520, 535, 534
262, 295, 296, 311, 310, 520, 521, 536, 535
263, 296, 297, 312, 311, 521, 522, 537, 536
264, 297, 298, 313, 312, 522, 523, 538, 537
265, 298, 299, 314, 313, 523, 524, 539, 538
266, 299, 300, 315, 314, 524, 525, 540, 539
267, 301, 302, 317, 316, 526, 527, 542, 541
268, 302, 303, 318, 317, 527, 528, 543, 542
269, 303, 304, 319, 318, 528, 529, 544, 543
270, 304, 305, 320, 319, 529, 530, 545, 544
271, 305, 306, 321, 320, 530, 531, 546, 545
272, 306, 307, 322, 321, 531, 532, 547, 546
273, 307, 308, 323, 322, 532, 533, 548, 547
274, 308, 309, 324, 323, 533, 534, 549, 548
275, 309, 310, 325, 324, 534, 535, 550, 549
276, 310, 311, 326, 325, 535, 536, 551, 550
277, 311, 312, 327, 326, 536, 537, 552, 551
278, 312, 313, 328, 327, 537, 538, 553, 552
279, 313, 314, 329, 328, 538, 539, 554, 553
280, 314, 315, 330, 329, 539, 540, 555, 554
281, 316, 317, 332, 331, 541, 542, 557, 556
282, 317, 318, 333, 332, 542, 543, 558, 557
283, 318, 319, 334, 333, 543, 544, 559, 558
284, 319, 320, 335, 334, 544, 545, 560, 559
285, 320, 321, 336, 335, 545, 546, 561, 560
286, 321, 322, 337, 336, 546, 547, 562, 561
287, 322, 323, 338, 337, 547, 548, 563, 562
288, 323, 324, 339, 338, 548, 549, 564, 563
289, 324, 325, 340, 339, 549, 550, 565, 564
290, 325, 326, 341, 340, 550, 551, 566, 565
291, 326, 327, 342, 341, 551, 552, 567, 566
292, 327, 328, 343, 342, 552, 553, 568, 567
293, 328, 329, 344, 343, 553, 554, 569, 568
294, 329, 330, 345, 344, 554, 555, 570, 569
295, 331, 332, 347, 346, 556, 557, 572, 571
296, 332, 333, 348, 347, 557, 558, 573, 572
297, 333, 334, 349, 348, 558, 559, 574, 573
298, 334, 335, 350, 349, 559, 560, 575, 574
299, 335, 336, 351, 350, 560, 561, 576, 575
300, 336, 337, 352, 351, 561, 562, 577, 576
301, 337, 338, 353, 352, 562, 563, 578, 577
302, 338, 339, 354, 353, 563, 564, 579, 578
303, 339, 340, 355, 354, 564, 565, 580, 579
304, 340, 341, 356, 355, 565, 566, 581, 580
305, 341, 342, 357, 356, 566, 567, 582, 581
306, 342, 343, 358, 357, 567, 568, 583, 582
307, 343, 344, 359, 358, 568, 569, 584, 583
308, 344, 345, 360, 359, 569, 570, 585, 584
309, 346, 347, 362, 361, 571, 572, 587, 586
310, 347, 348, 363, 362, 572, 573, 588, 587
311, 348, 349, 364, 363, 573, 574, 589, 588
312, 349, 350, 365, 364, 574, 575, 590, 589
313, 350, 351, 366, 365, 575, 576, 591, 590
314, 351, 352, 367, 366, 576, 577, 592, 591
315, 352, 353, 368, 367, 577, 578, 593, 592
316, 353, 354, 369, 368, 578, 579, 594, 593
317, 354, 355, 370, 369, 579, 580, 595, 594
318, 355, 356, 371, 370, 580, 581, 596, 595
319, 356, 357, 372, 371, 581, 582, 597, 596
320, 357, 358, 373, 372, 582, 583, 598, 597
321, 358, 359, 374, 373, 583, 584, 599, 598
322, 359, 360, 375, 374, 584, 585, 600, 599
323, 361, 362, 377, 376, 586, 587, 602, 601
324, 362, 363, 378, 377, 587, 588, 603, 602
325, 363, 364, 379, 378, 588, 589, 604, 603
326, 364, 365, 380, 379, 589, 590, 605, 604
327, 365, 366, 381, 380, 590, 591, 606, 605
328, 366, 367, 382, 381, 591, 592, 607, 606
329, 367, 368, 383, 382, 592, 593, 608, 607
330, 368, 369, 384, 383, 593, 594, 609, 608
331, 369, 370, 385, 384, 594, 595, 610, 609
332, 370, 371, 386, 385, 595, 596, 611, 610
333, 371, 372, 387, 386, 596, 597, 612, 611
334, 372, 373, 388, 387, 597, 598, 613, 612
335, 373, 374, 389, 388, 598, 599, 614, 613
336, 374, 375, 390, 389, 599, 600, 615, 614
337, 376, 377, 392, 391, 601, 602, 617, 616
338, 377, 378, 393, 392, 602, 603, 618, 617
339, 378, 379, 394, 393, 603, 604, 619, 618
340, 379, 380, 395, 394, 604, 605, 620, 619
341, 380, 381, 396, 395, 605, 606, 621, 620
342, 381, 382, 397, 396, 606, 607, 622, 621
343, 382, 383, 398, 397, 607, 608, 623, 622
344, 383, 384, 399, 398, 608, 609, 624, 623
345, 384, 385, 400, 399, 609, 610, 625, 624
346, 385, 386, 401, 400, 610, 611, 626, 625
347, 386, 387, 402, 401, 611, 612, 627, 626
348, 387, 388, 403, 402, 612, 613, 628, 627
349, 388, 389, 404, 403, 613, 614, 629, 628
350, 389, 390, 405, 404, 614, 615, 630, 629
351, 391, 392, 407, 406, 616, 617, 632, 631
352, 392, 393, 408, 407, 617, 618, 633, 632
353, 393, 394, 409, 408, 618, 619, 634, 633
354, 394, 395, 410, 409, 619, 620, 635, 634
355, 395, 396, 411, 410, 620, 621, 636, 635
356, 396, 397, 412, 411, 621, 622, 637, 636
357, 397, 398, 413, 412, 622, 623, 638, 637
358, 398, 399, 414, 413, 623, 624, 639, 638
359, 399, 400, 415, 414, 624, 625, 640, 639
360, 400, 401, 416, 415, 625, 626, 641, 640
361, 401, 402, 417, 416, 626, 627, 642, 641
362, 402, 403, 418, 417, 627, 628, 643, 642
363, 403, 404, 419, 418, 628, 629, 644, 643
364, 404, 405, 420, 419, 629, 630, 645, 644
365, 406, 407, 422, 421, 631, 632, 647, 646
366, 407, 408, 423, 422, 632, 633, 648, 647
367, 408, 409, 424, 423, 633, 634, 649, 648
368, 409, 410, 425, 424, 634, 635, 650, 649
369, 410, 411, 426, 425, 635, 636, 651, 650
370, 411, 412, 427, 426, 636, 637, 652, 651
371, 412, 413, 428, 427, 637, 638, 653, 652
372, 413, 414, 429, 428, 638, 639, 654, 653
373, 414, 415, 430, 429, 639, 640, 655, 654
374, 415, 416, 431, 430, 640, 641, 656, 655
375, 416, 417, 432, 431, 641, 642, 657, 656
376, 417, 418, 433, 432, 642, 643, 658, 657
377, 418, 419, 434, 433, 643, 644, 659, 658
378, 419, 420, 435, 434, 644, 645, 660, 659
379, 421, 422, 437, 436, 646, 647, 662, 661
380, 422, 423, 438, 437, 647, 648, 663, 662
381, 423, 424, 439, 438, 648, 649, 664, 663
382, 424, 425, 440, 439, 649, 650, 665, 664
383, 425, 426, 441, 440, 650, 651, 666, 665
384, 426, 427, 442, 441, 651, 652, 667, 666
385, 427, 428, 443, 442, 652, 653, 668, 667
386, 428, 429, 444, 443, 653, 654, 669, 668
387, 429, 430, 445, 444, 654, 655, 670, 669
388, 430, 431, 446, 445, 655, 656, 671, 670
389, 431, 432, 447, 446, 656, 657, 672, 671
390, 432, 433, 448, 447, 657, 658, 673, 672
391, 433, 434, 449, 448, 658, 659, 674, 673
392, 434, 435, 450, 449, 659, 660, 675, 674
393, 451, 452, 467, 466, 676, 677, 692, 691
394, 452, 453, 468, 467, 677, 678, 693, 692
395, 453, 454, 469, 468, 678, 679, 694, 693
396, 454, 455, 470, 469, 679, 680, 695, 694
397, 455, 456, 471, 470, 680, 681, 696, 695
398, 456, 457, 472, 471, 681, 682, 697, 696
399, 457, 458, 473, 472, 682, 683, 698, 697
400, 458, 459, 474, 473, 683, 684, 699, 698
401, 459, 460, 475, 474, 684, 685, 700, 699
402, 460, 461, 476, 475, 685, 686, 701, 700
403, 461, 462, 477, 476, 686, 687, 702, 701
404, 462, 463, 478, 477, 687, 688, 703, 702
405, 463, 464, 479, 478, 688, 689, 704, 703
406, 464, 465, 480, 479, 689, 690, 705, 704
407, 466, 467, 482, 481, 691, 692, 707, 706
408, 467, 468, 483, 482, 692, 693, 708, 707
409, 468, 469, 484, 483, 693, 694, 709, 708
410, 469, 470, 485, 484, 694, 695, 710, 709
411, 470, 471, 486, 485, 695, 696, 711, 710
412, 471, 472, 487, 486, 696, 697, 712, 711
413, 472, 473, 488, 487, 697, 698, 713, 712
414, 473, 474, 489, 488, 698, 699, 714, 713
415, 474, 475, 490, 489, 699, 700, 715, 714
416, 475, 476, 491, 490, 700, 701, 716, 715
417, 476, 477, 492, 491, 701, 702, 717, 716
418, 477, 478, 493, 492, 702, 703, 718, 717
419, 478, 479, 494, 493, 703, 704, 719, 718
420, 479, 480, 495, 494, 704, 705, 720, 719
421, 481, 482, 497, 496, 706, 707, 722, 721
422, 482, 483, 498, 497, 707, 708, 723, 722
423, 483, 484, 499, 498, 708, 709, 724, 723
424, 484, 485, 500, 499, 709, 710, 725, 724
425, 485, 486, 501, 500, 710, 711, 726, 725
426, 486, 487, 502, 501, 711, 712, 727, 726
427, 487, 488, 503, 502, 712, 713, 728, 727
428, 488, 489, 504, 503, 713, 714, 729, 728
429, 489, 490, 505, 504, 714, 715, 730, 729
430, 490, 491, 506, 505, 715, 716, 731, 730
431, 491, 492, 507, 506, 716, 717, 732, 731
432, 492, 493, 508, 507, 717, 718, 733, 732
433, 493, 494, 509, 508, 718, 719, 734, 733
434, 494, 495, 510, 509, 719, 720, 735, 734
435, 496, 497, 512, 511, 721, 722, 737, 736
436, 497, 498, 513, 512, 722, 723, 738, 737
437, 498, 499, 514, 513, 723, 724, 739, 738
438, 499, 500, 515, 514, 724, 725, 740, 739
439, 500, 501, 516, 515, 725, 726, 741, 740
440, 501, 502, 517, 516, 726, 727, 742, 741
441, 502, 503, 518, 517, 727, 728, 743, 742
442, 503, 504, 519, 518, 728, 729, 744, 743
443, 504, 505, 520, 519, 729, 730, 745, 744
444, 505, 506, 521, 520, 730, 731, 746, 745
445, 506, 507, 522, 521, 731, 732, 747, 746
446, 507, 508, 523, 522, 732, 733, 748, 747
447, 508, 509, 524, 523, 733, 734, 749, 748
448, 509, 510, 525, 524, 734, 735, 750, 749
449, 511, 512, 527, 526, 736, 737, 752, 751
450, 512, 513, 528, 527, 737, 738, 753, 752
451, 513, 514, 529, 528, 738, 739, 754, 753
452, 514, 515, 530, 529, 739, 740, 755, 754
453, 515, 516, 531, 530, 740, 741, 756, 755
454, 516, 517, 532, 531, 741, 742, 757, 756
455, 517, 518, 533, 532, 742, 743, 758, 757
456, 518, 519, 534, 533, 743, 744, 759, 758
457, 519, 520, 535, 534, 744, 745, 760, 759
458, 520, 521, 536, 535, 745, 746, 761, 760
459, 521, 522, 537, 536, 746, 747, 762, 761
460, 522, 523, 538, 537, 747, 748, 763, 762
461, 523, 524, 539, 538, 748, 749, 764, 763
462, 524, 525, 540, 539, 749, 750, 765, 764
463, 526, 527, 542, 541, 751, 752, 767, 766
464, 527, 528, 543, 542, 752, 753, 768, 767
465, 528, 529, 544, 543, 753, 754, 769, 768
466, 529, 530, 545, 544, 754, 755, 770, 769
467, 530, 531, 546, 545, 755, 756, 771, 770
468, 531, 532, 547, 546, 756, 757, 772, 771
469, 532, 533, 548, 547, 757, 758, 773, 772
470, 533, 534, 549, 548, 758, 759, 774, 773
471, 534, 535, 550, 549, 759, 760, 775, 774
472, 535, 536, 551, 550, 760, 761, 776, 775
473, 536, 537, 552, 551, 761, 762, 777, 776
474, 537, 538, 553, 552, 762, 763, 778, 777
475, 538, 539, 554, 553, 763, 764, 779, 778
476, 539, 540, 555, 554, 764, 765, 780, 779
477, 541, 542, 557, 556, 766, 767, 782, 781
478, 542, 543, 558, 557, 767, 768, 783, 782
479, 543, 544, 559, 558, 768, 769, 784, 783
480, 544, 545, 560, 559, 769, 770, 785, 784
481, 545, 546, 561, 560, 770, 771, 786, 785
482, 546, 547, 562, 561, 771, 772, 787, 786
483, 547, 548, 563, 562, 772, 773, 788, 787
484, 548, 549, 564, 563, 773, 774, 789, 788
485, 549, 550, 565, 564, 774, 775, 790, 789
486, 550, 551, 566, 565, 775, 776, 791, 790
487, 551, 552, 567, 566, 776, 777, 792, 791
488, 552, 553, 568, 567, 777, 778, 793, 792
489, 553, 554, 569, 568, 778, 779, 794, 793
490, 554, 555, 570, 569, 779, 780, 795, 794
491, 556, 557, 572, 571, 781, 782, 797, 796
492, 557, 558, 573, 572, 782, 783, 798, 797
493, 558, 559, 574, 573, 783, 784, 799, 798
494, 559, 560, 575, 574, 784, 785, 800, 799
495, 560, 561, 576, 575, 785, 786, 801, 800
496, 561, 562, 577, 576, 786, 787, 802, 801
497, 562, 563, 578, 577, 787, 788, 803, 802
498, 563, 564, 579, 578, 788, 789, 804, 803
499, 564, 565, 580, 579, 789, 790, 805, 804
500, 565, 566, 581, 580, 790, 791, 806, 805
501, 566, 567, 582, 581, 791, 792, 807, 806
502, 567, 568, 583, 582, 792, 793, 808, 807
503, 568, 569, 584, 583, 793, 794, 809, 808
504, 569, 570, 585, 584, 794, 795, 810, 809
505, 571, 572, 587, 586, 796, 797, 812, 811
506, 572, 573, 588, 587, 797, 798, 813, 812
507, 573, 574, 589, 588, 798, 799, 814, 813
508, 574, 575, 590, 589, 799, 800, 815, 814
509, 575, 576, 591, 590, 800, 801, 816, 815
510, 576, 577, 592, 591, 801, 802, 817, 816
511, 577, 578, 593, 592, 802, 803, 818, 817
512, 578, 579, 594, 593, 803, 804, 819, 818
513, 579, 580, 595, 594, 804, 805, 820, 819
514, 580, 581, 596, 595, 805, 806, 821, 820
515, 581, 582, 597, 596, 806, 807, 822, 821
516, 582, 583, 598, 597, 807, 808, 823, 822
517, 583, 584, 599, 598, 808, 809, 824, 823
518, 584, 585, 600, 599, 809, 810, 825, 824
519, 586, 587, 602, 601, 811, 812, 827, 826
520, 587, 588, 603, 602, 812, 813, 828, 827
521, 588, 589, 604, 603, 813, 814, 829, 828
522, 589, 590, 605, 604, 814, 815, 830, 829
523, 590, 591, 606, 605, 815, 816, 831, 830
524, 591, 592, 607, 606, 816, 817, 832, 831
525, 592, 593, 608, 607, 817, 818, 833, 832
526, 593, 594, 609, 608, 818, 819, 834, 833
527, 594, 595, 610, 609, 819, 820, 835, 834
528, 595, 596, 611, 610, 820, 821, 836, 835
529, 596, 597, 612, 611, 821, 822, 837, 836
530, 597, 598, 613, 612, 822, 823, 838, 837
531, 598, 599, 614, 613, 823, 824, 839, 838
532, 599, 600, 615, 614, 824, 825, 840, 839
533, 601, 602, 617, 616, 826, 827, 842, 841
534, 602, 603, 618, 617, 827, 828, 843, 842
535, 603, 604, 619, 618, 828, 829, 844, 843
536, 604, 605, 620, 619, 829, 830, 845, 844
537, 605, 606, 621, 620, 830, 831, 846, 845
538, 606, 607, 622, 621, 831, 832, 847, 846
539, 607, 608, 623, 622, 832, 833, 848, 847
540, 608, 609, 624, 623, 833, 834, 849, 848
541, 609, 610, 625, 624, 834, 835, 850, 849
542, 610, 611, 626, 625, 835, 836, 851, 850
543, 611, 612, 627, 626, 836, 837, 852, 851
544, 612, 613, 628, 627, 837, 838, 853, 852
545, 613, 614, 629, 628, 838, 839, 854, 853
546, 614, 615, 630, 629, 839, 840, 855, 854
547, 616, 617, 632, 631, 841, 842, 857, 856
548, 617, 618, 633, 632, 842, 843, 858, 857
549, 618, 619, 634, 633, 843, 844, 859, 858
550, 619, 620, 635, 634, 844, 845, 860, 859
551, 620, 621, 636, 635, 845, 846, 861, 860
552, 621, 622, 637, 636, 846, 847, 862, 861
553, 622, 623, 638, 637, 847, 848, 863, 862
554, 623, 624, 639, 638, 848, 849, 864, 863
555, 624, 625, 640, 639, 849, 850, 865, 864
556, 625, 626, 641, 640, 850, 851, 866, 865
557, 626, 627, 642, 641, 851, 852, 867, 866
558, 627, 628, 643, 642, 852, 853, 868, 867
559, 628, 629, 644, 643, 853, 854, 869, 868
560, 629, 630, 645, 644, 854, 855, 870, 869
561, 631, 632, 647, 646, 856, 857, 872, 871
562, 632, 633, 648, 647, 857, 858, 873, 872
563, 633, 634, 649, 648, 858, 859, 874, 873
564, 634, 635, 650, 649, 859, 860, 875, 874
565, 635, 636, 651, 650, 860, 861, 876, 875
566, 636, 637, 652, 651, 861, 862, 877, 876
567, 637, 638, 653, 652, 862, 863, 878, 877
568, 638, 639, 654, 653, 863, 864, 879, 878
569, 639, 640, 655, 654, 864, 865, 880, 879
570, 640, 641, 656, 655, 865, 866, 881, 880
571, 641, 642, 657, 656, 866, 867, 882, 881
572, 642, 643, 658, 657, 867, 868, 883, 882
573, 643, 644, 659, 658, 868, 869, 884, 883
574, 644, 645, 660, 659, 869, 870, 885, 884
575, 646, 647, 662, 661, 871, 872, 887, 886
576, 647, 648, 663, 662, 872, 873, 888, 887
577, 648, 649, 664, 663, 873, 874, 889, 888
578, 649, 650, 665, 664, 874, 875, 890, 889
579, 650, 651, 666, 665, 875, 876, 891, 890
580, 651, 652, 667, 666, 876, 877, 892, 891
581, 652, 653, 668, 667, 877, 878, 893, 892
582, 653, 654, 669, 668, 878, 879, 894, 893
583, 654, 655, 670, 669, 879, 880, 895, 894
584, 655, 656, 671, 670, 880, 881, 896, 895
585, 656, 657, 672, 671, 881, 882, 897, 896
586, 657, 658, 673, 672, 882, 883, 898, 897
587, 658, 659, 674, 673, 883, 884, 899, 898
588, 659, 660, 675, 674, 884, 885, 900, 899
589, 676, 677, 692, 691, 901, 902, 917, 916
590, 677, 678, 693, 692, 902, 903, 918, 917
591, 678, 679, 694, 693, 903, 904, 919, 918
592, 679, 680, 695, 694, 904, 905, 920, 919
593, 680, 681, 696, 695, 905, 906, 921, 920
594, 681, 682, 697, 696, 906, 907, 922, 921
595, 682, 683, 698, 697, 907, 908, 923, 922
596, 683, 684, 699, 698, 908, 909, 924, 923
597, 684, 685, 700, 699, 909, 910, 925, 924
598, 685, 686, 701, 700, 910, 911, 926, 925
599, 686, 687, 702, 701, 911, 912, 927, 926
600, 687, 688, 703, 702, 912, 913, 928, 927
601, 688, 689, 704, 703, 913, 914, 929, 928
602, 689, 690, 705, 704, 914, 915, 930, 929
603, 691, 692, 707, 706, 916, 917, 932, 931
604, 692, 693, 708, 707, 917, 918, 933, 932
605, 693, 694, 709, 708, 918, 919, 934, 933
606, 694, 695, 710, 709, 919, 920, 935, 934
607, 695, 696, 711, 710, 920, 921, 936, 935
608, 696, 697, 712, 711, 921, 922, 937, 936
609, 697, 698, 713, 712, 922, 923, 938, 937
610, 698, 699, 714, 713, 923, 924, 939, 938
611, 699, 700, 715, 714, 924, 925, 940, 939
612, 700, 701, 716, 715, 925, 926, 941, 940
613, 701, 702, 717, 716, 926, 927, 942, 941
614, 702, 703, 718, 717, 927, 928, 943, 942
615, 703, 704, 719, 718, 928, 929, 944, 943
616, 704, 705, 720, 719, 929, 930, 945, 944
617, 706, 707, 722, 721, 931, 932, 947, 946
618, 707, 708, 723, 722, 932, 933, 948, 947
619, 708, 709, 724, 723, 933, 934, 949, 948
620, 709, 710, 725, 724, 934, 935, 950, 949
621, 710, 711, 726, 725, 935, 936, 951, 950
622, 711, 712, 727, 726, 936, 937, 952, 951
623, 712, 713, 728, 727, 937, 938, 953, 952
624, 713, 714, 729, 728, 938, 939, 954, 953
625, 714, 715, 730, 729, 939, 940, 955, 954
626, 715, 716, 731, 730, 940, 941, 956, 955
627, 716, 717, 732, 731, 941, 942, 957, 956
628, 717, 718, 733, 732, 942, 943, 958, 957
629, 718, 719, 734, 733, 943, 944, 959, 958
630, 719, 720, 735, 734, 944, 945, 960, 959
631, 721, 722, 737, 736, 946, 947, 962, 961
632, 722, 723, 738, 737, 947, 948, 963, 962
633, 723, 724, 739, 738, 948, 949, 964, 963
634, 724, 725, 740, 739, 949, 950, 965, 964
635, 725, 726, 741, 740, 950, 951, 966, 965
636, 726, 727, 742, 741, 951, 952, 967, 966
637, 727, 728, 743, 742, 952, 953, 968, 967
638, 728, 729, 744, 743, 953, 954, 969, 968
639, 729, 730, 745, 744, 954, 955, 970, 969
640, 730, 731, 746, 745, 955, 956, 971, 970
641, 731, 732, 747, 746, 956, 957, 972, 971
642, 732, 733, 748, 747, 957, 958, 973, 972
643, 733, 734, 749, 748, 958, 959, 974, 973
644, 734, 735, 750, 749, 959, 960, 975, 974
645, 736, 737, 752, 751, 961, 962, 977, 976
646, 737, 738, 753, 752, 962, 963, 978, 977
647, 738, 739, 754, 753, 963, 964, 979, 978
648, 739, 740, 755, 754, 964, 965, 980, 979
649, 740, 741, 756, 755, 965, 966, 981, 980
650, 741, 742, 757, 756, 966, 967, 982, 981
651, 742, 743, 758, 757, 967, 968, 983, 982
652, 743, 744, 759, 758, 968, 969, 984, 983
653, 744, 745, 760, 759, 969, 970, 985, 984
654, 745, 746, 761, 760, 970, 971, 986, 985
655, 746, 747, 762, 761, 971, 972, 987, 986
656, 747, 748, 763, 762, 972, 973, 988, 987
657, 748, 749, 764, 763, 973, 974, 989, 988
658, 749, 750, 765, 764, 974, 975, 990, 989
659, 751, 752, 767, 766, 976, 977, 992, 991
660, 752, 753, 768, 767, 977, 978, 993, 992
661, 753, 754, 769, 768, 978, 979, 994, 993
662, 754, 755, 770, 769, 979, 980, 995, 994
663, 755, 756, 771, 770, 980, 981, 996, 995
664, 756, 757, 772, 771, 981, 982, 997, 996
665, 757, 758, 773, 772, 982, 983, 998, 997
666, 758, 759, 774, 773, 983, 984, 999, 998
667, 759, 760, 775, 774, 984, 985, 1000, 999
668, 760, 761, 776, 775, 985, 986, 1001, 1000
669, 761, 762, 777, 776, 986, 987, 1002, 1001
670, 762, 763, 778, 777, 987, 988, 1003, 1002
671, 763, 764, 779, 778, 988, 989, 1004, 1003
672, 764, 765, 780, 779, 989, 990, 1005, 1004
673, 766, 767, 782, 781, 991, 992, 1007, 1006
674, 767, 768, 783, 782, 992, 993, 1008, 1007
675, 768, 769, 784, 783, 993, 994, 1009, 1008
676, 769, 770, 785, 784, 994, 995, 1010, 1009
677, 770, 771, 786, 785, 995, 996, 1011, 1010
678, 771, 772, 787, 786, 996, 997, 1012, 1011
679, 772, 773, 788, 787, 997, 998, 1013, 1012
680, 773, 774, 789, 788, 998, 999, 1014, 1013
681, 774, 775, 790, 789, 999, 1000, 1015, 1014
682, 775, 776, 791, 790, 1000, 1001, 1016, 1015
683, 776, 777, 792, 791, 1001, 1002, 1017, 1016
684, 777, 778, 793, 792, 1002, 1003, 1018, 1017
685, 778, 779, 794, 793, 1003, 1004, 1019, 1018
686, 779, 780, 795, 794, 1004, 1005, 1020, 1019
687, 781, 782, 797, 796, 1006, 1007, 1022, 1021
688, 782, 783, 798, 797, 1007, 1008, 1023, 1022
689, 783, 784, 799, 798, 1008, 1009, 1024, 1023
690, 784, 785, 800, 799, 1009, 1010, 1025, 1024
691, 785, 786, 801, 800, 1010, 1011, 1026, 1025
692, 786, 787, 802, 801, 1011, 1012, 1027, 1026
693, 787, 788, 803, 802, 1012, 1013, 1028, 1027
694, 788, 789, 804, 803, 1013, 1014, 1029, 1028
695, 789, 790, 805, 804, 1014, 1015, 1030, 1029
696, 790, 791, 806, 805, 1015, 1016, 1031, 1030
697, 791, 792, 807, 806, 1016, 1017, 1032, 1031
698, 792, 793, 808, 807, 1017, 1018, 1033, 1032
699, 793, 794, 809, 808, 1018, 1019, 1034, 1033
700, 794, 795, 810, 809, 1019, 1020, 1035, 1034
701, 796, 797, 812, 811, 1021, 1022, 1037, 1036
702, 797, 798, 813, 812, 1022, 1023, 1038, 1037
703, 798, 799, 814, 813, 1023, 1024, 1039, 1038
704, 799, 800, 815, 814, 1024, 1025, 1040, 1039
705, 800, 801, 816, 815, 1025, 1026, 1041, 1040
706, 801, 802, 817, 816, 1026, 1027, 1042, 1041
707, 802, 803, 818, 817, 1027, 1028, 1043, 1042
708, 803, 804, 819, 818, 1028, 1029, 1044, 1043
709, 804, 805, 820, 819, 1029, 1030, 1045, 1044
710, 805, 806, 821, 820, 1030, 1031, 1046, 1045
711, 806, 807, 822, 821, 1031, 1032, 1047, 1046
712, 807, 808, 823, 822, 1032, 1033, 1048, 1047
713, 808, 809, 824, 823, 1033, 1034, 1049, 1048
714, 809, 810, 825, 824, 1034, 1035, 1050, 1049
715, 811, 812, 827, 826, 1036, 1037, 1052, 1051
716, 812, 813, 828, 827, 1037, 1038, 1053, 1052
717, 813, 814, 829, 828, 1038, 1039, 1054, 1053
718, 814, 815, 830, 829, 1039, 1040, 1055, 1054
719, 815, 816, 831, 830, 1040, 1041, 1056, 1055
720, 816, 817, 832, 831, 1041, 1042, 1057, 1056
721, 817, 818, 833, 832, 1042, 1043, 1058, 1057
722, 818, 819, 834, 833, 1043, 1044, 1059, 1058
723, 819, 820, 835, 834, 1044, 1045, 1060, 1059
724, 820, 821, 836, 835, 1045, 1046, 1061, 1060
725, 821, 822, 837, 836, 1046, 1047, 1062, 1061
726, 822, 823, 838, 837, 1047, 1048, 1063, 1062
727, 823, 824, 839, 838, 1048, 1049, 1064, 1063
728, 824, 825, 840, 839, 1049, 1050, 1065, 1064
729, 826, 827, 842, 841, 1051, 1052, 1067, 1066
730, 827, 828, 843, 842, 1052, 1053, 1068, 1067
731, 828, 829, 844, 843, 1053, 1054, 1069, 1068
732, 829, 830, 845, 844, 1054, 1055, 1070, 1069
733, 830, 831, 846, 845, 1055, 1056, 1071, 1070
734, 831, 832, 847, 846, 1056, 1057, 1072, 1071
735, 832, 833, 848, 847, 1057, 1058, 1073, 1072
736, 833, 834, 849, 848, 1058, 1059, 1074, 1073
737, 834, 835, 850, 849, 1059, 1060, 1075, 1074
738, 835, 836, 851, 850, 1060, 1061, 1076, 1075
739, 836, 837, 852, 851, 1061, 1062, 1077, 1076
740, 837, 838, 853, 852, 1062, 1063, 1078, 1077
741, 838, 839, 854, 853, 1063, 1064, 1079, 1078
742, 839, 840, 855, 854, 1064, 1065, 1080, 1079
743, 841, 842, 857, 856, 1066, 1067, 1082, 1081
744, 842, 843, 858, 857, 1067, 1068, 1083, 1082
745, 843, 844, 859, 858, 1068, 1069, 1084, 1083
746, 844, 845, 860, 859, 1069, 1070, 1085, 1084
747, 845, 846, 861, 860, 1070, 1071, 1086, 1085
748, 846, 847, 862, 861, 1071, 1072, 1087, 1086
749, 847, 848, 863, 862, 1072, 1073, 1088, 1087
750, 848, 849, 864, 863, 1073, 1074, 1089, 1088
751, 849, 850, 865, 864, 1074, 1075, 1090, 1089
752, 850, 851, 866, 865, 1075, 1076, 1091, 1090
753, 851, 852, 867, 866, 1076, 1077, 1092, 1091
754, 852, 853, 868, 867, 1077, 1078, 1093, 1092
755, 853, 854, 869, 868, 1078, 1079, 1094, 1093
756, 854, 855, 870, 869, 1079, 1080, 1095, 1094
757, 856, 857, 872, 871, 1081, 1082, 1097, 1096
758, 857, 858, 873, 872, 1082, 1083, 1098, 1097
759, 858, 859, 874, 873, 1083, 1084, 1099, 1098
760, 859, 860, 875, 874, 1084, 1085, 1100, 1099
761, 860, 861, 876, 875, 1085, 1086, 1101, 1100
762, 861, 862, 877, 876, 1086, 1087, 1102, 1101
763, 862, 863, 878, 877, 1087, 1088, 1103, 1102
764, 863, 864, 879, 878, 1088, 1089, 1104, 1103
765, 864, 865, 880, 879, 1089, 1090, 1105, 1104
766, 865, 866, 881, 880, 1090, 1091, 1106, 1105
767, 866, 867, 882, 881, 1091, 1092, 1107, 1106
768, 867, 868, 883, 882, 1092, 1093, 1108, 1107
769, 868, 869, 884, 883, 1093, 1094, 1109, 1108
770, 869, 870, 885, 884, 1094, 1095, 1110, 1109
771, 871, 872, 887, 886, 1096, 1097, 1112, 1111
772, 872, 873, 888, 887, 1097, 1098, 1113, 1112
773, 873, 874, 889, 888, 1098, 1099, 1114, 1113
774, 874, 875, 890, 889, 1099, 1100, 1115, 1114
775, 875, 876, 891, 890, 1100, 1101, 1116, 1115
776, 876, 877, 892, 891, 1101, 1102, 1117, 1116
777, 877, 878, 893, 892, 1102, 1103, 1118, 1117
778, 878, 879, 894, 893, 1103, 1104, 1119, 1118
779, 879, 880, 895, 894, 1104, 1105, 1120, 1119
780, 880, 881, 896, 895, 1105, 1106, 1121, 1120
781, 881, 882, 897, 896, 1106, 1107, 1122, 1121
782, 882, 883, 898, 897, 1107, 1108, 1123, 1122
783, 883, 884, 899, 898, 1108, 1109, 1124, 1123
784, 884, 885, 900, 899, 1109, 1110, 1125, 1124
785, 901, 902, 917, 916, 1126, 1127, 1142, 1141
786, 902, 903, 918, 917, 1127, 1128, 1143, 1142
787, 903, 904, 919, 918, 1128, 1129, 1144, 1143
788, 904, 905, 920, 919, 1129, 1130, 1145, 1144
789, 905, 906, 921, 920, 1130, 1131, 1146, 1145
790, 906, 907, 922, 921, 1131, 1132, 1147, 1146
791, 907, 908, 923, 922, 1132, 1133, 1148, 1147
792, 908, 909, 924, 923, 1133, 1134, 1149, 1148
793, 909, 910, 925, 924, 1134, 1135, 1150, 1149
794, 910, 911, 926, 925, 1135, 1136, 1151, 1150
795, 911, 912, 927, 926, 1136, 1137, 1152, 1151
796, 912, 913, 928, 927, 1137, 1138, 1153, 1152
797, 913, 914, 929, 928, 1138, 1139, 1154, 1153
798, 914, 915, 930, 929, 1139, 1140, 1155, 1154
799, 916, 917, 932, 931, 1141, 1142, 1157, 1156
800, 917, 918, 933, 932, 1142, 1143, 1158, 1157
801, 918, 919, 934, 933, 1143, 1144, 1159, 1158
802, 919, 920, 935, 934, 1144, 1145, 1160, 1159
803, 920, 921, 936, 935, 1145, 1146, 1161, 1160
804, 921, 922, 937, 936, 1146, 1147, 1162, 1161
805, 922, 923, 938, 937, 1147, 1148, 1163, 1162
806, 923, 924, 939, 938, 1148, 1149, 1164, 1163
807, 924, 925, 940, 939, 1149, 1150, 1165, 1164
808, 925, 926, 941, 940, 1150, 1151, 1166, 1165
809, 926, 927, 942, 941, 1151, 1152, 1167, 1166
810, 927, 928, 943, 942, 1152, 1153, 1168, 1167
811, 928, 929, 944, 943, 1153, 1154, 1169, 1168
812, 929, 930, 945, 944, 1154, 1155, 1170, 1169
813, 931, 932, 947, 946, 1156, 1157, 1172, 1171
814, 932, 933, 948, 947, 1157, 1158, 1173, 1172
815, 933, 934, 949, 948, 1158, 1159, 1174, 1173
816, 934, 935, 950, 949, 1159, 1160, 1175, 1174
817, 935, 936, 951, 950, 1160, 1161, 1176, 1175
818, 936, 937, 952, 951, 1161, 1162, 1177, 1176
819, 937, 938, 953, 952, 1162, 1163, 1178, 1177
820, 938, 939, 954, 953, 1163, 1164, 1179, 1178
821, 939, 940, 955, 954, 1164, 1165, 1180, 1179
822, 940, 941, 956, 955, 1165, 1166, 1181, 1180
823, 941, 942, 957, 956, 1166, 1167, 1182, 1181
824, 942, 943, 958, 957, 1167, 1168, 1183, 1182
825, 943, 944, 959, 958, 1168, 1169, 1184, 1183
826, 944, 945, 960, 959, 1169, 1170, 1185, 1184
827, 946, 947, 962, 961, 1171, 1172, 1187, 1186
828, 947, 948, 963, 962, 1172, 1173, 1188, 1187
829, 948, 949, 964, 963, 1173, 1174, 1189, 1188
830, 949, 950, 965, 964, 1174, 1175, 1190, 1189
831, 950, 951, 966, 965, 1175, 1176, 1191, 1190
832, 951, 952, 967, 966, 1176, 1177, 1192, 1191
833, 952, 953, 968, 967, 1177, 1178, 1193, 1192
834, 953, 954, 969, 968, 1178, 1179, 1194, 1193
835, 954, 955, 970, 969, 1179, 1180, 1195, 1194
836, 955, 956, 971, 970, 1180, 1181, 1196, 1195
837, 956, 957, 972, 971, 1181, 1182, 1197, 1196
838, 957, 958, 973, 972, 1182, 1183, 1198, 1197
839, 958, 959, 974, 973, 1183, 1184, 1199, 1198
840, 959, 960, 975, 974, 1184, 1185, 1200, 1199
841, 961, 962, 977, 976, 1186, 1187, 1202, 1201
842, 962, 963, 978, 977, 1187, 1188, 1203, 1202
843, 963, 964, 979, 978, 1188, 1189, 1204, 1203
844, 964, 965, 980, 979, 1189, 1190, 1205, 1204
845, 965, 966, 981, 980, 1190, 1191, 1206, 1205
846, 966, 967, 982, 981, 1191, 1192, 1207, 1206
847, 967, 968, 983, 982, 1192, 1193, 1208, 1207
848, 968, 969, 984, 983, 1193, 1194, 1209, 1208
849, 969, 970, 985, 984, 1194, 1195, 1210, 1209
850, 970, 971, 986, 985, 1195, 1196, 1211, 1210
851, 971, 972, 987, 986, 1196, 1197, 1212, 1211
852, 972, 973, 988, 987, 1197, 1198, 1213, 1212
853, 973, 974, 989, 988, 1198, 1199, 1214, 1213
854, 974, 975, 990, 989, 1199, 1200, 1215, 1214
855, 976, 977, 992, 991, 1201, 1202, 1217, 1216
856, 977, 978, 993, 992, 1202, 1203, 1218, 1217
857, 978, 979, 994, 993, 1203, 1204, 1219, 1218
858, 979, 980, 995, 994, 1204, 1205, 1220, 1219
859, 980, 981, 996, 995, 1205, 1206, 1221, 1220
860, 981, 982, 997, 996, 1206, 1207, 1222, 1221
861, 982, 983, 998, 997, 1207, 1208, 1223, 1222
862, 983, 984, 999, 998, 1208, 1209, 1224, 1223
863, 984, 985, 1000, 999, 1209, 1210, 1225, 1224
864, 985, 986, 1001, 1000, 1210, 1211, 1226, 1225
865, 986, 987, 1002, 1001, 1211, 1212, 1227, 1226
866, 987, 988, 1003, 1002, 1212, 1213, 1228, 1227
867, 988, 989, 1004, 1003, 1213, 1214, 1229, 1228
868, 989, 990, 1005, 1004, 1214, 1215, 1230, 1229
869, 991, 992, 1007, 1006, 1216, 1217, 1232, 1231
870, 992, 993, 1008, 1007, 1217, 1218, 1233, 1232
871, 993, 994, 1009, 1008, 1218, 1219, 1234, 1233
872, 994, 995, 1010, 1009, 1219, 1220, 1235, 1234
873, 995, 996, 1011, 1010, 1220, 1221, 1236, 1235
874, 996, 997, 1012, 1011, 1221, 1222, 1237, 1236
875, 997, 998, 1013, 1012, 1222, 1223, 1238, 1237
876, 998, 999, 1014, 1013, 1223, 1224, 1239, 1238
877, 999, 1000, 1015, 1014, 1224, 1225, 1240, 1239
878, 1000, 1001, 1016, 1015, 1225, 1226, 1241, 1240
879, 1001, 1002, 1017, 1016, 1226, 1227, 1242, 1241
880, 1002, 1003, 1018, 1017, 1227, 1228, 1243, 1242
881, 1003, 1004, 1019, 1018, 1228, 1229, 1244, 1243
882, 1004, 1005, 1020, 1019, 1229, 1230, 1245, 1244
883, 1006, 1007, 1022, 1021, 1231, 1232, 1247, 1246
884, 1007, 1008, 1023, 1022, 1232, 1233, 1248, 1247
885, 1008, 1009, 1024, 1023, 1233, 1234, 1249, 1248
886, 1009, 1010, 1025, 1024, 1234, 1235, 1250, 1249
887, 1010, 1011, 1026, 1025, 1235, 1236, 1251, 1250
888, 1011, 1012, 1027, 1026, 1236, 1237, 1252, 1251
889, 1012, 1013, 1028, 1027, 1237, 1238, 1253, 1252
890, 1013, 1014, 1029, 1028, 1238, 1239, 1254, 1253
891, 1014, 1015, 1030, 1029, 1239, 1240, 1255, 1254
892, 1015, 1016, 1031, 1030, 1240, 1241, 1256, 1255
893, 1016, 1017, 1032, 1031, 1241, 1242, 1257, 1256
894, 1017, 1018, 1033, 1032, 1242, 1243, 1258, 1257
895, 1018, 1019, 1034, 1033, 1243, 1244, 1259, 1258
896, 1019, 1020, 1035, 1034, 1244, 1245, 1260, 1259
897, 1021, 1022, 1037, 1036, 1246, 1247, 1262, 1261
898, 1022, 1023, 1038, 1037, 1247, 1248, 1263, 1262
899, 1023, 1024, 1039, 1038, 1248, 1249, 1264, 1263
900, 1024, 1025, 1040, 1039, 1249, 1250, 1265, 1264
901, 1025, 1026, 1041, 1040, 1250, 1251, 1266, 1265
902, 1026, 1027, 1042, 1041, 1251, 1252, 1267, 1266
903, 1027, 1028, 1043, 1042, 1252, 1253, 1268, 1267
904, 1028, 1029, 1044, 1043, 1253, 1254, 1269, 1268
905, 1029, 1030, 1045, 1044, 1254, 1255, 1270, 1269
906, 1030, 1031, 1046, 1045, 1255, 1256, 1271, 1270
907, 1031, 1032, 1047, 1046, 1256, 1257, 1272, 1271
908, 1032, 1033, 1048, 1047, 1257, 1258, 1273, 1272
909, 1033, 1034, 1049, 1048, 1258, 1259, 1274, 1273
910, 1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274
911, 1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276
912, 1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277
913, 1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278
914, 1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279
915, 1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280
916, 1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281
917, 1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282
918, 1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283
919, 1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284
920, 1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285
921, 1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286
922, 1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287
923, 1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288
924, 1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289
925, 1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291
926, 1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292
927, 1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293
928, 1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294
929, 1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295
930, 1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296
931, 1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297
932, 1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298
933, 1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299
934, 1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300
935, 1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301
936, 1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302
937, 1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303
938, 1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304
939, 1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306
940, 1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307
941, 1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308
942, 1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309
943, 1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310
944, 1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311
945, 1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312
946, 1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313
947, 1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314
948, 1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315
949, 1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316
950, 1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317
951, 1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318
952, 1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319
953, 1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321
954, 1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322
955, 1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323
956, 1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324
957, 1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325
958, 1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326
959, 1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327
960, 1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328
961, 1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329
962, 1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330
963, 1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331
964, 1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332
965, 1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333
966, 1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334
967, 1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336
968, 1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337
969, 1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338
970, 1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339
971, 1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340
972, 1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341
973, 1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342
974, 1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343
975, 1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344
976, 1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345
977, 1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346
978, 1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347
979, 1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348
980, 1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349
981, 1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366
982, 1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367
983, 1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368
984, 1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369
985, 1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370
986, 1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371
987, 1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372
988, 1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373
989, 1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374
990, 1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375
991, 1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376
992, 1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377
993, 1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378
994, 1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379
995, 1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381
996, 1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382
997, 1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383
998, 1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384
999, 1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385
1000, 1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386
1001, 1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387
1002, 1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388
1003, 1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389
1004, 1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390
1005, 1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391
1006, 1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392
1007, 1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393
1008, 1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394
1009, 1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396
1010, 1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397
1011, 1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398
1012, 1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399
1013, 1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400
1014, 1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401
1015, 1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402
1016, 1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403
1017, 1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404
1018, 1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405
1019, 1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406
1020, 1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407
1021, 1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408
1022, 1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409
1023, 1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411
1024, 1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412
1025, 1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413
1026, 1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414
1027, 1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415
1028, 1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416
1029, 1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417
1030, 1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418
1031, 1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419
1032, 1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420
1033, 1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421
1034, 1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422
1035, 1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423
1036, 1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424
1037, 1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426
1038, 1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427
1039, 1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428
1040, 1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429
1041, 1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430
1042, 1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431
1043, 1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432
1044, 1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433
1045, 1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434
1046, 1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435
1047, 1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436
1048, 1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437
1049, 1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438
1050, 1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439
1051, 1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441
1052, 1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442
1053, 1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443
1054, 1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444
1055, 1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445
1056, 1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446
1057, 1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447
1058, 1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448
1059, 1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449
1060, 1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450
1061, 1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451
1062, 1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452
1063, 1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453
1064, 1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454
1065, 1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456
1066, 1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457
1067, 1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458
1068, 1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459
1069, 1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460
1070, 1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461
1071, 1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462
1072, 1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463
1073, 1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464
1074, 1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465
1075, 1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466
1076, 1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467
1077, 1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468
1078, 1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469
1079, 1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471
1080, 1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472
1081, 1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473
1082, 1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474
1083, 1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475
1084, 1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476
1085, 1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477
1086, 1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478
1087, 1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479
1088, 1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480
1089, 1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481
1090, 1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482
1091, 1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483
1092, 1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484
1093, 1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486
1094, 1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487
1095, 1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488
1096, 1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489
1097, 1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490
1098, 1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491
1099, 1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492
1100, 1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493
1101, 1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494
1102, 1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495
1103, 1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496
1104, 1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497
1105, 1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498
1106, 1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499
1107, 1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501
1108, 1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502
1109, 1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503
1110, 1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504
1111, 1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505
1112, 1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506
1113, 1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507
1114, 1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508
1115, 1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509
1116, 1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510
1117, 1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511
1118, 1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512
1119, 1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513
1120, 1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514
1121, 1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516
1122, 1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517
1123, 1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518
1124, 1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519
1125, 1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520
1126, 1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521
1127, 1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522
1128, 1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523
1129, 1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524
1130, 1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525
1131, 1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526
1132, 1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527
1133, 1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528
1134, 1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529
1135, 1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531
1136, 1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532
1137, 1293, 1294, 1309, 1308, 1518, 1519, 1534, 1533
1138, 1294, 1295, 1310, 1309, 1519, 1520, 1535, 1534
1139, 1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535
1140, 1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536
1141, 1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537
1142, 1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538
1143, 1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539
1144, 1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540
1145, 1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541
1146, 1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542
1147, 1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543
1148, 1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544
1149, 1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546
1150, 1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547
1151, 1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548
1152, 1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549
1153, 1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550
1154, 1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551
1155, 1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552
1156, 1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553
1157, 1314, 1315, 1330, 1329, 1539, 1540, 1555, 1554
1158, 1315, 1316, 1331, 1330, 1540, 1541, 1556, 1555
1159, 1316, 1317, 1332, 1331, 1541, 1542, 1557, 1556
1160, 1317, 1318, 1333, 1332, 1542, 1543, 1558, 1557
1161, 1318, 1319, 1334, 1333, 1543, 1544, 1559, 1558
1162, 1319, 1320, 1335, 1334, 1544, 1545, 1560, 1559
1163, 1321, 1322, 1337, 1336, 1546, 1547, 1562, 1561
1164, 1322, 1323, 1338, 1337, 1547, 1548, 1563, 1562
1165, 1323, 1324, 1339, 1338, 1548, 1549, 1564, 1563
1166, 1324, 1325, 1340, 1339, 1549, 1550, 1565, 1564
1167, 1325, 1326, 1341, 1340, 1550, 1551, 1566, 1565
1168, 1326, 1327, 1342, 1341, 1551, 1552, 1567, 1566
1169, 1327, 1328, 1343, 1342, 1552, 1553, 1568, 1567
1170, 1328, 1329, 1344, 1343, 1553, 1554, 1569, 1568
1171, 1329, 1330, 1345, 1344, 1554, 1555, 1570, 1569
1172, 1330, 1331, 1346, 1345, 1555, 1556, 1571, 1570
1173, 1331, 1332, 1347, 1346, 1556, 1557, 1572, 1571
1174, 1332, 1333, 1348, 1347, 1557, 1558, 1573, 1572
1175, 1333, 1334, 1349, 1348, 1558, 1559, 1574, 1573
1176, 1334, 1335, 1350, 1349, 1559, 1560, 1575, 1574
1177, 1351, 1352, 1367, 1366, 1576, 1577, 1592, 1591
1178, 1352, 1353, 1368, 1367, 1577, 1578, 1593, 1592
1179, 1353, 1354, 1369, 1368, 1578, 1579, 1594, 1593
1180, 1354, 1355, 1370, 1369, 1579, 1580, 1595, 1594
1181, 1355, 1356, 1371, 1370, 1580, 1581, 1596, 1595
1182, 1356, 1357, 1372, 1371, 1581, 1582, 1597, 1596
1183, 1357, 1358, 1373, 1372, 1582, 1583, 1598, 1597
1184, 1358, 1359, 1374, 1373, 1583, 1584, 1599, 1598
1185, 1359, 1360, 1375, 1374, 1584, 1585, 1600, 1599
1186, 1360, 1361, 1376, 1375, 1585, 1586, 1601, 1600
1187, 1361, 1362, 1377, 1376, 1586, 1587, 1602, 1601
1188, 1362, 1363, 1378, 1377, 1587, 1588, 1603, 1602
1189, 1363, 1364, 1379, 1378, 1588, 1589, 1604, 1603
1190, 1364, 1365, 1380, 1379, 1589, 1590, 1605, 1604
1191, 1366, 1367, 1382, 1381, 1591, 1592, 1607, 1606
1192, 1367, 1368, 1383, 1382, 1592, 1593, 1608, 1607
1193, 1368, 1369, 1384, 1383, 1593, 1594, 1609, 1608
1194, 1369, 1370, 1385, 1384, 1594, 1595, 1610, 1609
1195, 1370, 1371, 1386, 1385, 1595, 1596, 1611, 1610
1196, 1371, 1372, 1387, 1386, 1596, 1597, 1612, 1611
1197, 1372, 1373, 1388, 1387, 1597, 1598, 1613, 1612
1198, 1373, 1374, 1389, 1388, 1598, 1599, 1614, 1613
1199, 1374, 1375, 1390, 1389, 1599, 1600, 1615, 1614
1200, 1375, 1376, 1391, 1390, 1600, 1601, 1616, 1615
1201, 1376, 1377, 1392, 1391, 1601, 1602, 1617, 1616
1202, 1377, 1378, 1393, 1392, 1602, 1603, 1618, 1617
1203, 1378, 1379, 1394, 1393, 1603, 1604, 1619, 1618
1204, 1379, 1380, 1395, 1394, 1604, 1605, 1620, 1619
1205, 1381, 1382, 1397, 1396, 1606, 1607, 1622, 1621
1206, 1382, 1383, 1398, 1397, 1607, 1608, 1623, 1622
1207, 1383, 1384, 1399, 1398, 1608, 1609, 1624, 1623
1208, 1384, 1385, 1400, 1399, 1609, 1610, 1625, 1624
1209, 1385, 1386, 1401, 1400, 1610, 1611, 1626, 1625
1210, 1386, 1387, 1402, 1401, 1611, 1612, 1627, 1626
1211, 1387, 1388, 1403, 1402, 1612, 1613, 1628, 1627
1212, 1388, 1389, 1404, 1403, 1613, 1614, 1629, 1628
1213, 1389, 1390, 1405, 1404, 1614, 1615, 1630, 1629
1214, 1390, 1391, 1406, 1405, 1615, 1616, 1631, 1630
1215, 1391, 1392, 1407, 1406, 1616, 1617, 1632, 1631
1216, 1392, 1393, 1408, 1407, 1617, 1618, 1633, 1632
1217, 1393, 1394, 1409, 1408, 1618, 1619, 1634, 1633
1218, 1394, 1395, 1410, 1409, 1619, 1620, 1635, 1634
1219, 1396, 1397, 1412, 1411, 1621, 1622, 1637, 1636
1220, 1397, 1398, 1413, 1412, 1622, 1623, 1638, 1637
1221, 1398, 1399, 1414, 1413, 1623, 1624, 1639, 1638
1222, 1399, 1400, 1415, 1414, 1624, 1625, 1640, 1639
1223, 1400, 1401, 1416, 1415, 1625, 1626, 1641, 1640
1224, 1401, 1402, 1417, 1416, 1626, 1627, 1642, 1641
1225, 1402, 1403, 1418, 1417, 1627, 1628, 1643, 1642
1226, 1403, 1404, 1419, 1418, 1628, 1629, 1644, 1643
1227, 1404, 1405, 1420, 1419, 1629, 1630, 1645, 1644
1228, 1405, 1406, 1421, 1420, 1630, 1631, 1646, 1645
1229, 1406, 1407, 1422, 1421, 1631, 1632, 1647, 1646
1230, 1407, 1408, 1423, 1422, 1632, 1633, 1648, 1647
1231, 1408, 1409, 1424, 1423, 1633, 1634, 1649, 1648
1232, 1409, 1410, 1425, 1424, 1634, 1635, 1650, 1649
1233, 1411, 1412, 1427, 1426, 1636, 1637, 1652, 1651
1234, 1412, 1413, 1428, 1427, 1637, 1638, 1653, 1652
1235, 1413, 1414, 1429, 1428, 1638, 1639, 1654, 1653
1236, 1414, 1415, 1430, 1429, 1639, 1640, 1655, 1654
1237, 1415, 1416, 1431, 1430, 1640, 1641, 1656, 1655
1238, 1416, 1417, 1432, 1431, 1641, 1642, 1657, 1656
1239, 1417, 1418, 1433, 1432, 1642, 1643, 1658, 1657
1240, 1418, 1419, 1434, 1433, 1643, 1644, 1659, 1658
1241, 1419, 1420, 1435, 1434, 1644, 1645, 1660, 1659
1242, 1420, 1421, 1436, 1435, 1645, 1646, 1661, 1660
1243, 1421, 1422, 1437, 1436, 1646, 1647, 1662, 1661
1244, 1422, 1423, 1438, 1437, 1647, 1648, 1663, 1662
1245, 1423, 1424, 1439, 1438, 1648, 1649, 1664, 1663
1246, 1424, 1425, 1440, 1439, 1649, 1650, 1665, 1664
1247, 1426, 1427, 1442, 1441, 1651, 1652, 1667, 1666
1248, 1427, 1428, 1443, 1442, 1652, 1653, 1668, 1667
1249, 1428, 1429, 1444, 1443, 1653, 1654, 1669, 1668
1250, 1429, 1430, 1445, 1444, 1654, 1655, 1670, 1669
1251, 1430, 1431, 1446, 1445, 1655, 1656, 1671, 1670
1252, 1431, 1432, 1447, 1446, 1656, 1657, 1672, 1671
1253, 1432, 1433, 1448, 1447, 1657, 1658, 1673, 1672
1254, 1433, 1434, 1449, 1448, 1658, 1659, 1674, 1673
1255, 1434, 1435, 1450, 1449, 1659, 1660, 1675, 1674
1256, 1435, 1436, 1451, 1450, 1660, 1661, 1676, 1675
1257, 1436, 1437, 1452, 1451, 1661, 1662, 1677, 1676
1258, 1437, 1438, 1453, 1452, 1662, 1663, 1678, 1677
1259, 1438, 1439, 1454, 1453, 1663, 1664, 1679, 1678
1260, 1439, 1440, 1455, 1454, 1664, 1665, 1680, 1679
1261, 1441, 1442, 1457, 1456, 1666, 1667, 1682, 1681
1262, 1442, 1443, 1458, 1457, 1667, 1668, 1683, 1682
1263, 1443, 1444, 1459, 1458, 1668, 1669, 1684, 1683
1264, 1444, 1445, 1460, 1459, 1669, 1670, 1685, 1684
1265, 1445, 1446, 1461, 1460, 1670, 1671, 1686, 1685
1266, 1446, 1447, 1462, 1461, 1671, 1672, 1687, 1686
1267, 1447, 1448, 1463, 1462, 1672, 1673, 1688, 1687
1268, 1448, 1449, 1464, 1463, 1673, 1674, 1689, 1688
1269, 1449, 1450, 1465, 1464, 1674, 1675, 1690, 1689
1270, 1450, 1451, 1466, 1465, 1675, 1676, 1691, 1690
1271, 1451, 1452, 1467, 1466, 1676, 1677, 1692, 1691
1272, 1452, 1453, 1468, 1467, 1677, 1678, 1693, 1692
1273, 1453, 1454, 1469, 1468, 1678, 1679, 1694, 1693
1274, 1454, 1455, 1470, 1469, 1679, 1680, 1695, 1694
1275, 1456, 1457, 1472, 1471, 1681, 1682, 1697, 1696
1276, 1457, 1458, 1473, 1472, 1682, 1683, 1698, 1697
1277, 1458, 1459, 1474, 1473, 1683, 1684, 1699, 1698
1278, 1459, 1460, 1475, 1474, 1684, 1685, 1700, 1699
1279, 1460, 1461, 1476, 1475, 1685, 1686, 1701, 1700
1280, 1461, 1462, 1477, 1476, 1686, 1687, 1702, 1701
1281, 1462, 1463, 1478, 1477, 1687, 1688, 1703, 1702
1282, 1463, 1464, 1479, 1478, 1688, 1689, 1704, 1703
1283, 1464, 1465, 1480, 1479, 1689, 1690, 1705, 1704
1284, 1465, 1466, 1481, 1480, 1690, 1691, 1706, 1705
1285, 1466, 1467, 1482, 1481, 1691, 1692, 1707, 1706
1286, 1467, 1468, 1483, 1482, 1692, 1693, 1708, 1707
1287, 1468, 1469, 1484, 1483, 1693, 1694, 1709, 1708
1288, 1469, 1470, 1485, 1484, 1694, 1695, 1710, 1709
1289, 1471, 1472, 1487, 1486, 1696, 1697, 1712, 1711
1290, 1472, 1473, 1488, 1487, 1697, 1698, 1713, 1712
1291, 1473, 1474, 1489, 1488, 1698, 1699, 1714, 1713
1292, 1474, 1475, 1490, 1489, 1699, 1700, 1715, 1714
1293, 1475, 1476, 1491, 1490, 1700, 1701, 1716, 1715
1294, 1476, 1477, 1492, 1491, 1701, 1702, 1717, 1716
1295, 1477, 1478, 1493, 1492, 1702, 1703, 1718, 1717
1296, 1478, 1479, 1494, 1493, 1703, 1704, 1719, 1718
1297, 1479, 1480, 1495, 1494, 1704, 1705, 1720, 1719
1298, 1480, 1481, 1496, 1495, 1705, 1706, 1721, 1720
1299, 1481, 1482, 1497, 1496, 1706, 1707, 1722, 1721
1300, 1482, 1483, 1498, 1497, 1707, 1708, 1723, 1722
1301, 1483, 1484, 1499, 1498, 1708, 1709, 1724, 1723
1302, 1484, 1485, 1500, 1499, 1709, 1710, 1725, 1724
1303, 1486, 1487, 1502, 1501, 1711, 1712, 1727, 1726
1304, 1487, 1488, 1503, 1502, 1712, 1713, 1728, 1727
1305, 1488, 1489, 1504, 1503, 1713, 1714, 1729, 1728
1306, 1489, 1490, 1505, 1504, 1714, 1715, 1730, 1729
1307, 1490, 1491, 1506, 1505, 1715, 1716, 1731, 1730
1308, 1491, 1492, 1507, 1506, 1716, 1717, 1732, 1731
1309, 1492, 1493, 1508, 1507, 1717, 1718, 1733, 1732
1310, 1493, 1494, 1509, 1508, 1718, 1719, 1734, 1733
1311, 1494, 1495, 1510, 1509, 1719, 1720, 1735, 1734
1312, 1495, 1496, 1511, 1510, 1720, 1721, 1736, 1735
1313, 1496, 1497, 1512, 1511, 1721, 1722, 1737, 1736
1314, 1497, 1498, 1513, 1512, 1722, 1723, 1738, 1737
1315, 1498, 1499, 1514, 1513, 1723, 1724, 1739, 1738
1316, 1499, 1500, 1515, 1514, 1724, 1725, 1740, 1739
1317, 1501, 1502, 1517, 1516, 1726, 1727, 1742, 1741
1318, 1502, 1503, 1518, 1517, 1727, 1728, 1743, 1742
1319, 1503, 1504, 1519, 1518, 1728, 1729, 1744, 1743
1320, 1504, 1505, 1520, 1519, 1729, 1730, 1745, 1744
1321, 1505, 1506, 1521, 1520, 1730, 1731, 1746, 1745
1322, 1506, 1507, 1522, 1521, 1731, 1732, 1747, 1746
1323, 1507, 1508, 1523, 1522, 1732, 1733, 1748, 1747
1324, 1508, 1509, 1524, 1523, 1733, 1734, 1749, 1748
1325, 1509, 1510, 1525, 1524, 1734, 1735, 1750, 1749
1326, 1510, 1511, 1526, 1525, 1735, 1736, 1751, 1750
1327, 1511, 1512, 1527, 1526, 1736, 1737, 1752, 1751
1328, 1512, 1513, 1528, 1527, 1737, 1738, 1753, 1752
1329, 1513, 1514, 1529, 1528, 1738, 1739, 1754, 1753
1330, 1514, 1515, 1530, 1529, 1739, 1740, 1755, 1754
1331, 1516, 1517, 1532, 1531, 1741, 1742, 1757, 1756
1332, 1517, 1518, 1533, 1532, 1742, 1743, 1758, 1757
1333, 1518, 1519, 1534, 1533, 1743, 1744, 1759, 1758
1334, 1519, 1520, 1535, 1534, 1744, 1745, 1760, 1759
1335, 1520, 1521, 1536, 1535, 1745, 1746, 1761, 1760
1336, 1521, 1522, 1537, 1536, 1746, 1747, 1762, 1761
1337, 1522, 1523, 1538, 1537, 1747, 1748, 1763, 1762
1338, 1523, 1524, 1539, 1538, 1748, 1749, 1764, 1763
1339, 1524, 1525, 1540, 1539, 1749, 1750, 1765, 1764
1340, 1525, 1526, 1541, 1540, 1750, 1751, 1766, 1765
1341, 1526, 1527, 1542, 1541, 1751, 1752, 1767, 1766
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1343, 1528, 1529, 1544, 1543, 1753, 1754, 1769, 1768
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1345, 1531, 1532, 1547, 1546, 1756, 1757, 1772, 1771
1346, 1532, 1533, 1548, 1547, 1757, 1758, 1773, 1772
1347, 1533, 1534, 1549, 1548, 1758, 1759, 1774, 1773
1348, 1534, 1535, 1550, 1549, 1759, 1760, 1775, 1774
1349, 1535, 1536, 1551, 1550, 1760, 1761, 1776, 1775
1350, 1536, 1537, 1552, 1551, 1761, 1762, 1777, 1776
1351, 1537, 1538, 1553, 1552, 1762, 1763, 1778, 1777
1352, 1538, 1539, 1554, 1553, 1763, 1764, 1779, 1778
1353, 1539, 1540, 1555, 1554, 1764, 1765, 1780, 1779
1354, 1540, 1541, 1556, 1555, 1765, 1766, 1781, 1780
1355, 1541, 1542, 1557, 1556, 1766, 1767, 1782, 1781
1356, 1542, 1543, 1558, 1557, 1767, 1768, 1783, 1782
1357, 1543, 1544, 1559, 1558, 1768, 1769, 1784, 1783
1358, 1544, 1545, 1560, 1559, 1769, 1770, 1785, 1784
1359, 1546, 1547, 1562, 1561, 1771, 1772, 1787, 1786
1360, 1547, 1548, 1563, 1562, 1772, 1773, 1788, 1787
1361, 1548, 1549, 1564, 1563, 1773, 1774, 1789, 1788
1362, 1549, 1550, 1565, 1564, 1774, 1775, 1790, 1789
1363, 1550, 1551, 1566, 1565, 1775, 1776, 1791, 1790
1364, 1551, 1552, 1567, 1566, 1776, 1777, 1792, 1791
1365, 1552, 1553, 1568, 1567, 1777, 1778, 1793, 1792
1366, 1553, 1554, 1569, 1568, 1778, 1779, 1794, 1793
1367, 1554, 1555, 1570, 1569, 1779, 1780, 1795, 1794
1368, 1555, 1556, 1571, 1570, 1780, 1781, 1796, 1795
1369, 1556, 1557, 1572, 1571, 1781, 1782, 1797, 1796
1370, 1557, 1558, 1573, 1572, 1782, 1783, 1798, 1797
1371, 1558, 1559, 1574, 1573, 1783, 1784, 1799, 1798
1372, 1559, 1560, 1575, 1574, 1784, 1785, 1800, 1799
1373, 1576, 1577, 1592, 1591, 1801, 1802, 1817, 1816
1374, 1577, 1578, 1593, 1592, 1802, 1803, 1818, 1817
1375, 1578, 1579, 1594, 1593, 1803, 1804, 1819, 1818
1376, 1579, 1580, 1595, 1594, 1804, 1805, 1820, 1819
1377, 1580, 1581, 1596, 1595, 1805, 1806, 1821, 1820
1378, 1581, 1582, 1597, 1596, 1806, 1807, 1822, 1821
1379, 1582, 1583, 1598, 1597, 1807, 1808, 1823, 1822
1380, 1583, 1584, 1599, 1598, 1808, 1809, 1824, 1823
1381, 1584, 1585, 1600, 1599, 1809, 1810, 1825, 1824
1382, 1585, 1586, 1601, 1600, 1810, 1811, 1826, 1825
1383, 1586, 1587, 1602, 1601, 1811, 1812, 1827, 1826
1384, 1587, 1588, 1603, 1602, 1812, 1813, 1828, 1827
1385, 1588, 1589, 1604, 1603, 1813, 1814, 1829, 1828
1386, 1589, 1590, 1605, 1604, 1814, 1815, 1830, 1829
1387, 1591, 1592, 1607, 1606, 1816, 1817, 1832, 1831
1388, 1592, 1593, 1608, 1607, 1817, 1818, 1833, 1832
1389, 1593, 1594, 1609, 1608, 1818, 1819, 1834, 1833
1390, 1594, 1595, 1610, 1609, 1819, 1820, 1835, 1834
1391, 1595, 1596, 1611, 1610, 1820, 1821, 1836, 1835
1392, 1596, 1597, 1612, 1611, 1821, 1822, 1837, 1836
1393, 1597, 1598, 1613, 1612, 1822, 1823, 1838, 1837
1394, 1598, 1599, 1614, 1613, 1823, 1824, 1839, 1838
1395, 1599, 1600, 1615, 1614, 1824, 1825, 1840, 1839
1396, 1600, 1601, 1616, 1615, 1825, 1826, 1841, 1840
1397, 1601, 1602, 1617, 1616, 1826, 1827, 1842, 1841
1398, 1602, 1603, 1618, 1617, 1827, 1828, 1843, 1842
1399, 1603, 1604, 1619, 1618, 1828, 1829, 1844, 1843
1400, 1604, 1605, 1620, 1619, 1829, 1830, 1845, 1844
1401, 1606, 1607, 1622, 1621, 1831, 1832, 1847, 1846
1402, 1607, 1608, 1623, 1622, 1832, 1833, 1848, 1847
1403, 1608, 1609, 1624, 1623, 1833, 1834, 1849, 1848
1404, 1609, 1610, 1625, 1624, 1834, 1835, 1850, 1849
1405, 1610, 1611, 1626, 1625, 1835, 1836, 1851, 1850
1406, 1611, 1612, 1627, 1626, 1836, 1837, 1852, 1851
1407, 1612, 1613, 1628, 1627, 1837, 1838, 1853, 1852
1408, 1613, 1614, 1629, 1628, 1838, 1839, 1854, 1853
1409, 1614, 1615, 1630, 1629, 1839, 1840, 1855, 1854
1410, 1615, 1616, 1631, 1630, 1840, 1841, 1856, 1855
1411, 1616, 1617, 1632, 1631, 1841, 1842, 1857, 1856
1412, 1617, 1618, 1633, 1632, 1842, 1843, 1858, 1857
1413, 1618, 1619, 1634, 1633, 1843, 1844, 1859, 1858
1414, 1619, 1620, 1635, 1634, 1844, 1845, 1860, 1859
1415, 1621, 1622, 1637, 1636, 1846, 1847, 1862, 1861
1416, 1622, 1623, 1638, 1637, 1847, 1848, 1863, 1862
1417, 1623, 1624, 1639, 1638, 1848, 1849, 1864, 1863
1418, 1624, 1625, 1640, 1639, 1849, 1850, 1865, 1864
1419, 1625, 1626, 1641, 1640, 1850, 1851, 1866, 1865
1420, 1626, 1627, 1642, 1641, 1851, 1852, 1867, 1866
1421, 1627, 1628, 1643, 1642, 1852, 1853, 1868, 1867
1422, 1628, 1629, 1644, 1643, 1853, 1854, 1869, 1868
1423, 1629, 1630, 1645, 1644, 1854, 1855, 1870, 1869
1424, 1630, 1631, 1646, 1645, 1855, 1856, 1871, 1870
1425, 1631, 1632, 1647, 1646, 1856, 1857, 1872, 1871
1426, 1632, 1633, 1648, 1647, 1857, 1858, 1873, 1872
1427, 1633, 1634, 1649, 1648, 1858, 1859, 1874, 1873
1428, 1634, 1635, 1650, 1649, 1859, 1860, 1875, 1874
1429, 1636, 1637, 1652, 1651, 1861, 1862, 1877, 1876
1430, 1637, 1638, 1653, 1652, 1862, 1863, 1878, 1877
1431, 1638, 1639, 1654, 1653, 1863, 1864, 1879, 1878
1432, 1639, 1640, 1655, 1654, 1864, 1865, 1880, 1879
1433, 1640, 1641, 1656, 1655, 1865, 1866, 1881, 1880
1434, 1641, 1642, 1657, 1656, 1866, 1867, 1882, 1881
1435, 1642, 1643, 1658, 1657, 1867, 1868, 1883, 1882
1436, 1643, 1644, 1659, 1658, 1868, 1869, 1884, 1883
1437, 1644, 1645, 1660, 1659, 1869, 1870, 1885, 1884
1438, 1645, 1646, 1661, 1660, 1870, 1871, 1886, 1885
1439, 1646, 1647, 1662, 1661, 1871, 1872, 1887, 1886
1440, 1647, 1648, 1663, 1662, 1872, 1873, 1888, 1887
1441, 1648, 1649, 1664, 1663, 1873, 1874, 1889, 1888
1442, 1649, 1650, 1665, 1664, 1874, 1875, 1890, 1889
1443, 1651, 1652, 1667, 1666, 1876, 1877, 1892, 1891
1444, 1652, 1653, 1668, 1667, 1877, 1878, 1893, 1892
1445, 1653, 1654, 1669, 1668, 1878, 1879, 1894, 1893
1446, 1654, 1655, 1670, 1669, 1879, 1880, 1895, 1894
1447, 1655, 1656, 1671, 1670, 1880, 1881, 1896, 1895
1448, 1656, 1657, 1672, 1671, 1881, 1882, 1897, 1896
1449, 1657, 1658, 1673, 1672, 1882, 1883, 1898, 1897
1450, 1658, 1659, 1674, 1673, 1883, 1884, 1899, 1898
1451, 1659, 1660, 1675, 1674, 1884, 1885, 1900, 1899
1452, 1660, 1661, 1676, 1675, 1885, 1886, 1901, 1900
1453, 1661, 1662, 1677, 1676, 1886, 1887, 1902, 1901
1454, 1662, 1663, 1678, 1677, 1887, 1888, 1903, 1902
1455, 1663, 1664, 1679, 1678, 1888, 1889, 1904, 1903
1456, 1664, 1665, 1680, 1679, 1889, 1890, 1905, 1904
1457, 1666, 1667, 1682, 1681, 1891, 1892, 1907, 1906
1458, 1667, 1668, 1683, 1682, 1892, 1893, 1908, 1907
1459, 1668, 1669, 1684, 1683, 1893, 1894, 1909, 1908
1460, 1669, 1670, 1685, 1684, 1894, 1895, 1910, 1909
1461, 1670, 1671, 1686, 1685, 1895, 1896, 1911, 1910
1462, 1671, 1672, 1687, 1686, 1896, 1897, 1912, 1911
1463, 1672, 1673, 1688, 1687, 1897, 1898, 1913, 1912
1464, 1673, 1674, 1689, 1688, 1898, 1899, 1914, 1913
1465, 1674, 1675, 1690, 1689, 1899, 1900, 1915, 1914
1466, 1675, 1676, 1691, 1690, 1900, 1901, 1916, 1915
1467, 1676, 1677, 1692, 1691, 1901, 1902, 1917, 1916
1468, 1677, 1678, 1693, 1692, 1902, 1903, 1918, 1917
1469, 1678, 1679, 1694, 1693, 1903, 1904, 1919, 1918
1470, 1679, 1680, 1695, 1694, 1904, 1905, 1920, 1919
1471, 1681, 1682, 1697, 1696, 1906, 1907, 1922, 1921
1472, 1682, 1683, 1698, 1697, 1907, 1908, 1923, 1922
1473, 1683, 1684, 1699, 1698, 1908, 1909, 1924, 1923
1474, 1684, 1685, 1700, 1699, 1909, 1910, 1925, 1924
1475, 1685, 1686, 1701, 1700, 1910, 1911, 1926, 1925
1476, 1686, 1687, 1702, 1701, 1911, 1912, 1927, 1926
1477, 1687, 1688, 1703, 1702, 1912, 1913, 1928, 1927
1478, 1688, 1689, 1704, 1703, 1913, 1914, 1929, 1928
1479, 1689, 1690, 1705, 1704, 1914, 1915, 1930, 1929
1480, 1690, 1691, 1706, 1705, 1915, 1916, 1931, 1930
1481, 1691, 1692, 1707, 1706, 1916, 1917, 1932, 1931
1482, 1692, 1693, 1708, 1707, 1917, 1918, 1933, 1932
1483, 1693, 1694, 1709, 1708, 1918, 1919, 1934, 1933
1484, 1694, 1695, 1710, 1709, 1919, 1920, 1935, 1934
1485, 1696, 1697, 1712, 1711, 1921, 1922, 1937, 1936
1486, 1697, 1698, 1713, 1712, 1922, 1923, 1938, 1937
1487, 1698, 1699, 1714, 1713, 1923, 1924, 1939, 1938
1488, 1699, 1700, 1715, 1714, 1924, 1925, 1940, 1939
1489, 1700, 1701, 1716, 1715, 1925, 1926, 1941, 1940
1490, 1701, 1702, 1717, 1716, 1926, 1927, 1942, 1941
1491, 1702, 1703, 1718, 1717, 1927, 1928, 1943, 1942
1492, 1703, 1704, 1719, 1718, 1928, 1929, 1944, 1943
1493, 1704, 1705, 1720, 1719, 1929, 1930, 1945, 1944
1494, 1705, 1706, 1721, 1720, 1930, 1931, 1946, 1945
1495, 1706, 1707, 1722, 1721, 1931, 1932, 1947, 1946
1496, 1707, 1708, 1723, 1722, 1932, 1933, 1948, 1947
1497, 1708, 1709, 1724, 1723, 1933, 1934, 1949, 1948
1498, 1709, 1710, 1725, 1724, 1934, 1935, 1950, 1949
1499, 1711, 1712, 1727, 1726, 1936, 1937, 1952, 1951
1500, 1712, 1713, 1728, 1727, 1937, 1938, 1953, 1952
1501, 1713, 1714, 1729, 1728, 1938, 1939, 1954, 1953
1502, 1714, 1715, 1730, 1729, 1939, 1940, 1955, 1954
1503, 1715, 1716, 1731, 1730, 1940, 1941, 1956, 1955
1504, 1716, 1717, 1732, 1731, 1941, 1942, 1957, 1956
1505, 1717, 1718, 1733, 1732, 1942, 1943, 1958, 1957
1506, 1718, 1719, 1734, 1733, 1943, 1944, 1959, 1958
1507, 1719, 1720, 1735, 1734, 1944, 1945, 1960, 1959
1508, 1720, 1721, 1736, 1735, 1945, 1946, 1961, 1960
1509, 1721, 1722, 1737, 1736, 1946, 1947, 1962, 1961
1510, 1722, 1723, 1738, 1737, 1947, 1948, 1963, 1962
1511, 1723, 1724, 1739, 1738, 1948, 1949, 1964, 1963
1512, 1724, 1725, 1740, 1739, 1949, 1950, 1965, 1964
1513, 1726, 1727, 1742, 1741, 1951, 1952, 1967, 1966
1514, 1727, 1728, 1743, 1742, 1952, 1953, 1968, 1967
1515, 1728, 1729, 1744, 1743, 1953, 1954, 1969, 1968
1516, 1729, 1730, 1745, 1744, 1954, 1955, 1970, 1969
1517, 1730, 1731, 1746, 1745, 1955, 1956, 1971, 1970
1518, 1731, 1732, 1747, 1746, 1956, 1957, 1972, 1971
1519, 1732, 1733, 1748, 1747, 1957, 1958, 1973, 1972
1520, 1733, 1734, 1749, 1748, 1958, 1959, 1974, 1973
1521, 1734, 1735, 1750, 1749, 1959, 1960, 1975, 1974
1522, 1735, 1736, 1751, 1750, 1960, 1961, 1976, 1975
1523, 1736, 1737, 1752, 1751, 1961, 1962, 1977, 1976
1524, 1737, 1738, 1753, 1752, 1962, 1963, 1978, 1977
1525, 1738, 1739, 1754, 1753, 1963, 1964, 1979, 1978
1526, 1739, 1740, 1755, 1754, 1964, 1965, 1980, 1979
1527, 1741, 1742, 1757, 1756, 1966, 1967, 1982, 1981
1528, 1742, 1743, 1758, 1757, 1967, 1968, 1983, 1982
1529, 1743, 1744, 1759, 1758, 1968, 1969, 1984, 1983
1530, 1744, 1745, 1760, 1759, 1969, 1970, 1985, 1984
1531, 1745, 1746, 1761, 1760, 1970, 1971, 1986, 1985
1532, 1746, 1747, 1762, 1761, 1971, 1972, 1987, 1986
1533, 1747, 1748, 1763, 1762, 1972, 1973, 1988, 1987
1534, 1748, 1749, 1764, 1763, 1973, 1974, 1989, 1988
1535, 1749, 1750, 1765, 1764, 1974, 1975, 1990, 1989
1536, 1750, 1751, 1766, 1765, 1975, 1976, 1991, 1990
1537, 1751, 1752, 1767, 1766, 1976, 1977, 1992, 1991
1538, 1752, 1753, 1768, 1767, 1977, 1978, 1993, 1992
1539, 1753, 1754, 1769, 1768, 1978, 1979, 1994, 1993
1540, 1754, 1755, 1770, 1769, 1979, 1980, 1995, 1994
1541, 1756, 1757, 1772, 1771, 1981, 1982, 1997, 1996
1542, 1757, 1758, 1773, 1772, 1982, 1983, 1998, 1997
1543, 1758, 1759, 1774, 1773, 1983, 1984, 1999, 1998
1544, 1759, 1760, 1775, 1774, 1984, 1985, 2000, 1999
1545, 1760, 1761, 1776, 1775, 1985, 1986, 2001, 2000
1546, 1761, 1762, 1777, 1776, 1986, 1987, 2002, 2001
1547, 1762, 1763, 1778, 1777, 1987, 1988, 2003, 2002
1548, 1763, 1764, 1779, 1778, 1988, 1989, 2004, 2003
1549, 1764, 1765, 1780, 1779, 1989, 1990, 2005, 2004
1550, 1765, 1766, 1781, 1780, 1990, 1991, 2006, 2005
1551, 1766, 1767, 1782, 1781, 1991, 1992, 2007, 2006
1552, 1767, 1768, 1783, 1782, 1992, 1993, 2008, 2007
1553, 1768, 1769, 1784, 1783, 1993, 1994, 2009, 2008
1554, 1769, 1770, 1785, 1784, 1994, 1995, 2010, 2009
1555, 1771, 1772, 1787, 1786, 1996, 1997, 2012, 2011
1556, 1772, 1773, 1788, 1787, 1997, 1998, 2013, 2012
1557, 1773, 1774, 1789, 1788, 1998, 1999, 2014, 2013
1558, 1774, 1775, 1790, 1789, 1999, 2000, 2015, 2014
1559, 1775, 1776, 1791, 1790, 2000, 2001, 2016, 2015
1560, 1776, 1777, 1792, 1791, 2001, 2002, 2017, 2016
1561, 1777, 1778, 1793, 1792, 2002, 2003, 2018, 2017
1562, 1778, 1779, 1794, 1793, 2003, 2004, 2019, 2018
1563, 1779, 1780, 1795, 1794, 2004, 2005, 2020, 2019
1564, 1780, 1781, 1796, 1795, 2005, 2006, 2021, 2020
1565, 1781, 1782, 1797, 1796, 2006, 2007, 2022, 2021
1566, 1782, 1783, 1798, 1797, 2007, 2008, 2023, 2022
1567, 1783, 1784, 1799, 1798, 2008, 2009, 2024, 2023
1568, 1784, 1785, 1800, 1799, 2009, 2010, 2025, 2024
1569, 1801, 1802, 1817, 1816, 2026, 2027, 2042, 2041
1570, 1802, 1803, 1818, 1817, 2027, 2028, 2043, 2042
1571, 1803, 1804, 1819, 1818, 2028, 2029, 2044, 2043
1572, 1804, 1805, 1820, 1819, 2029, 2030, 2045, 2044
1573, 1805, 1806, 1821, 1820, 2030, 2031, 2046, 2045
1574, 1806, 1807, 1822, 1821, 2031, 2032, 2047, 2046
1575, 1807, 1808, 1823, 1822, 2032, 2033, 2048, 2047
1576, 1808, 1809, 1824, 1823, 2033, 2034, 2049, 2048
1577, 1809, 1810, 1825, 1824, 2034, 2035, 2050, 2049
1578, 1810, 1811, 1826, 1825, 2035, 2036, 2051, 2050
1579, 1811, 1812, 1827, 1826, 2036, 2037, 2052, 2051
1580, 1812, 1813, 1828, 1827, 2037, 2038, 2053, 2052
1581, 1813, 1814, 1829, 1828, 2038, 2039, 2054, 2053
1582, 1814, 1815, 1830, 1829, 2039, 2040, 2055, 2054
1583, 1816, 1817, 1832, 1831, 2041, 2042, 2057, 2056
1584, 1817, 1818, 1833, 1832, 2042, 2043, 2058, 2057
1585, 1818, 1819, 1834, 1833, 2043, 2044, 2059, 2058
1586, 1819, 1820, 1835, 1834, 2044, 2045, 2060, 2059
1587, 1820, 1821, 1836, 1835, 2045, 2046, 2061, 2060
1588, 1821, 1822, 1837, 1836, 2046, 2047, 2062, 2061
1589, 1822, 1823, 1838, 1837, 2047, 2048, 2063, 2062
1590, 1823, 1824, 1839, 1838, 2048, 2049, 2064, 2063
1591, 1824, 1825, 1840, 1839, 2049, 2050, 2065, 2064
1592, 1825, 1826, 1841, 1840, 2050, 2051, 2066, 2065
1593, 1826, 1827, 1842, 1841, 2051, 2052, 2067, 2066
1594, 1827, 1828, 1843, 1842, 2052, 2053, 2068, 2067
1595, 1828, 1829, 1844, 1843, 2053, 2054, 2069, 2068
1596, 1829, 1830, 1845, 1844, 2054, 2055, 2070, 2069
1597, 1831, 1832, 1847, 1846, 2056, 2057, 2072, 2071
1598, 1832, 1833, 1848, 1847, 2057, 2058, 2073, 2072
1599, 1833, 1834, 1849, 1848, 2058, 2059, 2074, 2073
1600, 1834, 1835, 1850, 1849, 2059, 2060, 2075, 2074
1601, 1835, 1836, 1851, 1850, 2060, 2061, 2076, 2075
1602, 1836, 1837, 1852, 1851, 2061, 2062, 2077, 2076
1603, 1837, 1838, 1853, 1852, 2062, 2063, 2078, 2077
1604, 1838, 1839, 1854, 1853, 2063, 2064, 2079, 2078
1605, 1839, 1840, 1855, 1854, 2064, 2065, 2080, 2079
1606, 1840, 1841, 1856, 1855, 2065, 2066, 2081, 2080
1607, 1841, 1842, 1857, 1856, 2066, 2067, 2082, 2081
1608, 1842, 1843, 1858, 1857, 2067, 2068, 2083, 2082
1609, 1843, 1844, 1859, 1858, 2068, 2069, 2084, 2083
1610, 1844, 1845, 1860, 1859, 2069, 2070, 2085, 2084
1611, 1846, 1847, 1862, 1861, 2071, 2072, 2087, 2086
1612, 1847, 1848, 1863, 1862, 2072, 2073, 2088, 2087
1613, 1848, 1849, 1864, 1863, 2073, 2074, 2089, 2088
1614, 1849, 1850, 1865, 1864, 2074, 2075, 2090, 2089
1615, 1850, 1851, 1866, 1865, 2075, 2076, 2091, 2090
1616, 1851, 1852, 1867, 1866, 2076, 2077, 2092, 2091
1617, 1852, 1853, 1868, 1867, 2077, 2078, 2093, 2092
1618, 1853, 1854, 1869, 1868, 2078, 2079, 2094, 2093
1619, 1854, 1855, 1870, 1869, 2079, 2080, 2095, 2094
1620, 1855, 1856, 1871, 1870, 2080, 2081, 2096, 2095
1621, 1856, 1857, 1872, 1871, 2081, 2082, 2097, 2096
1622, 1857, 1858, 1873, 1872, 2082, 2083, 2098, 2097
1623, 1858, 1859, 1874, 1873, 2083, 2084, 2099, 2098
1624, 1859, 1860, 1875, 1874, 2084, 2085, 2100, 2099
1625, 1861, 1862, 1877, 1876, 2086, 2087, 2102, 2101
1626, 1862, 1863, 1878, 1877, 2087, 2088, 2103, 2102
1627, 1863, 1864, 1879, 1878, 2088, 2089, 2104, 2103
1628, 1864, 1865, 1880, 1879, 2089, 2090, 2105, 2104
1629, 1865, 1866, 1881, 1880, 2090, 2091, 2106, 2105
1630, 1866, 1867, 1882, 1881, 2091, 2092, 2107, 2106
1631, 1867, 1868, 1883, 1882, 2092, 2093, 2108, 2107
1632, 1868, 1869, 1884, 1883, 2093, 2094, 2109, 2108
1633, 1869, 1870, 1885, 1884, 2094, 2095, 2110, 2109
1634, 1870, 1871, 1886, 1885, 2095, 2096, 2111, 2110
1635, 1871, 1872, 1887, 1886, 2096, 2097, 2112, 2111
1636, 1872, 1873, 1888, 1887, 2097, 2098, 2113, 2112
1637, 1873, 1874, 1889, 1888, 2098, 2099, 2114, 2113
1638, 1874, 1875, 1890, 1889, 2099, 2100, 2115, 2114
1639, 1876, 1877, 1892, 1891, 2101, 2102, 2117, 2116
1640, 1877, 1878, 1893, 1892, 2102, 2103, 2118, 2117
1641, 1878, 1879, 1894, 1893, 2103, 2104, 2119, 2118
1642, 1879, 1880, 1895, 1894, 2104, 2105, 2120, 2119
1643, 1880, 1881, 1896, 1895, 2105, 2106, 2121, 2120
1644, 1881, 1882, 1897, 1896, 2106, 2107, 2122, 2121
1645, 1882, 1883, 1898, 1897, 2107, 2108, 2123, 2122
1646, 1883, 1884, 1899, 1898, 2108, 2109, 2124, 2123
1647, 1884, 1885, 1900, 1899, 2109, 2110, 2125, 2124
1648, 1885, 1886, 1901, 1900, 2110, 2111, 2126, 2125
1649, 1886, 1887, 1902, 1901, 2111, 2112, 2127, 2126
1650, 1887, 1888, 1903, 1902, 2112, 2113, 2128, 2127
1651, 1888, 1889, 1904, 1903, 2113, 2114, 2129, 2128
1652, 1889, 1890, 1905, 1904, 2114, 2115, 2130, 2129
1653, 1891, 1892, 1907, 1906, 2116, 2117, 2132, 2131
1654, 1892, 1893, 1908, 1907, 2117, 2118, 2133, 2132
1655, 1893, 1894, 1909, 1908, 2118, 2119, 2134, 2133
1656, 1894, 1895, 1910, 1909, 2119, 2120, 2135, 2134
1657, 1895, 1896, 1911, 1910, 2120, 2121, 2136, 2135
1658, 1896, 1897, 1912, 1911, 2121, 2122, 2137, 2136
1659, 1897, 1898, 1913, 1912, 2122, 2123, 2138, 2137
1660, 1898, 1899, 1914, 1913, 2123, 2124, 2139, 2138
1661, 1899, 1900, 1915, 1914, 2124, 2125, 2140, 2139
1662, 1900, 1901, 1916, 1915, 2125, 2126, 2141, 2140
1663, 1901, 1902, 1917, 1916, 2126, 2127, 2142, 2141
1664, 1902, 1903, 1918, 1917, 2127, 2128, 2143, 2142
1665, 1903, 1904, 1919, 1918, 2128, 2129, 2144, 2143
1666, 1904, 1905, 1920, 1919, 2129, 2130, 2145, 2144
1667, 1906, 1907, 1922, 1921, 2131, 2132, 2147, 2146
1668, 1907, 1908, 1923, 1922, 2132, 2133, 2148, 2147
1669, 1908, 1909, 1924, 1923, 2133, 2134, 2149, 2148
1670, 1909, 1910, 1925, 1924, 2134, 2135, 2150, 2149
1671, 1910, 1911, 1926, 1925, 2135, 2136, 2151, 2150
1672, 1911, 1912, 1927, 1926, 2136, 2137, 2152, 2151
1673, 1912, 1913, 1928, 1927, 2137, 2138, 2153, 2152
1674, 1913, 1914, 1929, 1928, 2138, 2139, 2154, 2153
1675, 1914, 1915, 1930, 1929, 2139, 2140, 2155, 2154
1676, 1915, 1916, 1931, 1930, 2140, 2141, 2156, 2155
1677, 1916, 1917, 1932, 1931, 2141, 2142, 2157, 2156
1678, 1917, 1918, 1933, 1932, 2142, 2143, 2158, 2157
1679, 1918, 1919, 1934, 1933, 2143, 2144, 2159, 2158
1680, 1919, 1920, 1935, 1934, 2144, 2145, 2160, 2159
1681, 1921, 1922, 1937, 1936, 2146, 2147, 2162, 2161
1682, 1922, 1923, 1938, 1937, 2147, 2148, 2163, 2162
1683, 1923, 1924, 1939, 1938, 2148, 2149, 2164, 2163
1684, 1924, 1925, 1940, 1939, 2149, 2150, 2165, 2164
1685, 1925, 1926, 1941, 1940, 2150, 2151, 2166, 2165
1686, 1926, 1927, 1942, 1941, 2151, 2152, 2167, 2166
1687, 1927, 1928, 1943, 1942, 2152, 2153, 2168, 2167
1688, 1928, 1929, 1944, 1943, 2153, 2154, 2169, 2168
1689, 1929, 1930, 1945, 1944, 2154, 2155, 2170, 2169
1690, 1930, 1931, 1946, 1945, 2155, 2156, 2171, 2170
1691, 1931, 1932, 1947, 1946, 2156, 2157, 2172, 2171
1692, 1932, 1933, 1948, 1947, 2157, 2158, 2173, 2172
1693, 1933, 1934, 1949, 1948, 2158, 2159, 2174, 2173
1694, 1934, 1935, 1950, 1949, 2159, 2160, 2175, 2174
1695, 1936, 1937, 1952, 1951, 2161, 2162, 2177, 2176
1696, 1937, 1938, 1953, 1952, 2162, 2163, 2178, 2177
1697, 1938, 1939, 1954, 1953, 2163, 2164, 2179, 2178
1698, 1939, 1940, 1955, 1954, 2164, 2165, 2180, 2179
1699, 1940, 1941, 1956, 1955, 2165, 2166, 2181, 2180
1700, 1941, 1942, 1957, 1956, 2166, 2167, 2182, 2181
1701, 1942, 1943, 1958, 1957, 2167, 2168, 2183, 2182
1702, 1943, 1944, 1959, 1958, 2168, 2169, 2184, 2183
1703, 1944, 1945, 1960, 1959, 2169, 2170, 2185, 2184
1704, 1945, 1946, 1961, 1960, 2170, 2171, 2186, 2185
1705, 1946, 1947, 1962, 1961, 2171, 2172, 2187, 2186
1706, 1947, 1948, 1963, 1962, 2172, 2173, 2188, 2187
1707, 1948, 1949, 1964, 1963, 2173, 2174, 2189, 2188
1708, 1949, 1950, 1965, 1964, 2174, 2175, 2190, 2189
1709, 1951, 1952, 1967, 1966, 2176, 2177, 2192, 2191
1710, 1952, 1953, 1968, 1967, 2177, 2178, 2193, 2192
1711, 1953, 1954, 1969, 1968, 2178, 2179, 2194, 2193
1712, 1954, 1955, 1970, 1969, 2179, 2180, 2195, 2194
1713, 1955, 1956, 1971, 1970, 2180, 2181, 2196, 2195
1714, 1956, 1957, 1972, 1971, 2181, 2182, 2197, 2196
1715, 1957, 1958, 1973, 1972, 2182, 2183, 2198, 2197
1716, 1958, 1959, 1974, 1973, 2183, 2184, 2199, 2198
1717, 1959, 1960, 1975, 1974, 2184, 2185, 2200, 2199
1718, 1960, 1961, 1976, 1975, 2185, 2186, 2201, 2200
1719, 1961, 1962, 1977, 1976, 2186, 2187, 2202, 2201
1720, 1962, 1963, 1978, 1977, 2187, 2188, 2203, 2202
1721, 1963, 1964, 1979, 1978, 2188, 2189, 2204, 2203
1722, 1964, 1965, 1980, 1979, 2189, 2190, 2205, 2204
1723, 1966, 1967, 1982, 1981, 2191, 2192, 2207, 2206
1724, 1967, 1968, 1983, 1982, 2192, 2193, 2208, 2207
1725, 1968, 1969, 1984, 1983, 2193, 2194, 2209, 2208
1726, 1969, 1970, 1985, 1984, 2194, 2195, 2210, 2209
1727, 1970, 1971, 1986, 1985, 2195, 2196, 2211, 2210
1728, 1971, 1972, 1987, 1986, 2196, 2197, 2212, 2211
1729, 1972, 1973, 1988, 1987, 2197, 2198, 2213, 2212
1730, 1973, 1974, 1989, 1988, 2198, 2199, 2214, 2213
1731, 1974, 1975, 1990, 1989, 2199, 2200, 2215, 2214
1732, 1975, 1976, 1991, 1990, 2200, 2201, 2216, 2215
1733, 1976, 1977, 1992, 1991, 2201, 2202, 2217, 2216
1734, 1977, 1978, 1993, 1992, 2202, 2203, 2218, 2217
1735, 1978, 1979, 1994, 1993, 2203, 2204, 2219, 2218
1736, 1979, 1980, 1995, 1994, 2204, 2205, 2220, 2219
1737, 1981, 1982, 1997, 1996, 2206, 2207, 2222, 2221
1738, 1982, 1983, 1998, 1997, 2207, 2208, 2223, 2222
1739, 1983, 1984, 1999, 1998, 2208, 2209, 2224, 2223
1740, 1984, 1985, 2000, 1999, 2209, 2210, 2225, 2224
1741, 1985, 1986, 2001, 2000, 2210, 2211, 2226, 2225
1742, 1986, 1987, 2002, 2001, 2211, 2212, 2227, 2226
1743, 1987, 1988, 2003, 2002, 2212, 2213, 2228, 2227
1744, 1988, 1989, 2004, 2003, 2213, 2214, 2229, 2228
1745, 1989, 1990, 2005, 2004, 2214, 2215, 2230, 2229
1746, 1990, 1991, 2006, 2005, 2215, 2216, 2231, 2230
1747, 1991, 1992, 2007, 2006, 2216, 2217, 2232, 2231
1748, 1992, 1993, 2008, 2007, 2217, 2218, 2233, 2232
1749, 1993, 1994, 2009, 2008, 2218, 2219, 2234, 2233
1750, 1994, 1995, 2010, 2009, 2219, 2220, 2235, 2234
1751, 1996, 1997, 2012, 2011, 2221, 2222, 2237, 2236
1752, 1997, 1998, 2013, 2012, 2222, 2223, 2238, 2237
1753, 1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238
1754, 1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239
1755, 2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240
1756, 2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241
1757, 2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242
1758, 2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243
1759, 2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244
1760, 2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245
1761, 2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246
1762, 2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247
1763, 2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248
1764, 2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249
1765, 2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266
1766, 2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267
1767, 2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268
1768, 2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269
1769, 2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270
1770, 2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271
1771, 2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272
1772, 2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273
1773, 2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274
1774, 2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275
1775, 2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276
1776, 2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277
1777, 2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278
1778, 2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279
1779, 2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281
1780, 2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282
1781, 2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283
1782, 2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284
1783, 2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285
1784, 2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286
1785, 2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287
1786, 2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288
1787, 2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289
1788, 2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290
1789, 2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291
1790, 2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292
1791, 2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293
1792, 2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294
1793, 2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296
1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297
1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298
1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299
1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300
1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301
1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302
1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303
1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304
1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305
1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306
1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307
1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308
1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309
1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311
1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312
1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313
1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314
1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315
1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316
1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317
1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318
1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319
1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320
1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321
1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322
1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323
1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324
1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326
1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327
1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328
1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329
1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330
1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331
1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332
1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333
1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334
1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335
1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336
1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337
1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338
1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339
1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341
1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342
1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343
1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344
1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345
1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346
1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347
1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348
1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349
1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350
1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351
1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352
1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353
1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354
1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356
1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357
1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358
1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359
1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360
1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361
1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362
1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363
1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364
1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365
1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366
1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367
1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368
1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369
1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371
1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372
1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373
1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374
1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375
1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376
1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377
1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378
1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379
1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380
1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381
1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382
1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383
1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384
1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386
1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387
1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388
1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389
1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390
1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391
1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392
1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393
1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394
1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395
1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396
1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397
1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398
1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399
1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401
1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402
1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403
1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404
1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405
1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406
1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407
1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408
1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409
1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410
1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411
1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412
1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413
1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414
1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416
1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417
1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418
1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419
1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420
1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421
1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422
1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423
1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424
1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425
1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426
1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427
1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428
1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429
1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431
1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432
1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433
1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434
1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435
1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436
1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437
1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438
1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439
1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440
1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441
1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442
1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443
1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444
1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446
1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447
1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448
1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449
1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450
1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451
1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452
1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453
1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454
1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455
1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456
1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457
1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458
1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459
1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461
1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462
1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463
1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464
1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465
1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466
1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467
1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468
1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469
1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470
1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471
1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472
1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473
1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474
1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491
1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492
1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493
1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494
1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495
1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496
1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497
1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498
1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499
1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500
1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501
1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502
1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503
1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504
1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506
1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507
1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508
1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509
1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510
1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511
1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512
1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513
1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514
1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515
1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516
1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517
1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518
1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519
1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521
1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522
1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523
1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524
1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525
1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526
1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527
1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528
1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529
1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530
1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531
2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532
2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533
2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534
2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536
2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537
2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538
2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539
2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540
2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541
2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542
2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543
2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544
2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545
2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546
2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547
2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548
2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549
2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551
2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552
2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553
2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554
2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555
2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556
2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557
2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558
2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559
2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560
2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561
2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562
2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563
2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564
2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566
2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567
2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568
2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569
2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570
2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571
2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572
2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573
2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574
2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575
2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576
2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577
2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578
2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579
2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581
2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582
2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583
2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584
2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585
2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586
2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587
2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588
2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589
2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590
2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591
2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592
2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593
2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594
2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596
2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597
2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598
2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599
2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600
2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601
2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602
2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603
2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604
2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605
2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606
2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607
2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608
2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609
2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611
2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612
2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613
2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614
2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615
2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616
2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617
2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618
2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619
2082, 2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620
2083, 2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621
2084, 2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622
2085, 2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623
2086, 2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624
2087, 2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626
2088, 2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627
2089, 2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628
2090, 2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629
2091, 2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630
2092, 2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631
2093, 2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632
2094, 2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633
2095, 2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634
2096, 2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635
2097, 2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636
2098, 2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637
2099, 2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638
2100, 2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639
2101, 2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641
2102, 2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642
2103, 2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643
2104, 2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644
2105, 2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645
2106, 2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646
2107, 2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647
2108, 2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648
2109, 2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649
2110, 2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650
2111, 2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651
2112, 2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652
2113, 2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653
2114, 2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654
2115, 2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656
2116, 2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657
2117, 2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658
2118, 2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659
2119, 2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660
2120, 2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661
2121, 2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662
2122, 2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663
2123, 2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664
2124, 2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665
2125, 2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666
2126, 2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667
2127, 2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668
2128, 2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669
2129, 2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671
2130, 2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672
2131, 2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673
2132, 2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674
2133, 2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675
2134, 2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676
2135, 2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677
2136, 2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678
2137, 2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679
2138, 2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680
2139, 2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681
2140, 2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682
2141, 2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683
2142, 2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684
2143, 2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686
2144, 2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687
2145, 2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688
2146, 2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689
2147, 2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690
2148, 2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691
2149, 2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692
2150, 2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693
2151, 2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694
2152, 2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695
2153, 2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696
2154, 2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697
2155, 2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698
2156, 2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699
2157, 2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716
2158, 2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717
2159, 2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718
2160, 2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719
2161, 2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720
2162, 2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721
2163, 2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722
2164, 2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723
2165, 2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724
2166, 2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725
2167, 2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726
2168, 2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727
2169, 2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728
2170, 2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729
2171, 2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731
2172, 2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732
2173, 2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733
2174, 2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734
2175, 2495, 2496, 2511, 2510, 2720, 2721, 2736, 2735
2176, 2496, 2497, 2512, 2511, 2721, 2722, 2737, 2736
2177, 2497, 2498, 2513, 2512, 2722, 2723, 2738, 2737
2178, 2498, 2499, 2514, 2513, 2723, 2724, 2739, 2738
2179, 2499, 2500, 2515, 2514, 2724, 2725, 2740, 2739
2180, 2500, 2501, 2516, 2515, 2725, 2726, 2741, 2740
2181, 2501, 2502, 2517, 2516, 2726, 2727, 2742, 2741
2182, 2502, 2503, 2518, 2517, 2727, 2728, 2743, 2742
2183, 2503, 2504, 2519, 2518, 2728, 2729, 2744, 2743
2184, 2504, 2505, 2520, 2519, 2729, 2730, 2745, 2744
2185, 2506, 2507, 2522, 2521, 2731, 2732, 2747, 2746
2186, 2507, 2508, 2523, 2522, 2732, 2733, 2748, 2747
2187, 2508, 2509, 2524, 2523, 2733, 2734, 2749, 2748
2188, 2509, 2510, 2525, 2524, 2734, 2735, 2750, 2749
2189, 2510, 2511, 2526, 2525, 2735, 2736, 2751, 2750
2190, 2511, 2512, 2527, 2526, 2736, 2737, 2752, 2751
2191, 2512, 2513, 2528, 2527, 2737, 2738, 2753, 2752
2192, 2513, 2514, 2529, 2528, 2738, 2739, 2754, 2753
2193, 2514, 2515, 2530, 2529, 2739, 2740, 2755, 2754
2194, 2515, 2516, 2531, 2530, 2740, 2741, 2756, 2755
2195, 2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756
2196, 2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757
2197, 2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758
2198, 2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759
2199, 2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761
2200, 2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762
2201, 2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763
2202, 2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764
2203, 2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765
2204, 2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766
2205, 2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767
2206, 2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768
2207, 2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769
2208, 2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770
2209, 2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771
2210, 2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772
2211, 2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773
2212, 2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774
2213, 2536, 2537, 2552, 2551, 2761, 2762, 2777, 2776
2214, 2537, 2538, 2553, 2552, 2762, 2763, 2778, 2777
2215, 2538, 2539, 2554, 2553, 2763, 2764, 2779, 2778
2216, 2539, 2540, 2555, 2554, 2764, 2765, 2780, 2779
2217, 2540, 2541, 2556, 2555, 2765, 2766, 2781, 2780
2218, 2541, 2542, 2557, 2556, 2766, 2767, 2782, 2781
2219, 2542, 2543, 2558, 2557, 2767, 2768, 2783, 2782
2220, 2543, 2544, 2559, 2558, 2768, 2769, 2784, 2783
2221, 2544, 2545, 2560, 2559, 2769, 2770, 2785, 2784
2222, 2545, 2546, 2561, 2560, 2770, 2771, 2786, 2785
2223, 2546, 2547, 2562, 2561, 2771, 2772, 2787, 2786
2224, 2547, 2548, 2563, 2562, 2772, 2773, 2788, 2787
2225, 2548, 2549, 2564, 2563, 2773, 2774, 2789, 2788
2226, 2549, 2550, 2565, 2564, 2774, 2775, 2790, 2789
2227, 2551, 2552, 2567, 2566, 2776, 2777, 2792, 2791
2228, 2552, 2553, 2568, 2567, 2777, 2778, 2793, 2792
2229, 2553, 2554, 2569, 2568, 2778, 2779, 2794, 2793
2230, 2554, 2555, 2570, 2569, 2779, 2780, 2795, 2794
2231, 2555, 2556, 2571, 2570, 2780, 2781, 2796, 2795
2232, 2556, 2557, 2572, 2571, 2781, 2782, 2797, 2796
2233, 2557, 2558, 2573, 2572, 2782, 2783, 2798, 2797
2234, 2558, 2559, 2574, 2573, 2783, 2784, 2799, 2798
2235, 2559, 2560, 2575, 2574, 2784, 2785, 2800, 2799
2236, 2560, 2561, 2576, 2575, 2785, 2786, 2801, 2800
2237, 2561, 2562, 2577, 2576, 2786, 2787, 2802, 2801
2238, 2562, 2563, 2578, 2577, 2787, 2788, 2803, 2802
2239, 2563, 2564, 2579, 2578, 2788, 2789, 2804, 2803
2240, 2564, 2565, 2580, 2579, 2789, 2790, 2805, 2804
2241, 2566, 2567, 2582, 2581, 2791, 2792, 2807, 2806
2242, 2567, 2568, 2583, 2582, 2792, 2793, 2808, 2807
2243, 2568, 2569, 2584, 2583, 2793, 2794, 2809, 2808
2244, 2569, 2570, 2585, 2584, 2794, 2795, 2810, 2809
2245, 2570, 2571, 2586, 2585, 2795, 2796, 2811, 2810
2246, 2571, 2572, 2587, 2586, 2796, 2797, 2812, 2811
2247, 2572, 2573, 2588, 2587, 2797, 2798, 2813, 2812
2248, 2573, 2574, 2589, 2588, 2798, 2799, 2814, 2813
2249, 2574, 2575, 2590, 2589, 2799, 2800, 2815, 2814
2250, 2575, 2576, 2591, 2590, 2800, 2801, 2816, 2815
2251, 2576, 2577, 2592, 2591, 2801, 2802, 2817, 2816
2252, 2577, 2578, 2593, 2592, 2802, 2803, 2818, 2817
2253, 2578, 2579, 2594, 2593, 2803, 2804, 2819, 2818
2254, 2579, 2580, 2595, 2594, 2804, 2805, 2820, 2819
2255, 2581, 2582, 2597, 2596, 2806, 2807, 2822, 2821
2256, 2582, 2583, 2598, 2597, 2807, 2808, 2823, 2822
2257, 2583, 2584, 2599, 2598, 2808, 2809, 2824, 2823
2258, 2584, 2585, 2600, 2599, 2809, 2810, 2825, 2824
2259, 2585, 2586, 2601, 2600, 2810, 2811, 2826, 2825
2260, 2586, 2587, 2602, 2601, 2811, 2812, 2827, 2826
2261, 2587, 2588, 2603, 2602, 2812, 2813, 2828, 2827
2262, 2588, 2589, 2604, 2603, 2813, 2814, 2829, 2828
2263, 2589, 2590, 2605, 2604, 2814, 2815, 2830, 2829
2264, 2590, 2591, 2606, 2605, 2815, 2816, 2831, 2830
2265, 2591, 2592, 2607, 2606, 2816, 2817, 2832, 2831
2266, 2592, 2593, 2608, 2607, 2817, 2818, 2833, 2832
2267, 2593, 2594, 2609, 2608, 2818, 2819, 2834, 2833
2268, 2594, 2595, 2610, 2609, 2819, 2820, 2835, 2834
2269, 2596, 2597, 2612, 2611, 2821, 2822, 2837, 2836
2270, 2597, 2598, 2613, 2612, 2822, 2823, 2838, 2837
2271, 2598, 2599, 2614, 2613, 2823, 2824, 2839, 2838
2272, 2599, 2600, 2615, 2614, 2824, 2825, 2840, 2839
2273, 2600, 2601, 2616, 2615, 2825, 2826, 2841, 2840
2274, 2601, 2602, 2617, 2616, 2826, 2827, 2842, 2841
2275, 2602, 2603, 2618, 2617, 2827, 2828, 2843, 2842
2276, 2603, 2604, 2619, 2618, 2828, 2829, 2844, 2843
2277, 2604, 2605, 2620, 2619, 2829, 2830, 2845, 2844
2278, 2605, 2606, 2621, 2620, 2830, 2831, 2846, 2845
2279, 2606, 2607, 2622, 2621, 2831, 2832, 2847, 2846
2280, 2607, 2608, 2623, 2622, 2832, 2833, 2848, 2847
2281, 2608, 2609, 2624, 2623, 2833, 2834, 2849, 2848
2282, 2609, 2610, 2625, 2624, 2834, 2835, 2850, 2849
2283, 2611, 2612, 2627, 2626, 2836, 2837, 2852, 2851
2284, 2612, 2613, 2628, 2627, 2837, 2838, 2853, 2852
2285, 2613, 2614, 2629, 2628, 2838, 2839, 2854, 2853
2286, 2614, 2615, 2630, 2629, 2839, 2840, 2855, 2854
2287, 2615, 2616, 2631, 2630, 2840, 2841, 2856, 2855
2288, 2616, 2617, 2632, 2631, 2841, 2842, 2857, 2856
2289, 2617, 2618, 2633, 2632, 2842, 2843, 2858, 2857
2290, 2618, 2619, 2634, 2633, 2843, 2844, 2859, 2858
2291, 2619, 2620, 2635, 2634, 2844, 2845, 2860, 2859
2292, 2620, 2621, 2636, 2635, 2845, 2846, 2861, 2860
2293, 2621, 2622, 2637, 2636, 2846, 2847, 2862, 2861
2294, 2622, 2623, 2638, 2637, 2847, 2848, 2863, 2862
2295, 2623, 2624, 2639, 2638, 2848, 2849, 2864, 2863
2296, 2624, 2625, 2640, 2639, 2849, 2850, 2865, 2864
2297, 2626, 2627, 2642, 2641, 2851, 2852, 2867, 2866
2298, 2627, 2628, 2643, 2642, 2852, 2853, 2868, 2867
2299, 2628, 2629, 2644, 2643, 2853, 2854, 2869, 2868
2300, 2629, 2630, 2645, 2644, 2854, 2855, 2870, 2869
2301, 2630, 2631, 2646, 2645, 2855, 2856, 2871, 2870
2302, 2631, 2632, 2647, 2646, 2856, 2857, 2872, 2871
2303, 2632, 2633, 2648, 2647, 2857, 2858, 2873, 2872
2304, 2633, 2634, 2649, 2648, 2858, 2859, 2874, 2873
2305, 2634, 2635, 2650, 2649, 2859, 2860, 2875, 2874
2306, 2635, 2636, 2651, 2650, 2860, 2861, 2876, 2875
2307, 2636, 2637, 2652, 2651, 2861, 2862, 2877, 2876
2308, 2637, 2638, 2653, 2652, 2862, 2863, 2878, 2877
2309, 2638, 2639, 2654, 2653, 2863, 2864, 2879, 2878
2310, 2639, 2640, 2655, 2654, 2864, 2865, 2880, 2879
2311, 2641, 2642, 2657, 2656, 2866, 2867, 2882, 2881
2312, 2642, 2643, 2658, 2657, 2867, 2868, 2883, 2882
2313, 2643, 2644, 2659, 2658, 2868, 2869, 2884, 2883
2314, 2644, 2645, 2660, 2659, 2869, 2870, 2885, 2884
2315, 2645, 2646, 2661, 2660, 2870, 2871, 2886, 2885
2316, 2646, 2647, 2662, 2661, 2871, 2872, 2887, 2886
2317, 2647, 2648, 2663, 2662, 2872, 2873, 2888, 2887
2318, 2648, 2649, 2664, 2663, 2873, 2874, 2889, 2888
2319, 2649, 2650, 2665, 2664, 2874, 2875, 2890, 2889
2320, 2650, 2651, 2666, 2665, 2875, 2876, 2891, 2890
2321, 2651, 2652, 2667, 2666, 2876, 2877, 2892, 2891
2322, 2652, 2653, 2668, 2667, 2877, 2878, 2893, 2892
2323, 2653, 2654, 2669, 2668, 2878, 2879, 2894, 2893
2324, 2654, 2655, 2670, 2669, 2879, 2880, 2895, 2894
2325, 2656, 2657, 2672, 2671, 2881, 2882, 2897, 2896
2326, 2657, 2658, 2673, 2672, 2882, 2883, 2898, 2897
2327, 2658, 2659, 2674, 2673, 2883, 2884, 2899, 2898
2328, 2659, 2660, 2675, 2674, 2884, 2885, 2900, 2899
2329, 2660, 2661, 2676, 2675, 2885, 2886, 2901, 2900
2330, 2661, 2662, 2677, 2676, 2886, 2887, 2902, 2901
2331, 2662, 2663, 2678, 2677, 2887, 2888, 2903, 2902
2332, 2663, 2664, 2679, 2678, 2888, 2889, 2904, 2903
2333, 2664, 2665, 2680, 2679, 2889, 2890, 2905, 2904
2334, 2665, 2666, 2681, 2680, 2890, 2891, 2906, 2905
2335, 2666, 2667, 2682, 2681, 2891, 2892, 2907, 2906
2336, 2667, 2668, 2683, 2682, 2892, 2893, 2908, 2907
2337, 2668, 2669, 2684, 2683, 2893, 2894, 2909, 2908
2338, 2669, 2670, 2685, 2684, 2894, 2895, 2910, 2909
2339, 2671, 2672, 2687, 2686, 2896, 2897, 2912, 2911
2340, 2672, 2673, 2688, 2687, 2897, 2898, 2913, 2912
2341, 2673, 2674, 2689, 2688, 2898, 2899, 2914, 2913
2342, 2674, 2675, 2690, 2689, 2899, 2900, 2915, 2914
2343, 2675, 2676, 2691, 2690, 2900, 2901, 2916, 2915
2344, 2676, 2677, 2692, 2691, 2901, 2902, 2917, 2916
2345, 2677, 2678, 2693, 2692, 2902, 2903, 2918, 2917
2346, 2678, 2679, 2694, 2693, 2903, 2904, 2919, 2918
2347, 2679, 2680, 2695, 2694, 2904, 2905, 2920, 2919
2348, 2680, 2681, 2696, 2695, 2905, 2906, 2921, 2920
2349, 2681, 2682, 2697, 2696, 2906, 2907, 2922, 2921
2350, 2682, 2683, 2698, 2697, 2907, 2908, 2923, 2922
2351, 2683, 2684, 2699, 2698, 2908, 2909, 2924, 2923
2352, 2684, 2685, 2700, 2699, 2909, 2910, 2925, 2924
2353, 2701, 2702, 2717, 2716, 2926, 2927, 2942, 2941
2354, 2702, 2703, 2718, 2717, 2927, 2928, 2943, 2942
2355, 2703, 2704, 2719, 2718, 2928, 2929, 2944, 2943
2356, 2704, 2705, 2720, 2719, 2929, 2930, 2945, 2944
2357, 2705, 2706, 2721, 2720, 2930, 2931, 2946, 2945
2358, 2706, 2707, 2722, 2721, 2931, 2932, 2947, 2946
2359, 2707, 2708, 2723, 2722, 2932, 2933, 2948, 2947
2360, 2708, 2709, 2724, 2723, 2933, 2934, 2949, 2948
2361, 2709, 2710, 2725, 2724, 2934, 2935, 2950, 2949
2362, 2710, 2711, 2726, 2725, 2935, 2936, 2951, 2950
2363, 2711, 2712, 2727, 2726, 2936, 2937, 2952, 2951
2364, 2712, 2713, 2728, 2727, 2937, 2938, 2953, 2952
2365, 2713, 2714, 2729, 2728, 2938, 2939, 2954, 2953
2366, 2714, 2715, 2730, 2729, 2939, 2940, 2955, 2954
2367, 2716, 2717, 2732, 2731, 2941, 2942, 2957, 2956
2368, 2717, 2718, 2733, 2732, 2942, 2943, 2958, 2957
2369, 2718, 2719, 2734, 2733, 2943, 2944, 2959, 2958
2370, 2719, 2720, 2735, 2734, 2944, 2945, 2960, 2959
2371, 2720, 2721, 2736, 2735, 2945, 2946, 2961, 2960
2372, 2721, 2722, 2737, 2736, 2946, 2947, 2962, 2961
2373, 2722, 2723, 2738, 2737, 2947, 2948, 2963, 2962
2374, 2723, 2724, 2739, 2738, 2948, 2949, 2964, 2963
2375, 2724, 2725, 2740, 2739, 2949, 2950, 2965, 2964
2376, 2725, 2726, 2741, 2740, 2950, 2951, 2966, 2965
2377, 2726, 2727, 2742, 2741, 2951, 2952, 2967, 2966
2378, 2727, 2728, 2743, 2742, 2952, 2953, 2968, 2967
2379, 2728, 2729, 2744, 2743, 2953, 2954, 2969, 2968
2380, 2729, 2730, 2745, 2744, 2954, 2955, 2970, 2969
2381, 2731, 2732, 2747, 2746, 2956, 2957, 2972, 2971
2382, 2732, 2733, 2748, 2747, 2957, 2958, 2973, 2972
2383, 2733, 2734, 2749, 2748, 2958, 2959, 2974, 2973
2384, 2734, 2735, 2750, 2749, 2959, 2960, 2975, 2974
2385, 2735, 2736, 2751, 2750, 2960, 2961, 2976, 2975
2386, 2736, 2737, 2752, 2751, 2961, 2962, 2977, 2976
2387, 2737, 2738, 2753, 2752, 2962, 2963, 2978, 2977
2388, 2738, 2739, 2754, 2753, 2963, 2964, 2979, 2978
2389, 2739, 2740, 2755, 2754, 2964, 2965, 2980, 2979
2390, 2740, 2741, 2756, 2755, 2965, 2966, 2981, 2980
2391, 2741, 2742, 2757, 2756, 2966, 2967, 2982, 2981
2392, 2742, 2743, 2758, 2757, 2967, 2968, 2983, 2982
2393, 2743, 2744, 2759, 2758, 2968, 2969, 2984, 2983
2394, 2744, 2745, 2760, 2759, 2969, 2970, 2985, 2984
2395, 2746, 2747, 2762, 2761, 2971, 2972, 2987, 2986
2396, 2747, 2748, 2763, 2762, 2972, 2973, 2988, 2987
2397, 2748, 2749, 2764, 2763, 2973, 2974, 2989, 2988
2398, 2749, 2750, 2765, 2764, 2974, 2975, 2990, 2989
2399, 2750, 2751, 2766, 2765, 2975, 2976, 2991, 2990
2400, 2751, 2752, 2767, 2766, 2976, 2977, 2992, 2991
2401, 2752, 2753, 2768, 2767, 2977, 2978, 2993, 2992
2402, 2753, 2754, 2769, 2768, 2978, 2979, 2994, 2993
2403, 2754, 2755, 2770, 2769, 2979, 2980, 2995, 2994
2404, 2755, 2756, 2771, 2770, 2980, 2981, 2996, 2995
2405, 2756, 2757, 2772, 2771, 2981, 2982, 2997, 2996
2406, 2757, 2758, 2773, 2772, 2982, 2983, 2998, 2997
2407, 2758, 2759, 2774, 2773, 2983, 2984, 2999, 2998
2408, 2759, 2760, 2775, 2774, 2984, 2985, 3000, 2999
2409, 2761, 2762, 2777, 2776, 2986, 2987, 3002, 3001
2410, 2762, 2763, 2778, 2777, 2987, 2988, 3003, 3002
2411, 2763, 2764, 2779, 2778, 2988, 2989, 3004, 3003
2412, 2764, 2765, 2780, 2779, 2989, 2990, 3005, 3004
2413, 2765, 2766, 2781, 2780, 2990, 2991, 3006, 3005
2414, 2766, 2767, 2782, 2781, 2991, 2992, 3007, 3006
2415, 2767, 2768, 2783, 2782, 2992, 2993, 3008, 3007
2416, 2768, 2769, 2784, 2783, 2993, 2994, 3009, 3008
2417, 2769, 2770, 2785, 2784, 2994, 2995, 3010, 3009
2418, 2770, 2771, 2786, 2785, 2995, 2996, 3011, 3010
2419, 2771, 2772, 2787, 2786, 2996, 2997, 3012, 3011
2420, 2772, 2773, 2788, 2787, 2997, 2998, 3013, 3012
2421, 2773, 2774, 2789, 2788, 2998, 2999, 3014, 3013
2422, 2774, 2775, 2790, 2789, 2999, 3000, 3015, 3014
2423, 2776, 2777, 2792, 2791, 3001, 3002, 3017, 3016
2424, 2777, 2778, 2793, 2792, 3002, 3003, 3018, 3017
2425, 2778, 2779, 2794, 2793, 3003, 3004, 3019, 3018
2426, 2779, 2780, 2795, 2794, 3004, 3005, 3020, 3019
2427, 2780, 2781, 2796, 2795, 3005, 3006, 3021, 3020
2428, 2781, 2782, 2797, 2796, 3006, 3007, 3022, 3021
2429, 2782, 2783, 2798, 2797, 3007, 3008, 3023, 3022
2430, 2783, 2784, 2799, 2798, 3008, 3009, 3024, 3023
2431, 2784, 2785, 2800, 2799, 3009, 3010, 3025, 3024
2432, 2785, 2786, 2801, 2800, 3010, 3011, 3026, 3025
2433, 2786, 2787, 2802, 2801, 3011, 3012, 3027, 3026
2434, 2787, 2788, 2803, 2802, 3012, 3013, 3028, 3027
2435, 2788, 2789, 2804, 2803, 3013, 3014, 3029, 3028
2436, 2789, 2790, 2805, 2804, 3014, 3015, 3030, 3029
2437, 2791, 2792, 2807, 2806, 3016, 3017, 3032, 3031
2438, 2792, 2793, 2808, 2807, 3017, 3018, 3033, 3032
2439, 2793, 2794, 2809, 2808, 3018, 3019, 3034, 3033
2440, 2794, 2795, 2810, 2809, 3019, 3020, 3035, 3034
2441, 2795, 2796, 2811, 2810, 3020, 3021, 3036, 3035
2442, 2796, 2797, 2812, 2811, 3021, 3022, 3037, 3036
2443, 2797, 2798, 2813, 2812, 3022, 3023, 3038, 3037
2444, 2798, 2799, 2814, 2813, 3023, 3024, 3039, 3038
2445, 2799, 2800, 2815, 2814, 3024, 3025, 3040, 3039
2446, 2800, 2801, 2816, 2815, 3025, 3026, 3041, 3040
2447, 2801, 2802, 2817, 2816, 3026, 3027, 3042, 3041
2448, 2802, 2803, 2818, 2817, 3027, 3028, 3043, 3042
2449, 2803, 2804, 2819, 2818, 3028, 3029, 3044, 3043
2450, 2804, 2805, 2820, 2819, 3029, 3030, 3045, 3044
2451, 2806, 2807, 2822, 2821, 3031, 3032, 3047, 3046
2452, 2807, 2808, 2823, 2822, 3032, 3033, 3048, 3047
2453, 2808, 2809, 2824, 2823, 3033, 3034, 3049, 3048
2454, 2809, 2810, 2825, 2824, 3034, 3035, 3050, 3049
2455, 2810, 2811, 2826, 2825, 3035, 3036, 3051, 3050
2456, 2811, 2812, 2827, 2826, 3036, 3037, 3052, 3051
2457, 2812, 2813, 2828, 2827, 3037, 3038, 3053, 3052
2458, 2813, 2814, 2829, 2828, 3038, 3039, 3054, 3053
2459, 2814, 2815, 2830, 2829, 3039, 3040, 3055, 3054
2460, 2815, 2816, 2831, 2830, 3040, 3041, 3056, 3055
2461, 2816, 2817, 2832, 2831, 3041, 3042, 3057, 3056
2462, 2817, 2818, 2833, 2832, 3042, 3043, 3058, 3057
2463, 2818, 2819, 2834, 2833, 3043, 3044, 3059, 3058
2464, 2819, 2820, 2835, 2834, 3044, 3045, 3060, 3059
2465, 2821, 2822, 2837, 2836, 3046, 3047, 3062, 3061
2466, 2822, 2823, 2838, 2837, 3047, 3048, 3063, 3062
2467, 2823, 2824, 2839, 2838, 3048, 3049, 3064, 3063
2468, 2824, 2825, 2840, 2839, 3049, 3050, 3065, 3064
2469, 2825, 2826, 2841, 2840, 3050, 3051, 3066, 3065
2470, 2826, 2827, 2842, 2841, 3051, 3052, 3067, 3066
2471, 2827, 2828, 2843, 2842, 3052, 3053, 3068, 3067
2472, 2828, 2829, 2844, 2843, 3053, 3054, 3069, 3068
2473, 2829, 2830, 2845, 2844, 3054, 3055, 3070, 3069
2474, 2830, 2831, 2846, 2845, 3055, 3056, 3071, 3070
2475, 2831, 2832, 2847, 2846, 3056, 3057, 3072, 3071
2476, 2832, 2833, 2848, 2847, 3057, 3058, 3073, 3072
2477, 2833, 2834, 2849, 2848, 3058, 3059, 3074, 3073
2478, 2834, 2835, 2850, 2849, 3059, 3060, 3075, 3074
2479, 2836, 2837, 2852, 2851, 3061, 3062, 3077, 3076
2480, 2837, 2838, 2853, 2852, 3062, 3063, 3078, 3077
2481, 2838, 2839, 2854, 2853, 3063, 3064, 3079, 3078
2482, 2839, 2840, 2855, 2854, 3064, 3065, 3080, 3079
2483, 2840, 2841, 2856, 2855, 3065, 3066, 3081, 3080
2484, 2841, 2842, 2857, 2856, 3066, 3067, 3082, 3081
2485, 2842, 2843, 2858, 2857, 3067, 3068, 3083, 3082
2486, 2843, 2844, 2859, 2858, 3068, 3069, 3084, 3083
2487, 2844, 2845, 2860, 2859, 3069, 3070, 3085, 3084
2488, 2845, 2846, 2861, 2860, 3070, 3071, 3086, 3085
2489, 2846, 2847, 2862, 2861, 3071, 3072, 3087, 3086
2490, 2847, 2848, 2863, 2862, 3072, 3073, 3088, 3087
2491, 2848, 2849, 2864, 2863, 3073, 3074, 3089, 3088
2492, 2849, 2850, 2865, 2864, 3074, 3075, 3090, 3089
2493, 2851, 2852, 2867, 2866, 3076, 3077, 3092, 3091
2494, 2852, 2853, 2868, 2867, 3077, 3078, 3093, 3092
2495, 2853, 2854, 2869, 2868, 3078, 3079, 3094, 3093
2496, 2854, 2855, 2870, 2869, 3079, 3080, 3095, 3094
2497, 2855, 2856, 2871, 2870, 3080, 3081, 3096, 3095
2498, 2856, 2857, 2872, 2871, 3081, 3082, 3097, 3096
2499, 2857, 2858, 2873, 2872, 3082, 3083, 3098, 3097
2500, 2858, 2859, 2874, 2873, 3083, 3084, 3099, 3098
2501, 2859, 2860, 2875, 2874, 3084, 3085, 3100, 3099
2502, 2860, 2861, 2876, 2875, 3085, 3086, 3101, 3100
2503, 2861, 2862, 2877, 2876, 3086, 3087, 3102, 3101
2504, 2862, 2863, 2878, 2877, 3087, 3088, 3103, 3102
2505, 2863, 2864, 2879, 2878, 3088, 3089, 3104, 3103
2506, 2864, 2865, 2880, 2879, 3089, 3090, 3105, 3104
2507, 2866, 2867, 2882, 2881, 3091, 3092, 3107, 3106
2508, 2867, 2868, 2883, 2882, 3092, 3093, 3108, 3107
2509, 2868, 2869, 2884, 2883, 3093, 3094, 3109, 3108
2510, 2869, 2870, 2885, 2884, 3094, 3095, 3110, 3109
2511, 2870, 2871, 2886, 2885, 3095, 3096, 3111, 3110
2512, 2871, 2872, 2887, 2886, 3096, 3097, 3112, 3111
2513, 2872, 2873, 2888, 2887, 3097, 3098, 3113, 3112
2514, 2873, 2874, 2889, 2888, 3098, 3099, 3114, 3113
2515, 2874, 2875, 2890, 2889, 3099, 3100, 3115, 3114
2516, 2875, 2876, 2891, 2890, 3100, 3101, 3116, 3115
2517, 2876, 2877, 2892, 2891, 3101, 3102, 3117, 3116
2518, 2877, 2878, 2893, 2892, 3102, 3103, 3118, 3117
2519, 2878, 2879, 2894, 2893, 3103, 3104, 3119, 3118
2520, 2879, 2880, 2895, 2894, 3104, 3105, 3120, 3119
2521, 2881, 2882, 2897, 2896, 3106, 3107, 3122, 3121
2522, 2882, 2883, 2898, 2897, 3107, 3108, 3123, 3122
2523, 2883, 2884, 2899, 2898, 3108, 3109, 3124, 3123
2524, 2884, 2885, 2900, 2899, 3109, 3110, 3125, 3124
2525, 2885, 2886, 2901, 2900, 3110, 3111, 3126, 3125
2526, 2886, 2887, 2902, 2901, 3111, 3112, 3127, 3126
2527, 2887, 2888, 2903, 2902, 3112, 3113, 3128, 3127
2528, 2888, 2889, 2904, 2903, 3113, 3114, 3129, 3128
2529, 2889, 2890, 2905, 2904, 3114, 3115, 3130, 3129
2530, 2890, 2891, 2906, 2905, 3115, 3116, 3131, 3130
2531, 2891, 2892, 2907, 2906, 3116, 3117, 3132, 3131
2532, 2892, 2893, 2908, 2907, 3117, 3118, 3133, 3132
2533, 2893, 2894, 2909, 2908, 3118, 3119, 3134, 3133
2534, 2894, 2895, 2910, 2909, 3119, 3120, 3135, 3134
2535, 2896, 2897, 2912, 2911, 3121, 3122, 3137, 3136
2536, 2897, 2898, 2913, 2912, 3122, 3123, 3138, 3137
2537, 2898, 2899, 2914, 2913, 3123, 3124, 3139, 3138
2538, 2899, 2900, 2915, 2914, 3124, 3125, 3140, 3139
2539, 2900, 2901, 2916, 2915, 3125, 3126, 3141, 3140
2540, 2901, 2902, 2917, 2916, 3126, 3127, 3142, 3141
2541, 2902, 2903, 2918, 2917, 3127, 3128, 3143, 3142
2542, 2903, 2904, 2919, 2918, 3128, 3129, 3144, 3143
2543, 2904, 2905, 2920, 2919, 3129, 3130, 3145, 3144
2544, 2905, 2906, 2921, 2920, 3130, 3131, 3146, 3145
2545, 2906, 2907, 2922, 2921, 3131, 3132, 3147, 3146
2546, 2907, 2908, 2923, 2922, 3132, 3133, 3148, 3147
2547, 2908, 2909, 2924, 2923, 3133, 3134, 3149, 3148
2548, 2909, 2910, 2925, 2924, 3134, 3135, 3150, 3149
2549, 2926, 2927, 2942, 2941, 3151, 3152, 3167, 3166
2550, 2927, 2928, 2943, 2942, 3152, 3153, 3168, 3167
2551, 2928, 2929, 2944, 2943, 3153, 3154, 3169, 3168
2552, 2929, 2930, 2945, 2944, 3154, 3155, 3170, 3169
2553, 2930, 2931, 2946, 2945, 3155, 3156, 3171, 3170
2554, 2931, 2932, 2947, 2946, 3156, 3157, 3172, 3171
2555, 2932, 2933, 2948, 2947, 3157, 3158, 3173, 3172
2556, 2933, 2934, 2949, 2948, 3158, 3159, 3174, 3173
2557, 2934, 2935, 2950, 2949, 3159, 3160, 3175, 3174
2558, 2935, 2936, 2951, 2950, 3160, 3161, 3176, 3175
2559, 2936, 2937, 2952, 2951, 3161, 3162, 3177, 3176
2560, 2937, 2938, 2953, 2952, 3162, 3163, 3178, 3177
2561, 2938, 2939, 2954, 2953, 3163, 3164, 3179, 3178
2562, 2939, 2940, 2955, 2954, 3164, 3165, 3180, 3179
2563, 2941, 2942, 2957, 2956, 3166, 3167, 3182, 3181
2564, 2942, 2943, 2958, 2957, 3167, 3168, 3183, 3182
2565, 2943, 2944, 2959, 2958, 3168, 3169, 3184, 3183
2566, 2944, 2945, 2960, 2959, 3169, 3170, 3185, 3184
2567, 2945, 2946, 2961, 2960, 3170, 3171, 3186, 3185
2568, 2946, 2947, 2962, 2961, 3171, 3172, 3187, 3186
2569, 2947, 2948, 2963, 2962, 3172, 3173, 3188, 3187
2570, 2948, 2949, 2964, 2963, 3173, 3174, 3189, 3188
2571, 2949, 2950, 2965, 2964, 3174, 3175, 3190, 3189
2572, 2950, 2951, 2966, 2965, 3175, 3176, 3191, 3190
2573, 2951, 2952, 2967, 2966, 3176, 3177, 3192, 3191
2574, 2952, 2953, 2968, 2967, 3177, 3178, 3193, 3192
2575, 2953, 2954, 2969, 2968, 3178, 3179, 3194, 3193
2576, 2954, 2955, 2970, 2969, 3179, 3180, 3195, 3194
2577, 2956, 2957, 2972, 2971, 3181, 3182, 3197, 3196
2578, 2957, 2958, 2973, 2972, 3182, 3183, 3198, 3197
2579, 2958, 2959, 2974, 2973, 3183, 3184, 3199, 3198
2580, 2959, 2960, 2975, 2974, 3184, 3185, 3200, 3199
2581, 2960, 2961, 2976, 2975, 3185, 3186, 3201, 3200
2582, 2961, 2962, 2977, 2976, 3186, 3187, 3202, 3201
2583, 2962, 2963, 2978, 2977, 3187, 3188, 3203, 3202
2584, 2963, 2964, 2979, 2978, 3188, 3189, 3204, 3203
2585, 2964, 2965, 2980, 2979, 3189, 3190, 3205, 3204
2586, 2965, 2966, 2981, 2980, 3190, 3191, 3206, 3205
2587, 2966, 2967, 2982, 2981, 3191, 3192, 3207, 3206
2588, 2967, 2968, 2983, 2982, 3192, 3193, 3208, 3207
2589, 2968, 2969, 2984, 2983, 3193, 3194, 3209, 3208
2590, 2969, 2970, 2985, 2984, 3194, 3195, 3210, 3209
2591, 2971, 2972, 2987, 2986, 3196, 3197, 3212, 3211
2592, 2972, 2973, 2988, 2987, 3197, 3198, 3213, 3212
2593, 2973, 2974, 2989, 2988, 3198, 3199, 3214, 3213
2594, 2974, 2975, 2990, 2989, 3199, 3200, 3215, 3214
2595, 2975, 2976, 2991, 2990, 3200, 3201, 3216, 3215
2596, 2976, 2977, 2992, 2991, 3201, 3202, 3217, 3216
2597, 2977, 2978, 2993, 2992, 3202, 3203, 3218, 3217
2598, 2978, 2979, 2994, 2993, 3203, 3204, 3219, 3218
2599, 2979, 2980, 2995, 2994, 3204, 3205, 3220, 3219
2600, 2980, 2981, 2996, 2995, 3205, 3206, 3221, 3220
2601, 2981, 2982, 2997, 2996, 3206, 3207, 3222, 3221
2602, 2982, 2983, 2998, 2997, 3207, 3208, 3223, 3222
2603, 2983, 2984, 2999, 2998, 3208, 3209, 3224, 3223
2604, 2984, 2985, 3000, 2999, 3209, 3210, 3225, 3224
2605, 2986, 2987, 3002, 3001, 3211, 3212, 3227, 3226
2606, 2987, 2988, 3003, 3002, 3212, 3213, 3228, 3227
2607, 2988, 2989, 3004, 3003, 3213, 3214, 3229, 3228
2608, 2989, 2990, 3005, 3004, 3214, 3215, 3230, 3229
2609, 2990, 2991, 3006, 3005, 3215, 3216, 3231, 3230
2610, 2991, 2992, 3007, 3006, 3216, 3217, 3232, 3231
2611, 2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232
2612, 2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233
2613, 2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234
2614, 2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235
2615, 2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236
2616, 2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237
2617, 2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238
2618, 2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239
2619, 3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241
2620, 3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242
2621, 3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243
2622, 3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244
2623, 3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245
2624, 3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246
2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247
2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248
2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249
2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250
2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251
2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252
2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253
2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254
2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256
2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257
2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258
2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259
2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260
2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261
2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262
2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263
2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264
2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265
2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266
2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267
2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268
2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269
2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271
2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272
2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273
2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274
2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275
2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276
2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277
2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278
2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279
2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280
2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281
2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282
2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283
2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284
2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286
2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287
2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288
2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289
2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290
2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291
2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292
2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293
2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294
2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295
2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296
2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297
2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298
2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299
2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301
2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302
2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303
2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304
2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305
2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306
2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307
2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308
2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309
2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310
2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311
2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312
2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313
2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314
2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316
2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317
2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318
2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319
2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320
2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321
2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322
2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323
2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324
2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325
2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326
2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327
2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328
2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329
2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331
2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332
2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333
2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334
2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335
2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336
2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337
2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338
2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339
2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340
2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341
2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342
2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343
2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344
2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346
2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347
2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348
2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349
2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350
2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351
2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352
2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353
2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354
2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355
2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356
2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357
2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358
2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359
2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361
2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362
2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363
2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364
2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365
2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366
2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367
2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368
2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369
2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370
2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371
2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372
2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373
2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374
*Elset, elset=GRAIN-1
85, 86, 87, 88, 89, 99, 100, 101, 102
103, 104, 105, 106, 113, 114, 115, 116, 117
118, 119, 120, 127, 128, 129, 130, 131, 132
133, 134, 135, 141, 142, 143, 144, 145, 146
147, 148, 149, 155, 156, 157, 158, 159, 160
161, 162, 163, 169, 170, 171, 172, 173, 174
175, 176, 177, 183, 184, 185, 186, 187, 188
189, 190, 281, 282, 283, 284, 285, 286, 295
296, 297, 298, 299, 300, 301, 302, 309, 310
311, 312, 313, 314, 315, 316, 323, 324, 325
326, 327, 328, 329, 330, 331, 337, 338, 339
340, 341, 342, 343, 344, 345, 351, 352, 353
354, 355, 356, 357, 358, 359, 365, 366, 367
368, 369, 370, 371, 372, 373, 379, 380, 381
382, 383, 384, 385, 386, 387, 477, 478, 479
480, 481, 482, 483, 491, 492, 493, 494, 495
496, 497, 498, 505, 506, 507, 508, 509, 510
511, 512, 519, 520, 521, 522, 523, 524, 525
526, 527, 533, 534, 535, 536, 537, 538, 539
540, 541, 547, 548, 549, 550, 551, 552, 553
554, 555, 561, 562, 563, 564, 565, 566, 567
568, 569, 575, 576, 577, 578, 579, 580, 581
582, 583, 673, 674, 675, 676, 677, 678, 679
687, 688, 689, 690, 691, 692, 693, 701, 702
703, 704, 705, 706, 707, 708, 715, 716, 717
718, 719, 720, 721, 722, 723, 729, 730, 731
732, 733, 734, 735, 736, 737, 743, 744, 745
746, 747, 748, 749, 750, 751, 757, 758, 759
760, 761, 762, 763, 764, 765, 771, 772, 773
774, 775, 776, 777, 778, 779, 869, 870, 871
872, 873, 874, 883, 884, 885, 886, 887, 888
889, 897, 898, 899, 900, 901, 902, 903, 904
911, 912, 913, 914, 915, 916, 917, 918, 925
926, 927, 928, 929, 930, 931, 932, 939, 940
941, 942, 943, 944, 945, 946, 953, 954, 955
956, 957, 958, 959, 960, 967, 968, 969, 970
971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079
1080, 1081, 1082, 1083, 1084, 1085, 1093, 1094, 1095
1096, 1097, 1098, 1099, 1107, 1108, 1109, 1110, 1111
1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126
1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141
1142, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156
1163, 1164, 1165, 1166, 1167, 1168, 1169, 1275, 1276
1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293
1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318
1319, 1320, 1321, 1322, 1323, 1333, 1334, 1335, 1336
1337, 1348, 1349, 1350, 1362, 1363, 1364
*Elset, elset=GRAIN-2
827, 841, 842, 855, 856, 981, 982, 995, 996
997, 1009, 1010, 1011, 1012, 1023, 1024, 1025, 1026
1037, 1038, 1039, 1040, 1041, 1051, 1052, 1053, 1054
1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192
1193, 1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209
1210, 1219, 1220, 1221, 1222, 1223, 1224, 1233, 1234
1235, 1236, 1237, 1238, 1247, 1248, 1249, 1250, 1251
1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376
1377, 1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403
1404, 1405, 1406, 1415, 1416, 1417, 1418, 1419, 1420
1429, 1430, 1431, 1432, 1433, 1434, 1443, 1444, 1445
1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571
1572, 1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600
1601, 1611, 1612, 1613, 1614, 1615, 1625, 1626, 1627
1628, 1629, 1639, 1640, 1641, 1642, 1653, 1765, 1766
1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808
1809, 1810, 1821, 1822, 1823, 1824
*Elset, elset=GRAIN-3
2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071
2083, 2236, 2237, 2238, 2239, 2240, 2250, 2251, 2252
2253, 2254, 2264, 2265, 2266, 2267, 2268, 2279, 2280
2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449
2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477
2628, 2629, 2630, 2631, 2632, 2642, 2643, 2644, 2645
2646, 2656, 2657, 2658, 2659, 2660, 2671, 2672, 2673
*Elset, elset=GRAIN-4
1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367
1533, 1534, 1535, 1547, 1548, 1549, 1561, 1562, 1563
1729, 1730, 1731, 1743, 1744, 1745, 1757, 1758, 1759
*Elset, elset=GRAIN-5
907, 919, 920, 921, 933, 934, 1100, 1101, 1102
1103, 1115, 1116, 1117, 1129, 1130, 1131, 1144, 1298
1311, 1312, 1325, 1326
*Elset, elset=GRAIN-6
1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493
1505, 1506, 1507, 1508, 1519, 1520, 1521, 1674, 1687
1688, 1689, 1701, 1702, 1703, 1704, 1716, 1717
*Elset, elset=GRAIN-7
1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989
1990, 1991, 1992, 2003, 2004, 2005, 2006, 2017, 2018
2019, 2157, 2158, 2159, 2160, 2161, 2171, 2172, 2173
2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200
2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227
2228, 2229, 2353, 2354, 2355, 2356, 2357, 2367, 2368
2369, 2370, 2371, 2381, 2382, 2383, 2384, 2385, 2395
2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413
2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550
2551, 2552, 2553, 2563, 2564, 2565, 2566, 2567, 2577
2578, 2579, 2580, 2581, 2591, 2592, 2593, 2594, 2595
2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622
2623, 2633, 2634, 2635, 2636
*Elset, elset=GRAIN-8
848, 849, 862, 863, 875, 876, 1030, 1031, 1043
1044, 1045, 1046, 1056, 1057, 1058, 1059, 1060, 1070
1071, 1072, 1073, 1074, 1086, 1087, 1225, 1239, 1240
1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267
1268, 1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450
1451, 1463, 1464, 1465
*Elset, elset=GRAIN-9
988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183
1184, 1185, 1186, 1197, 1198, 1199, 1200, 1211, 1212
1213, 1214, 1226, 1227, 1228, 1378, 1379, 1380, 1381
1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410
1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578
1579, 1589, 1590, 1591, 1592, 1604, 1605, 1606, 1618
1619, 1620, 1772, 1773, 1774, 1786, 1787, 1788, 1800
1801
*Elset, elset=GRAIN-10
1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160
1161, 1162, 1173, 1174, 1175, 1176, 1313, 1314, 1315
1316, 1327, 1328, 1329, 1330, 1340, 1341, 1342, 1343
1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370
1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523
1524, 1525, 1526, 1536, 1537, 1538, 1539, 1540, 1550
1551, 1552, 1553, 1554, 1564, 1565, 1566, 1567, 1568
1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722
1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749
1750, 1760, 1761, 1762, 1763, 1764, 1915, 1916, 1929
1930, 1931, 1942, 1943, 1944, 1945, 1946, 1956, 1957
1958, 1959, 1960
*Elset, elset=GRAIN-11
110, 111, 112, 123, 124, 125, 126, 136, 137
138, 139, 140, 150, 151, 152, 153, 154, 164
165, 166, 167, 168, 178, 179, 180, 181, 182
191, 192, 193, 194, 195, 196, 306, 307, 308
319, 320, 321, 322, 332, 333, 334, 335, 336
346, 347, 348, 349, 350, 360, 361, 362, 363
364, 374, 375, 376, 377, 378, 388, 389, 390
391, 392, 503, 504, 515, 516, 517, 518, 528
529, 530, 531, 532, 542, 543, 544, 545, 546
556, 557, 558, 559, 560, 570, 571, 572, 573
574, 584, 585, 586, 587, 588, 712, 713, 714
724, 725, 726, 727, 728, 738, 739, 740, 741
742, 752, 753, 754, 755, 756, 766, 767, 768
769, 770, 780, 781, 782, 783, 784, 922, 923
924, 935, 936, 937, 938, 949, 950, 951, 952
963, 964, 965, 966, 977, 978, 979, 980
*Elset, elset=GRAIN-12
1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617
1630, 1631, 1768, 1769, 1770, 1771, 1782, 1783, 1784
1785, 1796, 1797, 1798, 1799, 1811, 1812, 1813, 1825
1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007
2008, 2021, 2022
*Elset, elset=GRAIN-13
699, 700, 881, 882, 894, 895, 896, 908, 909
910, 1076, 1077, 1078, 1090, 1091, 1092, 1104, 1105
1106, 1118, 1119, 1120, 1272, 1273, 1274, 1286, 1287
1288, 1300, 1301, 1302
*Elset, elset=GRAIN-14
79, 92, 93, 94, 95, 107, 108, 109, 121
122, 275, 288, 289, 290, 291, 303, 304, 305
317, 318, 471, 484, 485, 486, 487, 499, 500
501, 502, 513, 514, 667, 680, 681, 682, 683
694, 695, 696, 697, 698, 709, 710, 711, 864
877, 878, 879, 890, 891, 892, 893, 905, 906
*Elset, elset=GRAIN-15
1677, 1690, 1691, 1873, 1886, 1887, 1901
*Elset, elset=GRAIN-16
1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466
1467, 1480, 1481, 1494, 1495
*Elset, elset=GRAIN-17
1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899
1900, 1910, 1911, 1912, 1913, 1914, 1924, 1925, 1926
1927, 1928, 1938, 1939, 1940, 1941, 1953, 1954, 1955
2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080
2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105
2106, 2107, 2108, 2109, 2110, 2119, 2120, 2121, 2122
2123, 2124, 2133, 2134, 2135, 2136, 2137, 2138, 2147
2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259
2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276
2277, 2278, 2287, 2288, 2289, 2290, 2291, 2292, 2301
2302, 2303, 2304, 2305, 2306, 2315, 2316, 2317, 2318
2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343
2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444
2455, 2456, 2457, 2458, 2459, 2469, 2470, 2471, 2472
2473, 2474, 2483, 2484, 2485, 2486, 2487, 2488, 2497
2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514
2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539
2540, 2541, 2542, 2543, 2544, 2637, 2638, 2639, 2640
2641, 2651, 2652, 2653, 2654, 2655, 2665, 2666, 2667
2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684
2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708
2709, 2710, 2711, 2712, 2721, 2722, 2723, 2724, 2725
2726, 2735, 2736, 2737, 2738, 2739, 2740
*Elset, elset=GRAIN-18
1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189
1190, 1201, 1202, 1203, 1204, 1215, 1216, 1217, 1218
1229, 1230, 1231, 1232, 1243, 1244, 1245, 1246, 1257
1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398
1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427
1428, 1439, 1440, 1441, 1442, 1453, 1454, 1455, 1456
1580, 1581, 1582, 1593, 1594, 1595, 1596, 1607, 1608
1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637
1638
*Elset, elset=GRAIN-19
1, 2, 3, 4, 5, 6, 7, 8, 9
15, 16, 17, 18, 19, 20, 21, 22, 23
29, 30, 31, 32, 33, 34, 35, 36, 37
43, 44, 45, 46, 47, 48, 49, 50, 51
57, 58, 59, 60, 61, 62, 63, 64, 65
71, 72, 73, 74, 75, 76, 77, 78, 90
91, 197, 198, 199, 200, 201, 202, 203, 204
205, 211, 212, 213, 214, 215, 216, 217, 218
219, 225, 226, 227, 228, 229, 230, 231, 232
233, 239, 240, 241, 242, 243, 244, 245, 246
247, 253, 254, 255, 256, 257, 258, 259, 260
261, 267, 268, 269, 270, 271, 272, 273, 274
287, 393, 394, 395, 396, 397, 398, 399, 400
401, 407, 408, 409, 410, 411, 412, 413, 414
415, 421, 422, 423, 424, 425, 426, 427, 428
429, 435, 436, 437, 438, 439, 440, 441, 442
449, 450, 451, 452, 453, 454, 455, 456, 463
464, 465, 466, 467, 468, 469, 470, 589, 590
591, 592, 593, 594, 595, 596, 603, 604, 605
606, 607, 608, 609, 610, 617, 618, 619, 620
621, 622, 623, 624, 631, 632, 633, 634, 635
636, 637, 638, 645, 646, 647, 648, 649, 650
651, 652, 659, 660, 661, 662, 663, 664, 665
666, 785, 786, 787, 788, 789, 790, 791, 792
799, 800, 801, 802, 803, 804, 805, 806, 813
814, 815, 816, 817, 818, 819, 820, 828, 829
830, 831, 832, 833, 834, 843, 844, 845, 846
847, 857, 858, 859, 860, 861, 983, 984, 985
986, 987, 998, 999, 1000, 1001, 1013, 1014, 1015
1027, 1028, 1029, 1042
*Elset, elset=GRAIN-20
10, 11, 12, 13, 14, 24, 25, 26, 27
28, 38, 39, 40, 41, 42, 52, 53, 54
55, 56, 66, 67, 68, 69, 70, 80, 81
82, 83, 84, 96, 97, 98, 206, 207, 208
209, 210, 220, 221, 222, 223, 224, 234, 235
236, 237, 238, 248, 249, 250, 251, 252, 262
263, 264, 265, 266, 276, 277, 278, 279, 280
292, 293, 294, 402, 403, 404, 405, 406, 416
417, 418, 419, 420, 430, 431, 432, 433, 434
443, 444, 445, 446, 447, 448, 457, 458, 459
460, 461, 462, 472, 473, 474, 475, 476, 488
489, 490, 597, 598, 599, 600, 601, 602, 611
612, 613, 614, 615, 616, 625, 626, 627, 628
629, 630, 639, 640, 641, 642, 643, 644, 653
654, 655, 656, 657, 658, 668, 669, 670, 671
672, 684, 685, 686, 793, 794, 795, 796, 797
798, 807, 808, 809, 810, 811, 812, 821, 822
823, 824, 825, 826, 835, 836, 837, 838, 839
840, 850, 851, 852, 853, 854, 865, 866, 867
868, 880, 991, 992, 993, 994, 1004, 1005, 1006
1007, 1008, 1018, 1019, 1020, 1021, 1022, 1032, 1033
1034, 1035, 1047, 1048, 1061
*Elset, elset=GRAIN-21
1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802
1803, 1804, 1805, 1806, 1817, 1818, 1819, 1820, 1832
1833, 1834, 1970, 1971, 1972, 1973, 1974, 1984, 1985
1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012
2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043
2044, 2166, 2167, 2168, 2169, 2170, 2180, 2181, 2182
2183, 2184, 2194, 2195, 2196, 2197, 2198, 2209, 2210
2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364
2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392
2393, 2394, 2405, 2406, 2407, 2408, 2419, 2420, 2421
2422, 2558, 2559, 2560, 2561, 2562, 2572, 2573, 2574
2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603
2604, 2615, 2616, 2617, 2618
*Elset, elset=GRAIN-22
1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650
1651, 1652, 1664, 1665, 1666, 1678, 1679, 1680, 1692
1693, 1694, 1846, 1847, 1848, 1860, 1861, 1862, 1874
1875, 1876, 1888, 1889, 1890, 2058, 2072
*Elset, elset=GRAIN-23
1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649
1660, 1661, 1662, 1663, 1675, 1676, 1815, 1816, 1828
1829, 1830, 1831, 1842, 1843, 1844, 1845, 1856, 1857
1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052
2053, 2054
*Elset, elset=GRAIN-24
947, 948, 961, 962, 975, 976, 1143, 1157, 1158
1170, 1171, 1172
*Elset, elset=GRAIN-25
1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996
1997, 2009, 2010, 2011, 2023, 2024, 2025, 2036, 2037
2038, 2162, 2163, 2164, 2165, 2176, 2177, 2178, 2179
2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208
2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235
2249, 2358, 2359, 2360, 2361, 2372, 2373, 2374, 2375
2386, 2387, 2388, 2389, 2390, 2400, 2401, 2402, 2403
2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430
2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570
2571, 2582, 2583, 2584, 2585, 2586, 2596, 2597, 2598
2599, 2600, 2610, 2611, 2612, 2613, 2614, 2624, 2625
2626, 2627
*Elset, elset=GRAIN-26
1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086
2097, 2098, 2099, 2100, 2111, 2112, 2113, 2114, 2125
2126, 2127, 2128, 2139, 2140, 2141, 2142, 2153, 2154
2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307
2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336
2337, 2338, 2349, 2350, 2351, 2352, 2478, 2489, 2490
2491, 2492, 2503, 2504, 2505, 2506, 2517, 2518, 2519
2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548
2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713
2714, 2715, 2716, 2727, 2728, 2729, 2730, 2741, 2742
2743, 2744
*Elset, elset=GRAIN-27
1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361
1471, 1472, 1473, 1474, 1485, 1486, 1487, 1488, 1489
1499, 1500, 1501, 1502, 1503, 1504, 1513, 1514, 1515
1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532
1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557
1558, 1559, 1560, 1667, 1668, 1669, 1670, 1681, 1682
1683, 1684, 1685, 1695, 1696, 1697, 1698, 1699, 1700
1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725
1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742
1751, 1752, 1753, 1754, 1755, 1756, 1877, 1878, 1879
1880, 1881, 1891, 1892, 1893, 1894, 1895, 1905, 1906
1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933
1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951
1952, 2088, 2089, 2090, 2102, 2103, 2104, 2115, 2116
2117, 2118, 2129, 2130, 2131, 2132, 2143, 2144, 2145
2146
*Elset, elset=GRAIN-28
1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849
1850, 1851, 1852, 1853, 1863, 1864, 1865, 1866, 1867
2020, 2031, 2032, 2033, 2034, 2035, 2045, 2046, 2047
2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076
2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258
2439, 2440
*Elset, elset=GRAIN-29
2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271
2283, 2284, 2285, 2286, 2297, 2298, 2299, 2300, 2311
2312, 2313, 2314, 2325, 2326, 2327, 2328, 2339, 2340
2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467
2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496
2507, 2508, 2509, 2510, 2521, 2522, 2523, 2524, 2535
2536, 2537, 2538, 2647, 2648, 2649, 2650, 2661, 2662
2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691
2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720
2731, 2732, 2733, 2734
*Elset, elset=GRAIN-30
1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644
1645, 1657, 1658, 1659, 1671, 1672, 1673, 1686, 1840
1841, 1854, 1855, 1868, 1869, 2050
*Elset, elset=Phase-1
1, 2, 3, 4, 5, 6, 7, 8, 9
10, 11, 12, 13, 14, 15, 16, 17, 18
19, 20, 21, 22, 23, 24, 25, 26, 27
28, 29, 30, 31, 32, 33, 34, 35, 36
37, 38, 39, 40, 41, 42, 43, 44, 45
46, 47, 48, 49, 50, 51, 52, 53, 54
55, 56, 57, 58, 59, 60, 61, 62, 63
64, 65, 66, 67, 68, 69, 70, 71, 72
73, 74, 75, 76, 77, 78, 79, 80, 81
82, 83, 84, 85, 86, 87, 88, 89, 90
91, 92, 93, 94, 95, 96, 97, 98, 99
100, 101, 102, 103, 104, 105, 106, 107, 108
109, 110, 111, 112, 113, 114, 115, 116, 117
118, 119, 120, 121, 122, 123, 124, 125, 126
127, 128, 129, 130, 131, 132, 133, 134, 135
136, 137, 138, 139, 140, 141, 142, 143, 144
145, 146, 147, 148, 149, 150, 151, 152, 153
154, 155, 156, 157, 158, 159, 160, 161, 162
163, 164, 165, 166, 167, 168, 169, 170, 171
172, 173, 174, 175, 176, 177, 178, 179, 180
181, 182, 183, 184, 185, 186, 187, 188, 189
190, 191, 192, 193, 194, 195, 196, 197, 198
199, 200, 201, 202, 203, 204, 205, 206, 207
208, 209, 210, 211, 212, 213, 214, 215, 216
217, 218, 219, 220, 221, 222, 223, 224, 225
226, 227, 228, 229, 230, 231, 232, 233, 234
235, 236, 237, 238, 239, 240, 241, 242, 243
244, 245, 246, 247, 248, 249, 250, 251, 252
253, 254, 255, 256, 257, 258, 259, 260, 261
262, 263, 264, 265, 266, 267, 268, 269, 270
271, 272, 273, 274, 275, 276, 277, 278, 279
280, 281, 282, 283, 284, 285, 286, 287, 288
289, 290, 291, 292, 293, 294, 295, 296, 297
298, 299, 300, 301, 302, 303, 304, 305, 306
307, 308, 309, 310, 311, 312, 313, 314, 315
316, 317, 318, 319, 320, 321, 322, 323, 324
325, 326, 327, 328, 329, 330, 331, 332, 333
334, 335, 336, 337, 338, 339, 340, 341, 342
343, 344, 345, 346, 347, 348, 349, 350, 351
352, 353, 354, 355, 356, 357, 358, 359, 360
361, 362, 363, 364, 365, 366, 367, 368, 369
370, 371, 372, 373, 374, 375, 376, 377, 378
379, 380, 381, 382, 383, 384, 385, 386, 387
388, 389, 390, 391, 392, 393, 394, 395, 396
397, 398, 399, 400, 401, 402, 403, 404, 405
406, 407, 408, 409, 410, 411, 412, 413, 414
415, 416, 417, 418, 419, 420, 421, 422, 423
424, 425, 426, 427, 428, 429, 430, 431, 432
433, 434, 435, 436, 437, 438, 439, 440, 441
442, 443, 444, 445, 446, 447, 448, 449, 450
451, 452, 453, 454, 455, 456, 457, 458, 459
460, 461, 462, 463, 464, 465, 466, 467, 468
469, 470, 471, 472, 473, 474, 475, 476, 477
478, 479, 480, 481, 482, 483, 484, 485, 486
487, 488, 489, 490, 491, 492, 493, 494, 495
496, 497, 498, 499, 500, 501, 502, 503, 504
505, 506, 507, 508, 509, 510, 511, 512, 513
514, 515, 516, 517, 518, 519, 520, 521, 522
523, 524, 525, 526, 527, 528, 529, 530, 531
532, 533, 534, 535, 536, 537, 538, 539, 540
541, 542, 543, 544, 545, 546, 547, 548, 549
550, 551, 552, 553, 554, 555, 556, 557, 558
559, 560, 561, 562, 563, 564, 565, 566, 567
568, 569, 570, 571, 572, 573, 574, 575, 576
577, 578, 579, 580, 581, 582, 583, 584, 585
586, 587, 588, 589, 590, 591, 592, 593, 594
595, 596, 597, 598, 599, 600, 601, 602, 603
604, 605, 606, 607, 608, 609, 610, 611, 612
613, 614, 615, 616, 617, 618, 619, 620, 621
622, 623, 624, 625, 626, 627, 628, 629, 630
631, 632, 633, 634, 635, 636, 637, 638, 639
640, 641, 642, 643, 644, 645, 646, 647, 648
649, 650, 651, 652, 653, 654, 655, 656, 657
658, 659, 660, 661, 662, 663, 664, 665, 666
667, 668, 669, 670, 671, 672, 673, 674, 675
676, 677, 678, 679, 680, 681, 682, 683, 684
685, 686, 687, 688, 689, 690, 691, 692, 693
694, 695, 696, 697, 698, 699, 700, 701, 702
703, 704, 705, 706, 707, 708, 709, 710, 711
712, 713, 714, 715, 716, 717, 718, 719, 720
721, 722, 723, 724, 725, 726, 727, 728, 729
730, 731, 732, 733, 734, 735, 736, 737, 738
739, 740, 741, 742, 743, 744, 745, 746, 747
748, 749, 750, 751, 752, 753, 754, 755, 756
757, 758, 759, 760, 761, 762, 763, 764, 765
766, 767, 768, 769, 770, 771, 772, 773, 774
775, 776, 777, 778, 779, 780, 781, 782, 783
784, 785, 786, 787, 788, 789, 790, 791, 792
793, 794, 795, 796, 797, 798, 799, 800, 801
802, 803, 804, 805, 806, 807, 808, 809, 810
811, 812, 813, 814, 815, 816, 817, 818, 819
820, 821, 822, 823, 824, 825, 826, 827, 828
829, 830, 831, 832, 833, 834, 835, 836, 837
838, 839, 840, 841, 842, 843, 844, 845, 846
847, 848, 849, 850, 851, 852, 853, 854, 855
856, 857, 858, 859, 860, 861, 862, 863, 864
865, 866, 867, 868, 869, 870, 871, 872, 873
874, 875, 876, 877, 878, 879, 880, 881, 882
883, 884, 885, 886, 887, 888, 889, 890, 891
892, 893, 894, 895, 896, 897, 898, 899, 900
901, 902, 903, 904, 905, 906, 907, 908, 909
910, 911, 912, 913, 914, 915, 916, 917, 918
919, 920, 921, 922, 923, 924, 925, 926, 927
928, 929, 930, 931, 932, 933, 934, 935, 936
937, 938, 939, 940, 941, 942, 943, 944, 945
946, 947, 948, 949, 950, 951, 952, 953, 954
955, 956, 957, 958, 959, 960, 961, 962, 963
964, 965, 966, 967, 968, 969, 970, 971, 972
973, 974, 975, 976, 977, 978, 979, 980, 981
982, 983, 984, 985, 986, 987, 988, 989, 990
991, 992, 993, 994, 995, 996, 997, 998, 999
1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008
1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017
1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026
1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035
1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044
1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053
1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062
1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071
1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080
1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089
1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098
1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107
1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116
1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125
1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134
1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143
1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152
1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161
1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170
1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179
1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188
1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197
1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206
1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215
1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224
1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233
1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242
1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251
1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260
1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269
1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278
1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287
1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296
1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305
1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314
1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323
1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332
1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341
1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350
1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359
1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368
1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377
1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386
1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395
1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404
1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413
1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422
1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431
1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440
1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449
1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458
1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467
1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476
1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485
1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494
1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503
1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512
1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521
1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530
1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539
1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548
1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557
1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566
1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575
1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584
1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593
1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602
1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611
1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620
1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629
1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638
1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647
1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656
1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665
1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674
1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683
1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692
1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701
1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710
1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719
1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728
1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737
1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746
1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755
1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764
1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773
1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782
1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791
1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800
1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809
1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818
1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827
1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836
1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845
1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854
1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863
1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872
1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881
1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890
1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899
1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908
1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917
1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926
1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935
1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944
1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953
1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962
1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971
1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980
1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989
1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998
1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007
2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016
2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034
2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043
2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052
2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061
2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070
2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079
2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088
2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097
2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106
2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115
2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124
2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133
2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142
2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151
2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160
2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169
2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178
2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187
2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196
2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205
2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214
2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223
2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232
2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241
2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250
2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259
2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268
2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277
2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286
2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295
2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304
2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313
2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322
2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331
2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340
2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349
2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358
2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367
2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376
2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385
2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394
2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403
2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412
2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421
2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430
2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439
2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448
2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457
2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466
2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475
2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484
2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493
2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502
2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511
2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520
2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529
2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538
2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547
2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556
2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565
2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574
2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583
2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592
2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601
2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610
2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619
2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628
2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637
2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646
2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655
2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664
2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673
2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682
2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691
2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700
2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709
2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718
2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727
2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736
2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
**Section: Section_Grain-8
*Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8
,
**Section: Section_Grain-9
*Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9
,
**Section: Section_Grain-10
*Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10
,
**Section: Section_Grain-11
*Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11
,
**Section: Section_Grain-12
*Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12
,
**Section: Section_Grain-13
*Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13
,
**Section: Section_Grain-14
*Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14
,
**Section: Section_Grain-15
*Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15
,
**Section: Section_Grain-16
*Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16
,
**Section: Section_Grain-17
*Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17
,
**Section: Section_Grain-18
*Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18
,
**Section: Section_Grain-19
*Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19
,
**Section: Section_Grain-20
*Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20
,
**Section: Section_Grain-21
*Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21
,
**Section: Section_Grain-22
*Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22
,
**Section: Section_Grain-23
*Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23
,
**Section: Section_Grain-24
*Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24
,
**Section: Section_Grain-25
*Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25
,
**Section: Section_Grain-26
*Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26
,
**Section: Section_Grain-27
*Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27
,
**Section: Section_Grain-28
*Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28
,
**Section: Section_Grain-29
*Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29
,
**Section: Section_Grain-30
*Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=NEPER-1, part=NEPER
*NODE
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789, 5.714286e-01, 5.000000e-01, 2.142857e-01
790, 6.428571e-01, 5.000000e-01, 2.142857e-01
791, 7.142857e-01, 5.000000e-01, 2.142857e-01
792, 7.857143e-01, 5.000000e-01, 2.142857e-01
793, 8.571429e-01, 5.000000e-01, 2.142857e-01
794, 9.285714e-01, 5.000000e-01, 2.142857e-01
795, 1.000000e+00, 5.000000e-01, 2.142857e-01
796, 0.000000e+00, 5.714286e-01, 2.142857e-01
797, 7.142857e-02, 5.714286e-01, 2.142857e-01
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799, 2.142857e-01, 5.714286e-01, 2.142857e-01
800, 2.857143e-01, 5.714286e-01, 2.142857e-01
801, 3.571429e-01, 5.714286e-01, 2.142857e-01
802, 4.285714e-01, 5.714286e-01, 2.142857e-01
803, 5.000000e-01, 5.714286e-01, 2.142857e-01
804, 5.714286e-01, 5.714286e-01, 2.142857e-01
805, 6.428571e-01, 5.714286e-01, 2.142857e-01
806, 7.142857e-01, 5.714286e-01, 2.142857e-01
807, 7.857143e-01, 5.714286e-01, 2.142857e-01
808, 8.571429e-01, 5.714286e-01, 2.142857e-01
809, 9.285714e-01, 5.714286e-01, 2.142857e-01
810, 1.000000e+00, 5.714286e-01, 2.142857e-01
811, 0.000000e+00, 6.428571e-01, 2.142857e-01
812, 7.142857e-02, 6.428571e-01, 2.142857e-01
813, 1.428571e-01, 6.428571e-01, 2.142857e-01
814, 2.142857e-01, 6.428571e-01, 2.142857e-01
815, 2.857143e-01, 6.428571e-01, 2.142857e-01
816, 3.571429e-01, 6.428571e-01, 2.142857e-01
817, 4.285714e-01, 6.428571e-01, 2.142857e-01
818, 5.000000e-01, 6.428571e-01, 2.142857e-01
819, 5.714286e-01, 6.428571e-01, 2.142857e-01
820, 6.428571e-01, 6.428571e-01, 2.142857e-01
821, 7.142857e-01, 6.428571e-01, 2.142857e-01
822, 7.857143e-01, 6.428571e-01, 2.142857e-01
823, 8.571429e-01, 6.428571e-01, 2.142857e-01
824, 9.285714e-01, 6.428571e-01, 2.142857e-01
825, 1.000000e+00, 6.428571e-01, 2.142857e-01
826, 0.000000e+00, 7.142857e-01, 2.142857e-01
827, 7.142857e-02, 7.142857e-01, 2.142857e-01
828, 1.428571e-01, 7.142857e-01, 2.142857e-01
829, 2.142857e-01, 7.142857e-01, 2.142857e-01
830, 2.857143e-01, 7.142857e-01, 2.142857e-01
831, 3.571429e-01, 7.142857e-01, 2.142857e-01
832, 4.285714e-01, 7.142857e-01, 2.142857e-01
833, 5.000000e-01, 7.142857e-01, 2.142857e-01
834, 5.714286e-01, 7.142857e-01, 2.142857e-01
835, 6.428571e-01, 7.142857e-01, 2.142857e-01
836, 7.142857e-01, 7.142857e-01, 2.142857e-01
837, 7.857143e-01, 7.142857e-01, 2.142857e-01
838, 8.571429e-01, 7.142857e-01, 2.142857e-01
839, 9.285714e-01, 7.142857e-01, 2.142857e-01
840, 1.000000e+00, 7.142857e-01, 2.142857e-01
841, 0.000000e+00, 7.857143e-01, 2.142857e-01
842, 7.142857e-02, 7.857143e-01, 2.142857e-01
843, 1.428571e-01, 7.857143e-01, 2.142857e-01
844, 2.142857e-01, 7.857143e-01, 2.142857e-01
845, 2.857143e-01, 7.857143e-01, 2.142857e-01
846, 3.571429e-01, 7.857143e-01, 2.142857e-01
847, 4.285714e-01, 7.857143e-01, 2.142857e-01
848, 5.000000e-01, 7.857143e-01, 2.142857e-01
849, 5.714286e-01, 7.857143e-01, 2.142857e-01
850, 6.428571e-01, 7.857143e-01, 2.142857e-01
851, 7.142857e-01, 7.857143e-01, 2.142857e-01
852, 7.857143e-01, 7.857143e-01, 2.142857e-01
853, 8.571429e-01, 7.857143e-01, 2.142857e-01
854, 9.285714e-01, 7.857143e-01, 2.142857e-01
855, 1.000000e+00, 7.857143e-01, 2.142857e-01
856, 0.000000e+00, 8.571429e-01, 2.142857e-01
857, 7.142857e-02, 8.571429e-01, 2.142857e-01
858, 1.428571e-01, 8.571429e-01, 2.142857e-01
859, 2.142857e-01, 8.571429e-01, 2.142857e-01
860, 2.857143e-01, 8.571429e-01, 2.142857e-01
861, 3.571429e-01, 8.571429e-01, 2.142857e-01
862, 4.285714e-01, 8.571429e-01, 2.142857e-01
863, 5.000000e-01, 8.571429e-01, 2.142857e-01
864, 5.714286e-01, 8.571429e-01, 2.142857e-01
865, 6.428571e-01, 8.571429e-01, 2.142857e-01
866, 7.142857e-01, 8.571429e-01, 2.142857e-01
867, 7.857143e-01, 8.571429e-01, 2.142857e-01
868, 8.571429e-01, 8.571429e-01, 2.142857e-01
869, 9.285714e-01, 8.571429e-01, 2.142857e-01
870, 1.000000e+00, 8.571429e-01, 2.142857e-01
871, 0.000000e+00, 9.285714e-01, 2.142857e-01
872, 7.142857e-02, 9.285714e-01, 2.142857e-01
873, 1.428571e-01, 9.285714e-01, 2.142857e-01
874, 2.142857e-01, 9.285714e-01, 2.142857e-01
875, 2.857143e-01, 9.285714e-01, 2.142857e-01
876, 3.571429e-01, 9.285714e-01, 2.142857e-01
877, 4.285714e-01, 9.285714e-01, 2.142857e-01
878, 5.000000e-01, 9.285714e-01, 2.142857e-01
879, 5.714286e-01, 9.285714e-01, 2.142857e-01
880, 6.428571e-01, 9.285714e-01, 2.142857e-01
881, 7.142857e-01, 9.285714e-01, 2.142857e-01
882, 7.857143e-01, 9.285714e-01, 2.142857e-01
883, 8.571429e-01, 9.285714e-01, 2.142857e-01
884, 9.285714e-01, 9.285714e-01, 2.142857e-01
885, 1.000000e+00, 9.285714e-01, 2.142857e-01
886, 0.000000e+00, 1.000000e+00, 2.142857e-01
887, 7.142857e-02, 1.000000e+00, 2.142857e-01
888, 1.428571e-01, 1.000000e+00, 2.142857e-01
889, 2.142857e-01, 1.000000e+00, 2.142857e-01
890, 2.857143e-01, 1.000000e+00, 2.142857e-01
891, 3.571429e-01, 1.000000e+00, 2.142857e-01
892, 4.285714e-01, 1.000000e+00, 2.142857e-01
893, 5.000000e-01, 1.000000e+00, 2.142857e-01
894, 5.714286e-01, 1.000000e+00, 2.142857e-01
895, 6.428571e-01, 1.000000e+00, 2.142857e-01
896, 7.142857e-01, 1.000000e+00, 2.142857e-01
897, 7.857143e-01, 1.000000e+00, 2.142857e-01
898, 8.571429e-01, 1.000000e+00, 2.142857e-01
899, 9.285714e-01, 1.000000e+00, 2.142857e-01
900, 1.000000e+00, 1.000000e+00, 2.142857e-01
901, 0.000000e+00, 0.000000e+00, 2.857143e-01
902, 7.142857e-02, 0.000000e+00, 2.857143e-01
903, 1.428571e-01, 0.000000e+00, 2.857143e-01
904, 2.142857e-01, 0.000000e+00, 2.857143e-01
905, 2.857143e-01, 0.000000e+00, 2.857143e-01
906, 3.571429e-01, 0.000000e+00, 2.857143e-01
907, 4.285714e-01, 0.000000e+00, 2.857143e-01
908, 5.000000e-01, 0.000000e+00, 2.857143e-01
909, 5.714286e-01, 0.000000e+00, 2.857143e-01
910, 6.428571e-01, 0.000000e+00, 2.857143e-01
911, 7.142857e-01, 0.000000e+00, 2.857143e-01
912, 7.857143e-01, 0.000000e+00, 2.857143e-01
913, 8.571429e-01, 0.000000e+00, 2.857143e-01
914, 9.285714e-01, 0.000000e+00, 2.857143e-01
915, 1.000000e+00, 0.000000e+00, 2.857143e-01
916, 0.000000e+00, 7.142857e-02, 2.857143e-01
917, 7.142857e-02, 7.142857e-02, 2.857143e-01
918, 1.428571e-01, 7.142857e-02, 2.857143e-01
919, 2.142857e-01, 7.142857e-02, 2.857143e-01
920, 2.857143e-01, 7.142857e-02, 2.857143e-01
921, 3.571429e-01, 7.142857e-02, 2.857143e-01
922, 4.285714e-01, 7.142857e-02, 2.857143e-01
923, 5.000000e-01, 7.142857e-02, 2.857143e-01
924, 5.714286e-01, 7.142857e-02, 2.857143e-01
925, 6.428571e-01, 7.142857e-02, 2.857143e-01
926, 7.142857e-01, 7.142857e-02, 2.857143e-01
927, 7.857143e-01, 7.142857e-02, 2.857143e-01
928, 8.571429e-01, 7.142857e-02, 2.857143e-01
929, 9.285714e-01, 7.142857e-02, 2.857143e-01
930, 1.000000e+00, 7.142857e-02, 2.857143e-01
931, 0.000000e+00, 1.428571e-01, 2.857143e-01
932, 7.142857e-02, 1.428571e-01, 2.857143e-01
933, 1.428571e-01, 1.428571e-01, 2.857143e-01
934, 2.142857e-01, 1.428571e-01, 2.857143e-01
935, 2.857143e-01, 1.428571e-01, 2.857143e-01
936, 3.571429e-01, 1.428571e-01, 2.857143e-01
937, 4.285714e-01, 1.428571e-01, 2.857143e-01
938, 5.000000e-01, 1.428571e-01, 2.857143e-01
939, 5.714286e-01, 1.428571e-01, 2.857143e-01
940, 6.428571e-01, 1.428571e-01, 2.857143e-01
941, 7.142857e-01, 1.428571e-01, 2.857143e-01
942, 7.857143e-01, 1.428571e-01, 2.857143e-01
943, 8.571429e-01, 1.428571e-01, 2.857143e-01
944, 9.285714e-01, 1.428571e-01, 2.857143e-01
945, 1.000000e+00, 1.428571e-01, 2.857143e-01
946, 0.000000e+00, 2.142857e-01, 2.857143e-01
947, 7.142857e-02, 2.142857e-01, 2.857143e-01
948, 1.428571e-01, 2.142857e-01, 2.857143e-01
949, 2.142857e-01, 2.142857e-01, 2.857143e-01
950, 2.857143e-01, 2.142857e-01, 2.857143e-01
951, 3.571429e-01, 2.142857e-01, 2.857143e-01
952, 4.285714e-01, 2.142857e-01, 2.857143e-01
953, 5.000000e-01, 2.142857e-01, 2.857143e-01
954, 5.714286e-01, 2.142857e-01, 2.857143e-01
955, 6.428571e-01, 2.142857e-01, 2.857143e-01
956, 7.142857e-01, 2.142857e-01, 2.857143e-01
957, 7.857143e-01, 2.142857e-01, 2.857143e-01
958, 8.571429e-01, 2.142857e-01, 2.857143e-01
959, 9.285714e-01, 2.142857e-01, 2.857143e-01
960, 1.000000e+00, 2.142857e-01, 2.857143e-01
961, 0.000000e+00, 2.857143e-01, 2.857143e-01
962, 7.142857e-02, 2.857143e-01, 2.857143e-01
963, 1.428571e-01, 2.857143e-01, 2.857143e-01
964, 2.142857e-01, 2.857143e-01, 2.857143e-01
965, 2.857143e-01, 2.857143e-01, 2.857143e-01
966, 3.571429e-01, 2.857143e-01, 2.857143e-01
967, 4.285714e-01, 2.857143e-01, 2.857143e-01
968, 5.000000e-01, 2.857143e-01, 2.857143e-01
969, 5.714286e-01, 2.857143e-01, 2.857143e-01
970, 6.428571e-01, 2.857143e-01, 2.857143e-01
971, 7.142857e-01, 2.857143e-01, 2.857143e-01
972, 7.857143e-01, 2.857143e-01, 2.857143e-01
973, 8.571429e-01, 2.857143e-01, 2.857143e-01
974, 9.285714e-01, 2.857143e-01, 2.857143e-01
975, 1.000000e+00, 2.857143e-01, 2.857143e-01
976, 0.000000e+00, 3.571429e-01, 2.857143e-01
977, 7.142857e-02, 3.571429e-01, 2.857143e-01
978, 1.428571e-01, 3.571429e-01, 2.857143e-01
979, 2.142857e-01, 3.571429e-01, 2.857143e-01
980, 2.857143e-01, 3.571429e-01, 2.857143e-01
981, 3.571429e-01, 3.571429e-01, 2.857143e-01
982, 4.285714e-01, 3.571429e-01, 2.857143e-01
983, 5.000000e-01, 3.571429e-01, 2.857143e-01
984, 5.714286e-01, 3.571429e-01, 2.857143e-01
985, 6.428571e-01, 3.571429e-01, 2.857143e-01
986, 7.142857e-01, 3.571429e-01, 2.857143e-01
987, 7.857143e-01, 3.571429e-01, 2.857143e-01
988, 8.571429e-01, 3.571429e-01, 2.857143e-01
989, 9.285714e-01, 3.571429e-01, 2.857143e-01
990, 1.000000e+00, 3.571429e-01, 2.857143e-01
991, 0.000000e+00, 4.285714e-01, 2.857143e-01
992, 7.142857e-02, 4.285714e-01, 2.857143e-01
993, 1.428571e-01, 4.285714e-01, 2.857143e-01
994, 2.142857e-01, 4.285714e-01, 2.857143e-01
995, 2.857143e-01, 4.285714e-01, 2.857143e-01
996, 3.571429e-01, 4.285714e-01, 2.857143e-01
997, 4.285714e-01, 4.285714e-01, 2.857143e-01
998, 5.000000e-01, 4.285714e-01, 2.857143e-01
999, 5.714286e-01, 4.285714e-01, 2.857143e-01
1000, 6.428571e-01, 4.285714e-01, 2.857143e-01
1001, 7.142857e-01, 4.285714e-01, 2.857143e-01
1002, 7.857143e-01, 4.285714e-01, 2.857143e-01
1003, 8.571429e-01, 4.285714e-01, 2.857143e-01
1004, 9.285714e-01, 4.285714e-01, 2.857143e-01
1005, 1.000000e+00, 4.285714e-01, 2.857143e-01
1006, 0.000000e+00, 5.000000e-01, 2.857143e-01
1007, 7.142857e-02, 5.000000e-01, 2.857143e-01
1008, 1.428571e-01, 5.000000e-01, 2.857143e-01
1009, 2.142857e-01, 5.000000e-01, 2.857143e-01
1010, 2.857143e-01, 5.000000e-01, 2.857143e-01
1011, 3.571429e-01, 5.000000e-01, 2.857143e-01
1012, 4.285714e-01, 5.000000e-01, 2.857143e-01
1013, 5.000000e-01, 5.000000e-01, 2.857143e-01
1014, 5.714286e-01, 5.000000e-01, 2.857143e-01
1015, 6.428571e-01, 5.000000e-01, 2.857143e-01
1016, 7.142857e-01, 5.000000e-01, 2.857143e-01
1017, 7.857143e-01, 5.000000e-01, 2.857143e-01
1018, 8.571429e-01, 5.000000e-01, 2.857143e-01
1019, 9.285714e-01, 5.000000e-01, 2.857143e-01
1020, 1.000000e+00, 5.000000e-01, 2.857143e-01
1021, 0.000000e+00, 5.714286e-01, 2.857143e-01
1022, 7.142857e-02, 5.714286e-01, 2.857143e-01
1023, 1.428571e-01, 5.714286e-01, 2.857143e-01
1024, 2.142857e-01, 5.714286e-01, 2.857143e-01
1025, 2.857143e-01, 5.714286e-01, 2.857143e-01
1026, 3.571429e-01, 5.714286e-01, 2.857143e-01
1027, 4.285714e-01, 5.714286e-01, 2.857143e-01
1028, 5.000000e-01, 5.714286e-01, 2.857143e-01
1029, 5.714286e-01, 5.714286e-01, 2.857143e-01
1030, 6.428571e-01, 5.714286e-01, 2.857143e-01
1031, 7.142857e-01, 5.714286e-01, 2.857143e-01
1032, 7.857143e-01, 5.714286e-01, 2.857143e-01
1033, 8.571429e-01, 5.714286e-01, 2.857143e-01
1034, 9.285714e-01, 5.714286e-01, 2.857143e-01
1035, 1.000000e+00, 5.714286e-01, 2.857143e-01
1036, 0.000000e+00, 6.428571e-01, 2.857143e-01
1037, 7.142857e-02, 6.428571e-01, 2.857143e-01
1038, 1.428571e-01, 6.428571e-01, 2.857143e-01
1039, 2.142857e-01, 6.428571e-01, 2.857143e-01
1040, 2.857143e-01, 6.428571e-01, 2.857143e-01
1041, 3.571429e-01, 6.428571e-01, 2.857143e-01
1042, 4.285714e-01, 6.428571e-01, 2.857143e-01
1043, 5.000000e-01, 6.428571e-01, 2.857143e-01
1044, 5.714286e-01, 6.428571e-01, 2.857143e-01
1045, 6.428571e-01, 6.428571e-01, 2.857143e-01
1046, 7.142857e-01, 6.428571e-01, 2.857143e-01
1047, 7.857143e-01, 6.428571e-01, 2.857143e-01
1048, 8.571429e-01, 6.428571e-01, 2.857143e-01
1049, 9.285714e-01, 6.428571e-01, 2.857143e-01
1050, 1.000000e+00, 6.428571e-01, 2.857143e-01
1051, 0.000000e+00, 7.142857e-01, 2.857143e-01
1052, 7.142857e-02, 7.142857e-01, 2.857143e-01
1053, 1.428571e-01, 7.142857e-01, 2.857143e-01
1054, 2.142857e-01, 7.142857e-01, 2.857143e-01
1055, 2.857143e-01, 7.142857e-01, 2.857143e-01
1056, 3.571429e-01, 7.142857e-01, 2.857143e-01
1057, 4.285714e-01, 7.142857e-01, 2.857143e-01
1058, 5.000000e-01, 7.142857e-01, 2.857143e-01
1059, 5.714286e-01, 7.142857e-01, 2.857143e-01
1060, 6.428571e-01, 7.142857e-01, 2.857143e-01
1061, 7.142857e-01, 7.142857e-01, 2.857143e-01
1062, 7.857143e-01, 7.142857e-01, 2.857143e-01
1063, 8.571429e-01, 7.142857e-01, 2.857143e-01
1064, 9.285714e-01, 7.142857e-01, 2.857143e-01
1065, 1.000000e+00, 7.142857e-01, 2.857143e-01
1066, 0.000000e+00, 7.857143e-01, 2.857143e-01
1067, 7.142857e-02, 7.857143e-01, 2.857143e-01
1068, 1.428571e-01, 7.857143e-01, 2.857143e-01
1069, 2.142857e-01, 7.857143e-01, 2.857143e-01
1070, 2.857143e-01, 7.857143e-01, 2.857143e-01
1071, 3.571429e-01, 7.857143e-01, 2.857143e-01
1072, 4.285714e-01, 7.857143e-01, 2.857143e-01
1073, 5.000000e-01, 7.857143e-01, 2.857143e-01
1074, 5.714286e-01, 7.857143e-01, 2.857143e-01
1075, 6.428571e-01, 7.857143e-01, 2.857143e-01
1076, 7.142857e-01, 7.857143e-01, 2.857143e-01
1077, 7.857143e-01, 7.857143e-01, 2.857143e-01
1078, 8.571429e-01, 7.857143e-01, 2.857143e-01
1079, 9.285714e-01, 7.857143e-01, 2.857143e-01
1080, 1.000000e+00, 7.857143e-01, 2.857143e-01
1081, 0.000000e+00, 8.571429e-01, 2.857143e-01
1082, 7.142857e-02, 8.571429e-01, 2.857143e-01
1083, 1.428571e-01, 8.571429e-01, 2.857143e-01
1084, 2.142857e-01, 8.571429e-01, 2.857143e-01
1085, 2.857143e-01, 8.571429e-01, 2.857143e-01
1086, 3.571429e-01, 8.571429e-01, 2.857143e-01
1087, 4.285714e-01, 8.571429e-01, 2.857143e-01
1088, 5.000000e-01, 8.571429e-01, 2.857143e-01
1089, 5.714286e-01, 8.571429e-01, 2.857143e-01
1090, 6.428571e-01, 8.571429e-01, 2.857143e-01
1091, 7.142857e-01, 8.571429e-01, 2.857143e-01
1092, 7.857143e-01, 8.571429e-01, 2.857143e-01
1093, 8.571429e-01, 8.571429e-01, 2.857143e-01
1094, 9.285714e-01, 8.571429e-01, 2.857143e-01
1095, 1.000000e+00, 8.571429e-01, 2.857143e-01
1096, 0.000000e+00, 9.285714e-01, 2.857143e-01
1097, 7.142857e-02, 9.285714e-01, 2.857143e-01
1098, 1.428571e-01, 9.285714e-01, 2.857143e-01
1099, 2.142857e-01, 9.285714e-01, 2.857143e-01
1100, 2.857143e-01, 9.285714e-01, 2.857143e-01
1101, 3.571429e-01, 9.285714e-01, 2.857143e-01
1102, 4.285714e-01, 9.285714e-01, 2.857143e-01
1103, 5.000000e-01, 9.285714e-01, 2.857143e-01
1104, 5.714286e-01, 9.285714e-01, 2.857143e-01
1105, 6.428571e-01, 9.285714e-01, 2.857143e-01
1106, 7.142857e-01, 9.285714e-01, 2.857143e-01
1107, 7.857143e-01, 9.285714e-01, 2.857143e-01
1108, 8.571429e-01, 9.285714e-01, 2.857143e-01
1109, 9.285714e-01, 9.285714e-01, 2.857143e-01
1110, 1.000000e+00, 9.285714e-01, 2.857143e-01
1111, 0.000000e+00, 1.000000e+00, 2.857143e-01
1112, 7.142857e-02, 1.000000e+00, 2.857143e-01
1113, 1.428571e-01, 1.000000e+00, 2.857143e-01
1114, 2.142857e-01, 1.000000e+00, 2.857143e-01
1115, 2.857143e-01, 1.000000e+00, 2.857143e-01
1116, 3.571429e-01, 1.000000e+00, 2.857143e-01
1117, 4.285714e-01, 1.000000e+00, 2.857143e-01
1118, 5.000000e-01, 1.000000e+00, 2.857143e-01
1119, 5.714286e-01, 1.000000e+00, 2.857143e-01
1120, 6.428571e-01, 1.000000e+00, 2.857143e-01
1121, 7.142857e-01, 1.000000e+00, 2.857143e-01
1122, 7.857143e-01, 1.000000e+00, 2.857143e-01
1123, 8.571429e-01, 1.000000e+00, 2.857143e-01
1124, 9.285714e-01, 1.000000e+00, 2.857143e-01
1125, 1.000000e+00, 1.000000e+00, 2.857143e-01
1126, 0.000000e+00, 0.000000e+00, 3.571429e-01
1127, 7.142857e-02, 0.000000e+00, 3.571429e-01
1128, 1.428571e-01, 0.000000e+00, 3.571429e-01
1129, 2.142857e-01, 0.000000e+00, 3.571429e-01
1130, 2.857143e-01, 0.000000e+00, 3.571429e-01
1131, 3.571429e-01, 0.000000e+00, 3.571429e-01
1132, 4.285714e-01, 0.000000e+00, 3.571429e-01
1133, 5.000000e-01, 0.000000e+00, 3.571429e-01
1134, 5.714286e-01, 0.000000e+00, 3.571429e-01
1135, 6.428571e-01, 0.000000e+00, 3.571429e-01
1136, 7.142857e-01, 0.000000e+00, 3.571429e-01
1137, 7.857143e-01, 0.000000e+00, 3.571429e-01
1138, 8.571429e-01, 0.000000e+00, 3.571429e-01
1139, 9.285714e-01, 0.000000e+00, 3.571429e-01
1140, 1.000000e+00, 0.000000e+00, 3.571429e-01
1141, 0.000000e+00, 7.142857e-02, 3.571429e-01
1142, 7.142857e-02, 7.142857e-02, 3.571429e-01
1143, 1.428571e-01, 7.142857e-02, 3.571429e-01
1144, 2.142857e-01, 7.142857e-02, 3.571429e-01
1145, 2.857143e-01, 7.142857e-02, 3.571429e-01
1146, 3.571429e-01, 7.142857e-02, 3.571429e-01
1147, 4.285714e-01, 7.142857e-02, 3.571429e-01
1148, 5.000000e-01, 7.142857e-02, 3.571429e-01
1149, 5.714286e-01, 7.142857e-02, 3.571429e-01
1150, 6.428571e-01, 7.142857e-02, 3.571429e-01
1151, 7.142857e-01, 7.142857e-02, 3.571429e-01
1152, 7.857143e-01, 7.142857e-02, 3.571429e-01
1153, 8.571429e-01, 7.142857e-02, 3.571429e-01
1154, 9.285714e-01, 7.142857e-02, 3.571429e-01
1155, 1.000000e+00, 7.142857e-02, 3.571429e-01
1156, 0.000000e+00, 1.428571e-01, 3.571429e-01
1157, 7.142857e-02, 1.428571e-01, 3.571429e-01
1158, 1.428571e-01, 1.428571e-01, 3.571429e-01
1159, 2.142857e-01, 1.428571e-01, 3.571429e-01
1160, 2.857143e-01, 1.428571e-01, 3.571429e-01
1161, 3.571429e-01, 1.428571e-01, 3.571429e-01
1162, 4.285714e-01, 1.428571e-01, 3.571429e-01
1163, 5.000000e-01, 1.428571e-01, 3.571429e-01
1164, 5.714286e-01, 1.428571e-01, 3.571429e-01
1165, 6.428571e-01, 1.428571e-01, 3.571429e-01
1166, 7.142857e-01, 1.428571e-01, 3.571429e-01
1167, 7.857143e-01, 1.428571e-01, 3.571429e-01
1168, 8.571429e-01, 1.428571e-01, 3.571429e-01
1169, 9.285714e-01, 1.428571e-01, 3.571429e-01
1170, 1.000000e+00, 1.428571e-01, 3.571429e-01
1171, 0.000000e+00, 2.142857e-01, 3.571429e-01
1172, 7.142857e-02, 2.142857e-01, 3.571429e-01
1173, 1.428571e-01, 2.142857e-01, 3.571429e-01
1174, 2.142857e-01, 2.142857e-01, 3.571429e-01
1175, 2.857143e-01, 2.142857e-01, 3.571429e-01
1176, 3.571429e-01, 2.142857e-01, 3.571429e-01
1177, 4.285714e-01, 2.142857e-01, 3.571429e-01
1178, 5.000000e-01, 2.142857e-01, 3.571429e-01
1179, 5.714286e-01, 2.142857e-01, 3.571429e-01
1180, 6.428571e-01, 2.142857e-01, 3.571429e-01
1181, 7.142857e-01, 2.142857e-01, 3.571429e-01
1182, 7.857143e-01, 2.142857e-01, 3.571429e-01
1183, 8.571429e-01, 2.142857e-01, 3.571429e-01
1184, 9.285714e-01, 2.142857e-01, 3.571429e-01
1185, 1.000000e+00, 2.142857e-01, 3.571429e-01
1186, 0.000000e+00, 2.857143e-01, 3.571429e-01
1187, 7.142857e-02, 2.857143e-01, 3.571429e-01
1188, 1.428571e-01, 2.857143e-01, 3.571429e-01
1189, 2.142857e-01, 2.857143e-01, 3.571429e-01
1190, 2.857143e-01, 2.857143e-01, 3.571429e-01
1191, 3.571429e-01, 2.857143e-01, 3.571429e-01
1192, 4.285714e-01, 2.857143e-01, 3.571429e-01
1193, 5.000000e-01, 2.857143e-01, 3.571429e-01
1194, 5.714286e-01, 2.857143e-01, 3.571429e-01
1195, 6.428571e-01, 2.857143e-01, 3.571429e-01
1196, 7.142857e-01, 2.857143e-01, 3.571429e-01
1197, 7.857143e-01, 2.857143e-01, 3.571429e-01
1198, 8.571429e-01, 2.857143e-01, 3.571429e-01
1199, 9.285714e-01, 2.857143e-01, 3.571429e-01
1200, 1.000000e+00, 2.857143e-01, 3.571429e-01
1201, 0.000000e+00, 3.571429e-01, 3.571429e-01
1202, 7.142857e-02, 3.571429e-01, 3.571429e-01
1203, 1.428571e-01, 3.571429e-01, 3.571429e-01
1204, 2.142857e-01, 3.571429e-01, 3.571429e-01
1205, 2.857143e-01, 3.571429e-01, 3.571429e-01
1206, 3.571429e-01, 3.571429e-01, 3.571429e-01
1207, 4.285714e-01, 3.571429e-01, 3.571429e-01
1208, 5.000000e-01, 3.571429e-01, 3.571429e-01
1209, 5.714286e-01, 3.571429e-01, 3.571429e-01
1210, 6.428571e-01, 3.571429e-01, 3.571429e-01
1211, 7.142857e-01, 3.571429e-01, 3.571429e-01
1212, 7.857143e-01, 3.571429e-01, 3.571429e-01
1213, 8.571429e-01, 3.571429e-01, 3.571429e-01
1214, 9.285714e-01, 3.571429e-01, 3.571429e-01
1215, 1.000000e+00, 3.571429e-01, 3.571429e-01
1216, 0.000000e+00, 4.285714e-01, 3.571429e-01
1217, 7.142857e-02, 4.285714e-01, 3.571429e-01
1218, 1.428571e-01, 4.285714e-01, 3.571429e-01
1219, 2.142857e-01, 4.285714e-01, 3.571429e-01
1220, 2.857143e-01, 4.285714e-01, 3.571429e-01
1221, 3.571429e-01, 4.285714e-01, 3.571429e-01
1222, 4.285714e-01, 4.285714e-01, 3.571429e-01
1223, 5.000000e-01, 4.285714e-01, 3.571429e-01
1224, 5.714286e-01, 4.285714e-01, 3.571429e-01
1225, 6.428571e-01, 4.285714e-01, 3.571429e-01
1226, 7.142857e-01, 4.285714e-01, 3.571429e-01
1227, 7.857143e-01, 4.285714e-01, 3.571429e-01
1228, 8.571429e-01, 4.285714e-01, 3.571429e-01
1229, 9.285714e-01, 4.285714e-01, 3.571429e-01
1230, 1.000000e+00, 4.285714e-01, 3.571429e-01
1231, 0.000000e+00, 5.000000e-01, 3.571429e-01
1232, 7.142857e-02, 5.000000e-01, 3.571429e-01
1233, 1.428571e-01, 5.000000e-01, 3.571429e-01
1234, 2.142857e-01, 5.000000e-01, 3.571429e-01
1235, 2.857143e-01, 5.000000e-01, 3.571429e-01
1236, 3.571429e-01, 5.000000e-01, 3.571429e-01
1237, 4.285714e-01, 5.000000e-01, 3.571429e-01
1238, 5.000000e-01, 5.000000e-01, 3.571429e-01
1239, 5.714286e-01, 5.000000e-01, 3.571429e-01
1240, 6.428571e-01, 5.000000e-01, 3.571429e-01
1241, 7.142857e-01, 5.000000e-01, 3.571429e-01
1242, 7.857143e-01, 5.000000e-01, 3.571429e-01
1243, 8.571429e-01, 5.000000e-01, 3.571429e-01
1244, 9.285714e-01, 5.000000e-01, 3.571429e-01
1245, 1.000000e+00, 5.000000e-01, 3.571429e-01
1246, 0.000000e+00, 5.714286e-01, 3.571429e-01
1247, 7.142857e-02, 5.714286e-01, 3.571429e-01
1248, 1.428571e-01, 5.714286e-01, 3.571429e-01
1249, 2.142857e-01, 5.714286e-01, 3.571429e-01
1250, 2.857143e-01, 5.714286e-01, 3.571429e-01
1251, 3.571429e-01, 5.714286e-01, 3.571429e-01
1252, 4.285714e-01, 5.714286e-01, 3.571429e-01
1253, 5.000000e-01, 5.714286e-01, 3.571429e-01
1254, 5.714286e-01, 5.714286e-01, 3.571429e-01
1255, 6.428571e-01, 5.714286e-01, 3.571429e-01
1256, 7.142857e-01, 5.714286e-01, 3.571429e-01
1257, 7.857143e-01, 5.714286e-01, 3.571429e-01
1258, 8.571429e-01, 5.714286e-01, 3.571429e-01
1259, 9.285714e-01, 5.714286e-01, 3.571429e-01
1260, 1.000000e+00, 5.714286e-01, 3.571429e-01
1261, 0.000000e+00, 6.428571e-01, 3.571429e-01
1262, 7.142857e-02, 6.428571e-01, 3.571429e-01
1263, 1.428571e-01, 6.428571e-01, 3.571429e-01
1264, 2.142857e-01, 6.428571e-01, 3.571429e-01
1265, 2.857143e-01, 6.428571e-01, 3.571429e-01
1266, 3.571429e-01, 6.428571e-01, 3.571429e-01
1267, 4.285714e-01, 6.428571e-01, 3.571429e-01
1268, 5.000000e-01, 6.428571e-01, 3.571429e-01
1269, 5.714286e-01, 6.428571e-01, 3.571429e-01
1270, 6.428571e-01, 6.428571e-01, 3.571429e-01
1271, 7.142857e-01, 6.428571e-01, 3.571429e-01
1272, 7.857143e-01, 6.428571e-01, 3.571429e-01
1273, 8.571429e-01, 6.428571e-01, 3.571429e-01
1274, 9.285714e-01, 6.428571e-01, 3.571429e-01
1275, 1.000000e+00, 6.428571e-01, 3.571429e-01
1276, 0.000000e+00, 7.142857e-01, 3.571429e-01
1277, 7.142857e-02, 7.142857e-01, 3.571429e-01
1278, 1.428571e-01, 7.142857e-01, 3.571429e-01
1279, 2.142857e-01, 7.142857e-01, 3.571429e-01
1280, 2.857143e-01, 7.142857e-01, 3.571429e-01
1281, 3.571429e-01, 7.142857e-01, 3.571429e-01
1282, 4.285714e-01, 7.142857e-01, 3.571429e-01
1283, 5.000000e-01, 7.142857e-01, 3.571429e-01
1284, 5.714286e-01, 7.142857e-01, 3.571429e-01
1285, 6.428571e-01, 7.142857e-01, 3.571429e-01
1286, 7.142857e-01, 7.142857e-01, 3.571429e-01
1287, 7.857143e-01, 7.142857e-01, 3.571429e-01
1288, 8.571429e-01, 7.142857e-01, 3.571429e-01
1289, 9.285714e-01, 7.142857e-01, 3.571429e-01
1290, 1.000000e+00, 7.142857e-01, 3.571429e-01
1291, 0.000000e+00, 7.857143e-01, 3.571429e-01
1292, 7.142857e-02, 7.857143e-01, 3.571429e-01
1293, 1.428571e-01, 7.857143e-01, 3.571429e-01
1294, 2.142857e-01, 7.857143e-01, 3.571429e-01
1295, 2.857143e-01, 7.857143e-01, 3.571429e-01
1296, 3.571429e-01, 7.857143e-01, 3.571429e-01
1297, 4.285714e-01, 7.857143e-01, 3.571429e-01
1298, 5.000000e-01, 7.857143e-01, 3.571429e-01
1299, 5.714286e-01, 7.857143e-01, 3.571429e-01
1300, 6.428571e-01, 7.857143e-01, 3.571429e-01
1301, 7.142857e-01, 7.857143e-01, 3.571429e-01
1302, 7.857143e-01, 7.857143e-01, 3.571429e-01
1303, 8.571429e-01, 7.857143e-01, 3.571429e-01
1304, 9.285714e-01, 7.857143e-01, 3.571429e-01
1305, 1.000000e+00, 7.857143e-01, 3.571429e-01
1306, 0.000000e+00, 8.571429e-01, 3.571429e-01
1307, 7.142857e-02, 8.571429e-01, 3.571429e-01
1308, 1.428571e-01, 8.571429e-01, 3.571429e-01
1309, 2.142857e-01, 8.571429e-01, 3.571429e-01
1310, 2.857143e-01, 8.571429e-01, 3.571429e-01
1311, 3.571429e-01, 8.571429e-01, 3.571429e-01
1312, 4.285714e-01, 8.571429e-01, 3.571429e-01
1313, 5.000000e-01, 8.571429e-01, 3.571429e-01
1314, 5.714286e-01, 8.571429e-01, 3.571429e-01
1315, 6.428571e-01, 8.571429e-01, 3.571429e-01
1316, 7.142857e-01, 8.571429e-01, 3.571429e-01
1317, 7.857143e-01, 8.571429e-01, 3.571429e-01
1318, 8.571429e-01, 8.571429e-01, 3.571429e-01
1319, 9.285714e-01, 8.571429e-01, 3.571429e-01
1320, 1.000000e+00, 8.571429e-01, 3.571429e-01
1321, 0.000000e+00, 9.285714e-01, 3.571429e-01
1322, 7.142857e-02, 9.285714e-01, 3.571429e-01
1323, 1.428571e-01, 9.285714e-01, 3.571429e-01
1324, 2.142857e-01, 9.285714e-01, 3.571429e-01
1325, 2.857143e-01, 9.285714e-01, 3.571429e-01
1326, 3.571429e-01, 9.285714e-01, 3.571429e-01
1327, 4.285714e-01, 9.285714e-01, 3.571429e-01
1328, 5.000000e-01, 9.285714e-01, 3.571429e-01
1329, 5.714286e-01, 9.285714e-01, 3.571429e-01
1330, 6.428571e-01, 9.285714e-01, 3.571429e-01
1331, 7.142857e-01, 9.285714e-01, 3.571429e-01
1332, 7.857143e-01, 9.285714e-01, 3.571429e-01
1333, 8.571429e-01, 9.285714e-01, 3.571429e-01
1334, 9.285714e-01, 9.285714e-01, 3.571429e-01
1335, 1.000000e+00, 9.285714e-01, 3.571429e-01
1336, 0.000000e+00, 1.000000e+00, 3.571429e-01
1337, 7.142857e-02, 1.000000e+00, 3.571429e-01
1338, 1.428571e-01, 1.000000e+00, 3.571429e-01
1339, 2.142857e-01, 1.000000e+00, 3.571429e-01
1340, 2.857143e-01, 1.000000e+00, 3.571429e-01
1341, 3.571429e-01, 1.000000e+00, 3.571429e-01
1342, 4.285714e-01, 1.000000e+00, 3.571429e-01
1343, 5.000000e-01, 1.000000e+00, 3.571429e-01
1344, 5.714286e-01, 1.000000e+00, 3.571429e-01
1345, 6.428571e-01, 1.000000e+00, 3.571429e-01
1346, 7.142857e-01, 1.000000e+00, 3.571429e-01
1347, 7.857143e-01, 1.000000e+00, 3.571429e-01
1348, 8.571429e-01, 1.000000e+00, 3.571429e-01
1349, 9.285714e-01, 1.000000e+00, 3.571429e-01
1350, 1.000000e+00, 1.000000e+00, 3.571429e-01
1351, 0.000000e+00, 0.000000e+00, 4.285714e-01
1352, 7.142857e-02, 0.000000e+00, 4.285714e-01
1353, 1.428571e-01, 0.000000e+00, 4.285714e-01
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1358, 5.000000e-01, 0.000000e+00, 4.285714e-01
1359, 5.714286e-01, 0.000000e+00, 4.285714e-01
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1369, 2.142857e-01, 7.142857e-02, 4.285714e-01
1370, 2.857143e-01, 7.142857e-02, 4.285714e-01
1371, 3.571429e-01, 7.142857e-02, 4.285714e-01
1372, 4.285714e-01, 7.142857e-02, 4.285714e-01
1373, 5.000000e-01, 7.142857e-02, 4.285714e-01
1374, 5.714286e-01, 7.142857e-02, 4.285714e-01
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1376, 7.142857e-01, 7.142857e-02, 4.285714e-01
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1378, 8.571429e-01, 7.142857e-02, 4.285714e-01
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1383, 1.428571e-01, 1.428571e-01, 4.285714e-01
1384, 2.142857e-01, 1.428571e-01, 4.285714e-01
1385, 2.857143e-01, 1.428571e-01, 4.285714e-01
1386, 3.571429e-01, 1.428571e-01, 4.285714e-01
1387, 4.285714e-01, 1.428571e-01, 4.285714e-01
1388, 5.000000e-01, 1.428571e-01, 4.285714e-01
1389, 5.714286e-01, 1.428571e-01, 4.285714e-01
1390, 6.428571e-01, 1.428571e-01, 4.285714e-01
1391, 7.142857e-01, 1.428571e-01, 4.285714e-01
1392, 7.857143e-01, 1.428571e-01, 4.285714e-01
1393, 8.571429e-01, 1.428571e-01, 4.285714e-01
1394, 9.285714e-01, 1.428571e-01, 4.285714e-01
1395, 1.000000e+00, 1.428571e-01, 4.285714e-01
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1397, 7.142857e-02, 2.142857e-01, 4.285714e-01
1398, 1.428571e-01, 2.142857e-01, 4.285714e-01
1399, 2.142857e-01, 2.142857e-01, 4.285714e-01
1400, 2.857143e-01, 2.142857e-01, 4.285714e-01
1401, 3.571429e-01, 2.142857e-01, 4.285714e-01
1402, 4.285714e-01, 2.142857e-01, 4.285714e-01
1403, 5.000000e-01, 2.142857e-01, 4.285714e-01
1404, 5.714286e-01, 2.142857e-01, 4.285714e-01
1405, 6.428571e-01, 2.142857e-01, 4.285714e-01
1406, 7.142857e-01, 2.142857e-01, 4.285714e-01
1407, 7.857143e-01, 2.142857e-01, 4.285714e-01
1408, 8.571429e-01, 2.142857e-01, 4.285714e-01
1409, 9.285714e-01, 2.142857e-01, 4.285714e-01
1410, 1.000000e+00, 2.142857e-01, 4.285714e-01
1411, 0.000000e+00, 2.857143e-01, 4.285714e-01
1412, 7.142857e-02, 2.857143e-01, 4.285714e-01
1413, 1.428571e-01, 2.857143e-01, 4.285714e-01
1414, 2.142857e-01, 2.857143e-01, 4.285714e-01
1415, 2.857143e-01, 2.857143e-01, 4.285714e-01
1416, 3.571429e-01, 2.857143e-01, 4.285714e-01
1417, 4.285714e-01, 2.857143e-01, 4.285714e-01
1418, 5.000000e-01, 2.857143e-01, 4.285714e-01
1419, 5.714286e-01, 2.857143e-01, 4.285714e-01
1420, 6.428571e-01, 2.857143e-01, 4.285714e-01
1421, 7.142857e-01, 2.857143e-01, 4.285714e-01
1422, 7.857143e-01, 2.857143e-01, 4.285714e-01
1423, 8.571429e-01, 2.857143e-01, 4.285714e-01
1424, 9.285714e-01, 2.857143e-01, 4.285714e-01
1425, 1.000000e+00, 2.857143e-01, 4.285714e-01
1426, 0.000000e+00, 3.571429e-01, 4.285714e-01
1427, 7.142857e-02, 3.571429e-01, 4.285714e-01
1428, 1.428571e-01, 3.571429e-01, 4.285714e-01
1429, 2.142857e-01, 3.571429e-01, 4.285714e-01
1430, 2.857143e-01, 3.571429e-01, 4.285714e-01
1431, 3.571429e-01, 3.571429e-01, 4.285714e-01
1432, 4.285714e-01, 3.571429e-01, 4.285714e-01
1433, 5.000000e-01, 3.571429e-01, 4.285714e-01
1434, 5.714286e-01, 3.571429e-01, 4.285714e-01
1435, 6.428571e-01, 3.571429e-01, 4.285714e-01
1436, 7.142857e-01, 3.571429e-01, 4.285714e-01
1437, 7.857143e-01, 3.571429e-01, 4.285714e-01
1438, 8.571429e-01, 3.571429e-01, 4.285714e-01
1439, 9.285714e-01, 3.571429e-01, 4.285714e-01
1440, 1.000000e+00, 3.571429e-01, 4.285714e-01
1441, 0.000000e+00, 4.285714e-01, 4.285714e-01
1442, 7.142857e-02, 4.285714e-01, 4.285714e-01
1443, 1.428571e-01, 4.285714e-01, 4.285714e-01
1444, 2.142857e-01, 4.285714e-01, 4.285714e-01
1445, 2.857143e-01, 4.285714e-01, 4.285714e-01
1446, 3.571429e-01, 4.285714e-01, 4.285714e-01
1447, 4.285714e-01, 4.285714e-01, 4.285714e-01
1448, 5.000000e-01, 4.285714e-01, 4.285714e-01
1449, 5.714286e-01, 4.285714e-01, 4.285714e-01
1450, 6.428571e-01, 4.285714e-01, 4.285714e-01
1451, 7.142857e-01, 4.285714e-01, 4.285714e-01
1452, 7.857143e-01, 4.285714e-01, 4.285714e-01
1453, 8.571429e-01, 4.285714e-01, 4.285714e-01
1454, 9.285714e-01, 4.285714e-01, 4.285714e-01
1455, 1.000000e+00, 4.285714e-01, 4.285714e-01
1456, 0.000000e+00, 5.000000e-01, 4.285714e-01
1457, 7.142857e-02, 5.000000e-01, 4.285714e-01
1458, 1.428571e-01, 5.000000e-01, 4.285714e-01
1459, 2.142857e-01, 5.000000e-01, 4.285714e-01
1460, 2.857143e-01, 5.000000e-01, 4.285714e-01
1461, 3.571429e-01, 5.000000e-01, 4.285714e-01
1462, 4.285714e-01, 5.000000e-01, 4.285714e-01
1463, 5.000000e-01, 5.000000e-01, 4.285714e-01
1464, 5.714286e-01, 5.000000e-01, 4.285714e-01
1465, 6.428571e-01, 5.000000e-01, 4.285714e-01
1466, 7.142857e-01, 5.000000e-01, 4.285714e-01
1467, 7.857143e-01, 5.000000e-01, 4.285714e-01
1468, 8.571429e-01, 5.000000e-01, 4.285714e-01
1469, 9.285714e-01, 5.000000e-01, 4.285714e-01
1470, 1.000000e+00, 5.000000e-01, 4.285714e-01
1471, 0.000000e+00, 5.714286e-01, 4.285714e-01
1472, 7.142857e-02, 5.714286e-01, 4.285714e-01
1473, 1.428571e-01, 5.714286e-01, 4.285714e-01
1474, 2.142857e-01, 5.714286e-01, 4.285714e-01
1475, 2.857143e-01, 5.714286e-01, 4.285714e-01
1476, 3.571429e-01, 5.714286e-01, 4.285714e-01
1477, 4.285714e-01, 5.714286e-01, 4.285714e-01
1478, 5.000000e-01, 5.714286e-01, 4.285714e-01
1479, 5.714286e-01, 5.714286e-01, 4.285714e-01
1480, 6.428571e-01, 5.714286e-01, 4.285714e-01
1481, 7.142857e-01, 5.714286e-01, 4.285714e-01
1482, 7.857143e-01, 5.714286e-01, 4.285714e-01
1483, 8.571429e-01, 5.714286e-01, 4.285714e-01
1484, 9.285714e-01, 5.714286e-01, 4.285714e-01
1485, 1.000000e+00, 5.714286e-01, 4.285714e-01
1486, 0.000000e+00, 6.428571e-01, 4.285714e-01
1487, 7.142857e-02, 6.428571e-01, 4.285714e-01
1488, 1.428571e-01, 6.428571e-01, 4.285714e-01
1489, 2.142857e-01, 6.428571e-01, 4.285714e-01
1490, 2.857143e-01, 6.428571e-01, 4.285714e-01
1491, 3.571429e-01, 6.428571e-01, 4.285714e-01
1492, 4.285714e-01, 6.428571e-01, 4.285714e-01
1493, 5.000000e-01, 6.428571e-01, 4.285714e-01
1494, 5.714286e-01, 6.428571e-01, 4.285714e-01
1495, 6.428571e-01, 6.428571e-01, 4.285714e-01
1496, 7.142857e-01, 6.428571e-01, 4.285714e-01
1497, 7.857143e-01, 6.428571e-01, 4.285714e-01
1498, 8.571429e-01, 6.428571e-01, 4.285714e-01
1499, 9.285714e-01, 6.428571e-01, 4.285714e-01
1500, 1.000000e+00, 6.428571e-01, 4.285714e-01
1501, 0.000000e+00, 7.142857e-01, 4.285714e-01
1502, 7.142857e-02, 7.142857e-01, 4.285714e-01
1503, 1.428571e-01, 7.142857e-01, 4.285714e-01
1504, 2.142857e-01, 7.142857e-01, 4.285714e-01
1505, 2.857143e-01, 7.142857e-01, 4.285714e-01
1506, 3.571429e-01, 7.142857e-01, 4.285714e-01
1507, 4.285714e-01, 7.142857e-01, 4.285714e-01
1508, 5.000000e-01, 7.142857e-01, 4.285714e-01
1509, 5.714286e-01, 7.142857e-01, 4.285714e-01
1510, 6.428571e-01, 7.142857e-01, 4.285714e-01
1511, 7.142857e-01, 7.142857e-01, 4.285714e-01
1512, 7.857143e-01, 7.142857e-01, 4.285714e-01
1513, 8.571429e-01, 7.142857e-01, 4.285714e-01
1514, 9.285714e-01, 7.142857e-01, 4.285714e-01
1515, 1.000000e+00, 7.142857e-01, 4.285714e-01
1516, 0.000000e+00, 7.857143e-01, 4.285714e-01
1517, 7.142857e-02, 7.857143e-01, 4.285714e-01
1518, 1.428571e-01, 7.857143e-01, 4.285714e-01
1519, 2.142857e-01, 7.857143e-01, 4.285714e-01
1520, 2.857143e-01, 7.857143e-01, 4.285714e-01
1521, 3.571429e-01, 7.857143e-01, 4.285714e-01
1522, 4.285714e-01, 7.857143e-01, 4.285714e-01
1523, 5.000000e-01, 7.857143e-01, 4.285714e-01
1524, 5.714286e-01, 7.857143e-01, 4.285714e-01
1525, 6.428571e-01, 7.857143e-01, 4.285714e-01
1526, 7.142857e-01, 7.857143e-01, 4.285714e-01
1527, 7.857143e-01, 7.857143e-01, 4.285714e-01
1528, 8.571429e-01, 7.857143e-01, 4.285714e-01
1529, 9.285714e-01, 7.857143e-01, 4.285714e-01
1530, 1.000000e+00, 7.857143e-01, 4.285714e-01
1531, 0.000000e+00, 8.571429e-01, 4.285714e-01
1532, 7.142857e-02, 8.571429e-01, 4.285714e-01
1533, 1.428571e-01, 8.571429e-01, 4.285714e-01
1534, 2.142857e-01, 8.571429e-01, 4.285714e-01
1535, 2.857143e-01, 8.571429e-01, 4.285714e-01
1536, 3.571429e-01, 8.571429e-01, 4.285714e-01
1537, 4.285714e-01, 8.571429e-01, 4.285714e-01
1538, 5.000000e-01, 8.571429e-01, 4.285714e-01
1539, 5.714286e-01, 8.571429e-01, 4.285714e-01
1540, 6.428571e-01, 8.571429e-01, 4.285714e-01
1541, 7.142857e-01, 8.571429e-01, 4.285714e-01
1542, 7.857143e-01, 8.571429e-01, 4.285714e-01
1543, 8.571429e-01, 8.571429e-01, 4.285714e-01
1544, 9.285714e-01, 8.571429e-01, 4.285714e-01
1545, 1.000000e+00, 8.571429e-01, 4.285714e-01
1546, 0.000000e+00, 9.285714e-01, 4.285714e-01
1547, 7.142857e-02, 9.285714e-01, 4.285714e-01
1548, 1.428571e-01, 9.285714e-01, 4.285714e-01
1549, 2.142857e-01, 9.285714e-01, 4.285714e-01
1550, 2.857143e-01, 9.285714e-01, 4.285714e-01
1551, 3.571429e-01, 9.285714e-01, 4.285714e-01
1552, 4.285714e-01, 9.285714e-01, 4.285714e-01
1553, 5.000000e-01, 9.285714e-01, 4.285714e-01
1554, 5.714286e-01, 9.285714e-01, 4.285714e-01
1555, 6.428571e-01, 9.285714e-01, 4.285714e-01
1556, 7.142857e-01, 9.285714e-01, 4.285714e-01
1557, 7.857143e-01, 9.285714e-01, 4.285714e-01
1558, 8.571429e-01, 9.285714e-01, 4.285714e-01
1559, 9.285714e-01, 9.285714e-01, 4.285714e-01
1560, 1.000000e+00, 9.285714e-01, 4.285714e-01
1561, 0.000000e+00, 1.000000e+00, 4.285714e-01
1562, 7.142857e-02, 1.000000e+00, 4.285714e-01
1563, 1.428571e-01, 1.000000e+00, 4.285714e-01
1564, 2.142857e-01, 1.000000e+00, 4.285714e-01
1565, 2.857143e-01, 1.000000e+00, 4.285714e-01
1566, 3.571429e-01, 1.000000e+00, 4.285714e-01
1567, 4.285714e-01, 1.000000e+00, 4.285714e-01
1568, 5.000000e-01, 1.000000e+00, 4.285714e-01
1569, 5.714286e-01, 1.000000e+00, 4.285714e-01
1570, 6.428571e-01, 1.000000e+00, 4.285714e-01
1571, 7.142857e-01, 1.000000e+00, 4.285714e-01
1572, 7.857143e-01, 1.000000e+00, 4.285714e-01
1573, 8.571429e-01, 1.000000e+00, 4.285714e-01
1574, 9.285714e-01, 1.000000e+00, 4.285714e-01
1575, 1.000000e+00, 1.000000e+00, 4.285714e-01
1576, 0.000000e+00, 0.000000e+00, 5.000000e-01
1577, 7.142857e-02, 0.000000e+00, 5.000000e-01
1578, 1.428571e-01, 0.000000e+00, 5.000000e-01
1579, 2.142857e-01, 0.000000e+00, 5.000000e-01
1580, 2.857143e-01, 0.000000e+00, 5.000000e-01
1581, 3.571429e-01, 0.000000e+00, 5.000000e-01
1582, 4.285714e-01, 0.000000e+00, 5.000000e-01
1583, 5.000000e-01, 0.000000e+00, 5.000000e-01
1584, 5.714286e-01, 0.000000e+00, 5.000000e-01
1585, 6.428571e-01, 0.000000e+00, 5.000000e-01
1586, 7.142857e-01, 0.000000e+00, 5.000000e-01
1587, 7.857143e-01, 0.000000e+00, 5.000000e-01
1588, 8.571429e-01, 0.000000e+00, 5.000000e-01
1589, 9.285714e-01, 0.000000e+00, 5.000000e-01
1590, 1.000000e+00, 0.000000e+00, 5.000000e-01
1591, 0.000000e+00, 7.142857e-02, 5.000000e-01
1592, 7.142857e-02, 7.142857e-02, 5.000000e-01
1593, 1.428571e-01, 7.142857e-02, 5.000000e-01
1594, 2.142857e-01, 7.142857e-02, 5.000000e-01
1595, 2.857143e-01, 7.142857e-02, 5.000000e-01
1596, 3.571429e-01, 7.142857e-02, 5.000000e-01
1597, 4.285714e-01, 7.142857e-02, 5.000000e-01
1598, 5.000000e-01, 7.142857e-02, 5.000000e-01
1599, 5.714286e-01, 7.142857e-02, 5.000000e-01
1600, 6.428571e-01, 7.142857e-02, 5.000000e-01
1601, 7.142857e-01, 7.142857e-02, 5.000000e-01
1602, 7.857143e-01, 7.142857e-02, 5.000000e-01
1603, 8.571429e-01, 7.142857e-02, 5.000000e-01
1604, 9.285714e-01, 7.142857e-02, 5.000000e-01
1605, 1.000000e+00, 7.142857e-02, 5.000000e-01
1606, 0.000000e+00, 1.428571e-01, 5.000000e-01
1607, 7.142857e-02, 1.428571e-01, 5.000000e-01
1608, 1.428571e-01, 1.428571e-01, 5.000000e-01
1609, 2.142857e-01, 1.428571e-01, 5.000000e-01
1610, 2.857143e-01, 1.428571e-01, 5.000000e-01
1611, 3.571429e-01, 1.428571e-01, 5.000000e-01
1612, 4.285714e-01, 1.428571e-01, 5.000000e-01
1613, 5.000000e-01, 1.428571e-01, 5.000000e-01
1614, 5.714286e-01, 1.428571e-01, 5.000000e-01
1615, 6.428571e-01, 1.428571e-01, 5.000000e-01
1616, 7.142857e-01, 1.428571e-01, 5.000000e-01
1617, 7.857143e-01, 1.428571e-01, 5.000000e-01
1618, 8.571429e-01, 1.428571e-01, 5.000000e-01
1619, 9.285714e-01, 1.428571e-01, 5.000000e-01
1620, 1.000000e+00, 1.428571e-01, 5.000000e-01
1621, 0.000000e+00, 2.142857e-01, 5.000000e-01
1622, 7.142857e-02, 2.142857e-01, 5.000000e-01
1623, 1.428571e-01, 2.142857e-01, 5.000000e-01
1624, 2.142857e-01, 2.142857e-01, 5.000000e-01
1625, 2.857143e-01, 2.142857e-01, 5.000000e-01
1626, 3.571429e-01, 2.142857e-01, 5.000000e-01
1627, 4.285714e-01, 2.142857e-01, 5.000000e-01
1628, 5.000000e-01, 2.142857e-01, 5.000000e-01
1629, 5.714286e-01, 2.142857e-01, 5.000000e-01
1630, 6.428571e-01, 2.142857e-01, 5.000000e-01
1631, 7.142857e-01, 2.142857e-01, 5.000000e-01
1632, 7.857143e-01, 2.142857e-01, 5.000000e-01
1633, 8.571429e-01, 2.142857e-01, 5.000000e-01
1634, 9.285714e-01, 2.142857e-01, 5.000000e-01
1635, 1.000000e+00, 2.142857e-01, 5.000000e-01
1636, 0.000000e+00, 2.857143e-01, 5.000000e-01
1637, 7.142857e-02, 2.857143e-01, 5.000000e-01
1638, 1.428571e-01, 2.857143e-01, 5.000000e-01
1639, 2.142857e-01, 2.857143e-01, 5.000000e-01
1640, 2.857143e-01, 2.857143e-01, 5.000000e-01
1641, 3.571429e-01, 2.857143e-01, 5.000000e-01
1642, 4.285714e-01, 2.857143e-01, 5.000000e-01
1643, 5.000000e-01, 2.857143e-01, 5.000000e-01
1644, 5.714286e-01, 2.857143e-01, 5.000000e-01
1645, 6.428571e-01, 2.857143e-01, 5.000000e-01
1646, 7.142857e-01, 2.857143e-01, 5.000000e-01
1647, 7.857143e-01, 2.857143e-01, 5.000000e-01
1648, 8.571429e-01, 2.857143e-01, 5.000000e-01
1649, 9.285714e-01, 2.857143e-01, 5.000000e-01
1650, 1.000000e+00, 2.857143e-01, 5.000000e-01
1651, 0.000000e+00, 3.571429e-01, 5.000000e-01
1652, 7.142857e-02, 3.571429e-01, 5.000000e-01
1653, 1.428571e-01, 3.571429e-01, 5.000000e-01
1654, 2.142857e-01, 3.571429e-01, 5.000000e-01
1655, 2.857143e-01, 3.571429e-01, 5.000000e-01
1656, 3.571429e-01, 3.571429e-01, 5.000000e-01
1657, 4.285714e-01, 3.571429e-01, 5.000000e-01
1658, 5.000000e-01, 3.571429e-01, 5.000000e-01
1659, 5.714286e-01, 3.571429e-01, 5.000000e-01
1660, 6.428571e-01, 3.571429e-01, 5.000000e-01
1661, 7.142857e-01, 3.571429e-01, 5.000000e-01
1662, 7.857143e-01, 3.571429e-01, 5.000000e-01
1663, 8.571429e-01, 3.571429e-01, 5.000000e-01
1664, 9.285714e-01, 3.571429e-01, 5.000000e-01
1665, 1.000000e+00, 3.571429e-01, 5.000000e-01
1666, 0.000000e+00, 4.285714e-01, 5.000000e-01
1667, 7.142857e-02, 4.285714e-01, 5.000000e-01
1668, 1.428571e-01, 4.285714e-01, 5.000000e-01
1669, 2.142857e-01, 4.285714e-01, 5.000000e-01
1670, 2.857143e-01, 4.285714e-01, 5.000000e-01
1671, 3.571429e-01, 4.285714e-01, 5.000000e-01
1672, 4.285714e-01, 4.285714e-01, 5.000000e-01
1673, 5.000000e-01, 4.285714e-01, 5.000000e-01
1674, 5.714286e-01, 4.285714e-01, 5.000000e-01
1675, 6.428571e-01, 4.285714e-01, 5.000000e-01
1676, 7.142857e-01, 4.285714e-01, 5.000000e-01
1677, 7.857143e-01, 4.285714e-01, 5.000000e-01
1678, 8.571429e-01, 4.285714e-01, 5.000000e-01
1679, 9.285714e-01, 4.285714e-01, 5.000000e-01
1680, 1.000000e+00, 4.285714e-01, 5.000000e-01
1681, 0.000000e+00, 5.000000e-01, 5.000000e-01
1682, 7.142857e-02, 5.000000e-01, 5.000000e-01
1683, 1.428571e-01, 5.000000e-01, 5.000000e-01
1684, 2.142857e-01, 5.000000e-01, 5.000000e-01
1685, 2.857143e-01, 5.000000e-01, 5.000000e-01
1686, 3.571429e-01, 5.000000e-01, 5.000000e-01
1687, 4.285714e-01, 5.000000e-01, 5.000000e-01
1688, 5.000000e-01, 5.000000e-01, 5.000000e-01
1689, 5.714286e-01, 5.000000e-01, 5.000000e-01
1690, 6.428571e-01, 5.000000e-01, 5.000000e-01
1691, 7.142857e-01, 5.000000e-01, 5.000000e-01
1692, 7.857143e-01, 5.000000e-01, 5.000000e-01
1693, 8.571429e-01, 5.000000e-01, 5.000000e-01
1694, 9.285714e-01, 5.000000e-01, 5.000000e-01
1695, 1.000000e+00, 5.000000e-01, 5.000000e-01
1696, 0.000000e+00, 5.714286e-01, 5.000000e-01
1697, 7.142857e-02, 5.714286e-01, 5.000000e-01
1698, 1.428571e-01, 5.714286e-01, 5.000000e-01
1699, 2.142857e-01, 5.714286e-01, 5.000000e-01
1700, 2.857143e-01, 5.714286e-01, 5.000000e-01
1701, 3.571429e-01, 5.714286e-01, 5.000000e-01
1702, 4.285714e-01, 5.714286e-01, 5.000000e-01
1703, 5.000000e-01, 5.714286e-01, 5.000000e-01
1704, 5.714286e-01, 5.714286e-01, 5.000000e-01
1705, 6.428571e-01, 5.714286e-01, 5.000000e-01
1706, 7.142857e-01, 5.714286e-01, 5.000000e-01
1707, 7.857143e-01, 5.714286e-01, 5.000000e-01
1708, 8.571429e-01, 5.714286e-01, 5.000000e-01
1709, 9.285714e-01, 5.714286e-01, 5.000000e-01
1710, 1.000000e+00, 5.714286e-01, 5.000000e-01
1711, 0.000000e+00, 6.428571e-01, 5.000000e-01
1712, 7.142857e-02, 6.428571e-01, 5.000000e-01
1713, 1.428571e-01, 6.428571e-01, 5.000000e-01
1714, 2.142857e-01, 6.428571e-01, 5.000000e-01
1715, 2.857143e-01, 6.428571e-01, 5.000000e-01
1716, 3.571429e-01, 6.428571e-01, 5.000000e-01
1717, 4.285714e-01, 6.428571e-01, 5.000000e-01
1718, 5.000000e-01, 6.428571e-01, 5.000000e-01
1719, 5.714286e-01, 6.428571e-01, 5.000000e-01
1720, 6.428571e-01, 6.428571e-01, 5.000000e-01
1721, 7.142857e-01, 6.428571e-01, 5.000000e-01
1722, 7.857143e-01, 6.428571e-01, 5.000000e-01
1723, 8.571429e-01, 6.428571e-01, 5.000000e-01
1724, 9.285714e-01, 6.428571e-01, 5.000000e-01
1725, 1.000000e+00, 6.428571e-01, 5.000000e-01
1726, 0.000000e+00, 7.142857e-01, 5.000000e-01
1727, 7.142857e-02, 7.142857e-01, 5.000000e-01
1728, 1.428571e-01, 7.142857e-01, 5.000000e-01
1729, 2.142857e-01, 7.142857e-01, 5.000000e-01
1730, 2.857143e-01, 7.142857e-01, 5.000000e-01
1731, 3.571429e-01, 7.142857e-01, 5.000000e-01
1732, 4.285714e-01, 7.142857e-01, 5.000000e-01
1733, 5.000000e-01, 7.142857e-01, 5.000000e-01
1734, 5.714286e-01, 7.142857e-01, 5.000000e-01
1735, 6.428571e-01, 7.142857e-01, 5.000000e-01
1736, 7.142857e-01, 7.142857e-01, 5.000000e-01
1737, 7.857143e-01, 7.142857e-01, 5.000000e-01
1738, 8.571429e-01, 7.142857e-01, 5.000000e-01
1739, 9.285714e-01, 7.142857e-01, 5.000000e-01
1740, 1.000000e+00, 7.142857e-01, 5.000000e-01
1741, 0.000000e+00, 7.857143e-01, 5.000000e-01
1742, 7.142857e-02, 7.857143e-01, 5.000000e-01
1743, 1.428571e-01, 7.857143e-01, 5.000000e-01
1744, 2.142857e-01, 7.857143e-01, 5.000000e-01
1745, 2.857143e-01, 7.857143e-01, 5.000000e-01
1746, 3.571429e-01, 7.857143e-01, 5.000000e-01
1747, 4.285714e-01, 7.857143e-01, 5.000000e-01
1748, 5.000000e-01, 7.857143e-01, 5.000000e-01
1749, 5.714286e-01, 7.857143e-01, 5.000000e-01
1750, 6.428571e-01, 7.857143e-01, 5.000000e-01
1751, 7.142857e-01, 7.857143e-01, 5.000000e-01
1752, 7.857143e-01, 7.857143e-01, 5.000000e-01
1753, 8.571429e-01, 7.857143e-01, 5.000000e-01
1754, 9.285714e-01, 7.857143e-01, 5.000000e-01
1755, 1.000000e+00, 7.857143e-01, 5.000000e-01
1756, 0.000000e+00, 8.571429e-01, 5.000000e-01
1757, 7.142857e-02, 8.571429e-01, 5.000000e-01
1758, 1.428571e-01, 8.571429e-01, 5.000000e-01
1759, 2.142857e-01, 8.571429e-01, 5.000000e-01
1760, 2.857143e-01, 8.571429e-01, 5.000000e-01
1761, 3.571429e-01, 8.571429e-01, 5.000000e-01
1762, 4.285714e-01, 8.571429e-01, 5.000000e-01
1763, 5.000000e-01, 8.571429e-01, 5.000000e-01
1764, 5.714286e-01, 8.571429e-01, 5.000000e-01
1765, 6.428571e-01, 8.571429e-01, 5.000000e-01
1766, 7.142857e-01, 8.571429e-01, 5.000000e-01
1767, 7.857143e-01, 8.571429e-01, 5.000000e-01
1768, 8.571429e-01, 8.571429e-01, 5.000000e-01
1769, 9.285714e-01, 8.571429e-01, 5.000000e-01
1770, 1.000000e+00, 8.571429e-01, 5.000000e-01
1771, 0.000000e+00, 9.285714e-01, 5.000000e-01
1772, 7.142857e-02, 9.285714e-01, 5.000000e-01
1773, 1.428571e-01, 9.285714e-01, 5.000000e-01
1774, 2.142857e-01, 9.285714e-01, 5.000000e-01
1775, 2.857143e-01, 9.285714e-01, 5.000000e-01
1776, 3.571429e-01, 9.285714e-01, 5.000000e-01
1777, 4.285714e-01, 9.285714e-01, 5.000000e-01
1778, 5.000000e-01, 9.285714e-01, 5.000000e-01
1779, 5.714286e-01, 9.285714e-01, 5.000000e-01
1780, 6.428571e-01, 9.285714e-01, 5.000000e-01
1781, 7.142857e-01, 9.285714e-01, 5.000000e-01
1782, 7.857143e-01, 9.285714e-01, 5.000000e-01
1783, 8.571429e-01, 9.285714e-01, 5.000000e-01
1784, 9.285714e-01, 9.285714e-01, 5.000000e-01
1785, 1.000000e+00, 9.285714e-01, 5.000000e-01
1786, 0.000000e+00, 1.000000e+00, 5.000000e-01
1787, 7.142857e-02, 1.000000e+00, 5.000000e-01
1788, 1.428571e-01, 1.000000e+00, 5.000000e-01
1789, 2.142857e-01, 1.000000e+00, 5.000000e-01
1790, 2.857143e-01, 1.000000e+00, 5.000000e-01
1791, 3.571429e-01, 1.000000e+00, 5.000000e-01
1792, 4.285714e-01, 1.000000e+00, 5.000000e-01
1793, 5.000000e-01, 1.000000e+00, 5.000000e-01
1794, 5.714286e-01, 1.000000e+00, 5.000000e-01
1795, 6.428571e-01, 1.000000e+00, 5.000000e-01
1796, 7.142857e-01, 1.000000e+00, 5.000000e-01
1797, 7.857143e-01, 1.000000e+00, 5.000000e-01
1798, 8.571429e-01, 1.000000e+00, 5.000000e-01
1799, 9.285714e-01, 1.000000e+00, 5.000000e-01
1800, 1.000000e+00, 1.000000e+00, 5.000000e-01
1801, 0.000000e+00, 0.000000e+00, 5.714286e-01
1802, 7.142857e-02, 0.000000e+00, 5.714286e-01
1803, 1.428571e-01, 0.000000e+00, 5.714286e-01
1804, 2.142857e-01, 0.000000e+00, 5.714286e-01
1805, 2.857143e-01, 0.000000e+00, 5.714286e-01
1806, 3.571429e-01, 0.000000e+00, 5.714286e-01
1807, 4.285714e-01, 0.000000e+00, 5.714286e-01
1808, 5.000000e-01, 0.000000e+00, 5.714286e-01
1809, 5.714286e-01, 0.000000e+00, 5.714286e-01
1810, 6.428571e-01, 0.000000e+00, 5.714286e-01
1811, 7.142857e-01, 0.000000e+00, 5.714286e-01
1812, 7.857143e-01, 0.000000e+00, 5.714286e-01
1813, 8.571429e-01, 0.000000e+00, 5.714286e-01
1814, 9.285714e-01, 0.000000e+00, 5.714286e-01
1815, 1.000000e+00, 0.000000e+00, 5.714286e-01
1816, 0.000000e+00, 7.142857e-02, 5.714286e-01
1817, 7.142857e-02, 7.142857e-02, 5.714286e-01
1818, 1.428571e-01, 7.142857e-02, 5.714286e-01
1819, 2.142857e-01, 7.142857e-02, 5.714286e-01
1820, 2.857143e-01, 7.142857e-02, 5.714286e-01
1821, 3.571429e-01, 7.142857e-02, 5.714286e-01
1822, 4.285714e-01, 7.142857e-02, 5.714286e-01
1823, 5.000000e-01, 7.142857e-02, 5.714286e-01
1824, 5.714286e-01, 7.142857e-02, 5.714286e-01
1825, 6.428571e-01, 7.142857e-02, 5.714286e-01
1826, 7.142857e-01, 7.142857e-02, 5.714286e-01
1827, 7.857143e-01, 7.142857e-02, 5.714286e-01
1828, 8.571429e-01, 7.142857e-02, 5.714286e-01
1829, 9.285714e-01, 7.142857e-02, 5.714286e-01
1830, 1.000000e+00, 7.142857e-02, 5.714286e-01
1831, 0.000000e+00, 1.428571e-01, 5.714286e-01
1832, 7.142857e-02, 1.428571e-01, 5.714286e-01
1833, 1.428571e-01, 1.428571e-01, 5.714286e-01
1834, 2.142857e-01, 1.428571e-01, 5.714286e-01
1835, 2.857143e-01, 1.428571e-01, 5.714286e-01
1836, 3.571429e-01, 1.428571e-01, 5.714286e-01
1837, 4.285714e-01, 1.428571e-01, 5.714286e-01
1838, 5.000000e-01, 1.428571e-01, 5.714286e-01
1839, 5.714286e-01, 1.428571e-01, 5.714286e-01
1840, 6.428571e-01, 1.428571e-01, 5.714286e-01
1841, 7.142857e-01, 1.428571e-01, 5.714286e-01
1842, 7.857143e-01, 1.428571e-01, 5.714286e-01
1843, 8.571429e-01, 1.428571e-01, 5.714286e-01
1844, 9.285714e-01, 1.428571e-01, 5.714286e-01
1845, 1.000000e+00, 1.428571e-01, 5.714286e-01
1846, 0.000000e+00, 2.142857e-01, 5.714286e-01
1847, 7.142857e-02, 2.142857e-01, 5.714286e-01
1848, 1.428571e-01, 2.142857e-01, 5.714286e-01
1849, 2.142857e-01, 2.142857e-01, 5.714286e-01
1850, 2.857143e-01, 2.142857e-01, 5.714286e-01
1851, 3.571429e-01, 2.142857e-01, 5.714286e-01
1852, 4.285714e-01, 2.142857e-01, 5.714286e-01
1853, 5.000000e-01, 2.142857e-01, 5.714286e-01
1854, 5.714286e-01, 2.142857e-01, 5.714286e-01
1855, 6.428571e-01, 2.142857e-01, 5.714286e-01
1856, 7.142857e-01, 2.142857e-01, 5.714286e-01
1857, 7.857143e-01, 2.142857e-01, 5.714286e-01
1858, 8.571429e-01, 2.142857e-01, 5.714286e-01
1859, 9.285714e-01, 2.142857e-01, 5.714286e-01
1860, 1.000000e+00, 2.142857e-01, 5.714286e-01
1861, 0.000000e+00, 2.857143e-01, 5.714286e-01
1862, 7.142857e-02, 2.857143e-01, 5.714286e-01
1863, 1.428571e-01, 2.857143e-01, 5.714286e-01
1864, 2.142857e-01, 2.857143e-01, 5.714286e-01
1865, 2.857143e-01, 2.857143e-01, 5.714286e-01
1866, 3.571429e-01, 2.857143e-01, 5.714286e-01
1867, 4.285714e-01, 2.857143e-01, 5.714286e-01
1868, 5.000000e-01, 2.857143e-01, 5.714286e-01
1869, 5.714286e-01, 2.857143e-01, 5.714286e-01
1870, 6.428571e-01, 2.857143e-01, 5.714286e-01
1871, 7.142857e-01, 2.857143e-01, 5.714286e-01
1872, 7.857143e-01, 2.857143e-01, 5.714286e-01
1873, 8.571429e-01, 2.857143e-01, 5.714286e-01
1874, 9.285714e-01, 2.857143e-01, 5.714286e-01
1875, 1.000000e+00, 2.857143e-01, 5.714286e-01
1876, 0.000000e+00, 3.571429e-01, 5.714286e-01
1877, 7.142857e-02, 3.571429e-01, 5.714286e-01
1878, 1.428571e-01, 3.571429e-01, 5.714286e-01
1879, 2.142857e-01, 3.571429e-01, 5.714286e-01
1880, 2.857143e-01, 3.571429e-01, 5.714286e-01
1881, 3.571429e-01, 3.571429e-01, 5.714286e-01
1882, 4.285714e-01, 3.571429e-01, 5.714286e-01
1883, 5.000000e-01, 3.571429e-01, 5.714286e-01
1884, 5.714286e-01, 3.571429e-01, 5.714286e-01
1885, 6.428571e-01, 3.571429e-01, 5.714286e-01
1886, 7.142857e-01, 3.571429e-01, 5.714286e-01
1887, 7.857143e-01, 3.571429e-01, 5.714286e-01
1888, 8.571429e-01, 3.571429e-01, 5.714286e-01
1889, 9.285714e-01, 3.571429e-01, 5.714286e-01
1890, 1.000000e+00, 3.571429e-01, 5.714286e-01
1891, 0.000000e+00, 4.285714e-01, 5.714286e-01
1892, 7.142857e-02, 4.285714e-01, 5.714286e-01
1893, 1.428571e-01, 4.285714e-01, 5.714286e-01
1894, 2.142857e-01, 4.285714e-01, 5.714286e-01
1895, 2.857143e-01, 4.285714e-01, 5.714286e-01
1896, 3.571429e-01, 4.285714e-01, 5.714286e-01
1897, 4.285714e-01, 4.285714e-01, 5.714286e-01
1898, 5.000000e-01, 4.285714e-01, 5.714286e-01
1899, 5.714286e-01, 4.285714e-01, 5.714286e-01
1900, 6.428571e-01, 4.285714e-01, 5.714286e-01
1901, 7.142857e-01, 4.285714e-01, 5.714286e-01
1902, 7.857143e-01, 4.285714e-01, 5.714286e-01
1903, 8.571429e-01, 4.285714e-01, 5.714286e-01
1904, 9.285714e-01, 4.285714e-01, 5.714286e-01
1905, 1.000000e+00, 4.285714e-01, 5.714286e-01
1906, 0.000000e+00, 5.000000e-01, 5.714286e-01
1907, 7.142857e-02, 5.000000e-01, 5.714286e-01
1908, 1.428571e-01, 5.000000e-01, 5.714286e-01
1909, 2.142857e-01, 5.000000e-01, 5.714286e-01
1910, 2.857143e-01, 5.000000e-01, 5.714286e-01
1911, 3.571429e-01, 5.000000e-01, 5.714286e-01
1912, 4.285714e-01, 5.000000e-01, 5.714286e-01
1913, 5.000000e-01, 5.000000e-01, 5.714286e-01
1914, 5.714286e-01, 5.000000e-01, 5.714286e-01
1915, 6.428571e-01, 5.000000e-01, 5.714286e-01
1916, 7.142857e-01, 5.000000e-01, 5.714286e-01
1917, 7.857143e-01, 5.000000e-01, 5.714286e-01
1918, 8.571429e-01, 5.000000e-01, 5.714286e-01
1919, 9.285714e-01, 5.000000e-01, 5.714286e-01
1920, 1.000000e+00, 5.000000e-01, 5.714286e-01
1921, 0.000000e+00, 5.714286e-01, 5.714286e-01
1922, 7.142857e-02, 5.714286e-01, 5.714286e-01
1923, 1.428571e-01, 5.714286e-01, 5.714286e-01
1924, 2.142857e-01, 5.714286e-01, 5.714286e-01
1925, 2.857143e-01, 5.714286e-01, 5.714286e-01
1926, 3.571429e-01, 5.714286e-01, 5.714286e-01
1927, 4.285714e-01, 5.714286e-01, 5.714286e-01
1928, 5.000000e-01, 5.714286e-01, 5.714286e-01
1929, 5.714286e-01, 5.714286e-01, 5.714286e-01
1930, 6.428571e-01, 5.714286e-01, 5.714286e-01
1931, 7.142857e-01, 5.714286e-01, 5.714286e-01
1932, 7.857143e-01, 5.714286e-01, 5.714286e-01
1933, 8.571429e-01, 5.714286e-01, 5.714286e-01
1934, 9.285714e-01, 5.714286e-01, 5.714286e-01
1935, 1.000000e+00, 5.714286e-01, 5.714286e-01
1936, 0.000000e+00, 6.428571e-01, 5.714286e-01
1937, 7.142857e-02, 6.428571e-01, 5.714286e-01
1938, 1.428571e-01, 6.428571e-01, 5.714286e-01
1939, 2.142857e-01, 6.428571e-01, 5.714286e-01
1940, 2.857143e-01, 6.428571e-01, 5.714286e-01
1941, 3.571429e-01, 6.428571e-01, 5.714286e-01
1942, 4.285714e-01, 6.428571e-01, 5.714286e-01
1943, 5.000000e-01, 6.428571e-01, 5.714286e-01
1944, 5.714286e-01, 6.428571e-01, 5.714286e-01
1945, 6.428571e-01, 6.428571e-01, 5.714286e-01
1946, 7.142857e-01, 6.428571e-01, 5.714286e-01
1947, 7.857143e-01, 6.428571e-01, 5.714286e-01
1948, 8.571429e-01, 6.428571e-01, 5.714286e-01
1949, 9.285714e-01, 6.428571e-01, 5.714286e-01
1950, 1.000000e+00, 6.428571e-01, 5.714286e-01
1951, 0.000000e+00, 7.142857e-01, 5.714286e-01
1952, 7.142857e-02, 7.142857e-01, 5.714286e-01
1953, 1.428571e-01, 7.142857e-01, 5.714286e-01
1954, 2.142857e-01, 7.142857e-01, 5.714286e-01
1955, 2.857143e-01, 7.142857e-01, 5.714286e-01
1956, 3.571429e-01, 7.142857e-01, 5.714286e-01
1957, 4.285714e-01, 7.142857e-01, 5.714286e-01
1958, 5.000000e-01, 7.142857e-01, 5.714286e-01
1959, 5.714286e-01, 7.142857e-01, 5.714286e-01
1960, 6.428571e-01, 7.142857e-01, 5.714286e-01
1961, 7.142857e-01, 7.142857e-01, 5.714286e-01
1962, 7.857143e-01, 7.142857e-01, 5.714286e-01
1963, 8.571429e-01, 7.142857e-01, 5.714286e-01
1964, 9.285714e-01, 7.142857e-01, 5.714286e-01
1965, 1.000000e+00, 7.142857e-01, 5.714286e-01
1966, 0.000000e+00, 7.857143e-01, 5.714286e-01
1967, 7.142857e-02, 7.857143e-01, 5.714286e-01
1968, 1.428571e-01, 7.857143e-01, 5.714286e-01
1969, 2.142857e-01, 7.857143e-01, 5.714286e-01
1970, 2.857143e-01, 7.857143e-01, 5.714286e-01
1971, 3.571429e-01, 7.857143e-01, 5.714286e-01
1972, 4.285714e-01, 7.857143e-01, 5.714286e-01
1973, 5.000000e-01, 7.857143e-01, 5.714286e-01
1974, 5.714286e-01, 7.857143e-01, 5.714286e-01
1975, 6.428571e-01, 7.857143e-01, 5.714286e-01
1976, 7.142857e-01, 7.857143e-01, 5.714286e-01
1977, 7.857143e-01, 7.857143e-01, 5.714286e-01
1978, 8.571429e-01, 7.857143e-01, 5.714286e-01
1979, 9.285714e-01, 7.857143e-01, 5.714286e-01
1980, 1.000000e+00, 7.857143e-01, 5.714286e-01
1981, 0.000000e+00, 8.571429e-01, 5.714286e-01
1982, 7.142857e-02, 8.571429e-01, 5.714286e-01
1983, 1.428571e-01, 8.571429e-01, 5.714286e-01
1984, 2.142857e-01, 8.571429e-01, 5.714286e-01
1985, 2.857143e-01, 8.571429e-01, 5.714286e-01
1986, 3.571429e-01, 8.571429e-01, 5.714286e-01
1987, 4.285714e-01, 8.571429e-01, 5.714286e-01
1988, 5.000000e-01, 8.571429e-01, 5.714286e-01
1989, 5.714286e-01, 8.571429e-01, 5.714286e-01
1990, 6.428571e-01, 8.571429e-01, 5.714286e-01
1991, 7.142857e-01, 8.571429e-01, 5.714286e-01
1992, 7.857143e-01, 8.571429e-01, 5.714286e-01
1993, 8.571429e-01, 8.571429e-01, 5.714286e-01
1994, 9.285714e-01, 8.571429e-01, 5.714286e-01
1995, 1.000000e+00, 8.571429e-01, 5.714286e-01
1996, 0.000000e+00, 9.285714e-01, 5.714286e-01
1997, 7.142857e-02, 9.285714e-01, 5.714286e-01
1998, 1.428571e-01, 9.285714e-01, 5.714286e-01
1999, 2.142857e-01, 9.285714e-01, 5.714286e-01
2000, 2.857143e-01, 9.285714e-01, 5.714286e-01
2001, 3.571429e-01, 9.285714e-01, 5.714286e-01
2002, 4.285714e-01, 9.285714e-01, 5.714286e-01
2003, 5.000000e-01, 9.285714e-01, 5.714286e-01
2004, 5.714286e-01, 9.285714e-01, 5.714286e-01
2005, 6.428571e-01, 9.285714e-01, 5.714286e-01
2006, 7.142857e-01, 9.285714e-01, 5.714286e-01
2007, 7.857143e-01, 9.285714e-01, 5.714286e-01
2008, 8.571429e-01, 9.285714e-01, 5.714286e-01
2009, 9.285714e-01, 9.285714e-01, 5.714286e-01
2010, 1.000000e+00, 9.285714e-01, 5.714286e-01
2011, 0.000000e+00, 1.000000e+00, 5.714286e-01
2012, 7.142857e-02, 1.000000e+00, 5.714286e-01
2013, 1.428571e-01, 1.000000e+00, 5.714286e-01
2014, 2.142857e-01, 1.000000e+00, 5.714286e-01
2015, 2.857143e-01, 1.000000e+00, 5.714286e-01
2016, 3.571429e-01, 1.000000e+00, 5.714286e-01
2017, 4.285714e-01, 1.000000e+00, 5.714286e-01
2018, 5.000000e-01, 1.000000e+00, 5.714286e-01
2019, 5.714286e-01, 1.000000e+00, 5.714286e-01
2020, 6.428571e-01, 1.000000e+00, 5.714286e-01
2021, 7.142857e-01, 1.000000e+00, 5.714286e-01
2022, 7.857143e-01, 1.000000e+00, 5.714286e-01
2023, 8.571429e-01, 1.000000e+00, 5.714286e-01
2024, 9.285714e-01, 1.000000e+00, 5.714286e-01
2025, 1.000000e+00, 1.000000e+00, 5.714286e-01
2026, 0.000000e+00, 0.000000e+00, 6.428571e-01
2027, 7.142857e-02, 0.000000e+00, 6.428571e-01
2028, 1.428571e-01, 0.000000e+00, 6.428571e-01
2029, 2.142857e-01, 0.000000e+00, 6.428571e-01
2030, 2.857143e-01, 0.000000e+00, 6.428571e-01
2031, 3.571429e-01, 0.000000e+00, 6.428571e-01
2032, 4.285714e-01, 0.000000e+00, 6.428571e-01
2033, 5.000000e-01, 0.000000e+00, 6.428571e-01
2034, 5.714286e-01, 0.000000e+00, 6.428571e-01
2035, 6.428571e-01, 0.000000e+00, 6.428571e-01
2036, 7.142857e-01, 0.000000e+00, 6.428571e-01
2037, 7.857143e-01, 0.000000e+00, 6.428571e-01
2038, 8.571429e-01, 0.000000e+00, 6.428571e-01
2039, 9.285714e-01, 0.000000e+00, 6.428571e-01
2040, 1.000000e+00, 0.000000e+00, 6.428571e-01
2041, 0.000000e+00, 7.142857e-02, 6.428571e-01
2042, 7.142857e-02, 7.142857e-02, 6.428571e-01
2043, 1.428571e-01, 7.142857e-02, 6.428571e-01
2044, 2.142857e-01, 7.142857e-02, 6.428571e-01
2045, 2.857143e-01, 7.142857e-02, 6.428571e-01
2046, 3.571429e-01, 7.142857e-02, 6.428571e-01
2047, 4.285714e-01, 7.142857e-02, 6.428571e-01
2048, 5.000000e-01, 7.142857e-02, 6.428571e-01
2049, 5.714286e-01, 7.142857e-02, 6.428571e-01
2050, 6.428571e-01, 7.142857e-02, 6.428571e-01
2051, 7.142857e-01, 7.142857e-02, 6.428571e-01
2052, 7.857143e-01, 7.142857e-02, 6.428571e-01
2053, 8.571429e-01, 7.142857e-02, 6.428571e-01
2054, 9.285714e-01, 7.142857e-02, 6.428571e-01
2055, 1.000000e+00, 7.142857e-02, 6.428571e-01
2056, 0.000000e+00, 1.428571e-01, 6.428571e-01
2057, 7.142857e-02, 1.428571e-01, 6.428571e-01
2058, 1.428571e-01, 1.428571e-01, 6.428571e-01
2059, 2.142857e-01, 1.428571e-01, 6.428571e-01
2060, 2.857143e-01, 1.428571e-01, 6.428571e-01
2061, 3.571429e-01, 1.428571e-01, 6.428571e-01
2062, 4.285714e-01, 1.428571e-01, 6.428571e-01
2063, 5.000000e-01, 1.428571e-01, 6.428571e-01
2064, 5.714286e-01, 1.428571e-01, 6.428571e-01
2065, 6.428571e-01, 1.428571e-01, 6.428571e-01
2066, 7.142857e-01, 1.428571e-01, 6.428571e-01
2067, 7.857143e-01, 1.428571e-01, 6.428571e-01
2068, 8.571429e-01, 1.428571e-01, 6.428571e-01
2069, 9.285714e-01, 1.428571e-01, 6.428571e-01
2070, 1.000000e+00, 1.428571e-01, 6.428571e-01
2071, 0.000000e+00, 2.142857e-01, 6.428571e-01
2072, 7.142857e-02, 2.142857e-01, 6.428571e-01
2073, 1.428571e-01, 2.142857e-01, 6.428571e-01
2074, 2.142857e-01, 2.142857e-01, 6.428571e-01
2075, 2.857143e-01, 2.142857e-01, 6.428571e-01
2076, 3.571429e-01, 2.142857e-01, 6.428571e-01
2077, 4.285714e-01, 2.142857e-01, 6.428571e-01
2078, 5.000000e-01, 2.142857e-01, 6.428571e-01
2079, 5.714286e-01, 2.142857e-01, 6.428571e-01
2080, 6.428571e-01, 2.142857e-01, 6.428571e-01
2081, 7.142857e-01, 2.142857e-01, 6.428571e-01
2082, 7.857143e-01, 2.142857e-01, 6.428571e-01
2083, 8.571429e-01, 2.142857e-01, 6.428571e-01
2084, 9.285714e-01, 2.142857e-01, 6.428571e-01
2085, 1.000000e+00, 2.142857e-01, 6.428571e-01
2086, 0.000000e+00, 2.857143e-01, 6.428571e-01
2087, 7.142857e-02, 2.857143e-01, 6.428571e-01
2088, 1.428571e-01, 2.857143e-01, 6.428571e-01
2089, 2.142857e-01, 2.857143e-01, 6.428571e-01
2090, 2.857143e-01, 2.857143e-01, 6.428571e-01
2091, 3.571429e-01, 2.857143e-01, 6.428571e-01
2092, 4.285714e-01, 2.857143e-01, 6.428571e-01
2093, 5.000000e-01, 2.857143e-01, 6.428571e-01
2094, 5.714286e-01, 2.857143e-01, 6.428571e-01
2095, 6.428571e-01, 2.857143e-01, 6.428571e-01
2096, 7.142857e-01, 2.857143e-01, 6.428571e-01
2097, 7.857143e-01, 2.857143e-01, 6.428571e-01
2098, 8.571429e-01, 2.857143e-01, 6.428571e-01
2099, 9.285714e-01, 2.857143e-01, 6.428571e-01
2100, 1.000000e+00, 2.857143e-01, 6.428571e-01
2101, 0.000000e+00, 3.571429e-01, 6.428571e-01
2102, 7.142857e-02, 3.571429e-01, 6.428571e-01
2103, 1.428571e-01, 3.571429e-01, 6.428571e-01
2104, 2.142857e-01, 3.571429e-01, 6.428571e-01
2105, 2.857143e-01, 3.571429e-01, 6.428571e-01
2106, 3.571429e-01, 3.571429e-01, 6.428571e-01
2107, 4.285714e-01, 3.571429e-01, 6.428571e-01
2108, 5.000000e-01, 3.571429e-01, 6.428571e-01
2109, 5.714286e-01, 3.571429e-01, 6.428571e-01
2110, 6.428571e-01, 3.571429e-01, 6.428571e-01
2111, 7.142857e-01, 3.571429e-01, 6.428571e-01
2112, 7.857143e-01, 3.571429e-01, 6.428571e-01
2113, 8.571429e-01, 3.571429e-01, 6.428571e-01
2114, 9.285714e-01, 3.571429e-01, 6.428571e-01
2115, 1.000000e+00, 3.571429e-01, 6.428571e-01
2116, 0.000000e+00, 4.285714e-01, 6.428571e-01
2117, 7.142857e-02, 4.285714e-01, 6.428571e-01
2118, 1.428571e-01, 4.285714e-01, 6.428571e-01
2119, 2.142857e-01, 4.285714e-01, 6.428571e-01
2120, 2.857143e-01, 4.285714e-01, 6.428571e-01
2121, 3.571429e-01, 4.285714e-01, 6.428571e-01
2122, 4.285714e-01, 4.285714e-01, 6.428571e-01
2123, 5.000000e-01, 4.285714e-01, 6.428571e-01
2124, 5.714286e-01, 4.285714e-01, 6.428571e-01
2125, 6.428571e-01, 4.285714e-01, 6.428571e-01
2126, 7.142857e-01, 4.285714e-01, 6.428571e-01
2127, 7.857143e-01, 4.285714e-01, 6.428571e-01
2128, 8.571429e-01, 4.285714e-01, 6.428571e-01
2129, 9.285714e-01, 4.285714e-01, 6.428571e-01
2130, 1.000000e+00, 4.285714e-01, 6.428571e-01
2131, 0.000000e+00, 5.000000e-01, 6.428571e-01
2132, 7.142857e-02, 5.000000e-01, 6.428571e-01
2133, 1.428571e-01, 5.000000e-01, 6.428571e-01
2134, 2.142857e-01, 5.000000e-01, 6.428571e-01
2135, 2.857143e-01, 5.000000e-01, 6.428571e-01
2136, 3.571429e-01, 5.000000e-01, 6.428571e-01
2137, 4.285714e-01, 5.000000e-01, 6.428571e-01
2138, 5.000000e-01, 5.000000e-01, 6.428571e-01
2139, 5.714286e-01, 5.000000e-01, 6.428571e-01
2140, 6.428571e-01, 5.000000e-01, 6.428571e-01
2141, 7.142857e-01, 5.000000e-01, 6.428571e-01
2142, 7.857143e-01, 5.000000e-01, 6.428571e-01
2143, 8.571429e-01, 5.000000e-01, 6.428571e-01
2144, 9.285714e-01, 5.000000e-01, 6.428571e-01
2145, 1.000000e+00, 5.000000e-01, 6.428571e-01
2146, 0.000000e+00, 5.714286e-01, 6.428571e-01
2147, 7.142857e-02, 5.714286e-01, 6.428571e-01
2148, 1.428571e-01, 5.714286e-01, 6.428571e-01
2149, 2.142857e-01, 5.714286e-01, 6.428571e-01
2150, 2.857143e-01, 5.714286e-01, 6.428571e-01
2151, 3.571429e-01, 5.714286e-01, 6.428571e-01
2152, 4.285714e-01, 5.714286e-01, 6.428571e-01
2153, 5.000000e-01, 5.714286e-01, 6.428571e-01
2154, 5.714286e-01, 5.714286e-01, 6.428571e-01
2155, 6.428571e-01, 5.714286e-01, 6.428571e-01
2156, 7.142857e-01, 5.714286e-01, 6.428571e-01
2157, 7.857143e-01, 5.714286e-01, 6.428571e-01
2158, 8.571429e-01, 5.714286e-01, 6.428571e-01
2159, 9.285714e-01, 5.714286e-01, 6.428571e-01
2160, 1.000000e+00, 5.714286e-01, 6.428571e-01
2161, 0.000000e+00, 6.428571e-01, 6.428571e-01
2162, 7.142857e-02, 6.428571e-01, 6.428571e-01
2163, 1.428571e-01, 6.428571e-01, 6.428571e-01
2164, 2.142857e-01, 6.428571e-01, 6.428571e-01
2165, 2.857143e-01, 6.428571e-01, 6.428571e-01
2166, 3.571429e-01, 6.428571e-01, 6.428571e-01
2167, 4.285714e-01, 6.428571e-01, 6.428571e-01
2168, 5.000000e-01, 6.428571e-01, 6.428571e-01
2169, 5.714286e-01, 6.428571e-01, 6.428571e-01
2170, 6.428571e-01, 6.428571e-01, 6.428571e-01
2171, 7.142857e-01, 6.428571e-01, 6.428571e-01
2172, 7.857143e-01, 6.428571e-01, 6.428571e-01
2173, 8.571429e-01, 6.428571e-01, 6.428571e-01
2174, 9.285714e-01, 6.428571e-01, 6.428571e-01
2175, 1.000000e+00, 6.428571e-01, 6.428571e-01
2176, 0.000000e+00, 7.142857e-01, 6.428571e-01
2177, 7.142857e-02, 7.142857e-01, 6.428571e-01
2178, 1.428571e-01, 7.142857e-01, 6.428571e-01
2179, 2.142857e-01, 7.142857e-01, 6.428571e-01
2180, 2.857143e-01, 7.142857e-01, 6.428571e-01
2181, 3.571429e-01, 7.142857e-01, 6.428571e-01
2182, 4.285714e-01, 7.142857e-01, 6.428571e-01
2183, 5.000000e-01, 7.142857e-01, 6.428571e-01
2184, 5.714286e-01, 7.142857e-01, 6.428571e-01
2185, 6.428571e-01, 7.142857e-01, 6.428571e-01
2186, 7.142857e-01, 7.142857e-01, 6.428571e-01
2187, 7.857143e-01, 7.142857e-01, 6.428571e-01
2188, 8.571429e-01, 7.142857e-01, 6.428571e-01
2189, 9.285714e-01, 7.142857e-01, 6.428571e-01
2190, 1.000000e+00, 7.142857e-01, 6.428571e-01
2191, 0.000000e+00, 7.857143e-01, 6.428571e-01
2192, 7.142857e-02, 7.857143e-01, 6.428571e-01
2193, 1.428571e-01, 7.857143e-01, 6.428571e-01
2194, 2.142857e-01, 7.857143e-01, 6.428571e-01
2195, 2.857143e-01, 7.857143e-01, 6.428571e-01
2196, 3.571429e-01, 7.857143e-01, 6.428571e-01
2197, 4.285714e-01, 7.857143e-01, 6.428571e-01
2198, 5.000000e-01, 7.857143e-01, 6.428571e-01
2199, 5.714286e-01, 7.857143e-01, 6.428571e-01
2200, 6.428571e-01, 7.857143e-01, 6.428571e-01
2201, 7.142857e-01, 7.857143e-01, 6.428571e-01
2202, 7.857143e-01, 7.857143e-01, 6.428571e-01
2203, 8.571429e-01, 7.857143e-01, 6.428571e-01
2204, 9.285714e-01, 7.857143e-01, 6.428571e-01
2205, 1.000000e+00, 7.857143e-01, 6.428571e-01
2206, 0.000000e+00, 8.571429e-01, 6.428571e-01
2207, 7.142857e-02, 8.571429e-01, 6.428571e-01
2208, 1.428571e-01, 8.571429e-01, 6.428571e-01
2209, 2.142857e-01, 8.571429e-01, 6.428571e-01
2210, 2.857143e-01, 8.571429e-01, 6.428571e-01
2211, 3.571429e-01, 8.571429e-01, 6.428571e-01
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2308, 8.571429e-01, 2.142857e-01, 7.142857e-01
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2323, 8.571429e-01, 2.857143e-01, 7.142857e-01
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2329, 2.142857e-01, 3.571429e-01, 7.142857e-01
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2503, 8.571429e-01, 7.142857e-02, 7.857143e-01
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2509, 2.142857e-01, 1.428571e-01, 7.857143e-01
2510, 2.857143e-01, 1.428571e-01, 7.857143e-01
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2512, 4.285714e-01, 1.428571e-01, 7.857143e-01
2513, 5.000000e-01, 1.428571e-01, 7.857143e-01
2514, 5.714286e-01, 1.428571e-01, 7.857143e-01
2515, 6.428571e-01, 1.428571e-01, 7.857143e-01
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2518, 8.571429e-01, 1.428571e-01, 7.857143e-01
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2521, 0.000000e+00, 2.142857e-01, 7.857143e-01
2522, 7.142857e-02, 2.142857e-01, 7.857143e-01
2523, 1.428571e-01, 2.142857e-01, 7.857143e-01
2524, 2.142857e-01, 2.142857e-01, 7.857143e-01
2525, 2.857143e-01, 2.142857e-01, 7.857143e-01
2526, 3.571429e-01, 2.142857e-01, 7.857143e-01
2527, 4.285714e-01, 2.142857e-01, 7.857143e-01
2528, 5.000000e-01, 2.142857e-01, 7.857143e-01
2529, 5.714286e-01, 2.142857e-01, 7.857143e-01
2530, 6.428571e-01, 2.142857e-01, 7.857143e-01
2531, 7.142857e-01, 2.142857e-01, 7.857143e-01
2532, 7.857143e-01, 2.142857e-01, 7.857143e-01
2533, 8.571429e-01, 2.142857e-01, 7.857143e-01
2534, 9.285714e-01, 2.142857e-01, 7.857143e-01
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2536, 0.000000e+00, 2.857143e-01, 7.857143e-01
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2538, 1.428571e-01, 2.857143e-01, 7.857143e-01
2539, 2.142857e-01, 2.857143e-01, 7.857143e-01
2540, 2.857143e-01, 2.857143e-01, 7.857143e-01
2541, 3.571429e-01, 2.857143e-01, 7.857143e-01
2542, 4.285714e-01, 2.857143e-01, 7.857143e-01
2543, 5.000000e-01, 2.857143e-01, 7.857143e-01
2544, 5.714286e-01, 2.857143e-01, 7.857143e-01
2545, 6.428571e-01, 2.857143e-01, 7.857143e-01
2546, 7.142857e-01, 2.857143e-01, 7.857143e-01
2547, 7.857143e-01, 2.857143e-01, 7.857143e-01
2548, 8.571429e-01, 2.857143e-01, 7.857143e-01
2549, 9.285714e-01, 2.857143e-01, 7.857143e-01
2550, 1.000000e+00, 2.857143e-01, 7.857143e-01
2551, 0.000000e+00, 3.571429e-01, 7.857143e-01
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2553, 1.428571e-01, 3.571429e-01, 7.857143e-01
2554, 2.142857e-01, 3.571429e-01, 7.857143e-01
2555, 2.857143e-01, 3.571429e-01, 7.857143e-01
2556, 3.571429e-01, 3.571429e-01, 7.857143e-01
2557, 4.285714e-01, 3.571429e-01, 7.857143e-01
2558, 5.000000e-01, 3.571429e-01, 7.857143e-01
2559, 5.714286e-01, 3.571429e-01, 7.857143e-01
2560, 6.428571e-01, 3.571429e-01, 7.857143e-01
2561, 7.142857e-01, 3.571429e-01, 7.857143e-01
2562, 7.857143e-01, 3.571429e-01, 7.857143e-01
2563, 8.571429e-01, 3.571429e-01, 7.857143e-01
2564, 9.285714e-01, 3.571429e-01, 7.857143e-01
2565, 1.000000e+00, 3.571429e-01, 7.857143e-01
2566, 0.000000e+00, 4.285714e-01, 7.857143e-01
2567, 7.142857e-02, 4.285714e-01, 7.857143e-01
2568, 1.428571e-01, 4.285714e-01, 7.857143e-01
2569, 2.142857e-01, 4.285714e-01, 7.857143e-01
2570, 2.857143e-01, 4.285714e-01, 7.857143e-01
2571, 3.571429e-01, 4.285714e-01, 7.857143e-01
2572, 4.285714e-01, 4.285714e-01, 7.857143e-01
2573, 5.000000e-01, 4.285714e-01, 7.857143e-01
2574, 5.714286e-01, 4.285714e-01, 7.857143e-01
2575, 6.428571e-01, 4.285714e-01, 7.857143e-01
2576, 7.142857e-01, 4.285714e-01, 7.857143e-01
2577, 7.857143e-01, 4.285714e-01, 7.857143e-01
2578, 8.571429e-01, 4.285714e-01, 7.857143e-01
2579, 9.285714e-01, 4.285714e-01, 7.857143e-01
2580, 1.000000e+00, 4.285714e-01, 7.857143e-01
2581, 0.000000e+00, 5.000000e-01, 7.857143e-01
2582, 7.142857e-02, 5.000000e-01, 7.857143e-01
2583, 1.428571e-01, 5.000000e-01, 7.857143e-01
2584, 2.142857e-01, 5.000000e-01, 7.857143e-01
2585, 2.857143e-01, 5.000000e-01, 7.857143e-01
2586, 3.571429e-01, 5.000000e-01, 7.857143e-01
2587, 4.285714e-01, 5.000000e-01, 7.857143e-01
2588, 5.000000e-01, 5.000000e-01, 7.857143e-01
2589, 5.714286e-01, 5.000000e-01, 7.857143e-01
2590, 6.428571e-01, 5.000000e-01, 7.857143e-01
2591, 7.142857e-01, 5.000000e-01, 7.857143e-01
2592, 7.857143e-01, 5.000000e-01, 7.857143e-01
2593, 8.571429e-01, 5.000000e-01, 7.857143e-01
2594, 9.285714e-01, 5.000000e-01, 7.857143e-01
2595, 1.000000e+00, 5.000000e-01, 7.857143e-01
2596, 0.000000e+00, 5.714286e-01, 7.857143e-01
2597, 7.142857e-02, 5.714286e-01, 7.857143e-01
2598, 1.428571e-01, 5.714286e-01, 7.857143e-01
2599, 2.142857e-01, 5.714286e-01, 7.857143e-01
2600, 2.857143e-01, 5.714286e-01, 7.857143e-01
2601, 3.571429e-01, 5.714286e-01, 7.857143e-01
2602, 4.285714e-01, 5.714286e-01, 7.857143e-01
2603, 5.000000e-01, 5.714286e-01, 7.857143e-01
2604, 5.714286e-01, 5.714286e-01, 7.857143e-01
2605, 6.428571e-01, 5.714286e-01, 7.857143e-01
2606, 7.142857e-01, 5.714286e-01, 7.857143e-01
2607, 7.857143e-01, 5.714286e-01, 7.857143e-01
2608, 8.571429e-01, 5.714286e-01, 7.857143e-01
2609, 9.285714e-01, 5.714286e-01, 7.857143e-01
2610, 1.000000e+00, 5.714286e-01, 7.857143e-01
2611, 0.000000e+00, 6.428571e-01, 7.857143e-01
2612, 7.142857e-02, 6.428571e-01, 7.857143e-01
2613, 1.428571e-01, 6.428571e-01, 7.857143e-01
2614, 2.142857e-01, 6.428571e-01, 7.857143e-01
2615, 2.857143e-01, 6.428571e-01, 7.857143e-01
2616, 3.571429e-01, 6.428571e-01, 7.857143e-01
2617, 4.285714e-01, 6.428571e-01, 7.857143e-01
2618, 5.000000e-01, 6.428571e-01, 7.857143e-01
2619, 5.714286e-01, 6.428571e-01, 7.857143e-01
2620, 6.428571e-01, 6.428571e-01, 7.857143e-01
2621, 7.142857e-01, 6.428571e-01, 7.857143e-01
2622, 7.857143e-01, 6.428571e-01, 7.857143e-01
2623, 8.571429e-01, 6.428571e-01, 7.857143e-01
2624, 9.285714e-01, 6.428571e-01, 7.857143e-01
2625, 1.000000e+00, 6.428571e-01, 7.857143e-01
2626, 0.000000e+00, 7.142857e-01, 7.857143e-01
2627, 7.142857e-02, 7.142857e-01, 7.857143e-01
2628, 1.428571e-01, 7.142857e-01, 7.857143e-01
2629, 2.142857e-01, 7.142857e-01, 7.857143e-01
2630, 2.857143e-01, 7.142857e-01, 7.857143e-01
2631, 3.571429e-01, 7.142857e-01, 7.857143e-01
2632, 4.285714e-01, 7.142857e-01, 7.857143e-01
2633, 5.000000e-01, 7.142857e-01, 7.857143e-01
2634, 5.714286e-01, 7.142857e-01, 7.857143e-01
2635, 6.428571e-01, 7.142857e-01, 7.857143e-01
2636, 7.142857e-01, 7.142857e-01, 7.857143e-01
2637, 7.857143e-01, 7.142857e-01, 7.857143e-01
2638, 8.571429e-01, 7.142857e-01, 7.857143e-01
2639, 9.285714e-01, 7.142857e-01, 7.857143e-01
2640, 1.000000e+00, 7.142857e-01, 7.857143e-01
2641, 0.000000e+00, 7.857143e-01, 7.857143e-01
2642, 7.142857e-02, 7.857143e-01, 7.857143e-01
2643, 1.428571e-01, 7.857143e-01, 7.857143e-01
2644, 2.142857e-01, 7.857143e-01, 7.857143e-01
2645, 2.857143e-01, 7.857143e-01, 7.857143e-01
2646, 3.571429e-01, 7.857143e-01, 7.857143e-01
2647, 4.285714e-01, 7.857143e-01, 7.857143e-01
2648, 5.000000e-01, 7.857143e-01, 7.857143e-01
2649, 5.714286e-01, 7.857143e-01, 7.857143e-01
2650, 6.428571e-01, 7.857143e-01, 7.857143e-01
2651, 7.142857e-01, 7.857143e-01, 7.857143e-01
2652, 7.857143e-01, 7.857143e-01, 7.857143e-01
2653, 8.571429e-01, 7.857143e-01, 7.857143e-01
2654, 9.285714e-01, 7.857143e-01, 7.857143e-01
2655, 1.000000e+00, 7.857143e-01, 7.857143e-01
2656, 0.000000e+00, 8.571429e-01, 7.857143e-01
2657, 7.142857e-02, 8.571429e-01, 7.857143e-01
2658, 1.428571e-01, 8.571429e-01, 7.857143e-01
2659, 2.142857e-01, 8.571429e-01, 7.857143e-01
2660, 2.857143e-01, 8.571429e-01, 7.857143e-01
2661, 3.571429e-01, 8.571429e-01, 7.857143e-01
2662, 4.285714e-01, 8.571429e-01, 7.857143e-01
2663, 5.000000e-01, 8.571429e-01, 7.857143e-01
2664, 5.714286e-01, 8.571429e-01, 7.857143e-01
2665, 6.428571e-01, 8.571429e-01, 7.857143e-01
2666, 7.142857e-01, 8.571429e-01, 7.857143e-01
2667, 7.857143e-01, 8.571429e-01, 7.857143e-01
2668, 8.571429e-01, 8.571429e-01, 7.857143e-01
2669, 9.285714e-01, 8.571429e-01, 7.857143e-01
2670, 1.000000e+00, 8.571429e-01, 7.857143e-01
2671, 0.000000e+00, 9.285714e-01, 7.857143e-01
2672, 7.142857e-02, 9.285714e-01, 7.857143e-01
2673, 1.428571e-01, 9.285714e-01, 7.857143e-01
2674, 2.142857e-01, 9.285714e-01, 7.857143e-01
2675, 2.857143e-01, 9.285714e-01, 7.857143e-01
2676, 3.571429e-01, 9.285714e-01, 7.857143e-01
2677, 4.285714e-01, 9.285714e-01, 7.857143e-01
2678, 5.000000e-01, 9.285714e-01, 7.857143e-01
2679, 5.714286e-01, 9.285714e-01, 7.857143e-01
2680, 6.428571e-01, 9.285714e-01, 7.857143e-01
2681, 7.142857e-01, 9.285714e-01, 7.857143e-01
2682, 7.857143e-01, 9.285714e-01, 7.857143e-01
2683, 8.571429e-01, 9.285714e-01, 7.857143e-01
2684, 9.285714e-01, 9.285714e-01, 7.857143e-01
2685, 1.000000e+00, 9.285714e-01, 7.857143e-01
2686, 0.000000e+00, 1.000000e+00, 7.857143e-01
2687, 7.142857e-02, 1.000000e+00, 7.857143e-01
2688, 1.428571e-01, 1.000000e+00, 7.857143e-01
2689, 2.142857e-01, 1.000000e+00, 7.857143e-01
2690, 2.857143e-01, 1.000000e+00, 7.857143e-01
2691, 3.571429e-01, 1.000000e+00, 7.857143e-01
2692, 4.285714e-01, 1.000000e+00, 7.857143e-01
2693, 5.000000e-01, 1.000000e+00, 7.857143e-01
2694, 5.714286e-01, 1.000000e+00, 7.857143e-01
2695, 6.428571e-01, 1.000000e+00, 7.857143e-01
2696, 7.142857e-01, 1.000000e+00, 7.857143e-01
2697, 7.857143e-01, 1.000000e+00, 7.857143e-01
2698, 8.571429e-01, 1.000000e+00, 7.857143e-01
2699, 9.285714e-01, 1.000000e+00, 7.857143e-01
2700, 1.000000e+00, 1.000000e+00, 7.857143e-01
2701, 0.000000e+00, 0.000000e+00, 8.571429e-01
2702, 7.142857e-02, 0.000000e+00, 8.571429e-01
2703, 1.428571e-01, 0.000000e+00, 8.571429e-01
2704, 2.142857e-01, 0.000000e+00, 8.571429e-01
2705, 2.857143e-01, 0.000000e+00, 8.571429e-01
2706, 3.571429e-01, 0.000000e+00, 8.571429e-01
2707, 4.285714e-01, 0.000000e+00, 8.571429e-01
2708, 5.000000e-01, 0.000000e+00, 8.571429e-01
2709, 5.714286e-01, 0.000000e+00, 8.571429e-01
2710, 6.428571e-01, 0.000000e+00, 8.571429e-01
2711, 7.142857e-01, 0.000000e+00, 8.571429e-01
2712, 7.857143e-01, 0.000000e+00, 8.571429e-01
2713, 8.571429e-01, 0.000000e+00, 8.571429e-01
2714, 9.285714e-01, 0.000000e+00, 8.571429e-01
2715, 1.000000e+00, 0.000000e+00, 8.571429e-01
2716, 0.000000e+00, 7.142857e-02, 8.571429e-01
2717, 7.142857e-02, 7.142857e-02, 8.571429e-01
2718, 1.428571e-01, 7.142857e-02, 8.571429e-01
2719, 2.142857e-01, 7.142857e-02, 8.571429e-01
2720, 2.857143e-01, 7.142857e-02, 8.571429e-01
2721, 3.571429e-01, 7.142857e-02, 8.571429e-01
2722, 4.285714e-01, 7.142857e-02, 8.571429e-01
2723, 5.000000e-01, 7.142857e-02, 8.571429e-01
2724, 5.714286e-01, 7.142857e-02, 8.571429e-01
2725, 6.428571e-01, 7.142857e-02, 8.571429e-01
2726, 7.142857e-01, 7.142857e-02, 8.571429e-01
2727, 7.857143e-01, 7.142857e-02, 8.571429e-01
2728, 8.571429e-01, 7.142857e-02, 8.571429e-01
2729, 9.285714e-01, 7.142857e-02, 8.571429e-01
2730, 1.000000e+00, 7.142857e-02, 8.571429e-01
2731, 0.000000e+00, 1.428571e-01, 8.571429e-01
2732, 7.142857e-02, 1.428571e-01, 8.571429e-01
2733, 1.428571e-01, 1.428571e-01, 8.571429e-01
2734, 2.142857e-01, 1.428571e-01, 8.571429e-01
2735, 2.857143e-01, 1.428571e-01, 8.571429e-01
2736, 3.571429e-01, 1.428571e-01, 8.571429e-01
2737, 4.285714e-01, 1.428571e-01, 8.571429e-01
2738, 5.000000e-01, 1.428571e-01, 8.571429e-01
2739, 5.714286e-01, 1.428571e-01, 8.571429e-01
2740, 6.428571e-01, 1.428571e-01, 8.571429e-01
2741, 7.142857e-01, 1.428571e-01, 8.571429e-01
2742, 7.857143e-01, 1.428571e-01, 8.571429e-01
2743, 8.571429e-01, 1.428571e-01, 8.571429e-01
2744, 9.285714e-01, 1.428571e-01, 8.571429e-01
2745, 1.000000e+00, 1.428571e-01, 8.571429e-01
2746, 0.000000e+00, 2.142857e-01, 8.571429e-01
2747, 7.142857e-02, 2.142857e-01, 8.571429e-01
2748, 1.428571e-01, 2.142857e-01, 8.571429e-01
2749, 2.142857e-01, 2.142857e-01, 8.571429e-01
2750, 2.857143e-01, 2.142857e-01, 8.571429e-01
2751, 3.571429e-01, 2.142857e-01, 8.571429e-01
2752, 4.285714e-01, 2.142857e-01, 8.571429e-01
2753, 5.000000e-01, 2.142857e-01, 8.571429e-01
2754, 5.714286e-01, 2.142857e-01, 8.571429e-01
2755, 6.428571e-01, 2.142857e-01, 8.571429e-01
2756, 7.142857e-01, 2.142857e-01, 8.571429e-01
2757, 7.857143e-01, 2.142857e-01, 8.571429e-01
2758, 8.571429e-01, 2.142857e-01, 8.571429e-01
2759, 9.285714e-01, 2.142857e-01, 8.571429e-01
2760, 1.000000e+00, 2.142857e-01, 8.571429e-01
2761, 0.000000e+00, 2.857143e-01, 8.571429e-01
2762, 7.142857e-02, 2.857143e-01, 8.571429e-01
2763, 1.428571e-01, 2.857143e-01, 8.571429e-01
2764, 2.142857e-01, 2.857143e-01, 8.571429e-01
2765, 2.857143e-01, 2.857143e-01, 8.571429e-01
2766, 3.571429e-01, 2.857143e-01, 8.571429e-01
2767, 4.285714e-01, 2.857143e-01, 8.571429e-01
2768, 5.000000e-01, 2.857143e-01, 8.571429e-01
2769, 5.714286e-01, 2.857143e-01, 8.571429e-01
2770, 6.428571e-01, 2.857143e-01, 8.571429e-01
2771, 7.142857e-01, 2.857143e-01, 8.571429e-01
2772, 7.857143e-01, 2.857143e-01, 8.571429e-01
2773, 8.571429e-01, 2.857143e-01, 8.571429e-01
2774, 9.285714e-01, 2.857143e-01, 8.571429e-01
2775, 1.000000e+00, 2.857143e-01, 8.571429e-01
2776, 0.000000e+00, 3.571429e-01, 8.571429e-01
2777, 7.142857e-02, 3.571429e-01, 8.571429e-01
2778, 1.428571e-01, 3.571429e-01, 8.571429e-01
2779, 2.142857e-01, 3.571429e-01, 8.571429e-01
2780, 2.857143e-01, 3.571429e-01, 8.571429e-01
2781, 3.571429e-01, 3.571429e-01, 8.571429e-01
2782, 4.285714e-01, 3.571429e-01, 8.571429e-01
2783, 5.000000e-01, 3.571429e-01, 8.571429e-01
2784, 5.714286e-01, 3.571429e-01, 8.571429e-01
2785, 6.428571e-01, 3.571429e-01, 8.571429e-01
2786, 7.142857e-01, 3.571429e-01, 8.571429e-01
2787, 7.857143e-01, 3.571429e-01, 8.571429e-01
2788, 8.571429e-01, 3.571429e-01, 8.571429e-01
2789, 9.285714e-01, 3.571429e-01, 8.571429e-01
2790, 1.000000e+00, 3.571429e-01, 8.571429e-01
2791, 0.000000e+00, 4.285714e-01, 8.571429e-01
2792, 7.142857e-02, 4.285714e-01, 8.571429e-01
2793, 1.428571e-01, 4.285714e-01, 8.571429e-01
2794, 2.142857e-01, 4.285714e-01, 8.571429e-01
2795, 2.857143e-01, 4.285714e-01, 8.571429e-01
2796, 3.571429e-01, 4.285714e-01, 8.571429e-01
2797, 4.285714e-01, 4.285714e-01, 8.571429e-01
2798, 5.000000e-01, 4.285714e-01, 8.571429e-01
2799, 5.714286e-01, 4.285714e-01, 8.571429e-01
2800, 6.428571e-01, 4.285714e-01, 8.571429e-01
2801, 7.142857e-01, 4.285714e-01, 8.571429e-01
2802, 7.857143e-01, 4.285714e-01, 8.571429e-01
2803, 8.571429e-01, 4.285714e-01, 8.571429e-01
2804, 9.285714e-01, 4.285714e-01, 8.571429e-01
2805, 1.000000e+00, 4.285714e-01, 8.571429e-01
2806, 0.000000e+00, 5.000000e-01, 8.571429e-01
2807, 7.142857e-02, 5.000000e-01, 8.571429e-01
2808, 1.428571e-01, 5.000000e-01, 8.571429e-01
2809, 2.142857e-01, 5.000000e-01, 8.571429e-01
2810, 2.857143e-01, 5.000000e-01, 8.571429e-01
2811, 3.571429e-01, 5.000000e-01, 8.571429e-01
2812, 4.285714e-01, 5.000000e-01, 8.571429e-01
2813, 5.000000e-01, 5.000000e-01, 8.571429e-01
2814, 5.714286e-01, 5.000000e-01, 8.571429e-01
2815, 6.428571e-01, 5.000000e-01, 8.571429e-01
2816, 7.142857e-01, 5.000000e-01, 8.571429e-01
2817, 7.857143e-01, 5.000000e-01, 8.571429e-01
2818, 8.571429e-01, 5.000000e-01, 8.571429e-01
2819, 9.285714e-01, 5.000000e-01, 8.571429e-01
2820, 1.000000e+00, 5.000000e-01, 8.571429e-01
2821, 0.000000e+00, 5.714286e-01, 8.571429e-01
2822, 7.142857e-02, 5.714286e-01, 8.571429e-01
2823, 1.428571e-01, 5.714286e-01, 8.571429e-01
2824, 2.142857e-01, 5.714286e-01, 8.571429e-01
2825, 2.857143e-01, 5.714286e-01, 8.571429e-01
2826, 3.571429e-01, 5.714286e-01, 8.571429e-01
2827, 4.285714e-01, 5.714286e-01, 8.571429e-01
2828, 5.000000e-01, 5.714286e-01, 8.571429e-01
2829, 5.714286e-01, 5.714286e-01, 8.571429e-01
2830, 6.428571e-01, 5.714286e-01, 8.571429e-01
2831, 7.142857e-01, 5.714286e-01, 8.571429e-01
2832, 7.857143e-01, 5.714286e-01, 8.571429e-01
2833, 8.571429e-01, 5.714286e-01, 8.571429e-01
2834, 9.285714e-01, 5.714286e-01, 8.571429e-01
2835, 1.000000e+00, 5.714286e-01, 8.571429e-01
2836, 0.000000e+00, 6.428571e-01, 8.571429e-01
2837, 7.142857e-02, 6.428571e-01, 8.571429e-01
2838, 1.428571e-01, 6.428571e-01, 8.571429e-01
2839, 2.142857e-01, 6.428571e-01, 8.571429e-01
2840, 2.857143e-01, 6.428571e-01, 8.571429e-01
2841, 3.571429e-01, 6.428571e-01, 8.571429e-01
2842, 4.285714e-01, 6.428571e-01, 8.571429e-01
2843, 5.000000e-01, 6.428571e-01, 8.571429e-01
2844, 5.714286e-01, 6.428571e-01, 8.571429e-01
2845, 6.428571e-01, 6.428571e-01, 8.571429e-01
2846, 7.142857e-01, 6.428571e-01, 8.571429e-01
2847, 7.857143e-01, 6.428571e-01, 8.571429e-01
2848, 8.571429e-01, 6.428571e-01, 8.571429e-01
2849, 9.285714e-01, 6.428571e-01, 8.571429e-01
2850, 1.000000e+00, 6.428571e-01, 8.571429e-01
2851, 0.000000e+00, 7.142857e-01, 8.571429e-01
2852, 7.142857e-02, 7.142857e-01, 8.571429e-01
2853, 1.428571e-01, 7.142857e-01, 8.571429e-01
2854, 2.142857e-01, 7.142857e-01, 8.571429e-01
2855, 2.857143e-01, 7.142857e-01, 8.571429e-01
2856, 3.571429e-01, 7.142857e-01, 8.571429e-01
2857, 4.285714e-01, 7.142857e-01, 8.571429e-01
2858, 5.000000e-01, 7.142857e-01, 8.571429e-01
2859, 5.714286e-01, 7.142857e-01, 8.571429e-01
2860, 6.428571e-01, 7.142857e-01, 8.571429e-01
2861, 7.142857e-01, 7.142857e-01, 8.571429e-01
2862, 7.857143e-01, 7.142857e-01, 8.571429e-01
2863, 8.571429e-01, 7.142857e-01, 8.571429e-01
2864, 9.285714e-01, 7.142857e-01, 8.571429e-01
2865, 1.000000e+00, 7.142857e-01, 8.571429e-01
2866, 0.000000e+00, 7.857143e-01, 8.571429e-01
2867, 7.142857e-02, 7.857143e-01, 8.571429e-01
2868, 1.428571e-01, 7.857143e-01, 8.571429e-01
2869, 2.142857e-01, 7.857143e-01, 8.571429e-01
2870, 2.857143e-01, 7.857143e-01, 8.571429e-01
2871, 3.571429e-01, 7.857143e-01, 8.571429e-01
2872, 4.285714e-01, 7.857143e-01, 8.571429e-01
2873, 5.000000e-01, 7.857143e-01, 8.571429e-01
2874, 5.714286e-01, 7.857143e-01, 8.571429e-01
2875, 6.428571e-01, 7.857143e-01, 8.571429e-01
2876, 7.142857e-01, 7.857143e-01, 8.571429e-01
2877, 7.857143e-01, 7.857143e-01, 8.571429e-01
2878, 8.571429e-01, 7.857143e-01, 8.571429e-01
2879, 9.285714e-01, 7.857143e-01, 8.571429e-01
2880, 1.000000e+00, 7.857143e-01, 8.571429e-01
2881, 0.000000e+00, 8.571429e-01, 8.571429e-01
2882, 7.142857e-02, 8.571429e-01, 8.571429e-01
2883, 1.428571e-01, 8.571429e-01, 8.571429e-01
2884, 2.142857e-01, 8.571429e-01, 8.571429e-01
2885, 2.857143e-01, 8.571429e-01, 8.571429e-01
2886, 3.571429e-01, 8.571429e-01, 8.571429e-01
2887, 4.285714e-01, 8.571429e-01, 8.571429e-01
2888, 5.000000e-01, 8.571429e-01, 8.571429e-01
2889, 5.714286e-01, 8.571429e-01, 8.571429e-01
2890, 6.428571e-01, 8.571429e-01, 8.571429e-01
2891, 7.142857e-01, 8.571429e-01, 8.571429e-01
2892, 7.857143e-01, 8.571429e-01, 8.571429e-01
2893, 8.571429e-01, 8.571429e-01, 8.571429e-01
2894, 9.285714e-01, 8.571429e-01, 8.571429e-01
2895, 1.000000e+00, 8.571429e-01, 8.571429e-01
2896, 0.000000e+00, 9.285714e-01, 8.571429e-01
2897, 7.142857e-02, 9.285714e-01, 8.571429e-01
2898, 1.428571e-01, 9.285714e-01, 8.571429e-01
2899, 2.142857e-01, 9.285714e-01, 8.571429e-01
2900, 2.857143e-01, 9.285714e-01, 8.571429e-01
2901, 3.571429e-01, 9.285714e-01, 8.571429e-01
2902, 4.285714e-01, 9.285714e-01, 8.571429e-01
2903, 5.000000e-01, 9.285714e-01, 8.571429e-01
2904, 5.714286e-01, 9.285714e-01, 8.571429e-01
2905, 6.428571e-01, 9.285714e-01, 8.571429e-01
2906, 7.142857e-01, 9.285714e-01, 8.571429e-01
2907, 7.857143e-01, 9.285714e-01, 8.571429e-01
2908, 8.571429e-01, 9.285714e-01, 8.571429e-01
2909, 9.285714e-01, 9.285714e-01, 8.571429e-01
2910, 1.000000e+00, 9.285714e-01, 8.571429e-01
2911, 0.000000e+00, 1.000000e+00, 8.571429e-01
2912, 7.142857e-02, 1.000000e+00, 8.571429e-01
2913, 1.428571e-01, 1.000000e+00, 8.571429e-01
2914, 2.142857e-01, 1.000000e+00, 8.571429e-01
2915, 2.857143e-01, 1.000000e+00, 8.571429e-01
2916, 3.571429e-01, 1.000000e+00, 8.571429e-01
2917, 4.285714e-01, 1.000000e+00, 8.571429e-01
2918, 5.000000e-01, 1.000000e+00, 8.571429e-01
2919, 5.714286e-01, 1.000000e+00, 8.571429e-01
2920, 6.428571e-01, 1.000000e+00, 8.571429e-01
2921, 7.142857e-01, 1.000000e+00, 8.571429e-01
2922, 7.857143e-01, 1.000000e+00, 8.571429e-01
2923, 8.571429e-01, 1.000000e+00, 8.571429e-01
2924, 9.285714e-01, 1.000000e+00, 8.571429e-01
2925, 1.000000e+00, 1.000000e+00, 8.571429e-01
2926, 0.000000e+00, 0.000000e+00, 9.285714e-01
2927, 7.142857e-02, 0.000000e+00, 9.285714e-01
2928, 1.428571e-01, 0.000000e+00, 9.285714e-01
2929, 2.142857e-01, 0.000000e+00, 9.285714e-01
2930, 2.857143e-01, 0.000000e+00, 9.285714e-01
2931, 3.571429e-01, 0.000000e+00, 9.285714e-01
2932, 4.285714e-01, 0.000000e+00, 9.285714e-01
2933, 5.000000e-01, 0.000000e+00, 9.285714e-01
2934, 5.714286e-01, 0.000000e+00, 9.285714e-01
2935, 6.428571e-01, 0.000000e+00, 9.285714e-01
2936, 7.142857e-01, 0.000000e+00, 9.285714e-01
2937, 7.857143e-01, 0.000000e+00, 9.285714e-01
2938, 8.571429e-01, 0.000000e+00, 9.285714e-01
2939, 9.285714e-01, 0.000000e+00, 9.285714e-01
2940, 1.000000e+00, 0.000000e+00, 9.285714e-01
2941, 0.000000e+00, 7.142857e-02, 9.285714e-01
2942, 7.142857e-02, 7.142857e-02, 9.285714e-01
2943, 1.428571e-01, 7.142857e-02, 9.285714e-01
2944, 2.142857e-01, 7.142857e-02, 9.285714e-01
2945, 2.857143e-01, 7.142857e-02, 9.285714e-01
2946, 3.571429e-01, 7.142857e-02, 9.285714e-01
2947, 4.285714e-01, 7.142857e-02, 9.285714e-01
2948, 5.000000e-01, 7.142857e-02, 9.285714e-01
2949, 5.714286e-01, 7.142857e-02, 9.285714e-01
2950, 6.428571e-01, 7.142857e-02, 9.285714e-01
2951, 7.142857e-01, 7.142857e-02, 9.285714e-01
2952, 7.857143e-01, 7.142857e-02, 9.285714e-01
2953, 8.571429e-01, 7.142857e-02, 9.285714e-01
2954, 9.285714e-01, 7.142857e-02, 9.285714e-01
2955, 1.000000e+00, 7.142857e-02, 9.285714e-01
2956, 0.000000e+00, 1.428571e-01, 9.285714e-01
2957, 7.142857e-02, 1.428571e-01, 9.285714e-01
2958, 1.428571e-01, 1.428571e-01, 9.285714e-01
2959, 2.142857e-01, 1.428571e-01, 9.285714e-01
2960, 2.857143e-01, 1.428571e-01, 9.285714e-01
2961, 3.571429e-01, 1.428571e-01, 9.285714e-01
2962, 4.285714e-01, 1.428571e-01, 9.285714e-01
2963, 5.000000e-01, 1.428571e-01, 9.285714e-01
2964, 5.714286e-01, 1.428571e-01, 9.285714e-01
2965, 6.428571e-01, 1.428571e-01, 9.285714e-01
2966, 7.142857e-01, 1.428571e-01, 9.285714e-01
2967, 7.857143e-01, 1.428571e-01, 9.285714e-01
2968, 8.571429e-01, 1.428571e-01, 9.285714e-01
2969, 9.285714e-01, 1.428571e-01, 9.285714e-01
2970, 1.000000e+00, 1.428571e-01, 9.285714e-01
2971, 0.000000e+00, 2.142857e-01, 9.285714e-01
2972, 7.142857e-02, 2.142857e-01, 9.285714e-01
2973, 1.428571e-01, 2.142857e-01, 9.285714e-01
2974, 2.142857e-01, 2.142857e-01, 9.285714e-01
2975, 2.857143e-01, 2.142857e-01, 9.285714e-01
2976, 3.571429e-01, 2.142857e-01, 9.285714e-01
2977, 4.285714e-01, 2.142857e-01, 9.285714e-01
2978, 5.000000e-01, 2.142857e-01, 9.285714e-01
2979, 5.714286e-01, 2.142857e-01, 9.285714e-01
2980, 6.428571e-01, 2.142857e-01, 9.285714e-01
2981, 7.142857e-01, 2.142857e-01, 9.285714e-01
2982, 7.857143e-01, 2.142857e-01, 9.285714e-01
2983, 8.571429e-01, 2.142857e-01, 9.285714e-01
2984, 9.285714e-01, 2.142857e-01, 9.285714e-01
2985, 1.000000e+00, 2.142857e-01, 9.285714e-01
2986, 0.000000e+00, 2.857143e-01, 9.285714e-01
2987, 7.142857e-02, 2.857143e-01, 9.285714e-01
2988, 1.428571e-01, 2.857143e-01, 9.285714e-01
2989, 2.142857e-01, 2.857143e-01, 9.285714e-01
2990, 2.857143e-01, 2.857143e-01, 9.285714e-01
2991, 3.571429e-01, 2.857143e-01, 9.285714e-01
2992, 4.285714e-01, 2.857143e-01, 9.285714e-01
2993, 5.000000e-01, 2.857143e-01, 9.285714e-01
2994, 5.714286e-01, 2.857143e-01, 9.285714e-01
2995, 6.428571e-01, 2.857143e-01, 9.285714e-01
2996, 7.142857e-01, 2.857143e-01, 9.285714e-01
2997, 7.857143e-01, 2.857143e-01, 9.285714e-01
2998, 8.571429e-01, 2.857143e-01, 9.285714e-01
2999, 9.285714e-01, 2.857143e-01, 9.285714e-01
3000, 1.000000e+00, 2.857143e-01, 9.285714e-01
3001, 0.000000e+00, 3.571429e-01, 9.285714e-01
3002, 7.142857e-02, 3.571429e-01, 9.285714e-01
3003, 1.428571e-01, 3.571429e-01, 9.285714e-01
3004, 2.142857e-01, 3.571429e-01, 9.285714e-01
3005, 2.857143e-01, 3.571429e-01, 9.285714e-01
3006, 3.571429e-01, 3.571429e-01, 9.285714e-01
3007, 4.285714e-01, 3.571429e-01, 9.285714e-01
3008, 5.000000e-01, 3.571429e-01, 9.285714e-01
3009, 5.714286e-01, 3.571429e-01, 9.285714e-01
3010, 6.428571e-01, 3.571429e-01, 9.285714e-01
3011, 7.142857e-01, 3.571429e-01, 9.285714e-01
3012, 7.857143e-01, 3.571429e-01, 9.285714e-01
3013, 8.571429e-01, 3.571429e-01, 9.285714e-01
3014, 9.285714e-01, 3.571429e-01, 9.285714e-01
3015, 1.000000e+00, 3.571429e-01, 9.285714e-01
3016, 0.000000e+00, 4.285714e-01, 9.285714e-01
3017, 7.142857e-02, 4.285714e-01, 9.285714e-01
3018, 1.428571e-01, 4.285714e-01, 9.285714e-01
3019, 2.142857e-01, 4.285714e-01, 9.285714e-01
3020, 2.857143e-01, 4.285714e-01, 9.285714e-01
3021, 3.571429e-01, 4.285714e-01, 9.285714e-01
3022, 4.285714e-01, 4.285714e-01, 9.285714e-01
3023, 5.000000e-01, 4.285714e-01, 9.285714e-01
3024, 5.714286e-01, 4.285714e-01, 9.285714e-01
3025, 6.428571e-01, 4.285714e-01, 9.285714e-01
3026, 7.142857e-01, 4.285714e-01, 9.285714e-01
3027, 7.857143e-01, 4.285714e-01, 9.285714e-01
3028, 8.571429e-01, 4.285714e-01, 9.285714e-01
3029, 9.285714e-01, 4.285714e-01, 9.285714e-01
3030, 1.000000e+00, 4.285714e-01, 9.285714e-01
3031, 0.000000e+00, 5.000000e-01, 9.285714e-01
3032, 7.142857e-02, 5.000000e-01, 9.285714e-01
3033, 1.428571e-01, 5.000000e-01, 9.285714e-01
3034, 2.142857e-01, 5.000000e-01, 9.285714e-01
3035, 2.857143e-01, 5.000000e-01, 9.285714e-01
3036, 3.571429e-01, 5.000000e-01, 9.285714e-01
3037, 4.285714e-01, 5.000000e-01, 9.285714e-01
3038, 5.000000e-01, 5.000000e-01, 9.285714e-01
3039, 5.714286e-01, 5.000000e-01, 9.285714e-01
3040, 6.428571e-01, 5.000000e-01, 9.285714e-01
3041, 7.142857e-01, 5.000000e-01, 9.285714e-01
3042, 7.857143e-01, 5.000000e-01, 9.285714e-01
3043, 8.571429e-01, 5.000000e-01, 9.285714e-01
3044, 9.285714e-01, 5.000000e-01, 9.285714e-01
3045, 1.000000e+00, 5.000000e-01, 9.285714e-01
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3057, 7.857143e-01, 5.714286e-01, 9.285714e-01
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3081, 3.571429e-01, 7.142857e-01, 9.285714e-01
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3083, 5.000000e-01, 7.142857e-01, 9.285714e-01
3084, 5.714286e-01, 7.142857e-01, 9.285714e-01
3085, 6.428571e-01, 7.142857e-01, 9.285714e-01
3086, 7.142857e-01, 7.142857e-01, 9.285714e-01
3087, 7.857143e-01, 7.142857e-01, 9.285714e-01
3088, 8.571429e-01, 7.142857e-01, 9.285714e-01
3089, 9.285714e-01, 7.142857e-01, 9.285714e-01
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3091, 0.000000e+00, 7.857143e-01, 9.285714e-01
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3094, 2.142857e-01, 7.857143e-01, 9.285714e-01
3095, 2.857143e-01, 7.857143e-01, 9.285714e-01
3096, 3.571429e-01, 7.857143e-01, 9.285714e-01
3097, 4.285714e-01, 7.857143e-01, 9.285714e-01
3098, 5.000000e-01, 7.857143e-01, 9.285714e-01
3099, 5.714286e-01, 7.857143e-01, 9.285714e-01
3100, 6.428571e-01, 7.857143e-01, 9.285714e-01
3101, 7.142857e-01, 7.857143e-01, 9.285714e-01
3102, 7.857143e-01, 7.857143e-01, 9.285714e-01
3103, 8.571429e-01, 7.857143e-01, 9.285714e-01
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3106, 0.000000e+00, 8.571429e-01, 9.285714e-01
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3108, 1.428571e-01, 8.571429e-01, 9.285714e-01
3109, 2.142857e-01, 8.571429e-01, 9.285714e-01
3110, 2.857143e-01, 8.571429e-01, 9.285714e-01
3111, 3.571429e-01, 8.571429e-01, 9.285714e-01
3112, 4.285714e-01, 8.571429e-01, 9.285714e-01
3113, 5.000000e-01, 8.571429e-01, 9.285714e-01
3114, 5.714286e-01, 8.571429e-01, 9.285714e-01
3115, 6.428571e-01, 8.571429e-01, 9.285714e-01
3116, 7.142857e-01, 8.571429e-01, 9.285714e-01
3117, 7.857143e-01, 8.571429e-01, 9.285714e-01
3118, 8.571429e-01, 8.571429e-01, 9.285714e-01
3119, 9.285714e-01, 8.571429e-01, 9.285714e-01
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3121, 0.000000e+00, 9.285714e-01, 9.285714e-01
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3123, 1.428571e-01, 9.285714e-01, 9.285714e-01
3124, 2.142857e-01, 9.285714e-01, 9.285714e-01
3125, 2.857143e-01, 9.285714e-01, 9.285714e-01
3126, 3.571429e-01, 9.285714e-01, 9.285714e-01
3127, 4.285714e-01, 9.285714e-01, 9.285714e-01
3128, 5.000000e-01, 9.285714e-01, 9.285714e-01
3129, 5.714286e-01, 9.285714e-01, 9.285714e-01
3130, 6.428571e-01, 9.285714e-01, 9.285714e-01
3131, 7.142857e-01, 9.285714e-01, 9.285714e-01
3132, 7.857143e-01, 9.285714e-01, 9.285714e-01
3133, 8.571429e-01, 9.285714e-01, 9.285714e-01
3134, 9.285714e-01, 9.285714e-01, 9.285714e-01
3135, 1.000000e+00, 9.285714e-01, 9.285714e-01
3136, 0.000000e+00, 1.000000e+00, 9.285714e-01
3137, 7.142857e-02, 1.000000e+00, 9.285714e-01
3138, 1.428571e-01, 1.000000e+00, 9.285714e-01
3139, 2.142857e-01, 1.000000e+00, 9.285714e-01
3140, 2.857143e-01, 1.000000e+00, 9.285714e-01
3141, 3.571429e-01, 1.000000e+00, 9.285714e-01
3142, 4.285714e-01, 1.000000e+00, 9.285714e-01
3143, 5.000000e-01, 1.000000e+00, 9.285714e-01
3144, 5.714286e-01, 1.000000e+00, 9.285714e-01
3145, 6.428571e-01, 1.000000e+00, 9.285714e-01
3146, 7.142857e-01, 1.000000e+00, 9.285714e-01
3147, 7.857143e-01, 1.000000e+00, 9.285714e-01
3148, 8.571429e-01, 1.000000e+00, 9.285714e-01
3149, 9.285714e-01, 1.000000e+00, 9.285714e-01
3150, 1.000000e+00, 1.000000e+00, 9.285714e-01
3151, 0.000000e+00, 0.000000e+00, 1.000000e+00
3152, 7.142857e-02, 0.000000e+00, 1.000000e+00
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3155, 2.857143e-01, 0.000000e+00, 1.000000e+00
3156, 3.571429e-01, 0.000000e+00, 1.000000e+00
3157, 4.285714e-01, 0.000000e+00, 1.000000e+00
3158, 5.000000e-01, 0.000000e+00, 1.000000e+00
3159, 5.714286e-01, 0.000000e+00, 1.000000e+00
3160, 6.428571e-01, 0.000000e+00, 1.000000e+00
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3162, 7.857143e-01, 0.000000e+00, 1.000000e+00
3163, 8.571429e-01, 0.000000e+00, 1.000000e+00
3164, 9.285714e-01, 0.000000e+00, 1.000000e+00
3165, 1.000000e+00, 0.000000e+00, 1.000000e+00
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3167, 7.142857e-02, 7.142857e-02, 1.000000e+00
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3170, 2.857143e-01, 7.142857e-02, 1.000000e+00
3171, 3.571429e-01, 7.142857e-02, 1.000000e+00
3172, 4.285714e-01, 7.142857e-02, 1.000000e+00
3173, 5.000000e-01, 7.142857e-02, 1.000000e+00
3174, 5.714286e-01, 7.142857e-02, 1.000000e+00
3175, 6.428571e-01, 7.142857e-02, 1.000000e+00
3176, 7.142857e-01, 7.142857e-02, 1.000000e+00
3177, 7.857143e-01, 7.142857e-02, 1.000000e+00
3178, 8.571429e-01, 7.142857e-02, 1.000000e+00
3179, 9.285714e-01, 7.142857e-02, 1.000000e+00
3180, 1.000000e+00, 7.142857e-02, 1.000000e+00
3181, 0.000000e+00, 1.428571e-01, 1.000000e+00
3182, 7.142857e-02, 1.428571e-01, 1.000000e+00
3183, 1.428571e-01, 1.428571e-01, 1.000000e+00
3184, 2.142857e-01, 1.428571e-01, 1.000000e+00
3185, 2.857143e-01, 1.428571e-01, 1.000000e+00
3186, 3.571429e-01, 1.428571e-01, 1.000000e+00
3187, 4.285714e-01, 1.428571e-01, 1.000000e+00
3188, 5.000000e-01, 1.428571e-01, 1.000000e+00
3189, 5.714286e-01, 1.428571e-01, 1.000000e+00
3190, 6.428571e-01, 1.428571e-01, 1.000000e+00
3191, 7.142857e-01, 1.428571e-01, 1.000000e+00
3192, 7.857143e-01, 1.428571e-01, 1.000000e+00
3193, 8.571429e-01, 1.428571e-01, 1.000000e+00
3194, 9.285714e-01, 1.428571e-01, 1.000000e+00
3195, 1.000000e+00, 1.428571e-01, 1.000000e+00
3196, 0.000000e+00, 2.142857e-01, 1.000000e+00
3197, 7.142857e-02, 2.142857e-01, 1.000000e+00
3198, 1.428571e-01, 2.142857e-01, 1.000000e+00
3199, 2.142857e-01, 2.142857e-01, 1.000000e+00
3200, 2.857143e-01, 2.142857e-01, 1.000000e+00
3201, 3.571429e-01, 2.142857e-01, 1.000000e+00
3202, 4.285714e-01, 2.142857e-01, 1.000000e+00
3203, 5.000000e-01, 2.142857e-01, 1.000000e+00
3204, 5.714286e-01, 2.142857e-01, 1.000000e+00
3205, 6.428571e-01, 2.142857e-01, 1.000000e+00
3206, 7.142857e-01, 2.142857e-01, 1.000000e+00
3207, 7.857143e-01, 2.142857e-01, 1.000000e+00
3208, 8.571429e-01, 2.142857e-01, 1.000000e+00
3209, 9.285714e-01, 2.142857e-01, 1.000000e+00
3210, 1.000000e+00, 2.142857e-01, 1.000000e+00
3211, 0.000000e+00, 2.857143e-01, 1.000000e+00
3212, 7.142857e-02, 2.857143e-01, 1.000000e+00
3213, 1.428571e-01, 2.857143e-01, 1.000000e+00
3214, 2.142857e-01, 2.857143e-01, 1.000000e+00
3215, 2.857143e-01, 2.857143e-01, 1.000000e+00
3216, 3.571429e-01, 2.857143e-01, 1.000000e+00
3217, 4.285714e-01, 2.857143e-01, 1.000000e+00
3218, 5.000000e-01, 2.857143e-01, 1.000000e+00
3219, 5.714286e-01, 2.857143e-01, 1.000000e+00
3220, 6.428571e-01, 2.857143e-01, 1.000000e+00
3221, 7.142857e-01, 2.857143e-01, 1.000000e+00
3222, 7.857143e-01, 2.857143e-01, 1.000000e+00
3223, 8.571429e-01, 2.857143e-01, 1.000000e+00
3224, 9.285714e-01, 2.857143e-01, 1.000000e+00
3225, 1.000000e+00, 2.857143e-01, 1.000000e+00
3226, 0.000000e+00, 3.571429e-01, 1.000000e+00
3227, 7.142857e-02, 3.571429e-01, 1.000000e+00
3228, 1.428571e-01, 3.571429e-01, 1.000000e+00
3229, 2.142857e-01, 3.571429e-01, 1.000000e+00
3230, 2.857143e-01, 3.571429e-01, 1.000000e+00
3231, 3.571429e-01, 3.571429e-01, 1.000000e+00
3232, 4.285714e-01, 3.571429e-01, 1.000000e+00
3233, 5.000000e-01, 3.571429e-01, 1.000000e+00
3234, 5.714286e-01, 3.571429e-01, 1.000000e+00
3235, 6.428571e-01, 3.571429e-01, 1.000000e+00
3236, 7.142857e-01, 3.571429e-01, 1.000000e+00
3237, 7.857143e-01, 3.571429e-01, 1.000000e+00
3238, 8.571429e-01, 3.571429e-01, 1.000000e+00
3239, 9.285714e-01, 3.571429e-01, 1.000000e+00
3240, 1.000000e+00, 3.571429e-01, 1.000000e+00
3241, 0.000000e+00, 4.285714e-01, 1.000000e+00
3242, 7.142857e-02, 4.285714e-01, 1.000000e+00
3243, 1.428571e-01, 4.285714e-01, 1.000000e+00
3244, 2.142857e-01, 4.285714e-01, 1.000000e+00
3245, 2.857143e-01, 4.285714e-01, 1.000000e+00
3246, 3.571429e-01, 4.285714e-01, 1.000000e+00
3247, 4.285714e-01, 4.285714e-01, 1.000000e+00
3248, 5.000000e-01, 4.285714e-01, 1.000000e+00
3249, 5.714286e-01, 4.285714e-01, 1.000000e+00
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3251, 7.142857e-01, 4.285714e-01, 1.000000e+00
3252, 7.857143e-01, 4.285714e-01, 1.000000e+00
3253, 8.571429e-01, 4.285714e-01, 1.000000e+00
3254, 9.285714e-01, 4.285714e-01, 1.000000e+00
3255, 1.000000e+00, 4.285714e-01, 1.000000e+00
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3257, 7.142857e-02, 5.000000e-01, 1.000000e+00
3258, 1.428571e-01, 5.000000e-01, 1.000000e+00
3259, 2.142857e-01, 5.000000e-01, 1.000000e+00
3260, 2.857143e-01, 5.000000e-01, 1.000000e+00
3261, 3.571429e-01, 5.000000e-01, 1.000000e+00
3262, 4.285714e-01, 5.000000e-01, 1.000000e+00
3263, 5.000000e-01, 5.000000e-01, 1.000000e+00
3264, 5.714286e-01, 5.000000e-01, 1.000000e+00
3265, 6.428571e-01, 5.000000e-01, 1.000000e+00
3266, 7.142857e-01, 5.000000e-01, 1.000000e+00
3267, 7.857143e-01, 5.000000e-01, 1.000000e+00
3268, 8.571429e-01, 5.000000e-01, 1.000000e+00
3269, 9.285714e-01, 5.000000e-01, 1.000000e+00
3270, 1.000000e+00, 5.000000e-01, 1.000000e+00
3271, 0.000000e+00, 5.714286e-01, 1.000000e+00
3272, 7.142857e-02, 5.714286e-01, 1.000000e+00
3273, 1.428571e-01, 5.714286e-01, 1.000000e+00
3274, 2.142857e-01, 5.714286e-01, 1.000000e+00
3275, 2.857143e-01, 5.714286e-01, 1.000000e+00
3276, 3.571429e-01, 5.714286e-01, 1.000000e+00
3277, 4.285714e-01, 5.714286e-01, 1.000000e+00
3278, 5.000000e-01, 5.714286e-01, 1.000000e+00
3279, 5.714286e-01, 5.714286e-01, 1.000000e+00
3280, 6.428571e-01, 5.714286e-01, 1.000000e+00
3281, 7.142857e-01, 5.714286e-01, 1.000000e+00
3282, 7.857143e-01, 5.714286e-01, 1.000000e+00
3283, 8.571429e-01, 5.714286e-01, 1.000000e+00
3284, 9.285714e-01, 5.714286e-01, 1.000000e+00
3285, 1.000000e+00, 5.714286e-01, 1.000000e+00
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3287, 7.142857e-02, 6.428571e-01, 1.000000e+00
3288, 1.428571e-01, 6.428571e-01, 1.000000e+00
3289, 2.142857e-01, 6.428571e-01, 1.000000e+00
3290, 2.857143e-01, 6.428571e-01, 1.000000e+00
3291, 3.571429e-01, 6.428571e-01, 1.000000e+00
3292, 4.285714e-01, 6.428571e-01, 1.000000e+00
3293, 5.000000e-01, 6.428571e-01, 1.000000e+00
3294, 5.714286e-01, 6.428571e-01, 1.000000e+00
3295, 6.428571e-01, 6.428571e-01, 1.000000e+00
3296, 7.142857e-01, 6.428571e-01, 1.000000e+00
3297, 7.857143e-01, 6.428571e-01, 1.000000e+00
3298, 8.571429e-01, 6.428571e-01, 1.000000e+00
3299, 9.285714e-01, 6.428571e-01, 1.000000e+00
3300, 1.000000e+00, 6.428571e-01, 1.000000e+00
3301, 0.000000e+00, 7.142857e-01, 1.000000e+00
3302, 7.142857e-02, 7.142857e-01, 1.000000e+00
3303, 1.428571e-01, 7.142857e-01, 1.000000e+00
3304, 2.142857e-01, 7.142857e-01, 1.000000e+00
3305, 2.857143e-01, 7.142857e-01, 1.000000e+00
3306, 3.571429e-01, 7.142857e-01, 1.000000e+00
3307, 4.285714e-01, 7.142857e-01, 1.000000e+00
3308, 5.000000e-01, 7.142857e-01, 1.000000e+00
3309, 5.714286e-01, 7.142857e-01, 1.000000e+00
3310, 6.428571e-01, 7.142857e-01, 1.000000e+00
3311, 7.142857e-01, 7.142857e-01, 1.000000e+00
3312, 7.857143e-01, 7.142857e-01, 1.000000e+00
3313, 8.571429e-01, 7.142857e-01, 1.000000e+00
3314, 9.285714e-01, 7.142857e-01, 1.000000e+00
3315, 1.000000e+00, 7.142857e-01, 1.000000e+00
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3317, 7.142857e-02, 7.857143e-01, 1.000000e+00
3318, 1.428571e-01, 7.857143e-01, 1.000000e+00
3319, 2.142857e-01, 7.857143e-01, 1.000000e+00
3320, 2.857143e-01, 7.857143e-01, 1.000000e+00
3321, 3.571429e-01, 7.857143e-01, 1.000000e+00
3322, 4.285714e-01, 7.857143e-01, 1.000000e+00
3323, 5.000000e-01, 7.857143e-01, 1.000000e+00
3324, 5.714286e-01, 7.857143e-01, 1.000000e+00
3325, 6.428571e-01, 7.857143e-01, 1.000000e+00
3326, 7.142857e-01, 7.857143e-01, 1.000000e+00
3327, 7.857143e-01, 7.857143e-01, 1.000000e+00
3328, 8.571429e-01, 7.857143e-01, 1.000000e+00
3329, 9.285714e-01, 7.857143e-01, 1.000000e+00
3330, 1.000000e+00, 7.857143e-01, 1.000000e+00
3331, 0.000000e+00, 8.571429e-01, 1.000000e+00
3332, 7.142857e-02, 8.571429e-01, 1.000000e+00
3333, 1.428571e-01, 8.571429e-01, 1.000000e+00
3334, 2.142857e-01, 8.571429e-01, 1.000000e+00
3335, 2.857143e-01, 8.571429e-01, 1.000000e+00
3336, 3.571429e-01, 8.571429e-01, 1.000000e+00
3337, 4.285714e-01, 8.571429e-01, 1.000000e+00
3338, 5.000000e-01, 8.571429e-01, 1.000000e+00
3339, 5.714286e-01, 8.571429e-01, 1.000000e+00
3340, 6.428571e-01, 8.571429e-01, 1.000000e+00
3341, 7.142857e-01, 8.571429e-01, 1.000000e+00
3342, 7.857143e-01, 8.571429e-01, 1.000000e+00
3343, 8.571429e-01, 8.571429e-01, 1.000000e+00
3344, 9.285714e-01, 8.571429e-01, 1.000000e+00
3345, 1.000000e+00, 8.571429e-01, 1.000000e+00
3346, 0.000000e+00, 9.285714e-01, 1.000000e+00
3347, 7.142857e-02, 9.285714e-01, 1.000000e+00
3348, 1.428571e-01, 9.285714e-01, 1.000000e+00
3349, 2.142857e-01, 9.285714e-01, 1.000000e+00
3350, 2.857143e-01, 9.285714e-01, 1.000000e+00
3351, 3.571429e-01, 9.285714e-01, 1.000000e+00
3352, 4.285714e-01, 9.285714e-01, 1.000000e+00
3353, 5.000000e-01, 9.285714e-01, 1.000000e+00
3354, 5.714286e-01, 9.285714e-01, 1.000000e+00
3355, 6.428571e-01, 9.285714e-01, 1.000000e+00
3356, 7.142857e-01, 9.285714e-01, 1.000000e+00
3357, 7.857143e-01, 9.285714e-01, 1.000000e+00
3358, 8.571429e-01, 9.285714e-01, 1.000000e+00
3359, 9.285714e-01, 9.285714e-01, 1.000000e+00
3360, 1.000000e+00, 9.285714e-01, 1.000000e+00
3361, 0.000000e+00, 1.000000e+00, 1.000000e+00
3362, 7.142857e-02, 1.000000e+00, 1.000000e+00
3363, 1.428571e-01, 1.000000e+00, 1.000000e+00
3364, 2.142857e-01, 1.000000e+00, 1.000000e+00
3365, 2.857143e-01, 1.000000e+00, 1.000000e+00
3366, 3.571429e-01, 1.000000e+00, 1.000000e+00
3367, 4.285714e-01, 1.000000e+00, 1.000000e+00
3368, 5.000000e-01, 1.000000e+00, 1.000000e+00
3369, 5.714286e-01, 1.000000e+00, 1.000000e+00
3370, 6.428571e-01, 1.000000e+00, 1.000000e+00
3371, 7.142857e-01, 1.000000e+00, 1.000000e+00
3372, 7.857143e-01, 1.000000e+00, 1.000000e+00
3373, 8.571429e-01, 1.000000e+00, 1.000000e+00
3374, 9.285714e-01, 1.000000e+00, 1.000000e+00
3375, 1.000000e+00, 1.000000e+00, 1.000000e+00
*Element, type=C3D8
1,1,2,17,16,226,227,242,241
2,2,3,18,17,227,228,243,242
3,3,4,19,18,228,229,244,243
4,4,5,20,19,229,230,245,244
5,5,6,21,20,230,231,246,245
6,6,7,22,21,231,232,247,246
7,7,8,23,22,232,233,248,247
8,8,9,24,23,233,234,249,248
9,9,10,25,24,234,235,250,249
10,10,11,26,25,235,236,251,250
11,11,12,27,26,236,237,252,251
12,12,13,28,27,237,238,253,252
13,13,14,29,28,238,239,254,253
14,14,15,30,29,239,240,255,254
15,16,17,32,31,241,242,257,256
16,17,18,33,32,242,243,258,257
17,18,19,34,33,243,244,259,258
18,19,20,35,34,244,245,260,259
19,20,21,36,35,245,246,261,260
20,21,22,37,36,246,247,262,261
21,22,23,38,37,247,248,263,262
22,23,24,39,38,248,249,264,263
23,24,25,40,39,249,250,265,264
24,25,26,41,40,250,251,266,265
25,26,27,42,41,251,252,267,266
26,27,28,43,42,252,253,268,267
27,28,29,44,43,253,254,269,268
28,29,30,45,44,254,255,270,269
29,31,32,47,46,256,257,272,271
30,32,33,48,47,257,258,273,272
31,33,34,49,48,258,259,274,273
32,34,35,50,49,259,260,275,274
33,35,36,51,50,260,261,276,275
34,36,37,52,51,261,262,277,276
35,37,38,53,52,262,263,278,277
36,38,39,54,53,263,264,279,278
37,39,40,55,54,264,265,280,279
38,40,41,56,55,265,266,281,280
39,41,42,57,56,266,267,282,281
40,42,43,58,57,267,268,283,282
41,43,44,59,58,268,269,284,283
42,44,45,60,59,269,270,285,284
43,46,47,62,61,271,272,287,286
44,47,48,63,62,272,273,288,287
45,48,49,64,63,273,274,289,288
46,49,50,65,64,274,275,290,289
47,50,51,66,65,275,276,291,290
48,51,52,67,66,276,277,292,291
49,52,53,68,67,277,278,293,292
50,53,54,69,68,278,279,294,293
51,54,55,70,69,279,280,295,294
52,55,56,71,70,280,281,296,295
53,56,57,72,71,281,282,297,296
54,57,58,73,72,282,283,298,297
55,58,59,74,73,283,284,299,298
56,59,60,75,74,284,285,300,299
57,61,62,77,76,286,287,302,301
58,62,63,78,77,287,288,303,302
59,63,64,79,78,288,289,304,303
60,64,65,80,79,289,290,305,304
61,65,66,81,80,290,291,306,305
62,66,67,82,81,291,292,307,306
63,67,68,83,82,292,293,308,307
64,68,69,84,83,293,294,309,308
65,69,70,85,84,294,295,310,309
66,70,71,86,85,295,296,311,310
67,71,72,87,86,296,297,312,311
68,72,73,88,87,297,298,313,312
69,73,74,89,88,298,299,314,313
70,74,75,90,89,299,300,315,314
71,76,77,92,91,301,302,317,316
72,77,78,93,92,302,303,318,317
73,78,79,94,93,303,304,319,318
74,79,80,95,94,304,305,320,319
75,80,81,96,95,305,306,321,320
76,81,82,97,96,306,307,322,321
77,82,83,98,97,307,308,323,322
78,83,84,99,98,308,309,324,323
79,84,85,100,99,309,310,325,324
80,85,86,101,100,310,311,326,325
81,86,87,102,101,311,312,327,326
82,87,88,103,102,312,313,328,327
83,88,89,104,103,313,314,329,328
84,89,90,105,104,314,315,330,329
85,91,92,107,106,316,317,332,331
86,92,93,108,107,317,318,333,332
87,93,94,109,108,318,319,334,333
88,94,95,110,109,319,320,335,334
89,95,96,111,110,320,321,336,335
90,96,97,112,111,321,322,337,336
91,97,98,113,112,322,323,338,337
92,98,99,114,113,323,324,339,338
93,99,100,115,114,324,325,340,339
94,100,101,116,115,325,326,341,340
95,101,102,117,116,326,327,342,341
96,102,103,118,117,327,328,343,342
97,103,104,119,118,328,329,344,343
98,104,105,120,119,329,330,345,344
99,106,107,122,121,331,332,347,346
100,107,108,123,122,332,333,348,347
101,108,109,124,123,333,334,349,348
102,109,110,125,124,334,335,350,349
103,110,111,126,125,335,336,351,350
104,111,112,127,126,336,337,352,351
105,112,113,128,127,337,338,353,352
106,113,114,129,128,338,339,354,353
107,114,115,130,129,339,340,355,354
108,115,116,131,130,340,341,356,355
109,116,117,132,131,341,342,357,356
110,117,118,133,132,342,343,358,357
111,118,119,134,133,343,344,359,358
112,119,120,135,134,344,345,360,359
113,121,122,137,136,346,347,362,361
114,122,123,138,137,347,348,363,362
115,123,124,139,138,348,349,364,363
116,124,125,140,139,349,350,365,364
117,125,126,141,140,350,351,366,365
118,126,127,142,141,351,352,367,366
119,127,128,143,142,352,353,368,367
120,128,129,144,143,353,354,369,368
121,129,130,145,144,354,355,370,369
122,130,131,146,145,355,356,371,370
123,131,132,147,146,356,357,372,371
124,132,133,148,147,357,358,373,372
125,133,134,149,148,358,359,374,373
126,134,135,150,149,359,360,375,374
127,136,137,152,151,361,362,377,376
128,137,138,153,152,362,363,378,377
129,138,139,154,153,363,364,379,378
130,139,140,155,154,364,365,380,379
131,140,141,156,155,365,366,381,380
132,141,142,157,156,366,367,382,381
133,142,143,158,157,367,368,383,382
134,143,144,159,158,368,369,384,383
135,144,145,160,159,369,370,385,384
136,145,146,161,160,370,371,386,385
137,146,147,162,161,371,372,387,386
138,147,148,163,162,372,373,388,387
139,148,149,164,163,373,374,389,388
140,149,150,165,164,374,375,390,389
141,151,152,167,166,376,377,392,391
142,152,153,168,167,377,378,393,392
143,153,154,169,168,378,379,394,393
144,154,155,170,169,379,380,395,394
145,155,156,171,170,380,381,396,395
146,156,157,172,171,381,382,397,396
147,157,158,173,172,382,383,398,397
148,158,159,174,173,383,384,399,398
149,159,160,175,174,384,385,400,399
150,160,161,176,175,385,386,401,400
151,161,162,177,176,386,387,402,401
152,162,163,178,177,387,388,403,402
153,163,164,179,178,388,389,404,403
154,164,165,180,179,389,390,405,404
155,166,167,182,181,391,392,407,406
156,167,168,183,182,392,393,408,407
157,168,169,184,183,393,394,409,408
158,169,170,185,184,394,395,410,409
159,170,171,186,185,395,396,411,410
160,171,172,187,186,396,397,412,411
161,172,173,188,187,397,398,413,412
162,173,174,189,188,398,399,414,413
163,174,175,190,189,399,400,415,414
164,175,176,191,190,400,401,416,415
165,176,177,192,191,401,402,417,416
166,177,178,193,192,402,403,418,417
167,178,179,194,193,403,404,419,418
168,179,180,195,194,404,405,420,419
169,181,182,197,196,406,407,422,421
170,182,183,198,197,407,408,423,422
171,183,184,199,198,408,409,424,423
172,184,185,200,199,409,410,425,424
173,185,186,201,200,410,411,426,425
174,186,187,202,201,411,412,427,426
175,187,188,203,202,412,413,428,427
176,188,189,204,203,413,414,429,428
177,189,190,205,204,414,415,430,429
178,190,191,206,205,415,416,431,430
179,191,192,207,206,416,417,432,431
180,192,193,208,207,417,418,433,432
181,193,194,209,208,418,419,434,433
182,194,195,210,209,419,420,435,434
183,196,197,212,211,421,422,437,436
184,197,198,213,212,422,423,438,437
185,198,199,214,213,423,424,439,438
186,199,200,215,214,424,425,440,439
187,200,201,216,215,425,426,441,440
188,201,202,217,216,426,427,442,441
189,202,203,218,217,427,428,443,442
190,203,204,219,218,428,429,444,443
191,204,205,220,219,429,430,445,444
192,205,206,221,220,430,431,446,445
193,206,207,222,221,431,432,447,446
194,207,208,223,222,432,433,448,447
195,208,209,224,223,433,434,449,448
196,209,210,225,224,434,435,450,449
197,226,227,242,241,451,452,467,466
198,227,228,243,242,452,453,468,467
199,228,229,244,243,453,454,469,468
200,229,230,245,244,454,455,470,469
201,230,231,246,245,455,456,471,470
202,231,232,247,246,456,457,472,471
203,232,233,248,247,457,458,473,472
204,233,234,249,248,458,459,474,473
205,234,235,250,249,459,460,475,474
206,235,236,251,250,460,461,476,475
207,236,237,252,251,461,462,477,476
208,237,238,253,252,462,463,478,477
209,238,239,254,253,463,464,479,478
210,239,240,255,254,464,465,480,479
211,241,242,257,256,466,467,482,481
212,242,243,258,257,467,468,483,482
213,243,244,259,258,468,469,484,483
214,244,245,260,259,469,470,485,484
215,245,246,261,260,470,471,486,485
216,246,247,262,261,471,472,487,486
217,247,248,263,262,472,473,488,487
218,248,249,264,263,473,474,489,488
219,249,250,265,264,474,475,490,489
220,250,251,266,265,475,476,491,490
221,251,252,267,266,476,477,492,491
222,252,253,268,267,477,478,493,492
223,253,254,269,268,478,479,494,493
224,254,255,270,269,479,480,495,494
225,256,257,272,271,481,482,497,496
226,257,258,273,272,482,483,498,497
227,258,259,274,273,483,484,499,498
228,259,260,275,274,484,485,500,499
229,260,261,276,275,485,486,501,500
230,261,262,277,276,486,487,502,501
231,262,263,278,277,487,488,503,502
232,263,264,279,278,488,489,504,503
233,264,265,280,279,489,490,505,504
234,265,266,281,280,490,491,506,505
235,266,267,282,281,491,492,507,506
236,267,268,283,282,492,493,508,507
237,268,269,284,283,493,494,509,508
238,269,270,285,284,494,495,510,509
239,271,272,287,286,496,497,512,511
240,272,273,288,287,497,498,513,512
241,273,274,289,288,498,499,514,513
242,274,275,290,289,499,500,515,514
243,275,276,291,290,500,501,516,515
244,276,277,292,291,501,502,517,516
245,277,278,293,292,502,503,518,517
246,278,279,294,293,503,504,519,518
247,279,280,295,294,504,505,520,519
248,280,281,296,295,505,506,521,520
249,281,282,297,296,506,507,522,521
250,282,283,298,297,507,508,523,522
251,283,284,299,298,508,509,524,523
252,284,285,300,299,509,510,525,524
253,286,287,302,301,511,512,527,526
254,287,288,303,302,512,513,528,527
255,288,289,304,303,513,514,529,528
256,289,290,305,304,514,515,530,529
257,290,291,306,305,515,516,531,530
258,291,292,307,306,516,517,532,531
259,292,293,308,307,517,518,533,532
260,293,294,309,308,518,519,534,533
261,294,295,310,309,519,520,535,534
262,295,296,311,310,520,521,536,535
263,296,297,312,311,521,522,537,536
264,297,298,313,312,522,523,538,537
265,298,299,314,313,523,524,539,538
266,299,300,315,314,524,525,540,539
267,301,302,317,316,526,527,542,541
268,302,303,318,317,527,528,543,542
269,303,304,319,318,528,529,544,543
270,304,305,320,319,529,530,545,544
271,305,306,321,320,530,531,546,545
272,306,307,322,321,531,532,547,546
273,307,308,323,322,532,533,548,547
274,308,309,324,323,533,534,549,548
275,309,310,325,324,534,535,550,549
276,310,311,326,325,535,536,551,550
277,311,312,327,326,536,537,552,551
278,312,313,328,327,537,538,553,552
279,313,314,329,328,538,539,554,553
280,314,315,330,329,539,540,555,554
281,316,317,332,331,541,542,557,556
282,317,318,333,332,542,543,558,557
283,318,319,334,333,543,544,559,558
284,319,320,335,334,544,545,560,559
285,320,321,336,335,545,546,561,560
286,321,322,337,336,546,547,562,561
287,322,323,338,337,547,548,563,562
288,323,324,339,338,548,549,564,563
289,324,325,340,339,549,550,565,564
290,325,326,341,340,550,551,566,565
291,326,327,342,341,551,552,567,566
292,327,328,343,342,552,553,568,567
293,328,329,344,343,553,554,569,568
294,329,330,345,344,554,555,570,569
295,331,332,347,346,556,557,572,571
296,332,333,348,347,557,558,573,572
297,333,334,349,348,558,559,574,573
298,334,335,350,349,559,560,575,574
299,335,336,351,350,560,561,576,575
300,336,337,352,351,561,562,577,576
301,337,338,353,352,562,563,578,577
302,338,339,354,353,563,564,579,578
303,339,340,355,354,564,565,580,579
304,340,341,356,355,565,566,581,580
305,341,342,357,356,566,567,582,581
306,342,343,358,357,567,568,583,582
307,343,344,359,358,568,569,584,583
308,344,345,360,359,569,570,585,584
309,346,347,362,361,571,572,587,586
310,347,348,363,362,572,573,588,587
311,348,349,364,363,573,574,589,588
312,349,350,365,364,574,575,590,589
313,350,351,366,365,575,576,591,590
314,351,352,367,366,576,577,592,591
315,352,353,368,367,577,578,593,592
316,353,354,369,368,578,579,594,593
317,354,355,370,369,579,580,595,594
318,355,356,371,370,580,581,596,595
319,356,357,372,371,581,582,597,596
320,357,358,373,372,582,583,598,597
321,358,359,374,373,583,584,599,598
322,359,360,375,374,584,585,600,599
323,361,362,377,376,586,587,602,601
324,362,363,378,377,587,588,603,602
325,363,364,379,378,588,589,604,603
326,364,365,380,379,589,590,605,604
327,365,366,381,380,590,591,606,605
328,366,367,382,381,591,592,607,606
329,367,368,383,382,592,593,608,607
330,368,369,384,383,593,594,609,608
331,369,370,385,384,594,595,610,609
332,370,371,386,385,595,596,611,610
333,371,372,387,386,596,597,612,611
334,372,373,388,387,597,598,613,612
335,373,374,389,388,598,599,614,613
336,374,375,390,389,599,600,615,614
337,376,377,392,391,601,602,617,616
338,377,378,393,392,602,603,618,617
339,378,379,394,393,603,604,619,618
340,379,380,395,394,604,605,620,619
341,380,381,396,395,605,606,621,620
342,381,382,397,396,606,607,622,621
343,382,383,398,397,607,608,623,622
344,383,384,399,398,608,609,624,623
345,384,385,400,399,609,610,625,624
346,385,386,401,400,610,611,626,625
347,386,387,402,401,611,612,627,626
348,387,388,403,402,612,613,628,627
349,388,389,404,403,613,614,629,628
350,389,390,405,404,614,615,630,629
351,391,392,407,406,616,617,632,631
352,392,393,408,407,617,618,633,632
353,393,394,409,408,618,619,634,633
354,394,395,410,409,619,620,635,634
355,395,396,411,410,620,621,636,635
356,396,397,412,411,621,622,637,636
357,397,398,413,412,622,623,638,637
358,398,399,414,413,623,624,639,638
359,399,400,415,414,624,625,640,639
360,400,401,416,415,625,626,641,640
361,401,402,417,416,626,627,642,641
362,402,403,418,417,627,628,643,642
363,403,404,419,418,628,629,644,643
364,404,405,420,419,629,630,645,644
365,406,407,422,421,631,632,647,646
366,407,408,423,422,632,633,648,647
367,408,409,424,423,633,634,649,648
368,409,410,425,424,634,635,650,649
369,410,411,426,425,635,636,651,650
370,411,412,427,426,636,637,652,651
371,412,413,428,427,637,638,653,652
372,413,414,429,428,638,639,654,653
373,414,415,430,429,639,640,655,654
374,415,416,431,430,640,641,656,655
375,416,417,432,431,641,642,657,656
376,417,418,433,432,642,643,658,657
377,418,419,434,433,643,644,659,658
378,419,420,435,434,644,645,660,659
379,421,422,437,436,646,647,662,661
380,422,423,438,437,647,648,663,662
381,423,424,439,438,648,649,664,663
382,424,425,440,439,649,650,665,664
383,425,426,441,440,650,651,666,665
384,426,427,442,441,651,652,667,666
385,427,428,443,442,652,653,668,667
386,428,429,444,443,653,654,669,668
387,429,430,445,444,654,655,670,669
388,430,431,446,445,655,656,671,670
389,431,432,447,446,656,657,672,671
390,432,433,448,447,657,658,673,672
391,433,434,449,448,658,659,674,673
392,434,435,450,449,659,660,675,674
393,451,452,467,466,676,677,692,691
394,452,453,468,467,677,678,693,692
395,453,454,469,468,678,679,694,693
396,454,455,470,469,679,680,695,694
397,455,456,471,470,680,681,696,695
398,456,457,472,471,681,682,697,696
399,457,458,473,472,682,683,698,697
400,458,459,474,473,683,684,699,698
401,459,460,475,474,684,685,700,699
402,460,461,476,475,685,686,701,700
403,461,462,477,476,686,687,702,701
404,462,463,478,477,687,688,703,702
405,463,464,479,478,688,689,704,703
406,464,465,480,479,689,690,705,704
407,466,467,482,481,691,692,707,706
408,467,468,483,482,692,693,708,707
409,468,469,484,483,693,694,709,708
410,469,470,485,484,694,695,710,709
411,470,471,486,485,695,696,711,710
412,471,472,487,486,696,697,712,711
413,472,473,488,487,697,698,713,712
414,473,474,489,488,698,699,714,713
415,474,475,490,489,699,700,715,714
416,475,476,491,490,700,701,716,715
417,476,477,492,491,701,702,717,716
418,477,478,493,492,702,703,718,717
419,478,479,494,493,703,704,719,718
420,479,480,495,494,704,705,720,719
421,481,482,497,496,706,707,722,721
422,482,483,498,497,707,708,723,722
423,483,484,499,498,708,709,724,723
424,484,485,500,499,709,710,725,724
425,485,486,501,500,710,711,726,725
426,486,487,502,501,711,712,727,726
427,487,488,503,502,712,713,728,727
428,488,489,504,503,713,714,729,728
429,489,490,505,504,714,715,730,729
430,490,491,506,505,715,716,731,730
431,491,492,507,506,716,717,732,731
432,492,493,508,507,717,718,733,732
433,493,494,509,508,718,719,734,733
434,494,495,510,509,719,720,735,734
435,496,497,512,511,721,722,737,736
436,497,498,513,512,722,723,738,737
437,498,499,514,513,723,724,739,738
438,499,500,515,514,724,725,740,739
439,500,501,516,515,725,726,741,740
440,501,502,517,516,726,727,742,741
441,502,503,518,517,727,728,743,742
442,503,504,519,518,728,729,744,743
443,504,505,520,519,729,730,745,744
444,505,506,521,520,730,731,746,745
445,506,507,522,521,731,732,747,746
446,507,508,523,522,732,733,748,747
447,508,509,524,523,733,734,749,748
448,509,510,525,524,734,735,750,749
449,511,512,527,526,736,737,752,751
450,512,513,528,527,737,738,753,752
451,513,514,529,528,738,739,754,753
452,514,515,530,529,739,740,755,754
453,515,516,531,530,740,741,756,755
454,516,517,532,531,741,742,757,756
455,517,518,533,532,742,743,758,757
456,518,519,534,533,743,744,759,758
457,519,520,535,534,744,745,760,759
458,520,521,536,535,745,746,761,760
459,521,522,537,536,746,747,762,761
460,522,523,538,537,747,748,763,762
461,523,524,539,538,748,749,764,763
462,524,525,540,539,749,750,765,764
463,526,527,542,541,751,752,767,766
464,527,528,543,542,752,753,768,767
465,528,529,544,543,753,754,769,768
466,529,530,545,544,754,755,770,769
467,530,531,546,545,755,756,771,770
468,531,532,547,546,756,757,772,771
469,532,533,548,547,757,758,773,772
470,533,534,549,548,758,759,774,773
471,534,535,550,549,759,760,775,774
472,535,536,551,550,760,761,776,775
473,536,537,552,551,761,762,777,776
474,537,538,553,552,762,763,778,777
475,538,539,554,553,763,764,779,778
476,539,540,555,554,764,765,780,779
477,541,542,557,556,766,767,782,781
478,542,543,558,557,767,768,783,782
479,543,544,559,558,768,769,784,783
480,544,545,560,559,769,770,785,784
481,545,546,561,560,770,771,786,785
482,546,547,562,561,771,772,787,786
483,547,548,563,562,772,773,788,787
484,548,549,564,563,773,774,789,788
485,549,550,565,564,774,775,790,789
486,550,551,566,565,775,776,791,790
487,551,552,567,566,776,777,792,791
488,552,553,568,567,777,778,793,792
489,553,554,569,568,778,779,794,793
490,554,555,570,569,779,780,795,794
491,556,557,572,571,781,782,797,796
492,557,558,573,572,782,783,798,797
493,558,559,574,573,783,784,799,798
494,559,560,575,574,784,785,800,799
495,560,561,576,575,785,786,801,800
496,561,562,577,576,786,787,802,801
497,562,563,578,577,787,788,803,802
498,563,564,579,578,788,789,804,803
499,564,565,580,579,789,790,805,804
500,565,566,581,580,790,791,806,805
501,566,567,582,581,791,792,807,806
502,567,568,583,582,792,793,808,807
503,568,569,584,583,793,794,809,808
504,569,570,585,584,794,795,810,809
505,571,572,587,586,796,797,812,811
506,572,573,588,587,797,798,813,812
507,573,574,589,588,798,799,814,813
508,574,575,590,589,799,800,815,814
509,575,576,591,590,800,801,816,815
510,576,577,592,591,801,802,817,816
511,577,578,593,592,802,803,818,817
512,578,579,594,593,803,804,819,818
513,579,580,595,594,804,805,820,819
514,580,581,596,595,805,806,821,820
515,581,582,597,596,806,807,822,821
516,582,583,598,597,807,808,823,822
517,583,584,599,598,808,809,824,823
518,584,585,600,599,809,810,825,824
519,586,587,602,601,811,812,827,826
520,587,588,603,602,812,813,828,827
521,588,589,604,603,813,814,829,828
522,589,590,605,604,814,815,830,829
523,590,591,606,605,815,816,831,830
524,591,592,607,606,816,817,832,831
525,592,593,608,607,817,818,833,832
526,593,594,609,608,818,819,834,833
527,594,595,610,609,819,820,835,834
528,595,596,611,610,820,821,836,835
529,596,597,612,611,821,822,837,836
530,597,598,613,612,822,823,838,837
531,598,599,614,613,823,824,839,838
532,599,600,615,614,824,825,840,839
533,601,602,617,616,826,827,842,841
534,602,603,618,617,827,828,843,842
535,603,604,619,618,828,829,844,843
536,604,605,620,619,829,830,845,844
537,605,606,621,620,830,831,846,845
538,606,607,622,621,831,832,847,846
539,607,608,623,622,832,833,848,847
540,608,609,624,623,833,834,849,848
541,609,610,625,624,834,835,850,849
542,610,611,626,625,835,836,851,850
543,611,612,627,626,836,837,852,851
544,612,613,628,627,837,838,853,852
545,613,614,629,628,838,839,854,853
546,614,615,630,629,839,840,855,854
547,616,617,632,631,841,842,857,856
548,617,618,633,632,842,843,858,857
549,618,619,634,633,843,844,859,858
550,619,620,635,634,844,845,860,859
551,620,621,636,635,845,846,861,860
552,621,622,637,636,846,847,862,861
553,622,623,638,637,847,848,863,862
554,623,624,639,638,848,849,864,863
555,624,625,640,639,849,850,865,864
556,625,626,641,640,850,851,866,865
557,626,627,642,641,851,852,867,866
558,627,628,643,642,852,853,868,867
559,628,629,644,643,853,854,869,868
560,629,630,645,644,854,855,870,869
561,631,632,647,646,856,857,872,871
562,632,633,648,647,857,858,873,872
563,633,634,649,648,858,859,874,873
564,634,635,650,649,859,860,875,874
565,635,636,651,650,860,861,876,875
566,636,637,652,651,861,862,877,876
567,637,638,653,652,862,863,878,877
568,638,639,654,653,863,864,879,878
569,639,640,655,654,864,865,880,879
570,640,641,656,655,865,866,881,880
571,641,642,657,656,866,867,882,881
572,642,643,658,657,867,868,883,882
573,643,644,659,658,868,869,884,883
574,644,645,660,659,869,870,885,884
575,646,647,662,661,871,872,887,886
576,647,648,663,662,872,873,888,887
577,648,649,664,663,873,874,889,888
578,649,650,665,664,874,875,890,889
579,650,651,666,665,875,876,891,890
580,651,652,667,666,876,877,892,891
581,652,653,668,667,877,878,893,892
582,653,654,669,668,878,879,894,893
583,654,655,670,669,879,880,895,894
584,655,656,671,670,880,881,896,895
585,656,657,672,671,881,882,897,896
586,657,658,673,672,882,883,898,897
587,658,659,674,673,883,884,899,898
588,659,660,675,674,884,885,900,899
589,676,677,692,691,901,902,917,916
590,677,678,693,692,902,903,918,917
591,678,679,694,693,903,904,919,918
592,679,680,695,694,904,905,920,919
593,680,681,696,695,905,906,921,920
594,681,682,697,696,906,907,922,921
595,682,683,698,697,907,908,923,922
596,683,684,699,698,908,909,924,923
597,684,685,700,699,909,910,925,924
598,685,686,701,700,910,911,926,925
599,686,687,702,701,911,912,927,926
600,687,688,703,702,912,913,928,927
601,688,689,704,703,913,914,929,928
602,689,690,705,704,914,915,930,929
603,691,692,707,706,916,917,932,931
604,692,693,708,707,917,918,933,932
605,693,694,709,708,918,919,934,933
606,694,695,710,709,919,920,935,934
607,695,696,711,710,920,921,936,935
608,696,697,712,711,921,922,937,936
609,697,698,713,712,922,923,938,937
610,698,699,714,713,923,924,939,938
611,699,700,715,714,924,925,940,939
612,700,701,716,715,925,926,941,940
613,701,702,717,716,926,927,942,941
614,702,703,718,717,927,928,943,942
615,703,704,719,718,928,929,944,943
616,704,705,720,719,929,930,945,944
617,706,707,722,721,931,932,947,946
618,707,708,723,722,932,933,948,947
619,708,709,724,723,933,934,949,948
620,709,710,725,724,934,935,950,949
621,710,711,726,725,935,936,951,950
622,711,712,727,726,936,937,952,951
623,712,713,728,727,937,938,953,952
624,713,714,729,728,938,939,954,953
625,714,715,730,729,939,940,955,954
626,715,716,731,730,940,941,956,955
627,716,717,732,731,941,942,957,956
628,717,718,733,732,942,943,958,957
629,718,719,734,733,943,944,959,958
630,719,720,735,734,944,945,960,959
631,721,722,737,736,946,947,962,961
632,722,723,738,737,947,948,963,962
633,723,724,739,738,948,949,964,963
634,724,725,740,739,949,950,965,964
635,725,726,741,740,950,951,966,965
636,726,727,742,741,951,952,967,966
637,727,728,743,742,952,953,968,967
638,728,729,744,743,953,954,969,968
639,729,730,745,744,954,955,970,969
640,730,731,746,745,955,956,971,970
641,731,732,747,746,956,957,972,971
642,732,733,748,747,957,958,973,972
643,733,734,749,748,958,959,974,973
644,734,735,750,749,959,960,975,974
645,736,737,752,751,961,962,977,976
646,737,738,753,752,962,963,978,977
647,738,739,754,753,963,964,979,978
648,739,740,755,754,964,965,980,979
649,740,741,756,755,965,966,981,980
650,741,742,757,756,966,967,982,981
651,742,743,758,757,967,968,983,982
652,743,744,759,758,968,969,984,983
653,744,745,760,759,969,970,985,984
654,745,746,761,760,970,971,986,985
655,746,747,762,761,971,972,987,986
656,747,748,763,762,972,973,988,987
657,748,749,764,763,973,974,989,988
658,749,750,765,764,974,975,990,989
659,751,752,767,766,976,977,992,991
660,752,753,768,767,977,978,993,992
661,753,754,769,768,978,979,994,993
662,754,755,770,769,979,980,995,994
663,755,756,771,770,980,981,996,995
664,756,757,772,771,981,982,997,996
665,757,758,773,772,982,983,998,997
666,758,759,774,773,983,984,999,998
667,759,760,775,774,984,985,1000,999
668,760,761,776,775,985,986,1001,1000
669,761,762,777,776,986,987,1002,1001
670,762,763,778,777,987,988,1003,1002
671,763,764,779,778,988,989,1004,1003
672,764,765,780,779,989,990,1005,1004
673,766,767,782,781,991,992,1007,1006
674,767,768,783,782,992,993,1008,1007
675,768,769,784,783,993,994,1009,1008
676,769,770,785,784,994,995,1010,1009
677,770,771,786,785,995,996,1011,1010
678,771,772,787,786,996,997,1012,1011
679,772,773,788,787,997,998,1013,1012
680,773,774,789,788,998,999,1014,1013
681,774,775,790,789,999,1000,1015,1014
682,775,776,791,790,1000,1001,1016,1015
683,776,777,792,791,1001,1002,1017,1016
684,777,778,793,792,1002,1003,1018,1017
685,778,779,794,793,1003,1004,1019,1018
686,779,780,795,794,1004,1005,1020,1019
687,781,782,797,796,1006,1007,1022,1021
688,782,783,798,797,1007,1008,1023,1022
689,783,784,799,798,1008,1009,1024,1023
690,784,785,800,799,1009,1010,1025,1024
691,785,786,801,800,1010,1011,1026,1025
692,786,787,802,801,1011,1012,1027,1026
693,787,788,803,802,1012,1013,1028,1027
694,788,789,804,803,1013,1014,1029,1028
695,789,790,805,804,1014,1015,1030,1029
696,790,791,806,805,1015,1016,1031,1030
697,791,792,807,806,1016,1017,1032,1031
698,792,793,808,807,1017,1018,1033,1032
699,793,794,809,808,1018,1019,1034,1033
700,794,795,810,809,1019,1020,1035,1034
701,796,797,812,811,1021,1022,1037,1036
702,797,798,813,812,1022,1023,1038,1037
703,798,799,814,813,1023,1024,1039,1038
704,799,800,815,814,1024,1025,1040,1039
705,800,801,816,815,1025,1026,1041,1040
706,801,802,817,816,1026,1027,1042,1041
707,802,803,818,817,1027,1028,1043,1042
708,803,804,819,818,1028,1029,1044,1043
709,804,805,820,819,1029,1030,1045,1044
710,805,806,821,820,1030,1031,1046,1045
711,806,807,822,821,1031,1032,1047,1046
712,807,808,823,822,1032,1033,1048,1047
713,808,809,824,823,1033,1034,1049,1048
714,809,810,825,824,1034,1035,1050,1049
715,811,812,827,826,1036,1037,1052,1051
716,812,813,828,827,1037,1038,1053,1052
717,813,814,829,828,1038,1039,1054,1053
718,814,815,830,829,1039,1040,1055,1054
719,815,816,831,830,1040,1041,1056,1055
720,816,817,832,831,1041,1042,1057,1056
721,817,818,833,832,1042,1043,1058,1057
722,818,819,834,833,1043,1044,1059,1058
723,819,820,835,834,1044,1045,1060,1059
724,820,821,836,835,1045,1046,1061,1060
725,821,822,837,836,1046,1047,1062,1061
726,822,823,838,837,1047,1048,1063,1062
727,823,824,839,838,1048,1049,1064,1063
728,824,825,840,839,1049,1050,1065,1064
729,826,827,842,841,1051,1052,1067,1066
730,827,828,843,842,1052,1053,1068,1067
731,828,829,844,843,1053,1054,1069,1068
732,829,830,845,844,1054,1055,1070,1069
733,830,831,846,845,1055,1056,1071,1070
734,831,832,847,846,1056,1057,1072,1071
735,832,833,848,847,1057,1058,1073,1072
736,833,834,849,848,1058,1059,1074,1073
737,834,835,850,849,1059,1060,1075,1074
738,835,836,851,850,1060,1061,1076,1075
739,836,837,852,851,1061,1062,1077,1076
740,837,838,853,852,1062,1063,1078,1077
741,838,839,854,853,1063,1064,1079,1078
742,839,840,855,854,1064,1065,1080,1079
743,841,842,857,856,1066,1067,1082,1081
744,842,843,858,857,1067,1068,1083,1082
745,843,844,859,858,1068,1069,1084,1083
746,844,845,860,859,1069,1070,1085,1084
747,845,846,861,860,1070,1071,1086,1085
748,846,847,862,861,1071,1072,1087,1086
749,847,848,863,862,1072,1073,1088,1087
750,848,849,864,863,1073,1074,1089,1088
751,849,850,865,864,1074,1075,1090,1089
752,850,851,866,865,1075,1076,1091,1090
753,851,852,867,866,1076,1077,1092,1091
754,852,853,868,867,1077,1078,1093,1092
755,853,854,869,868,1078,1079,1094,1093
756,854,855,870,869,1079,1080,1095,1094
757,856,857,872,871,1081,1082,1097,1096
758,857,858,873,872,1082,1083,1098,1097
759,858,859,874,873,1083,1084,1099,1098
760,859,860,875,874,1084,1085,1100,1099
761,860,861,876,875,1085,1086,1101,1100
762,861,862,877,876,1086,1087,1102,1101
763,862,863,878,877,1087,1088,1103,1102
764,863,864,879,878,1088,1089,1104,1103
765,864,865,880,879,1089,1090,1105,1104
766,865,866,881,880,1090,1091,1106,1105
767,866,867,882,881,1091,1092,1107,1106
768,867,868,883,882,1092,1093,1108,1107
769,868,869,884,883,1093,1094,1109,1108
770,869,870,885,884,1094,1095,1110,1109
771,871,872,887,886,1096,1097,1112,1111
772,872,873,888,887,1097,1098,1113,1112
773,873,874,889,888,1098,1099,1114,1113
774,874,875,890,889,1099,1100,1115,1114
775,875,876,891,890,1100,1101,1116,1115
776,876,877,892,891,1101,1102,1117,1116
777,877,878,893,892,1102,1103,1118,1117
778,878,879,894,893,1103,1104,1119,1118
779,879,880,895,894,1104,1105,1120,1119
780,880,881,896,895,1105,1106,1121,1120
781,881,882,897,896,1106,1107,1122,1121
782,882,883,898,897,1107,1108,1123,1122
783,883,884,899,898,1108,1109,1124,1123
784,884,885,900,899,1109,1110,1125,1124
785,901,902,917,916,1126,1127,1142,1141
786,902,903,918,917,1127,1128,1143,1142
787,903,904,919,918,1128,1129,1144,1143
788,904,905,920,919,1129,1130,1145,1144
789,905,906,921,920,1130,1131,1146,1145
790,906,907,922,921,1131,1132,1147,1146
791,907,908,923,922,1132,1133,1148,1147
792,908,909,924,923,1133,1134,1149,1148
793,909,910,925,924,1134,1135,1150,1149
794,910,911,926,925,1135,1136,1151,1150
795,911,912,927,926,1136,1137,1152,1151
796,912,913,928,927,1137,1138,1153,1152
797,913,914,929,928,1138,1139,1154,1153
798,914,915,930,929,1139,1140,1155,1154
799,916,917,932,931,1141,1142,1157,1156
800,917,918,933,932,1142,1143,1158,1157
801,918,919,934,933,1143,1144,1159,1158
802,919,920,935,934,1144,1145,1160,1159
803,920,921,936,935,1145,1146,1161,1160
804,921,922,937,936,1146,1147,1162,1161
805,922,923,938,937,1147,1148,1163,1162
806,923,924,939,938,1148,1149,1164,1163
807,924,925,940,939,1149,1150,1165,1164
808,925,926,941,940,1150,1151,1166,1165
809,926,927,942,941,1151,1152,1167,1166
810,927,928,943,942,1152,1153,1168,1167
811,928,929,944,943,1153,1154,1169,1168
812,929,930,945,944,1154,1155,1170,1169
813,931,932,947,946,1156,1157,1172,1171
814,932,933,948,947,1157,1158,1173,1172
815,933,934,949,948,1158,1159,1174,1173
816,934,935,950,949,1159,1160,1175,1174
817,935,936,951,950,1160,1161,1176,1175
818,936,937,952,951,1161,1162,1177,1176
819,937,938,953,952,1162,1163,1178,1177
820,938,939,954,953,1163,1164,1179,1178
821,939,940,955,954,1164,1165,1180,1179
822,940,941,956,955,1165,1166,1181,1180
823,941,942,957,956,1166,1167,1182,1181
824,942,943,958,957,1167,1168,1183,1182
825,943,944,959,958,1168,1169,1184,1183
826,944,945,960,959,1169,1170,1185,1184
827,946,947,962,961,1171,1172,1187,1186
828,947,948,963,962,1172,1173,1188,1187
829,948,949,964,963,1173,1174,1189,1188
830,949,950,965,964,1174,1175,1190,1189
831,950,951,966,965,1175,1176,1191,1190
832,951,952,967,966,1176,1177,1192,1191
833,952,953,968,967,1177,1178,1193,1192
834,953,954,969,968,1178,1179,1194,1193
835,954,955,970,969,1179,1180,1195,1194
836,955,956,971,970,1180,1181,1196,1195
837,956,957,972,971,1181,1182,1197,1196
838,957,958,973,972,1182,1183,1198,1197
839,958,959,974,973,1183,1184,1199,1198
840,959,960,975,974,1184,1185,1200,1199
841,961,962,977,976,1186,1187,1202,1201
842,962,963,978,977,1187,1188,1203,1202
843,963,964,979,978,1188,1189,1204,1203
844,964,965,980,979,1189,1190,1205,1204
845,965,966,981,980,1190,1191,1206,1205
846,966,967,982,981,1191,1192,1207,1206
847,967,968,983,982,1192,1193,1208,1207
848,968,969,984,983,1193,1194,1209,1208
849,969,970,985,984,1194,1195,1210,1209
850,970,971,986,985,1195,1196,1211,1210
851,971,972,987,986,1196,1197,1212,1211
852,972,973,988,987,1197,1198,1213,1212
853,973,974,989,988,1198,1199,1214,1213
854,974,975,990,989,1199,1200,1215,1214
855,976,977,992,991,1201,1202,1217,1216
856,977,978,993,992,1202,1203,1218,1217
857,978,979,994,993,1203,1204,1219,1218
858,979,980,995,994,1204,1205,1220,1219
859,980,981,996,995,1205,1206,1221,1220
860,981,982,997,996,1206,1207,1222,1221
861,982,983,998,997,1207,1208,1223,1222
862,983,984,999,998,1208,1209,1224,1223
863,984,985,1000,999,1209,1210,1225,1224
864,985,986,1001,1000,1210,1211,1226,1225
865,986,987,1002,1001,1211,1212,1227,1226
866,987,988,1003,1002,1212,1213,1228,1227
867,988,989,1004,1003,1213,1214,1229,1228
868,989,990,1005,1004,1214,1215,1230,1229
869,991,992,1007,1006,1216,1217,1232,1231
870,992,993,1008,1007,1217,1218,1233,1232
871,993,994,1009,1008,1218,1219,1234,1233
872,994,995,1010,1009,1219,1220,1235,1234
873,995,996,1011,1010,1220,1221,1236,1235
874,996,997,1012,1011,1221,1222,1237,1236
875,997,998,1013,1012,1222,1223,1238,1237
876,998,999,1014,1013,1223,1224,1239,1238
877,999,1000,1015,1014,1224,1225,1240,1239
878,1000,1001,1016,1015,1225,1226,1241,1240
879,1001,1002,1017,1016,1226,1227,1242,1241
880,1002,1003,1018,1017,1227,1228,1243,1242
881,1003,1004,1019,1018,1228,1229,1244,1243
882,1004,1005,1020,1019,1229,1230,1245,1244
883,1006,1007,1022,1021,1231,1232,1247,1246
884,1007,1008,1023,1022,1232,1233,1248,1247
885,1008,1009,1024,1023,1233,1234,1249,1248
886,1009,1010,1025,1024,1234,1235,1250,1249
887,1010,1011,1026,1025,1235,1236,1251,1250
888,1011,1012,1027,1026,1236,1237,1252,1251
889,1012,1013,1028,1027,1237,1238,1253,1252
890,1013,1014,1029,1028,1238,1239,1254,1253
891,1014,1015,1030,1029,1239,1240,1255,1254
892,1015,1016,1031,1030,1240,1241,1256,1255
893,1016,1017,1032,1031,1241,1242,1257,1256
894,1017,1018,1033,1032,1242,1243,1258,1257
895,1018,1019,1034,1033,1243,1244,1259,1258
896,1019,1020,1035,1034,1244,1245,1260,1259
897,1021,1022,1037,1036,1246,1247,1262,1261
898,1022,1023,1038,1037,1247,1248,1263,1262
899,1023,1024,1039,1038,1248,1249,1264,1263
900,1024,1025,1040,1039,1249,1250,1265,1264
901,1025,1026,1041,1040,1250,1251,1266,1265
902,1026,1027,1042,1041,1251,1252,1267,1266
903,1027,1028,1043,1042,1252,1253,1268,1267
904,1028,1029,1044,1043,1253,1254,1269,1268
905,1029,1030,1045,1044,1254,1255,1270,1269
906,1030,1031,1046,1045,1255,1256,1271,1270
907,1031,1032,1047,1046,1256,1257,1272,1271
908,1032,1033,1048,1047,1257,1258,1273,1272
909,1033,1034,1049,1048,1258,1259,1274,1273
910,1034,1035,1050,1049,1259,1260,1275,1274
911,1036,1037,1052,1051,1261,1262,1277,1276
912,1037,1038,1053,1052,1262,1263,1278,1277
913,1038,1039,1054,1053,1263,1264,1279,1278
914,1039,1040,1055,1054,1264,1265,1280,1279
915,1040,1041,1056,1055,1265,1266,1281,1280
916,1041,1042,1057,1056,1266,1267,1282,1281
917,1042,1043,1058,1057,1267,1268,1283,1282
918,1043,1044,1059,1058,1268,1269,1284,1283
919,1044,1045,1060,1059,1269,1270,1285,1284
920,1045,1046,1061,1060,1270,1271,1286,1285
921,1046,1047,1062,1061,1271,1272,1287,1286
922,1047,1048,1063,1062,1272,1273,1288,1287
923,1048,1049,1064,1063,1273,1274,1289,1288
924,1049,1050,1065,1064,1274,1275,1290,1289
925,1051,1052,1067,1066,1276,1277,1292,1291
926,1052,1053,1068,1067,1277,1278,1293,1292
927,1053,1054,1069,1068,1278,1279,1294,1293
928,1054,1055,1070,1069,1279,1280,1295,1294
929,1055,1056,1071,1070,1280,1281,1296,1295
930,1056,1057,1072,1071,1281,1282,1297,1296
931,1057,1058,1073,1072,1282,1283,1298,1297
932,1058,1059,1074,1073,1283,1284,1299,1298
933,1059,1060,1075,1074,1284,1285,1300,1299
934,1060,1061,1076,1075,1285,1286,1301,1300
935,1061,1062,1077,1076,1286,1287,1302,1301
936,1062,1063,1078,1077,1287,1288,1303,1302
937,1063,1064,1079,1078,1288,1289,1304,1303
938,1064,1065,1080,1079,1289,1290,1305,1304
939,1066,1067,1082,1081,1291,1292,1307,1306
940,1067,1068,1083,1082,1292,1293,1308,1307
941,1068,1069,1084,1083,1293,1294,1309,1308
942,1069,1070,1085,1084,1294,1295,1310,1309
943,1070,1071,1086,1085,1295,1296,1311,1310
944,1071,1072,1087,1086,1296,1297,1312,1311
945,1072,1073,1088,1087,1297,1298,1313,1312
946,1073,1074,1089,1088,1298,1299,1314,1313
947,1074,1075,1090,1089,1299,1300,1315,1314
948,1075,1076,1091,1090,1300,1301,1316,1315
949,1076,1077,1092,1091,1301,1302,1317,1316
950,1077,1078,1093,1092,1302,1303,1318,1317
951,1078,1079,1094,1093,1303,1304,1319,1318
952,1079,1080,1095,1094,1304,1305,1320,1319
953,1081,1082,1097,1096,1306,1307,1322,1321
954,1082,1083,1098,1097,1307,1308,1323,1322
955,1083,1084,1099,1098,1308,1309,1324,1323
956,1084,1085,1100,1099,1309,1310,1325,1324
957,1085,1086,1101,1100,1310,1311,1326,1325
958,1086,1087,1102,1101,1311,1312,1327,1326
959,1087,1088,1103,1102,1312,1313,1328,1327
960,1088,1089,1104,1103,1313,1314,1329,1328
961,1089,1090,1105,1104,1314,1315,1330,1329
962,1090,1091,1106,1105,1315,1316,1331,1330
963,1091,1092,1107,1106,1316,1317,1332,1331
964,1092,1093,1108,1107,1317,1318,1333,1332
965,1093,1094,1109,1108,1318,1319,1334,1333
966,1094,1095,1110,1109,1319,1320,1335,1334
967,1096,1097,1112,1111,1321,1322,1337,1336
968,1097,1098,1113,1112,1322,1323,1338,1337
969,1098,1099,1114,1113,1323,1324,1339,1338
970,1099,1100,1115,1114,1324,1325,1340,1339
971,1100,1101,1116,1115,1325,1326,1341,1340
972,1101,1102,1117,1116,1326,1327,1342,1341
973,1102,1103,1118,1117,1327,1328,1343,1342
974,1103,1104,1119,1118,1328,1329,1344,1343
975,1104,1105,1120,1119,1329,1330,1345,1344
976,1105,1106,1121,1120,1330,1331,1346,1345
977,1106,1107,1122,1121,1331,1332,1347,1346
978,1107,1108,1123,1122,1332,1333,1348,1347
979,1108,1109,1124,1123,1333,1334,1349,1348
980,1109,1110,1125,1124,1334,1335,1350,1349
981,1126,1127,1142,1141,1351,1352,1367,1366
982,1127,1128,1143,1142,1352,1353,1368,1367
983,1128,1129,1144,1143,1353,1354,1369,1368
984,1129,1130,1145,1144,1354,1355,1370,1369
985,1130,1131,1146,1145,1355,1356,1371,1370
986,1131,1132,1147,1146,1356,1357,1372,1371
987,1132,1133,1148,1147,1357,1358,1373,1372
988,1133,1134,1149,1148,1358,1359,1374,1373
989,1134,1135,1150,1149,1359,1360,1375,1374
990,1135,1136,1151,1150,1360,1361,1376,1375
991,1136,1137,1152,1151,1361,1362,1377,1376
992,1137,1138,1153,1152,1362,1363,1378,1377
993,1138,1139,1154,1153,1363,1364,1379,1378
994,1139,1140,1155,1154,1364,1365,1380,1379
995,1141,1142,1157,1156,1366,1367,1382,1381
996,1142,1143,1158,1157,1367,1368,1383,1382
997,1143,1144,1159,1158,1368,1369,1384,1383
998,1144,1145,1160,1159,1369,1370,1385,1384
999,1145,1146,1161,1160,1370,1371,1386,1385
1000,1146,1147,1162,1161,1371,1372,1387,1386
1001,1147,1148,1163,1162,1372,1373,1388,1387
1002,1148,1149,1164,1163,1373,1374,1389,1388
1003,1149,1150,1165,1164,1374,1375,1390,1389
1004,1150,1151,1166,1165,1375,1376,1391,1390
1005,1151,1152,1167,1166,1376,1377,1392,1391
1006,1152,1153,1168,1167,1377,1378,1393,1392
1007,1153,1154,1169,1168,1378,1379,1394,1393
1008,1154,1155,1170,1169,1379,1380,1395,1394
1009,1156,1157,1172,1171,1381,1382,1397,1396
1010,1157,1158,1173,1172,1382,1383,1398,1397
1011,1158,1159,1174,1173,1383,1384,1399,1398
1012,1159,1160,1175,1174,1384,1385,1400,1399
1013,1160,1161,1176,1175,1385,1386,1401,1400
1014,1161,1162,1177,1176,1386,1387,1402,1401
1015,1162,1163,1178,1177,1387,1388,1403,1402
1016,1163,1164,1179,1178,1388,1389,1404,1403
1017,1164,1165,1180,1179,1389,1390,1405,1404
1018,1165,1166,1181,1180,1390,1391,1406,1405
1019,1166,1167,1182,1181,1391,1392,1407,1406
1020,1167,1168,1183,1182,1392,1393,1408,1407
1021,1168,1169,1184,1183,1393,1394,1409,1408
1022,1169,1170,1185,1184,1394,1395,1410,1409
1023,1171,1172,1187,1186,1396,1397,1412,1411
1024,1172,1173,1188,1187,1397,1398,1413,1412
1025,1173,1174,1189,1188,1398,1399,1414,1413
1026,1174,1175,1190,1189,1399,1400,1415,1414
1027,1175,1176,1191,1190,1400,1401,1416,1415
1028,1176,1177,1192,1191,1401,1402,1417,1416
1029,1177,1178,1193,1192,1402,1403,1418,1417
1030,1178,1179,1194,1193,1403,1404,1419,1418
1031,1179,1180,1195,1194,1404,1405,1420,1419
1032,1180,1181,1196,1195,1405,1406,1421,1420
1033,1181,1182,1197,1196,1406,1407,1422,1421
1034,1182,1183,1198,1197,1407,1408,1423,1422
1035,1183,1184,1199,1198,1408,1409,1424,1423
1036,1184,1185,1200,1199,1409,1410,1425,1424
1037,1186,1187,1202,1201,1411,1412,1427,1426
1038,1187,1188,1203,1202,1412,1413,1428,1427
1039,1188,1189,1204,1203,1413,1414,1429,1428
1040,1189,1190,1205,1204,1414,1415,1430,1429
1041,1190,1191,1206,1205,1415,1416,1431,1430
1042,1191,1192,1207,1206,1416,1417,1432,1431
1043,1192,1193,1208,1207,1417,1418,1433,1432
1044,1193,1194,1209,1208,1418,1419,1434,1433
1045,1194,1195,1210,1209,1419,1420,1435,1434
1046,1195,1196,1211,1210,1420,1421,1436,1435
1047,1196,1197,1212,1211,1421,1422,1437,1436
1048,1197,1198,1213,1212,1422,1423,1438,1437
1049,1198,1199,1214,1213,1423,1424,1439,1438
1050,1199,1200,1215,1214,1424,1425,1440,1439
1051,1201,1202,1217,1216,1426,1427,1442,1441
1052,1202,1203,1218,1217,1427,1428,1443,1442
1053,1203,1204,1219,1218,1428,1429,1444,1443
1054,1204,1205,1220,1219,1429,1430,1445,1444
1055,1205,1206,1221,1220,1430,1431,1446,1445
1056,1206,1207,1222,1221,1431,1432,1447,1446
1057,1207,1208,1223,1222,1432,1433,1448,1447
1058,1208,1209,1224,1223,1433,1434,1449,1448
1059,1209,1210,1225,1224,1434,1435,1450,1449
1060,1210,1211,1226,1225,1435,1436,1451,1450
1061,1211,1212,1227,1226,1436,1437,1452,1451
1062,1212,1213,1228,1227,1437,1438,1453,1452
1063,1213,1214,1229,1228,1438,1439,1454,1453
1064,1214,1215,1230,1229,1439,1440,1455,1454
1065,1216,1217,1232,1231,1441,1442,1457,1456
1066,1217,1218,1233,1232,1442,1443,1458,1457
1067,1218,1219,1234,1233,1443,1444,1459,1458
1068,1219,1220,1235,1234,1444,1445,1460,1459
1069,1220,1221,1236,1235,1445,1446,1461,1460
1070,1221,1222,1237,1236,1446,1447,1462,1461
1071,1222,1223,1238,1237,1447,1448,1463,1462
1072,1223,1224,1239,1238,1448,1449,1464,1463
1073,1224,1225,1240,1239,1449,1450,1465,1464
1074,1225,1226,1241,1240,1450,1451,1466,1465
1075,1226,1227,1242,1241,1451,1452,1467,1466
1076,1227,1228,1243,1242,1452,1453,1468,1467
1077,1228,1229,1244,1243,1453,1454,1469,1468
1078,1229,1230,1245,1244,1454,1455,1470,1469
1079,1231,1232,1247,1246,1456,1457,1472,1471
1080,1232,1233,1248,1247,1457,1458,1473,1472
1081,1233,1234,1249,1248,1458,1459,1474,1473
1082,1234,1235,1250,1249,1459,1460,1475,1474
1083,1235,1236,1251,1250,1460,1461,1476,1475
1084,1236,1237,1252,1251,1461,1462,1477,1476
1085,1237,1238,1253,1252,1462,1463,1478,1477
1086,1238,1239,1254,1253,1463,1464,1479,1478
1087,1239,1240,1255,1254,1464,1465,1480,1479
1088,1240,1241,1256,1255,1465,1466,1481,1480
1089,1241,1242,1257,1256,1466,1467,1482,1481
1090,1242,1243,1258,1257,1467,1468,1483,1482
1091,1243,1244,1259,1258,1468,1469,1484,1483
1092,1244,1245,1260,1259,1469,1470,1485,1484
1093,1246,1247,1262,1261,1471,1472,1487,1486
1094,1247,1248,1263,1262,1472,1473,1488,1487
1095,1248,1249,1264,1263,1473,1474,1489,1488
1096,1249,1250,1265,1264,1474,1475,1490,1489
1097,1250,1251,1266,1265,1475,1476,1491,1490
1098,1251,1252,1267,1266,1476,1477,1492,1491
1099,1252,1253,1268,1267,1477,1478,1493,1492
1100,1253,1254,1269,1268,1478,1479,1494,1493
1101,1254,1255,1270,1269,1479,1480,1495,1494
1102,1255,1256,1271,1270,1480,1481,1496,1495
1103,1256,1257,1272,1271,1481,1482,1497,1496
1104,1257,1258,1273,1272,1482,1483,1498,1497
1105,1258,1259,1274,1273,1483,1484,1499,1498
1106,1259,1260,1275,1274,1484,1485,1500,1499
1107,1261,1262,1277,1276,1486,1487,1502,1501
1108,1262,1263,1278,1277,1487,1488,1503,1502
1109,1263,1264,1279,1278,1488,1489,1504,1503
1110,1264,1265,1280,1279,1489,1490,1505,1504
1111,1265,1266,1281,1280,1490,1491,1506,1505
1112,1266,1267,1282,1281,1491,1492,1507,1506
1113,1267,1268,1283,1282,1492,1493,1508,1507
1114,1268,1269,1284,1283,1493,1494,1509,1508
1115,1269,1270,1285,1284,1494,1495,1510,1509
1116,1270,1271,1286,1285,1495,1496,1511,1510
1117,1271,1272,1287,1286,1496,1497,1512,1511
1118,1272,1273,1288,1287,1497,1498,1513,1512
1119,1273,1274,1289,1288,1498,1499,1514,1513
1120,1274,1275,1290,1289,1499,1500,1515,1514
1121,1276,1277,1292,1291,1501,1502,1517,1516
1122,1277,1278,1293,1292,1502,1503,1518,1517
1123,1278,1279,1294,1293,1503,1504,1519,1518
1124,1279,1280,1295,1294,1504,1505,1520,1519
1125,1280,1281,1296,1295,1505,1506,1521,1520
1126,1281,1282,1297,1296,1506,1507,1522,1521
1127,1282,1283,1298,1297,1507,1508,1523,1522
1128,1283,1284,1299,1298,1508,1509,1524,1523
1129,1284,1285,1300,1299,1509,1510,1525,1524
1130,1285,1286,1301,1300,1510,1511,1526,1525
1131,1286,1287,1302,1301,1511,1512,1527,1526
1132,1287,1288,1303,1302,1512,1513,1528,1527
1133,1288,1289,1304,1303,1513,1514,1529,1528
1134,1289,1290,1305,1304,1514,1515,1530,1529
1135,1291,1292,1307,1306,1516,1517,1532,1531
1136,1292,1293,1308,1307,1517,1518,1533,1532
1137,1293,1294,1309,1308,1518,1519,1534,1533
1138,1294,1295,1310,1309,1519,1520,1535,1534
1139,1295,1296,1311,1310,1520,1521,1536,1535
1140,1296,1297,1312,1311,1521,1522,1537,1536
1141,1297,1298,1313,1312,1522,1523,1538,1537
1142,1298,1299,1314,1313,1523,1524,1539,1538
1143,1299,1300,1315,1314,1524,1525,1540,1539
1144,1300,1301,1316,1315,1525,1526,1541,1540
1145,1301,1302,1317,1316,1526,1527,1542,1541
1146,1302,1303,1318,1317,1527,1528,1543,1542
1147,1303,1304,1319,1318,1528,1529,1544,1543
1148,1304,1305,1320,1319,1529,1530,1545,1544
1149,1306,1307,1322,1321,1531,1532,1547,1546
1150,1307,1308,1323,1322,1532,1533,1548,1547
1151,1308,1309,1324,1323,1533,1534,1549,1548
1152,1309,1310,1325,1324,1534,1535,1550,1549
1153,1310,1311,1326,1325,1535,1536,1551,1550
1154,1311,1312,1327,1326,1536,1537,1552,1551
1155,1312,1313,1328,1327,1537,1538,1553,1552
1156,1313,1314,1329,1328,1538,1539,1554,1553
1157,1314,1315,1330,1329,1539,1540,1555,1554
1158,1315,1316,1331,1330,1540,1541,1556,1555
1159,1316,1317,1332,1331,1541,1542,1557,1556
1160,1317,1318,1333,1332,1542,1543,1558,1557
1161,1318,1319,1334,1333,1543,1544,1559,1558
1162,1319,1320,1335,1334,1544,1545,1560,1559
1163,1321,1322,1337,1336,1546,1547,1562,1561
1164,1322,1323,1338,1337,1547,1548,1563,1562
1165,1323,1324,1339,1338,1548,1549,1564,1563
1166,1324,1325,1340,1339,1549,1550,1565,1564
1167,1325,1326,1341,1340,1550,1551,1566,1565
1168,1326,1327,1342,1341,1551,1552,1567,1566
1169,1327,1328,1343,1342,1552,1553,1568,1567
1170,1328,1329,1344,1343,1553,1554,1569,1568
1171,1329,1330,1345,1344,1554,1555,1570,1569
1172,1330,1331,1346,1345,1555,1556,1571,1570
1173,1331,1332,1347,1346,1556,1557,1572,1571
1174,1332,1333,1348,1347,1557,1558,1573,1572
1175,1333,1334,1349,1348,1558,1559,1574,1573
1176,1334,1335,1350,1349,1559,1560,1575,1574
1177,1351,1352,1367,1366,1576,1577,1592,1591
1178,1352,1353,1368,1367,1577,1578,1593,1592
1179,1353,1354,1369,1368,1578,1579,1594,1593
1180,1354,1355,1370,1369,1579,1580,1595,1594
1181,1355,1356,1371,1370,1580,1581,1596,1595
1182,1356,1357,1372,1371,1581,1582,1597,1596
1183,1357,1358,1373,1372,1582,1583,1598,1597
1184,1358,1359,1374,1373,1583,1584,1599,1598
1185,1359,1360,1375,1374,1584,1585,1600,1599
1186,1360,1361,1376,1375,1585,1586,1601,1600
1187,1361,1362,1377,1376,1586,1587,1602,1601
1188,1362,1363,1378,1377,1587,1588,1603,1602
1189,1363,1364,1379,1378,1588,1589,1604,1603
1190,1364,1365,1380,1379,1589,1590,1605,1604
1191,1366,1367,1382,1381,1591,1592,1607,1606
1192,1367,1368,1383,1382,1592,1593,1608,1607
1193,1368,1369,1384,1383,1593,1594,1609,1608
1194,1369,1370,1385,1384,1594,1595,1610,1609
1195,1370,1371,1386,1385,1595,1596,1611,1610
1196,1371,1372,1387,1386,1596,1597,1612,1611
1197,1372,1373,1388,1387,1597,1598,1613,1612
1198,1373,1374,1389,1388,1598,1599,1614,1613
1199,1374,1375,1390,1389,1599,1600,1615,1614
1200,1375,1376,1391,1390,1600,1601,1616,1615
1201,1376,1377,1392,1391,1601,1602,1617,1616
1202,1377,1378,1393,1392,1602,1603,1618,1617
1203,1378,1379,1394,1393,1603,1604,1619,1618
1204,1379,1380,1395,1394,1604,1605,1620,1619
1205,1381,1382,1397,1396,1606,1607,1622,1621
1206,1382,1383,1398,1397,1607,1608,1623,1622
1207,1383,1384,1399,1398,1608,1609,1624,1623
1208,1384,1385,1400,1399,1609,1610,1625,1624
1209,1385,1386,1401,1400,1610,1611,1626,1625
1210,1386,1387,1402,1401,1611,1612,1627,1626
1211,1387,1388,1403,1402,1612,1613,1628,1627
1212,1388,1389,1404,1403,1613,1614,1629,1628
1213,1389,1390,1405,1404,1614,1615,1630,1629
1214,1390,1391,1406,1405,1615,1616,1631,1630
1215,1391,1392,1407,1406,1616,1617,1632,1631
1216,1392,1393,1408,1407,1617,1618,1633,1632
1217,1393,1394,1409,1408,1618,1619,1634,1633
1218,1394,1395,1410,1409,1619,1620,1635,1634
1219,1396,1397,1412,1411,1621,1622,1637,1636
1220,1397,1398,1413,1412,1622,1623,1638,1637
1221,1398,1399,1414,1413,1623,1624,1639,1638
1222,1399,1400,1415,1414,1624,1625,1640,1639
1223,1400,1401,1416,1415,1625,1626,1641,1640
1224,1401,1402,1417,1416,1626,1627,1642,1641
1225,1402,1403,1418,1417,1627,1628,1643,1642
1226,1403,1404,1419,1418,1628,1629,1644,1643
1227,1404,1405,1420,1419,1629,1630,1645,1644
1228,1405,1406,1421,1420,1630,1631,1646,1645
1229,1406,1407,1422,1421,1631,1632,1647,1646
1230,1407,1408,1423,1422,1632,1633,1648,1647
1231,1408,1409,1424,1423,1633,1634,1649,1648
1232,1409,1410,1425,1424,1634,1635,1650,1649
1233,1411,1412,1427,1426,1636,1637,1652,1651
1234,1412,1413,1428,1427,1637,1638,1653,1652
1235,1413,1414,1429,1428,1638,1639,1654,1653
1236,1414,1415,1430,1429,1639,1640,1655,1654
1237,1415,1416,1431,1430,1640,1641,1656,1655
1238,1416,1417,1432,1431,1641,1642,1657,1656
1239,1417,1418,1433,1432,1642,1643,1658,1657
1240,1418,1419,1434,1433,1643,1644,1659,1658
1241,1419,1420,1435,1434,1644,1645,1660,1659
1242,1420,1421,1436,1435,1645,1646,1661,1660
1243,1421,1422,1437,1436,1646,1647,1662,1661
1244,1422,1423,1438,1437,1647,1648,1663,1662
1245,1423,1424,1439,1438,1648,1649,1664,1663
1246,1424,1425,1440,1439,1649,1650,1665,1664
1247,1426,1427,1442,1441,1651,1652,1667,1666
1248,1427,1428,1443,1442,1652,1653,1668,1667
1249,1428,1429,1444,1443,1653,1654,1669,1668
1250,1429,1430,1445,1444,1654,1655,1670,1669
1251,1430,1431,1446,1445,1655,1656,1671,1670
1252,1431,1432,1447,1446,1656,1657,1672,1671
1253,1432,1433,1448,1447,1657,1658,1673,1672
1254,1433,1434,1449,1448,1658,1659,1674,1673
1255,1434,1435,1450,1449,1659,1660,1675,1674
1256,1435,1436,1451,1450,1660,1661,1676,1675
1257,1436,1437,1452,1451,1661,1662,1677,1676
1258,1437,1438,1453,1452,1662,1663,1678,1677
1259,1438,1439,1454,1453,1663,1664,1679,1678
1260,1439,1440,1455,1454,1664,1665,1680,1679
1261,1441,1442,1457,1456,1666,1667,1682,1681
1262,1442,1443,1458,1457,1667,1668,1683,1682
1263,1443,1444,1459,1458,1668,1669,1684,1683
1264,1444,1445,1460,1459,1669,1670,1685,1684
1265,1445,1446,1461,1460,1670,1671,1686,1685
1266,1446,1447,1462,1461,1671,1672,1687,1686
1267,1447,1448,1463,1462,1672,1673,1688,1687
1268,1448,1449,1464,1463,1673,1674,1689,1688
1269,1449,1450,1465,1464,1674,1675,1690,1689
1270,1450,1451,1466,1465,1675,1676,1691,1690
1271,1451,1452,1467,1466,1676,1677,1692,1691
1272,1452,1453,1468,1467,1677,1678,1693,1692
1273,1453,1454,1469,1468,1678,1679,1694,1693
1274,1454,1455,1470,1469,1679,1680,1695,1694
1275,1456,1457,1472,1471,1681,1682,1697,1696
1276,1457,1458,1473,1472,1682,1683,1698,1697
1277,1458,1459,1474,1473,1683,1684,1699,1698
1278,1459,1460,1475,1474,1684,1685,1700,1699
1279,1460,1461,1476,1475,1685,1686,1701,1700
1280,1461,1462,1477,1476,1686,1687,1702,1701
1281,1462,1463,1478,1477,1687,1688,1703,1702
1282,1463,1464,1479,1478,1688,1689,1704,1703
1283,1464,1465,1480,1479,1689,1690,1705,1704
1284,1465,1466,1481,1480,1690,1691,1706,1705
1285,1466,1467,1482,1481,1691,1692,1707,1706
1286,1467,1468,1483,1482,1692,1693,1708,1707
1287,1468,1469,1484,1483,1693,1694,1709,1708
1288,1469,1470,1485,1484,1694,1695,1710,1709
1289,1471,1472,1487,1486,1696,1697,1712,1711
1290,1472,1473,1488,1487,1697,1698,1713,1712
1291,1473,1474,1489,1488,1698,1699,1714,1713
1292,1474,1475,1490,1489,1699,1700,1715,1714
1293,1475,1476,1491,1490,1700,1701,1716,1715
1294,1476,1477,1492,1491,1701,1702,1717,1716
1295,1477,1478,1493,1492,1702,1703,1718,1717
1296,1478,1479,1494,1493,1703,1704,1719,1718
1297,1479,1480,1495,1494,1704,1705,1720,1719
1298,1480,1481,1496,1495,1705,1706,1721,1720
1299,1481,1482,1497,1496,1706,1707,1722,1721
1300,1482,1483,1498,1497,1707,1708,1723,1722
1301,1483,1484,1499,1498,1708,1709,1724,1723
1302,1484,1485,1500,1499,1709,1710,1725,1724
1303,1486,1487,1502,1501,1711,1712,1727,1726
1304,1487,1488,1503,1502,1712,1713,1728,1727
1305,1488,1489,1504,1503,1713,1714,1729,1728
1306,1489,1490,1505,1504,1714,1715,1730,1729
1307,1490,1491,1506,1505,1715,1716,1731,1730
1308,1491,1492,1507,1506,1716,1717,1732,1731
1309,1492,1493,1508,1507,1717,1718,1733,1732
1310,1493,1494,1509,1508,1718,1719,1734,1733
1311,1494,1495,1510,1509,1719,1720,1735,1734
1312,1495,1496,1511,1510,1720,1721,1736,1735
1313,1496,1497,1512,1511,1721,1722,1737,1736
1314,1497,1498,1513,1512,1722,1723,1738,1737
1315,1498,1499,1514,1513,1723,1724,1739,1738
1316,1499,1500,1515,1514,1724,1725,1740,1739
1317,1501,1502,1517,1516,1726,1727,1742,1741
1318,1502,1503,1518,1517,1727,1728,1743,1742
1319,1503,1504,1519,1518,1728,1729,1744,1743
1320,1504,1505,1520,1519,1729,1730,1745,1744
1321,1505,1506,1521,1520,1730,1731,1746,1745
1322,1506,1507,1522,1521,1731,1732,1747,1746
1323,1507,1508,1523,1522,1732,1733,1748,1747
1324,1508,1509,1524,1523,1733,1734,1749,1748
1325,1509,1510,1525,1524,1734,1735,1750,1749
1326,1510,1511,1526,1525,1735,1736,1751,1750
1327,1511,1512,1527,1526,1736,1737,1752,1751
1328,1512,1513,1528,1527,1737,1738,1753,1752
1329,1513,1514,1529,1528,1738,1739,1754,1753
1330,1514,1515,1530,1529,1739,1740,1755,1754
1331,1516,1517,1532,1531,1741,1742,1757,1756
1332,1517,1518,1533,1532,1742,1743,1758,1757
1333,1518,1519,1534,1533,1743,1744,1759,1758
1334,1519,1520,1535,1534,1744,1745,1760,1759
1335,1520,1521,1536,1535,1745,1746,1761,1760
1336,1521,1522,1537,1536,1746,1747,1762,1761
1337,1522,1523,1538,1537,1747,1748,1763,1762
1338,1523,1524,1539,1538,1748,1749,1764,1763
1339,1524,1525,1540,1539,1749,1750,1765,1764
1340,1525,1526,1541,1540,1750,1751,1766,1765
1341,1526,1527,1542,1541,1751,1752,1767,1766
1342,1527,1528,1543,1542,1752,1753,1768,1767
1343,1528,1529,1544,1543,1753,1754,1769,1768
1344,1529,1530,1545,1544,1754,1755,1770,1769
1345,1531,1532,1547,1546,1756,1757,1772,1771
1346,1532,1533,1548,1547,1757,1758,1773,1772
1347,1533,1534,1549,1548,1758,1759,1774,1773
1348,1534,1535,1550,1549,1759,1760,1775,1774
1349,1535,1536,1551,1550,1760,1761,1776,1775
1350,1536,1537,1552,1551,1761,1762,1777,1776
1351,1537,1538,1553,1552,1762,1763,1778,1777
1352,1538,1539,1554,1553,1763,1764,1779,1778
1353,1539,1540,1555,1554,1764,1765,1780,1779
1354,1540,1541,1556,1555,1765,1766,1781,1780
1355,1541,1542,1557,1556,1766,1767,1782,1781
1356,1542,1543,1558,1557,1767,1768,1783,1782
1357,1543,1544,1559,1558,1768,1769,1784,1783
1358,1544,1545,1560,1559,1769,1770,1785,1784
1359,1546,1547,1562,1561,1771,1772,1787,1786
1360,1547,1548,1563,1562,1772,1773,1788,1787
1361,1548,1549,1564,1563,1773,1774,1789,1788
1362,1549,1550,1565,1564,1774,1775,1790,1789
1363,1550,1551,1566,1565,1775,1776,1791,1790
1364,1551,1552,1567,1566,1776,1777,1792,1791
1365,1552,1553,1568,1567,1777,1778,1793,1792
1366,1553,1554,1569,1568,1778,1779,1794,1793
1367,1554,1555,1570,1569,1779,1780,1795,1794
1368,1555,1556,1571,1570,1780,1781,1796,1795
1369,1556,1557,1572,1571,1781,1782,1797,1796
1370,1557,1558,1573,1572,1782,1783,1798,1797
1371,1558,1559,1574,1573,1783,1784,1799,1798
1372,1559,1560,1575,1574,1784,1785,1800,1799
1373,1576,1577,1592,1591,1801,1802,1817,1816
1374,1577,1578,1593,1592,1802,1803,1818,1817
1375,1578,1579,1594,1593,1803,1804,1819,1818
1376,1579,1580,1595,1594,1804,1805,1820,1819
1377,1580,1581,1596,1595,1805,1806,1821,1820
1378,1581,1582,1597,1596,1806,1807,1822,1821
1379,1582,1583,1598,1597,1807,1808,1823,1822
1380,1583,1584,1599,1598,1808,1809,1824,1823
1381,1584,1585,1600,1599,1809,1810,1825,1824
1382,1585,1586,1601,1600,1810,1811,1826,1825
1383,1586,1587,1602,1601,1811,1812,1827,1826
1384,1587,1588,1603,1602,1812,1813,1828,1827
1385,1588,1589,1604,1603,1813,1814,1829,1828
1386,1589,1590,1605,1604,1814,1815,1830,1829
1387,1591,1592,1607,1606,1816,1817,1832,1831
1388,1592,1593,1608,1607,1817,1818,1833,1832
1389,1593,1594,1609,1608,1818,1819,1834,1833
1390,1594,1595,1610,1609,1819,1820,1835,1834
1391,1595,1596,1611,1610,1820,1821,1836,1835
1392,1596,1597,1612,1611,1821,1822,1837,1836
1393,1597,1598,1613,1612,1822,1823,1838,1837
1394,1598,1599,1614,1613,1823,1824,1839,1838
1395,1599,1600,1615,1614,1824,1825,1840,1839
1396,1600,1601,1616,1615,1825,1826,1841,1840
1397,1601,1602,1617,1616,1826,1827,1842,1841
1398,1602,1603,1618,1617,1827,1828,1843,1842
1399,1603,1604,1619,1618,1828,1829,1844,1843
1400,1604,1605,1620,1619,1829,1830,1845,1844
1401,1606,1607,1622,1621,1831,1832,1847,1846
1402,1607,1608,1623,1622,1832,1833,1848,1847
1403,1608,1609,1624,1623,1833,1834,1849,1848
1404,1609,1610,1625,1624,1834,1835,1850,1849
1405,1610,1611,1626,1625,1835,1836,1851,1850
1406,1611,1612,1627,1626,1836,1837,1852,1851
1407,1612,1613,1628,1627,1837,1838,1853,1852
1408,1613,1614,1629,1628,1838,1839,1854,1853
1409,1614,1615,1630,1629,1839,1840,1855,1854
1410,1615,1616,1631,1630,1840,1841,1856,1855
1411,1616,1617,1632,1631,1841,1842,1857,1856
1412,1617,1618,1633,1632,1842,1843,1858,1857
1413,1618,1619,1634,1633,1843,1844,1859,1858
1414,1619,1620,1635,1634,1844,1845,1860,1859
1415,1621,1622,1637,1636,1846,1847,1862,1861
1416,1622,1623,1638,1637,1847,1848,1863,1862
1417,1623,1624,1639,1638,1848,1849,1864,1863
1418,1624,1625,1640,1639,1849,1850,1865,1864
1419,1625,1626,1641,1640,1850,1851,1866,1865
1420,1626,1627,1642,1641,1851,1852,1867,1866
1421,1627,1628,1643,1642,1852,1853,1868,1867
1422,1628,1629,1644,1643,1853,1854,1869,1868
1423,1629,1630,1645,1644,1854,1855,1870,1869
1424,1630,1631,1646,1645,1855,1856,1871,1870
1425,1631,1632,1647,1646,1856,1857,1872,1871
1426,1632,1633,1648,1647,1857,1858,1873,1872
1427,1633,1634,1649,1648,1858,1859,1874,1873
1428,1634,1635,1650,1649,1859,1860,1875,1874
1429,1636,1637,1652,1651,1861,1862,1877,1876
1430,1637,1638,1653,1652,1862,1863,1878,1877
1431,1638,1639,1654,1653,1863,1864,1879,1878
1432,1639,1640,1655,1654,1864,1865,1880,1879
1433,1640,1641,1656,1655,1865,1866,1881,1880
1434,1641,1642,1657,1656,1866,1867,1882,1881
1435,1642,1643,1658,1657,1867,1868,1883,1882
1436,1643,1644,1659,1658,1868,1869,1884,1883
1437,1644,1645,1660,1659,1869,1870,1885,1884
1438,1645,1646,1661,1660,1870,1871,1886,1885
1439,1646,1647,1662,1661,1871,1872,1887,1886
1440,1647,1648,1663,1662,1872,1873,1888,1887
1441,1648,1649,1664,1663,1873,1874,1889,1888
1442,1649,1650,1665,1664,1874,1875,1890,1889
1443,1651,1652,1667,1666,1876,1877,1892,1891
1444,1652,1653,1668,1667,1877,1878,1893,1892
1445,1653,1654,1669,1668,1878,1879,1894,1893
1446,1654,1655,1670,1669,1879,1880,1895,1894
1447,1655,1656,1671,1670,1880,1881,1896,1895
1448,1656,1657,1672,1671,1881,1882,1897,1896
1449,1657,1658,1673,1672,1882,1883,1898,1897
1450,1658,1659,1674,1673,1883,1884,1899,1898
1451,1659,1660,1675,1674,1884,1885,1900,1899
1452,1660,1661,1676,1675,1885,1886,1901,1900
1453,1661,1662,1677,1676,1886,1887,1902,1901
1454,1662,1663,1678,1677,1887,1888,1903,1902
1455,1663,1664,1679,1678,1888,1889,1904,1903
1456,1664,1665,1680,1679,1889,1890,1905,1904
1457,1666,1667,1682,1681,1891,1892,1907,1906
1458,1667,1668,1683,1682,1892,1893,1908,1907
1459,1668,1669,1684,1683,1893,1894,1909,1908
1460,1669,1670,1685,1684,1894,1895,1910,1909
1461,1670,1671,1686,1685,1895,1896,1911,1910
1462,1671,1672,1687,1686,1896,1897,1912,1911
1463,1672,1673,1688,1687,1897,1898,1913,1912
1464,1673,1674,1689,1688,1898,1899,1914,1913
1465,1674,1675,1690,1689,1899,1900,1915,1914
1466,1675,1676,1691,1690,1900,1901,1916,1915
1467,1676,1677,1692,1691,1901,1902,1917,1916
1468,1677,1678,1693,1692,1902,1903,1918,1917
1469,1678,1679,1694,1693,1903,1904,1919,1918
1470,1679,1680,1695,1694,1904,1905,1920,1919
1471,1681,1682,1697,1696,1906,1907,1922,1921
1472,1682,1683,1698,1697,1907,1908,1923,1922
1473,1683,1684,1699,1698,1908,1909,1924,1923
1474,1684,1685,1700,1699,1909,1910,1925,1924
1475,1685,1686,1701,1700,1910,1911,1926,1925
1476,1686,1687,1702,1701,1911,1912,1927,1926
1477,1687,1688,1703,1702,1912,1913,1928,1927
1478,1688,1689,1704,1703,1913,1914,1929,1928
1479,1689,1690,1705,1704,1914,1915,1930,1929
1480,1690,1691,1706,1705,1915,1916,1931,1930
1481,1691,1692,1707,1706,1916,1917,1932,1931
1482,1692,1693,1708,1707,1917,1918,1933,1932
1483,1693,1694,1709,1708,1918,1919,1934,1933
1484,1694,1695,1710,1709,1919,1920,1935,1934
1485,1696,1697,1712,1711,1921,1922,1937,1936
1486,1697,1698,1713,1712,1922,1923,1938,1937
1487,1698,1699,1714,1713,1923,1924,1939,1938
1488,1699,1700,1715,1714,1924,1925,1940,1939
1489,1700,1701,1716,1715,1925,1926,1941,1940
1490,1701,1702,1717,1716,1926,1927,1942,1941
1491,1702,1703,1718,1717,1927,1928,1943,1942
1492,1703,1704,1719,1718,1928,1929,1944,1943
1493,1704,1705,1720,1719,1929,1930,1945,1944
1494,1705,1706,1721,1720,1930,1931,1946,1945
1495,1706,1707,1722,1721,1931,1932,1947,1946
1496,1707,1708,1723,1722,1932,1933,1948,1947
1497,1708,1709,1724,1723,1933,1934,1949,1948
1498,1709,1710,1725,1724,1934,1935,1950,1949
1499,1711,1712,1727,1726,1936,1937,1952,1951
1500,1712,1713,1728,1727,1937,1938,1953,1952
1501,1713,1714,1729,1728,1938,1939,1954,1953
1502,1714,1715,1730,1729,1939,1940,1955,1954
1503,1715,1716,1731,1730,1940,1941,1956,1955
1504,1716,1717,1732,1731,1941,1942,1957,1956
1505,1717,1718,1733,1732,1942,1943,1958,1957
1506,1718,1719,1734,1733,1943,1944,1959,1958
1507,1719,1720,1735,1734,1944,1945,1960,1959
1508,1720,1721,1736,1735,1945,1946,1961,1960
1509,1721,1722,1737,1736,1946,1947,1962,1961
1510,1722,1723,1738,1737,1947,1948,1963,1962
1511,1723,1724,1739,1738,1948,1949,1964,1963
1512,1724,1725,1740,1739,1949,1950,1965,1964
1513,1726,1727,1742,1741,1951,1952,1967,1966
1514,1727,1728,1743,1742,1952,1953,1968,1967
1515,1728,1729,1744,1743,1953,1954,1969,1968
1516,1729,1730,1745,1744,1954,1955,1970,1969
1517,1730,1731,1746,1745,1955,1956,1971,1970
1518,1731,1732,1747,1746,1956,1957,1972,1971
1519,1732,1733,1748,1747,1957,1958,1973,1972
1520,1733,1734,1749,1748,1958,1959,1974,1973
1521,1734,1735,1750,1749,1959,1960,1975,1974
1522,1735,1736,1751,1750,1960,1961,1976,1975
1523,1736,1737,1752,1751,1961,1962,1977,1976
1524,1737,1738,1753,1752,1962,1963,1978,1977
1525,1738,1739,1754,1753,1963,1964,1979,1978
1526,1739,1740,1755,1754,1964,1965,1980,1979
1527,1741,1742,1757,1756,1966,1967,1982,1981
1528,1742,1743,1758,1757,1967,1968,1983,1982
1529,1743,1744,1759,1758,1968,1969,1984,1983
1530,1744,1745,1760,1759,1969,1970,1985,1984
1531,1745,1746,1761,1760,1970,1971,1986,1985
1532,1746,1747,1762,1761,1971,1972,1987,1986
1533,1747,1748,1763,1762,1972,1973,1988,1987
1534,1748,1749,1764,1763,1973,1974,1989,1988
1535,1749,1750,1765,1764,1974,1975,1990,1989
1536,1750,1751,1766,1765,1975,1976,1991,1990
1537,1751,1752,1767,1766,1976,1977,1992,1991
1538,1752,1753,1768,1767,1977,1978,1993,1992
1539,1753,1754,1769,1768,1978,1979,1994,1993
1540,1754,1755,1770,1769,1979,1980,1995,1994
1541,1756,1757,1772,1771,1981,1982,1997,1996
1542,1757,1758,1773,1772,1982,1983,1998,1997
1543,1758,1759,1774,1773,1983,1984,1999,1998
1544,1759,1760,1775,1774,1984,1985,2000,1999
1545,1760,1761,1776,1775,1985,1986,2001,2000
1546,1761,1762,1777,1776,1986,1987,2002,2001
1547,1762,1763,1778,1777,1987,1988,2003,2002
1548,1763,1764,1779,1778,1988,1989,2004,2003
1549,1764,1765,1780,1779,1989,1990,2005,2004
1550,1765,1766,1781,1780,1990,1991,2006,2005
1551,1766,1767,1782,1781,1991,1992,2007,2006
1552,1767,1768,1783,1782,1992,1993,2008,2007
1553,1768,1769,1784,1783,1993,1994,2009,2008
1554,1769,1770,1785,1784,1994,1995,2010,2009
1555,1771,1772,1787,1786,1996,1997,2012,2011
1556,1772,1773,1788,1787,1997,1998,2013,2012
1557,1773,1774,1789,1788,1998,1999,2014,2013
1558,1774,1775,1790,1789,1999,2000,2015,2014
1559,1775,1776,1791,1790,2000,2001,2016,2015
1560,1776,1777,1792,1791,2001,2002,2017,2016
1561,1777,1778,1793,1792,2002,2003,2018,2017
1562,1778,1779,1794,1793,2003,2004,2019,2018
1563,1779,1780,1795,1794,2004,2005,2020,2019
1564,1780,1781,1796,1795,2005,2006,2021,2020
1565,1781,1782,1797,1796,2006,2007,2022,2021
1566,1782,1783,1798,1797,2007,2008,2023,2022
1567,1783,1784,1799,1798,2008,2009,2024,2023
1568,1784,1785,1800,1799,2009,2010,2025,2024
1569,1801,1802,1817,1816,2026,2027,2042,2041
1570,1802,1803,1818,1817,2027,2028,2043,2042
1571,1803,1804,1819,1818,2028,2029,2044,2043
1572,1804,1805,1820,1819,2029,2030,2045,2044
1573,1805,1806,1821,1820,2030,2031,2046,2045
1574,1806,1807,1822,1821,2031,2032,2047,2046
1575,1807,1808,1823,1822,2032,2033,2048,2047
1576,1808,1809,1824,1823,2033,2034,2049,2048
1577,1809,1810,1825,1824,2034,2035,2050,2049
1578,1810,1811,1826,1825,2035,2036,2051,2050
1579,1811,1812,1827,1826,2036,2037,2052,2051
1580,1812,1813,1828,1827,2037,2038,2053,2052
1581,1813,1814,1829,1828,2038,2039,2054,2053
1582,1814,1815,1830,1829,2039,2040,2055,2054
1583,1816,1817,1832,1831,2041,2042,2057,2056
1584,1817,1818,1833,1832,2042,2043,2058,2057
1585,1818,1819,1834,1833,2043,2044,2059,2058
1586,1819,1820,1835,1834,2044,2045,2060,2059
1587,1820,1821,1836,1835,2045,2046,2061,2060
1588,1821,1822,1837,1836,2046,2047,2062,2061
1589,1822,1823,1838,1837,2047,2048,2063,2062
1590,1823,1824,1839,1838,2048,2049,2064,2063
1591,1824,1825,1840,1839,2049,2050,2065,2064
1592,1825,1826,1841,1840,2050,2051,2066,2065
1593,1826,1827,1842,1841,2051,2052,2067,2066
1594,1827,1828,1843,1842,2052,2053,2068,2067
1595,1828,1829,1844,1843,2053,2054,2069,2068
1596,1829,1830,1845,1844,2054,2055,2070,2069
1597,1831,1832,1847,1846,2056,2057,2072,2071
1598,1832,1833,1848,1847,2057,2058,2073,2072
1599,1833,1834,1849,1848,2058,2059,2074,2073
1600,1834,1835,1850,1849,2059,2060,2075,2074
1601,1835,1836,1851,1850,2060,2061,2076,2075
1602,1836,1837,1852,1851,2061,2062,2077,2076
1603,1837,1838,1853,1852,2062,2063,2078,2077
1604,1838,1839,1854,1853,2063,2064,2079,2078
1605,1839,1840,1855,1854,2064,2065,2080,2079
1606,1840,1841,1856,1855,2065,2066,2081,2080
1607,1841,1842,1857,1856,2066,2067,2082,2081
1608,1842,1843,1858,1857,2067,2068,2083,2082
1609,1843,1844,1859,1858,2068,2069,2084,2083
1610,1844,1845,1860,1859,2069,2070,2085,2084
1611,1846,1847,1862,1861,2071,2072,2087,2086
1612,1847,1848,1863,1862,2072,2073,2088,2087
1613,1848,1849,1864,1863,2073,2074,2089,2088
1614,1849,1850,1865,1864,2074,2075,2090,2089
1615,1850,1851,1866,1865,2075,2076,2091,2090
1616,1851,1852,1867,1866,2076,2077,2092,2091
1617,1852,1853,1868,1867,2077,2078,2093,2092
1618,1853,1854,1869,1868,2078,2079,2094,2093
1619,1854,1855,1870,1869,2079,2080,2095,2094
1620,1855,1856,1871,1870,2080,2081,2096,2095
1621,1856,1857,1872,1871,2081,2082,2097,2096
1622,1857,1858,1873,1872,2082,2083,2098,2097
1623,1858,1859,1874,1873,2083,2084,2099,2098
1624,1859,1860,1875,1874,2084,2085,2100,2099
1625,1861,1862,1877,1876,2086,2087,2102,2101
1626,1862,1863,1878,1877,2087,2088,2103,2102
1627,1863,1864,1879,1878,2088,2089,2104,2103
1628,1864,1865,1880,1879,2089,2090,2105,2104
1629,1865,1866,1881,1880,2090,2091,2106,2105
1630,1866,1867,1882,1881,2091,2092,2107,2106
1631,1867,1868,1883,1882,2092,2093,2108,2107
1632,1868,1869,1884,1883,2093,2094,2109,2108
1633,1869,1870,1885,1884,2094,2095,2110,2109
1634,1870,1871,1886,1885,2095,2096,2111,2110
1635,1871,1872,1887,1886,2096,2097,2112,2111
1636,1872,1873,1888,1887,2097,2098,2113,2112
1637,1873,1874,1889,1888,2098,2099,2114,2113
1638,1874,1875,1890,1889,2099,2100,2115,2114
1639,1876,1877,1892,1891,2101,2102,2117,2116
1640,1877,1878,1893,1892,2102,2103,2118,2117
1641,1878,1879,1894,1893,2103,2104,2119,2118
1642,1879,1880,1895,1894,2104,2105,2120,2119
1643,1880,1881,1896,1895,2105,2106,2121,2120
1644,1881,1882,1897,1896,2106,2107,2122,2121
1645,1882,1883,1898,1897,2107,2108,2123,2122
1646,1883,1884,1899,1898,2108,2109,2124,2123
1647,1884,1885,1900,1899,2109,2110,2125,2124
1648,1885,1886,1901,1900,2110,2111,2126,2125
1649,1886,1887,1902,1901,2111,2112,2127,2126
1650,1887,1888,1903,1902,2112,2113,2128,2127
1651,1888,1889,1904,1903,2113,2114,2129,2128
1652,1889,1890,1905,1904,2114,2115,2130,2129
1653,1891,1892,1907,1906,2116,2117,2132,2131
1654,1892,1893,1908,1907,2117,2118,2133,2132
1655,1893,1894,1909,1908,2118,2119,2134,2133
1656,1894,1895,1910,1909,2119,2120,2135,2134
1657,1895,1896,1911,1910,2120,2121,2136,2135
1658,1896,1897,1912,1911,2121,2122,2137,2136
1659,1897,1898,1913,1912,2122,2123,2138,2137
1660,1898,1899,1914,1913,2123,2124,2139,2138
1661,1899,1900,1915,1914,2124,2125,2140,2139
1662,1900,1901,1916,1915,2125,2126,2141,2140
1663,1901,1902,1917,1916,2126,2127,2142,2141
1664,1902,1903,1918,1917,2127,2128,2143,2142
1665,1903,1904,1919,1918,2128,2129,2144,2143
1666,1904,1905,1920,1919,2129,2130,2145,2144
1667,1906,1907,1922,1921,2131,2132,2147,2146
1668,1907,1908,1923,1922,2132,2133,2148,2147
1669,1908,1909,1924,1923,2133,2134,2149,2148
1670,1909,1910,1925,1924,2134,2135,2150,2149
1671,1910,1911,1926,1925,2135,2136,2151,2150
1672,1911,1912,1927,1926,2136,2137,2152,2151
1673,1912,1913,1928,1927,2137,2138,2153,2152
1674,1913,1914,1929,1928,2138,2139,2154,2153
1675,1914,1915,1930,1929,2139,2140,2155,2154
1676,1915,1916,1931,1930,2140,2141,2156,2155
1677,1916,1917,1932,1931,2141,2142,2157,2156
1678,1917,1918,1933,1932,2142,2143,2158,2157
1679,1918,1919,1934,1933,2143,2144,2159,2158
1680,1919,1920,1935,1934,2144,2145,2160,2159
1681,1921,1922,1937,1936,2146,2147,2162,2161
1682,1922,1923,1938,1937,2147,2148,2163,2162
1683,1923,1924,1939,1938,2148,2149,2164,2163
1684,1924,1925,1940,1939,2149,2150,2165,2164
1685,1925,1926,1941,1940,2150,2151,2166,2165
1686,1926,1927,1942,1941,2151,2152,2167,2166
1687,1927,1928,1943,1942,2152,2153,2168,2167
1688,1928,1929,1944,1943,2153,2154,2169,2168
1689,1929,1930,1945,1944,2154,2155,2170,2169
1690,1930,1931,1946,1945,2155,2156,2171,2170
1691,1931,1932,1947,1946,2156,2157,2172,2171
1692,1932,1933,1948,1947,2157,2158,2173,2172
1693,1933,1934,1949,1948,2158,2159,2174,2173
1694,1934,1935,1950,1949,2159,2160,2175,2174
1695,1936,1937,1952,1951,2161,2162,2177,2176
1696,1937,1938,1953,1952,2162,2163,2178,2177
1697,1938,1939,1954,1953,2163,2164,2179,2178
1698,1939,1940,1955,1954,2164,2165,2180,2179
1699,1940,1941,1956,1955,2165,2166,2181,2180
1700,1941,1942,1957,1956,2166,2167,2182,2181
1701,1942,1943,1958,1957,2167,2168,2183,2182
1702,1943,1944,1959,1958,2168,2169,2184,2183
1703,1944,1945,1960,1959,2169,2170,2185,2184
1704,1945,1946,1961,1960,2170,2171,2186,2185
1705,1946,1947,1962,1961,2171,2172,2187,2186
1706,1947,1948,1963,1962,2172,2173,2188,2187
1707,1948,1949,1964,1963,2173,2174,2189,2188
1708,1949,1950,1965,1964,2174,2175,2190,2189
1709,1951,1952,1967,1966,2176,2177,2192,2191
1710,1952,1953,1968,1967,2177,2178,2193,2192
1711,1953,1954,1969,1968,2178,2179,2194,2193
1712,1954,1955,1970,1969,2179,2180,2195,2194
1713,1955,1956,1971,1970,2180,2181,2196,2195
1714,1956,1957,1972,1971,2181,2182,2197,2196
1715,1957,1958,1973,1972,2182,2183,2198,2197
1716,1958,1959,1974,1973,2183,2184,2199,2198
1717,1959,1960,1975,1974,2184,2185,2200,2199
1718,1960,1961,1976,1975,2185,2186,2201,2200
1719,1961,1962,1977,1976,2186,2187,2202,2201
1720,1962,1963,1978,1977,2187,2188,2203,2202
1721,1963,1964,1979,1978,2188,2189,2204,2203
1722,1964,1965,1980,1979,2189,2190,2205,2204
1723,1966,1967,1982,1981,2191,2192,2207,2206
1724,1967,1968,1983,1982,2192,2193,2208,2207
1725,1968,1969,1984,1983,2193,2194,2209,2208
1726,1969,1970,1985,1984,2194,2195,2210,2209
1727,1970,1971,1986,1985,2195,2196,2211,2210
1728,1971,1972,1987,1986,2196,2197,2212,2211
1729,1972,1973,1988,1987,2197,2198,2213,2212
1730,1973,1974,1989,1988,2198,2199,2214,2213
1731,1974,1975,1990,1989,2199,2200,2215,2214
1732,1975,1976,1991,1990,2200,2201,2216,2215
1733,1976,1977,1992,1991,2201,2202,2217,2216
1734,1977,1978,1993,1992,2202,2203,2218,2217
1735,1978,1979,1994,1993,2203,2204,2219,2218
1736,1979,1980,1995,1994,2204,2205,2220,2219
1737,1981,1982,1997,1996,2206,2207,2222,2221
1738,1982,1983,1998,1997,2207,2208,2223,2222
1739,1983,1984,1999,1998,2208,2209,2224,2223
1740,1984,1985,2000,1999,2209,2210,2225,2224
1741,1985,1986,2001,2000,2210,2211,2226,2225
1742,1986,1987,2002,2001,2211,2212,2227,2226
1743,1987,1988,2003,2002,2212,2213,2228,2227
1744,1988,1989,2004,2003,2213,2214,2229,2228
1745,1989,1990,2005,2004,2214,2215,2230,2229
1746,1990,1991,2006,2005,2215,2216,2231,2230
1747,1991,1992,2007,2006,2216,2217,2232,2231
1748,1992,1993,2008,2007,2217,2218,2233,2232
1749,1993,1994,2009,2008,2218,2219,2234,2233
1750,1994,1995,2010,2009,2219,2220,2235,2234
1751,1996,1997,2012,2011,2221,2222,2237,2236
1752,1997,1998,2013,2012,2222,2223,2238,2237
1753,1998,1999,2014,2013,2223,2224,2239,2238
1754,1999,2000,2015,2014,2224,2225,2240,2239
1755,2000,2001,2016,2015,2225,2226,2241,2240
1756,2001,2002,2017,2016,2226,2227,2242,2241
1757,2002,2003,2018,2017,2227,2228,2243,2242
1758,2003,2004,2019,2018,2228,2229,2244,2243
1759,2004,2005,2020,2019,2229,2230,2245,2244
1760,2005,2006,2021,2020,2230,2231,2246,2245
1761,2006,2007,2022,2021,2231,2232,2247,2246
1762,2007,2008,2023,2022,2232,2233,2248,2247
1763,2008,2009,2024,2023,2233,2234,2249,2248
1764,2009,2010,2025,2024,2234,2235,2250,2249
1765,2026,2027,2042,2041,2251,2252,2267,2266
1766,2027,2028,2043,2042,2252,2253,2268,2267
1767,2028,2029,2044,2043,2253,2254,2269,2268
1768,2029,2030,2045,2044,2254,2255,2270,2269
1769,2030,2031,2046,2045,2255,2256,2271,2270
1770,2031,2032,2047,2046,2256,2257,2272,2271
1771,2032,2033,2048,2047,2257,2258,2273,2272
1772,2033,2034,2049,2048,2258,2259,2274,2273
1773,2034,2035,2050,2049,2259,2260,2275,2274
1774,2035,2036,2051,2050,2260,2261,2276,2275
1775,2036,2037,2052,2051,2261,2262,2277,2276
1776,2037,2038,2053,2052,2262,2263,2278,2277
1777,2038,2039,2054,2053,2263,2264,2279,2278
1778,2039,2040,2055,2054,2264,2265,2280,2279
1779,2041,2042,2057,2056,2266,2267,2282,2281
1780,2042,2043,2058,2057,2267,2268,2283,2282
1781,2043,2044,2059,2058,2268,2269,2284,2283
1782,2044,2045,2060,2059,2269,2270,2285,2284
1783,2045,2046,2061,2060,2270,2271,2286,2285
1784,2046,2047,2062,2061,2271,2272,2287,2286
1785,2047,2048,2063,2062,2272,2273,2288,2287
1786,2048,2049,2064,2063,2273,2274,2289,2288
1787,2049,2050,2065,2064,2274,2275,2290,2289
1788,2050,2051,2066,2065,2275,2276,2291,2290
1789,2051,2052,2067,2066,2276,2277,2292,2291
1790,2052,2053,2068,2067,2277,2278,2293,2292
1791,2053,2054,2069,2068,2278,2279,2294,2293
1792,2054,2055,2070,2069,2279,2280,2295,2294
1793,2056,2057,2072,2071,2281,2282,2297,2296
1794,2057,2058,2073,2072,2282,2283,2298,2297
1795,2058,2059,2074,2073,2283,2284,2299,2298
1796,2059,2060,2075,2074,2284,2285,2300,2299
1797,2060,2061,2076,2075,2285,2286,2301,2300
1798,2061,2062,2077,2076,2286,2287,2302,2301
1799,2062,2063,2078,2077,2287,2288,2303,2302
1800,2063,2064,2079,2078,2288,2289,2304,2303
1801,2064,2065,2080,2079,2289,2290,2305,2304
1802,2065,2066,2081,2080,2290,2291,2306,2305
1803,2066,2067,2082,2081,2291,2292,2307,2306
1804,2067,2068,2083,2082,2292,2293,2308,2307
1805,2068,2069,2084,2083,2293,2294,2309,2308
1806,2069,2070,2085,2084,2294,2295,2310,2309
1807,2071,2072,2087,2086,2296,2297,2312,2311
1808,2072,2073,2088,2087,2297,2298,2313,2312
1809,2073,2074,2089,2088,2298,2299,2314,2313
1810,2074,2075,2090,2089,2299,2300,2315,2314
1811,2075,2076,2091,2090,2300,2301,2316,2315
1812,2076,2077,2092,2091,2301,2302,2317,2316
1813,2077,2078,2093,2092,2302,2303,2318,2317
1814,2078,2079,2094,2093,2303,2304,2319,2318
1815,2079,2080,2095,2094,2304,2305,2320,2319
1816,2080,2081,2096,2095,2305,2306,2321,2320
1817,2081,2082,2097,2096,2306,2307,2322,2321
1818,2082,2083,2098,2097,2307,2308,2323,2322
1819,2083,2084,2099,2098,2308,2309,2324,2323
1820,2084,2085,2100,2099,2309,2310,2325,2324
1821,2086,2087,2102,2101,2311,2312,2327,2326
1822,2087,2088,2103,2102,2312,2313,2328,2327
1823,2088,2089,2104,2103,2313,2314,2329,2328
1824,2089,2090,2105,2104,2314,2315,2330,2329
1825,2090,2091,2106,2105,2315,2316,2331,2330
1826,2091,2092,2107,2106,2316,2317,2332,2331
1827,2092,2093,2108,2107,2317,2318,2333,2332
1828,2093,2094,2109,2108,2318,2319,2334,2333
1829,2094,2095,2110,2109,2319,2320,2335,2334
1830,2095,2096,2111,2110,2320,2321,2336,2335
1831,2096,2097,2112,2111,2321,2322,2337,2336
1832,2097,2098,2113,2112,2322,2323,2338,2337
1833,2098,2099,2114,2113,2323,2324,2339,2338
1834,2099,2100,2115,2114,2324,2325,2340,2339
1835,2101,2102,2117,2116,2326,2327,2342,2341
1836,2102,2103,2118,2117,2327,2328,2343,2342
1837,2103,2104,2119,2118,2328,2329,2344,2343
1838,2104,2105,2120,2119,2329,2330,2345,2344
1839,2105,2106,2121,2120,2330,2331,2346,2345
1840,2106,2107,2122,2121,2331,2332,2347,2346
1841,2107,2108,2123,2122,2332,2333,2348,2347
1842,2108,2109,2124,2123,2333,2334,2349,2348
1843,2109,2110,2125,2124,2334,2335,2350,2349
1844,2110,2111,2126,2125,2335,2336,2351,2350
1845,2111,2112,2127,2126,2336,2337,2352,2351
1846,2112,2113,2128,2127,2337,2338,2353,2352
1847,2113,2114,2129,2128,2338,2339,2354,2353
1848,2114,2115,2130,2129,2339,2340,2355,2354
1849,2116,2117,2132,2131,2341,2342,2357,2356
1850,2117,2118,2133,2132,2342,2343,2358,2357
1851,2118,2119,2134,2133,2343,2344,2359,2358
1852,2119,2120,2135,2134,2344,2345,2360,2359
1853,2120,2121,2136,2135,2345,2346,2361,2360
1854,2121,2122,2137,2136,2346,2347,2362,2361
1855,2122,2123,2138,2137,2347,2348,2363,2362
1856,2123,2124,2139,2138,2348,2349,2364,2363
1857,2124,2125,2140,2139,2349,2350,2365,2364
1858,2125,2126,2141,2140,2350,2351,2366,2365
1859,2126,2127,2142,2141,2351,2352,2367,2366
1860,2127,2128,2143,2142,2352,2353,2368,2367
1861,2128,2129,2144,2143,2353,2354,2369,2368
1862,2129,2130,2145,2144,2354,2355,2370,2369
1863,2131,2132,2147,2146,2356,2357,2372,2371
1864,2132,2133,2148,2147,2357,2358,2373,2372
1865,2133,2134,2149,2148,2358,2359,2374,2373
1866,2134,2135,2150,2149,2359,2360,2375,2374
1867,2135,2136,2151,2150,2360,2361,2376,2375
1868,2136,2137,2152,2151,2361,2362,2377,2376
1869,2137,2138,2153,2152,2362,2363,2378,2377
1870,2138,2139,2154,2153,2363,2364,2379,2378
1871,2139,2140,2155,2154,2364,2365,2380,2379
1872,2140,2141,2156,2155,2365,2366,2381,2380
1873,2141,2142,2157,2156,2366,2367,2382,2381
1874,2142,2143,2158,2157,2367,2368,2383,2382
1875,2143,2144,2159,2158,2368,2369,2384,2383
1876,2144,2145,2160,2159,2369,2370,2385,2384
1877,2146,2147,2162,2161,2371,2372,2387,2386
1878,2147,2148,2163,2162,2372,2373,2388,2387
1879,2148,2149,2164,2163,2373,2374,2389,2388
1880,2149,2150,2165,2164,2374,2375,2390,2389
1881,2150,2151,2166,2165,2375,2376,2391,2390
1882,2151,2152,2167,2166,2376,2377,2392,2391
1883,2152,2153,2168,2167,2377,2378,2393,2392
1884,2153,2154,2169,2168,2378,2379,2394,2393
1885,2154,2155,2170,2169,2379,2380,2395,2394
1886,2155,2156,2171,2170,2380,2381,2396,2395
1887,2156,2157,2172,2171,2381,2382,2397,2396
1888,2157,2158,2173,2172,2382,2383,2398,2397
1889,2158,2159,2174,2173,2383,2384,2399,2398
1890,2159,2160,2175,2174,2384,2385,2400,2399
1891,2161,2162,2177,2176,2386,2387,2402,2401
1892,2162,2163,2178,2177,2387,2388,2403,2402
1893,2163,2164,2179,2178,2388,2389,2404,2403
1894,2164,2165,2180,2179,2389,2390,2405,2404
1895,2165,2166,2181,2180,2390,2391,2406,2405
1896,2166,2167,2182,2181,2391,2392,2407,2406
1897,2167,2168,2183,2182,2392,2393,2408,2407
1898,2168,2169,2184,2183,2393,2394,2409,2408
1899,2169,2170,2185,2184,2394,2395,2410,2409
1900,2170,2171,2186,2185,2395,2396,2411,2410
1901,2171,2172,2187,2186,2396,2397,2412,2411
1902,2172,2173,2188,2187,2397,2398,2413,2412
1903,2173,2174,2189,2188,2398,2399,2414,2413
1904,2174,2175,2190,2189,2399,2400,2415,2414
1905,2176,2177,2192,2191,2401,2402,2417,2416
1906,2177,2178,2193,2192,2402,2403,2418,2417
1907,2178,2179,2194,2193,2403,2404,2419,2418
1908,2179,2180,2195,2194,2404,2405,2420,2419
1909,2180,2181,2196,2195,2405,2406,2421,2420
1910,2181,2182,2197,2196,2406,2407,2422,2421
1911,2182,2183,2198,2197,2407,2408,2423,2422
1912,2183,2184,2199,2198,2408,2409,2424,2423
1913,2184,2185,2200,2199,2409,2410,2425,2424
1914,2185,2186,2201,2200,2410,2411,2426,2425
1915,2186,2187,2202,2201,2411,2412,2427,2426
1916,2187,2188,2203,2202,2412,2413,2428,2427
1917,2188,2189,2204,2203,2413,2414,2429,2428
1918,2189,2190,2205,2204,2414,2415,2430,2429
1919,2191,2192,2207,2206,2416,2417,2432,2431
1920,2192,2193,2208,2207,2417,2418,2433,2432
1921,2193,2194,2209,2208,2418,2419,2434,2433
1922,2194,2195,2210,2209,2419,2420,2435,2434
1923,2195,2196,2211,2210,2420,2421,2436,2435
1924,2196,2197,2212,2211,2421,2422,2437,2436
1925,2197,2198,2213,2212,2422,2423,2438,2437
1926,2198,2199,2214,2213,2423,2424,2439,2438
1927,2199,2200,2215,2214,2424,2425,2440,2439
1928,2200,2201,2216,2215,2425,2426,2441,2440
1929,2201,2202,2217,2216,2426,2427,2442,2441
1930,2202,2203,2218,2217,2427,2428,2443,2442
1931,2203,2204,2219,2218,2428,2429,2444,2443
1932,2204,2205,2220,2219,2429,2430,2445,2444
1933,2206,2207,2222,2221,2431,2432,2447,2446
1934,2207,2208,2223,2222,2432,2433,2448,2447
1935,2208,2209,2224,2223,2433,2434,2449,2448
1936,2209,2210,2225,2224,2434,2435,2450,2449
1937,2210,2211,2226,2225,2435,2436,2451,2450
1938,2211,2212,2227,2226,2436,2437,2452,2451
1939,2212,2213,2228,2227,2437,2438,2453,2452
1940,2213,2214,2229,2228,2438,2439,2454,2453
1941,2214,2215,2230,2229,2439,2440,2455,2454
1942,2215,2216,2231,2230,2440,2441,2456,2455
1943,2216,2217,2232,2231,2441,2442,2457,2456
1944,2217,2218,2233,2232,2442,2443,2458,2457
1945,2218,2219,2234,2233,2443,2444,2459,2458
1946,2219,2220,2235,2234,2444,2445,2460,2459
1947,2221,2222,2237,2236,2446,2447,2462,2461
1948,2222,2223,2238,2237,2447,2448,2463,2462
1949,2223,2224,2239,2238,2448,2449,2464,2463
1950,2224,2225,2240,2239,2449,2450,2465,2464
1951,2225,2226,2241,2240,2450,2451,2466,2465
1952,2226,2227,2242,2241,2451,2452,2467,2466
1953,2227,2228,2243,2242,2452,2453,2468,2467
1954,2228,2229,2244,2243,2453,2454,2469,2468
1955,2229,2230,2245,2244,2454,2455,2470,2469
1956,2230,2231,2246,2245,2455,2456,2471,2470
1957,2231,2232,2247,2246,2456,2457,2472,2471
1958,2232,2233,2248,2247,2457,2458,2473,2472
1959,2233,2234,2249,2248,2458,2459,2474,2473
1960,2234,2235,2250,2249,2459,2460,2475,2474
1961,2251,2252,2267,2266,2476,2477,2492,2491
1962,2252,2253,2268,2267,2477,2478,2493,2492
1963,2253,2254,2269,2268,2478,2479,2494,2493
1964,2254,2255,2270,2269,2479,2480,2495,2494
1965,2255,2256,2271,2270,2480,2481,2496,2495
1966,2256,2257,2272,2271,2481,2482,2497,2496
1967,2257,2258,2273,2272,2482,2483,2498,2497
1968,2258,2259,2274,2273,2483,2484,2499,2498
1969,2259,2260,2275,2274,2484,2485,2500,2499
1970,2260,2261,2276,2275,2485,2486,2501,2500
1971,2261,2262,2277,2276,2486,2487,2502,2501
1972,2262,2263,2278,2277,2487,2488,2503,2502
1973,2263,2264,2279,2278,2488,2489,2504,2503
1974,2264,2265,2280,2279,2489,2490,2505,2504
1975,2266,2267,2282,2281,2491,2492,2507,2506
1976,2267,2268,2283,2282,2492,2493,2508,2507
1977,2268,2269,2284,2283,2493,2494,2509,2508
1978,2269,2270,2285,2284,2494,2495,2510,2509
1979,2270,2271,2286,2285,2495,2496,2511,2510
1980,2271,2272,2287,2286,2496,2497,2512,2511
1981,2272,2273,2288,2287,2497,2498,2513,2512
1982,2273,2274,2289,2288,2498,2499,2514,2513
1983,2274,2275,2290,2289,2499,2500,2515,2514
1984,2275,2276,2291,2290,2500,2501,2516,2515
1985,2276,2277,2292,2291,2501,2502,2517,2516
1986,2277,2278,2293,2292,2502,2503,2518,2517
1987,2278,2279,2294,2293,2503,2504,2519,2518
1988,2279,2280,2295,2294,2504,2505,2520,2519
1989,2281,2282,2297,2296,2506,2507,2522,2521
1990,2282,2283,2298,2297,2507,2508,2523,2522
1991,2283,2284,2299,2298,2508,2509,2524,2523
1992,2284,2285,2300,2299,2509,2510,2525,2524
1993,2285,2286,2301,2300,2510,2511,2526,2525
1994,2286,2287,2302,2301,2511,2512,2527,2526
1995,2287,2288,2303,2302,2512,2513,2528,2527
1996,2288,2289,2304,2303,2513,2514,2529,2528
1997,2289,2290,2305,2304,2514,2515,2530,2529
1998,2290,2291,2306,2305,2515,2516,2531,2530
1999,2291,2292,2307,2306,2516,2517,2532,2531
2000,2292,2293,2308,2307,2517,2518,2533,2532
2001,2293,2294,2309,2308,2518,2519,2534,2533
2002,2294,2295,2310,2309,2519,2520,2535,2534
2003,2296,2297,2312,2311,2521,2522,2537,2536
2004,2297,2298,2313,2312,2522,2523,2538,2537
2005,2298,2299,2314,2313,2523,2524,2539,2538
2006,2299,2300,2315,2314,2524,2525,2540,2539
2007,2300,2301,2316,2315,2525,2526,2541,2540
2008,2301,2302,2317,2316,2526,2527,2542,2541
2009,2302,2303,2318,2317,2527,2528,2543,2542
2010,2303,2304,2319,2318,2528,2529,2544,2543
2011,2304,2305,2320,2319,2529,2530,2545,2544
2012,2305,2306,2321,2320,2530,2531,2546,2545
2013,2306,2307,2322,2321,2531,2532,2547,2546
2014,2307,2308,2323,2322,2532,2533,2548,2547
2015,2308,2309,2324,2323,2533,2534,2549,2548
2016,2309,2310,2325,2324,2534,2535,2550,2549
2017,2311,2312,2327,2326,2536,2537,2552,2551
2018,2312,2313,2328,2327,2537,2538,2553,2552
2019,2313,2314,2329,2328,2538,2539,2554,2553
2020,2314,2315,2330,2329,2539,2540,2555,2554
2021,2315,2316,2331,2330,2540,2541,2556,2555
2022,2316,2317,2332,2331,2541,2542,2557,2556
2023,2317,2318,2333,2332,2542,2543,2558,2557
2024,2318,2319,2334,2333,2543,2544,2559,2558
2025,2319,2320,2335,2334,2544,2545,2560,2559
2026,2320,2321,2336,2335,2545,2546,2561,2560
2027,2321,2322,2337,2336,2546,2547,2562,2561
2028,2322,2323,2338,2337,2547,2548,2563,2562
2029,2323,2324,2339,2338,2548,2549,2564,2563
2030,2324,2325,2340,2339,2549,2550,2565,2564
2031,2326,2327,2342,2341,2551,2552,2567,2566
2032,2327,2328,2343,2342,2552,2553,2568,2567
2033,2328,2329,2344,2343,2553,2554,2569,2568
2034,2329,2330,2345,2344,2554,2555,2570,2569
2035,2330,2331,2346,2345,2555,2556,2571,2570
2036,2331,2332,2347,2346,2556,2557,2572,2571
2037,2332,2333,2348,2347,2557,2558,2573,2572
2038,2333,2334,2349,2348,2558,2559,2574,2573
2039,2334,2335,2350,2349,2559,2560,2575,2574
2040,2335,2336,2351,2350,2560,2561,2576,2575
2041,2336,2337,2352,2351,2561,2562,2577,2576
2042,2337,2338,2353,2352,2562,2563,2578,2577
2043,2338,2339,2354,2353,2563,2564,2579,2578
2044,2339,2340,2355,2354,2564,2565,2580,2579
2045,2341,2342,2357,2356,2566,2567,2582,2581
2046,2342,2343,2358,2357,2567,2568,2583,2582
2047,2343,2344,2359,2358,2568,2569,2584,2583
2048,2344,2345,2360,2359,2569,2570,2585,2584
2049,2345,2346,2361,2360,2570,2571,2586,2585
2050,2346,2347,2362,2361,2571,2572,2587,2586
2051,2347,2348,2363,2362,2572,2573,2588,2587
2052,2348,2349,2364,2363,2573,2574,2589,2588
2053,2349,2350,2365,2364,2574,2575,2590,2589
2054,2350,2351,2366,2365,2575,2576,2591,2590
2055,2351,2352,2367,2366,2576,2577,2592,2591
2056,2352,2353,2368,2367,2577,2578,2593,2592
2057,2353,2354,2369,2368,2578,2579,2594,2593
2058,2354,2355,2370,2369,2579,2580,2595,2594
2059,2356,2357,2372,2371,2581,2582,2597,2596
2060,2357,2358,2373,2372,2582,2583,2598,2597
2061,2358,2359,2374,2373,2583,2584,2599,2598
2062,2359,2360,2375,2374,2584,2585,2600,2599
2063,2360,2361,2376,2375,2585,2586,2601,2600
2064,2361,2362,2377,2376,2586,2587,2602,2601
2065,2362,2363,2378,2377,2587,2588,2603,2602
2066,2363,2364,2379,2378,2588,2589,2604,2603
2067,2364,2365,2380,2379,2589,2590,2605,2604
2068,2365,2366,2381,2380,2590,2591,2606,2605
2069,2366,2367,2382,2381,2591,2592,2607,2606
2070,2367,2368,2383,2382,2592,2593,2608,2607
2071,2368,2369,2384,2383,2593,2594,2609,2608
2072,2369,2370,2385,2384,2594,2595,2610,2609
2073,2371,2372,2387,2386,2596,2597,2612,2611
2074,2372,2373,2388,2387,2597,2598,2613,2612
2075,2373,2374,2389,2388,2598,2599,2614,2613
2076,2374,2375,2390,2389,2599,2600,2615,2614
2077,2375,2376,2391,2390,2600,2601,2616,2615
2078,2376,2377,2392,2391,2601,2602,2617,2616
2079,2377,2378,2393,2392,2602,2603,2618,2617
2080,2378,2379,2394,2393,2603,2604,2619,2618
2081,2379,2380,2395,2394,2604,2605,2620,2619
2082,2380,2381,2396,2395,2605,2606,2621,2620
2083,2381,2382,2397,2396,2606,2607,2622,2621
2084,2382,2383,2398,2397,2607,2608,2623,2622
2085,2383,2384,2399,2398,2608,2609,2624,2623
2086,2384,2385,2400,2399,2609,2610,2625,2624
2087,2386,2387,2402,2401,2611,2612,2627,2626
2088,2387,2388,2403,2402,2612,2613,2628,2627
2089,2388,2389,2404,2403,2613,2614,2629,2628
2090,2389,2390,2405,2404,2614,2615,2630,2629
2091,2390,2391,2406,2405,2615,2616,2631,2630
2092,2391,2392,2407,2406,2616,2617,2632,2631
2093,2392,2393,2408,2407,2617,2618,2633,2632
2094,2393,2394,2409,2408,2618,2619,2634,2633
2095,2394,2395,2410,2409,2619,2620,2635,2634
2096,2395,2396,2411,2410,2620,2621,2636,2635
2097,2396,2397,2412,2411,2621,2622,2637,2636
2098,2397,2398,2413,2412,2622,2623,2638,2637
2099,2398,2399,2414,2413,2623,2624,2639,2638
2100,2399,2400,2415,2414,2624,2625,2640,2639
2101,2401,2402,2417,2416,2626,2627,2642,2641
2102,2402,2403,2418,2417,2627,2628,2643,2642
2103,2403,2404,2419,2418,2628,2629,2644,2643
2104,2404,2405,2420,2419,2629,2630,2645,2644
2105,2405,2406,2421,2420,2630,2631,2646,2645
2106,2406,2407,2422,2421,2631,2632,2647,2646
2107,2407,2408,2423,2422,2632,2633,2648,2647
2108,2408,2409,2424,2423,2633,2634,2649,2648
2109,2409,2410,2425,2424,2634,2635,2650,2649
2110,2410,2411,2426,2425,2635,2636,2651,2650
2111,2411,2412,2427,2426,2636,2637,2652,2651
2112,2412,2413,2428,2427,2637,2638,2653,2652
2113,2413,2414,2429,2428,2638,2639,2654,2653
2114,2414,2415,2430,2429,2639,2640,2655,2654
2115,2416,2417,2432,2431,2641,2642,2657,2656
2116,2417,2418,2433,2432,2642,2643,2658,2657
2117,2418,2419,2434,2433,2643,2644,2659,2658
2118,2419,2420,2435,2434,2644,2645,2660,2659
2119,2420,2421,2436,2435,2645,2646,2661,2660
2120,2421,2422,2437,2436,2646,2647,2662,2661
2121,2422,2423,2438,2437,2647,2648,2663,2662
2122,2423,2424,2439,2438,2648,2649,2664,2663
2123,2424,2425,2440,2439,2649,2650,2665,2664
2124,2425,2426,2441,2440,2650,2651,2666,2665
2125,2426,2427,2442,2441,2651,2652,2667,2666
2126,2427,2428,2443,2442,2652,2653,2668,2667
2127,2428,2429,2444,2443,2653,2654,2669,2668
2128,2429,2430,2445,2444,2654,2655,2670,2669
2129,2431,2432,2447,2446,2656,2657,2672,2671
2130,2432,2433,2448,2447,2657,2658,2673,2672
2131,2433,2434,2449,2448,2658,2659,2674,2673
2132,2434,2435,2450,2449,2659,2660,2675,2674
2133,2435,2436,2451,2450,2660,2661,2676,2675
2134,2436,2437,2452,2451,2661,2662,2677,2676
2135,2437,2438,2453,2452,2662,2663,2678,2677
2136,2438,2439,2454,2453,2663,2664,2679,2678
2137,2439,2440,2455,2454,2664,2665,2680,2679
2138,2440,2441,2456,2455,2665,2666,2681,2680
2139,2441,2442,2457,2456,2666,2667,2682,2681
2140,2442,2443,2458,2457,2667,2668,2683,2682
2141,2443,2444,2459,2458,2668,2669,2684,2683
2142,2444,2445,2460,2459,2669,2670,2685,2684
2143,2446,2447,2462,2461,2671,2672,2687,2686
2144,2447,2448,2463,2462,2672,2673,2688,2687
2145,2448,2449,2464,2463,2673,2674,2689,2688
2146,2449,2450,2465,2464,2674,2675,2690,2689
2147,2450,2451,2466,2465,2675,2676,2691,2690
2148,2451,2452,2467,2466,2676,2677,2692,2691
2149,2452,2453,2468,2467,2677,2678,2693,2692
2150,2453,2454,2469,2468,2678,2679,2694,2693
2151,2454,2455,2470,2469,2679,2680,2695,2694
2152,2455,2456,2471,2470,2680,2681,2696,2695
2153,2456,2457,2472,2471,2681,2682,2697,2696
2154,2457,2458,2473,2472,2682,2683,2698,2697
2155,2458,2459,2474,2473,2683,2684,2699,2698
2156,2459,2460,2475,2474,2684,2685,2700,2699
2157,2476,2477,2492,2491,2701,2702,2717,2716
2158,2477,2478,2493,2492,2702,2703,2718,2717
2159,2478,2479,2494,2493,2703,2704,2719,2718
2160,2479,2480,2495,2494,2704,2705,2720,2719
2161,2480,2481,2496,2495,2705,2706,2721,2720
2162,2481,2482,2497,2496,2706,2707,2722,2721
2163,2482,2483,2498,2497,2707,2708,2723,2722
2164,2483,2484,2499,2498,2708,2709,2724,2723
2165,2484,2485,2500,2499,2709,2710,2725,2724
2166,2485,2486,2501,2500,2710,2711,2726,2725
2167,2486,2487,2502,2501,2711,2712,2727,2726
2168,2487,2488,2503,2502,2712,2713,2728,2727
2169,2488,2489,2504,2503,2713,2714,2729,2728
2170,2489,2490,2505,2504,2714,2715,2730,2729
2171,2491,2492,2507,2506,2716,2717,2732,2731
2172,2492,2493,2508,2507,2717,2718,2733,2732
2173,2493,2494,2509,2508,2718,2719,2734,2733
2174,2494,2495,2510,2509,2719,2720,2735,2734
2175,2495,2496,2511,2510,2720,2721,2736,2735
2176,2496,2497,2512,2511,2721,2722,2737,2736
2177,2497,2498,2513,2512,2722,2723,2738,2737
2178,2498,2499,2514,2513,2723,2724,2739,2738
2179,2499,2500,2515,2514,2724,2725,2740,2739
2180,2500,2501,2516,2515,2725,2726,2741,2740
2181,2501,2502,2517,2516,2726,2727,2742,2741
2182,2502,2503,2518,2517,2727,2728,2743,2742
2183,2503,2504,2519,2518,2728,2729,2744,2743
2184,2504,2505,2520,2519,2729,2730,2745,2744
2185,2506,2507,2522,2521,2731,2732,2747,2746
2186,2507,2508,2523,2522,2732,2733,2748,2747
2187,2508,2509,2524,2523,2733,2734,2749,2748
2188,2509,2510,2525,2524,2734,2735,2750,2749
2189,2510,2511,2526,2525,2735,2736,2751,2750
2190,2511,2512,2527,2526,2736,2737,2752,2751
2191,2512,2513,2528,2527,2737,2738,2753,2752
2192,2513,2514,2529,2528,2738,2739,2754,2753
2193,2514,2515,2530,2529,2739,2740,2755,2754
2194,2515,2516,2531,2530,2740,2741,2756,2755
2195,2516,2517,2532,2531,2741,2742,2757,2756
2196,2517,2518,2533,2532,2742,2743,2758,2757
2197,2518,2519,2534,2533,2743,2744,2759,2758
2198,2519,2520,2535,2534,2744,2745,2760,2759
2199,2521,2522,2537,2536,2746,2747,2762,2761
2200,2522,2523,2538,2537,2747,2748,2763,2762
2201,2523,2524,2539,2538,2748,2749,2764,2763
2202,2524,2525,2540,2539,2749,2750,2765,2764
2203,2525,2526,2541,2540,2750,2751,2766,2765
2204,2526,2527,2542,2541,2751,2752,2767,2766
2205,2527,2528,2543,2542,2752,2753,2768,2767
2206,2528,2529,2544,2543,2753,2754,2769,2768
2207,2529,2530,2545,2544,2754,2755,2770,2769
2208,2530,2531,2546,2545,2755,2756,2771,2770
2209,2531,2532,2547,2546,2756,2757,2772,2771
2210,2532,2533,2548,2547,2757,2758,2773,2772
2211,2533,2534,2549,2548,2758,2759,2774,2773
2212,2534,2535,2550,2549,2759,2760,2775,2774
2213,2536,2537,2552,2551,2761,2762,2777,2776
2214,2537,2538,2553,2552,2762,2763,2778,2777
2215,2538,2539,2554,2553,2763,2764,2779,2778
2216,2539,2540,2555,2554,2764,2765,2780,2779
2217,2540,2541,2556,2555,2765,2766,2781,2780
2218,2541,2542,2557,2556,2766,2767,2782,2781
2219,2542,2543,2558,2557,2767,2768,2783,2782
2220,2543,2544,2559,2558,2768,2769,2784,2783
2221,2544,2545,2560,2559,2769,2770,2785,2784
2222,2545,2546,2561,2560,2770,2771,2786,2785
2223,2546,2547,2562,2561,2771,2772,2787,2786
2224,2547,2548,2563,2562,2772,2773,2788,2787
2225,2548,2549,2564,2563,2773,2774,2789,2788
2226,2549,2550,2565,2564,2774,2775,2790,2789
2227,2551,2552,2567,2566,2776,2777,2792,2791
2228,2552,2553,2568,2567,2777,2778,2793,2792
2229,2553,2554,2569,2568,2778,2779,2794,2793
2230,2554,2555,2570,2569,2779,2780,2795,2794
2231,2555,2556,2571,2570,2780,2781,2796,2795
2232,2556,2557,2572,2571,2781,2782,2797,2796
2233,2557,2558,2573,2572,2782,2783,2798,2797
2234,2558,2559,2574,2573,2783,2784,2799,2798
2235,2559,2560,2575,2574,2784,2785,2800,2799
2236,2560,2561,2576,2575,2785,2786,2801,2800
2237,2561,2562,2577,2576,2786,2787,2802,2801
2238,2562,2563,2578,2577,2787,2788,2803,2802
2239,2563,2564,2579,2578,2788,2789,2804,2803
2240,2564,2565,2580,2579,2789,2790,2805,2804
2241,2566,2567,2582,2581,2791,2792,2807,2806
2242,2567,2568,2583,2582,2792,2793,2808,2807
2243,2568,2569,2584,2583,2793,2794,2809,2808
2244,2569,2570,2585,2584,2794,2795,2810,2809
2245,2570,2571,2586,2585,2795,2796,2811,2810
2246,2571,2572,2587,2586,2796,2797,2812,2811
2247,2572,2573,2588,2587,2797,2798,2813,2812
2248,2573,2574,2589,2588,2798,2799,2814,2813
2249,2574,2575,2590,2589,2799,2800,2815,2814
2250,2575,2576,2591,2590,2800,2801,2816,2815
2251,2576,2577,2592,2591,2801,2802,2817,2816
2252,2577,2578,2593,2592,2802,2803,2818,2817
2253,2578,2579,2594,2593,2803,2804,2819,2818
2254,2579,2580,2595,2594,2804,2805,2820,2819
2255,2581,2582,2597,2596,2806,2807,2822,2821
2256,2582,2583,2598,2597,2807,2808,2823,2822
2257,2583,2584,2599,2598,2808,2809,2824,2823
2258,2584,2585,2600,2599,2809,2810,2825,2824
2259,2585,2586,2601,2600,2810,2811,2826,2825
2260,2586,2587,2602,2601,2811,2812,2827,2826
2261,2587,2588,2603,2602,2812,2813,2828,2827
2262,2588,2589,2604,2603,2813,2814,2829,2828
2263,2589,2590,2605,2604,2814,2815,2830,2829
2264,2590,2591,2606,2605,2815,2816,2831,2830
2265,2591,2592,2607,2606,2816,2817,2832,2831
2266,2592,2593,2608,2607,2817,2818,2833,2832
2267,2593,2594,2609,2608,2818,2819,2834,2833
2268,2594,2595,2610,2609,2819,2820,2835,2834
2269,2596,2597,2612,2611,2821,2822,2837,2836
2270,2597,2598,2613,2612,2822,2823,2838,2837
2271,2598,2599,2614,2613,2823,2824,2839,2838
2272,2599,2600,2615,2614,2824,2825,2840,2839
2273,2600,2601,2616,2615,2825,2826,2841,2840
2274,2601,2602,2617,2616,2826,2827,2842,2841
2275,2602,2603,2618,2617,2827,2828,2843,2842
2276,2603,2604,2619,2618,2828,2829,2844,2843
2277,2604,2605,2620,2619,2829,2830,2845,2844
2278,2605,2606,2621,2620,2830,2831,2846,2845
2279,2606,2607,2622,2621,2831,2832,2847,2846
2280,2607,2608,2623,2622,2832,2833,2848,2847
2281,2608,2609,2624,2623,2833,2834,2849,2848
2282,2609,2610,2625,2624,2834,2835,2850,2849
2283,2611,2612,2627,2626,2836,2837,2852,2851
2284,2612,2613,2628,2627,2837,2838,2853,2852
2285,2613,2614,2629,2628,2838,2839,2854,2853
2286,2614,2615,2630,2629,2839,2840,2855,2854
2287,2615,2616,2631,2630,2840,2841,2856,2855
2288,2616,2617,2632,2631,2841,2842,2857,2856
2289,2617,2618,2633,2632,2842,2843,2858,2857
2290,2618,2619,2634,2633,2843,2844,2859,2858
2291,2619,2620,2635,2634,2844,2845,2860,2859
2292,2620,2621,2636,2635,2845,2846,2861,2860
2293,2621,2622,2637,2636,2846,2847,2862,2861
2294,2622,2623,2638,2637,2847,2848,2863,2862
2295,2623,2624,2639,2638,2848,2849,2864,2863
2296,2624,2625,2640,2639,2849,2850,2865,2864
2297,2626,2627,2642,2641,2851,2852,2867,2866
2298,2627,2628,2643,2642,2852,2853,2868,2867
2299,2628,2629,2644,2643,2853,2854,2869,2868
2300,2629,2630,2645,2644,2854,2855,2870,2869
2301,2630,2631,2646,2645,2855,2856,2871,2870
2302,2631,2632,2647,2646,2856,2857,2872,2871
2303,2632,2633,2648,2647,2857,2858,2873,2872
2304,2633,2634,2649,2648,2858,2859,2874,2873
2305,2634,2635,2650,2649,2859,2860,2875,2874
2306,2635,2636,2651,2650,2860,2861,2876,2875
2307,2636,2637,2652,2651,2861,2862,2877,2876
2308,2637,2638,2653,2652,2862,2863,2878,2877
2309,2638,2639,2654,2653,2863,2864,2879,2878
2310,2639,2640,2655,2654,2864,2865,2880,2879
2311,2641,2642,2657,2656,2866,2867,2882,2881
2312,2642,2643,2658,2657,2867,2868,2883,2882
2313,2643,2644,2659,2658,2868,2869,2884,2883
2314,2644,2645,2660,2659,2869,2870,2885,2884
2315,2645,2646,2661,2660,2870,2871,2886,2885
2316,2646,2647,2662,2661,2871,2872,2887,2886
2317,2647,2648,2663,2662,2872,2873,2888,2887
2318,2648,2649,2664,2663,2873,2874,2889,2888
2319,2649,2650,2665,2664,2874,2875,2890,2889
2320,2650,2651,2666,2665,2875,2876,2891,2890
2321,2651,2652,2667,2666,2876,2877,2892,2891
2322,2652,2653,2668,2667,2877,2878,2893,2892
2323,2653,2654,2669,2668,2878,2879,2894,2893
2324,2654,2655,2670,2669,2879,2880,2895,2894
2325,2656,2657,2672,2671,2881,2882,2897,2896
2326,2657,2658,2673,2672,2882,2883,2898,2897
2327,2658,2659,2674,2673,2883,2884,2899,2898
2328,2659,2660,2675,2674,2884,2885,2900,2899
2329,2660,2661,2676,2675,2885,2886,2901,2900
2330,2661,2662,2677,2676,2886,2887,2902,2901
2331,2662,2663,2678,2677,2887,2888,2903,2902
2332,2663,2664,2679,2678,2888,2889,2904,2903
2333,2664,2665,2680,2679,2889,2890,2905,2904
2334,2665,2666,2681,2680,2890,2891,2906,2905
2335,2666,2667,2682,2681,2891,2892,2907,2906
2336,2667,2668,2683,2682,2892,2893,2908,2907
2337,2668,2669,2684,2683,2893,2894,2909,2908
2338,2669,2670,2685,2684,2894,2895,2910,2909
2339,2671,2672,2687,2686,2896,2897,2912,2911
2340,2672,2673,2688,2687,2897,2898,2913,2912
2341,2673,2674,2689,2688,2898,2899,2914,2913
2342,2674,2675,2690,2689,2899,2900,2915,2914
2343,2675,2676,2691,2690,2900,2901,2916,2915
2344,2676,2677,2692,2691,2901,2902,2917,2916
2345,2677,2678,2693,2692,2902,2903,2918,2917
2346,2678,2679,2694,2693,2903,2904,2919,2918
2347,2679,2680,2695,2694,2904,2905,2920,2919
2348,2680,2681,2696,2695,2905,2906,2921,2920
2349,2681,2682,2697,2696,2906,2907,2922,2921
2350,2682,2683,2698,2697,2907,2908,2923,2922
2351,2683,2684,2699,2698,2908,2909,2924,2923
2352,2684,2685,2700,2699,2909,2910,2925,2924
2353,2701,2702,2717,2716,2926,2927,2942,2941
2354,2702,2703,2718,2717,2927,2928,2943,2942
2355,2703,2704,2719,2718,2928,2929,2944,2943
2356,2704,2705,2720,2719,2929,2930,2945,2944
2357,2705,2706,2721,2720,2930,2931,2946,2945
2358,2706,2707,2722,2721,2931,2932,2947,2946
2359,2707,2708,2723,2722,2932,2933,2948,2947
2360,2708,2709,2724,2723,2933,2934,2949,2948
2361,2709,2710,2725,2724,2934,2935,2950,2949
2362,2710,2711,2726,2725,2935,2936,2951,2950
2363,2711,2712,2727,2726,2936,2937,2952,2951
2364,2712,2713,2728,2727,2937,2938,2953,2952
2365,2713,2714,2729,2728,2938,2939,2954,2953
2366,2714,2715,2730,2729,2939,2940,2955,2954
2367,2716,2717,2732,2731,2941,2942,2957,2956
2368,2717,2718,2733,2732,2942,2943,2958,2957
2369,2718,2719,2734,2733,2943,2944,2959,2958
2370,2719,2720,2735,2734,2944,2945,2960,2959
2371,2720,2721,2736,2735,2945,2946,2961,2960
2372,2721,2722,2737,2736,2946,2947,2962,2961
2373,2722,2723,2738,2737,2947,2948,2963,2962
2374,2723,2724,2739,2738,2948,2949,2964,2963
2375,2724,2725,2740,2739,2949,2950,2965,2964
2376,2725,2726,2741,2740,2950,2951,2966,2965
2377,2726,2727,2742,2741,2951,2952,2967,2966
2378,2727,2728,2743,2742,2952,2953,2968,2967
2379,2728,2729,2744,2743,2953,2954,2969,2968
2380,2729,2730,2745,2744,2954,2955,2970,2969
2381,2731,2732,2747,2746,2956,2957,2972,2971
2382,2732,2733,2748,2747,2957,2958,2973,2972
2383,2733,2734,2749,2748,2958,2959,2974,2973
2384,2734,2735,2750,2749,2959,2960,2975,2974
2385,2735,2736,2751,2750,2960,2961,2976,2975
2386,2736,2737,2752,2751,2961,2962,2977,2976
2387,2737,2738,2753,2752,2962,2963,2978,2977
2388,2738,2739,2754,2753,2963,2964,2979,2978
2389,2739,2740,2755,2754,2964,2965,2980,2979
2390,2740,2741,2756,2755,2965,2966,2981,2980
2391,2741,2742,2757,2756,2966,2967,2982,2981
2392,2742,2743,2758,2757,2967,2968,2983,2982
2393,2743,2744,2759,2758,2968,2969,2984,2983
2394,2744,2745,2760,2759,2969,2970,2985,2984
2395,2746,2747,2762,2761,2971,2972,2987,2986
2396,2747,2748,2763,2762,2972,2973,2988,2987
2397,2748,2749,2764,2763,2973,2974,2989,2988
2398,2749,2750,2765,2764,2974,2975,2990,2989
2399,2750,2751,2766,2765,2975,2976,2991,2990
2400,2751,2752,2767,2766,2976,2977,2992,2991
2401,2752,2753,2768,2767,2977,2978,2993,2992
2402,2753,2754,2769,2768,2978,2979,2994,2993
2403,2754,2755,2770,2769,2979,2980,2995,2994
2404,2755,2756,2771,2770,2980,2981,2996,2995
2405,2756,2757,2772,2771,2981,2982,2997,2996
2406,2757,2758,2773,2772,2982,2983,2998,2997
2407,2758,2759,2774,2773,2983,2984,2999,2998
2408,2759,2760,2775,2774,2984,2985,3000,2999
2409,2761,2762,2777,2776,2986,2987,3002,3001
2410,2762,2763,2778,2777,2987,2988,3003,3002
2411,2763,2764,2779,2778,2988,2989,3004,3003
2412,2764,2765,2780,2779,2989,2990,3005,3004
2413,2765,2766,2781,2780,2990,2991,3006,3005
2414,2766,2767,2782,2781,2991,2992,3007,3006
2415,2767,2768,2783,2782,2992,2993,3008,3007
2416,2768,2769,2784,2783,2993,2994,3009,3008
2417,2769,2770,2785,2784,2994,2995,3010,3009
2418,2770,2771,2786,2785,2995,2996,3011,3010
2419,2771,2772,2787,2786,2996,2997,3012,3011
2420,2772,2773,2788,2787,2997,2998,3013,3012
2421,2773,2774,2789,2788,2998,2999,3014,3013
2422,2774,2775,2790,2789,2999,3000,3015,3014
2423,2776,2777,2792,2791,3001,3002,3017,3016
2424,2777,2778,2793,2792,3002,3003,3018,3017
2425,2778,2779,2794,2793,3003,3004,3019,3018
2426,2779,2780,2795,2794,3004,3005,3020,3019
2427,2780,2781,2796,2795,3005,3006,3021,3020
2428,2781,2782,2797,2796,3006,3007,3022,3021
2429,2782,2783,2798,2797,3007,3008,3023,3022
2430,2783,2784,2799,2798,3008,3009,3024,3023
2431,2784,2785,2800,2799,3009,3010,3025,3024
2432,2785,2786,2801,2800,3010,3011,3026,3025
2433,2786,2787,2802,2801,3011,3012,3027,3026
2434,2787,2788,2803,2802,3012,3013,3028,3027
2435,2788,2789,2804,2803,3013,3014,3029,3028
2436,2789,2790,2805,2804,3014,3015,3030,3029
2437,2791,2792,2807,2806,3016,3017,3032,3031
2438,2792,2793,2808,2807,3017,3018,3033,3032
2439,2793,2794,2809,2808,3018,3019,3034,3033
2440,2794,2795,2810,2809,3019,3020,3035,3034
2441,2795,2796,2811,2810,3020,3021,3036,3035
2442,2796,2797,2812,2811,3021,3022,3037,3036
2443,2797,2798,2813,2812,3022,3023,3038,3037
2444,2798,2799,2814,2813,3023,3024,3039,3038
2445,2799,2800,2815,2814,3024,3025,3040,3039
2446,2800,2801,2816,2815,3025,3026,3041,3040
2447,2801,2802,2817,2816,3026,3027,3042,3041
2448,2802,2803,2818,2817,3027,3028,3043,3042
2449,2803,2804,2819,2818,3028,3029,3044,3043
2450,2804,2805,2820,2819,3029,3030,3045,3044
2451,2806,2807,2822,2821,3031,3032,3047,3046
2452,2807,2808,2823,2822,3032,3033,3048,3047
2453,2808,2809,2824,2823,3033,3034,3049,3048
2454,2809,2810,2825,2824,3034,3035,3050,3049
2455,2810,2811,2826,2825,3035,3036,3051,3050
2456,2811,2812,2827,2826,3036,3037,3052,3051
2457,2812,2813,2828,2827,3037,3038,3053,3052
2458,2813,2814,2829,2828,3038,3039,3054,3053
2459,2814,2815,2830,2829,3039,3040,3055,3054
2460,2815,2816,2831,2830,3040,3041,3056,3055
2461,2816,2817,2832,2831,3041,3042,3057,3056
2462,2817,2818,2833,2832,3042,3043,3058,3057
2463,2818,2819,2834,2833,3043,3044,3059,3058
2464,2819,2820,2835,2834,3044,3045,3060,3059
2465,2821,2822,2837,2836,3046,3047,3062,3061
2466,2822,2823,2838,2837,3047,3048,3063,3062
2467,2823,2824,2839,2838,3048,3049,3064,3063
2468,2824,2825,2840,2839,3049,3050,3065,3064
2469,2825,2826,2841,2840,3050,3051,3066,3065
2470,2826,2827,2842,2841,3051,3052,3067,3066
2471,2827,2828,2843,2842,3052,3053,3068,3067
2472,2828,2829,2844,2843,3053,3054,3069,3068
2473,2829,2830,2845,2844,3054,3055,3070,3069
2474,2830,2831,2846,2845,3055,3056,3071,3070
2475,2831,2832,2847,2846,3056,3057,3072,3071
2476,2832,2833,2848,2847,3057,3058,3073,3072
2477,2833,2834,2849,2848,3058,3059,3074,3073
2478,2834,2835,2850,2849,3059,3060,3075,3074
2479,2836,2837,2852,2851,3061,3062,3077,3076
2480,2837,2838,2853,2852,3062,3063,3078,3077
2481,2838,2839,2854,2853,3063,3064,3079,3078
2482,2839,2840,2855,2854,3064,3065,3080,3079
2483,2840,2841,2856,2855,3065,3066,3081,3080
2484,2841,2842,2857,2856,3066,3067,3082,3081
2485,2842,2843,2858,2857,3067,3068,3083,3082
2486,2843,2844,2859,2858,3068,3069,3084,3083
2487,2844,2845,2860,2859,3069,3070,3085,3084
2488,2845,2846,2861,2860,3070,3071,3086,3085
2489,2846,2847,2862,2861,3071,3072,3087,3086
2490,2847,2848,2863,2862,3072,3073,3088,3087
2491,2848,2849,2864,2863,3073,3074,3089,3088
2492,2849,2850,2865,2864,3074,3075,3090,3089
2493,2851,2852,2867,2866,3076,3077,3092,3091
2494,2852,2853,2868,2867,3077,3078,3093,3092
2495,2853,2854,2869,2868,3078,3079,3094,3093
2496,2854,2855,2870,2869,3079,3080,3095,3094
2497,2855,2856,2871,2870,3080,3081,3096,3095
2498,2856,2857,2872,2871,3081,3082,3097,3096
2499,2857,2858,2873,2872,3082,3083,3098,3097
2500,2858,2859,2874,2873,3083,3084,3099,3098
2501,2859,2860,2875,2874,3084,3085,3100,3099
2502,2860,2861,2876,2875,3085,3086,3101,3100
2503,2861,2862,2877,2876,3086,3087,3102,3101
2504,2862,2863,2878,2877,3087,3088,3103,3102
2505,2863,2864,2879,2878,3088,3089,3104,3103
2506,2864,2865,2880,2879,3089,3090,3105,3104
2507,2866,2867,2882,2881,3091,3092,3107,3106
2508,2867,2868,2883,2882,3092,3093,3108,3107
2509,2868,2869,2884,2883,3093,3094,3109,3108
2510,2869,2870,2885,2884,3094,3095,3110,3109
2511,2870,2871,2886,2885,3095,3096,3111,3110
2512,2871,2872,2887,2886,3096,3097,3112,3111
2513,2872,2873,2888,2887,3097,3098,3113,3112
2514,2873,2874,2889,2888,3098,3099,3114,3113
2515,2874,2875,2890,2889,3099,3100,3115,3114
2516,2875,2876,2891,2890,3100,3101,3116,3115
2517,2876,2877,2892,2891,3101,3102,3117,3116
2518,2877,2878,2893,2892,3102,3103,3118,3117
2519,2878,2879,2894,2893,3103,3104,3119,3118
2520,2879,2880,2895,2894,3104,3105,3120,3119
2521,2881,2882,2897,2896,3106,3107,3122,3121
2522,2882,2883,2898,2897,3107,3108,3123,3122
2523,2883,2884,2899,2898,3108,3109,3124,3123
2524,2884,2885,2900,2899,3109,3110,3125,3124
2525,2885,2886,2901,2900,3110,3111,3126,3125
2526,2886,2887,2902,2901,3111,3112,3127,3126
2527,2887,2888,2903,2902,3112,3113,3128,3127
2528,2888,2889,2904,2903,3113,3114,3129,3128
2529,2889,2890,2905,2904,3114,3115,3130,3129
2530,2890,2891,2906,2905,3115,3116,3131,3130
2531,2891,2892,2907,2906,3116,3117,3132,3131
2532,2892,2893,2908,2907,3117,3118,3133,3132
2533,2893,2894,2909,2908,3118,3119,3134,3133
2534,2894,2895,2910,2909,3119,3120,3135,3134
2535,2896,2897,2912,2911,3121,3122,3137,3136
2536,2897,2898,2913,2912,3122,3123,3138,3137
2537,2898,2899,2914,2913,3123,3124,3139,3138
2538,2899,2900,2915,2914,3124,3125,3140,3139
2539,2900,2901,2916,2915,3125,3126,3141,3140
2540,2901,2902,2917,2916,3126,3127,3142,3141
2541,2902,2903,2918,2917,3127,3128,3143,3142
2542,2903,2904,2919,2918,3128,3129,3144,3143
2543,2904,2905,2920,2919,3129,3130,3145,3144
2544,2905,2906,2921,2920,3130,3131,3146,3145
2545,2906,2907,2922,2921,3131,3132,3147,3146
2546,2907,2908,2923,2922,3132,3133,3148,3147
2547,2908,2909,2924,2923,3133,3134,3149,3148
2548,2909,2910,2925,2924,3134,3135,3150,3149
2549,2926,2927,2942,2941,3151,3152,3167,3166
2550,2927,2928,2943,2942,3152,3153,3168,3167
2551,2928,2929,2944,2943,3153,3154,3169,3168
2552,2929,2930,2945,2944,3154,3155,3170,3169
2553,2930,2931,2946,2945,3155,3156,3171,3170
2554,2931,2932,2947,2946,3156,3157,3172,3171
2555,2932,2933,2948,2947,3157,3158,3173,3172
2556,2933,2934,2949,2948,3158,3159,3174,3173
2557,2934,2935,2950,2949,3159,3160,3175,3174
2558,2935,2936,2951,2950,3160,3161,3176,3175
2559,2936,2937,2952,2951,3161,3162,3177,3176
2560,2937,2938,2953,2952,3162,3163,3178,3177
2561,2938,2939,2954,2953,3163,3164,3179,3178
2562,2939,2940,2955,2954,3164,3165,3180,3179
2563,2941,2942,2957,2956,3166,3167,3182,3181
2564,2942,2943,2958,2957,3167,3168,3183,3182
2565,2943,2944,2959,2958,3168,3169,3184,3183
2566,2944,2945,2960,2959,3169,3170,3185,3184
2567,2945,2946,2961,2960,3170,3171,3186,3185
2568,2946,2947,2962,2961,3171,3172,3187,3186
2569,2947,2948,2963,2962,3172,3173,3188,3187
2570,2948,2949,2964,2963,3173,3174,3189,3188
2571,2949,2950,2965,2964,3174,3175,3190,3189
2572,2950,2951,2966,2965,3175,3176,3191,3190
2573,2951,2952,2967,2966,3176,3177,3192,3191
2574,2952,2953,2968,2967,3177,3178,3193,3192
2575,2953,2954,2969,2968,3178,3179,3194,3193
2576,2954,2955,2970,2969,3179,3180,3195,3194
2577,2956,2957,2972,2971,3181,3182,3197,3196
2578,2957,2958,2973,2972,3182,3183,3198,3197
2579,2958,2959,2974,2973,3183,3184,3199,3198
2580,2959,2960,2975,2974,3184,3185,3200,3199
2581,2960,2961,2976,2975,3185,3186,3201,3200
2582,2961,2962,2977,2976,3186,3187,3202,3201
2583,2962,2963,2978,2977,3187,3188,3203,3202
2584,2963,2964,2979,2978,3188,3189,3204,3203
2585,2964,2965,2980,2979,3189,3190,3205,3204
2586,2965,2966,2981,2980,3190,3191,3206,3205
2587,2966,2967,2982,2981,3191,3192,3207,3206
2588,2967,2968,2983,2982,3192,3193,3208,3207
2589,2968,2969,2984,2983,3193,3194,3209,3208
2590,2969,2970,2985,2984,3194,3195,3210,3209
2591,2971,2972,2987,2986,3196,3197,3212,3211
2592,2972,2973,2988,2987,3197,3198,3213,3212
2593,2973,2974,2989,2988,3198,3199,3214,3213
2594,2974,2975,2990,2989,3199,3200,3215,3214
2595,2975,2976,2991,2990,3200,3201,3216,3215
2596,2976,2977,2992,2991,3201,3202,3217,3216
2597,2977,2978,2993,2992,3202,3203,3218,3217
2598,2978,2979,2994,2993,3203,3204,3219,3218
2599,2979,2980,2995,2994,3204,3205,3220,3219
2600,2980,2981,2996,2995,3205,3206,3221,3220
2601,2981,2982,2997,2996,3206,3207,3222,3221
2602,2982,2983,2998,2997,3207,3208,3223,3222
2603,2983,2984,2999,2998,3208,3209,3224,3223
2604,2984,2985,3000,2999,3209,3210,3225,3224
2605,2986,2987,3002,3001,3211,3212,3227,3226
2606,2987,2988,3003,3002,3212,3213,3228,3227
2607,2988,2989,3004,3003,3213,3214,3229,3228
2608,2989,2990,3005,3004,3214,3215,3230,3229
2609,2990,2991,3006,3005,3215,3216,3231,3230
2610,2991,2992,3007,3006,3216,3217,3232,3231
2611,2992,2993,3008,3007,3217,3218,3233,3232
2612,2993,2994,3009,3008,3218,3219,3234,3233
2613,2994,2995,3010,3009,3219,3220,3235,3234
2614,2995,2996,3011,3010,3220,3221,3236,3235
2615,2996,2997,3012,3011,3221,3222,3237,3236
2616,2997,2998,3013,3012,3222,3223,3238,3237
2617,2998,2999,3014,3013,3223,3224,3239,3238
2618,2999,3000,3015,3014,3224,3225,3240,3239
2619,3001,3002,3017,3016,3226,3227,3242,3241
2620,3002,3003,3018,3017,3227,3228,3243,3242
2621,3003,3004,3019,3018,3228,3229,3244,3243
2622,3004,3005,3020,3019,3229,3230,3245,3244
2623,3005,3006,3021,3020,3230,3231,3246,3245
2624,3006,3007,3022,3021,3231,3232,3247,3246
2625,3007,3008,3023,3022,3232,3233,3248,3247
2626,3008,3009,3024,3023,3233,3234,3249,3248
2627,3009,3010,3025,3024,3234,3235,3250,3249
2628,3010,3011,3026,3025,3235,3236,3251,3250
2629,3011,3012,3027,3026,3236,3237,3252,3251
2630,3012,3013,3028,3027,3237,3238,3253,3252
2631,3013,3014,3029,3028,3238,3239,3254,3253
2632,3014,3015,3030,3029,3239,3240,3255,3254
2633,3016,3017,3032,3031,3241,3242,3257,3256
2634,3017,3018,3033,3032,3242,3243,3258,3257
2635,3018,3019,3034,3033,3243,3244,3259,3258
2636,3019,3020,3035,3034,3244,3245,3260,3259
2637,3020,3021,3036,3035,3245,3246,3261,3260
2638,3021,3022,3037,3036,3246,3247,3262,3261
2639,3022,3023,3038,3037,3247,3248,3263,3262
2640,3023,3024,3039,3038,3248,3249,3264,3263
2641,3024,3025,3040,3039,3249,3250,3265,3264
2642,3025,3026,3041,3040,3250,3251,3266,3265
2643,3026,3027,3042,3041,3251,3252,3267,3266
2644,3027,3028,3043,3042,3252,3253,3268,3267
2645,3028,3029,3044,3043,3253,3254,3269,3268
2646,3029,3030,3045,3044,3254,3255,3270,3269
2647,3031,3032,3047,3046,3256,3257,3272,3271
2648,3032,3033,3048,3047,3257,3258,3273,3272
2649,3033,3034,3049,3048,3258,3259,3274,3273
2650,3034,3035,3050,3049,3259,3260,3275,3274
2651,3035,3036,3051,3050,3260,3261,3276,3275
2652,3036,3037,3052,3051,3261,3262,3277,3276
2653,3037,3038,3053,3052,3262,3263,3278,3277
2654,3038,3039,3054,3053,3263,3264,3279,3278
2655,3039,3040,3055,3054,3264,3265,3280,3279
2656,3040,3041,3056,3055,3265,3266,3281,3280
2657,3041,3042,3057,3056,3266,3267,3282,3281
2658,3042,3043,3058,3057,3267,3268,3283,3282
2659,3043,3044,3059,3058,3268,3269,3284,3283
2660,3044,3045,3060,3059,3269,3270,3285,3284
2661,3046,3047,3062,3061,3271,3272,3287,3286
2662,3047,3048,3063,3062,3272,3273,3288,3287
2663,3048,3049,3064,3063,3273,3274,3289,3288
2664,3049,3050,3065,3064,3274,3275,3290,3289
2665,3050,3051,3066,3065,3275,3276,3291,3290
2666,3051,3052,3067,3066,3276,3277,3292,3291
2667,3052,3053,3068,3067,3277,3278,3293,3292
2668,3053,3054,3069,3068,3278,3279,3294,3293
2669,3054,3055,3070,3069,3279,3280,3295,3294
2670,3055,3056,3071,3070,3280,3281,3296,3295
2671,3056,3057,3072,3071,3281,3282,3297,3296
2672,3057,3058,3073,3072,3282,3283,3298,3297
2673,3058,3059,3074,3073,3283,3284,3299,3298
2674,3059,3060,3075,3074,3284,3285,3300,3299
2675,3061,3062,3077,3076,3286,3287,3302,3301
2676,3062,3063,3078,3077,3287,3288,3303,3302
2677,3063,3064,3079,3078,3288,3289,3304,3303
2678,3064,3065,3080,3079,3289,3290,3305,3304
2679,3065,3066,3081,3080,3290,3291,3306,3305
2680,3066,3067,3082,3081,3291,3292,3307,3306
2681,3067,3068,3083,3082,3292,3293,3308,3307
2682,3068,3069,3084,3083,3293,3294,3309,3308
2683,3069,3070,3085,3084,3294,3295,3310,3309
2684,3070,3071,3086,3085,3295,3296,3311,3310
2685,3071,3072,3087,3086,3296,3297,3312,3311
2686,3072,3073,3088,3087,3297,3298,3313,3312
2687,3073,3074,3089,3088,3298,3299,3314,3313
2688,3074,3075,3090,3089,3299,3300,3315,3314
2689,3076,3077,3092,3091,3301,3302,3317,3316
2690,3077,3078,3093,3092,3302,3303,3318,3317
2691,3078,3079,3094,3093,3303,3304,3319,3318
2692,3079,3080,3095,3094,3304,3305,3320,3319
2693,3080,3081,3096,3095,3305,3306,3321,3320
2694,3081,3082,3097,3096,3306,3307,3322,3321
2695,3082,3083,3098,3097,3307,3308,3323,3322
2696,3083,3084,3099,3098,3308,3309,3324,3323
2697,3084,3085,3100,3099,3309,3310,3325,3324
2698,3085,3086,3101,3100,3310,3311,3326,3325
2699,3086,3087,3102,3101,3311,3312,3327,3326
2700,3087,3088,3103,3102,3312,3313,3328,3327
2701,3088,3089,3104,3103,3313,3314,3329,3328
2702,3089,3090,3105,3104,3314,3315,3330,3329
2703,3091,3092,3107,3106,3316,3317,3332,3331
2704,3092,3093,3108,3107,3317,3318,3333,3332
2705,3093,3094,3109,3108,3318,3319,3334,3333
2706,3094,3095,3110,3109,3319,3320,3335,3334
2707,3095,3096,3111,3110,3320,3321,3336,3335
2708,3096,3097,3112,3111,3321,3322,3337,3336
2709,3097,3098,3113,3112,3322,3323,3338,3337
2710,3098,3099,3114,3113,3323,3324,3339,3338
2711,3099,3100,3115,3114,3324,3325,3340,3339
2712,3100,3101,3116,3115,3325,3326,3341,3340
2713,3101,3102,3117,3116,3326,3327,3342,3341
2714,3102,3103,3118,3117,3327,3328,3343,3342
2715,3103,3104,3119,3118,3328,3329,3344,3343
2716,3104,3105,3120,3119,3329,3330,3345,3344
2717,3106,3107,3122,3121,3331,3332,3347,3346
2718,3107,3108,3123,3122,3332,3333,3348,3347
2719,3108,3109,3124,3123,3333,3334,3349,3348
2720,3109,3110,3125,3124,3334,3335,3350,3349
2721,3110,3111,3126,3125,3335,3336,3351,3350
2722,3111,3112,3127,3126,3336,3337,3352,3351
2723,3112,3113,3128,3127,3337,3338,3353,3352
2724,3113,3114,3129,3128,3338,3339,3354,3353
2725,3114,3115,3130,3129,3339,3340,3355,3354
2726,3115,3116,3131,3130,3340,3341,3356,3355
2727,3116,3117,3132,3131,3341,3342,3357,3356
2728,3117,3118,3133,3132,3342,3343,3358,3357
2729,3118,3119,3134,3133,3343,3344,3359,3358
2730,3119,3120,3135,3134,3344,3345,3360,3359
2731,3121,3122,3137,3136,3346,3347,3362,3361
2732,3122,3123,3138,3137,3347,3348,3363,3362
2733,3123,3124,3139,3138,3348,3349,3364,3363
2734,3124,3125,3140,3139,3349,3350,3365,3364
2735,3125,3126,3141,3140,3350,3351,3366,3365
2736,3126,3127,3142,3141,3351,3352,3367,3366
2737,3127,3128,3143,3142,3352,3353,3368,3367
2738,3128,3129,3144,3143,3353,3354,3369,3368
2739,3129,3130,3145,3144,3354,3355,3370,3369
2740,3130,3131,3146,3145,3355,3356,3371,3370
2741,3131,3132,3147,3146,3356,3357,3372,3371
2742,3132,3133,3148,3147,3357,3358,3373,3372
2743,3133,3134,3149,3148,3358,3359,3374,3373
2744,3134,3135,3150,3149,3359,3360,3375,3374
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=250
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*Material, name=MATERIAL-GRAIN2
*Depvar
12,
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1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0
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*Material, name=MATERIAL-GRAIN3
*Depvar
12,
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**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
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**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
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** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Neper2Abaqus/Step-2b Python/abq_hex.msh
================================================
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1761 0.357142857143 0.857142857143 0.500000000000
1762 0.428571428571 0.857142857143 0.500000000000
1763 0.500000000000 0.857142857143 0.500000000000
1764 0.571428571429 0.857142857143 0.500000000000
1765 0.642857142857 0.857142857143 0.500000000000
1766 0.714285714286 0.857142857143 0.500000000000
1767 0.785714285714 0.857142857143 0.500000000000
1768 0.857142857143 0.857142857143 0.500000000000
1769 0.928571428571 0.857142857143 0.500000000000
1770 1.000000000000 0.857142857143 0.500000000000
1771 0.000000000000 0.928571428571 0.500000000000
1772 0.071428571429 0.928571428571 0.500000000000
1773 0.142857142857 0.928571428571 0.500000000000
1774 0.214285714286 0.928571428571 0.500000000000
1775 0.285714285714 0.928571428571 0.500000000000
1776 0.357142857143 0.928571428571 0.500000000000
1777 0.428571428571 0.928571428571 0.500000000000
1778 0.500000000000 0.928571428571 0.500000000000
1779 0.571428571429 0.928571428571 0.500000000000
1780 0.642857142857 0.928571428571 0.500000000000
1781 0.714285714286 0.928571428571 0.500000000000
1782 0.785714285714 0.928571428571 0.500000000000
1783 0.857142857143 0.928571428571 0.500000000000
1784 0.928571428571 0.928571428571 0.500000000000
1785 1.000000000000 0.928571428571 0.500000000000
1786 0.000000000000 1.000000000000 0.500000000000
1787 0.071428571429 1.000000000000 0.500000000000
1788 0.142857142857 1.000000000000 0.500000000000
1789 0.214285714286 1.000000000000 0.500000000000
1790 0.285714285714 1.000000000000 0.500000000000
1791 0.357142857143 1.000000000000 0.500000000000
1792 0.428571428571 1.000000000000 0.500000000000
1793 0.500000000000 1.000000000000 0.500000000000
1794 0.571428571429 1.000000000000 0.500000000000
1795 0.642857142857 1.000000000000 0.500000000000
1796 0.714285714286 1.000000000000 0.500000000000
1797 0.785714285714 1.000000000000 0.500000000000
1798 0.857142857143 1.000000000000 0.500000000000
1799 0.928571428571 1.000000000000 0.500000000000
1800 1.000000000000 1.000000000000 0.500000000000
1801 0.000000000000 0.000000000000 0.571428571429
1802 0.071428571429 0.000000000000 0.571428571429
1803 0.142857142857 0.000000000000 0.571428571429
1804 0.214285714286 0.000000000000 0.571428571429
1805 0.285714285714 0.000000000000 0.571428571429
1806 0.357142857143 0.000000000000 0.571428571429
1807 0.428571428571 0.000000000000 0.571428571429
1808 0.500000000000 0.000000000000 0.571428571429
1809 0.571428571429 0.000000000000 0.571428571429
1810 0.642857142857 0.000000000000 0.571428571429
1811 0.714285714286 0.000000000000 0.571428571429
1812 0.785714285714 0.000000000000 0.571428571429
1813 0.857142857143 0.000000000000 0.571428571429
1814 0.928571428571 0.000000000000 0.571428571429
1815 1.000000000000 0.000000000000 0.571428571429
1816 0.000000000000 0.071428571429 0.571428571429
1817 0.071428571429 0.071428571429 0.571428571429
1818 0.142857142857 0.071428571429 0.571428571429
1819 0.214285714286 0.071428571429 0.571428571429
1820 0.285714285714 0.071428571429 0.571428571429
1821 0.357142857143 0.071428571429 0.571428571429
1822 0.428571428571 0.071428571429 0.571428571429
1823 0.500000000000 0.071428571429 0.571428571429
1824 0.571428571429 0.071428571429 0.571428571429
1825 0.642857142857 0.071428571429 0.571428571429
1826 0.714285714286 0.071428571429 0.571428571429
1827 0.785714285714 0.071428571429 0.571428571429
1828 0.857142857143 0.071428571429 0.571428571429
1829 0.928571428571 0.071428571429 0.571428571429
1830 1.000000000000 0.071428571429 0.571428571429
1831 0.000000000000 0.142857142857 0.571428571429
1832 0.071428571429 0.142857142857 0.571428571429
1833 0.142857142857 0.142857142857 0.571428571429
1834 0.214285714286 0.142857142857 0.571428571429
1835 0.285714285714 0.142857142857 0.571428571429
1836 0.357142857143 0.142857142857 0.571428571429
1837 0.428571428571 0.142857142857 0.571428571429
1838 0.500000000000 0.142857142857 0.571428571429
1839 0.571428571429 0.142857142857 0.571428571429
1840 0.642857142857 0.142857142857 0.571428571429
1841 0.714285714286 0.142857142857 0.571428571429
1842 0.785714285714 0.142857142857 0.571428571429
1843 0.857142857143 0.142857142857 0.571428571429
1844 0.928571428571 0.142857142857 0.571428571429
1845 1.000000000000 0.142857142857 0.571428571429
1846 0.000000000000 0.214285714286 0.571428571429
1847 0.071428571429 0.214285714286 0.571428571429
1848 0.142857142857 0.214285714286 0.571428571429
1849 0.214285714286 0.214285714286 0.571428571429
1850 0.285714285714 0.214285714286 0.571428571429
1851 0.357142857143 0.214285714286 0.571428571429
1852 0.428571428571 0.214285714286 0.571428571429
1853 0.500000000000 0.214285714286 0.571428571429
1854 0.571428571429 0.214285714286 0.571428571429
1855 0.642857142857 0.214285714286 0.571428571429
1856 0.714285714286 0.214285714286 0.571428571429
1857 0.785714285714 0.214285714286 0.571428571429
1858 0.857142857143 0.214285714286 0.571428571429
1859 0.928571428571 0.214285714286 0.571428571429
1860 1.000000000000 0.214285714286 0.571428571429
1861 0.000000000000 0.285714285714 0.571428571429
1862 0.071428571429 0.285714285714 0.571428571429
1863 0.142857142857 0.285714285714 0.571428571429
1864 0.214285714286 0.285714285714 0.571428571429
1865 0.285714285714 0.285714285714 0.571428571429
1866 0.357142857143 0.285714285714 0.571428571429
1867 0.428571428571 0.285714285714 0.571428571429
1868 0.500000000000 0.285714285714 0.571428571429
1869 0.571428571429 0.285714285714 0.571428571429
1870 0.642857142857 0.285714285714 0.571428571429
1871 0.714285714286 0.285714285714 0.571428571429
1872 0.785714285714 0.285714285714 0.571428571429
1873 0.857142857143 0.285714285714 0.571428571429
1874 0.928571428571 0.285714285714 0.571428571429
1875 1.000000000000 0.285714285714 0.571428571429
1876 0.000000000000 0.357142857143 0.571428571429
1877 0.071428571429 0.357142857143 0.571428571429
1878 0.142857142857 0.357142857143 0.571428571429
1879 0.214285714286 0.357142857143 0.571428571429
1880 0.285714285714 0.357142857143 0.571428571429
1881 0.357142857143 0.357142857143 0.571428571429
1882 0.428571428571 0.357142857143 0.571428571429
1883 0.500000000000 0.357142857143 0.571428571429
1884 0.571428571429 0.357142857143 0.571428571429
1885 0.642857142857 0.357142857143 0.571428571429
1886 0.714285714286 0.357142857143 0.571428571429
1887 0.785714285714 0.357142857143 0.571428571429
1888 0.857142857143 0.357142857143 0.571428571429
1889 0.928571428571 0.357142857143 0.571428571429
1890 1.000000000000 0.357142857143 0.571428571429
1891 0.000000000000 0.428571428571 0.571428571429
1892 0.071428571429 0.428571428571 0.571428571429
1893 0.142857142857 0.428571428571 0.571428571429
1894 0.214285714286 0.428571428571 0.571428571429
1895 0.285714285714 0.428571428571 0.571428571429
1896 0.357142857143 0.428571428571 0.571428571429
1897 0.428571428571 0.428571428571 0.571428571429
1898 0.500000000000 0.428571428571 0.571428571429
1899 0.571428571429 0.428571428571 0.571428571429
1900 0.642857142857 0.428571428571 0.571428571429
1901 0.714285714286 0.428571428571 0.571428571429
1902 0.785714285714 0.428571428571 0.571428571429
1903 0.857142857143 0.428571428571 0.571428571429
1904 0.928571428571 0.428571428571 0.571428571429
1905 1.000000000000 0.428571428571 0.571428571429
1906 0.000000000000 0.500000000000 0.571428571429
1907 0.071428571429 0.500000000000 0.571428571429
1908 0.142857142857 0.500000000000 0.571428571429
1909 0.214285714286 0.500000000000 0.571428571429
1910 0.285714285714 0.500000000000 0.571428571429
1911 0.357142857143 0.500000000000 0.571428571429
1912 0.428571428571 0.500000000000 0.571428571429
1913 0.500000000000 0.500000000000 0.571428571429
1914 0.571428571429 0.500000000000 0.571428571429
1915 0.642857142857 0.500000000000 0.571428571429
1916 0.714285714286 0.500000000000 0.571428571429
1917 0.785714285714 0.500000000000 0.571428571429
1918 0.857142857143 0.500000000000 0.571428571429
1919 0.928571428571 0.500000000000 0.571428571429
1920 1.000000000000 0.500000000000 0.571428571429
1921 0.000000000000 0.571428571429 0.571428571429
1922 0.071428571429 0.571428571429 0.571428571429
1923 0.142857142857 0.571428571429 0.571428571429
1924 0.214285714286 0.571428571429 0.571428571429
1925 0.285714285714 0.571428571429 0.571428571429
1926 0.357142857143 0.571428571429 0.571428571429
1927 0.428571428571 0.571428571429 0.571428571429
1928 0.500000000000 0.571428571429 0.571428571429
1929 0.571428571429 0.571428571429 0.571428571429
1930 0.642857142857 0.571428571429 0.571428571429
1931 0.714285714286 0.571428571429 0.571428571429
1932 0.785714285714 0.571428571429 0.571428571429
1933 0.857142857143 0.571428571429 0.571428571429
1934 0.928571428571 0.571428571429 0.571428571429
1935 1.000000000000 0.571428571429 0.571428571429
1936 0.000000000000 0.642857142857 0.571428571429
1937 0.071428571429 0.642857142857 0.571428571429
1938 0.142857142857 0.642857142857 0.571428571429
1939 0.214285714286 0.642857142857 0.571428571429
1940 0.285714285714 0.642857142857 0.571428571429
1941 0.357142857143 0.642857142857 0.571428571429
1942 0.428571428571 0.642857142857 0.571428571429
1943 0.500000000000 0.642857142857 0.571428571429
1944 0.571428571429 0.642857142857 0.571428571429
1945 0.642857142857 0.642857142857 0.571428571429
1946 0.714285714286 0.642857142857 0.571428571429
1947 0.785714285714 0.642857142857 0.571428571429
1948 0.857142857143 0.642857142857 0.571428571429
1949 0.928571428571 0.642857142857 0.571428571429
1950 1.000000000000 0.642857142857 0.571428571429
1951 0.000000000000 0.714285714286 0.571428571429
1952 0.071428571429 0.714285714286 0.571428571429
1953 0.142857142857 0.714285714286 0.571428571429
1954 0.214285714286 0.714285714286 0.571428571429
1955 0.285714285714 0.714285714286 0.571428571429
1956 0.357142857143 0.714285714286 0.571428571429
1957 0.428571428571 0.714285714286 0.571428571429
1958 0.500000000000 0.714285714286 0.571428571429
1959 0.571428571429 0.714285714286 0.571428571429
1960 0.642857142857 0.714285714286 0.571428571429
1961 0.714285714286 0.714285714286 0.571428571429
1962 0.785714285714 0.714285714286 0.571428571429
1963 0.857142857143 0.714285714286 0.571428571429
1964 0.928571428571 0.714285714286 0.571428571429
1965 1.000000000000 0.714285714286 0.571428571429
1966 0.000000000000 0.785714285714 0.571428571429
1967 0.071428571429 0.785714285714 0.571428571429
1968 0.142857142857 0.785714285714 0.571428571429
1969 0.214285714286 0.785714285714 0.571428571429
1970 0.285714285714 0.785714285714 0.571428571429
1971 0.357142857143 0.785714285714 0.571428571429
1972 0.428571428571 0.785714285714 0.571428571429
1973 0.500000000000 0.785714285714 0.571428571429
1974 0.571428571429 0.785714285714 0.571428571429
1975 0.642857142857 0.785714285714 0.571428571429
1976 0.714285714286 0.785714285714 0.571428571429
1977 0.785714285714 0.785714285714 0.571428571429
1978 0.857142857143 0.785714285714 0.571428571429
1979 0.928571428571 0.785714285714 0.571428571429
1980 1.000000000000 0.785714285714 0.571428571429
1981 0.000000000000 0.857142857143 0.571428571429
1982 0.071428571429 0.857142857143 0.571428571429
1983 0.142857142857 0.857142857143 0.571428571429
1984 0.214285714286 0.857142857143 0.571428571429
1985 0.285714285714 0.857142857143 0.571428571429
1986 0.357142857143 0.857142857143 0.571428571429
1987 0.428571428571 0.857142857143 0.571428571429
1988 0.500000000000 0.857142857143 0.571428571429
1989 0.571428571429 0.857142857143 0.571428571429
1990 0.642857142857 0.857142857143 0.571428571429
1991 0.714285714286 0.857142857143 0.571428571429
1992 0.785714285714 0.857142857143 0.571428571429
1993 0.857142857143 0.857142857143 0.571428571429
1994 0.928571428571 0.857142857143 0.571428571429
1995 1.000000000000 0.857142857143 0.571428571429
1996 0.000000000000 0.928571428571 0.571428571429
1997 0.071428571429 0.928571428571 0.571428571429
1998 0.142857142857 0.928571428571 0.571428571429
1999 0.214285714286 0.928571428571 0.571428571429
2000 0.285714285714 0.928571428571 0.571428571429
2001 0.357142857143 0.928571428571 0.571428571429
2002 0.428571428571 0.928571428571 0.571428571429
2003 0.500000000000 0.928571428571 0.571428571429
2004 0.571428571429 0.928571428571 0.571428571429
2005 0.642857142857 0.928571428571 0.571428571429
2006 0.714285714286 0.928571428571 0.571428571429
2007 0.785714285714 0.928571428571 0.571428571429
2008 0.857142857143 0.928571428571 0.571428571429
2009 0.928571428571 0.928571428571 0.571428571429
2010 1.000000000000 0.928571428571 0.571428571429
2011 0.000000000000 1.000000000000 0.571428571429
2012 0.071428571429 1.000000000000 0.571428571429
2013 0.142857142857 1.000000000000 0.571428571429
2014 0.214285714286 1.000000000000 0.571428571429
2015 0.285714285714 1.000000000000 0.571428571429
2016 0.357142857143 1.000000000000 0.571428571429
2017 0.428571428571 1.000000000000 0.571428571429
2018 0.500000000000 1.000000000000 0.571428571429
2019 0.571428571429 1.000000000000 0.571428571429
2020 0.642857142857 1.000000000000 0.571428571429
2021 0.714285714286 1.000000000000 0.571428571429
2022 0.785714285714 1.000000000000 0.571428571429
2023 0.857142857143 1.000000000000 0.571428571429
2024 0.928571428571 1.000000000000 0.571428571429
2025 1.000000000000 1.000000000000 0.571428571429
2026 0.000000000000 0.000000000000 0.642857142857
2027 0.071428571429 0.000000000000 0.642857142857
2028 0.142857142857 0.000000000000 0.642857142857
2029 0.214285714286 0.000000000000 0.642857142857
2030 0.285714285714 0.000000000000 0.642857142857
2031 0.357142857143 0.000000000000 0.642857142857
2032 0.428571428571 0.000000000000 0.642857142857
2033 0.500000000000 0.000000000000 0.642857142857
2034 0.571428571429 0.000000000000 0.642857142857
2035 0.642857142857 0.000000000000 0.642857142857
2036 0.714285714286 0.000000000000 0.642857142857
2037 0.785714285714 0.000000000000 0.642857142857
2038 0.857142857143 0.000000000000 0.642857142857
2039 0.928571428571 0.000000000000 0.642857142857
2040 1.000000000000 0.000000000000 0.642857142857
2041 0.000000000000 0.071428571429 0.642857142857
2042 0.071428571429 0.071428571429 0.642857142857
2043 0.142857142857 0.071428571429 0.642857142857
2044 0.214285714286 0.071428571429 0.642857142857
2045 0.285714285714 0.071428571429 0.642857142857
2046 0.357142857143 0.071428571429 0.642857142857
2047 0.428571428571 0.071428571429 0.642857142857
2048 0.500000000000 0.071428571429 0.642857142857
2049 0.571428571429 0.071428571429 0.642857142857
2050 0.642857142857 0.071428571429 0.642857142857
2051 0.714285714286 0.071428571429 0.642857142857
2052 0.785714285714 0.071428571429 0.642857142857
2053 0.857142857143 0.071428571429 0.642857142857
2054 0.928571428571 0.071428571429 0.642857142857
2055 1.000000000000 0.071428571429 0.642857142857
2056 0.000000000000 0.142857142857 0.642857142857
2057 0.071428571429 0.142857142857 0.642857142857
2058 0.142857142857 0.142857142857 0.642857142857
2059 0.214285714286 0.142857142857 0.642857142857
2060 0.285714285714 0.142857142857 0.642857142857
2061 0.357142857143 0.142857142857 0.642857142857
2062 0.428571428571 0.142857142857 0.642857142857
2063 0.500000000000 0.142857142857 0.642857142857
2064 0.571428571429 0.142857142857 0.642857142857
2065 0.642857142857 0.142857142857 0.642857142857
2066 0.714285714286 0.142857142857 0.642857142857
2067 0.785714285714 0.142857142857 0.642857142857
2068 0.857142857143 0.142857142857 0.642857142857
2069 0.928571428571 0.142857142857 0.642857142857
2070 1.000000000000 0.142857142857 0.642857142857
2071 0.000000000000 0.214285714286 0.642857142857
2072 0.071428571429 0.214285714286 0.642857142857
2073 0.142857142857 0.214285714286 0.642857142857
2074 0.214285714286 0.214285714286 0.642857142857
2075 0.285714285714 0.214285714286 0.642857142857
2076 0.357142857143 0.214285714286 0.642857142857
2077 0.428571428571 0.214285714286 0.642857142857
2078 0.500000000000 0.214285714286 0.642857142857
2079 0.571428571429 0.214285714286 0.642857142857
2080 0.642857142857 0.214285714286 0.642857142857
2081 0.714285714286 0.214285714286 0.642857142857
2082 0.785714285714 0.214285714286 0.642857142857
2083 0.857142857143 0.214285714286 0.642857142857
2084 0.928571428571 0.214285714286 0.642857142857
2085 1.000000000000 0.214285714286 0.642857142857
2086 0.000000000000 0.285714285714 0.642857142857
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503 5 3 11 11 0 568 569 584 583 793 794 809 808
504 5 3 11 11 0 569 570 585 584 794 795 810 809
505 5 3 1 1 0 571 572 587 586 796 797 812 811
506 5 3 1 1 0 572 573 588 587 797 798 813 812
507 5 3 1 1 0 573 574 589 588 798 799 814 813
508 5 3 1 1 0 574 575 590 589 799 800 815 814
509 5 3 1 1 0 575 576 591 590 800 801 816 815
510 5 3 1 1 0 576 577 592 591 801 802 817 816
511 5 3 1 1 0 577 578 593 592 802 803 818 817
512 5 3 1 1 0 578 579 594 593 803 804 819 818
513 5 3 14 14 0 579 580 595 594 804 805 820 819
514 5 3 14 14 0 580 581 596 595 805 806 821 820
515 5 3 11 11 0 581 582 597 596 806 807 822 821
516 5 3 11 11 0 582 583 598 597 807 808 823 822
517 5 3 11 11 0 583 584 599 598 808 809 824 823
518 5 3 11 11 0 584 585 600 599 809 810 825 824
519 5 3 1 1 0 586 587 602 601 811 812 827 826
520 5 3 1 1 0 587 588 603 602 812 813 828 827
521 5 3 1 1 0 588 589 604 603 813 814 829 828
522 5 3 1 1 0 589 590 605 604 814 815 830 829
523 5 3 1 1 0 590 591 606 605 815 816 831 830
524 5 3 1 1 0 591 592 607 606 816 817 832 831
525 5 3 1 1 0 592 593 608 607 817 818 833 832
526 5 3 1 1 0 593 594 609 608 818 819 834 833
527 5 3 1 1 0 594 595 610 609 819 820 835 834
528 5 3 11 11 0 595 596 611 610 820 821 836 835
529 5 3 11 11 0 596 597 612 611 821 822 837 836
530 5 3 11 11 0 597 598 613 612 822 823 838 837
531 5 3 11 11 0 598 599 614 613 823 824 839 838
532 5 3 11 11 0 599 600 615 614 824 825 840 839
533 5 3 1 1 0 601 602 617 616 826 827 842 841
534 5 3 1 1 0 602 603 618 617 827 828 843 842
535 5 3 1 1 0 603 604 619 618 828 829 844 843
536 5 3 1 1 0 604 605 620 619 829 830 845 844
537 5 3 1 1 0 605 606 621 620 830 831 846 845
538 5 3 1 1 0 606 607 622 621 831 832 847 846
539 5 3 1 1 0 607 608 623 622 832 833 848 847
540 5 3 1 1 0 608 609 624 623 833 834 849 848
541 5 3 1 1 0 609 610 625 624 834 835 850 849
542 5 3 11 11 0 610 611 626 625 835 836 851 850
543 5 3 11 11 0 611 612 627 626 836 837 852 851
544 5 3 11 11 0 612 613 628 627 837 838 853 852
545 5 3 11 11 0 613 614 629 628 838 839 854 853
546 5 3 11 11 0 614 615 630 629 839 840 855 854
547 5 3 1 1 0 616 617 632 631 841 842 857 856
548 5 3 1 1 0 617 618 633 632 842 843 858 857
549 5 3 1 1 0 618 619 634 633 843 844 859 858
550 5 3 1 1 0 619 620 635 634 844 845 860 859
551 5 3 1 1 0 620 621 636 635 845 846 861 860
552 5 3 1 1 0 621 622 637 636 846 847 862 861
553 5 3 1 1 0 622 623 638 637 847 848 863 862
554 5 3 1 1 0 623 624 639 638 848 849 864 863
555 5 3 1 1 0 624 625 640 639 849 850 865 864
556 5 3 11 11 0 625 626 641 640 850 851 866 865
557 5 3 11 11 0 626 627 642 641 851 852 867 866
558 5 3 11 11 0 627 628 643 642 852 853 868 867
559 5 3 11 11 0 628 629 644 643 853 854 869 868
560 5 3 11 11 0 629 630 645 644 854 855 870 869
561 5 3 1 1 0 631 632 647 646 856 857 872 871
562 5 3 1 1 0 632 633 648 647 857 858 873 872
563 5 3 1 1 0 633 634 649 648 858 859 874 873
564 5 3 1 1 0 634 635 650 649 859 860 875 874
565 5 3 1 1 0 635 636 651 650 860 861 876 875
566 5 3 1 1 0 636 637 652 651 861 862 877 876
567 5 3 1 1 0 637 638 653 652 862 863 878 877
568 5 3 1 1 0 638 639 654 653 863 864 879 878
569 5 3 1 1 0 639 640 655 654 864 865 880 879
570 5 3 11 11 0 640 641 656 655 865 866 881 880
571 5 3 11 11 0 641 642 657 656 866 867 882 881
572 5 3 11 11 0 642 643 658 657 867 868 883 882
573 5 3 11 11 0 643 644 659 658 868 869 884 883
574 5 3 11 11 0 644 645 660 659 869 870 885 884
575 5 3 1 1 0 646 647 662 661 871 872 887 886
576 5 3 1 1 0 647 648 663 662 872 873 888 887
577 5 3 1 1 0 648 649 664 663 873 874 889 888
578 5 3 1 1 0 649 650 665 664 874 875 890 889
579 5 3 1 1 0 650 651 666 665 875 876 891 890
580 5 3 1 1 0 651 652 667 666 876 877 892 891
581 5 3 1 1 0 652 653 668 667 877 878 893 892
582 5 3 1 1 0 653 654 669 668 878 879 894 893
583 5 3 1 1 0 654 655 670 669 879 880 895 894
584 5 3 11 11 0 655 656 671 670 880 881 896 895
585 5 3 11 11 0 656 657 672 671 881 882 897 896
586 5 3 11 11 0 657 658 673 672 882 883 898 897
587 5 3 11 11 0 658 659 674 673 883 884 899 898
588 5 3 11 11 0 659 660 675 674 884 885 900 899
589 5 3 19 19 0 676 677 692 691 901 902 917 916
590 5 3 19 19 0 677 678 693 692 902 903 918 917
591 5 3 19 19 0 678 679 694 693 903 904 919 918
592 5 3 19 19 0 679 680 695 694 904 905 920 919
593 5 3 19 19 0 680 681 696 695 905 906 921 920
594 5 3 19 19 0 681 682 697 696 906 907 922 921
595 5 3 19 19 0 682 683 698 697 907 908 923 922
596 5 3 19 19 0 683 684 699 698 908 909 924 923
597 5 3 20 20 0 684 685 700 699 909 910 925 924
598 5 3 20 20 0 685 686 701 700 910 911 926 925
599 5 3 20 20 0 686 687 702 701 911 912 927 926
600 5 3 20 20 0 687 688 703 702 912 913 928 927
601 5 3 20 20 0 688 689 704 703 913 914 929 928
602 5 3 20 20 0 689 690 705 704 914 915 930 929
603 5 3 19 19 0 691 692 707 706 916 917 932 931
604 5 3 19 19 0 692 693 708 707 917 918 933 932
605 5 3 19 19 0 693 694 709 708 918 919 934 933
606 5 3 19 19 0 694 695 710 709 919 920 935 934
607 5 3 19 19 0 695 696 711 710 920 921 936 935
608 5 3 19 19 0 696 697 712 711 921 922 937 936
609 5 3 19 19 0 697 698 713 712 922 923 938 937
610 5 3 19 19 0 698 699 714 713 923 924 939 938
611 5 3 20 20 0 699 700 715 714 924 925 940 939
612 5 3 20 20 0 700 701 716 715 925 926 941 940
613 5 3 20 20 0 701 702 717 716 926 927 942 941
614 5 3 20 20 0 702 703 718 717 927 928 943 942
615 5 3 20 20 0 703 704 719 718 928 929 944 943
616 5 3 20 20 0 704 705 720 719 929 930 945 944
617 5 3 19 19 0 706 707 722 721 931 932 947 946
618 5 3 19 19 0 707 708 723 722 932 933 948 947
619 5 3 19 19 0 708 709 724 723 933 934 949 948
620 5 3 19 19 0 709 710 725 724 934 935 950 949
621 5 3 19 19 0 710 711 726 725 935 936 951 950
622 5 3 19 19 0 711 712 727 726 936 937 952 951
623 5 3 19 19 0 712 713 728 727 937 938 953 952
624 5 3 19 19 0 713 714 729 728 938 939 954 953
625 5 3 20 20 0 714 715 730 729 939 940 955 954
626 5 3 20 20 0 715 716 731 730 940 941 956 955
627 5 3 20 20 0 716 717 732 731 941 942 957 956
628 5 3 20 20 0 717 718 733 732 942 943 958 957
629 5 3 20 20 0 718 719 734 733 943 944 959 958
630 5 3 20 20 0 719 720 735 734 944 945 960 959
631 5 3 19 19 0 721 722 737 736 946 947 962 961
632 5 3 19 19 0 722 723 738 737 947 948 963 962
633 5 3 19 19 0 723 724 739 738 948 949 964 963
634 5 3 19 19 0 724 725 740 739 949 950 965 964
635 5 3 19 19 0 725 726 741 740 950 951 966 965
636 5 3 19 19 0 726 727 742 741 951 952 967 966
637 5 3 19 19 0 727 728 743 742 952 953 968 967
638 5 3 19 19 0 728 729 744 743 953 954 969 968
639 5 3 20 20 0 729 730 745 744 954 955 970 969
640 5 3 20 20 0 730 731 746 745 955 956 971 970
641 5 3 20 20 0 731 732 747 746 956 957 972 971
642 5 3 20 20 0 732 733 748 747 957 958 973 972
643 5 3 20 20 0 733 734 749 748 958 959 974 973
644 5 3 20 20 0 734 735 750 749 959 960 975 974
645 5 3 19 19 0 736 737 752 751 961 962 977 976
646 5 3 19 19 0 737 738 753 752 962 963 978 977
647 5 3 19 19 0 738 739 754 753 963 964 979 978
648 5 3 19 19 0 739 740 755 754 964 965 980 979
649 5 3 19 19 0 740 741 756 755 965 966 981 980
650 5 3 19 19 0 741 742 757 756 966 967 982 981
651 5 3 19 19 0 742 743 758 757 967 968 983 982
652 5 3 19 19 0 743 744 759 758 968 969 984 983
653 5 3 20 20 0 744 745 760 759 969 970 985 984
654 5 3 20 20 0 745 746 761 760 970 971 986 985
655 5 3 20 20 0 746 747 762 761 971 972 987 986
656 5 3 20 20 0 747 748 763 762 972 973 988 987
657 5 3 20 20 0 748 749 764 763 973 974 989 988
658 5 3 20 20 0 749 750 765 764 974 975 990 989
659 5 3 19 19 0 751 752 767 766 976 977 992 991
660 5 3 19 19 0 752 753 768 767 977 978 993 992
661 5 3 19 19 0 753 754 769 768 978 979 994 993
662 5 3 19 19 0 754 755 770 769 979 980 995 994
663 5 3 19 19 0 755 756 771 770 980 981 996 995
664 5 3 19 19 0 756 757 772 771 981 982 997 996
665 5 3 19 19 0 757 758 773 772 982 983 998 997
666 5 3 19 19 0 758 759 774 773 983 984 999 998
667 5 3 14 14 0 759 760 775 774 984 985 1000 999
668 5 3 20 20 0 760 761 776 775 985 986 1001 1000
669 5 3 20 20 0 761 762 777 776 986 987 1002 1001
670 5 3 20 20 0 762 763 778 777 987 988 1003 1002
671 5 3 20 20 0 763 764 779 778 988 989 1004 1003
672 5 3 20 20 0 764 765 780 779 989 990 1005 1004
673 5 3 1 1 0 766 767 782 781 991 992 1007 1006
674 5 3 1 1 0 767 768 783 782 992 993 1008 1007
675 5 3 1 1 0 768 769 784 783 993 994 1009 1008
676 5 3 1 1 0 769 770 785 784 994 995 1010 1009
677 5 3 1 1 0 770 771 786 785 995 996 1011 1010
678 5 3 1 1 0 771 772 787 786 996 997 1012 1011
679 5 3 1 1 0 772 773 788 787 997 998 1013 1012
680 5 3 14 14 0 773 774 789 788 998 999 1014 1013
681 5 3 14 14 0 774 775 790 789 999 1000 1015 1014
682 5 3 14 14 0 775 776 791 790 1000 1001 1016 1015
683 5 3 14 14 0 776 777 792 791 1001 1002 1017 1016
684 5 3 20 20 0 777 778 793 792 1002 1003 1018 1017
685 5 3 20 20 0 778 779 794 793 1003 1004 1019 1018
686 5 3 20 20 0 779 780 795 794 1004 1005 1020 1019
687 5 3 1 1 0 781 782 797 796 1006 1007 1022 1021
688 5 3 1 1 0 782 783 798 797 1007 1008 1023 1022
689 5 3 1 1 0 783 784 799 798 1008 1009 1024 1023
690 5 3 1 1 0 784 785 800 799 1009 1010 1025 1024
691 5 3 1 1 0 785 786 801 800 1010 1011 1026 1025
692 5 3 1 1 0 786 787 802 801 1011 1012 1027 1026
693 5 3 1 1 0 787 788 803 802 1012 1013 1028 1027
694 5 3 14 14 0 788 789 804 803 1013 1014 1029 1028
695 5 3 14 14 0 789 790 805 804 1014 1015 1030 1029
696 5 3 14 14 0 790 791 806 805 1015 1016 1031 1030
697 5 3 14 14 0 791 792 807 806 1016 1017 1032 1031
698 5 3 14 14 0 792 793 808 807 1017 1018 1033 1032
699 5 3 13 13 0 793 794 809 808 1018 1019 1034 1033
700 5 3 13 13 0 794 795 810 809 1019 1020 1035 1034
701 5 3 1 1 0 796 797 812 811 1021 1022 1037 1036
702 5 3 1 1 0 797 798 813 812 1022 1023 1038 1037
703 5 3 1 1 0 798 799 814 813 1023 1024 1039 1038
704 5 3 1 1 0 799 800 815 814 1024 1025 1040 1039
705 5 3 1 1 0 800 801 816 815 1025 1026 1041 1040
706 5 3 1 1 0 801 802 817 816 1026 1027 1042 1041
707 5 3 1 1 0 802 803 818 817 1027 1028 1043 1042
708 5 3 1 1 0 803 804 819 818 1028 1029 1044 1043
709 5 3 14 14 0 804 805 820 819 1029 1030 1045 1044
710 5 3 14 14 0 805 806 821 820 1030 1031 1046 1045
711 5 3 14 14 0 806 807 822 821 1031 1032 1047 1046
712 5 3 11 11 0 807 808 823 822 1032 1033 1048 1047
713 5 3 11 11 0 808 809 824 823 1033 1034 1049 1048
714 5 3 11 11 0 809 810 825 824 1034 1035 1050 1049
715 5 3 1 1 0 811 812 827 826 1036 1037 1052 1051
716 5 3 1 1 0 812 813 828 827 1037 1038 1053 1052
717 5 3 1 1 0 813 814 829 828 1038 1039 1054 1053
718 5 3 1 1 0 814 815 830 829 1039 1040 1055 1054
719 5 3 1 1 0 815 816 831 830 1040 1041 1056 1055
720 5 3 1 1 0 816 817 832 831 1041 1042 1057 1056
721 5 3 1 1 0 817 818 833 832 1042 1043 1058 1057
722 5 3 1 1 0 818 819 834 833 1043 1044 1059 1058
723 5 3 1 1 0 819 820 835 834 1044 1045 1060 1059
724 5 3 11 11 0 820 821 836 835 1045 1046 1061 1060
725 5 3 11 11 0 821 822 837 836 1046 1047 1062 1061
726 5 3 11 11 0 822 823 838 837 1047 1048 1063 1062
727 5 3 11 11 0 823 824 839 838 1048 1049 1064 1063
728 5 3 11 11 0 824 825 840 839 1049 1050 1065 1064
729 5 3 1 1 0 826 827 842 841 1051 1052 1067 1066
730 5 3 1 1 0 827 828 843 842 1052 1053 1068 1067
731 5 3 1 1 0 828 829 844 843 1053 1054 1069 1068
732 5 3 1 1 0 829 830 845 844 1054 1055 1070 1069
733 5 3 1 1 0 830 831 846 845 1055 1056 1071 1070
734 5 3 1 1 0 831 832 847 846 1056 1057 1072 1071
735 5 3 1 1 0 832 833 848 847 1057 1058 1073 1072
736 5 3 1 1 0 833 834 849 848 1058 1059 1074 1073
737 5 3 1 1 0 834 835 850 849 1059 1060 1075 1074
738 5 3 11 11 0 835 836 851 850 1060 1061 1076 1075
739 5 3 11 11 0 836 837 852 851 1061 1062 1077 1076
740 5 3 11 11 0 837 838 853 852 1062 1063 1078 1077
741 5 3 11 11 0 838 839 854 853 1063 1064 1079 1078
742 5 3 11 11 0 839 840 855 854 1064 1065 1080 1079
743 5 3 1 1 0 841 842 857 856 1066 1067 1082 1081
744 5 3 1 1 0 842 843 858 857 1067 1068 1083 1082
745 5 3 1 1 0 843 844 859 858 1068 1069 1084 1083
746 5 3 1 1 0 844 845 860 859 1069 1070 1085 1084
747 5 3 1 1 0 845 846 861 860 1070 1071 1086 1085
748 5 3 1 1 0 846 847 862 861 1071 1072 1087 1086
749 5 3 1 1 0 847 848 863 862 1072 1073 1088 1087
750 5 3 1 1 0 848 849 864 863 1073 1074 1089 1088
751 5 3 1 1 0 849 850 865 864 1074 1075 1090 1089
752 5 3 11 11 0 850 851 866 865 1075 1076 1091 1090
753 5 3 11 11 0 851 852 867 866 1076 1077 1092 1091
754 5 3 11 11 0 852 853 868 867 1077 1078 1093 1092
755 5 3 11 11 0 853 854 869 868 1078 1079 1094 1093
756 5 3 11 11 0 854 855 870 869 1079 1080 1095 1094
757 5 3 1 1 0 856 857 872 871 1081 1082 1097 1096
758 5 3 1 1 0 857 858 873 872 1082 1083 1098 1097
759 5 3 1 1 0 858 859 874 873 1083 1084 1099 1098
760 5 3 1 1 0 859 860 875 874 1084 1085 1100 1099
761 5 3 1 1 0 860 861 876 875 1085 1086 1101 1100
762 5 3 1 1 0 861 862 877 876 1086 1087 1102 1101
763 5 3 1 1 0 862 863 878 877 1087 1088 1103 1102
764 5 3 1 1 0 863 864 879 878 1088 1089 1104 1103
765 5 3 1 1 0 864 865 880 879 1089 1090 1105 1104
766 5 3 11 11 0 865 866 881 880 1090 1091 1106 1105
767 5 3 11 11 0 866 867 882 881 1091 1092 1107 1106
768 5 3 11 11 0 867 868 883 882 1092 1093 1108 1107
769 5 3 11 11 0 868 869 884 883 1093 1094 1109 1108
770 5 3 11 11 0 869 870 885 884 1094 1095 1110 1109
771 5 3 1 1 0 871 872 887 886 1096 1097 1112 1111
772 5 3 1 1 0 872 873 888 887 1097 1098 1113 1112
773 5 3 1 1 0 873 874 889 888 1098 1099 1114 1113
774 5 3 1 1 0 874 875 890 889 1099 1100 1115 1114
775 5 3 1 1 0 875 876 891 890 1100 1101 1116 1115
776 5 3 1 1 0 876 877 892 891 1101 1102 1117 1116
777 5 3 1 1 0 877 878 893 892 1102 1103 1118 1117
778 5 3 1 1 0 878 879 894 893 1103 1104 1119 1118
779 5 3 1 1 0 879 880 895 894 1104 1105 1120 1119
780 5 3 11 11 0 880 881 896 895 1105 1106 1121 1120
781 5 3 11 11 0 881 882 897 896 1106 1107 1122 1121
782 5 3 11 11 0 882 883 898 897 1107 1108 1123 1122
783 5 3 11 11 0 883 884 899 898 1108 1109 1124 1123
784 5 3 11 11 0 884 885 900 899 1109 1110 1125 1124
785 5 3 19 19 0 901 902 917 916 1126 1127 1142 1141
786 5 3 19 19 0 902 903 918 917 1127 1128 1143 1142
787 5 3 19 19 0 903 904 919 918 1128 1129 1144 1143
788 5 3 19 19 0 904 905 920 919 1129 1130 1145 1144
789 5 3 19 19 0 905 906 921 920 1130 1131 1146 1145
790 5 3 19 19 0 906 907 922 921 1131 1132 1147 1146
791 5 3 19 19 0 907 908 923 922 1132 1133 1148 1147
792 5 3 19 19 0 908 909 924 923 1133 1134 1149 1148
793 5 3 20 20 0 909 910 925 924 1134 1135 1150 1149
794 5 3 20 20 0 910 911 926 925 1135 1136 1151 1150
795 5 3 20 20 0 911 912 927 926 1136 1137 1152 1151
796 5 3 20 20 0 912 913 928 927 1137 1138 1153 1152
797 5 3 20 20 0 913 914 929 928 1138 1139 1154 1153
798 5 3 20 20 0 914 915 930 929 1139 1140 1155 1154
799 5 3 19 19 0 916 917 932 931 1141 1142 1157 1156
800 5 3 19 19 0 917 918 933 932 1142 1143 1158 1157
801 5 3 19 19 0 918 919 934 933 1143 1144 1159 1158
802 5 3 19 19 0 919 920 935 934 1144 1145 1160 1159
803 5 3 19 19 0 920 921 936 935 1145 1146 1161 1160
804 5 3 19 19 0 921 922 937 936 1146 1147 1162 1161
805 5 3 19 19 0 922 923 938 937 1147 1148 1163 1162
806 5 3 19 19 0 923 924 939 938 1148 1149 1164 1163
807 5 3 20 20 0 924 925 940 939 1149 1150 1165 1164
808 5 3 20 20 0 925 926 941 940 1150 1151 1166 1165
809 5 3 20 20 0 926 927 942 941 1151 1152 1167 1166
810 5 3 20 20 0 927 928 943 942 1152 1153 1168 1167
811 5 3 20 20 0 928 929 944 943 1153 1154 1169 1168
812 5 3 20 20 0 929 930 945 944 1154 1155 1170 1169
813 5 3 19 19 0 931 932 947 946 1156 1157 1172 1171
814 5 3 19 19 0 932 933 948 947 1157 1158 1173 1172
815 5 3 19 19 0 933 934 949 948 1158 1159 1174 1173
816 5 3 19 19 0 934 935 950 949 1159 1160 1175 1174
817 5 3 19 19 0 935 936 951 950 1160 1161 1176 1175
818 5 3 19 19 0 936 937 952 951 1161 1162 1177 1176
819 5 3 19 19 0 937 938 953 952 1162 1163 1178 1177
820 5 3 19 19 0 938 939 954 953 1163 1164 1179 1178
821 5 3 20 20 0 939 940 955 954 1164 1165 1180 1179
822 5 3 20 20 0 940 941 956 955 1165 1166 1181 1180
823 5 3 20 20 0 941 942 957 956 1166 1167 1182 1181
824 5 3 20 20 0 942 943 958 957 1167 1168 1183 1182
825 5 3 20 20 0 943 944 959 958 1168 1169 1184 1183
826 5 3 20 20 0 944 945 960 959 1169 1170 1185 1184
827 5 3 2 2 0 946 947 962 961 1171 1172 1187 1186
828 5 3 19 19 0 947 948 963 962 1172 1173 1188 1187
829 5 3 19 19 0 948 949 964 963 1173 1174 1189 1188
830 5 3 19 19 0 949 950 965 964 1174 1175 1190 1189
831 5 3 19 19 0 950 951 966 965 1175 1176 1191 1190
832 5 3 19 19 0 951 952 967 966 1176 1177 1192 1191
833 5 3 19 19 0 952 953 968 967 1177 1178 1193 1192
834 5 3 19 19 0 953 954 969 968 1178 1179 1194 1193
835 5 3 20 20 0 954 955 970 969 1179 1180 1195 1194
836 5 3 20 20 0 955 956 971 970 1180 1181 1196 1195
837 5 3 20 20 0 956 957 972 971 1181 1182 1197 1196
838 5 3 20 20 0 957 958 973 972 1182 1183 1198 1197
839 5 3 20 20 0 958 959 974 973 1183 1184 1199 1198
840 5 3 20 20 0 959 960 975 974 1184 1185 1200 1199
841 5 3 2 2 0 961 962 977 976 1186 1187 1202 1201
842 5 3 2 2 0 962 963 978 977 1187 1188 1203 1202
843 5 3 19 19 0 963 964 979 978 1188 1189 1204 1203
844 5 3 19 19 0 964 965 980 979 1189 1190 1205 1204
845 5 3 19 19 0 965 966 981 980 1190 1191 1206 1205
846 5 3 19 19 0 966 967 982 981 1191 1192 1207 1206
847 5 3 19 19 0 967 968 983 982 1192 1193 1208 1207
848 5 3 8 8 0 968 969 984 983 1193 1194 1209 1208
849 5 3 8 8 0 969 970 985 984 1194 1195 1210 1209
850 5 3 20 20 0 970 971 986 985 1195 1196 1211 1210
851 5 3 20 20 0 971 972 987 986 1196 1197 1212 1211
852 5 3 20 20 0 972 973 988 987 1197 1198 1213 1212
853 5 3 20 20 0 973 974 989 988 1198 1199 1214 1213
854 5 3 20 20 0 974 975 990 989 1199 1200 1215 1214
855 5 3 2 2 0 976 977 992 991 1201 1202 1217 1216
856 5 3 2 2 0 977 978 993 992 1202 1203 1218 1217
857 5 3 19 19 0 978 979 994 993 1203 1204 1219 1218
858 5 3 19 19 0 979 980 995 994 1204 1205 1220 1219
859 5 3 19 19 0 980 981 996 995 1205 1206 1221 1220
860 5 3 19 19 0 981 982 997 996 1206 1207 1222 1221
861 5 3 19 19 0 982 983 998 997 1207 1208 1223 1222
862 5 3 8 8 0 983 984 999 998 1208 1209 1224 1223
863 5 3 8 8 0 984 985 1000 999 1209 1210 1225 1224
864 5 3 14 14 0 985 986 1001 1000 1210 1211 1226 1225
865 5 3 20 20 0 986 987 1002 1001 1211 1212 1227 1226
866 5 3 20 20 0 987 988 1003 1002 1212 1213 1228 1227
867 5 3 20 20 0 988 989 1004 1003 1213 1214 1229 1228
868 5 3 20 20 0 989 990 1005 1004 1214 1215 1230 1229
869 5 3 1 1 0 991 992 1007 1006 1216 1217 1232 1231
870 5 3 1 1 0 992 993 1008 1007 1217 1218 1233 1232
871 5 3 1 1 0 993 994 1009 1008 1218 1219 1234 1233
872 5 3 1 1 0 994 995 1010 1009 1219 1220 1235 1234
873 5 3 1 1 0 995 996 1011 1010 1220 1221 1236 1235
874 5 3 1 1 0 996 997 1012 1011 1221 1222 1237 1236
875 5 3 8 8 0 997 998 1013 1012 1222 1223 1238 1237
876 5 3 8 8 0 998 999 1014 1013 1223 1224 1239 1238
877 5 3 14 14 0 999 1000 1015 1014 1224 1225 1240 1239
878 5 3 14 14 0 1000 1001 1016 1015 1225 1226 1241 1240
879 5 3 14 14 0 1001 1002 1017 1016 1226 1227 1242 1241
880 5 3 20 20 0 1002 1003 1018 1017 1227 1228 1243 1242
881 5 3 13 13 0 1003 1004 1019 1018 1228 1229 1244 1243
882 5 3 13 13 0 1004 1005 1020 1019 1229 1230 1245 1244
883 5 3 1 1 0 1006 1007 1022 1021 1231 1232 1247 1246
884 5 3 1 1 0 1007 1008 1023 1022 1232 1233 1248 1247
885 5 3 1 1 0 1008 1009 1024 1023 1233 1234 1249 1248
886 5 3 1 1 0 1009 1010 1025 1024 1234 1235 1250 1249
887 5 3 1 1 0 1010 1011 1026 1025 1235 1236 1251 1250
888 5 3 1 1 0 1011 1012 1027 1026 1236 1237 1252 1251
889 5 3 1 1 0 1012 1013 1028 1027 1237 1238 1253 1252
890 5 3 14 14 0 1013 1014 1029 1028 1238 1239 1254 1253
891 5 3 14 14 0 1014 1015 1030 1029 1239 1240 1255 1254
892 5 3 14 14 0 1015 1016 1031 1030 1240 1241 1256 1255
893 5 3 14 14 0 1016 1017 1032 1031 1241 1242 1257 1256
894 5 3 13 13 0 1017 1018 1033 1032 1242 1243 1258 1257
895 5 3 13 13 0 1018 1019 1034 1033 1243 1244 1259 1258
896 5 3 13 13 0 1019 1020 1035 1034 1244 1245 1260 1259
897 5 3 1 1 0 1021 1022 1037 1036 1246 1247 1262 1261
898 5 3 1 1 0 1022 1023 1038 1037 1247 1248 1263 1262
899 5 3 1 1 0 1023 1024 1039 1038 1248 1249 1264 1263
900 5 3 1 1 0 1024 1025 1040 1039 1249 1250 1265 1264
901 5 3 1 1 0 1025 1026 1041 1040 1250 1251 1266 1265
902 5 3 1 1 0 1026 1027 1042 1041 1251 1252 1267 1266
903 5 3 1 1 0 1027 1028 1043 1042 1252 1253 1268 1267
904 5 3 1 1 0 1028 1029 1044 1043 1253 1254 1269 1268
905 5 3 14 14 0 1029 1030 1045 1044 1254 1255 1270 1269
906 5 3 14 14 0 1030 1031 1046 1045 1255 1256 1271 1270
907 5 3 5 5 0 1031 1032 1047 1046 1256 1257 1272 1271
908 5 3 13 13 0 1032 1033 1048 1047 1257 1258 1273 1272
909 5 3 13 13 0 1033 1034 1049 1048 1258 1259 1274 1273
910 5 3 13 13 0 1034 1035 1050 1049 1259 1260 1275 1274
911 5 3 1 1 0 1036 1037 1052 1051 1261 1262 1277 1276
912 5 3 1 1 0 1037 1038 1053 1052 1262 1263 1278 1277
913 5 3 1 1 0 1038 1039 1054 1053 1263 1264 1279 1278
914 5 3 1 1 0 1039 1040 1055 1054 1264 1265 1280 1279
915 5 3 1 1 0 1040 1041 1056 1055 1265 1266 1281 1280
916 5 3 1 1 0 1041 1042 1057 1056 1266 1267 1282 1281
917 5 3 1 1 0 1042 1043 1058 1057 1267 1268 1283 1282
918 5 3 1 1 0 1043 1044 1059 1058 1268 1269 1284 1283
919 5 3 5 5 0 1044 1045 1060 1059 1269 1270 1285 1284
920 5 3 5 5 0 1045 1046 1061 1060 1270 1271 1286 1285
921 5 3 5 5 0 1046 1047 1062 1061 1271 1272 1287 1286
922 5 3 11 11 0 1047 1048 1063 1062 1272 1273 1288 1287
923 5 3 11 11 0 1048 1049 1064 1063 1273 1274 1289 1288
924 5 3 11 11 0 1049 1050 1065 1064 1274 1275 1290 1289
925 5 3 1 1 0 1051 1052 1067 1066 1276 1277 1292 1291
926 5 3 1 1 0 1052 1053 1068 1067 1277 1278 1293 1292
927 5 3 1 1 0 1053 1054 1069 1068 1278 1279 1294 1293
928 5 3 1 1 0 1054 1055 1070 1069 1279 1280 1295 1294
929 5 3 1 1 0 1055 1056 1071 1070 1280 1281 1296 1295
930 5 3 1 1 0 1056 1057 1072 1071 1281 1282 1297 1296
931 5 3 1 1 0 1057 1058 1073 1072 1282 1283 1298 1297
932 5 3 1 1 0 1058 1059 1074 1073 1283 1284 1299 1298
933 5 3 5 5 0 1059 1060 1075 1074 1284 1285 1300 1299
934 5 3 5 5 0 1060 1061 1076 1075 1285 1286 1301 1300
935 5 3 11 11 0 1061 1062 1077 1076 1286 1287 1302 1301
936 5 3 11 11 0 1062 1063 1078 1077 1287 1288 1303 1302
937 5 3 11 11 0 1063 1064 1079 1078 1288 1289 1304 1303
938 5 3 11 11 0 1064 1065 1080 1079 1289 1290 1305 1304
939 5 3 1 1 0 1066 1067 1082 1081 1291 1292 1307 1306
940 5 3 1 1 0 1067 1068 1083 1082 1292 1293 1308 1307
941 5 3 1 1 0 1068 1069 1084 1083 1293 1294 1309 1308
942 5 3 1 1 0 1069 1070 1085 1084 1294 1295 1310 1309
943 5 3 1 1 0 1070 1071 1086 1085 1295 1296 1311 1310
944 5 3 1 1 0 1071 1072 1087 1086 1296 1297 1312 1311
945 5 3 1 1 0 1072 1073 1088 1087 1297 1298 1313 1312
946 5 3 1 1 0 1073 1074 1089 1088 1298 1299 1314 1313
947 5 3 24 24 0 1074 1075 1090 1089 1299 1300 1315 1314
948 5 3 24 24 0 1075 1076 1091 1090 1300 1301 1316 1315
949 5 3 11 11 0 1076 1077 1092 1091 1301 1302 1317 1316
950 5 3 11 11 0 1077 1078 1093 1092 1302 1303 1318 1317
951 5 3 11 11 0 1078 1079 1094 1093 1303 1304 1319 1318
952 5 3 11 11 0 1079 1080 1095 1094 1304 1305 1320 1319
953 5 3 1 1 0 1081 1082 1097 1096 1306 1307 1322 1321
954 5 3 1 1 0 1082 1083 1098 1097 1307 1308 1323 1322
955 5 3 1 1 0 1083 1084 1099 1098 1308 1309 1324 1323
956 5 3 1 1 0 1084 1085 1100 1099 1309 1310 1325 1324
957 5 3 1 1 0 1085 1086 1101 1100 1310 1311 1326 1325
958 5 3 1 1 0 1086 1087 1102 1101 1311 1312 1327 1326
959 5 3 1 1 0 1087 1088 1103 1102 1312 1313 1328 1327
960 5 3 1 1 0 1088 1089 1104 1103 1313 1314 1329 1328
961 5 3 24 24 0 1089 1090 1105 1104 1314 1315 1330 1329
962 5 3 24 24 0 1090 1091 1106 1105 1315 1316 1331 1330
963 5 3 11 11 0 1091 1092 1107 1106 1316 1317 1332 1331
964 5 3 11 11 0 1092 1093 1108 1107 1317 1318 1333 1332
965 5 3 11 11 0 1093 1094 1109 1108 1318 1319 1334 1333
966 5 3 11 11 0 1094 1095 1110 1109 1319 1320 1335 1334
967 5 3 1 1 0 1096 1097 1112 1111 1321 1322 1337 1336
968 5 3 1 1 0 1097 1098 1113 1112 1322 1323 1338 1337
969 5 3 1 1 0 1098 1099 1114 1113 1323 1324 1339 1338
970 5 3 1 1 0 1099 1100 1115 1114 1324 1325 1340 1339
971 5 3 1 1 0 1100 1101 1116 1115 1325 1326 1341 1340
972 5 3 1 1 0 1101 1102 1117 1116 1326 1327 1342 1341
973 5 3 1 1 0 1102 1103 1118 1117 1327 1328 1343 1342
974 5 3 1 1 0 1103 1104 1119 1118 1328 1329 1344 1343
975 5 3 24 24 0 1104 1105 1120 1119 1329 1330 1345 1344
976 5 3 24 24 0 1105 1106 1121 1120 1330 1331 1346 1345
977 5 3 11 11 0 1106 1107 1122 1121 1331 1332 1347 1346
978 5 3 11 11 0 1107 1108 1123 1122 1332 1333 1348 1347
979 5 3 11 11 0 1108 1109 1124 1123 1333 1334 1349 1348
980 5 3 11 11 0 1109 1110 1125 1124 1334 1335 1350 1349
981 5 3 2 2 0 1126 1127 1142 1141 1351 1352 1367 1366
982 5 3 2 2 0 1127 1128 1143 1142 1352 1353 1368 1367
983 5 3 19 19 0 1128 1129 1144 1143 1353 1354 1369 1368
984 5 3 19 19 0 1129 1130 1145 1144 1354 1355 1370 1369
985 5 3 19 19 0 1130 1131 1146 1145 1355 1356 1371 1370
986 5 3 19 19 0 1131 1132 1147 1146 1356 1357 1372 1371
987 5 3 19 19 0 1132 1133 1148 1147 1357 1358 1373 1372
988 5 3 9 9 0 1133 1134 1149 1148 1358 1359 1374 1373
989 5 3 9 9 0 1134 1135 1150 1149 1359 1360 1375 1374
990 5 3 9 9 0 1135 1136 1151 1150 1360 1361 1376 1375
991 5 3 20 20 0 1136 1137 1152 1151 1361 1362 1377 1376
992 5 3 20 20 0 1137 1138 1153 1152 1362 1363 1378 1377
993 5 3 20 20 0 1138 1139 1154 1153 1363 1364 1379 1378
994 5 3 20 20 0 1139 1140 1155 1154 1364 1365 1380 1379
995 5 3 2 2 0 1141 1142 1157 1156 1366 1367 1382 1381
996 5 3 2 2 0 1142 1143 1158 1157 1367 1368 1383 1382
997 5 3 2 2 0 1143 1144 1159 1158 1368 1369 1384 1383
998 5 3 19 19 0 1144 1145 1160 1159 1369 1370 1385 1384
999 5 3 19 19 0 1145 1146 1161 1160 1370 1371 1386 1385
1000 5 3 19 19 0 1146 1147 1162 1161 1371 1372 1387 1386
1001 5 3 19 19 0 1147 1148 1163 1162 1372 1373 1388 1387
1002 5 3 9 9 0 1148 1149 1164 1163 1373 1374 1389 1388
1003 5 3 9 9 0 1149 1150 1165 1164 1374 1375 1390 1389
1004 5 3 20 20 0 1150 1151 1166 1165 1375 1376 1391 1390
1005 5 3 20 20 0 1151 1152 1167 1166 1376 1377 1392 1391
1006 5 3 20 20 0 1152 1153 1168 1167 1377 1378 1393 1392
1007 5 3 20 20 0 1153 1154 1169 1168 1378 1379 1394 1393
1008 5 3 20 20 0 1154 1155 1170 1169 1379 1380 1395 1394
1009 5 3 2 2 0 1156 1157 1172 1171 1381 1382 1397 1396
1010 5 3 2 2 0 1157 1158 1173 1172 1382 1383 1398 1397
1011 5 3 2 2 0 1158 1159 1174 1173 1383 1384 1399 1398
1012 5 3 2 2 0 1159 1160 1175 1174 1384 1385 1400 1399
1013 5 3 19 19 0 1160 1161 1176 1175 1385 1386 1401 1400
1014 5 3 19 19 0 1161 1162 1177 1176 1386 1387 1402 1401
1015 5 3 19 19 0 1162 1163 1178 1177 1387 1388 1403 1402
1016 5 3 9 9 0 1163 1164 1179 1178 1388 1389 1404 1403
1017 5 3 9 9 0 1164 1165 1180 1179 1389 1390 1405 1404
1018 5 3 20 20 0 1165 1166 1181 1180 1390 1391 1406 1405
1019 5 3 20 20 0 1166 1167 1182 1181 1391 1392 1407 1406
1020 5 3 20 20 0 1167 1168 1183 1182 1392 1393 1408 1407
1021 5 3 20 20 0 1168 1169 1184 1183 1393 1394 1409 1408
1022 5 3 20 20 0 1169 1170 1185 1184 1394 1395 1410 1409
1023 5 3 2 2 0 1171 1172 1187 1186 1396 1397 1412 1411
1024 5 3 2 2 0 1172 1173 1188 1187 1397 1398 1413 1412
1025 5 3 2 2 0 1173 1174 1189 1188 1398 1399 1414 1413
1026 5 3 2 2 0 1174 1175 1190 1189 1399 1400 1415 1414
1027 5 3 19 19 0 1175 1176 1191 1190 1400 1401 1416 1415
1028 5 3 19 19 0 1176 1177 1192 1191 1401 1402 1417 1416
1029 5 3 19 19 0 1177 1178 1193 1192 1402 1403 1418 1417
1030 5 3 8 8 0 1178 1179 1194 1193 1403 1404 1419 1418
1031 5 3 8 8 0 1179 1180 1195 1194 1404 1405 1420 1419
1032 5 3 20 20 0 1180 1181 1196 1195 1405 1406 1421 1420
1033 5 3 20 20 0 1181 1182 1197 1196 1406 1407 1422 1421
1034 5 3 20 20 0 1182 1183 1198 1197 1407 1408 1423 1422
1035 5 3 20 20 0 1183 1184 1199 1198 1408 1409 1424 1423
1036 5 3 18 18 0 1184 1185 1200 1199 1409 1410 1425 1424
1037 5 3 2 2 0 1186 1187 1202 1201 1411 1412 1427 1426
1038 5 3 2 2 0 1187 1188 1203 1202 1412 1413 1428 1427
1039 5 3 2 2 0 1188 1189 1204 1203 1413 1414 1429 1428
1040 5 3 2 2 0 1189 1190 1205 1204 1414 1415 1430 1429
1041 5 3 2 2 0 1190 1191 1206 1205 1415 1416 1431 1430
1042 5 3 19 19 0 1191 1192 1207 1206 1416 1417 1432 1431
1043 5 3 8 8 0 1192 1193 1208 1207 1417 1418 1433 1432
1044 5 3 8 8 0 1193 1194 1209 1208 1418 1419 1434 1433
1045 5 3 8 8 0 1194 1195 1210 1209 1419 1420 1435 1434
1046 5 3 8 8 0 1195 1196 1211 1210 1420 1421 1436 1435
1047 5 3 20 20 0 1196 1197 1212 1211 1421 1422 1437 1436
1048 5 3 20 20 0 1197 1198 1213 1212 1422 1423 1438 1437
1049 5 3 18 18 0 1198 1199 1214 1213 1423 1424 1439 1438
1050 5 3 18 18 0 1199 1200 1215 1214 1424 1425 1440 1439
1051 5 3 2 2 0 1201 1202 1217 1216 1426 1427 1442 1441
1052 5 3 2 2 0 1202 1203 1218 1217 1427 1428 1443 1442
1053 5 3 2 2 0 1203 1204 1219 1218 1428 1429 1444 1443
1054 5 3 2 2 0 1204 1205 1220 1219 1429 1430 1445 1444
1055 5 3 2 2 0 1205 1206 1221 1220 1430 1431 1446 1445
1056 5 3 8 8 0 1206 1207 1222 1221 1431 1432 1447 1446
1057 5 3 8 8 0 1207 1208 1223 1222 1432 1433 1448 1447
1058 5 3 8 8 0 1208 1209 1224 1223 1433 1434 1449 1448
1059 5 3 8 8 0 1209 1210 1225 1224 1434 1435 1450 1449
1060 5 3 8 8 0 1210 1211 1226 1225 1435 1436 1451 1450
1061 5 3 20 20 0 1211 1212 1227 1226 1436 1437 1452 1451
1062 5 3 18 18 0 1212 1213 1228 1227 1437 1438 1453 1452
1063 5 3 18 18 0 1213 1214 1229 1228 1438 1439 1454 1453
1064 5 3 18 18 0 1214 1215 1230 1229 1439 1440 1455 1454
1065 5 3 2 2 0 1216 1217 1232 1231 1441 1442 1457 1456
1066 5 3 1 1 0 1217 1218 1233 1232 1442 1443 1458 1457
1067 5 3 1 1 0 1218 1219 1234 1233 1443 1444 1459 1458
1068 5 3 1 1 0 1219 1220 1235 1234 1444 1445 1460 1459
1069 5 3 1 1 0 1220 1221 1236 1235 1445 1446 1461 1460
1070 5 3 8 8 0 1221 1222 1237 1236 1446 1447 1462 1461
1071 5 3 8 8 0 1222 1223 1238 1237 1447 1448 1463 1462
1072 5 3 8 8 0 1223 1224 1239 1238 1448 1449 1464 1463
1073 5 3 8 8 0 1224 1225 1240 1239 1449 1450 1465 1464
1074 5 3 8 8 0 1225 1226 1241 1240 1450 1451 1466 1465
1075 5 3 16 16 0 1226 1227 1242 1241 1451 1452 1467 1466
1076 5 3 13 13 0 1227 1228 1243 1242 1452 1453 1468 1467
1077 5 3 13 13 0 1228 1229 1244 1243 1453 1454 1469 1468
1078 5 3 13 13 0 1229 1230 1245 1244 1454 1455 1470 1469
1079 5 3 1 1 0 1231 1232 1247 1246 1456 1457 1472 1471
1080 5 3 1 1 0 1232 1233 1248 1247 1457 1458 1473 1472
1081 5 3 1 1 0 1233 1234 1249 1248 1458 1459 1474 1473
1082 5 3 1 1 0 1234 1235 1250 1249 1459 1460 1475 1474
1083 5 3 1 1 0 1235 1236 1251 1250 1460 1461 1476 1475
1084 5 3 1 1 0 1236 1237 1252 1251 1461 1462 1477 1476
1085 5 3 1 1 0 1237 1238 1253 1252 1462 1463 1478 1477
1086 5 3 8 8 0 1238 1239 1254 1253 1463 1464 1479 1478
1087 5 3 8 8 0 1239 1240 1255 1254 1464 1465 1480 1479
1088 5 3 16 16 0 1240 1241 1256 1255 1465 1466 1481 1480
1089 5 3 16 16 0 1241 1242 1257 1256 1466 1467 1482 1481
1090 5 3 13 13 0 1242 1243 1258 1257 1467 1468 1483 1482
1091 5 3 13 13 0 1243 1244 1259 1258 1468 1469 1484 1483
1092 5 3 13 13 0 1244 1245 1260 1259 1469 1470 1485 1484
1093 5 3 1 1 0 1246 1247 1262 1261 1471 1472 1487 1486
1094 5 3 1 1 0 1247 1248 1263 1262 1472 1473 1488 1487
1095 5 3 1 1 0 1248 1249 1264 1263 1473 1474 1489 1488
1096 5 3 1 1 0 1249 1250 1265 1264 1474 1475 1490 1489
1097 5 3 1 1 0 1250 1251 1266 1265 1475 1476 1491 1490
1098 5 3 1 1 0 1251 1252 1267 1266 1476 1477 1492 1491
1099 5 3 1 1 0 1252 1253 1268 1267 1477 1478 1493 1492
1100 5 3 5 5 0 1253 1254 1269 1268 1478 1479 1494 1493
1101 5 3 5 5 0 1254 1255 1270 1269 1479 1480 1495 1494
1102 5 3 5 5 0 1255 1256 1271 1270 1480 1481 1496 1495
1103 5 3 5 5 0 1256 1257 1272 1271 1481 1482 1497 1496
1104 5 3 13 13 0 1257 1258 1273 1272 1482 1483 1498 1497
1105 5 3 13 13 0 1258 1259 1274 1273 1483 1484 1499 1498
1106 5 3 13 13 0 1259 1260 1275 1274 1484 1485 1500 1499
1107 5 3 1 1 0 1261 1262 1277 1276 1486 1487 1502 1501
1108 5 3 1 1 0 1262 1263 1278 1277 1487 1488 1503 1502
1109 5 3 1 1 0 1263 1264 1279 1278 1488 1489 1504 1503
1110 5 3 1 1 0 1264 1265 1280 1279 1489 1490 1505 1504
1111 5 3 1 1 0 1265 1266 1281 1280 1490 1491 1506 1505
1112 5 3 1 1 0 1266 1267 1282 1281 1491 1492 1507 1506
1113 5 3 1 1 0 1267 1268 1283 1282 1492 1493 1508 1507
1114 5 3 1 1 0 1268 1269 1284 1283 1493 1494 1509 1508
1115 5 3 5 5 0 1269 1270 1285 1284 1494 1495 1510 1509
1116 5 3 5 5 0 1270 1271 1286 1285 1495 1496 1511 1510
1117 5 3 5 5 0 1271 1272 1287 1286 1496 1497 1512 1511
1118 5 3 13 13 0 1272 1273 1288 1287 1497 1498 1513 1512
1119 5 3 13 13 0 1273 1274 1289 1288 1498 1499 1514 1513
1120 5 3 13 13 0 1274 1275 1290 1289 1499 1500 1515 1514
1121 5 3 1 1 0 1276 1277 1292 1291 1501 1502 1517 1516
1122 5 3 1 1 0 1277 1278 1293 1292 1502 1503 1518 1517
1123 5 3 1 1 0 1278 1279 1294 1293 1503 1504 1519 1518
1124 5 3 1 1 0 1279 1280 1295 1294 1504 1505 1520 1519
1125 5 3 1 1 0 1280 1281 1296 1295 1505 1506 1521 1520
1126 5 3 1 1 0 1281 1282 1297 1296 1506 1507 1522 1521
1127 5 3 1 1 0 1282 1283 1298 1297 1507 1508 1523 1522
1128 5 3 1 1 0 1283 1284 1299 1298 1508 1509 1524 1523
1129 5 3 5 5 0 1284 1285 1300 1299 1509 1510 1525 1524
1130 5 3 5 5 0 1285 1286 1301 1300 1510 1511 1526 1525
1131 5 3 5 5 0 1286 1287 1302 1301 1511 1512 1527 1526
1132 5 3 10 10 0 1287 1288 1303 1302 1512 1513 1528 1527
1133 5 3 10 10 0 1288 1289 1304 1303 1513 1514 1529 1528
1134 5 3 10 10 0 1289 1290 1305 1304 1514 1515 1530 1529
1135 5 3 1 1 0 1291 1292 1307 1306 1516 1517 1532 1531
1136 5 3 1 1 0 1292 1293 1308 1307 1517 1518 1533 1532
1137 5 3 1 1 0 1293 1294 1309 1308 1518 1519 1534 1533
1138 5 3 1 1 0 1294 1295 1310 1309 1519 1520 1535 1534
1139 5 3 1 1 0 1295 1296 1311 1310 1520 1521 1536 1535
1140 5 3 1 1 0 1296 1297 1312 1311 1521 1522 1537 1536
1141 5 3 1 1 0 1297 1298 1313 1312 1522 1523 1538 1537
1142 5 3 1 1 0 1298 1299 1314 1313 1523 1524 1539 1538
1143 5 3 24 24 0 1299 1300 1315 1314 1524 1525 1540 1539
1144 5 3 5 5 0 1300 1301 1316 1315 1525 1526 1541 1540
1145 5 3 10 10 0 1301 1302 1317 1316 1526 1527 1542 1541
1146 5 3 10 10 0 1302 1303 1318 1317 1527 1528 1543 1542
1147 5 3 10 10 0 1303 1304 1319 1318 1528 1529 1544 1543
1148 5 3 10 10 0 1304 1305 1320 1319 1529 1530 1545 1544
1149 5 3 1 1 0 1306 1307 1322 1321 1531 1532 1547 1546
1150 5 3 1 1 0 1307 1308 1323 1322 1532 1533 1548 1547
1151 5 3 1 1 0 1308 1309 1324 1323 1533 1534 1549 1548
1152 5 3 1 1 0 1309 1310 1325 1324 1534 1535 1550 1549
1153 5 3 1 1 0 1310 1311 1326 1325 1535 1536 1551 1550
1154 5 3 1 1 0 1311 1312 1327 1326 1536 1537 1552 1551
1155 5 3 1 1 0 1312 1313 1328 1327 1537 1538 1553 1552
1156 5 3 1 1 0 1313 1314 1329 1328 1538 1539 1554 1553
1157 5 3 24 24 0 1314 1315 1330 1329 1539 1540 1555 1554
1158 5 3 24 24 0 1315 1316 1331 1330 1540 1541 1556 1555
1159 5 3 10 10 0 1316 1317 1332 1331 1541 1542 1557 1556
1160 5 3 10 10 0 1317 1318 1333 1332 1542 1543 1558 1557
1161 5 3 10 10 0 1318 1319 1334 1333 1543 1544 1559 1558
1162 5 3 10 10 0 1319 1320 1335 1334 1544 1545 1560 1559
1163 5 3 1 1 0 1321 1322 1337 1336 1546 1547 1562 1561
1164 5 3 1 1 0 1322 1323 1338 1337 1547 1548 1563 1562
1165 5 3 1 1 0 1323 1324 1339 1338 1548 1549 1564 1563
1166 5 3 1 1 0 1324 1325 1340 1339 1549 1550 1565 1564
1167 5 3 1 1 0 1325 1326 1341 1340 1550 1551 1566 1565
1168 5 3 1 1 0 1326 1327 1342 1341 1551 1552 1567 1566
1169 5 3 1 1 0 1327 1328 1343 1342 1552 1553 1568 1567
1170 5 3 24 24 0 1328 1329 1344 1343 1553 1554 1569 1568
1171 5 3 24 24 0 1329 1330 1345 1344 1554 1555 1570 1569
1172 5 3 24 24 0 1330 1331 1346 1345 1555 1556 1571 1570
1173 5 3 10 10 0 1331 1332 1347 1346 1556 1557 1572 1571
1174 5 3 10 10 0 1332 1333 1348 1347 1557 1558 1573 1572
1175 5 3 10 10 0 1333 1334 1349 1348 1558 1559 1574 1573
1176 5 3 10 10 0 1334 1335 1350 1349 1559 1560 1575 1574
1177 5 3 2 2 0 1351 1352 1367 1366 1576 1577 1592 1591
1178 5 3 2 2 0 1352 1353 1368 1367 1577 1578 1593 1592
1179 5 3 2 2 0 1353 1354 1369 1368 1578 1579 1594 1593
1180 5 3 2 2 0 1354 1355 1370 1369 1579 1580 1595 1594
1181 5 3 2 2 0 1355 1356 1371 1370 1580 1581 1596 1595
1182 5 3 9 9 0 1356 1357 1372 1371 1581 1582 1597 1596
1183 5 3 9 9 0 1357 1358 1373 1372 1582 1583 1598 1597
1184 5 3 9 9 0 1358 1359 1374 1373 1583 1584 1599 1598
1185 5 3 9 9 0 1359 1360 1375 1374 1584 1585 1600 1599
1186 5 3 9 9 0 1360 1361 1376 1375 1585 1586 1601 1600
1187 5 3 18 18 0 1361 1362 1377 1376 1586 1587 1602 1601
1188 5 3 18 18 0 1362 1363 1378 1377 1587 1588 1603 1602
1189 5 3 18 18 0 1363 1364 1379 1378 1588 1589 1604 1603
1190 5 3 18 18 0 1364 1365 1380 1379 1589 1590 1605 1604
1191 5 3 2 2 0 1366 1367 1382 1381 1591 1592 1607 1606
1192 5 3 2 2 0 1367 1368 1383 1382 1592 1593 1608 1607
1193 5 3 2 2 0 1368 1369 1384 1383 1593 1594 1609 1608
1194 5 3 2 2 0 1369 1370 1385 1384 1594 1595 1610 1609
1195 5 3 2 2 0 1370 1371 1386 1385 1595 1596 1611 1610
1196 5 3 2 2 0 1371 1372 1387 1386 1596 1597 1612 1611
1197 5 3 9 9 0 1372 1373 1388 1387 1597 1598 1613 1612
1198 5 3 9 9 0 1373 1374 1389 1388 1598 1599 1614 1613
1199 5 3 9 9 0 1374 1375 1390 1389 1599 1600 1615 1614
1200 5 3 9 9 0 1375 1376 1391 1390 1600 1601 1616 1615
1201 5 3 18 18 0 1376 1377 1392 1391 1601 1602 1617 1616
1202 5 3 18 18 0 1377 1378 1393 1392 1602 1603 1618 1617
1203 5 3 18 18 0 1378 1379 1394 1393 1603 1604 1619 1618
1204 5 3 18 18 0 1379 1380 1395 1394 1604 1605 1620 1619
1205 5 3 2 2 0 1381 1382 1397 1396 1606 1607 1622 1621
1206 5 3 2 2 0 1382 1383 1398 1397 1607 1608 1623 1622
1207 5 3 2 2 0 1383 1384 1399 1398 1608 1609 1624 1623
1208 5 3 2 2 0 1384 1385 1400 1399 1609 1610 1625 1624
1209 5 3 2 2 0 1385 1386 1401 1400 1610 1611 1626 1625
1210 5 3 2 2 0 1386 1387 1402 1401 1611 1612 1627 1626
1211 5 3 9 9 0 1387 1388 1403 1402 1612 1613 1628 1627
1212 5 3 9 9 0 1388 1389 1404 1403 1613 1614 1629 1628
1213 5 3 9 9 0 1389 1390 1405 1404 1614 1615 1630 1629
1214 5 3 9 9 0 1390 1391 1406 1405 1615 1616 1631 1630
1215 5 3 18 18 0 1391 1392 1407 1406 1616 1617 1632 1631
1216 5 3 18 18 0 1392 1393 1408 1407 1617 1618 1633 1632
1217 5 3 18 18 0 1393 1394 1409 1408 1618 1619 1634 1633
1218 5 3 18 18 0 1394 1395 1410 1409 1619 1620 1635 1634
1219 5 3 2 2 0 1396 1397 1412 1411 1621 1622 1637 1636
1220 5 3 2 2 0 1397 1398 1413 1412 1622 1623 1638 1637
1221 5 3 2 2 0 1398 1399 1414 1413 1623 1624 1639 1638
1222 5 3 2 2 0 1399 1400 1415 1414 1624 1625 1640 1639
1223 5 3 2 2 0 1400 1401 1416 1415 1625 1626 1641 1640
1224 5 3 2 2 0 1401 1402 1417 1416 1626 1627 1642 1641
1225 5 3 8 8 0 1402 1403 1418 1417 1627 1628 1643 1642
1226 5 3 9 9 0 1403 1404 1419 1418 1628 1629 1644 1643
1227 5 3 9 9 0 1404 1405 1420 1419 1629 1630 1645 1644
1228 5 3 9 9 0 1405 1406 1421 1420 1630 1631 1646 1645
1229 5 3 18 18 0 1406 1407 1422 1421 1631 1632 1647 1646
1230 5 3 18 18 0 1407 1408 1423 1422 1632 1633 1648 1647
1231 5 3 18 18 0 1408 1409 1424 1423 1633 1634 1649 1648
1232 5 3 18 18 0 1409 1410 1425 1424 1634 1635 1650 1649
1233 5 3 2 2 0 1411 1412 1427 1426 1636 1637 1652 1651
1234 5 3 2 2 0 1412 1413 1428 1427 1637 1638 1653 1652
1235 5 3 2 2 0 1413 1414 1429 1428 1638 1639 1654 1653
1236 5 3 2 2 0 1414 1415 1430 1429 1639 1640 1655 1654
1237 5 3 2 2 0 1415 1416 1431 1430 1640 1641 1656 1655
1238 5 3 2 2 0 1416 1417 1432 1431 1641 1642 1657 1656
1239 5 3 8 8 0 1417 1418 1433 1432 1642 1643 1658 1657
1240 5 3 8 8 0 1418 1419 1434 1433 1643 1644 1659 1658
1241 5 3 8 8 0 1419 1420 1435 1434 1644 1645 1660 1659
1242 5 3 8 8 0 1420 1421 1436 1435 1645 1646 1661 1660
1243 5 3 18 18 0 1421 1422 1437 1436 1646 1647 1662 1661
1244 5 3 18 18 0 1422 1423 1438 1437 1647 1648 1663 1662
1245 5 3 18 18 0 1423 1424 1439 1438 1648 1649 1664 1663
1246 5 3 18 18 0 1424 1425 1440 1439 1649 1650 1665 1664
1247 5 3 2 2 0 1426 1427 1442 1441 1651 1652 1667 1666
1248 5 3 2 2 0 1427 1428 1443 1442 1652 1653 1668 1667
1249 5 3 2 2 0 1428 1429 1444 1443 1653 1654 1669 1668
1250 5 3 2 2 0 1429 1430 1445 1444 1654 1655 1670 1669
1251 5 3 2 2 0 1430 1431 1446 1445 1655 1656 1671 1670
1252 5 3 8 8 0 1431 1432 1447 1446 1656 1657 1672 1671
1253 5 3 8 8 0 1432 1433 1448 1447 1657 1658 1673 1672
1254 5 3 8 8 0 1433 1434 1449 1448 1658 1659 1674 1673
1255 5 3 8 8 0 1434 1435 1450 1449 1659 1660 1675 1674
1256 5 3 8 8 0 1435 1436 1451 1450 1660 1661 1676 1675
1257 5 3 18 18 0 1436 1437 1452 1451 1661 1662 1677 1676
1258 5 3 18 18 0 1437 1438 1453 1452 1662 1663 1678 1677
1259 5 3 18 18 0 1438 1439 1454 1453 1663 1664 1679 1678
1260 5 3 18 18 0 1439 1440 1455 1454 1664 1665 1680 1679
1261 5 3 2 2 0 1441 1442 1457 1456 1666 1667 1682 1681
1262 5 3 2 2 0 1442 1443 1458 1457 1667 1668 1683 1682
1263 5 3 2 2 0 1443 1444 1459 1458 1668 1669 1684 1683
1264 5 3 2 2 0 1444 1445 1460 1459 1669 1670 1685 1684
1265 5 3 2 2 0 1445 1446 1461 1460 1670 1671 1686 1685
1266 5 3 8 8 0 1446 1447 1462 1461 1671 1672 1687 1686
1267 5 3 8 8 0 1447 1448 1463 1462 1672 1673 1688 1687
1268 5 3 8 8 0 1448 1449 1464 1463 1673 1674 1689 1688
1269 5 3 8 8 0 1449 1450 1465 1464 1674 1675 1690 1689
1270 5 3 16 16 0 1450 1451 1466 1465 1675 1676 1691 1690
1271 5 3 16 16 0 1451 1452 1467 1466 1676 1677 1692 1691
1272 5 3 13 13 0 1452 1453 1468 1467 1677 1678 1693 1692
1273 5 3 13 13 0 1453 1454 1469 1468 1678 1679 1694 1693
1274 5 3 13 13 0 1454 1455 1470 1469 1679 1680 1695 1694
1275 5 3 1 1 0 1456 1457 1472 1471 1681 1682 1697 1696
1276 5 3 1 1 0 1457 1458 1473 1472 1682 1683 1698 1697
1277 5 3 1 1 0 1458 1459 1474 1473 1683 1684 1699 1698
1278 5 3 1 1 0 1459 1460 1475 1474 1684 1685 1700 1699
1279 5 3 1 1 0 1460 1461 1476 1475 1685 1686 1701 1700
1280 5 3 1 1 0 1461 1462 1477 1476 1686 1687 1702 1701
1281 5 3 8 8 0 1462 1463 1478 1477 1687 1688 1703 1702
1282 5 3 8 8 0 1463 1464 1479 1478 1688 1689 1704 1703
1283 5 3 8 8 0 1464 1465 1480 1479 1689 1690 1705 1704
1284 5 3 16 16 0 1465 1466 1481 1480 1690 1691 1706 1705
1285 5 3 16 16 0 1466 1467 1482 1481 1691 1692 1707 1706
1286 5 3 13 13 0 1467 1468 1483 1482 1692 1693 1708 1707
1287 5 3 13 13 0 1468 1469 1484 1483 1693 1694 1709 1708
1288 5 3 13 13 0 1469 1470 1485 1484 1694 1695 1710 1709
1289 5 3 1 1 0 1471 1472 1487 1486 1696 1697 1712 1711
1290 5 3 1 1 0 1472 1473 1488 1487 1697 1698 1713 1712
1291 5 3 1 1 0 1473 1474 1489 1488 1698 1699 1714 1713
1292 5 3 1 1 0 1474 1475 1490 1489 1699 1700 1715 1714
1293 5 3 1 1 0 1475 1476 1491 1490 1700 1701 1716 1715
1294 5 3 1 1 0 1476 1477 1492 1491 1701 1702 1717 1716
1295 5 3 6 6 0 1477 1478 1493 1492 1702 1703 1718 1717
1296 5 3 6 6 0 1478 1479 1494 1493 1703 1704 1719 1718
1297 5 3 6 6 0 1479 1480 1495 1494 1704 1705 1720 1719
1298 5 3 5 5 0 1480 1481 1496 1495 1705 1706 1721 1720
1299 5 3 16 16 0 1481 1482 1497 1496 1706 1707 1722 1721
1300 5 3 13 13 0 1482 1483 1498 1497 1707 1708 1723 1722
1301 5 3 13 13 0 1483 1484 1499 1498 1708 1709 1724 1723
1302 5 3 13 13 0 1484 1485 1500 1499 1709 1710 1725 1724
1303 5 3 1 1 0 1486 1487 1502 1501 1711 1712 1727 1726
1304 5 3 1 1 0 1487 1488 1503 1502 1712 1713 1728 1727
1305 5 3 1 1 0 1488 1489 1504 1503 1713 1714 1729 1728
1306 5 3 1 1 0 1489 1490 1505 1504 1714 1715 1730 1729
1307 5 3 1 1 0 1490 1491 1506 1505 1715 1716 1731 1730
1308 5 3 1 1 0 1491 1492 1507 1506 1716 1717 1732 1731
1309 5 3 1 1 0 1492 1493 1508 1507 1717 1718 1733 1732
1310 5 3 6 6 0 1493 1494 1509 1508 1718 1719 1734 1733
1311 5 3 5 5 0 1494 1495 1510 1509 1719 1720 1735 1734
1312 5 3 5 5 0 1495 1496 1511 1510 1720 1721 1736 1735
1313 5 3 10 10 0 1496 1497 1512 1511 1721 1722 1737 1736
1314 5 3 10 10 0 1497 1498 1513 1512 1722 1723 1738 1737
1315 5 3 10 10 0 1498 1499 1514 1513 1723 1724 1739 1738
1316 5 3 10 10 0 1499 1500 1515 1514 1724 1725 1740 1739
1317 5 3 27 27 0 1501 1502 1517 1516 1726 1727 1742 1741
1318 5 3 1 1 0 1502 1503 1518 1517 1727 1728 1743 1742
1319 5 3 1 1 0 1503 1504 1519 1518 1728 1729 1744 1743
1320 5 3 1 1 0 1504 1505 1520 1519 1729 1730 1745 1744
1321 5 3 1 1 0 1505 1506 1521 1520 1730 1731 1746 1745
1322 5 3 1 1 0 1506 1507 1522 1521 1731 1732 1747 1746
1323 5 3 1 1 0 1507 1508 1523 1522 1732 1733 1748 1747
1324 5 3 4 4 0 1508 1509 1524 1523 1733 1734 1749 1748
1325 5 3 5 5 0 1509 1510 1525 1524 1734 1735 1750 1749
1326 5 3 5 5 0 1510 1511 1526 1525 1735 1736 1751 1750
1327 5 3 10 10 0 1511 1512 1527 1526 1736 1737 1752 1751
1328 5 3 10 10 0 1512 1513 1528 1527 1737 1738 1753 1752
1329 5 3 10 10 0 1513 1514 1529 1528 1738 1739 1754 1753
1330 5 3 10 10 0 1514 1515 1530 1529 1739 1740 1755 1754
1331 5 3 27 27 0 1516 1517 1532 1531 1741 1742 1757 1756
1332 5 3 27 27 0 1517 1518 1533 1532 1742 1743 1758 1757
1333 5 3 1 1 0 1518 1519 1534 1533 1743 1744 1759 1758
1334 5 3 1 1 0 1519 1520 1535 1534 1744 1745 1760 1759
1335 5 3 1 1 0 1520 1521 1536 1535 1745 1746 1761 1760
1336 5 3 1 1 0 1521 1522 1537 1536 1746 1747 1762 1761
1337 5 3 1 1 0 1522 1523 1538 1537 1747 1748 1763 1762
1338 5 3 4 4 0 1523 1524 1539 1538 1748 1749 1764 1763
1339 5 3 4 4 0 1524 1525 1540 1539 1749 1750 1765 1764
1340 5 3 10 10 0 1525 1526 1541 1540 1750 1751 1766 1765
1341 5 3 10 10 0 1526 1527 1542 1541 1751 1752 1767 1766
1342 5 3 10 10 0 1527 1528 1543 1542 1752 1753 1768 1767
1343 5 3 10 10 0 1528 1529 1544 1543 1753 1754 1769 1768
1344 5 3 10 10 0 1529 1530 1545 1544 1754 1755 1770 1769
1345 5 3 27 27 0 1531 1532 1547 1546 1756 1757 1772 1771
1346 5 3 27 27 0 1532 1533 1548 1547 1757 1758 1773 1772
1347 5 3 27 27 0 1533 1534 1549 1548 1758 1759 1774 1773
1348 5 3 1 1 0 1534 1535 1550 1549 1759 1760 1775 1774
1349 5 3 1 1 0 1535 1536 1551 1550 1760 1761 1776 1775
1350 5 3 1 1 0 1536 1537 1552 1551 1761 1762 1777 1776
1351 5 3 4 4 0 1537 1538 1553 1552 1762 1763 1778 1777
1352 5 3 4 4 0 1538 1539 1554 1553 1763 1764 1779 1778
1353 5 3 4 4 0 1539 1540 1555 1554 1764 1765 1780 1779
1354 5 3 10 10 0 1540 1541 1556 1555 1765 1766 1781 1780
1355 5 3 10 10 0 1541 1542 1557 1556 1766 1767 1782 1781
1356 5 3 10 10 0 1542 1543 1558 1557 1767 1768 1783 1782
1357 5 3 10 10 0 1543 1544 1559 1558 1768 1769 1784 1783
1358 5 3 10 10 0 1544 1545 1560 1559 1769 1770 1785 1784
1359 5 3 27 27 0 1546 1547 1562 1561 1771 1772 1787 1786
1360 5 3 27 27 0 1547 1548 1563 1562 1772 1773 1788 1787
1361 5 3 27 27 0 1548 1549 1564 1563 1773 1774 1789 1788
1362 5 3 1 1 0 1549 1550 1565 1564 1774 1775 1790 1789
1363 5 3 1 1 0 1550 1551 1566 1565 1775 1776 1791 1790
1364 5 3 1 1 0 1551 1552 1567 1566 1776 1777 1792 1791
1365 5 3 4 4 0 1552 1553 1568 1567 1777 1778 1793 1792
1366 5 3 4 4 0 1553 1554 1569 1568 1778 1779 1794 1793
1367 5 3 4 4 0 1554 1555 1570 1569 1779 1780 1795 1794
1368 5 3 10 10 0 1555 1556 1571 1570 1780 1781 1796 1795
1369 5 3 10 10 0 1556 1557 1572 1571 1781 1782 1797 1796
1370 5 3 10 10 0 1557 1558 1573 1572 1782 1783 1798 1797
1371 5 3 10 10 0 1558 1559 1574 1573 1783 1784 1799 1798
1372 5 3 10 10 0 1559 1560 1575 1574 1784 1785 1800 1799
1373 5 3 2 2 0 1576 1577 1592 1591 1801 1802 1817 1816
1374 5 3 2 2 0 1577 1578 1593 1592 1802 1803 1818 1817
1375 5 3 2 2 0 1578 1579 1594 1593 1803 1804 1819 1818
1376 5 3 2 2 0 1579 1580 1595 1594 1804 1805 1820 1819
1377 5 3 2 2 0 1580 1581 1596 1595 1805 1806 1821 1820
1378 5 3 9 9 0 1581 1582 1597 1596 1806 1807 1822 1821
1379 5 3 9 9 0 1582 1583 1598 1597 1807 1808 1823 1822
1380 5 3 9 9 0 1583 1584 1599 1598 1808 1809 1824 1823
1381 5 3 9 9 0 1584 1585 1600 1599 1809 1810 1825 1824
1382 5 3 9 9 0 1585 1586 1601 1600 1810 1811 1826 1825
1383 5 3 18 18 0 1586 1587 1602 1601 1811 1812 1827 1826
1384 5 3 18 18 0 1587 1588 1603 1602 1812 1813 1828 1827
1385 5 3 18 18 0 1588 1589 1604 1603 1813 1814 1829 1828
1386 5 3 18 18 0 1589 1590 1605 1604 1814 1815 1830 1829
1387 5 3 2 2 0 1591 1592 1607 1606 1816 1817 1832 1831
1388 5 3 2 2 0 1592 1593 1608 1607 1817 1818 1833 1832
1389 5 3 2 2 0 1593 1594 1609 1608 1818 1819 1834 1833
1390 5 3 2 2 0 1594 1595 1610 1609 1819 1820 1835 1834
1391 5 3 2 2 0 1595 1596 1611 1610 1820 1821 1836 1835
1392 5 3 12 12 0 1596 1597 1612 1611 1821 1822 1837 1836
1393 5 3 9 9 0 1597 1598 1613 1612 1822 1823 1838 1837
1394 5 3 9 9 0 1598 1599 1614 1613 1823 1824 1839 1838
1395 5 3 9 9 0 1599 1600 1615 1614 1824 1825 1840 1839
1396 5 3 9 9 0 1600 1601 1616 1615 1825 1826 1841 1840
1397 5 3 18 18 0 1601 1602 1617 1616 1826 1827 1842 1841
1398 5 3 18 18 0 1602 1603 1618 1617 1827 1828 1843 1842
1399 5 3 18 18 0 1603 1604 1619 1618 1828 1829 1844 1843
1400 5 3 18 18 0 1604 1605 1620 1619 1829 1830 1845 1844
1401 5 3 2 2 0 1606 1607 1622 1621 1831 1832 1847 1846
1402 5 3 2 2 0 1607 1608 1623 1622 1832 1833 1848 1847
1403 5 3 2 2 0 1608 1609 1624 1623 1833 1834 1849 1848
1404 5 3 2 2 0 1609 1610 1625 1624 1834 1835 1850 1849
1405 5 3 2 2 0 1610 1611 1626 1625 1835 1836 1851 1850
1406 5 3 2 2 0 1611 1612 1627 1626 1836 1837 1852 1851
1407 5 3 9 9 0 1612 1613 1628 1627 1837 1838 1853 1852
1408 5 3 9 9 0 1613 1614 1629 1628 1838 1839 1854 1853
1409 5 3 9 9 0 1614 1615 1630 1629 1839 1840 1855 1854
1410 5 3 9 9 0 1615 1616 1631 1630 1840 1841 1856 1855
1411 5 3 18 18 0 1616 1617 1632 1631 1841 1842 1857 1856
1412 5 3 18 18 0 1617 1618 1633 1632 1842 1843 1858 1857
1413 5 3 18 18 0 1618 1619 1634 1633 1843 1844 1859 1858
1414 5 3 18 18 0 1619 1620 1635 1634 1844 1845 1860 1859
1415 5 3 2 2 0 1621 1622 1637 1636 1846 1847 1862 1861
1416 5 3 2 2 0 1622 1623 1638 1637 1847 1848 1863 1862
1417 5 3 2 2 0 1623 1624 1639 1638 1848 1849 1864 1863
1418 5 3 2 2 0 1624 1625 1640 1639 1849 1850 1865 1864
1419 5 3 2 2 0 1625 1626 1641 1640 1850 1851 1866 1865
1420 5 3 2 2 0 1626 1627 1642 1641 1851 1852 1867 1866
1421 5 3 9 9 0 1627 1628 1643 1642 1852 1853 1868 1867
1422 5 3 9 9 0 1628 1629 1644 1643 1853 1854 1869 1868
1423 5 3 9 9 0 1629 1630 1645 1644 1854 1855 1870 1869
1424 5 3 9 9 0 1630 1631 1646 1645 1855 1856 1871 1870
1425 5 3 18 18 0 1631 1632 1647 1646 1856 1857 1872 1871
1426 5 3 18 18 0 1632 1633 1648 1647 1857 1858 1873 1872
1427 5 3 18 18 0 1633 1634 1649 1648 1858 1859 1874 1873
1428 5 3 18 18 0 1634 1635 1650 1649 1859 1860 1875 1874
1429 5 3 2 2 0 1636 1637 1652 1651 1861 1862 1877 1876
1430 5 3 2 2 0 1637 1638 1653 1652 1862 1863 1878 1877
1431 5 3 2 2 0 1638 1639 1654 1653 1863 1864 1879 1878
1432 5 3 2 2 0 1639 1640 1655 1654 1864 1865 1880 1879
1433 5 3 2 2 0 1640 1641 1656 1655 1865 1866 1881 1880
1434 5 3 2 2 0 1641 1642 1657 1656 1866 1867 1882 1881
1435 5 3 8 8 0 1642 1643 1658 1657 1867 1868 1883 1882
1436 5 3 8 8 0 1643 1644 1659 1658 1868 1869 1884 1883
1437 5 3 9 9 0 1644 1645 1660 1659 1869 1870 1885 1884
1438 5 3 23 23 0 1645 1646 1661 1660 1870 1871 1886 1885
1439 5 3 18 18 0 1646 1647 1662 1661 1871 1872 1887 1886
1440 5 3 18 18 0 1647 1648 1663 1662 1872 1873 1888 1887
1441 5 3 18 18 0 1648 1649 1664 1663 1873 1874 1889 1888
1442 5 3 18 18 0 1649 1650 1665 1664 1874 1875 1890 1889
1443 5 3 2 2 0 1651 1652 1667 1666 1876 1877 1892 1891
1444 5 3 2 2 0 1652 1653 1668 1667 1877 1878 1893 1892
1445 5 3 2 2 0 1653 1654 1669 1668 1878 1879 1894 1893
1446 5 3 2 2 0 1654 1655 1670 1669 1879 1880 1895 1894
1447 5 3 2 2 0 1655 1656 1671 1670 1880 1881 1896 1895
1448 5 3 30 30 0 1656 1657 1672 1671 1881 1882 1897 1896
1449 5 3 8 8 0 1657 1658 1673 1672 1882 1883 1898 1897
1450 5 3 8 8 0 1658 1659 1674 1673 1883 1884 1899 1898
1451 5 3 8 8 0 1659 1660 1675 1674 1884 1885 1900 1899
1452 5 3 23 23 0 1660 1661 1676 1675 1885 1886 1901 1900
1453 5 3 18 18 0 1661 1662 1677 1676 1886 1887 1902 1901
1454 5 3 18 18 0 1662 1663 1678 1677 1887 1888 1903 1902
1455 5 3 18 18 0 1663 1664 1679 1678 1888 1889 1904 1903
1456 5 3 18 18 0 1664 1665 1680 1679 1889 1890 1905 1904
1457 5 3 2 2 0 1666 1667 1682 1681 1891 1892 1907 1906
1458 5 3 2 2 0 1667 1668 1683 1682 1892 1893 1908 1907
1459 5 3 2 2 0 1668 1669 1684 1683 1893 1894 1909 1908
1460 5 3 2 2 0 1669 1670 1685 1684 1894 1895 1910 1909
1461 5 3 30 30 0 1670 1671 1686 1685 1895 1896 1911 1910
1462 5 3 30 30 0 1671 1672 1687 1686 1896 1897 1912 1911
1463 5 3 8 8 0 1672 1673 1688 1687 1897 1898 1913 1912
1464 5 3 8 8 0 1673 1674 1689 1688 1898 1899 1914 1913
1465 5 3 8 8 0 1674 1675 1690 1689 1899 1900 1915 1914
1466 5 3 16 16 0 1675 1676 1691 1690 1900 1901 1916 1915
1467 5 3 16 16 0 1676 1677 1692 1691 1901 1902 1917 1916
1468 5 3 22 22 0 1677 1678 1693 1692 1902 1903 1918 1917
1469 5 3 22 22 0 1678 1679 1694 1693 1903 1904 1919 1918
1470 5 3 22 22 0 1679 1680 1695 1694 1904 1905 1920 1919
1471 5 3 27 27 0 1681 1682 1697 1696 1906 1907 1922 1921
1472 5 3 27 27 0 1682 1683 1698 1697 1907 1908 1923 1922
1473 5 3 27 27 0 1683 1684 1699 1698 1908 1909 1924 1923
1474 5 3 27 27 0 1684 1685 1700 1699 1909 1910 1925 1924
1475 5 3 30 30 0 1685 1686 1701 1700 1910 1911 1926 1925
1476 5 3 30 30 0 1686 1687 1702 1701 1911 1912 1927 1926
1477 5 3 30 30 0 1687 1688 1703 1702 1912 1913 1928 1927
1478 5 3 6 6 0 1688 1689 1704 1703 1913 1914 1929 1928
1479 5 3 6 6 0 1689 1690 1705 1704 1914 1915 1930 1929
1480 5 3 16 16 0 1690 1691 1706 1705 1915 1916 1931 1930
1481 5 3 16 16 0 1691 1692 1707 1706 1916 1917 1932 1931
1482 5 3 22 22 0 1692 1693 1708 1707 1917 1918 1933 1932
1483 5 3 22 22 0 1693 1694 1709 1708 1918 1919 1934 1933
1484 5 3 22 22 0 1694 1695 1710 1709 1919 1920 1935 1934
1485 5 3 27 27 0 1696 1697 1712 1711 1921 1922 1937 1936
1486 5 3 27 27 0 1697 1698 1713 1712 1922 1923 1938 1937
1487 5 3 27 27 0 1698 1699 1714 1713 1923 1924 1939 1938
1488 5 3 27 27 0 1699 1700 1715 1714 1924 1925 1940 1939
1489 5 3 27 27 0 1700 1701 1716 1715 1925 1926 1941 1940
1490 5 3 30 30 0 1701 1702 1717 1716 1926 1927 1942 1941
1491 5 3 6 6 0 1702 1703 1718 1717 1927 1928 1943 1942
1492 5 3 6 6 0 1703 1704 1719 1718 1928 1929 1944 1943
1493 5 3 6 6 0 1704 1705 1720 1719 1929 1930 1945 1944
1494 5 3 16 16 0 1705 1706 1721 1720 1930 1931 1946 1945
1495 5 3 16 16 0 1706 1707 1722 1721 1931 1932 1947 1946
1496 5 3 10 10 0 1707 1708 1723 1722 1932 1933 1948 1947
1497 5 3 22 22 0 1708 1709 1724 1723 1933 1934 1949 1948
1498 5 3 22 22 0 1709 1710 1725 1724 1934 1935 1950 1949
1499 5 3 27 27 0 1711 1712 1727 1726 1936 1937 1952 1951
1500 5 3 27 27 0 1712 1713 1728 1727 1937 1938 1953 1952
1501 5 3 27 27 0 1713 1714 1729 1728 1938 1939 1954 1953
1502 5 3 27 27 0 1714 1715 1730 1729 1939 1940 1955 1954
1503 5 3 27 27 0 1715 1716 1731 1730 1940 1941 1956 1955
1504 5 3 27 27 0 1716 1717 1732 1731 1941 1942 1957 1956
1505 5 3 6 6 0 1717 1718 1733 1732 1942 1943 1958 1957
1506 5 3 6 6 0 1718 1719 1734 1733 1943 1944 1959 1958
1507 5 3 6 6 0 1719 1720 1735 1734 1944 1945 1960 1959
1508 5 3 6 6 0 1720 1721 1736 1735 1945 1946 1961 1960
1509 5 3 10 10 0 1721 1722 1737 1736 1946 1947 1962 1961
1510 5 3 10 10 0 1722 1723 1738 1737 1947 1948 1963 1962
1511 5 3 10 10 0 1723 1724 1739 1738 1948 1949 1964 1963
1512 5 3 10 10 0 1724 1725 1740 1739 1949 1950 1965 1964
1513 5 3 27 27 0 1726 1727 1742 1741 1951 1952 1967 1966
1514 5 3 27 27 0 1727 1728 1743 1742 1952 1953 1968 1967
1515 5 3 27 27 0 1728 1729 1744 1743 1953 1954 1969 1968
1516 5 3 27 27 0 1729 1730 1745 1744 1954 1955 1970 1969
1517 5 3 27 27 0 1730 1731 1746 1745 1955 1956 1971 1970
1518 5 3 27 27 0 1731 1732 1747 1746 1956 1957 1972 1971
1519 5 3 6 6 0 1732 1733 1748 1747 1957 1958 1973 1972
1520 5 3 6 6 0 1733 1734 1749 1748 1958 1959 1974 1973
1521 5 3 6 6 0 1734 1735 1750 1749 1959 1960 1975 1974
1522 5 3 10 10 0 1735 1736 1751 1750 1960 1961 1976 1975
1523 5 3 10 10 0 1736 1737 1752 1751 1961 1962 1977 1976
1524 5 3 10 10 0 1737 1738 1753 1752 1962 1963 1978 1977
1525 5 3 10 10 0 1738 1739 1754 1753 1963 1964 1979 1978
1526 5 3 10 10 0 1739 1740 1755 1754 1964 1965 1980 1979
1527 5 3 27 27 0 1741 1742 1757 1756 1966 1967 1982 1981
1528 5 3 27 27 0 1742 1743 1758 1757 1967 1968 1983 1982
1529 5 3 27 27 0 1743 1744 1759 1758 1968 1969 1984 1983
1530 5 3 27 27 0 1744 1745 1760 1759 1969 1970 1985 1984
1531 5 3 27 27 0 1745 1746 1761 1760 1970 1971 1986 1985
1532 5 3 27 27 0 1746 1747 1762 1761 1971 1972 1987 1986
1533 5 3 4 4 0 1747 1748 1763 1762 1972 1973 1988 1987
1534 5 3 4 4 0 1748 1749 1764 1763 1973 1974 1989 1988
1535 5 3 4 4 0 1749 1750 1765 1764 1974 1975 1990 1989
1536 5 3 10 10 0 1750 1751 1766 1765 1975 1976 1991 1990
1537 5 3 10 10 0 1751 1752 1767 1766 1976 1977 1992 1991
1538 5 3 10 10 0 1752 1753 1768 1767 1977 1978 1993 1992
1539 5 3 10 10 0 1753 1754 1769 1768 1978 1979 1994 1993
1540 5 3 10 10 0 1754 1755 1770 1769 1979 1980 1995 1994
1541 5 3 27 27 0 1756 1757 1772 1771 1981 1982 1997 1996
1542 5 3 27 27 0 1757 1758 1773 1772 1982 1983 1998 1997
1543 5 3 27 27 0 1758 1759 1774 1773 1983 1984 1999 1998
1544 5 3 27 27 0 1759 1760 1775 1774 1984 1985 2000 1999
1545 5 3 27 27 0 1760 1761 1776 1775 1985 1986 2001 2000
1546 5 3 27 27 0 1761 1762 1777 1776 1986 1987 2002 2001
1547 5 3 4 4 0 1762 1763 1778 1777 1987 1988 2003 2002
1548 5 3 4 4 0 1763 1764 1779 1778 1988 1989 2004 2003
1549 5 3 4 4 0 1764 1765 1780 1779 1989 1990 2005 2004
1550 5 3 10 10 0 1765 1766 1781 1780 1990 1991 2006 2005
1551 5 3 10 10 0 1766 1767 1782 1781 1991 1992 2007 2006
1552 5 3 10 10 0 1767 1768 1783 1782 1992 1993 2008 2007
1553 5 3 10 10 0 1768 1769 1784 1783 1993 1994 2009 2008
1554 5 3 10 10 0 1769 1770 1785 1784 1994 1995 2010 2009
1555 5 3 27 27 0 1771 1772 1787 1786 1996 1997 2012 2011
1556 5 3 27 27 0 1772 1773 1788 1787 1997 1998 2013 2012
1557 5 3 27 27 0 1773 1774 1789 1788 1998 1999 2014 2013
1558 5 3 27 27 0 1774 1775 1790 1789 1999 2000 2015 2014
1559 5 3 27 27 0 1775 1776 1791 1790 2000 2001 2016 2015
1560 5 3 27 27 0 1776 1777 1792 1791 2001 2002 2017 2016
1561 5 3 4 4 0 1777 1778 1793 1792 2002 2003 2018 2017
1562 5 3 4 4 0 1778 1779 1794 1793 2003 2004 2019 2018
1563 5 3 4 4 0 1779 1780 1795 1794 2004 2005 2020 2019
1564 5 3 10 10 0 1780 1781 1796 1795 2005 2006 2021 2020
1565 5 3 10 10 0 1781 1782 1797 1796 2006 2007 2022 2021
1566 5 3 10 10 0 1782 1783 1798 1797 2007 2008 2023 2022
1567 5 3 10 10 0 1783 1784 1799 1798 2008 2009 2024 2023
1568 5 3 10 10 0 1784 1785 1800 1799 2009 2010 2025 2024
1569 5 3 2 2 0 1801 1802 1817 1816 2026 2027 2042 2041
1570 5 3 2 2 0 1802 1803 1818 1817 2027 2028 2043 2042
1571 5 3 2 2 0 1803 1804 1819 1818 2028 2029 2044 2043
1572 5 3 2 2 0 1804 1805 1820 1819 2029 2030 2045 2044
1573 5 3 12 12 0 1805 1806 1821 1820 2030 2031 2046 2045
1574 5 3 12 12 0 1806 1807 1822 1821 2031 2032 2047 2046
1575 5 3 9 9 0 1807 1808 1823 1822 2032 2033 2048 2047
1576 5 3 9 9 0 1808 1809 1824 1823 2033 2034 2049 2048
1577 5 3 9 9 0 1809 1810 1825 1824 2034 2035 2050 2049
1578 5 3 9 9 0 1810 1811 1826 1825 2035 2036 2051 2050
1579 5 3 9 9 0 1811 1812 1827 1826 2036 2037 2052 2051
1580 5 3 18 18 0 1812 1813 1828 1827 2037 2038 2053 2052
1581 5 3 18 18 0 1813 1814 1829 1828 2038 2039 2054 2053
1582 5 3 18 18 0 1814 1815 1830 1829 2039 2040 2055 2054
1583 5 3 2 2 0 1816 1817 1832 1831 2041 2042 2057 2056
1584 5 3 2 2 0 1817 1818 1833 1832 2042 2043 2058 2057
1585 5 3 2 2 0 1818 1819 1834 1833 2043 2044 2059 2058
1586 5 3 2 2 0 1819 1820 1835 1834 2044 2045 2060 2059
1587 5 3 12 12 0 1820 1821 1836 1835 2045 2046 2061 2060
1588 5 3 12 12 0 1821 1822 1837 1836 2046 2047 2062 2061
1589 5 3 9 9 0 1822 1823 1838 1837 2047 2048 2063 2062
1590 5 3 9 9 0 1823 1824 1839 1838 2048 2049 2064 2063
1591 5 3 9 9 0 1824 1825 1840 1839 2049 2050 2065 2064
1592 5 3 9 9 0 1825 1826 1841 1840 2050 2051 2066 2065
1593 5 3 18 18 0 1826 1827 1842 1841 2051 2052 2067 2066
1594 5 3 18 18 0 1827 1828 1843 1842 2052 2053 2068 2067
1595 5 3 18 18 0 1828 1829 1844 1843 2053 2054 2069 2068
1596 5 3 18 18 0 1829 1830 1845 1844 2054 2055 2070 2069
1597 5 3 2 2 0 1831 1832 1847 1846 2056 2057 2072 2071
1598 5 3 2 2 0 1832 1833 1848 1847 2057 2058 2073 2072
1599 5 3 2 2 0 1833 1834 1849 1848 2058 2059 2074 2073
1600 5 3 2 2 0 1834 1835 1850 1849 2059 2060 2075 2074
1601 5 3 2 2 0 1835 1836 1851 1850 2060 2061 2076 2075
1602 5 3 12 12 0 1836 1837 1852 1851 2061 2062 2077 2076
1603 5 3 12 12 0 1837 1838 1853 1852 2062 2063 2078 2077
1604 5 3 9 9 0 1838 1839 1854 1853 2063 2064 2079 2078
1605 5 3 9 9 0 1839 1840 1855 1854 2064 2065 2080 2079
1606 5 3 9 9 0 1840 1841 1856 1855 2065 2066 2081 2080
1607 5 3 18 18 0 1841 1842 1857 1856 2066 2067 2082 2081
1608 5 3 18 18 0 1842 1843 1858 1857 2067 2068 2083 2082
1609 5 3 18 18 0 1843 1844 1859 1858 2068 2069 2084 2083
1610 5 3 18 18 0 1844 1845 1860 1859 2069 2070 2085 2084
1611 5 3 2 2 0 1846 1847 1862 1861 2071 2072 2087 2086
1612 5 3 2 2 0 1847 1848 1863 1862 2072 2073 2088 2087
1613 5 3 2 2 0 1848 1849 1864 1863 2073 2074 2089 2088
1614 5 3 2 2 0 1849 1850 1865 1864 2074 2075 2090 2089
1615 5 3 2 2 0 1850 1851 1866 1865 2075 2076 2091 2090
1616 5 3 12 12 0 1851 1852 1867 1866 2076 2077 2092 2091
1617 5 3 12 12 0 1852 1853 1868 1867 2077 2078 2093 2092
1618 5 3 9 9 0 1853 1854 1869 1868 2078 2079 2094 2093
1619 5 3 9 9 0 1854 1855 1870 1869 2079 2080 2095 2094
1620 5 3 9 9 0 1855 1856 1871 1870 2080 2081 2096 2095
1621 5 3 18 18 0 1856 1857 1872 1871 2081 2082 2097 2096
1622 5 3 18 18 0 1857 1858 1873 1872 2082 2083 2098 2097
1623 5 3 18 18 0 1858 1859 1874 1873 2083 2084 2099 2098
1624 5 3 18 18 0 1859 1860 1875 1874 2084 2085 2100 2099
1625 5 3 2 2 0 1861 1862 1877 1876 2086 2087 2102 2101
1626 5 3 2 2 0 1862 1863 1878 1877 2087 2088 2103 2102
1627 5 3 2 2 0 1863 1864 1879 1878 2088 2089 2104 2103
1628 5 3 2 2 0 1864 1865 1880 1879 2089 2090 2105 2104
1629 5 3 2 2 0 1865 1866 1881 1880 2090 2091 2106 2105
1630 5 3 12 12 0 1866 1867 1882 1881 2091 2092 2107 2106
1631 5 3 12 12 0 1867 1868 1883 1882 2092 2093 2108 2107
1632 5 3 23 23 0 1868 1869 1884 1883 2093 2094 2109 2108
1633 5 3 23 23 0 1869 1870 1885 1884 2094 2095 2110 2109
1634 5 3 23 23 0 1870 1871 1886 1885 2095 2096 2111 2110
1635 5 3 18 18 0 1871 1872 1887 1886 2096 2097 2112 2111
1636 5 3 18 18 0 1872 1873 1888 1887 2097 2098 2113 2112
1637 5 3 18 18 0 1873 1874 1889 1888 2098 2099 2114 2113
1638 5 3 18 18 0 1874 1875 1890 1889 2099 2100 2115 2114
1639 5 3 2 2 0 1876 1877 1892 1891 2101 2102 2117 2116
1640 5 3 2 2 0 1877 1878 1893 1892 2102 2103 2118 2117
1641 5 3 2 2 0 1878 1879 1894 1893 2103 2104 2119 2118
1642 5 3 2 2 0 1879 1880 1895 1894 2104 2105 2120 2119
1643 5 3 30 30 0 1880 1881 1896 1895 2105 2106 2121 2120
1644 5 3 30 30 0 1881 1882 1897 1896 2106 2107 2122 2121
1645 5 3 30 30 0 1882 1883 1898 1897 2107 2108 2123 2122
1646 5 3 23 23 0 1883 1884 1899 1898 2108 2109 2124 2123
1647 5 3 23 23 0 1884 1885 1900 1899 2109 2110 2125 2124
1648 5 3 23 23 0 1885 1886 1901 1900 2110 2111 2126 2125
1649 5 3 23 23 0 1886 1887 1902 1901 2111 2112 2127 2126
1650 5 3 22 22 0 1887 1888 1903 1902 2112 2113 2128 2127
1651 5 3 22 22 0 1888 1889 1904 1903 2113 2114 2129 2128
1652 5 3 22 22 0 1889 1890 1905 1904 2114 2115 2130 2129
1653 5 3 2 2 0 1891 1892 1907 1906 2116 2117 2132 2131
1654 5 3 28 28 0 1892 1893 1908 1907 2117 2118 2133 2132
1655 5 3 28 28 0 1893 1894 1909 1908 2118 2119 2134 2133
1656 5 3 28 28 0 1894 1895 1910 1909 2119 2120 2135 2134
1657 5 3 30 30 0 1895 1896 1911 1910 2120 2121 2136 2135
1658 5 3 30 30 0 1896 1897 1912 1911 2121 2122 2137 2136
1659 5 3 30 30 0 1897 1898 1913 1912 2122 2123 2138 2137
1660 5 3 23 23 0 1898 1899 1914 1913 2123 2124 2139 2138
1661 5 3 23 23 0 1899 1900 1915 1914 2124 2125 2140 2139
1662 5 3 23 23 0 1900 1901 1916 1915 2125 2126 2141 2140
1663 5 3 23 23 0 1901 1902 1917 1916 2126 2127 2142 2141
1664 5 3 22 22 0 1902 1903 1918 1917 2127 2128 2143 2142
1665 5 3 22 22 0 1903 1904 1919 1918 2128 2129 2144 2143
1666 5 3 22 22 0 1904 1905 1920 1919 2129 2130 2145 2144
1667 5 3 27 27 0 1906 1907 1922 1921 2131 2132 2147 2146
1668 5 3 27 27 0 1907 1908 1923 1922 2132 2133 2148 2147
1669 5 3 27 27 0 1908 1909 1924 1923 2133 2134 2149 2148
1670 5 3 27 27 0 1909 1910 1925 1924 2134 2135 2150 2149
1671 5 3 30 30 0 1910 1911 1926 1925 2135 2136 2151 2150
1672 5 3 30 30 0 1911 1912 1927 1926 2136 2137 2152 2151
1673 5 3 30 30 0 1912 1913 1928 1927 2137 2138 2153 2152
1674 5 3 6 6 0 1913 1914 1929 1928 2138 2139 2154 2153
1675 5 3 23 23 0 1914 1915 1930 1929 2139 2140 2155 2154
1676 5 3 23 23 0 1915 1916 1931 1930 2140 2141 2156 2155
1677 5 3 15 15 0 1916 1917 1932 1931 2141 2142 2157 2156
1678 5 3 22 22 0 1917 1918 1933 1932 2142 2143 2158 2157
1679 5 3 22 22 0 1918 1919 1934 1933 2143 2144 2159 2158
1680 5 3 22 22 0 1919 1920 1935 1934 2144 2145 2160 2159
1681 5 3 27 27 0 1921 1922 1937 1936 2146 2147 2162 2161
1682 5 3 27 27 0 1922 1923 1938 1937 2147 2148 2163 2162
1683 5 3 27 27 0 1923 1924 1939 1938 2148 2149 2164 2163
1684 5 3 27 27 0 1924 1925 1940 1939 2149 2150 2165 2164
1685 5 3 27 27 0 1925 1926 1941 1940 2150 2151 2166 2165
1686 5 3 30 30 0 1926 1927 1942 1941 2151 2152 2167 2166
1687 5 3 6 6 0 1927 1928 1943 1942 2152 2153 2168 2167
1688 5 3 6 6 0 1928 1929 1944 1943 2153 2154 2169 2168
1689 5 3 6 6 0 1929 1930 1945 1944 2154 2155 2170 2169
1690 5 3 15 15 0 1930 1931 1946 1945 2155 2156 2171 2170
1691 5 3 15 15 0 1931 1932 1947 1946 2156 2157 2172 2171
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1693 5 3 22 22 0 1933 1934 1949 1948 2158 2159 2174 2173
1694 5 3 22 22 0 1934 1935 1950 1949 2159 2160 2175 2174
1695 5 3 27 27 0 1936 1937 1952 1951 2161 2162 2177 2176
1696 5 3 27 27 0 1937 1938 1953 1952 2162 2163 2178 2177
1697 5 3 27 27 0 1938 1939 1954 1953 2163 2164 2179 2178
1698 5 3 27 27 0 1939 1940 1955 1954 2164 2165 2180 2179
1699 5 3 27 27 0 1940 1941 1956 1955 2165 2166 2181 2180
1700 5 3 27 27 0 1941 1942 1957 1956 2166 2167 2182 2181
1701 5 3 6 6 0 1942 1943 1958 1957 2167 2168 2183 2182
1702 5 3 6 6 0 1943 1944 1959 1958 2168 2169 2184 2183
1703 5 3 6 6 0 1944 1945 1960 1959 2169 2170 2185 2184
1704 5 3 6 6 0 1945 1946 1961 1960 2170 2171 2186 2185
1705 5 3 10 10 0 1946 1947 1962 1961 2171 2172 2187 2186
1706 5 3 10 10 0 1947 1948 1963 1962 2172 2173 2188 2187
1707 5 3 10 10 0 1948 1949 1964 1963 2173 2174 2189 2188
1708 5 3 10 10 0 1949 1950 1965 1964 2174 2175 2190 2189
1709 5 3 27 27 0 1951 1952 1967 1966 2176 2177 2192 2191
1710 5 3 27 27 0 1952 1953 1968 1967 2177 2178 2193 2192
1711 5 3 27 27 0 1953 1954 1969 1968 2178 2179 2194 2193
1712 5 3 27 27 0 1954 1955 1970 1969 2179 2180 2195 2194
1713 5 3 27 27 0 1955 1956 1971 1970 2180 2181 2196 2195
1714 5 3 27 27 0 1956 1957 1972 1971 2181 2182 2197 2196
1715 5 3 17 17 0 1957 1958 1973 1972 2182 2183 2198 2197
1716 5 3 6 6 0 1958 1959 1974 1973 2183 2184 2199 2198
1717 5 3 6 6 0 1959 1960 1975 1974 2184 2185 2200 2199
1718 5 3 10 10 0 1960 1961 1976 1975 2185 2186 2201 2200
1719 5 3 10 10 0 1961 1962 1977 1976 2186 2187 2202 2201
1720 5 3 10 10 0 1962 1963 1978 1977 2187 2188 2203 2202
1721 5 3 10 10 0 1963 1964 1979 1978 2188 2189 2204 2203
1722 5 3 10 10 0 1964 1965 1980 1979 2189 2190 2205 2204
1723 5 3 27 27 0 1966 1967 1982 1981 2191 2192 2207 2206
1724 5 3 27 27 0 1967 1968 1983 1982 2192 2193 2208 2207
1725 5 3 27 27 0 1968 1969 1984 1983 2193 2194 2209 2208
1726 5 3 27 27 0 1969 1970 1985 1984 2194 2195 2210 2209
1727 5 3 27 27 0 1970 1971 1986 1985 2195 2196 2211 2210
1728 5 3 27 27 0 1971 1972 1987 1986 2196 2197 2212 2211
1729 5 3 4 4 0 1972 1973 1988 1987 2197 2198 2213 2212
1730 5 3 4 4 0 1973 1974 1989 1988 2198 2199 2214 2213
1731 5 3 4 4 0 1974 1975 1990 1989 2199 2200 2215 2214
1732 5 3 10 10 0 1975 1976 1991 1990 2200 2201 2216 2215
1733 5 3 10 10 0 1976 1977 1992 1991 2201 2202 2217 2216
1734 5 3 10 10 0 1977 1978 1993 1992 2202 2203 2218 2217
1735 5 3 10 10 0 1978 1979 1994 1993 2203 2204 2219 2218
1736 5 3 10 10 0 1979 1980 1995 1994 2204 2205 2220 2219
1737 5 3 27 27 0 1981 1982 1997 1996 2206 2207 2222 2221
1738 5 3 27 27 0 1982 1983 1998 1997 2207 2208 2223 2222
1739 5 3 27 27 0 1983 1984 1999 1998 2208 2209 2224 2223
1740 5 3 27 27 0 1984 1985 2000 1999 2209 2210 2225 2224
1741 5 3 27 27 0 1985 1986 2001 2000 2210 2211 2226 2225
1742 5 3 27 27 0 1986 1987 2002 2001 2211 2212 2227 2226
1743 5 3 4 4 0 1987 1988 2003 2002 2212 2213 2228 2227
1744 5 3 4 4 0 1988 1989 2004 2003 2213 2214 2229 2228
1745 5 3 4 4 0 1989 1990 2005 2004 2214 2215 2230 2229
1746 5 3 10 10 0 1990 1991 2006 2005 2215 2216 2231 2230
1747 5 3 10 10 0 1991 1992 2007 2006 2216 2217 2232 2231
1748 5 3 10 10 0 1992 1993 2008 2007 2217 2218 2233 2232
1749 5 3 10 10 0 1993 1994 2009 2008 2218 2219 2234 2233
1750 5 3 10 10 0 1994 1995 2010 2009 2219 2220 2235 2234
1751 5 3 27 27 0 1996 1997 2012 2011 2221 2222 2237 2236
1752 5 3 27 27 0 1997 1998 2013 2012 2222 2223 2238 2237
1753 5 3 27 27 0 1998 1999 2014 2013 2223 2224 2239 2238
1754 5 3 27 27 0 1999 2000 2015 2014 2224 2225 2240 2239
1755 5 3 27 27 0 2000 2001 2016 2015 2225 2226 2241 2240
1756 5 3 27 27 0 2001 2002 2017 2016 2226 2227 2242 2241
1757 5 3 4 4 0 2002 2003 2018 2017 2227 2228 2243 2242
1758 5 3 4 4 0 2003 2004 2019 2018 2228 2229 2244 2243
1759 5 3 4 4 0 2004 2005 2020 2019 2229 2230 2245 2244
1760 5 3 10 10 0 2005 2006 2021 2020 2230 2231 2246 2245
1761 5 3 10 10 0 2006 2007 2022 2021 2231 2232 2247 2246
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1763 5 3 10 10 0 2008 2009 2024 2023 2233 2234 2249 2248
1764 5 3 10 10 0 2009 2010 2025 2024 2234 2235 2250 2249
1765 5 3 2 2 0 2026 2027 2042 2041 2251 2252 2267 2266
1766 5 3 2 2 0 2027 2028 2043 2042 2252 2253 2268 2267
1767 5 3 2 2 0 2028 2029 2044 2043 2253 2254 2269 2268
1768 5 3 12 12 0 2029 2030 2045 2044 2254 2255 2270 2269
1769 5 3 12 12 0 2030 2031 2046 2045 2255 2256 2271 2270
1770 5 3 12 12 0 2031 2032 2047 2046 2256 2257 2272 2271
1771 5 3 12 12 0 2032 2033 2048 2047 2257 2258 2273 2272
1772 5 3 9 9 0 2033 2034 2049 2048 2258 2259 2274 2273
1773 5 3 9 9 0 2034 2035 2050 2049 2259 2260 2275 2274
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1779 5 3 2 2 0 2041 2042 2057 2056 2266 2267 2282 2281
1780 5 3 2 2 0 2042 2043 2058 2057 2267 2268 2283 2282
1781 5 3 2 2 0 2043 2044 2059 2058 2268 2269 2284 2283
1782 5 3 12 12 0 2044 2045 2060 2059 2269 2270 2285 2284
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1788 5 3 9 9 0 2050 2051 2066 2065 2275 2276 2291 2290
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1794 5 3 2 2 0 2057 2058 2073 2072 2282 2283 2298 2297
1795 5 3 2 2 0 2058 2059 2074 2073 2283 2284 2299 2298
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1798 5 3 12 12 0 2061 2062 2077 2076 2286 2287 2302 2301
1799 5 3 12 12 0 2062 2063 2078 2077 2287 2288 2303 2302
1800 5 3 9 9 0 2063 2064 2079 2078 2288 2289 2304 2303
1801 5 3 9 9 0 2064 2065 2080 2079 2289 2290 2305 2304
1802 5 3 21 21 0 2065 2066 2081 2080 2290 2291 2306 2305
1803 5 3 21 21 0 2066 2067 2082 2081 2291 2292 2307 2306
1804 5 3 21 21 0 2067 2068 2083 2082 2292 2293 2308 2307
1805 5 3 21 21 0 2068 2069 2084 2083 2293 2294 2309 2308
1806 5 3 21 21 0 2069 2070 2085 2084 2294 2295 2310 2309
1807 5 3 2 2 0 2071 2072 2087 2086 2296 2297 2312 2311
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1809 5 3 2 2 0 2073 2074 2089 2088 2298 2299 2314 2313
1810 5 3 2 2 0 2074 2075 2090 2089 2299 2300 2315 2314
1811 5 3 12 12 0 2075 2076 2091 2090 2300 2301 2316 2315
1812 5 3 12 12 0 2076 2077 2092 2091 2301 2302 2317 2316
1813 5 3 12 12 0 2077 2078 2093 2092 2302 2303 2318 2317
1814 5 3 25 25 0 2078 2079 2094 2093 2303 2304 2319 2318
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1817 5 3 21 21 0 2081 2082 2097 2096 2306 2307 2322 2321
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1820 5 3 21 21 0 2084 2085 2100 2099 2309 2310 2325 2324
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1823 5 3 2 2 0 2088 2089 2104 2103 2313 2314 2329 2328
1824 5 3 2 2 0 2089 2090 2105 2104 2314 2315 2330 2329
1825 5 3 12 12 0 2090 2091 2106 2105 2315 2316 2331 2330
1826 5 3 12 12 0 2091 2092 2107 2106 2316 2317 2332 2331
1827 5 3 12 12 0 2092 2093 2108 2107 2317 2318 2333 2332
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1830 5 3 23 23 0 2095 2096 2111 2110 2320 2321 2336 2335
1831 5 3 23 23 0 2096 2097 2112 2111 2321 2322 2337 2336
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1834 5 3 21 21 0 2099 2100 2115 2114 2324 2325 2340 2339
1835 5 3 28 28 0 2101 2102 2117 2116 2326 2327 2342 2341
1836 5 3 28 28 0 2102 2103 2118 2117 2327 2328 2343 2342
1837 5 3 28 28 0 2103 2104 2119 2118 2328 2329 2344 2343
1838 5 3 28 28 0 2104 2105 2120 2119 2329 2330 2345 2344
1839 5 3 28 28 0 2105 2106 2121 2120 2330 2331 2346 2345
1840 5 3 30 30 0 2106 2107 2122 2121 2331 2332 2347 2346
1841 5 3 30 30 0 2107 2108 2123 2122 2332 2333 2348 2347
1842 5 3 23 23 0 2108 2109 2124 2123 2333 2334 2349 2348
1843 5 3 23 23 0 2109 2110 2125 2124 2334 2335 2350 2349
1844 5 3 23 23 0 2110 2111 2126 2125 2335 2336 2351 2350
1845 5 3 23 23 0 2111 2112 2127 2126 2336 2337 2352 2351
1846 5 3 22 22 0 2112 2113 2128 2127 2337 2338 2353 2352
1847 5 3 22 22 0 2113 2114 2129 2128 2338 2339 2354 2353
1848 5 3 22 22 0 2114 2115 2130 2129 2339 2340 2355 2354
1849 5 3 28 28 0 2116 2117 2132 2131 2341 2342 2357 2356
1850 5 3 28 28 0 2117 2118 2133 2132 2342 2343 2358 2357
1851 5 3 28 28 0 2118 2119 2134 2133 2343 2344 2359 2358
1852 5 3 28 28 0 2119 2120 2135 2134 2344 2345 2360 2359
1853 5 3 28 28 0 2120 2121 2136 2135 2345 2346 2361 2360
1854 5 3 30 30 0 2121 2122 2137 2136 2346 2347 2362 2361
1855 5 3 30 30 0 2122 2123 2138 2137 2347 2348 2363 2362
1856 5 3 23 23 0 2123 2124 2139 2138 2348 2349 2364 2363
1857 5 3 23 23 0 2124 2125 2140 2139 2349 2350 2365 2364
1858 5 3 23 23 0 2125 2126 2141 2140 2350 2351 2366 2365
1859 5 3 23 23 0 2126 2127 2142 2141 2351 2352 2367 2366
1860 5 3 22 22 0 2127 2128 2143 2142 2352 2353 2368 2367
1861 5 3 22 22 0 2128 2129 2144 2143 2353 2354 2369 2368
1862 5 3 22 22 0 2129 2130 2145 2144 2354 2355 2370 2369
1863 5 3 28 28 0 2131 2132 2147 2146 2356 2357 2372 2371
1864 5 3 28 28 0 2132 2133 2148 2147 2357 2358 2373 2372
1865 5 3 28 28 0 2133 2134 2149 2148 2358 2359 2374 2373
1866 5 3 28 28 0 2134 2135 2150 2149 2359 2360 2375 2374
1867 5 3 28 28 0 2135 2136 2151 2150 2360 2361 2376 2375
1868 5 3 30 30 0 2136 2137 2152 2151 2361 2362 2377 2376
1869 5 3 30 30 0 2137 2138 2153 2152 2362 2363 2378 2377
1870 5 3 23 23 0 2138 2139 2154 2153 2363 2364 2379 2378
1871 5 3 23 23 0 2139 2140 2155 2154 2364 2365 2380 2379
1872 5 3 23 23 0 2140 2141 2156 2155 2365 2366 2381 2380
1873 5 3 15 15 0 2141 2142 2157 2156 2366 2367 2382 2381
1874 5 3 22 22 0 2142 2143 2158 2157 2367 2368 2383 2382
1875 5 3 22 22 0 2143 2144 2159 2158 2368 2369 2384 2383
1876 5 3 22 22 0 2144 2145 2160 2159 2369 2370 2385 2384
1877 5 3 27 27 0 2146 2147 2162 2161 2371 2372 2387 2386
1878 5 3 27 27 0 2147 2148 2163 2162 2372 2373 2388 2387
1879 5 3 27 27 0 2148 2149 2164 2163 2373 2374 2389 2388
1880 5 3 27 27 0 2149 2150 2165 2164 2374 2375 2390 2389
1881 5 3 27 27 0 2150 2151 2166 2165 2375 2376 2391 2390
1882 5 3 17 17 0 2151 2152 2167 2166 2376 2377 2392 2391
1883 5 3 17 17 0 2152 2153 2168 2167 2377 2378 2393 2392
1884 5 3 17 17 0 2153 2154 2169 2168 2378 2379 2394 2393
1885 5 3 17 17 0 2154 2155 2170 2169 2379 2380 2395 2394
1886 5 3 15 15 0 2155 2156 2171 2170 2380 2381 2396 2395
1887 5 3 15 15 0 2156 2157 2172 2171 2381 2382 2397 2396
1888 5 3 22 22 0 2157 2158 2173 2172 2382 2383 2398 2397
1889 5 3 22 22 0 2158 2159 2174 2173 2383 2384 2399 2398
1890 5 3 22 22 0 2159 2160 2175 2174 2384 2385 2400 2399
1891 5 3 27 27 0 2161 2162 2177 2176 2386 2387 2402 2401
1892 5 3 27 27 0 2162 2163 2178 2177 2387 2388 2403 2402
1893 5 3 27 27 0 2163 2164 2179 2178 2388 2389 2404 2403
1894 5 3 27 27 0 2164 2165 2180 2179 2389 2390 2405 2404
1895 5 3 27 27 0 2165 2166 2181 2180 2390 2391 2406 2405
1896 5 3 17 17 0 2166 2167 2182 2181 2391 2392 2407 2406
1897 5 3 17 17 0 2167 2168 2183 2182 2392 2393 2408 2407
1898 5 3 17 17 0 2168 2169 2184 2183 2393 2394 2409 2408
1899 5 3 17 17 0 2169 2170 2185 2184 2394 2395 2410 2409
1900 5 3 17 17 0 2170 2171 2186 2185 2395 2396 2411 2410
1901 5 3 15 15 0 2171 2172 2187 2186 2396 2397 2412 2411
1902 5 3 26 26 0 2172 2173 2188 2187 2397 2398 2413 2412
1903 5 3 26 26 0 2173 2174 2189 2188 2398 2399 2414 2413
1904 5 3 26 26 0 2174 2175 2190 2189 2399 2400 2415 2414
1905 5 3 27 27 0 2176 2177 2192 2191 2401 2402 2417 2416
1906 5 3 27 27 0 2177 2178 2193 2192 2402 2403 2418 2417
1907 5 3 27 27 0 2178 2179 2194 2193 2403 2404 2419 2418
1908 5 3 27 27 0 2179 2180 2195 2194 2404 2405 2420 2419
1909 5 3 27 27 0 2180 2181 2196 2195 2405 2406 2421 2420
1910 5 3 17 17 0 2181 2182 2197 2196 2406 2407 2422 2421
1911 5 3 17 17 0 2182 2183 2198 2197 2407 2408 2423 2422
1912 5 3 17 17 0 2183 2184 2199 2198 2408 2409 2424 2423
1913 5 3 17 17 0 2184 2185 2200 2199 2409 2410 2425 2424
1914 5 3 17 17 0 2185 2186 2201 2200 2410 2411 2426 2425
1915 5 3 10 10 0 2186 2187 2202 2201 2411 2412 2427 2426
1916 5 3 10 10 0 2187 2188 2203 2202 2412 2413 2428 2427
1917 5 3 26 26 0 2188 2189 2204 2203 2413 2414 2429 2428
1918 5 3 26 26 0 2189 2190 2205 2204 2414 2415 2430 2429
1919 5 3 27 27 0 2191 2192 2207 2206 2416 2417 2432 2431
1920 5 3 27 27 0 2192 2193 2208 2207 2417 2418 2433 2432
1921 5 3 27 27 0 2193 2194 2209 2208 2418 2419 2434 2433
1922 5 3 27 27 0 2194 2195 2210 2209 2419 2420 2435 2434
1923 5 3 27 27 0 2195 2196 2211 2210 2420 2421 2436 2435
1924 5 3 17 17 0 2196 2197 2212 2211 2421 2422 2437 2436
1925 5 3 17 17 0 2197 2198 2213 2212 2422 2423 2438 2437
1926 5 3 17 17 0 2198 2199 2214 2213 2423 2424 2439 2438
1927 5 3 17 17 0 2199 2200 2215 2214 2424 2425 2440 2439
1928 5 3 17 17 0 2200 2201 2216 2215 2425 2426 2441 2440
1929 5 3 10 10 0 2201 2202 2217 2216 2426 2427 2442 2441
1930 5 3 10 10 0 2202 2203 2218 2217 2427 2428 2443 2442
1931 5 3 10 10 0 2203 2204 2219 2218 2428 2429 2444 2443
1932 5 3 26 26 0 2204 2205 2220 2219 2429 2430 2445 2444
1933 5 3 27 27 0 2206 2207 2222 2221 2431 2432 2447 2446
1934 5 3 27 27 0 2207 2208 2223 2222 2432 2433 2448 2447
1935 5 3 27 27 0 2208 2209 2224 2223 2433 2434 2449 2448
1936 5 3 27 27 0 2209 2210 2225 2224 2434 2435 2450 2449
1937 5 3 27 27 0 2210 2211 2226 2225 2435 2436 2451 2450
1938 5 3 17 17 0 2211 2212 2227 2226 2436 2437 2452 2451
1939 5 3 17 17 0 2212 2213 2228 2227 2437 2438 2453 2452
1940 5 3 17 17 0 2213 2214 2229 2228 2438 2439 2454 2453
1941 5 3 17 17 0 2214 2215 2230 2229 2439 2440 2455 2454
1942 5 3 10 10 0 2215 2216 2231 2230 2440 2441 2456 2455
1943 5 3 10 10 0 2216 2217 2232 2231 2441 2442 2457 2456
1944 5 3 10 10 0 2217 2218 2233 2232 2442 2443 2458 2457
1945 5 3 10 10 0 2218 2219 2234 2233 2443 2444 2459 2458
1946 5 3 10 10 0 2219 2220 2235 2234 2444 2445 2460 2459
1947 5 3 27 27 0 2221 2222 2237 2236 2446 2447 2462 2461
1948 5 3 27 27 0 2222 2223 2238 2237 2447 2448 2463 2462
1949 5 3 27 27 0 2223 2224 2239 2238 2448 2449 2464 2463
1950 5 3 27 27 0 2224 2225 2240 2239 2449 2450 2465 2464
1951 5 3 27 27 0 2225 2226 2241 2240 2450 2451 2466 2465
1952 5 3 27 27 0 2226 2227 2242 2241 2451 2452 2467 2466
1953 5 3 17 17 0 2227 2228 2243 2242 2452 2453 2468 2467
1954 5 3 17 17 0 2228 2229 2244 2243 2453 2454 2469 2468
1955 5 3 17 17 0 2229 2230 2245 2244 2454 2455 2470 2469
1956 5 3 10 10 0 2230 2231 2246 2245 2455 2456 2471 2470
1957 5 3 10 10 0 2231 2232 2247 2246 2456 2457 2472 2471
1958 5 3 10 10 0 2232 2233 2248 2247 2457 2458 2473 2472
1959 5 3 10 10 0 2233 2234 2249 2248 2458 2459 2474 2473
1960 5 3 10 10 0 2234 2235 2250 2249 2459 2460 2475 2474
1961 5 3 7 7 0 2251 2252 2267 2266 2476 2477 2492 2491
1962 5 3 7 7 0 2252 2253 2268 2267 2477 2478 2493 2492
1963 5 3 7 7 0 2253 2254 2269 2268 2478 2479 2494 2493
1964 5 3 7 7 0 2254 2255 2270 2269 2479 2480 2495 2494
1965 5 3 12 12 0 2255 2256 2271 2270 2480 2481 2496 2495
1966 5 3 12 12 0 2256 2257 2272 2271 2481 2482 2497 2496
1967 5 3 25 25 0 2257 2258 2273 2272 2482 2483 2498 2497
1968 5 3 25 25 0 2258 2259 2274 2273 2483 2484 2499 2498
1969 5 3 25 25 0 2259 2260 2275 2274 2484 2485 2500 2499
1970 5 3 21 21 0 2260 2261 2276 2275 2485 2486 2501 2500
1971 5 3 21 21 0 2261 2262 2277 2276 2486 2487 2502 2501
1972 5 3 21 21 0 2262 2263 2278 2277 2487 2488 2503 2502
1973 5 3 21 21 0 2263 2264 2279 2278 2488 2489 2504 2503
1974 5 3 21 21 0 2264 2265 2280 2279 2489 2490 2505 2504
1975 5 3 7 7 0 2266 2267 2282 2281 2491 2492 2507 2506
1976 5 3 7 7 0 2267 2268 2283 2282 2492 2493 2508 2507
1977 5 3 7 7 0 2268 2269 2284 2283 2493 2494 2509 2508
1978 5 3 7 7 0 2269 2270 2285 2284 2494 2495 2510 2509
1979 5 3 12 12 0 2270 2271 2286 2285 2495 2496 2511 2510
1980 5 3 12 12 0 2271 2272 2287 2286 2496 2497 2512 2511
1981 5 3 25 25 0 2272 2273 2288 2287 2497 2498 2513 2512
1982 5 3 25 25 0 2273 2274 2289 2288 2498 2499 2514 2513
1983 5 3 25 25 0 2274 2275 2290 2289 2499 2500 2515 2514
1984 5 3 21 21 0 2275 2276 2291 2290 2500 2501 2516 2515
1985 5 3 21 21 0 2276 2277 2292 2291 2501 2502 2517 2516
1986 5 3 21 21 0 2277 2278 2293 2292 2502 2503 2518 2517
1987 5 3 21 21 0 2278 2279 2294 2293 2503 2504 2519 2518
1988 5 3 21 21 0 2279 2280 2295 2294 2504 2505 2520 2519
1989 5 3 7 7 0 2281 2282 2297 2296 2506 2507 2522 2521
1990 5 3 7 7 0 2282 2283 2298 2297 2507 2508 2523 2522
1991 5 3 7 7 0 2283 2284 2299 2298 2508 2509 2524 2523
1992 5 3 7 7 0 2284 2285 2300 2299 2509 2510 2525 2524
1993 5 3 12 12 0 2285 2286 2301 2300 2510 2511 2526 2525
1994 5 3 12 12 0 2286 2287 2302 2301 2511 2512 2527 2526
1995 5 3 25 25 0 2287 2288 2303 2302 2512 2513 2528 2527
1996 5 3 25 25 0 2288 2289 2304 2303 2513 2514 2529 2528
1997 5 3 25 25 0 2289 2290 2305 2304 2514 2515 2530 2529
1998 5 3 21 21 0 2290 2291 2306 2305 2515 2516 2531 2530
1999 5 3 21 21 0 2291 2292 2307 2306 2516 2517 2532 2531
2000 5 3 21 21 0 2292 2293 2308 2307 2517 2518 2533 2532
2001 5 3 21 21 0 2293 2294 2309 2308 2518 2519 2534 2533
2002 5 3 21 21 0 2294 2295 2310 2309 2519 2520 2535 2534
2003 5 3 7 7 0 2296 2297 2312 2311 2521 2522 2537 2536
2004 5 3 7 7 0 2297 2298 2313 2312 2522 2523 2538 2537
2005 5 3 7 7 0 2298 2299 2314 2313 2523 2524 2539 2538
2006 5 3 7 7 0 2299 2300 2315 2314 2524 2525 2540 2539
2007 5 3 12 12 0 2300 2301 2316 2315 2525 2526 2541 2540
2008 5 3 12 12 0 2301 2302 2317 2316 2526 2527 2542 2541
2009 5 3 25 25 0 2302 2303 2318 2317 2527 2528 2543 2542
2010 5 3 25 25 0 2303 2304 2319 2318 2528 2529 2544 2543
2011 5 3 25 25 0 2304 2305 2320 2319 2529 2530 2545 2544
2012 5 3 21 21 0 2305 2306 2321 2320 2530 2531 2546 2545
2013 5 3 21 21 0 2306 2307 2322 2321 2531 2532 2547 2546
2014 5 3 21 21 0 2307 2308 2323 2322 2532 2533 2548 2547
2015 5 3 21 21 0 2308 2309 2324 2323 2533 2534 2549 2548
2016 5 3 21 21 0 2309 2310 2325 2324 2534 2535 2550 2549
2017 5 3 7 7 0 2311 2312 2327 2326 2536 2537 2552 2551
2018 5 3 7 7 0 2312 2313 2328 2327 2537 2538 2553 2552
2019 5 3 7 7 0 2313 2314 2329 2328 2538 2539 2554 2553
2020 5 3 28 28 0 2314 2315 2330 2329 2539 2540 2555 2554
2021 5 3 12 12 0 2315 2316 2331 2330 2540 2541 2556 2555
2022 5 3 12 12 0 2316 2317 2332 2331 2541 2542 2557 2556
2023 5 3 25 25 0 2317 2318 2333 2332 2542 2543 2558 2557
2024 5 3 25 25 0 2318 2319 2334 2333 2543 2544 2559 2558
2025 5 3 25 25 0 2319 2320 2335 2334 2544 2545 2560 2559
2026 5 3 23 23 0 2320 2321 2336 2335 2545 2546 2561 2560
2027 5 3 21 21 0 2321 2322 2337 2336 2546 2547 2562 2561
2028 5 3 21 21 0 2322 2323 2338 2337 2547 2548 2563 2562
2029 5 3 21 21 0 2323 2324 2339 2338 2548 2549 2564 2563
2030 5 3 21 21 0 2324 2325 2340 2339 2549 2550 2565 2564
2031 5 3 28 28 0 2326 2327 2342 2341 2551 2552 2567 2566
2032 5 3 28 28 0 2327 2328 2343 2342 2552 2553 2568 2567
2033 5 3 28 28 0 2328 2329 2344 2343 2553 2554 2569 2568
2034 5 3 28 28 0 2329 2330 2345 2344 2554 2555 2570 2569
2035 5 3 28 28 0 2330 2331 2346 2345 2555 2556 2571 2570
2036 5 3 25 25 0 2331 2332 2347 2346 2556 2557 2572 2571
2037 5 3 25 25 0 2332 2333 2348 2347 2557 2558 2573 2572
2038 5 3 25 25 0 2333 2334 2349 2348 2558 2559 2574 2573
2039 5 3 23 23 0 2334 2335 2350 2349 2559 2560 2575 2574
2040 5 3 23 23 0 2335 2336 2351 2350 2560 2561 2576 2575
2041 5 3 3 3 0 2336 2337 2352 2351 2561 2562 2577 2576
2042 5 3 3 3 0 2337 2338 2353 2352 2562 2563 2578 2577
2043 5 3 21 21 0 2338 2339 2354 2353 2563 2564 2579 2578
2044 5 3 21 21 0 2339 2340 2355 2354 2564 2565 2580 2579
2045 5 3 28 28 0 2341 2342 2357 2356 2566 2567 2582 2581
2046 5 3 28 28 0 2342 2343 2358 2357 2567 2568 2583 2582
2047 5 3 28 28 0 2343 2344 2359 2358 2568 2569 2584 2583
2048 5 3 28 28 0 2344 2345 2360 2359 2569 2570 2585 2584
2049 5 3 28 28 0 2345 2346 2361 2360 2570 2571 2586 2585
2050 5 3 30 30 0 2346 2347 2362 2361 2571 2572 2587 2586
2051 5 3 17 17 0 2347 2348 2363 2362 2572 2573 2588 2587
2052 5 3 23 23 0 2348 2349 2364 2363 2573 2574 2589 2588
2053 5 3 23 23 0 2349 2350 2365 2364 2574 2575 2590 2589
2054 5 3 23 23 0 2350 2351 2366 2365 2575 2576 2591 2590
2055 5 3 3 3 0 2351 2352 2367 2366 2576 2577 2592 2591
2056 5 3 3 3 0 2352 2353 2368 2367 2577 2578 2593 2592
2057 5 3 3 3 0 2353 2354 2369 2368 2578 2579 2594 2593
2058 5 3 22 22 0 2354 2355 2370 2369 2579 2580 2595 2594
2059 5 3 28 28 0 2356 2357 2372 2371 2581 2582 2597 2596
2060 5 3 28 28 0 2357 2358 2373 2372 2582 2583 2598 2597
2061 5 3 28 28 0 2358 2359 2374 2373 2583 2584 2599 2598
2062 5 3 28 28 0 2359 2360 2375 2374 2584 2585 2600 2599
2063 5 3 28 28 0 2360 2361 2376 2375 2585 2586 2601 2600
2064 5 3 17 17 0 2361 2362 2377 2376 2586 2587 2602 2601
2065 5 3 17 17 0 2362 2363 2378 2377 2587 2588 2603 2602
2066 5 3 17 17 0 2363 2364 2379 2378 2588 2589 2604 2603
2067 5 3 17 17 0 2364 2365 2380 2379 2589 2590 2605 2604
2068 5 3 3 3 0 2365 2366 2381 2380 2590 2591 2606 2605
2069 5 3 3 3 0 2366 2367 2382 2381 2591 2592 2607 2606
2070 5 3 3 3 0 2367 2368 2383 2382 2592 2593 2608 2607
2071 5 3 3 3 0 2368 2369 2384 2383 2593 2594 2609 2608
2072 5 3 22 22 0 2369 2370 2385 2384 2594 2595 2610 2609
2073 5 3 29 29 0 2371 2372 2387 2386 2596 2597 2612 2611
2074 5 3 29 29 0 2372 2373 2388 2387 2597 2598 2613 2612
2075 5 3 28 28 0 2373 2374 2389 2388 2598 2599 2614 2613
2076 5 3 28 28 0 2374 2375 2390 2389 2599 2600 2615 2614
2077 5 3 17 17 0 2375 2376 2391 2390 2600 2601 2616 2615
2078 5 3 17 17 0 2376 2377 2392 2391 2601 2602 2617 2616
2079 5 3 17 17 0 2377 2378 2393 2392 2602 2603 2618 2617
2080 5 3 17 17 0 2378 2379 2394 2393 2603 2604 2619 2618
2081 5 3 17 17 0 2379 2380 2395 2394 2604 2605 2620 2619
2082 5 3 17 17 0 2380 2381 2396 2395 2605 2606 2621 2620
2083 5 3 3 3 0 2381 2382 2397 2396 2606 2607 2622 2621
2084 5 3 26 26 0 2382 2383 2398 2397 2607 2608 2623 2622
2085 5 3 26 26 0 2383 2384 2399 2398 2608 2609 2624 2623
2086 5 3 26 26 0 2384 2385 2400 2399 2609 2610 2625 2624
2087 5 3 29 29 0 2386 2387 2402 2401 2611 2612 2627 2626
2088 5 3 27 27 0 2387 2388 2403 2402 2612 2613 2628 2627
2089 5 3 27 27 0 2388 2389 2404 2403 2613 2614 2629 2628
2090 5 3 27 27 0 2389 2390 2405 2404 2614 2615 2630 2629
2091 5 3 17 17 0 2390 2391 2406 2405 2615 2616 2631 2630
2092 5 3 17 17 0 2391 2392 2407 2406 2616 2617 2632 2631
2093 5 3 17 17 0 2392 2393 2408 2407 2617 2618 2633 2632
2094 5 3 17 17 0 2393 2394 2409 2408 2618 2619 2634 2633
2095 5 3 17 17 0 2394 2395 2410 2409 2619 2620 2635 2634
2096 5 3 17 17 0 2395 2396 2411 2410 2620 2621 2636 2635
2097 5 3 26 26 0 2396 2397 2412 2411 2621 2622 2637 2636
2098 5 3 26 26 0 2397 2398 2413 2412 2622 2623 2638 2637
2099 5 3 26 26 0 2398 2399 2414 2413 2623 2624 2639 2638
2100 5 3 26 26 0 2399 2400 2415 2414 2624 2625 2640 2639
2101 5 3 29 29 0 2401 2402 2417 2416 2626 2627 2642 2641
2102 5 3 27 27 0 2402 2403 2418 2417 2627 2628 2643 2642
2103 5 3 27 27 0 2403 2404 2419 2418 2628 2629 2644 2643
2104 5 3 27 27 0 2404 2405 2420 2419 2629 2630 2645 2644
2105 5 3 17 17 0 2405 2406 2421 2420 2630 2631 2646 2645
2106 5 3 17 17 0 2406 2407 2422 2421 2631 2632 2647 2646
2107 5 3 17 17 0 2407 2408 2423 2422 2632 2633 2648 2647
2108 5 3 17 17 0 2408 2409 2424 2423 2633 2634 2649 2648
2109 5 3 17 17 0 2409 2410 2425 2424 2634 2635 2650 2649
2110 5 3 17 17 0 2410 2411 2426 2425 2635 2636 2651 2650
2111 5 3 26 26 0 2411 2412 2427 2426 2636 2637 2652 2651
2112 5 3 26 26 0 2412 2413 2428 2427 2637 2638 2653 2652
2113 5 3 26 26 0 2413 2414 2429 2428 2638 2639 2654 2653
2114 5 3 26 26 0 2414 2415 2430 2429 2639 2640 2655 2654
2115 5 3 27 27 0 2416 2417 2432 2431 2641 2642 2657 2656
2116 5 3 27 27 0 2417 2418 2433 2432 2642 2643 2658 2657
2117 5 3 27 27 0 2418 2419 2434 2433 2643 2644 2659 2658
2118 5 3 27 27 0 2419 2420 2435 2434 2644 2645 2660 2659
2119 5 3 17 17 0 2420 2421 2436 2435 2645 2646 2661 2660
2120 5 3 17 17 0 2421 2422 2437 2436 2646 2647 2662 2661
2121 5 3 17 17 0 2422 2423 2438 2437 2647 2648 2663 2662
2122 5 3 17 17 0 2423 2424 2439 2438 2648 2649 2664 2663
2123 5 3 17 17 0 2424 2425 2440 2439 2649 2650 2665 2664
2124 5 3 17 17 0 2425 2426 2441 2440 2650 2651 2666 2665
2125 5 3 26 26 0 2426 2427 2442 2441 2651 2652 2667 2666
2126 5 3 26 26 0 2427 2428 2443 2442 2652 2653 2668 2667
2127 5 3 26 26 0 2428 2429 2444 2443 2653 2654 2669 2668
2128 5 3 26 26 0 2429 2430 2445 2444 2654 2655 2670 2669
2129 5 3 27 27 0 2431 2432 2447 2446 2656 2657 2672 2671
2130 5 3 27 27 0 2432 2433 2448 2447 2657 2658 2673 2672
2131 5 3 27 27 0 2433 2434 2449 2448 2658 2659 2674 2673
2132 5 3 27 27 0 2434 2435 2450 2449 2659 2660 2675 2674
2133 5 3 17 17 0 2435 2436 2451 2450 2660 2661 2676 2675
2134 5 3 17 17 0 2436 2437 2452 2451 2661 2662 2677 2676
2135 5 3 17 17 0 2437 2438 2453 2452 2662 2663 2678 2677
2136 5 3 17 17 0 2438 2439 2454 2453 2663 2664 2679 2678
2137 5 3 17 17 0 2439 2440 2455 2454 2664 2665 2680 2679
2138 5 3 17 17 0 2440 2441 2456 2455 2665 2666 2681 2680
2139 5 3 26 26 0 2441 2442 2457 2456 2666 2667 2682 2681
2140 5 3 26 26 0 2442 2443 2458 2457 2667 2668 2683 2682
2141 5 3 26 26 0 2443 2444 2459 2458 2668 2669 2684 2683
2142 5 3 26 26 0 2444 2445 2460 2459 2669 2670 2685 2684
2143 5 3 27 27 0 2446 2447 2462 2461 2671 2672 2687 2686
2144 5 3 27 27 0 2447 2448 2463 2462 2672 2673 2688 2687
2145 5 3 27 27 0 2448 2449 2464 2463 2673 2674 2689 2688
2146 5 3 27 27 0 2449 2450 2465 2464 2674 2675 2690 2689
2147 5 3 17 17 0 2450 2451 2466 2465 2675 2676 2691 2690
2148 5 3 17 17 0 2451 2452 2467 2466 2676 2677 2692 2691
2149 5 3 17 17 0 2452 2453 2468 2467 2677 2678 2693 2692
2150 5 3 17 17 0 2453 2454 2469 2468 2678 2679 2694 2693
2151 5 3 17 17 0 2454 2455 2470 2469 2679 2680 2695 2694
2152 5 3 17 17 0 2455 2456 2471 2470 2680 2681 2696 2695
2153 5 3 26 26 0 2456 2457 2472 2471 2681 2682 2697 2696
2154 5 3 26 26 0 2457 2458 2473 2472 2682 2683 2698 2697
2155 5 3 26 26 0 2458 2459 2474 2473 2683 2684 2699 2698
2156 5 3 26 26 0 2459 2460 2475 2474 2684 2685 2700 2699
2157 5 3 7 7 0 2476 2477 2492 2491 2701 2702 2717 2716
2158 5 3 7 7 0 2477 2478 2493 2492 2702 2703 2718 2717
2159 5 3 7 7 0 2478 2479 2494 2493 2703 2704 2719 2718
2160 5 3 7 7 0 2479 2480 2495 2494 2704 2705 2720 2719
2161 5 3 7 7 0 2480 2481 2496 2495 2705 2706 2721 2720
2162 5 3 25 25 0 2481 2482 2497 2496 2706 2707 2722 2721
2163 5 3 25 25 0 2482 2483 2498 2497 2707 2708 2723 2722
2164 5 3 25 25 0 2483 2484 2499 2498 2708 2709 2724 2723
2165 5 3 25 25 0 2484 2485 2500 2499 2709 2710 2725 2724
2166 5 3 21 21 0 2485 2486 2501 2500 2710 2711 2726 2725
2167 5 3 21 21 0 2486 2487 2502 2501 2711 2712 2727 2726
2168 5 3 21 21 0 2487 2488 2503 2502 2712 2713 2728 2727
2169 5 3 21 21 0 2488 2489 2504 2503 2713 2714 2729 2728
2170 5 3 21 21 0 2489 2490 2505 2504 2714 2715 2730 2729
2171 5 3 7 7 0 2491 2492 2507 2506 2716 2717 2732 2731
2172 5 3 7 7 0 2492 2493 2508 2507 2717 2718 2733 2732
2173 5 3 7 7 0 2493 2494 2509 2508 2718 2719 2734 2733
2174 5 3 7 7 0 2494 2495 2510 2509 2719 2720 2735 2734
2175 5 3 7 7 0 2495 2496 2511 2510 2720 2721 2736 2735
2176 5 3 25 25 0 2496 2497 2512 2511 2721 2722 2737 2736
2177 5 3 25 25 0 2497 2498 2513 2512 2722 2723 2738 2737
2178 5 3 25 25 0 2498 2499 2514 2513 2723 2724 2739 2738
2179 5 3 25 25 0 2499 2500 2515 2514 2724 2725 2740 2739
2180 5 3 21 21 0 2500 2501 2516 2515 2725 2726 2741 2740
2181 5 3 21 21 0 2501 2502 2517 2516 2726 2727 2742 2741
2182 5 3 21 21 0 2502 2503 2518 2517 2727 2728 2743 2742
2183 5 3 21 21 0 2503 2504 2519 2518 2728 2729 2744 2743
2184 5 3 21 21 0 2504 2505 2520 2519 2729 2730 2745 2744
2185 5 3 7 7 0 2506 2507 2522 2521 2731 2732 2747 2746
2186 5 3 7 7 0 2507 2508 2523 2522 2732 2733 2748 2747
2187 5 3 7 7 0 2508 2509 2524 2523 2733 2734 2749 2748
2188 5 3 7 7 0 2509 2510 2525 2524 2734 2735 2750 2749
2189 5 3 7 7 0 2510 2511 2526 2525 2735 2736 2751 2750
2190 5 3 25 25 0 2511 2512 2527 2526 2736 2737 2752 2751
2191 5 3 25 25 0 2512 2513 2528 2527 2737 2738 2753 2752
2192 5 3 25 25 0 2513 2514 2529 2528 2738 2739 2754 2753
2193 5 3 25 25 0 2514 2515 2530 2529 2739 2740 2755 2754
2194 5 3 21 21 0 2515 2516 2531 2530 2740 2741 2756 2755
2195 5 3 21 21 0 2516 2517 2532 2531 2741 2742 2757 2756
2196 5 3 21 21 0 2517 2518 2533 2532 2742 2743 2758 2757
2197 5 3 21 21 0 2518 2519 2534 2533 2743 2744 2759 2758
2198 5 3 21 21 0 2519 2520 2535 2534 2744 2745 2760 2759
2199 5 3 7 7 0 2521 2522 2537 2536 2746 2747 2762 2761
2200 5 3 7 7 0 2522 2523 2538 2537 2747 2748 2763 2762
2201 5 3 7 7 0 2523 2524 2539 2538 2748 2749 2764 2763
2202 5 3 7 7 0 2524 2525 2540 2539 2749 2750 2765 2764
2203 5 3 7 7 0 2525 2526 2541 2540 2750 2751 2766 2765
2204 5 3 25 25 0 2526 2527 2542 2541 2751 2752 2767 2766
2205 5 3 25 25 0 2527 2528 2543 2542 2752 2753 2768 2767
2206 5 3 25 25 0 2528 2529 2544 2543 2753 2754 2769 2768
2207 5 3 25 25 0 2529 2530 2545 2544 2754 2755 2770 2769
2208 5 3 25 25 0 2530 2531 2546 2545 2755 2756 2771 2770
2209 5 3 21 21 0 2531 2532 2547 2546 2756 2757 2772 2771
2210 5 3 21 21 0 2532 2533 2548 2547 2757 2758 2773 2772
2211 5 3 21 21 0 2533 2534 2549 2548 2758 2759 2774 2773
2212 5 3 21 21 0 2534 2535 2550 2549 2759 2760 2775 2774
2213 5 3 7 7 0 2536 2537 2552 2551 2761 2762 2777 2776
2214 5 3 7 7 0 2537 2538 2553 2552 2762 2763 2778 2777
2215 5 3 7 7 0 2538 2539 2554 2553 2763 2764 2779 2778
2216 5 3 7 7 0 2539 2540 2555 2554 2764 2765 2780 2779
2217 5 3 7 7 0 2540 2541 2556 2555 2765 2766 2781 2780
2218 5 3 25 25 0 2541 2542 2557 2556 2766 2767 2782 2781
2219 5 3 25 25 0 2542 2543 2558 2557 2767 2768 2783 2782
2220 5 3 25 25 0 2543 2544 2559 2558 2768 2769 2784 2783
2221 5 3 25 25 0 2544 2545 2560 2559 2769 2770 2785 2784
2222 5 3 25 25 0 2545 2546 2561 2560 2770 2771 2786 2785
2223 5 3 21 21 0 2546 2547 2562 2561 2771 2772 2787 2786
2224 5 3 21 21 0 2547 2548 2563 2562 2772 2773 2788 2787
2225 5 3 21 21 0 2548 2549 2564 2563 2773 2774 2789 2788
2226 5 3 21 21 0 2549 2550 2565 2564 2774 2775 2790 2789
2227 5 3 7 7 0 2551 2552 2567 2566 2776 2777 2792 2791
2228 5 3 7 7 0 2552 2553 2568 2567 2777 2778 2793 2792
2229 5 3 7 7 0 2553 2554 2569 2568 2778 2779 2794 2793
2230 5 3 28 28 0 2554 2555 2570 2569 2779 2780 2795 2794
2231 5 3 28 28 0 2555 2556 2571 2570 2780 2781 2796 2795
2232 5 3 25 25 0 2556 2557 2572 2571 2781 2782 2797 2796
2233 5 3 25 25 0 2557 2558 2573 2572 2782 2783 2798 2797
2234 5 3 25 25 0 2558 2559 2574 2573 2783 2784 2799 2798
2235 5 3 25 25 0 2559 2560 2575 2574 2784 2785 2800 2799
2236 5 3 3 3 0 2560 2561 2576 2575 2785 2786 2801 2800
2237 5 3 3 3 0 2561 2562 2577 2576 2786 2787 2802 2801
2238 5 3 3 3 0 2562 2563 2578 2577 2787 2788 2803 2802
2239 5 3 3 3 0 2563 2564 2579 2578 2788 2789 2804 2803
2240 5 3 3 3 0 2564 2565 2580 2579 2789 2790 2805 2804
2241 5 3 28 28 0 2566 2567 2582 2581 2791 2792 2807 2806
2242 5 3 28 28 0 2567 2568 2583 2582 2792 2793 2808 2807
2243 5 3 28 28 0 2568 2569 2584 2583 2793 2794 2809 2808
2244 5 3 28 28 0 2569 2570 2585 2584 2794 2795 2810 2809
2245 5 3 28 28 0 2570 2571 2586 2585 2795 2796 2811 2810
2246 5 3 17 17 0 2571 2572 2587 2586 2796 2797 2812 2811
2247 5 3 17 17 0 2572 2573 2588 2587 2797 2798 2813 2812
2248 5 3 17 17 0 2573 2574 2589 2588 2798 2799 2814 2813
2249 5 3 25 25 0 2574 2575 2590 2589 2799 2800 2815 2814
2250 5 3 3 3 0 2575 2576 2591 2590 2800 2801 2816 2815
2251 5 3 3 3 0 2576 2577 2592 2591 2801 2802 2817 2816
2252 5 3 3 3 0 2577 2578 2593 2592 2802 2803 2818 2817
2253 5 3 3 3 0 2578 2579 2594 2593 2803 2804 2819 2818
2254 5 3 3 3 0 2579 2580 2595 2594 2804 2805 2820 2819
2255 5 3 29 29 0 2581 2582 2597 2596 2806 2807 2822 2821
2256 5 3 29 29 0 2582 2583 2598 2597 2807 2808 2823 2822
2257 5 3 28 28 0 2583 2584 2599 2598 2808 2809 2824 2823
2258 5 3 28 28 0 2584 2585 2600 2599 2809 2810 2825 2824
2259 5 3 17 17 0 2585 2586 2601 2600 2810 2811 2826 2825
2260 5 3 17 17 0 2586 2587 2602 2601 2811 2812 2827 2826
2261 5 3 17 17 0 2587 2588 2603 2602 2812 2813 2828 2827
2262 5 3 17 17 0 2588 2589 2604 2603 2813 2814 2829 2828
2263 5 3 17 17 0 2589 2590 2605 2604 2814 2815 2830 2829
2264 5 3 3 3 0 2590 2591 2606 2605 2815 2816 2831 2830
2265 5 3 3 3 0 2591 2592 2607 2606 2816 2817 2832 2831
2266 5 3 3 3 0 2592 2593 2608 2607 2817 2818 2833 2832
2267 5 3 3 3 0 2593 2594 2609 2608 2818 2819 2834 2833
2268 5 3 3 3 0 2594 2595 2610 2609 2819 2820 2835 2834
2269 5 3 29 29 0 2596 2597 2612 2611 2821 2822 2837 2836
2270 5 3 29 29 0 2597 2598 2613 2612 2822 2823 2838 2837
2271 5 3 29 29 0 2598 2599 2614 2613 2823 2824 2839 2838
2272 5 3 17 17 0 2599 2600 2615 2614 2824 2825 2840 2839
2273 5 3 17 17 0 2600 2601 2616 2615 2825 2826 2841 2840
2274 5 3 17 17 0 2601 2602 2617 2616 2826 2827 2842 2841
2275 5 3 17 17 0 2602 2603 2618 2617 2827 2828 2843 2842
2276 5 3 17 17 0 2603 2604 2619 2618 2828 2829 2844 2843
2277 5 3 17 17 0 2604 2605 2620 2619 2829 2830 2845 2844
2278 5 3 17 17 0 2605 2606 2621 2620 2830 2831 2846 2845
2279 5 3 3 3 0 2606 2607 2622 2621 2831 2832 2847 2846
2280 5 3 3 3 0 2607 2608 2623 2622 2832 2833 2848 2847
2281 5 3 26 26 0 2608 2609 2624 2623 2833 2834 2849 2848
2282 5 3 26 26 0 2609 2610 2625 2624 2834 2835 2850 2849
2283 5 3 29 29 0 2611 2612 2627 2626 2836 2837 2852 2851
2284 5 3 29 29 0 2612 2613 2628 2627 2837 2838 2853 2852
2285 5 3 29 29 0 2613 2614 2629 2628 2838 2839 2854 2853
2286 5 3 29 29 0 2614 2615 2630 2629 2839 2840 2855 2854
2287 5 3 17 17 0 2615 2616 2631 2630 2840 2841 2856 2855
2288 5 3 17 17 0 2616 2617 2632 2631 2841 2842 2857 2856
2289 5 3 17 17 0 2617 2618 2633 2632 2842 2843 2858 2857
2290 5 3 17 17 0 2618 2619 2634 2633 2843 2844 2859 2858
2291 5 3 17 17 0 2619 2620 2635 2634 2844 2845 2860 2859
2292 5 3 17 17 0 2620 2621 2636 2635 2845 2846 2861 2860
2293 5 3 26 26 0 2621 2622 2637 2636 2846 2847 2862 2861
2294 5 3 26 26 0 2622 2623 2638 2637 2847 2848 2863 2862
2295 5 3 26 26 0 2623 2624 2639 2638 2848 2849 2864 2863
2296 5 3 26 26 0 2624 2625 2640 2639 2849 2850 2865 2864
2297 5 3 29 29 0 2626 2627 2642 2641 2851 2852 2867 2866
2298 5 3 29 29 0 2627 2628 2643 2642 2852 2853 2868 2867
2299 5 3 29 29 0 2628 2629 2644 2643 2853 2854 2869 2868
2300 5 3 29 29 0 2629 2630 2645 2644 2854 2855 2870 2869
2301 5 3 17 17 0 2630 2631 2646 2645 2855 2856 2871 2870
2302 5 3 17 17 0 2631 2632 2647 2646 2856 2857 2872 2871
2303 5 3 17 17 0 2632 2633 2648 2647 2857 2858 2873 2872
2304 5 3 17 17 0 2633 2634 2649 2648 2858 2859 2874 2873
2305 5 3 17 17 0 2634 2635 2650 2649 2859 2860 2875 2874
2306 5 3 17 17 0 2635 2636 2651 2650 2860 2861 2876 2875
2307 5 3 26 26 0 2636 2637 2652 2651 2861 2862 2877 2876
2308 5 3 26 26 0 2637 2638 2653 2652 2862 2863 2878 2877
2309 5 3 26 26 0 2638 2639 2654 2653 2863 2864 2879 2878
2310 5 3 26 26 0 2639 2640 2655 2654 2864 2865 2880 2879
2311 5 3 29 29 0 2641 2642 2657 2656 2866 2867 2882 2881
2312 5 3 29 29 0 2642 2643 2658 2657 2867 2868 2883 2882
2313 5 3 29 29 0 2643 2644 2659 2658 2868 2869 2884 2883
2314 5 3 29 29 0 2644 2645 2660 2659 2869 2870 2885 2884
2315 5 3 17 17 0 2645 2646 2661 2660 2870 2871 2886 2885
2316 5 3 17 17 0 2646 2647 2662 2661 2871 2872 2887 2886
2317 5 3 17 17 0 2647 2648 2663 2662 2872 2873 2888 2887
2318 5 3 17 17 0 2648 2649 2664 2663 2873 2874 2889 2888
2319 5 3 17 17 0 2649 2650 2665 2664 2874 2875 2890 2889
2320 5 3 17 17 0 2650 2651 2666 2665 2875 2876 2891 2890
2321 5 3 26 26 0 2651 2652 2667 2666 2876 2877 2892 2891
2322 5 3 26 26 0 2652 2653 2668 2667 2877 2878 2893 2892
2323 5 3 26 26 0 2653 2654 2669 2668 2878 2879 2894 2893
2324 5 3 26 26 0 2654 2655 2670 2669 2879 2880 2895 2894
2325 5 3 29 29 0 2656 2657 2672 2671 2881 2882 2897 2896
2326 5 3 29 29 0 2657 2658 2673 2672 2882 2883 2898 2897
2327 5 3 29 29 0 2658 2659 2674 2673 2883 2884 2899 2898
2328 5 3 29 29 0 2659 2660 2675 2674 2884 2885 2900 2899
2329 5 3 17 17 0 2660 2661 2676 2675 2885 2886 2901 2900
2330 5 3 17 17 0 2661 2662 2677 2676 2886 2887 2902 2901
2331 5 3 17 17 0 2662 2663 2678 2677 2887 2888 2903 2902
2332 5 3 17 17 0 2663 2664 2679 2678 2888 2889 2904 2903
2333 5 3 17 17 0 2664 2665 2680 2679 2889 2890 2905 2904
2334 5 3 17 17 0 2665 2666 2681 2680 2890 2891 2906 2905
2335 5 3 26 26 0 2666 2667 2682 2681 2891 2892 2907 2906
2336 5 3 26 26 0 2667 2668 2683 2682 2892 2893 2908 2907
2337 5 3 26 26 0 2668 2669 2684 2683 2893 2894 2909 2908
2338 5 3 26 26 0 2669 2670 2685 2684 2894 2895 2910 2909
2339 5 3 29 29 0 2671 2672 2687 2686 2896 2897 2912 2911
2340 5 3 29 29 0 2672 2673 2688 2687 2897 2898 2913 2912
2341 5 3 29 29 0 2673 2674 2689 2688 2898 2899 2914 2913
2342 5 3 29 29 0 2674 2675 2690 2689 2899 2900 2915 2914
2343 5 3 17 17 0 2675 2676 2691 2690 2900 2901 2916 2915
2344 5 3 17 17 0 2676 2677 2692 2691 2901 2902 2917 2916
2345 5 3 17 17 0 2677 2678 2693 2692 2902 2903 2918 2917
2346 5 3 17 17 0 2678 2679 2694 2693 2903 2904 2919 2918
2347 5 3 17 17 0 2679 2680 2695 2694 2904 2905 2920 2919
2348 5 3 17 17 0 2680 2681 2696 2695 2905 2906 2921 2920
2349 5 3 26 26 0 2681 2682 2697 2696 2906 2907 2922 2921
2350 5 3 26 26 0 2682 2683 2698 2697 2907 2908 2923 2922
2351 5 3 26 26 0 2683 2684 2699 2698 2908 2909 2924 2923
2352 5 3 26 26 0 2684 2685 2700 2699 2909 2910 2925 2924
2353 5 3 7 7 0 2701 2702 2717 2716 2926 2927 2942 2941
2354 5 3 7 7 0 2702 2703 2718 2717 2927 2928 2943 2942
2355 5 3 7 7 0 2703 2704 2719 2718 2928 2929 2944 2943
2356 5 3 7 7 0 2704 2705 2720 2719 2929 2930 2945 2944
2357 5 3 7 7 0 2705 2706 2721 2720 2930 2931 2946 2945
2358 5 3 25 25 0 2706 2707 2722 2721 2931 2932 2947 2946
2359 5 3 25 25 0 2707 2708 2723 2722 2932 2933 2948 2947
2360 5 3 25 25 0 2708 2709 2724 2723 2933 2934 2949 2948
2361 5 3 25 25 0 2709 2710 2725 2724 2934 2935 2950 2949
2362 5 3 21 21 0 2710 2711 2726 2725 2935 2936 2951 2950
2363 5 3 21 21 0 2711 2712 2727 2726 2936 2937 2952 2951
2364 5 3 21 21 0 2712 2713 2728 2727 2937 2938 2953 2952
2365 5 3 21 21 0 2713 2714 2729 2728 2938 2939 2954 2953
2366 5 3 21 21 0 2714 2715 2730 2729 2939 2940 2955 2954
2367 5 3 7 7 0 2716 2717 2732 2731 2941 2942 2957 2956
2368 5 3 7 7 0 2717 2718 2733 2732 2942 2943 2958 2957
2369 5 3 7 7 0 2718 2719 2734 2733 2943 2944 2959 2958
2370 5 3 7 7 0 2719 2720 2735 2734 2944 2945 2960 2959
2371 5 3 7 7 0 2720 2721 2736 2735 2945 2946 2961 2960
2372 5 3 25 25 0 2721 2722 2737 2736 2946 2947 2962 2961
2373 5 3 25 25 0 2722 2723 2738 2737 2947 2948 2963 2962
2374 5 3 25 25 0 2723 2724 2739 2738 2948 2949 2964 2963
2375 5 3 25 25 0 2724 2725 2740 2739 2949 2950 2965 2964
2376 5 3 21 21 0 2725 2726 2741 2740 2950 2951 2966 2965
2377 5 3 21 21 0 2726 2727 2742 2741 2951 2952 2967 2966
2378 5 3 21 21 0 2727 2728 2743 2742 2952 2953 2968 2967
2379 5 3 21 21 0 2728 2729 2744 2743 2953 2954 2969 2968
2380 5 3 21 21 0 2729 2730 2745 2744 2954 2955 2970 2969
2381 5 3 7 7 0 2731 2732 2747 2746 2956 2957 2972 2971
2382 5 3 7 7 0 2732 2733 2748 2747 2957 2958 2973 2972
2383 5 3 7 7 0 2733 2734 2749 2748 2958 2959 2974 2973
2384 5 3 7 7 0 2734 2735 2750 2749 2959 2960 2975 2974
2385 5 3 7 7 0 2735 2736 2751 2750 2960 2961 2976 2975
2386 5 3 25 25 0 2736 2737 2752 2751 2961 2962 2977 2976
2387 5 3 25 25 0 2737 2738 2753 2752 2962 2963 2978 2977
2388 5 3 25 25 0 2738 2739 2754 2753 2963 2964 2979 2978
2389 5 3 25 25 0 2739 2740 2755 2754 2964 2965 2980 2979
2390 5 3 25 25 0 2740 2741 2756 2755 2965 2966 2981 2980
2391 5 3 21 21 0 2741 2742 2757 2756 2966 2967 2982 2981
2392 5 3 21 21 0 2742 2743 2758 2757 2967 2968 2983 2982
2393 5 3 21 21 0 2743 2744 2759 2758 2968 2969 2984 2983
2394 5 3 21 21 0 2744 2745 2760 2759 2969 2970 2985 2984
2395 5 3 7 7 0 2746 2747 2762 2761 2971 2972 2987 2986
2396 5 3 7 7 0 2747 2748 2763 2762 2972 2973 2988 2987
2397 5 3 7 7 0 2748 2749 2764 2763 2973 2974 2989 2988
2398 5 3 7 7 0 2749 2750 2765 2764 2974 2975 2990 2989
2399 5 3 7 7 0 2750 2751 2766 2765 2975 2976 2991 2990
2400 5 3 25 25 0 2751 2752 2767 2766 2976 2977 2992 2991
2401 5 3 25 25 0 2752 2753 2768 2767 2977 2978 2993 2992
2402 5 3 25 25 0 2753 2754 2769 2768 2978 2979 2994 2993
2403 5 3 25 25 0 2754 2755 2770 2769 2979 2980 2995 2994
2404 5 3 25 25 0 2755 2756 2771 2770 2980 2981 2996 2995
2405 5 3 21 21 0 2756 2757 2772 2771 2981 2982 2997 2996
2406 5 3 21 21 0 2757 2758 2773 2772 2982 2983 2998 2997
2407 5 3 21 21 0 2758 2759 2774 2773 2983 2984 2999 2998
2408 5 3 21 21 0 2759 2760 2775 2774 2984 2985 3000 2999
2409 5 3 7 7 0 2761 2762 2777 2776 2986 2987 3002 3001
2410 5 3 7 7 0 2762 2763 2778 2777 2987 2988 3003 3002
2411 5 3 7 7 0 2763 2764 2779 2778 2988 2989 3004 3003
2412 5 3 7 7 0 2764 2765 2780 2779 2989 2990 3005 3004
2413 5 3 7 7 0 2765 2766 2781 2780 2990 2991 3006 3005
2414 5 3 25 25 0 2766 2767 2782 2781 2991 2992 3007 3006
2415 5 3 25 25 0 2767 2768 2783 2782 2992 2993 3008 3007
2416 5 3 25 25 0 2768 2769 2784 2783 2993 2994 3009 3008
2417 5 3 25 25 0 2769 2770 2785 2784 2994 2995 3010 3009
2418 5 3 25 25 0 2770 2771 2786 2785 2995 2996 3011 3010
2419 5 3 21 21 0 2771 2772 2787 2786 2996 2997 3012 3011
2420 5 3 21 21 0 2772 2773 2788 2787 2997 2998 3013 3012
2421 5 3 21 21 0 2773 2774 2789 2788 2998 2999 3014 3013
2422 5 3 21 21 0 2774 2775 2790 2789 2999 3000 3015 3014
2423 5 3 7 7 0 2776 2777 2792 2791 3001 3002 3017 3016
2424 5 3 7 7 0 2777 2778 2793 2792 3002 3003 3018 3017
2425 5 3 7 7 0 2778 2779 2794 2793 3003 3004 3019 3018
2426 5 3 7 7 0 2779 2780 2795 2794 3004 3005 3020 3019
2427 5 3 7 7 0 2780 2781 2796 2795 3005 3006 3021 3020
2428 5 3 25 25 0 2781 2782 2797 2796 3006 3007 3022 3021
2429 5 3 25 25 0 2782 2783 2798 2797 3007 3008 3023 3022
2430 5 3 25 25 0 2783 2784 2799 2798 3008 3009 3024 3023
2431 5 3 25 25 0 2784 2785 2800 2799 3009 3010 3025 3024
2432 5 3 3 3 0 2785 2786 2801 2800 3010 3011 3026 3025
2433 5 3 3 3 0 2786 2787 2802 2801 3011 3012 3027 3026
2434 5 3 3 3 0 2787 2788 2803 2802 3012 3013 3028 3027
2435 5 3 3 3 0 2788 2789 2804 2803 3013 3014 3029 3028
2436 5 3 3 3 0 2789 2790 2805 2804 3014 3015 3030 3029
2437 5 3 7 7 0 2791 2792 2807 2806 3016 3017 3032 3031
2438 5 3 7 7 0 2792 2793 2808 2807 3017 3018 3033 3032
2439 5 3 28 28 0 2793 2794 2809 2808 3018 3019 3034 3033
2440 5 3 28 28 0 2794 2795 2810 2809 3019 3020 3035 3034
2441 5 3 17 17 0 2795 2796 2811 2810 3020 3021 3036 3035
2442 5 3 17 17 0 2796 2797 2812 2811 3021 3022 3037 3036
2443 5 3 17 17 0 2797 2798 2813 2812 3022 3023 3038 3037
2444 5 3 17 17 0 2798 2799 2814 2813 3023 3024 3039 3038
2445 5 3 25 25 0 2799 2800 2815 2814 3024 3025 3040 3039
2446 5 3 3 3 0 2800 2801 2816 2815 3025 3026 3041 3040
2447 5 3 3 3 0 2801 2802 2817 2816 3026 3027 3042 3041
2448 5 3 3 3 0 2802 2803 2818 2817 3027 3028 3043 3042
2449 5 3 3 3 0 2803 2804 2819 2818 3028 3029 3044 3043
2450 5 3 3 3 0 2804 2805 2820 2819 3029 3030 3045 3044
2451 5 3 29 29 0 2806 2807 2822 2821 3031 3032 3047 3046
2452 5 3 29 29 0 2807 2808 2823 2822 3032 3033 3048 3047
2453 5 3 29 29 0 2808 2809 2824 2823 3033 3034 3049 3048
2454 5 3 29 29 0 2809 2810 2825 2824 3034 3035 3050 3049
2455 5 3 17 17 0 2810 2811 2826 2825 3035 3036 3051 3050
2456 5 3 17 17 0 2811 2812 2827 2826 3036 3037 3052 3051
2457 5 3 17 17 0 2812 2813 2828 2827 3037 3038 3053 3052
2458 5 3 17 17 0 2813 2814 2829 2828 3038 3039 3054 3053
2459 5 3 17 17 0 2814 2815 2830 2829 3039 3040 3055 3054
2460 5 3 3 3 0 2815 2816 2831 2830 3040 3041 3056 3055
2461 5 3 3 3 0 2816 2817 2832 2831 3041 3042 3057 3056
2462 5 3 3 3 0 2817 2818 2833 2832 3042 3043 3058 3057
2463 5 3 3 3 0 2818 2819 2834 2833 3043 3044 3059 3058
2464 5 3 3 3 0 2819 2820 2835 2834 3044 3045 3060 3059
2465 5 3 29 29 0 2821 2822 2837 2836 3046 3047 3062 3061
2466 5 3 29 29 0 2822 2823 2838 2837 3047 3048 3063 3062
2467 5 3 29 29 0 2823 2824 2839 2838 3048 3049 3064 3063
2468 5 3 29 29 0 2824 2825 2840 2839 3049 3050 3065 3064
2469 5 3 17 17 0 2825 2826 2841 2840 3050 3051 3066 3065
2470 5 3 17 17 0 2826 2827 2842 2841 3051 3052 3067 3066
2471 5 3 17 17 0 2827 2828 2843 2842 3052 3053 3068 3067
2472 5 3 17 17 0 2828 2829 2844 2843 3053 3054 3069 3068
2473 5 3 17 17 0 2829 2830 2845 2844 3054 3055 3070 3069
2474 5 3 17 17 0 2830 2831 2846 2845 3055 3056 3071 3070
2475 5 3 3 3 0 2831 2832 2847 2846 3056 3057 3072 3071
2476 5 3 3 3 0 2832 2833 2848 2847 3057 3058 3073 3072
2477 5 3 3 3 0 2833 2834 2849 2848 3058 3059 3074 3073
2478 5 3 26 26 0 2834 2835 2850 2849 3059 3060 3075 3074
2479 5 3 29 29 0 2836 2837 2852 2851 3061 3062 3077 3076
2480 5 3 29 29 0 2837 2838 2853 2852 3062 3063 3078 3077
2481 5 3 29 29 0 2838 2839 2854 2853 3063 3064 3079 3078
2482 5 3 29 29 0 2839 2840 2855 2854 3064 3065 3080 3079
2483 5 3 17 17 0 2840 2841 2856 2855 3065 3066 3081 3080
2484 5 3 17 17 0 2841 2842 2857 2856 3066 3067 3082 3081
2485 5 3 17 17 0 2842 2843 2858 2857 3067 3068 3083 3082
2486 5 3 17 17 0 2843 2844 2859 2858 3068 3069 3084 3083
2487 5 3 17 17 0 2844 2845 2860 2859 3069 3070 3085 3084
2488 5 3 17 17 0 2845 2846 2861 2860 3070 3071 3086 3085
2489 5 3 26 26 0 2846 2847 2862 2861 3071 3072 3087 3086
2490 5 3 26 26 0 2847 2848 2863 2862 3072 3073 3088 3087
2491 5 3 26 26 0 2848 2849 2864 2863 3073 3074 3089 3088
2492 5 3 26 26 0 2849 2850 2865 2864 3074 3075 3090 3089
2493 5 3 29 29 0 2851 2852 2867 2866 3076 3077 3092 3091
2494 5 3 29 29 0 2852 2853 2868 2867 3077 3078 3093 3092
2495 5 3 29 29 0 2853 2854 2869 2868 3078 3079 3094 3093
2496 5 3 29 29 0 2854 2855 2870 2869 3079 3080 3095 3094
2497 5 3 17 17 0 2855 2856 2871 2870 3080 3081 3096 3095
2498 5 3 17 17 0 2856 2857 2872 2871 3081 3082 3097 3096
2499 5 3 17 17 0 2857 2858 2873 2872 3082 3083 3098 3097
2500 5 3 17 17 0 2858 2859 2874 2873 3083 3084 3099 3098
2501 5 3 17 17 0 2859 2860 2875 2874 3084 3085 3100 3099
2502 5 3 17 17 0 2860 2861 2876 2875 3085 3086 3101 3100
2503 5 3 26 26 0 2861 2862 2877 2876 3086 3087 3102 3101
2504 5 3 26 26 0 2862 2863 2878 2877 3087 3088 3103 3102
2505 5 3 26 26 0 2863 2864 2879 2878 3088 3089 3104 3103
2506 5 3 26 26 0 2864 2865 2880 2879 3089 3090 3105 3104
2507 5 3 29 29 0 2866 2867 2882 2881 3091 3092 3107 3106
2508 5 3 29 29 0 2867 2868 2883 2882 3092 3093 3108 3107
2509 5 3 29 29 0 2868 2869 2884 2883 3093 3094 3109 3108
2510 5 3 29 29 0 2869 2870 2885 2884 3094 3095 3110 3109
2511 5 3 17 17 0 2870 2871 2886 2885 3095 3096 3111 3110
2512 5 3 17 17 0 2871 2872 2887 2886 3096 3097 3112 3111
2513 5 3 17 17 0 2872 2873 2888 2887 3097 3098 3113 3112
2514 5 3 17 17 0 2873 2874 2889 2888 3098 3099 3114 3113
2515 5 3 17 17 0 2874 2875 2890 2889 3099 3100 3115 3114
2516 5 3 17 17 0 2875 2876 2891 2890 3100 3101 3116 3115
2517 5 3 26 26 0 2876 2877 2892 2891 3101 3102 3117 3116
2518 5 3 26 26 0 2877 2878 2893 2892 3102 3103 3118 3117
2519 5 3 26 26 0 2878 2879 2894 2893 3103 3104 3119 3118
2520 5 3 26 26 0 2879 2880 2895 2894 3104 3105 3120 3119
2521 5 3 29 29 0 2881 2882 2897 2896 3106 3107 3122 3121
2522 5 3 29 29 0 2882 2883 2898 2897 3107 3108 3123 3122
2523 5 3 29 29 0 2883 2884 2899 2898 3108 3109 3124 3123
2524 5 3 29 29 0 2884 2885 2900 2899 3109 3110 3125 3124
2525 5 3 17 17 0 2885 2886 2901 2900 3110 3111 3126 3125
2526 5 3 17 17 0 2886 2887 2902 2901 3111 3112 3127 3126
2527 5 3 17 17 0 2887 2888 2903 2902 3112 3113 3128 3127
2528 5 3 17 17 0 2888 2889 2904 2903 3113 3114 3129 3128
2529 5 3 17 17 0 2889 2890 2905 2904 3114 3115 3130 3129
2530 5 3 17 17 0 2890 2891 2906 2905 3115 3116 3131 3130
2531 5 3 26 26 0 2891 2892 2907 2906 3116 3117 3132 3131
2532 5 3 26 26 0 2892 2893 2908 2907 3117 3118 3133 3132
2533 5 3 26 26 0 2893 2894 2909 2908 3118 3119 3134 3133
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$EndPhysicalNames
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FILE: Neper2Abaqus/Step-2b Python/abq_tet.inp
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766, 1.000000e+00, 7.281295e-01, 7.761422e-01
767, 1.000000e+00, 9.103024e-01, 9.044654e-01
768, 1.000000e+00, 8.716983e-01, 7.791288e-01
769, 8.594184e-01, 1.000000e+00, 8.590065e-01
770, 9.316974e-01, 1.000000e+00, 9.261562e-01
771, 7.825716e-01, 1.000000e+00, 7.887150e-01
772, 8.688596e-01, 9.284999e-01, 1.000000e+00
773, 8.509990e-01, 7.220260e-01, 1.000000e+00
774, 8.686941e-01, 8.181692e-01, 1.000000e+00
775, 0.000000e+00, 6.340273e-01, 5.987154e-01
776, 0.000000e+00, 9.144822e-01, 6.013193e-01
777, 0.000000e+00, 7.832067e-01, 6.041467e-01
778, 1.189704e-01, 1.000000e+00, 6.411952e-01
779, 2.305757e-01, 1.000000e+00, 6.832924e-01
780, 2.166051e-01, 1.000000e+00, 5.648907e-01
781, 3.220714e-01, 1.000000e+00, 5.913268e-01
782, 3.213962e-01, 5.665726e-01, 5.843746e-01
783, 2.032142e-01, 5.593860e-01, 6.609338e-01
784, 8.909884e-02, 5.506090e-01, 6.598292e-01
785, 1.349402e-01, 8.128766e-01, 7.682993e-01
786, 1.470553e-01, 7.083043e-01, 7.614788e-01
787, 9.017868e-02, 9.054197e-01, 7.690756e-01
788, 0.000000e+00, 4.636118e-01, 7.062484e-01
789, 3.153200e-01, 4.864523e-01, 6.596856e-01
790, 8.287885e-02, 5.253858e-01, 8.240000e-01
791, 1.608893e-01, 5.516252e-01, 8.222148e-01
792, 0.000000e+00, 5.389533e-01, 9.024085e-01
793, 0.000000e+00, 6.411467e-01, 8.623852e-01
794, 0.000000e+00, 9.194500e-01, 8.782130e-01
795, 0.000000e+00, 7.903032e-01, 8.733115e-01
796, 1.304959e-01, 1.000000e+00, 8.944730e-01
797, 1.364547e-01, 5.463232e-01, 1.000000e+00
798, 1.391286e-01, 9.214373e-01, 1.000000e+00
799, 1.382277e-01, 7.944220e-01, 1.000000e+00
800, 1.356411e-01, 6.701214e-01, 1.000000e+00
801, 2.705965e-01, 8.073912e-01, 3.094488e-01
802, 1.072154e-01, 6.440102e-01, 1.460678e-01
803, 2.161362e-01, 6.440102e-01, 1.460678e-01
804, 1.072154e-01, 7.529309e-01, 1.460678e-01
805, 1.072154e-01, 8.618516e-01, 1.460678e-01
806, 1.072154e-01, 5.350895e-01, 1.460678e-01
807, 2.161362e-01, 8.618516e-01, 3.639092e-01
808, 3.250569e-01, 8.618516e-01, 3.639092e-01
809, 3.250569e-01, 7.529309e-01, 3.639092e-01
810, 3.250569e-01, 8.618516e-01, 2.549885e-01
811, 4.339775e-01, 8.618516e-01, 1.460678e-01
812, 2.161362e-01, 8.618516e-01, 2.549885e-01
813, 4.339775e-01, 8.618516e-01, 2.549885e-01
814, 3.250569e-01, 7.529309e-01, 2.549885e-01
815, 3.250569e-01, 8.618516e-01, 1.460678e-01
816, 2.161362e-01, 7.529309e-01, 3.639092e-01
817, 4.339775e-01, 7.529309e-01, 2.549885e-01
818, 4.339775e-01, 7.529309e-01, 1.460678e-01
819, 2.161362e-01, 7.529309e-01, 1.460678e-01
820, 2.161362e-01, 5.350895e-01, 2.549885e-01
821, 2.161362e-01, 6.440102e-01, 3.639092e-01
822, 3.250569e-01, 6.440102e-01, 3.639092e-01
823, 2.161362e-01, 6.440102e-01, 2.549885e-01
824, 3.828751e-01, 5.965468e-01, 2.206115e-01
825, 1.072154e-01, 5.350895e-01, 2.549885e-01
826, 1.321620e-01, 3.119628e-01, 4.946992e-01
827, 1.321620e-01, 1.320891e-01, 5.846360e-01
828, 1.321620e-01, 1.320891e-01, 4.946992e-01
829, 9.420615e-01, 5.205292e-01, 8.518906e-01
830, 1.106334e-01, 1.199487e-01, 8.407761e-01
831, 1.106334e-01, 1.199487e-01, 9.224467e-01
832, 5.682576e-01, 1.307034e-01, 5.400789e-01
833, 8.882494e-01, 8.809592e-01, 1.940076e-01
834, 8.030806e-01, 8.809592e-01, 1.940076e-01
835, 8.030806e-01, 7.957904e-01, 1.088388e-01
836, 8.882494e-01, 7.957904e-01, 1.088388e-01
837, 8.030806e-01, 8.809592e-01, 1.088388e-01
838, 7.179118e-01, 8.809592e-01, 1.088388e-01
839, 8.882494e-01, 7.106216e-01, 1.088388e-01
840, 8.882494e-01, 8.809592e-01, 2.791764e-01
841, 5.049063e-01, 8.666278e-01, 8.012413e-01
842, 6.003286e-01, 8.666278e-01, 8.012413e-01
843, 4.094839e-01, 5.803607e-01, 8.966637e-01
844, 6.003286e-01, 8.666278e-01, 8.966637e-01
845, 4.094839e-01, 7.712054e-01, 8.966637e-01
846, 4.094839e-01, 8.666278e-01, 8.966637e-01
847, 6.003286e-01, 7.712054e-01, 8.966637e-01
848, 5.049063e-01, 7.712054e-01, 8.966637e-01
849, 8.415490e-01, 1.138090e-01, 5.210622e-01
850, 9.190392e-01, 2.687895e-01, 5.210622e-01
851, 1.073007e-01, 8.423859e-02, 1.250281e-01
852, 2.163081e-01, 8.423859e-02, 1.250281e-01
853, 2.163081e-01, 8.423859e-02, 2.340354e-01
854, 1.073007e-01, 1.932459e-01, 1.250281e-01
855, 1.073007e-01, 3.022533e-01, 1.250281e-01
856, 4.343228e-01, 8.423859e-02, 1.250281e-01
857, 4.343228e-01, 8.423859e-02, 2.340354e-01
858, 3.253154e-01, 8.423859e-02, 2.340354e-01
859, 2.163081e-01, 3.022533e-01, 1.250281e-01
860, 3.253154e-01, 1.932459e-01, 1.250281e-01
861, 2.163081e-01, 1.932459e-01, 1.250281e-01
862, 2.163081e-01, 1.932459e-01, 2.340354e-01
863, 3.253154e-01, 3.022533e-01, 1.250281e-01
864, 3.253154e-01, 1.932459e-01, 2.340354e-01
865, 2.163081e-01, 3.022533e-01, 2.340354e-01
866, 8.867307e-01, 3.127577e-01, 1.267631e-01
867, 8.867307e-01, 1.324257e-01, 2.169291e-01
868, 7.965648e-01, 1.324257e-01, 2.169291e-01
869, 7.063988e-01, 1.324257e-01, 1.267631e-01
870, 7.063988e-01, 1.324257e-01, 2.169291e-01
871, 7.063988e-01, 2.225917e-01, 2.169291e-01
872, 7.965648e-01, 1.324257e-01, 3.070951e-01
873, 8.867307e-01, 1.324257e-01, 1.267631e-01
874, 7.965648e-01, 1.324257e-01, 1.267631e-01
875, 7.063988e-01, 2.225917e-01, 1.267631e-01
876, 8.867307e-01, 2.225917e-01, 1.267631e-01
877, 7.965648e-01, 3.127577e-01, 1.267631e-01
878, 7.965648e-01, 2.225917e-01, 1.267631e-01
879, 7.965648e-01, 3.127577e-01, 3.070951e-01
880, 7.965648e-01, 2.225917e-01, 3.070951e-01
881, 8.867307e-01, 3.127577e-01, 3.070951e-01
882, 4.459264e-01, 3.563909e-01, 9.157230e-01
883, 1.443447e-01, 7.796935e-01, 8.660116e-01
*Element, type=C3D4
2607, 3, 158, 375, 406
2608, 422, 404, 365, 16
2609, 368, 805, 804, 150
2610, 807, 812, 370, 381
2611, 427, 426, 396, 167
2612, 813, 810, 815, 814
2613, 372, 366, 153, 806
2614, 180, 416, 825, 820
2615, 816, 821, 401, 402
2616, 810, 812, 374, 815
2617, 393, 368, 804, 150
2618, 806, 394, 802, 386
2619, 390, 388, 407, 818
2620, 821, 422, 820, 423
2621, 390, 175, 407, 22
2622, 383, 427, 160, 379
2623, 388, 407, 408, 172
2624, 806, 802, 803, 386
2625, 824, 817, 6, 409
2626, 808, 810, 376, 375
2627, 818, 23, 408, 424
2628, 805, 812, 819, 815
2629, 426, 389, 396, 167
2630, 175, 818, 407, 408
2631, 426, 168, 389, 167
2632, 169, 390, 407, 22
2633, 816, 801, 819, 812
2634, 384, 374, 162, 815
2635, 821, 816, 823, 367
2636, 389, 426, 818, 390
2637, 823, 824, 820, 803
2638, 367, 816, 400, 403
2639, 388, 12, 172, 164
2640, 811, 384, 391, 815
2641, 816, 823, 804, 819
2642, 404, 821, 367, 403
2643, 422, 181, 820, 423
2644, 377, 808, 376, 375
2645, 367, 812, 804, 364
2646, 415, 817, 9, 178
2647, 806, 419, 803, 820
2648, 427, 383, 396, 811
2649, 170, 406, 413, 808
2650, 805, 393, 804, 150
2651, 385, 818, 815, 397
2652, 422, 821, 820, 825
2653, 415, 179, 14, 822
2654, 818, 388, 408, 172
2655, 179, 822, 178, 8
2656, 427, 383, 160, 21
2657, 801, 823, 819, 814
2658, 13, 415, 14, 822
2659, 4, 378, 413, 375
2660, 417, 416, 418, 820
2661, 393, 399, 368, 151
2662, 411, 174, 178, 817
2663, 817, 23, 408, 818
2664, 179, 415, 178, 822
2665, 373, 805, 812, 381
2666, 372, 394, 369, 806
2667, 812, 801, 819, 814
2668, 818, 811, 813, 424
2669, 817, 412, 813, 809
2670, 810, 801, 809, 808
2671, 19, 181, 423, 418
2672, 400, 367, 370, 807
2673, 812, 367, 370, 364
2674, 367, 812, 370, 807
2675, 385, 818, 803, 392
2676, 822, 18, 17, 423
2677, 174, 23, 817, 411
2678, 417, 388, 824, 172
2679, 391, 397, 815, 387
2680, 148, 373, 381, 364
2681, 821, 822, 824, 809
2682, 812, 805, 374, 815
2683, 805, 163, 395, 373
2684, 813, 811, 815, 380
2685, 379, 378, 380, 813
2686, 388, 164, 172, 417
2687, 24, 817, 813, 424
2688, 812, 364, 370, 381
2689, 816, 821, 809, 401
2690, 378, 176, 413, 813
2691, 13, 18, 17, 822
2692, 812, 805, 364, 381
2693, 421, 153, 420, 806
2694, 9, 7, 412, 809
2695, 364, 148, 370, 381
2696, 379, 20, 425, 160
2697, 148, 382, 370, 381
2698, 388, 818, 408, 407
2699, 404, 422, 171, 16
2700, 379, 813, 425, 177
2701, 418, 822, 414, 824
2702, 399, 368, 369, 802
2703, 417, 418, 11, 824
2704, 389, 811, 391, 818
2705, 417, 824, 392, 803
2706, 805, 812, 804, 819
2707, 170, 7, 809, 412
2708, 23, 24, 817, 411
2709, 421, 372, 153, 806
2710, 397, 819, 815, 387
2711, 373, 148, 149, 364
2712, 366, 806, 369, 363
2713, 818, 385, 815, 391
2714, 817, 822, 809, 824
2715, 176, 410, 5, 813
2716, 812, 819, 815, 814
2717, 816, 367, 804, 823
2718, 363, 368, 364, 804
2719, 810, 812, 815, 814
2720, 363, 367, 804, 364
2721, 806, 394, 419, 166
2722, 372, 421, 394, 806
2723, 367, 816, 804, 812
2724, 366, 806, 825, 420
2725, 818, 811, 815, 813
2726, 817, 813, 815, 814
2727, 384, 374, 815, 380
2728, 421, 806, 419, 166
2729, 807, 401, 809, 808
2730, 807, 377, 808, 376
2731, 382, 157, 807, 381
2732, 384, 396, 391, 161
2733, 383, 384, 161, 396
2734, 801, 807, 809, 808
2735, 823, 802, 804, 803
2736, 157, 377, 807, 381
2737, 818, 817, 815, 814
2738, 816, 401, 403, 402
2739, 157, 377, 158, 405
2740, 813, 378, 375, 413
2741, 7, 415, 809, 9
2742, 423, 821, 171, 402
2743, 817, 818, 824, 814
2744, 816, 405, 403, 401
2745, 812, 373, 381, 374
2746, 404, 821, 403, 402
2747, 821, 816, 403, 402
2748, 817, 9, 5, 412
2749, 817, 411, 9, 178
2750, 805, 163, 374, 387
2751, 405, 816, 403, 400
2752, 383, 811, 379, 384
2753, 805, 393, 819, 804
2754, 426, 811, 396, 389
2755, 817, 818, 813, 424
2756, 169, 388, 407, 390
2757, 168, 426, 389, 390
2758, 163, 805, 395, 387
2759, 374, 163, 162, 387
2760, 817, 824, 809, 814
2761, 813, 817, 809, 814
2762, 811, 389, 391, 396
2763, 823, 802, 820, 825
2764, 372, 394, 166, 10
2765, 823, 363, 825, 365
2766, 421, 372, 166, 10
2767, 15, 180, 420, 825
2768, 822, 423, 820, 418
2769, 372, 421, 166, 394
2770, 811, 426, 424, 818
2771, 371, 805, 368, 150
2772, 822, 415, 178, 817
2773, 410, 378, 176, 159
2774, 410, 24, 813, 177
2775, 390, 389, 385, 818
2776, 806, 394, 369, 802
2777, 426, 175, 818, 390
2778, 806, 419, 398, 803
2779, 821, 367, 823, 363
2780, 816, 801, 812, 807
2781, 154, 366, 365, 825
2782, 404, 155, 365, 16
2783, 153, 366, 15, 420
2784, 7, 170, 809, 401
2785, 18, 13, 14, 822
2786, 391, 384, 162, 815
2787, 394, 399, 369, 802
2788, 416, 180, 181, 820
2789, 366, 372, 369, 806
2790, 152, 399, 369, 394
2791, 410, 378, 159, 379
2792, 410, 159, 20, 379
2793, 383, 811, 384, 396
2794, 812, 374, 381, 376
2795, 406, 3, 413, 375
2796, 388, 12, 169, 407
2797, 426, 168, 175, 390
2798, 24, 410, 813, 5
2799, 813, 413, 375, 808
2800, 811, 426, 818, 389
2801, 817, 174, 6, 409
2802, 812, 807, 808, 376
2803, 811, 379, 380, 813
2804, 811, 384, 380, 379
2805, 386, 806, 398, 803
2806, 378, 410, 813, 379
2807, 801, 810, 809, 814
2808, 363, 368, 802, 369
2809, 822, 18, 414, 14
2810, 810, 374, 376, 380
2811, 404, 367, 155, 403
2812, 382, 2, 370, 400
2813, 824, 6, 173, 409
2814, 367, 823, 363, 804
2815, 816, 801, 814, 823
2816, 824, 11, 409, 173
2817, 412, 176, 813, 413
2818, 377, 405, 808, 406
2819, 806, 363, 802, 369
2820, 817, 9, 412, 809
2821, 3, 4, 413, 375
2822, 810, 380, 376, 375
2823, 388, 390, 385, 818
2824, 812, 801, 808, 807
2825, 423, 181, 820, 418
2826, 372, 152, 369, 394
2827, 813, 24, 424, 425
2828, 811, 427, 379, 425
2829, 427, 379, 425, 160
2830, 24, 813, 177, 425
2831, 394, 806, 398, 386
2832, 393, 368, 150, 151
2833, 157, 382, 400, 2
2834, 821, 404, 171, 402
2835, 412, 813, 808, 413
2836, 810, 812, 376, 374
2837, 175, 426, 818, 424
2838, 179, 822, 173, 414
2839, 170, 412, 808, 413
2840, 383, 427, 396, 21
2841, 384, 811, 391, 396
2842, 801, 816, 814, 809
2843, 801, 816, 809, 807
2844, 371, 805, 395, 373
2845, 396, 427, 167, 21
2846, 386, 819, 804, 803
2847, 819, 393, 386, 804
2848, 367, 400, 155, 403
2849, 417, 165, 398, 392
2850, 821, 822, 809, 401
2851, 813, 810, 808, 375
2852, 810, 813, 809, 814
2853, 393, 399, 386, 802
2854, 388, 818, 385, 392
2855, 165, 417, 398, 419
2856, 399, 394, 386, 802
2857, 803, 417, 398, 392
2858, 404, 821, 825, 365
2859, 821, 367, 363, 365
2860, 419, 417, 398, 803
2861, 23, 175, 408, 424
2862, 823, 824, 814, 809
2863, 20, 379, 425, 177
2864, 180, 422, 825, 154
2865, 23, 817, 424, 818
2866, 823, 821, 824, 809
2867, 818, 824, 803, 392
2868, 816, 823, 814, 809
2869, 373, 371, 1, 395
2870, 421, 394, 806, 166
2871, 816, 821, 823, 809
2872, 163, 373, 1, 395
2873, 806, 416, 419, 820
2874, 802, 806, 820, 825
2875, 806, 802, 820, 803
2876, 811, 384, 815, 380
2877, 810, 812, 808, 376
2878, 23, 24, 424, 817
2879, 159, 378, 176, 4
2880, 422, 180, 825, 820
2881, 180, 422, 181, 820
2882, 822, 19, 418, 414
2883, 418, 824, 414, 11
2884, 400, 367, 156, 370
2885, 400, 2, 370, 156
2886, 382, 400, 370, 807
2887, 368, 363, 802, 804
2888, 176, 378, 413, 4
2889, 400, 367, 155, 156
2890, 824, 822, 414, 173
2891, 2, 382, 370, 148
2892, 817, 818, 815, 813
2893, 426, 811, 424, 425
2894, 821, 823, 824, 820
2895, 377, 158, 405, 406
2896, 374, 162, 815, 387
2897, 406, 170, 401, 808
2898, 406, 413, 808, 375
2899, 172, 824, 409, 408
2900, 822, 821, 402, 401
2901, 817, 174, 178, 6
2902, 172, 417, 11, 409
2903, 422, 821, 171, 423
2904, 404, 821, 171, 422
2905, 417, 824, 11, 409
2906, 824, 417, 172, 409
2907, 810, 813, 380, 375
2908, 374, 805, 387, 815
2909, 810, 801, 812, 814
2910, 805, 163, 373, 374
2911, 396, 383, 21, 161
2912, 813, 412, 808, 809
2913, 393, 819, 386, 397
2914, 805, 373, 812, 374
2915, 397, 386, 392, 803
2916, 818, 819, 815, 397
2917, 417, 388, 392, 824
2918, 374, 810, 815, 380
2919, 166, 394, 419, 398
2920, 388, 164, 417, 392
2921, 823, 363, 804, 802
2922, 371, 373, 1, 149
2923, 805, 819, 387, 815
2924, 422, 154, 365, 825
2925, 816, 401, 809, 807
2926, 806, 416, 825, 420
2927, 819, 818, 815, 814
2928, 373, 805, 381, 364
2929, 388, 818, 824, 172
2930, 806, 416, 420, 419
2931, 805, 393, 387, 819
2932, 175, 168, 22, 390
2933, 179, 822, 414, 14
2934, 822, 19, 423, 418
2935, 388, 12, 407, 172
2936, 174, 23, 408, 817
2937, 406, 377, 375, 808
2938, 382, 807, 370, 381
2939, 405, 816, 807, 401
2940, 802, 386, 804, 803
2941, 824, 818, 408, 172
2942, 813, 810, 809, 808
2943, 817, 818, 408, 824
2944, 824, 11, 173, 414
2945, 377, 157, 807, 405
2946, 405, 816, 400, 807
2947, 821, 823, 820, 825
2948, 823, 821, 363, 365
2949, 366, 15, 420, 825
2950, 404, 422, 365, 825
2951, 821, 404, 825, 422
2952, 418, 19, 11, 414
2953, 410, 378, 813, 176
2954, 3, 170, 406, 413
2955, 18, 822, 414, 19
2956, 405, 406, 401, 808
2957, 379, 410, 813, 177
2958, 427, 383, 811, 379
2959, 819, 386, 397, 803
2960, 162, 391, 815, 387
2961, 415, 817, 809, 9
2962, 417, 164, 165, 392
2963, 806, 394, 398, 419
2964, 153, 366, 420, 806
2965, 372, 152, 394, 10
2966, 372, 421, 153, 10
2967, 412, 817, 813, 5
2968, 176, 412, 813, 5
2969, 812, 805, 804, 364
2970, 817, 411, 5, 9
2971, 368, 805, 364, 804
2972, 181, 416, 820, 418
2973, 818, 388, 824, 392
2974, 811, 813, 424, 425
2975, 426, 427, 811, 425
2976, 158, 377, 375, 406
2977, 385, 397, 392, 803
2978, 386, 803, 398, 392
2979, 399, 152, 369, 151
2980, 379, 811, 425, 813
2981, 819, 823, 804, 803
2982, 822, 821, 820, 423
2983, 165, 166, 419, 398
2984, 175, 818, 408, 424
2985, 175, 390, 407, 818
2986, 405, 401, 807, 808
2987, 405, 377, 808, 807
2988, 822, 821, 824, 820
2989, 411, 24, 817, 5
2990, 817, 24, 813, 5
2991, 421, 806, 420, 419
2992, 410, 20, 177, 379
2993, 810, 813, 815, 380
2994, 415, 822, 809, 817
2995, 823, 819, 814, 803
2996, 810, 801, 808, 812
2997, 806, 416, 820, 825
2998, 822, 18, 423, 19
2999, 13, 822, 402, 401
3000, 821, 816, 367, 403
3001, 13, 822, 17, 402
3002, 423, 171, 17, 402
3003, 816, 367, 807, 812
3004, 367, 816, 807, 400
3005, 824, 823, 814, 803
3006, 371, 805, 364, 368
3007, 157, 405, 400, 807
3008, 382, 157, 400, 807
3009, 818, 819, 803, 814
3010, 419, 417, 803, 820
3011, 824, 818, 803, 814
3012, 802, 823, 820, 803
3013, 170, 401, 808, 809
3014, 412, 170, 808, 809
3015, 813, 378, 380, 375
3016, 154, 180, 15, 825
3017, 366, 154, 15, 825
3018, 393, 802, 386, 804
3019, 418, 822, 824, 820
3020, 416, 180, 825, 420
3021, 812, 816, 804, 819
3022, 368, 399, 369, 151
3023, 404, 367, 365, 155
3024, 393, 805, 387, 395
3025, 371, 805, 150, 395
3026, 395, 371, 1, 150
3027, 805, 393, 150, 395
3028, 366, 363, 365, 825
3029, 818, 811, 391, 815
3030, 426, 427, 396, 811
3031, 363, 823, 825, 802
3032, 821, 823, 825, 365
3033, 822, 179, 173, 8
3034, 806, 363, 825, 802
3035, 817, 174, 409, 408
3036, 806, 366, 825, 363
3037, 824, 417, 820, 803
3038, 821, 404, 367, 365
3039, 417, 418, 824, 820
3040, 416, 417, 419, 820
3041, 391, 385, 815, 397
3042, 824, 817, 409, 408
3043, 393, 819, 397, 387
3044, 154, 422, 365, 16
3045, 384, 391, 162, 161
3046, 389, 818, 391, 385
3047, 801, 816, 819, 823
3048, 423, 402, 822, 821
3049, 822, 402, 423, 17
3050, 415, 809, 401, 7
3051, 401, 809, 415, 822
3052, 401, 13, 415, 7
3053, 415, 13, 401, 822
3054, 173, 8, 824, 822
3055, 173, 824, 8, 6
3056, 376, 807, 381, 812
3057, 376, 381, 807, 377
3058, 6, 178, 824, 8
3059, 6, 824, 178, 817
3060, 822, 824, 178, 8
3061, 822, 178, 824, 817
3062, 397, 818, 803, 385
3063, 397, 803, 818, 819
3064, 371, 373, 364, 805
3065, 364, 373, 371, 149
3066, 393, 802, 368, 399
3067, 368, 802, 393, 804
3068, 442, 827, 438, 441
3069, 440, 827, 438, 828
3070, 826, 171, 422, 437
3071, 447, 826, 444, 451
3072, 436, 827, 429, 434
3073, 435, 450, 188, 433
3074, 826, 431, 422, 452
3075, 28, 193, 447, 198
3076, 186, 432, 445, 33
3077, 422, 180, 181, 452
3078, 439, 193, 30, 448
3079, 453, 454, 448, 828
3080, 826, 422, 181, 452
3081, 439, 443, 448, 828
3082, 31, 439, 30, 448
3083, 447, 197, 26, 29
3084, 193, 31, 30, 448
3085, 192, 32, 456, 441
3086, 25, 37, 18, 423
3087, 444, 447, 448, 828
3088, 826, 171, 423, 422
3089, 431, 826, 428, 433
3090, 187, 433, 188, 449
3091, 436, 827, 440, 429
3092, 183, 436, 440, 429
3093, 182, 435, 429, 440
3094, 184, 827, 455, 456
3095, 171, 16, 422, 437
3096, 447, 453, 448, 828
3097, 826, 446, 195, 34
3098, 447, 193, 444, 448
3099, 442, 439, 443, 191
3100, 442, 35, 443, 194
3101, 826, 446, 445, 195
3102, 455, 184, 185, 434
3103, 430, 36, 445, 196
3104, 32, 436, 456, 441
3105, 827, 436, 440, 441
3106, 443, 194, 444, 827
3107, 435, 450, 433, 828
3108, 193, 439, 443, 448
3109, 446, 171, 196, 37
3110, 431, 826, 437, 430
3111, 826, 431, 428, 430
3112, 433, 450, 188, 449
3113, 442, 192, 456, 441
3114, 197, 447, 26, 451
3115, 827, 442, 456, 441
3116, 180, 431, 422, 154
3117, 450, 435, 27, 189
3118, 429, 827, 828, 434
3119, 35, 442, 443, 191
3120, 435, 450, 27, 188
3121, 19, 197, 18, 423
3122, 448, 454, 438, 828
3123, 186, 432, 430, 445
3124, 827, 194, 455, 456
3125, 443, 439, 827, 828
3126, 446, 826, 445, 196
3127, 32, 183, 436, 441
3128, 447, 29, 26, 444
3129, 439, 190, 438, 448
3130, 436, 827, 434, 184
3131, 197, 19, 451, 423
3132, 432, 826, 455, 434
3133, 431, 180, 452, 15
3134, 451, 826, 181, 452
3135, 431, 187, 452, 449
3136, 428, 826, 432, 434
3137, 190, 454, 438, 448
3138, 826, 453, 828, 449
3139, 826, 453, 449, 451
3140, 186, 36, 445, 430
3141, 826, 430, 445, 196
3142, 193, 447, 444, 29
3143, 432, 826, 445, 195
3144, 182, 183, 440, 429
3145, 440, 828, 438, 189
3146, 439, 448, 438, 828
3147, 826, 451, 449, 452
3148, 826, 453, 451, 447
3149, 431, 826, 433, 449
3150, 453, 450, 828, 449
3151, 453, 450, 454, 828
3152, 25, 446, 37, 423
3153, 37, 17, 18, 423
3154, 435, 182, 27, 189
3155, 187, 431, 433, 449
3156, 827, 194, 34, 455
3157, 446, 826, 444, 34
3158, 25, 446, 444, 34
3159, 16, 422, 437, 154
3160, 436, 183, 440, 441
3161, 826, 422, 423, 181
3162, 443, 444, 448, 828
3163, 450, 435, 189, 440
3164, 194, 442, 827, 443
3165, 454, 190, 438, 189
3166, 827, 436, 456, 184
3167, 435, 182, 189, 440
3168, 826, 827, 34, 455
3169, 827, 826, 34, 444
3170, 35, 442, 192, 456
3171, 436, 32, 456, 184
3172, 432, 455, 185, 434
3173, 826, 428, 433, 828
3174, 826, 25, 444, 26
3175, 17, 171, 423, 37
3176, 826, 451, 181, 423
3177, 187, 431, 452, 15
3178, 194, 442, 456, 827
3179, 431, 180, 15, 154
3180, 826, 432, 455, 195
3181, 193, 439, 30, 443
3182, 826, 451, 423, 26
3183, 25, 26, 423, 18
3184, 436, 827, 456, 441
3185, 439, 442, 827, 438
3186, 28, 197, 447, 29
3187, 826, 827, 828, 444
3188, 443, 827, 444, 828
3189, 450, 454, 828, 189
3190, 826, 827, 455, 434
3191, 195, 826, 34, 455
3192, 439, 442, 443, 827
3193, 450, 433, 828, 449
3194, 451, 447, 26, 444
3195, 826, 446, 25, 423
3196, 193, 28, 447, 29
3197, 432, 826, 430, 445
3198, 433, 826, 828, 449
3199, 431, 826, 422, 437
3200, 451, 19, 181, 423
3201, 826, 446, 171, 196
3202, 36, 16, 196, 437
3203, 826, 431, 452, 449
3204, 827, 440, 438, 441
3205, 16, 171, 196, 437
3206, 440, 450, 828, 189
3207, 439, 827, 828, 438
3208, 428, 429, 828, 434
3209, 826, 428, 432, 430
3210, 446, 826, 25, 444
3211, 193, 443, 444, 448
3212, 184, 827, 434, 455
3213, 194, 827, 34, 444
3214, 827, 826, 828, 434
3215, 826, 428, 828, 434
3216, 31, 190, 439, 448
3217, 193, 198, 448, 447
3218, 31, 193, 198, 448
3219, 429, 435, 433, 828
3220, 25, 826, 423, 26
3221, 431, 180, 422, 452
3222, 35, 442, 456, 194
3223, 195, 432, 455, 185
3224, 33, 432, 195, 185
3225, 428, 429, 433, 828
3226, 827, 429, 828, 440
3227, 451, 826, 444, 26
3228, 828, 454, 438, 189
3229, 33, 432, 445, 195
3230, 439, 443, 191, 30
3231, 429, 435, 828, 440
3232, 437, 36, 430, 196
3233, 435, 450, 828, 440
3234, 422, 431, 437, 154
3235, 423, 446, 171, 826
3236, 423, 171, 446, 37
3237, 447, 828, 826, 453
3238, 826, 828, 447, 444
3239, 437, 196, 826, 171
3240, 826, 196, 437, 430
3241, 423, 197, 26, 451
3242, 423, 26, 197, 18
3243, 47, 43, 48, 474
3244, 462, 475, 473, 210
3245, 464, 43, 44, 472
3246, 473, 475, 472, 51
3247, 475, 462, 204, 50
3248, 475, 474, 472, 51
3249, 460, 199, 829, 465
3250, 475, 462, 458, 461
3251, 829, 39, 206, 466
3252, 203, 460, 465, 38
3253, 475, 473, 210, 51
3254, 469, 457, 463, 829
3255, 467, 464, 40, 206
3256, 829, 469, 457, 459
3257, 469, 201, 457, 459
3258, 205, 45, 209, 458
3259, 460, 203, 468, 461
3260, 469, 458, 829, 470
3261, 473, 475, 458, 470
3262, 465, 199, 829, 466
3263, 49, 203, 461, 468
3264, 471, 45, 202, 458
3265, 203, 460, 468, 465
3266, 469, 201, 459, 42
3267, 462, 205, 50, 473
3268, 464, 474, 472, 470
3269, 829, 460, 468, 461
3270, 462, 475, 210, 50
3271, 45, 471, 209, 458
3272, 41, 39, 463, 457
3273, 207, 469, 463, 470
3274, 473, 205, 209, 458
3275, 473, 46, 472, 470
3276, 462, 475, 458, 473
3277, 829, 464, 463, 470
3278, 464, 467, 829, 466
3279, 460, 199, 465, 38
3280, 472, 46, 44, 470
3281, 464, 43, 472, 474
3282, 201, 459, 200, 457
3283, 460, 829, 200, 459
3284, 199, 39, 829, 466
3285, 471, 458, 469, 470
3286, 43, 47, 472, 474
3287, 467, 464, 206, 466
3288, 202, 469, 459, 42
3289, 469, 463, 457, 41
3290, 471, 469, 459, 202
3291, 467, 208, 48, 474
3292, 469, 207, 463, 41
3293, 465, 460, 468, 829
3294, 458, 471, 459, 202
3295, 471, 458, 459, 469
3296, 467, 465, 829, 466
3297, 829, 206, 464, 466
3298, 48, 43, 40, 474
3299, 473, 475, 470, 472
3300, 458, 829, 470, 461
3301, 199, 39, 457, 829
3302, 46, 473, 209, 470
3303, 462, 205, 473, 458
3304, 463, 44, 207, 470
3305, 467, 829, 468, 461
3306, 467, 465, 468, 829
3307, 472, 464, 470, 44
3308, 464, 467, 474, 470
3309, 469, 829, 463, 470
3310, 469, 201, 41, 457
3311, 464, 467, 470, 829
3312, 829, 199, 200, 457
3313, 458, 475, 461, 470
3314, 474, 47, 472, 51
3315, 463, 44, 470, 464
3316, 460, 199, 200, 829
3317, 458, 460, 829, 461
3318, 39, 829, 463, 457
3319, 475, 462, 461, 204
3320, 39, 829, 206, 463
3321, 829, 464, 206, 463
3322, 201, 459, 42, 200
3323, 462, 473, 50, 210
3324, 467, 48, 40, 474
3325, 464, 467, 40, 474
3326, 474, 475, 472, 470
3327, 459, 829, 200, 457
3328, 829, 467, 470, 461
3329, 46, 473, 472, 51
3330, 460, 199, 38, 200
3331, 43, 464, 40, 474
3332, 458, 209, 470, 471
3333, 458, 470, 209, 473
3334, 459, 829, 458, 460
3335, 459, 458, 829, 469
3336, 467, 468, 475, 461
3337, 467, 470, 475, 474
3338, 475, 470, 467, 461
3339, 49, 468, 204, 208
3340, 49, 204, 468, 461
3341, 475, 204, 468, 208
3342, 475, 468, 204, 461
3343, 475, 467, 208, 468
3344, 208, 467, 475, 474
3345, 479, 53, 412, 477
3346, 413, 216, 483, 482
3347, 476, 477, 52, 480
3348, 58, 479, 214, 483
3349, 476, 211, 56, 482
3350, 479, 480, 483, 215
3351, 412, 170, 478, 483
3352, 412, 477, 176, 413
3353, 482, 476, 481, 483
3354, 412, 7, 57, 170
3355, 412, 53, 5, 477
3356, 476, 480, 481, 483
3357, 412, 9, 5, 478
3358, 479, 53, 478, 412
3359, 53, 412, 5, 478
3360, 7, 412, 57, 478
3361, 170, 412, 413, 483
3362, 413, 216, 170, 483
3363, 479, 58, 478, 54
3364, 477, 479, 213, 480
3365, 479, 477, 483, 480
3366, 477, 412, 176, 5
3367, 9, 53, 5, 478
3368, 212, 476, 52, 480
3369, 9, 53, 478, 54
3370, 53, 479, 213, 477
3371, 212, 476, 480, 481
3372, 212, 215, 55, 481
3373, 58, 479, 478, 214
3374, 477, 476, 413, 483
3375, 476, 211, 482, 481
3376, 214, 483, 478, 57
3377, 482, 476, 3, 56
3378, 480, 215, 481, 483
3379, 476, 482, 3, 413
3380, 412, 479, 483, 478
3381, 477, 4, 176, 413
3382, 479, 214, 483, 478
3383, 412, 477, 413, 483
3384, 483, 170, 478, 57
3385, 4, 476, 3, 413
3386, 413, 216, 482, 3
3387, 476, 4, 52, 477
3388, 170, 483, 216, 57
3389, 56, 482, 216, 3
3390, 413, 216, 3, 170
3391, 55, 476, 481, 211
3392, 483, 413, 482, 476
3393, 170, 412, 478, 57
3394, 4, 476, 413, 477
3395, 412, 7, 9, 478
3396, 479, 58, 215, 483
3397, 477, 476, 483, 480
3398, 53, 479, 478, 54
3399, 212, 480, 215, 481
3400, 412, 479, 477, 483
3401, 55, 476, 212, 481
3402, 480, 477, 52, 213
3403, 60, 218, 217, 219
3404, 484, 53, 9, 54
3405, 8, 221, 178, 484
3406, 59, 486, 485, 219
3407, 411, 24, 64, 488
3408, 486, 218, 484, 485
3409, 62, 218, 485, 484
3410, 411, 64, 5, 53
3411, 487, 62, 485, 484
3412, 6, 221, 178, 8
3413, 487, 488, 485, 65
3414, 411, 484, 9, 178
3415, 174, 221, 487, 484
3416, 221, 174, 178, 484
3417, 221, 6, 178, 174
3418, 66, 486, 488, 65
3419, 484, 486, 54, 217
3420, 62, 63, 487, 485
3421, 411, 23, 24, 488
3422, 23, 411, 220, 488
3423, 218, 486, 484, 217
3424, 486, 218, 485, 219
3425, 64, 411, 488, 53
3426, 411, 174, 487, 484
3427, 486, 64, 488, 53
3428, 221, 62, 487, 484
3429, 411, 486, 488, 53
3430, 61, 487, 485, 65
3431, 487, 63, 61, 485
3432, 488, 487, 220, 65
3433, 221, 62, 484, 8
3434, 62, 221, 487, 63
3435, 411, 53, 5, 9
3436, 59, 61, 485, 65
3437, 484, 411, 9, 53
3438, 411, 174, 220, 487
3439, 218, 486, 217, 219
3440, 174, 411, 178, 484
3441, 486, 484, 54, 53
3442, 411, 24, 5, 64
3443, 411, 23, 220, 174
3444, 486, 66, 488, 64
3445, 486, 411, 484, 53
3446, 411, 487, 220, 488
3447, 486, 66, 59, 65
3448, 65, 486, 485, 59
3449, 65, 485, 486, 488
3450, 485, 488, 484, 486
3451, 485, 484, 488, 487
3452, 411, 484, 488, 486
3453, 411, 488, 484, 487
3454, 484, 8, 62, 489
3455, 218, 484, 62, 489
3456, 484, 478, 491, 54
3457, 179, 8, 178, 489
3458, 68, 218, 62, 489
3459, 72, 57, 492, 7
3460, 72, 69, 13, 489
3461, 415, 179, 178, 489
3462, 478, 54, 58, 491
3463, 74, 490, 492, 67
3464, 415, 72, 7, 13
3465, 490, 72, 71, 492
3466, 492, 222, 491, 73
3467, 217, 484, 491, 54
3468, 415, 14, 179, 489
3469, 478, 58, 214, 491
3470, 218, 70, 217, 222
3471, 57, 492, 478, 214
3472, 492, 484, 478, 491
3473, 72, 490, 71, 69
3474, 9, 415, 478, 7
3475, 218, 70, 222, 67
3476, 415, 9, 484, 178
3477, 74, 492, 222, 67
3478, 492, 478, 214, 491
3479, 492, 218, 222, 67
3480, 73, 492, 58, 491
3481, 484, 490, 492, 489
3482, 74, 490, 71, 492
3483, 69, 14, 13, 489
3484, 68, 490, 489, 69
3485, 415, 484, 492, 489
3486, 415, 72, 492, 7
3487, 415, 9, 478, 484
3488, 490, 72, 489, 69
3489, 492, 74, 222, 73
3490, 484, 9, 478, 54
3491, 14, 415, 13, 489
3492, 415, 72, 13, 489
3493, 415, 492, 478, 7
3494, 490, 218, 492, 67
3495, 484, 415, 178, 489
3496, 72, 415, 492, 489
3497, 8, 484, 178, 489
3498, 490, 72, 492, 489
3499, 70, 218, 217, 60
3500, 484, 218, 492, 490
3501, 58, 492, 214, 491
3502, 218, 68, 67, 490
3503, 492, 57, 478, 7
3504, 415, 484, 478, 492
3505, 489, 218, 490, 68
3506, 489, 490, 218, 484
3507, 222, 492, 484, 218
3508, 484, 492, 222, 491
3509, 484, 217, 222, 218
3510, 222, 217, 484, 491
3511, 513, 82, 503, 83
3512, 830, 514, 235, 506
3513, 502, 497, 223, 75
3514, 229, 504, 501, 831
3515, 513, 82, 509, 503
3516, 194, 499, 35, 512
3517, 236, 500, 512, 76
3518, 232, 513, 514, 506
3519, 234, 79, 80, 495
3520, 830, 499, 500, 501
3521, 34, 830, 235, 511
3522, 228, 77, 515, 231
3523, 232, 513, 503, 83
3524, 194, 499, 512, 830
3525, 502, 229, 501, 831
3526, 226, 510, 80, 495
3527, 502, 497, 830, 223
3528, 226, 493, 510, 495
3529, 456, 498, 32, 192
3530, 510, 234, 80, 495
3531, 77, 227, 228, 515
3532, 505, 830, 506, 831
3533, 194, 456, 35, 499
3534, 508, 504, 229, 831
3535, 515, 504, 236, 500
3536, 234, 510, 511, 507
3537, 830, 499, 512, 500
3538, 223, 497, 830, 494
3539, 228, 504, 500, 501
3540, 509, 234, 511, 507
3541, 82, 513, 509, 78
3542, 225, 505, 496, 507
3543, 195, 493, 511, 510
3544, 513, 78, 235, 511
3545, 502, 497, 508, 831
3546, 494, 830, 496, 831
3547, 494, 493, 496, 830
3548, 235, 830, 506, 511
3549, 498, 456, 499, 35
3550, 493, 455, 830, 494
3551, 195, 455, 493, 185
3552, 184, 455, 185, 494
3553, 830, 505, 506, 511
3554, 500, 515, 76, 236
3555, 504, 505, 506, 831
3556, 504, 228, 229, 501
3557, 33, 195, 493, 185
3558, 78, 34, 235, 511
3559, 830, 505, 496, 831
3560, 497, 508, 831, 224
3561, 495, 225, 496, 507
3562, 502, 508, 229, 831
3563, 505, 830, 496, 511
3564, 497, 502, 830, 831
3565, 455, 493, 185, 494
3566, 830, 504, 831, 501
3567, 456, 498, 494, 184
3568, 224, 505, 496, 225
3569, 497, 508, 224, 75
3570, 503, 509, 511, 507
3571, 228, 504, 515, 500
3572, 514, 504, 231, 506
3573, 830, 493, 496, 511
3574, 513, 232, 503, 506
3575, 513, 235, 506, 511
3576, 497, 224, 831, 496
3577, 503, 233, 234, 507
3578, 456, 455, 494, 830
3579, 497, 494, 831, 830
3580, 503, 513, 511, 509
3581, 194, 830, 512, 235
3582, 498, 456, 494, 830
3583, 504, 830, 236, 500
3584, 233, 79, 234, 507
3585, 456, 455, 184, 494
3586, 194, 455, 830, 34
3587, 223, 498, 32, 184
3588, 502, 830, 831, 501
3589, 79, 495, 507, 225
3590, 224, 505, 831, 496
3591, 503, 83, 81, 84
3592, 82, 83, 81, 503
3593, 510, 234, 495, 507
3594, 498, 223, 830, 494
3595, 498, 502, 830, 223
3596, 233, 503, 81, 84
3597, 504, 830, 500, 501
3598, 503, 233, 81, 509
3599, 494, 497, 831, 496
3600, 514, 232, 506, 231
3601, 508, 505, 831, 224
3602, 497, 502, 508, 75
3603, 227, 228, 515, 500
3604, 234, 79, 495, 507
3605, 82, 503, 81, 509
3606, 233, 503, 234, 509
3607, 514, 830, 235, 236
3608, 78, 513, 509, 511
3609, 195, 33, 493, 510
3610, 500, 230, 512, 76
3611, 456, 498, 499, 830
3612, 500, 499, 512, 230
3613, 508, 502, 229, 75
3614, 504, 228, 515, 231
3615, 235, 830, 512, 236
3616, 505, 503, 511, 507
3617, 194, 455, 456, 830
3618, 513, 514, 506, 235
3619, 233, 509, 234, 81
3620, 504, 514, 515, 236
3621, 514, 504, 830, 236
3622, 498, 456, 35, 192
3623, 830, 500, 512, 236
3624, 498, 223, 494, 184
3625, 498, 499, 830, 501
3626, 34, 455, 830, 511
3627, 195, 455, 34, 511
3628, 194, 34, 830, 235
3629, 504, 514, 231, 515
3630, 504, 508, 505, 831
3631, 503, 505, 511, 506
3632, 513, 503, 511, 506
3633, 194, 456, 499, 830
3634, 33, 226, 493, 510
3635, 502, 498, 830, 501
3636, 509, 503, 234, 507
3637, 498, 456, 32, 184
3638, 227, 515, 76, 500
3639, 35, 499, 230, 512
3640, 830, 506, 504, 514
3641, 504, 506, 830, 831
3642, 507, 496, 511, 505
3643, 507, 496, 493, 511
3644, 493, 496, 507, 495
3645, 493, 510, 507, 511
3646, 507, 510, 493, 495
3647, 511, 455, 493, 195
3648, 511, 493, 455, 830
3649, 522, 93, 92, 91
3650, 516, 63, 523, 221
3651, 525, 240, 69, 518
3652, 238, 516, 63, 523
3653, 527, 92, 11, 523
3654, 516, 520, 523, 517
3655, 173, 489, 179, 414
3656, 520, 245, 523, 517
3657, 524, 85, 240, 518
3658, 489, 173, 179, 8
3659, 237, 516, 517, 520
3660, 526, 87, 239, 517
3661, 237, 87, 526, 517
3662, 238, 245, 89, 517
3663, 243, 519, 518, 524
3664, 63, 516, 62, 221
3665, 489, 68, 69, 525
3666, 489, 14, 414, 518
3667, 19, 18, 197, 518
3668, 516, 238, 517, 523
3669, 489, 14, 179, 414
3670, 522, 244, 521, 527
3671, 414, 19, 197, 518
3672, 246, 526, 239, 517
3673, 527, 244, 521, 28
3674, 62, 489, 8, 221
3675, 520, 522, 245, 91
3676, 522, 244, 527, 93
3677, 522, 92, 245, 91
3678, 527, 525, 519, 523
3679, 173, 489, 414, 523
3680, 173, 489, 523, 221
3681, 173, 414, 11, 523
3682, 88, 526, 241, 520
3683, 489, 173, 8, 221
3684, 526, 237, 517, 520
3685, 526, 520, 517, 245
3686, 520, 527, 519, 523
3687, 242, 520, 519, 525
3688, 489, 414, 523, 525
3689, 68, 516, 525, 489
3690, 414, 527, 518, 197
3691, 522, 527, 519, 520
3692, 86, 243, 524, 519
3693, 520, 516, 523, 525
3694, 527, 414, 518, 525
3695, 414, 527, 11, 523
3696, 87, 237, 526, 520
3697, 521, 29, 197, 28
3698, 516, 489, 523, 525
3699, 489, 525, 69, 518
3700, 527, 521, 197, 28
3701, 18, 197, 518, 26
3702, 90, 246, 517, 245
3703, 18, 19, 414, 518
3704, 489, 414, 525, 518
3705, 238, 245, 517, 523
3706, 519, 525, 518, 524
3707, 414, 527, 523, 525
3708, 516, 68, 525, 237
3709, 526, 246, 245, 517
3710, 88, 237, 520, 242
3711, 522, 527, 92, 93
3712, 87, 88, 237, 520
3713, 246, 90, 517, 239
3714, 527, 525, 518, 519
3715, 243, 521, 518, 519
3716, 516, 68, 62, 489
3717, 18, 14, 518, 414
3718, 237, 516, 520, 525
3719, 242, 237, 520, 525
3720, 527, 521, 518, 197
3721, 88, 87, 526, 520
3722, 527, 19, 197, 414
3723, 521, 527, 518, 519
3724, 221, 173, 8, 6
3725, 520, 526, 241, 91
3726, 197, 521, 518, 26
3727, 14, 489, 69, 518
3728, 524, 525, 518, 240
3729, 521, 243, 518, 26
3730, 29, 521, 197, 26
3731, 19, 527, 11, 414
3732, 86, 242, 519, 524
3733, 242, 525, 519, 524
3734, 245, 90, 89, 517
3735, 243, 86, 524, 85
3736, 243, 521, 29, 26
3737, 527, 522, 519, 521
3738, 525, 520, 519, 523
3739, 526, 245, 91, 520
3740, 91, 245, 526, 246
3741, 243, 518, 85, 524
3742, 85, 518, 243, 26
3743, 516, 221, 489, 62
3744, 489, 221, 516, 523
3745, 520, 527, 245, 522
3746, 520, 245, 527, 523
3747, 92, 245, 527, 522
3748, 92, 527, 245, 523
3749, 832, 244, 522, 544
3750, 832, 532, 253, 530
3751, 539, 252, 519, 536
3752, 534, 256, 100, 528
3753, 832, 531, 535, 529
3754, 256, 832, 542, 540
3755, 832, 256, 522, 540
3756, 521, 193, 537, 29
3757, 198, 832, 28, 193
3758, 31, 193, 30, 535
3759, 531, 832, 535, 530
3760, 93, 832, 522, 544
3761, 537, 521, 29, 536
3762, 832, 534, 528, 256
3763, 522, 832, 519, 521
3764, 530, 832, 535, 538
3765, 542, 832, 98, 539
3766, 832, 521, 537, 536
3767, 543, 529, 101, 528
3768, 256, 534, 100, 541
3769, 832, 193, 538, 537
3770, 832, 539, 519, 536
3771, 521, 243, 536, 519
3772, 258, 832, 544, 529
3773, 521, 243, 29, 536
3774, 198, 544, 535, 250
3775, 96, 533, 248, 255
3776, 531, 832, 528, 529
3777, 533, 96, 541, 255
3778, 534, 832, 533, 541
3779, 258, 529, 250, 101
3780, 530, 832, 538, 253
3781, 832, 257, 253, 532
3782, 94, 832, 539, 98
3783, 256, 91, 522, 540
3784, 832, 256, 528, 543
3785, 534, 247, 100, 541
3786, 534, 832, 528, 531
3787, 95, 97, 532, 253
3788, 93, 832, 544, 258
3789, 93, 832, 258, 256
3790, 533, 257, 248, 255
3791, 540, 91, 522, 520
3792, 93, 832, 256, 522
3793, 258, 832, 529, 543
3794, 254, 542, 539, 540
3795, 540, 254, 88, 520
3796, 258, 544, 250, 529
3797, 832, 257, 532, 533
3798, 544, 529, 535, 250
3799, 198, 832, 193, 535
3800, 521, 832, 519, 536
3801, 258, 832, 543, 256
3802, 533, 257, 532, 248
3803, 242, 252, 519, 539
3804, 94, 832, 537, 539
3805, 532, 95, 253, 530
3806, 532, 832, 531, 530
3807, 254, 242, 88, 520
3808, 832, 543, 528, 529
3809, 254, 540, 539, 520
3810, 241, 540, 88, 520
3811, 538, 30, 535, 249
3812, 544, 832, 535, 529
3813, 95, 530, 538, 253
3814, 832, 193, 535, 538
3815, 258, 543, 529, 101
3816, 193, 198, 535, 31
3817, 533, 832, 531, 532
3818, 534, 832, 531, 533
3819, 832, 244, 521, 522
3820, 530, 538, 535, 249
3821, 832, 257, 533, 255
3822, 257, 97, 532, 248
3823, 243, 86, 536, 519
3824, 86, 252, 536, 519
3825, 832, 244, 544, 521
3826, 539, 832, 519, 520
3827, 832, 193, 537, 521
3828, 256, 93, 522, 91
3829, 242, 254, 539, 520
3830, 253, 832, 538, 537
3831, 544, 244, 522, 93
3832, 241, 91, 540, 520
3833, 543, 528, 101, 251
3834, 530, 95, 538, 249
3835, 97, 257, 532, 253
3836, 247, 96, 541, 533
3837, 540, 832, 520, 522
3838, 832, 544, 28, 521
3839, 542, 832, 539, 540
3840, 255, 832, 542, 541
3841, 534, 247, 541, 533
3842, 533, 832, 255, 541
3843, 544, 832, 28, 198
3844, 94, 832, 253, 537
3845, 540, 832, 539, 520
3846, 542, 539, 98, 99
3847, 832, 257, 255, 98
3848, 257, 832, 253, 98
3849, 94, 539, 537, 536
3850, 94, 252, 539, 536
3851, 544, 244, 28, 521
3852, 832, 544, 535, 198
3853, 832, 94, 253, 98
3854, 242, 539, 519, 520
3855, 254, 542, 99, 539
3856, 242, 252, 86, 519
3857, 542, 255, 99, 98
3858, 521, 193, 29, 28
3859, 251, 256, 543, 528
3860, 832, 255, 542, 98
3861, 251, 256, 528, 100
3862, 193, 538, 30, 535
3863, 31, 198, 535, 250
3864, 193, 832, 28, 521
3865, 539, 832, 537, 536
3866, 832, 522, 519, 520
3867, 832, 256, 542, 541
3868, 832, 534, 256, 541
3869, 556, 102, 557, 553
3870, 560, 559, 561, 546
3871, 70, 102, 556, 553
3872, 547, 261, 546, 564
3873, 547, 551, 545, 262
3874, 551, 562, 110, 263
3875, 491, 58, 73, 112
3876, 552, 558, 549, 550
3877, 558, 268, 111, 552
3878, 559, 558, 550, 549
3879, 264, 558, 111, 552
3880, 564, 66, 486, 64
3881, 267, 104, 557, 560
3882, 564, 559, 486, 546
3883, 559, 556, 553, 217
3884, 268, 58, 479, 559
3885, 259, 558, 105, 550
3886, 551, 562, 563, 564
3887, 547, 551, 563, 564
3888, 212, 552, 55, 215
3889, 547, 551, 262, 108
3890, 552, 111, 55, 215
3891, 261, 547, 563, 564
3892, 551, 563, 263, 108
3893, 102, 107, 557, 553
3894, 555, 559, 560, 546
3895, 102, 103, 556, 557
3896, 107, 559, 557, 553
3897, 104, 560, 106, 548
3898, 479, 53, 486, 54
3899, 268, 558, 559, 479
3900, 107, 560, 267, 557
3901, 564, 261, 546, 109
3902, 562, 265, 64, 554
3903, 559, 555, 486, 546
3904, 268, 58, 215, 479
3905, 549, 212, 52, 480
3906, 547, 551, 546, 545
3907, 555, 59, 556, 486
3908, 551, 547, 546, 564
3909, 479, 559, 486, 549
3910, 555, 564, 486, 546
3911, 558, 264, 105, 550
3912, 267, 104, 560, 106
3913, 545, 259, 561, 260
3914, 559, 558, 549, 479
3915, 548, 555, 109, 104
3916, 59, 219, 556, 486
3917, 556, 70, 217, 60
3918, 103, 555, 556, 557
3919, 222, 491, 73, 553
3920, 551, 564, 546, 550
3921, 559, 556, 217, 486
3922, 219, 556, 486, 217
3923, 551, 547, 563, 108
3924, 559, 555, 556, 486
3925, 549, 559, 486, 564
3926, 66, 555, 486, 59
3927, 266, 66, 486, 564
3928, 106, 548, 560, 260
3929, 555, 266, 486, 564
3930, 555, 266, 564, 546
3931, 562, 551, 549, 564
3932, 58, 491, 559, 112
3933, 213, 479, 549, 480
3934, 268, 479, 215, 552
3935, 555, 66, 486, 266
3936, 559, 491, 217, 553
3937, 546, 545, 561, 260
3938, 552, 212, 549, 480
3939, 564, 559, 546, 550
3940, 266, 564, 546, 109
3941, 549, 559, 564, 550
3942, 213, 549, 52, 480
3943, 479, 552, 549, 480
3944, 562, 551, 110, 549
3945, 548, 555, 560, 546
3946, 558, 479, 552, 549
3947, 262, 545, 105, 550
3948, 555, 103, 104, 557
3949, 559, 479, 486, 54
3950, 104, 560, 548, 555
3951, 559, 107, 557, 560
3952, 549, 110, 554, 52
3953, 219, 556, 217, 60
3954, 264, 558, 552, 550
3955, 559, 556, 555, 557
3956, 552, 268, 111, 215
3957, 551, 545, 550, 546
3958, 491, 222, 217, 553
3959, 547, 261, 563, 108
3960, 549, 562, 564, 554
3961, 104, 560, 555, 557
3962, 562, 551, 563, 263
3963, 559, 556, 557, 553
3964, 553, 491, 73, 112
3965, 559, 555, 560, 557
3966, 551, 549, 564, 550
3967, 107, 559, 553, 112
3968, 103, 555, 59, 556
3969, 212, 552, 215, 480
3970, 546, 545, 550, 561
3971, 213, 549, 554, 52
3972, 552, 479, 215, 480
3973, 262, 551, 545, 550
3974, 559, 546, 550, 561
3975, 545, 259, 105, 550
3976, 558, 559, 550, 561
3977, 559, 491, 553, 112
3978, 268, 558, 479, 552
3979, 268, 58, 559, 112
3980, 54, 559, 58, 491
3981, 54, 58, 559, 479
3982, 560, 546, 260, 548
3983, 260, 546, 560, 561
3984, 562, 554, 110, 265
3985, 110, 554, 562, 549
3986, 213, 53, 549, 479
3987, 213, 549, 53, 554
3988, 486, 549, 53, 479
3989, 546, 555, 109, 548
3990, 546, 109, 555, 266
3991, 217, 70, 553, 222
3992, 217, 553, 70, 556
3993, 217, 559, 54, 491
3994, 217, 54, 559, 486
3995, 554, 564, 64, 562
3996, 561, 550, 259, 545
3997, 561, 259, 550, 558
3998, 64, 53, 564, 554
3999, 64, 564, 53, 486
4000, 549, 564, 53, 554
4001, 549, 53, 564, 486
4002, 834, 840, 64, 488
4003, 833, 573, 568, 587
4004, 834, 424, 835, 488
4005, 266, 66, 564, 840
4006, 573, 113, 269, 568
4007, 276, 573, 584, 587
4008, 269, 576, 572, 270
4009, 833, 573, 587, 837
4010, 590, 65, 839, 592
4011, 177, 574, 425, 575
4012, 587, 584, 579, 837
4013, 266, 590, 840, 567
4014, 582, 168, 426, 581
4015, 577, 277, 838, 575
4016, 833, 836, 839, 835
4017, 839, 836, 585, 835
4018, 576, 573, 269, 568
4019, 582, 593, 175, 22
4020, 833, 573, 837, 576
4021, 425, 427, 160, 575
4022, 584, 277, 838, 577
4023, 261, 109, 564, 567
4024, 585, 584, 581, 837
4025, 833, 836, 835, 837
4026, 580, 839, 281, 586
4027, 833, 576, 834, 578
4028, 116, 590, 566, 839
4029, 563, 263, 108, 270
4030, 833, 565, 836, 568
4031, 587, 833, 836, 568
4032, 562, 840, 564, 64
4033, 576, 574, 834, 578
4034, 834, 833, 835, 837
4035, 263, 563, 840, 578
4036, 574, 576, 834, 577
4037, 562, 263, 563, 840
4038, 839, 571, 566, 594
4039, 427, 167, 588, 426
4040, 565, 836, 570, 839
4041, 590, 65, 488, 839
4042, 840, 66, 64, 488
4043, 574, 834, 265, 589
4044, 574, 834, 425, 575
4045, 276, 113, 573, 587
4046, 839, 582, 593, 835
4047, 565, 836, 568, 570
4048, 177, 834, 24, 425
4049, 585, 582, 835, 581
4050, 834, 574, 577, 575
4051, 425, 177, 575, 20
4052, 23, 424, 592, 175
4053, 110, 574, 578, 265
4054, 579, 836, 583, 570
4055, 576, 573, 837, 577
4056, 573, 113, 568, 587
4057, 424, 834, 838, 425
4058, 277, 838, 427, 588
4059, 573, 584, 587, 837
4060, 562, 110, 578, 265
4061, 584, 577, 838, 837
4062, 577, 834, 838, 837
4063, 66, 840, 64, 564
4064, 584, 588, 581, 838
4065, 563, 263, 270, 578
4066, 836, 587, 579, 837
4067, 593, 839, 835, 592
4068, 835, 424, 838, 426
4069, 833, 834, 840, 578
4070, 424, 23, 835, 488
4071, 833, 573, 576, 568
4072, 839, 593, 591, 592
4073, 839, 583, 570, 273
4074, 272, 571, 594, 115
4075, 563, 261, 840, 569
4076, 24, 834, 64, 488
4077, 427, 21, 277, 588
4078, 280, 593, 591, 580
4079, 839, 571, 594, 586
4080, 833, 576, 837, 834
4081, 836, 579, 583, 585
4082, 576, 568, 269, 572
4083, 271, 266, 109, 567
4084, 590, 839, 840, 567
4085, 117, 280, 591, 580
4086, 582, 839, 580, 583
4087, 265, 834, 64, 589
4088, 839, 582, 585, 583
4089, 274, 579, 570, 275
4090, 834, 576, 837, 577
4091, 839, 836, 583, 585
4092, 839, 583, 273, 586
4093, 839, 580, 583, 586
4094, 839, 571, 570, 566
4095, 427, 21, 160, 277
4096, 571, 839, 570, 273
4097, 261, 563, 840, 564
4098, 271, 590, 566, 115
4099, 594, 279, 281, 586
4100, 573, 277, 584, 577
4101, 424, 835, 175, 426
4102, 582, 593, 280, 580
4103, 839, 66, 840, 488
4104, 840, 563, 270, 578
4105, 834, 424, 24, 425
4106, 563, 562, 840, 564
4107, 836, 568, 570, 275
4108, 839, 580, 281, 591
4109, 839, 594, 281, 586
4110, 834, 577, 838, 575
4111, 424, 834, 835, 838
4112, 839, 590, 840, 66
4113, 177, 574, 834, 425
4114, 590, 266, 840, 66
4115, 114, 279, 594, 586
4116, 425, 834, 838, 575
4117, 168, 582, 426, 175
4118, 427, 277, 160, 575
4119, 591, 839, 592, 281
4120, 579, 836, 570, 275
4121, 840, 562, 265, 64
4122, 271, 590, 567, 566
4123, 571, 566, 594, 115
4124, 266, 840, 564, 567
4125, 573, 584, 837, 577
4126, 571, 114, 586, 273
4127, 562, 263, 840, 578
4128, 574, 177, 834, 589
4129, 65, 590, 488, 66
4130, 838, 835, 426, 581
4131, 840, 834, 64, 265
4132, 834, 837, 835, 838
4133, 177, 574, 20, 278
4134, 277, 584, 838, 588
4135, 427, 425, 838, 575
4136, 113, 587, 275, 568
4137, 588, 167, 581, 426
4138, 583, 274, 570, 273
4139, 116, 839, 566, 594
4140, 566, 116, 594, 115
4141, 571, 114, 594, 586
4142, 582, 835, 426, 175
4143, 167, 168, 581, 426
4144, 839, 833, 840, 567
4145, 585, 837, 581, 835
4146, 563, 569, 840, 270
4147, 574, 110, 278, 589
4148, 569, 563, 108, 270
4149, 837, 584, 581, 838
4150, 177, 574, 278, 589
4151, 584, 579, 837, 585
4152, 424, 834, 24, 488
4153, 23, 424, 24, 488
4154, 569, 833, 840, 572
4155, 580, 117, 281, 591
4156, 569, 840, 270, 572
4157, 261, 563, 108, 569
4158, 110, 574, 265, 589
4159, 582, 839, 585, 835
4160, 116, 590, 839, 592
4161, 424, 23, 592, 835
4162, 833, 565, 572, 569
4163, 835, 593, 592, 175
4164, 565, 833, 572, 568
4165, 427, 167, 21, 588
4166, 834, 24, 64, 589
4167, 834, 177, 24, 589
4168, 833, 587, 836, 837
4169, 263, 562, 110, 578
4170, 839, 116, 592, 281
4171, 590, 839, 488, 66
4172, 168, 582, 175, 22
4173, 424, 835, 592, 175
4174, 116, 65, 590, 592
4175, 114, 571, 594, 272
4176, 427, 425, 426, 838
4177, 590, 116, 566, 115
4178, 425, 424, 426, 838
4179, 835, 837, 581, 838
4180, 116, 839, 594, 281
4181, 576, 833, 568, 572
4182, 117, 580, 281, 586
4183, 835, 582, 426, 581
4184, 279, 117, 281, 586
4185, 565, 839, 570, 566
4186, 274, 579, 583, 570
4187, 836, 839, 583, 570
4188, 271, 266, 567, 590
4189, 839, 590, 566, 567
4190, 266, 109, 567, 564
4191, 571, 839, 273, 586
4192, 565, 839, 566, 567
4193, 427, 588, 838, 426
4194, 425, 575, 160, 20
4195, 573, 277, 276, 584
4196, 593, 582, 175, 835
4197, 574, 177, 20, 575
4198, 277, 427, 838, 575
4199, 593, 582, 280, 22
4200, 838, 588, 581, 426
4201, 578, 270, 572, 576
4202, 572, 270, 578, 840
4203, 572, 833, 578, 576
4204, 578, 833, 572, 840
4205, 836, 585, 837, 579
4206, 837, 585, 836, 835
4207, 835, 833, 488, 839
4208, 835, 488, 833, 834
4209, 840, 488, 833, 839
4210, 840, 833, 488, 834
4211, 567, 833, 569, 565
4212, 567, 569, 833, 840
4213, 840, 261, 567, 569
4214, 840, 567, 261, 564
4215, 65, 220, 839, 592
4216, 65, 839, 220, 488
4217, 839, 220, 835, 592
4218, 839, 835, 220, 488
4219, 835, 220, 23, 592
4220, 835, 23, 220, 488
4221, 836, 275, 587, 568
4222, 587, 275, 836, 579
4223, 265, 578, 834, 574
4224, 265, 840, 578, 562
4225, 265, 578, 840, 834
4226, 580, 593, 839, 582
4227, 580, 839, 593, 591
4228, 839, 833, 565, 836
4229, 839, 565, 833, 567
4230, 600, 282, 596, 25
4231, 194, 235, 512, 444
4232, 598, 537, 444, 536
4233, 26, 596, 25, 444
4234, 282, 598, 596, 118
4235, 249, 595, 597, 538
4236, 538, 443, 597, 599
4237, 95, 249, 597, 538
4238, 595, 443, 249, 30
4239, 283, 598, 119, 596
4240, 443, 595, 191, 30
4241, 95, 595, 597, 249
4242, 538, 599, 253, 537
4243, 599, 538, 253, 597
4244, 191, 35, 230, 512
4245, 597, 236, 512, 76
4246, 34, 194, 444, 235
4247, 599, 236, 512, 597
4248, 283, 252, 598, 536
4249, 595, 443, 512, 597
4250, 600, 34, 25, 444
4251, 193, 443, 537, 444
4252, 600, 34, 444, 235
4253, 95, 538, 597, 253
4254, 595, 597, 512, 76
4255, 598, 283, 536, 596
4256, 598, 600, 596, 444
4257, 443, 538, 30, 193
4258, 443, 595, 249, 538
4259, 599, 94, 253, 537
4260, 443, 599, 537, 444
4261, 598, 600, 235, 78
4262, 537, 599, 598, 444
4263, 600, 34, 235, 78
4264, 443, 249, 30, 538
4265, 35, 194, 512, 443
4266, 443, 599, 512, 597
4267, 85, 283, 596, 536
4268, 598, 600, 444, 235
4269, 86, 252, 283, 536
4270, 194, 443, 444, 512
4271, 94, 252, 536, 598
4272, 538, 443, 537, 193
4273, 283, 86, 536, 85
4274, 235, 599, 512, 444
4275, 86, 243, 536, 85
4276, 443, 599, 444, 512
4277, 595, 443, 597, 538
4278, 598, 119, 596, 118
4279, 443, 538, 537, 599
4280, 284, 600, 282, 598
4281, 595, 95, 597, 76
4282, 236, 599, 512, 235
4283, 537, 193, 444, 29
4284, 252, 283, 598, 119
4285, 284, 600, 598, 78
4286, 94, 252, 598, 119
4287, 599, 598, 444, 235
4288, 443, 35, 191, 512
4289, 595, 512, 230, 76
4290, 596, 600, 25, 444
4291, 598, 536, 444, 596
4292, 536, 537, 444, 29
4293, 284, 598, 282, 118
4294, 600, 598, 596, 282
4295, 191, 512, 595, 443
4296, 595, 512, 191, 230
4297, 598, 537, 94, 599
4298, 598, 94, 537, 536
4299, 29, 243, 444, 536
4300, 444, 243, 29, 26
4301, 243, 596, 444, 536
4302, 444, 596, 243, 26
4303, 243, 85, 596, 536
4304, 596, 85, 243, 26
4305, 555, 103, 59, 604
4306, 605, 120, 121, 289
4307, 590, 66, 65, 59
4308, 605, 289, 121, 604
4309, 555, 266, 109, 602
4310, 590, 290, 65, 116
4311, 590, 606, 290, 116
4312, 590, 115, 606, 116
4313, 603, 61, 604, 290
4314, 605, 555, 104, 285
4315, 286, 122, 601, 606
4316, 590, 65, 604, 59
4317, 555, 66, 590, 59
4318, 121, 289, 288, 604
4319, 603, 289, 288, 124
4320, 61, 603, 287, 290
4321, 122, 602, 601, 606
4322, 555, 266, 602, 590
4323, 103, 605, 121, 604
4324, 602, 555, 104, 109
4325, 602, 605, 604, 606
4326, 555, 602, 104, 285
4327, 289, 603, 290, 124
4328, 65, 61, 604, 59
4329, 590, 271, 601, 115
4330, 289, 603, 288, 604
4331, 602, 590, 271, 601
4332, 590, 602, 606, 601
4333, 555, 590, 604, 59
4334, 605, 555, 604, 103
4335, 605, 289, 604, 606
4336, 266, 602, 590, 271
4337, 603, 123, 290, 124
4338, 605, 555, 103, 104
4339, 123, 603, 290, 287
4340, 590, 602, 604, 606
4341, 115, 286, 601, 606
4342, 602, 266, 109, 271
4343, 602, 555, 605, 285
4344, 555, 602, 605, 604
4345, 289, 606, 290, 604
4346, 590, 115, 601, 606
4347, 555, 66, 266, 590
4348, 605, 602, 285, 120
4349, 606, 590, 290, 604
4350, 602, 555, 590, 604
4351, 603, 289, 290, 604
4352, 65, 604, 290, 590
4353, 65, 290, 604, 61
4354, 122, 606, 120, 602
4355, 122, 120, 606, 289
4356, 605, 120, 606, 602
4357, 605, 606, 120, 289
4358, 408, 407, 175, 593
4359, 591, 117, 281, 610
4360, 591, 607, 610, 593
4361, 11, 608, 292, 172
4362, 11, 92, 292, 608
4363, 238, 487, 611, 523
4364, 592, 487, 408, 608
4365, 610, 612, 592, 608
4366, 220, 592, 408, 23
4367, 22, 407, 169, 593
4368, 220, 23, 408, 174
4369, 487, 220, 408, 174
4370, 609, 407, 610, 607
4371, 123, 238, 287, 611
4372, 591, 117, 291, 280
4373, 612, 487, 608, 611
4374, 612, 290, 65, 61
4375, 407, 22, 175, 593
4376, 612, 591, 610, 592
4377, 591, 612, 281, 592
4378, 608, 613, 292, 172
4379, 612, 487, 592, 608
4380, 117, 591, 291, 610
4381, 610, 591, 593, 592
4382, 487, 608, 611, 523
4383, 238, 89, 245, 611
4384, 609, 610, 408, 608
4385, 487, 63, 221, 523
4386, 609, 125, 613, 607
4387, 63, 238, 523, 487
4388, 287, 290, 611, 61
4389, 607, 591, 291, 280
4390, 592, 23, 175, 408
4391, 11, 608, 409, 523
4392, 613, 609, 608, 292
4393, 220, 487, 408, 592
4394, 221, 174, 409, 6
4395, 608, 408, 409, 523
4396, 612, 487, 611, 61
4397, 407, 609, 613, 607
4398, 92, 11, 523, 608
4399, 245, 92, 523, 608
4400, 591, 612, 610, 281
4401, 290, 612, 611, 61
4402, 612, 592, 65, 116
4403, 612, 281, 592, 116
4404, 125, 609, 291, 607
4405, 174, 487, 409, 408
4406, 408, 608, 409, 172
4407, 607, 609, 291, 610
4408, 591, 607, 291, 610
4409, 290, 123, 287, 611
4410, 607, 407, 610, 593
4411, 11, 173, 523, 409
4412, 238, 245, 523, 611
4413, 608, 11, 409, 172
4414, 487, 220, 65, 592
4415, 245, 608, 523, 611
4416, 609, 407, 408, 610
4417, 408, 487, 523, 608
4418, 612, 487, 65, 592
4419, 487, 612, 65, 61
4420, 221, 173, 409, 523
4421, 610, 592, 408, 608
4422, 613, 407, 12, 172
4423, 407, 607, 12, 169
4424, 125, 607, 12, 613
4425, 487, 174, 409, 221
4426, 592, 408, 175, 593
4427, 487, 221, 409, 523
4428, 173, 221, 409, 6
4429, 89, 238, 123, 611
4430, 607, 591, 280, 593
4431, 22, 607, 280, 593
4432, 609, 125, 292, 613
4433, 408, 487, 409, 523
4434, 290, 612, 65, 116
4435, 607, 407, 12, 613
4436, 607, 22, 169, 593
4437, 238, 63, 61, 487
4438, 407, 607, 169, 593
4439, 608, 613, 408, 609
4440, 608, 408, 613, 172
4441, 407, 408, 613, 609
4442, 407, 613, 408, 172
4443, 593, 408, 610, 592
4444, 593, 610, 408, 407
4445, 61, 611, 238, 487
4446, 61, 238, 611, 287
4447, 553, 614, 107, 40
4448, 553, 102, 614, 70
4449, 73, 74, 553, 112
4450, 48, 553, 615, 112
4451, 222, 553, 67, 70
4452, 74, 48, 615, 112
4453, 126, 102, 67, 614
4454, 553, 74, 615, 112
4455, 614, 102, 67, 70
4456, 614, 553, 67, 615
4457, 47, 43, 615, 48
4458, 126, 43, 614, 615
4459, 48, 43, 614, 40
4460, 48, 43, 615, 614
4461, 553, 222, 67, 615
4462, 222, 74, 67, 615
4463, 102, 553, 614, 107
4464, 74, 222, 553, 615
4465, 222, 73, 74, 553
4466, 553, 48, 615, 614
4467, 48, 553, 112, 107
4468, 74, 47, 615, 48
4469, 126, 614, 67, 615
4470, 553, 614, 67, 70
4471, 553, 48, 614, 40
4472, 48, 553, 107, 40
4473, 556, 219, 59, 485
4474, 239, 618, 90, 517
4475, 238, 89, 603, 517
4476, 70, 218, 556, 67
4477, 556, 218, 219, 485
4478, 604, 617, 121, 616
4479, 618, 603, 288, 124
4480, 516, 238, 63, 61
4481, 603, 516, 485, 61
4482, 238, 516, 603, 61
4483, 516, 617, 616, 517
4484, 516, 218, 485, 62
4485, 123, 89, 603, 238
4486, 617, 618, 517, 603
4487, 604, 102, 126, 103
4488, 126, 604, 103, 121
4489, 604, 617, 616, 516
4490, 126, 616, 121, 127
4491, 102, 70, 556, 67
4492, 126, 604, 121, 616
4493, 238, 287, 61, 603
4494, 516, 62, 485, 63
4495, 89, 123, 603, 124
4496, 618, 89, 603, 124
4497, 218, 556, 219, 60
4498, 616, 617, 121, 127
4499, 618, 617, 288, 603
4500, 89, 618, 90, 124
4501, 618, 89, 90, 517
4502, 516, 218, 616, 485
4503, 604, 556, 59, 485
4504, 218, 516, 616, 68
4505, 67, 218, 616, 68
4506, 604, 516, 616, 485
4507, 293, 617, 616, 127
4508, 287, 123, 603, 238
4509, 102, 604, 556, 103
4510, 556, 218, 485, 616
4511, 617, 239, 517, 618
4512, 604, 617, 288, 121
4513, 604, 556, 485, 616
4514, 617, 237, 616, 517
4515, 516, 63, 485, 61
4516, 556, 604, 126, 616
4517, 102, 556, 126, 67
4518, 102, 604, 126, 556
4519, 604, 617, 517, 603
4520, 617, 604, 517, 516
4521, 516, 604, 517, 603
4522, 67, 556, 126, 616
4523, 237, 617, 616, 293
4524, 218, 556, 67, 616
4525, 617, 239, 87, 517
4526, 604, 603, 485, 61
4527, 516, 237, 616, 68
4528, 556, 604, 59, 103
4529, 218, 516, 68, 62
4530, 237, 516, 616, 517
4531, 617, 604, 288, 603
4532, 293, 617, 87, 517
4533, 604, 516, 485, 603
4534, 604, 485, 59, 61
4535, 516, 238, 603, 517
4536, 89, 618, 603, 517
4537, 218, 70, 556, 60
4538, 237, 293, 87, 517
4539, 237, 617, 293, 517
4540, 624, 631, 847, 848
4541, 297, 844, 623, 632
4542, 308, 130, 643, 843
4543, 629, 474, 847, 208
4544, 637, 306, 845, 650
4545, 626, 629, 475, 847
4546, 640, 299, 639, 625
4547, 842, 844, 841, 847
4548, 492, 842, 58, 214
4549, 631, 844, 632, 625
4550, 51, 130, 843, 71
4551, 133, 295, 638, 621
4552, 631, 622, 844, 846
4553, 303, 81, 627, 84
4554, 624, 629, 626, 847
4555, 846, 635, 628, 296
4556, 846, 634, 636, 845
4557, 308, 646, 843, 643
4558, 51, 843, 130, 648
4559, 297, 632, 298, 129
4560, 268, 842, 58, 112
4561, 651, 846, 305, 845
4562, 650, 637, 843, 845
4563, 631, 846, 628, 296
4564, 624, 848, 845, 628
4565, 629, 204, 475, 208
4566, 651, 306, 636, 305
4567, 624, 628, 845, 634
4568, 631, 624, 847, 625
4569, 637, 306, 636, 845
4570, 846, 622, 621, 296
4571, 640, 639, 847, 625
4572, 843, 644, 309, 645
4573, 492, 848, 643, 71
4574, 842, 268, 641, 112
4575, 848, 650, 843, 845
4576, 83, 81, 627, 82
4577, 492, 848, 74, 847
4578, 648, 50, 626, 304
4579, 74, 48, 641, 847
4580, 83, 304, 647, 627
4581, 624, 848, 843, 845
4582, 642, 842, 623, 111
4583, 303, 637, 302, 630
4584, 846, 619, 649, 621
4585, 303, 81, 307, 627
4586, 650, 848, 841, 845
4587, 651, 650, 841, 845
4588, 848, 846, 841, 845
4589, 622, 846, 619, 841
4590, 216, 56, 649, 482
4591, 846, 651, 841, 845
4592, 619, 846, 649, 841
4593, 643, 848, 843, 71
4594, 216, 651, 57, 841
4595, 481, 620, 211, 482
4596, 630, 637, 302, 634
4597, 48, 74, 641, 112
4598, 635, 128, 638, 301
4599, 640, 629, 49, 299
4600, 628, 846, 845, 634
4601, 651, 216, 649, 841
4602, 642, 842, 844, 623
4603, 633, 647, 304, 627
4604, 844, 622, 623, 841
4605, 846, 305, 621, 649
4606, 131, 308, 644, 843
4607, 626, 633, 843, 648
4608, 268, 620, 842, 111
4609, 308, 131, 130, 843
4610, 297, 631, 622, 844
4611, 624, 626, 848, 847
4612, 204, 629, 475, 626
4613, 842, 844, 847, 639
4614, 630, 624, 845, 634
4615, 848, 492, 74, 71
4616, 483, 216, 57, 841
4617, 624, 629, 847, 625
4618, 842, 492, 847, 841
4619, 637, 303, 307, 843
4620, 622, 844, 846, 841
4621, 639, 844, 847, 625
4622, 626, 624, 848, 843
4623, 210, 51, 648, 475
4624, 474, 629, 475, 208
4625, 629, 640, 847, 625
4626, 214, 842, 483, 841
4627, 844, 642, 632, 300
4628, 631, 297, 632, 844
4629, 620, 481, 841, 482
4630, 268, 642, 842, 639
4631, 842, 639, 847, 641
4632, 492, 842, 214, 841
4633, 620, 619, 211, 482
4634, 131, 644, 309, 843
4635, 49, 629, 208, 204
4636, 846, 305, 636, 638
4637, 483, 216, 841, 482
4638, 631, 622, 846, 296
4639, 842, 620, 481, 841
4640, 111, 642, 298, 623
4641, 848, 846, 845, 628
4642, 492, 848, 841, 650
4643, 635, 295, 638, 128
4644, 637, 630, 845, 634
4645, 639, 640, 847, 641
4646, 632, 642, 298, 129
4647, 626, 210, 475, 50
4648, 648, 50, 210, 626
4649, 306, 651, 636, 845
4650, 648, 131, 309, 843
4651, 642, 842, 639, 844
4652, 633, 647, 627, 843
4653, 303, 307, 843, 627
4654, 642, 632, 300, 129
4655, 651, 846, 649, 305
4656, 633, 647, 648, 304
4657, 204, 626, 475, 50
4658, 306, 637, 134, 650
4659, 646, 650, 132, 134
4660, 642, 268, 842, 111
4661, 216, 841, 482, 649
4662, 642, 844, 632, 298
4663, 846, 651, 649, 841
4664, 842, 620, 623, 111
4665, 268, 620, 111, 215
4666, 214, 483, 57, 841
4667, 56, 619, 649, 482
4668, 648, 626, 475, 843
4669, 848, 650, 643, 843
4670, 631, 844, 848, 846
4671, 645, 82, 647, 627
4672, 650, 646, 643, 843
4673, 633, 624, 843, 630
4674, 51, 648, 475, 843
4675, 474, 51, 475, 843
4676, 844, 848, 841, 847
4677, 846, 622, 619, 621
4678, 639, 844, 625, 300
4679, 844, 632, 625, 300
4680, 635, 846, 301, 638
4681, 640, 629, 847, 208
4682, 81, 83, 627, 84
4683, 842, 620, 215, 481
4684, 128, 635, 621, 296
4685, 295, 635, 621, 128
4686, 306, 651, 845, 650
4687, 133, 294, 621, 649
4688, 846, 635, 301, 628
4689, 492, 848, 847, 841
4690, 619, 620, 623, 841
4691, 268, 620, 215, 842
4692, 492, 72, 71, 643
4693, 72, 650, 132, 643
4694, 619, 620, 841, 482
4695, 481, 483, 841, 482
4696, 640, 629, 299, 625
4697, 481, 842, 841, 483
4698, 846, 305, 845, 636
4699, 305, 133, 621, 649
4700, 642, 844, 639, 300
4701, 635, 846, 621, 296
4702, 492, 214, 57, 841
4703, 650, 651, 841, 57
4704, 619, 294, 649, 621
4705, 299, 639, 625, 300
4706, 845, 634, 636, 302
4707, 630, 633, 627, 843
4708, 650, 646, 132, 643
4709, 846, 301, 636, 634
4710, 72, 492, 57, 650
4711, 646, 308, 132, 643
4712, 637, 845, 636, 302
4713, 622, 297, 844, 623
4714, 633, 624, 626, 843
4715, 481, 842, 483, 215
4716, 846, 305, 638, 621
4717, 626, 210, 648, 475
4718, 637, 630, 843, 845
4719, 650, 637, 134, 843
4720, 646, 650, 134, 843
4721, 842, 268, 58, 215
4722, 633, 647, 843, 648
4723, 842, 58, 483, 215
4724, 637, 634, 845, 302
4725, 846, 635, 621, 638
4726, 83, 82, 627, 647
4727, 651, 305, 636, 845
4728, 635, 295, 621, 638
4729, 634, 301, 636, 302
4730, 844, 846, 841, 848
4731, 305, 133, 638, 621
4732, 642, 844, 298, 623
4733, 620, 481, 211, 55
4734, 648, 843, 309, 647
4735, 304, 633, 626, 648
4736, 56, 294, 649, 619
4737, 640, 629, 208, 49
4738, 846, 301, 634, 628
4739, 81, 82, 645, 627
4740, 303, 637, 630, 843
4741, 644, 646, 307, 843
4742, 848, 492, 643, 650
4743, 492, 72, 643, 650
4744, 307, 81, 645, 627
4745, 131, 648, 130, 843
4746, 631, 844, 847, 848
4747, 641, 640, 847, 208
4748, 308, 644, 843, 646
4749, 844, 631, 847, 625
4750, 842, 268, 639, 641
4751, 622, 619, 623, 841
4752, 130, 643, 843, 71
4753, 309, 82, 647, 645
4754, 492, 650, 841, 57
4755, 843, 309, 647, 645
4756, 620, 842, 623, 841
4757, 301, 846, 636, 638
4758, 842, 844, 623, 841
4759, 843, 645, 647, 627
4760, 630, 624, 843, 845
4761, 843, 307, 645, 627
4762, 842, 58, 214, 483
4763, 620, 111, 215, 55
4764, 644, 307, 645, 843
4765, 303, 630, 627, 843
4766, 481, 620, 215, 55
4767, 841, 619, 482, 649
4768, 56, 619, 482, 211
4769, 631, 846, 848, 628
4770, 624, 631, 848, 628
4771, 297, 631, 296, 622
4772, 629, 474, 475, 847
4773, 632, 844, 623, 298
4774, 297, 632, 623, 298
4775, 47, 48, 847, 474
4776, 47, 847, 48, 74
4777, 848, 47, 847, 474
4778, 848, 847, 47, 74
4779, 71, 848, 47, 74
4780, 847, 48, 208, 474
4781, 847, 208, 48, 641
4782, 112, 842, 847, 641
4783, 112, 58, 847, 842
4784, 492, 847, 58, 842
4785, 847, 475, 848, 474
4786, 847, 848, 475, 626
4787, 843, 848, 475, 474
4788, 843, 475, 848, 626
4789, 843, 134, 307, 637
4790, 843, 307, 134, 646
4791, 848, 47, 843, 71
4792, 848, 843, 47, 474
4793, 51, 843, 47, 71
4794, 51, 47, 843, 474
4795, 74, 112, 847, 641
4796, 73, 74, 847, 492
4797, 847, 74, 73, 112
4798, 847, 58, 73, 492
4799, 73, 58, 847, 112
4800, 660, 318, 653, 658
4801, 316, 652, 313, 656
4802, 255, 542, 659, 849
4803, 288, 618, 664, 617
4804, 663, 288, 664, 617
4805, 666, 663, 665, 850
4806, 96, 316, 656, 661
4807, 318, 660, 137, 658
4808, 256, 657, 662, 541
4809, 542, 99, 255, 659
4810, 850, 659, 137, 254
4811, 850, 654, 653, 315
4812, 659, 99, 137, 254
4813, 660, 850, 137, 658
4814, 652, 849, 661, 312
4815, 542, 255, 541, 849
4816, 314, 652, 662, 138
4817, 256, 662, 849, 541
4818, 652, 317, 662, 138
4819, 652, 317, 138, 313
4820, 655, 311, 659, 312
4821, 654, 663, 122, 315
4822, 657, 662, 541, 849
4823, 655, 311, 850, 659
4824, 663, 850, 664, 665
4825, 526, 617, 87, 293
4826, 663, 121, 654, 289
4827, 850, 542, 849, 659
4828, 289, 663, 288, 664
4829, 666, 655, 849, 662
4830, 663, 666, 315, 850
4831, 850, 655, 659, 849
4832, 666, 655, 315, 850
4833, 316, 652, 135, 313
4834, 655, 666, 315, 314
4835, 655, 850, 653, 315
4836, 311, 660, 850, 659
4837, 850, 663, 654, 315
4838, 121, 663, 288, 289
4839, 666, 655, 662, 314
4840, 652, 655, 849, 312
4841, 239, 618, 617, 664
4842, 850, 663, 664, 617
4843, 526, 665, 91, 246
4844, 652, 316, 135, 661
4845, 654, 289, 120, 122
4846, 652, 317, 656, 662
4847, 660, 311, 653, 136
4848, 663, 850, 654, 658
4849, 850, 660, 653, 658
4850, 850, 127, 137, 658
4851, 542, 850, 254, 659
4852, 318, 310, 653, 658
4853, 618, 124, 288, 664
4854, 663, 121, 288, 617
4855, 850, 127, 658, 617
4856, 317, 657, 662, 100
4857, 526, 665, 246, 664
4858, 127, 850, 137, 254
4859, 665, 850, 664, 617
4860, 656, 652, 849, 661
4861, 239, 526, 246, 664
4862, 99, 542, 254, 659
4863, 850, 542, 254, 540
4864, 662, 657, 656, 849
4865, 657, 256, 662, 100
4866, 311, 660, 653, 850
4867, 652, 317, 313, 656
4868, 121, 663, 654, 658
4869, 657, 247, 541, 100
4870, 256, 657, 541, 100
4871, 121, 289, 120, 654
4872, 654, 850, 653, 658
4873, 127, 121, 658, 617
4874, 665, 526, 293, 617
4875, 655, 311, 653, 850
4876, 665, 526, 91, 241
4877, 665, 241, 91, 540
4878, 542, 850, 665, 540
4879, 659, 255, 849, 661
4880, 317, 657, 656, 662
4881, 655, 652, 849, 662
4882, 316, 652, 656, 661
4883, 127, 850, 293, 617
4884, 850, 665, 293, 617
4885, 239, 90, 664, 246
4886, 314, 655, 662, 652
4887, 124, 289, 288, 664
4888, 90, 239, 664, 618
4889, 654, 121, 658, 120
4890, 256, 665, 91, 540
4891, 256, 542, 665, 540
4892, 88, 526, 87, 293
4893, 850, 127, 293, 254
4894, 660, 850, 659, 137
4895, 654, 120, 658, 310
4896, 652, 135, 312, 661
4897, 256, 666, 849, 662
4898, 96, 247, 541, 656
4899, 662, 652, 849, 656
4900, 310, 654, 653, 658
4901, 655, 666, 849, 850
4902, 90, 124, 618, 664
4903, 96, 541, 849, 656
4904, 542, 256, 849, 541
4905, 850, 542, 665, 849
4906, 666, 850, 665, 849
4907, 542, 256, 665, 849
4908, 256, 666, 665, 849
4909, 289, 663, 122, 654
4910, 526, 239, 87, 617
4911, 96, 656, 849, 661
4912, 658, 663, 617, 121
4913, 658, 617, 663, 850
4914, 241, 88, 665, 526
4915, 241, 665, 88, 540
4916, 293, 665, 88, 526
4917, 849, 96, 255, 541
4918, 849, 255, 96, 661
4919, 318, 653, 136, 660
4920, 318, 136, 653, 310
4921, 664, 526, 617, 239
4922, 664, 617, 526, 665
4923, 312, 849, 659, 655
4924, 312, 659, 849, 661
4925, 656, 541, 657, 247
4926, 656, 657, 541, 849
4927, 665, 88, 850, 293
4928, 665, 850, 88, 540
4929, 254, 850, 88, 293
4930, 254, 88, 850, 540
4931, 419, 165, 690, 166
4932, 674, 856, 676, 675
4933, 187, 452, 670, 15
4934, 860, 856, 676, 692
4935, 92, 527, 864, 695
4936, 674, 140, 698, 326
4937, 860, 856, 687, 681
4938, 864, 244, 544, 857
4939, 447, 864, 544, 857
4940, 448, 447, 857, 858
4941, 447, 244, 544, 864
4942, 292, 696, 683, 328
4943, 676, 852, 692, 324
4944, 863, 685, 417, 682
4945, 667, 321, 855, 686
4946, 864, 860, 695, 857
4947, 180, 181, 865, 416
4948, 452, 449, 187, 855
4949, 856, 860, 687, 692
4950, 864, 453, 862, 858
4951, 860, 856, 695, 857
4952, 674, 856, 675, 857
4953, 325, 856, 698, 684
4954, 861, 686, 854, 855
4955, 852, 689, 691, 692
4956, 861, 693, 692, 691
4957, 856, 694, 695, 857
4958, 682, 125, 12, 613
4959, 19, 418, 11, 527
4960, 19, 418, 451, 181
4961, 675, 676, 673, 858
4962, 863, 693, 681, 860
4963, 527, 447, 244, 28
4964, 674, 325, 676, 856
4965, 11, 863, 417, 172
4966, 329, 696, 684, 698
4967, 325, 698, 856, 674
4968, 696, 856, 698, 694
4969, 420, 419, 855, 421
4970, 853, 852, 858, 673
4971, 685, 863, 417, 419
4972, 418, 863, 11, 527
4973, 325, 856, 684, 687
4974, 864, 451, 862, 453
4975, 669, 449, 854, 187
4976, 854, 667, 670, 855
4977, 689, 852, 323, 692
4978, 852, 689, 861, 691
4979, 672, 188, 320, 450
4980, 27, 672, 320, 450
4981, 682, 164, 417, 172
4982, 863, 859, 861, 862
4983, 689, 668, 677, 851
4984, 863, 92, 11, 527
4985, 685, 419, 165, 690
4986, 859, 863, 861, 693
4987, 696, 683, 328, 684
4988, 682, 863, 172, 417
4989, 676, 856, 687, 692
4990, 678, 852, 676, 324
4991, 181, 180, 865, 452
4992, 686, 321, 855, 688
4993, 667, 321, 686, 322
4994, 449, 452, 865, 855
4995, 853, 852, 862, 858
4996, 453, 853, 450, 862
4997, 420, 153, 421, 855
4998, 188, 27, 320, 450
4999, 325, 676, 687, 324
5000, 668, 689, 854, 851
5001, 671, 680, 673, 858
5002, 859, 686, 861, 855
5003, 420, 452, 670, 855
5004, 125, 682, 683, 613
5005, 672, 669, 851, 320
5006, 667, 321, 670, 855
5007, 859, 863, 419, 416
5008, 139, 689, 677, 323
5009, 678, 853, 672, 673
5010, 668, 319, 677, 851
5011, 689, 139, 677, 668
5012, 449, 453, 450, 862
5013, 419, 690, 855, 421
5014, 854, 669, 851, 862
5015, 153, 421, 855, 688
5016, 859, 419, 855, 420
5017, 92, 863, 864, 527
5018, 861, 859, 855, 862
5019, 92, 863, 11, 292
5020, 321, 153, 670, 855
5021, 527, 92, 93, 695
5022, 421, 153, 10, 688
5023, 852, 678, 673, 853
5024, 860, 687, 692, 681
5025, 685, 419, 417, 165
5026, 864, 527, 857, 695
5027, 860, 852, 692, 676
5028, 679, 857, 680, 250
5029, 448, 198, 680, 857
5030, 12, 682, 613, 172
5031, 180, 452, 420, 865
5032, 860, 864, 862, 858
5033, 679, 675, 680, 857
5034, 198, 544, 250, 680
5035, 863, 864, 865, 862
5036, 198, 857, 544, 680
5037, 292, 125, 683, 613
5038, 164, 685, 417, 165
5039, 187, 854, 670, 855
5040, 697, 679, 258, 857
5041, 683, 856, 687, 684
5042, 679, 697, 101, 327
5043, 856, 674, 698, 694
5044, 696, 856, 683, 684
5045, 857, 697, 695, 258
5046, 669, 853, 851, 862
5047, 447, 864, 857, 858
5048, 447, 527, 244, 864
5049, 693, 863, 861, 860
5050, 854, 861, 855, 862
5051, 418, 863, 527, 864
5052, 188, 672, 669, 450
5053, 418, 19, 197, 527
5054, 853, 454, 450, 672
5055, 451, 449, 862, 453
5056, 671, 448, 680, 858
5057, 852, 861, 692, 691
5058, 319, 668, 669, 851
5059, 672, 320, 851, 677
5060, 451, 181, 865, 452
5061, 667, 669, 854, 187
5062, 860, 863, 861, 862
5063, 244, 527, 93, 695
5064, 244, 527, 857, 864
5065, 863, 292, 683, 682
5066, 125, 292, 683, 328
5067, 319, 669, 677, 851
5068, 418, 451, 181, 865
5069, 452, 180, 420, 15
5070, 326, 674, 694, 698
5071, 863, 859, 865, 416
5072, 322, 667, 668, 854
5073, 690, 419, 166, 421
5074, 452, 420, 865, 855
5075, 852, 860, 858, 676
5076, 667, 686, 855, 854
5077, 856, 860, 858, 857
5078, 452, 187, 670, 855
5079, 859, 686, 691, 861
5080, 686, 859, 691, 690
5081, 454, 671, 672, 853
5082, 672, 853, 669, 450
5083, 856, 696, 695, 694
5084, 693, 859, 691, 861
5085, 852, 853, 851, 672
5086, 859, 693, 691, 690
5087, 853, 669, 450, 862
5088, 689, 322, 668, 854
5089, 449, 854, 187, 855
5090, 685, 164, 417, 682
5091, 447, 451, 864, 453
5092, 164, 682, 12, 172
5093, 418, 863, 417, 11
5094, 419, 859, 416, 420
5095, 322, 689, 686, 854
5096, 667, 322, 686, 854
5097, 421, 690, 855, 688
5098, 669, 667, 854, 851
5099, 420, 859, 865, 855
5100, 857, 448, 858, 680
5101, 852, 860, 692, 861
5102, 451, 418, 864, 865
5103, 188, 449, 450, 669
5104, 418, 181, 416, 865
5105, 453, 853, 862, 858
5106, 451, 864, 862, 865
5107, 669, 449, 450, 862
5108, 863, 418, 416, 865
5109, 682, 292, 683, 613
5110, 418, 863, 864, 865
5111, 667, 668, 854, 851
5112, 857, 679, 258, 544
5113, 668, 667, 669, 851
5114, 674, 675, 679, 857
5115, 674, 326, 694, 327
5116, 678, 323, 677, 851
5117, 678, 852, 323, 851
5118, 672, 853, 851, 669
5119, 323, 689, 677, 851
5120, 859, 863, 865, 862
5121, 694, 697, 695, 857
5122, 671, 448, 853, 453
5123, 320, 669, 851, 677
5124, 447, 527, 197, 28
5125, 852, 689, 323, 851
5126, 861, 689, 851, 854
5127, 852, 689, 851, 861
5128, 861, 852, 862, 851
5129, 852, 853, 862, 851
5130, 852, 860, 862, 858
5131, 454, 671, 853, 453
5132, 153, 321, 10, 688
5133, 671, 454, 448, 453
5134, 690, 686, 855, 688
5135, 447, 198, 544, 28
5136, 244, 447, 544, 28
5137, 853, 454, 453, 450
5138, 863, 92, 864, 695
5139, 854, 861, 862, 851
5140, 93, 544, 695, 258
5141, 860, 852, 862, 861
5142, 448, 190, 680, 31
5143, 198, 448, 680, 31
5144, 697, 674, 857, 694
5145, 448, 853, 453, 858
5146, 680, 675, 673, 858
5147, 696, 856, 684, 698
5148, 325, 140, 684, 698
5149, 671, 454, 672, 189
5150, 856, 683, 687, 681
5151, 448, 671, 853, 858
5152, 853, 671, 673, 858
5153, 860, 864, 858, 857
5154, 678, 852, 672, 853
5155, 865, 449, 855, 862
5156, 689, 139, 668, 322
5157, 678, 672, 851, 677
5158, 544, 857, 250, 680
5159, 153, 420, 670, 855
5160, 859, 865, 855, 862
5161, 292, 682, 172, 613
5162, 454, 671, 190, 189
5163, 671, 454, 190, 448
5164, 292, 863, 172, 682
5165, 329, 696, 328, 684
5166, 863, 685, 693, 690
5167, 859, 863, 693, 690
5168, 451, 452, 865, 449
5169, 668, 139, 677, 319
5170, 856, 860, 695, 683
5171, 863, 860, 864, 862
5172, 449, 188, 187, 669
5173, 696, 856, 695, 683
5174, 697, 674, 679, 857
5175, 674, 856, 857, 694
5176, 856, 860, 683, 681
5177, 448, 671, 680, 190
5178, 92, 863, 292, 695
5179, 697, 679, 101, 258
5180, 198, 447, 544, 857
5181, 860, 863, 864, 695
5182, 697, 674, 327, 679
5183, 696, 292, 683, 695
5184, 863, 860, 683, 695
5185, 292, 863, 683, 695
5186, 189, 454, 672, 450
5187, 856, 675, 858, 676
5188, 675, 856, 858, 857
5189, 189, 27, 450, 672
5190, 860, 856, 858, 676
5191, 853, 671, 672, 673
5192, 676, 678, 673, 858
5193, 678, 852, 673, 858
5194, 419, 859, 855, 690
5195, 852, 678, 676, 858
5196, 416, 180, 420, 865
5197, 859, 416, 420, 865
5198, 679, 250, 101, 258
5199, 679, 544, 250, 258
5200, 153, 321, 688, 855
5201, 449, 669, 854, 862
5202, 682, 863, 681, 683
5203, 449, 854, 855, 862
5204, 188, 672, 320, 669
5205, 452, 420, 670, 15
5206, 685, 863, 681, 682
5207, 859, 686, 855, 690
5208, 678, 852, 851, 672
5209, 687, 676, 692, 324
5210, 863, 685, 681, 693
5211, 863, 860, 681, 683
5212, 860, 693, 692, 861
5213, 667, 854, 670, 187
5214, 856, 325, 676, 687
5215, 140, 329, 684, 698
5216, 527, 244, 857, 695
5217, 15, 420, 670, 153
5218, 697, 674, 694, 327
5219, 166, 421, 10, 688
5220, 19, 418, 197, 451
5221, 527, 447, 197, 864
5222, 857, 675, 680, 858
5223, 198, 447, 857, 448
5224, 447, 451, 197, 864
5225, 418, 527, 197, 864
5226, 863, 418, 417, 416
5227, 419, 863, 417, 416
5228, 292, 863, 11, 172
5229, 674, 140, 325, 698
5230, 451, 418, 197, 864
5231, 544, 857, 695, 258
5232, 250, 198, 680, 31
5233, 679, 857, 250, 544
5234, 319, 669, 320, 677
5235, 449, 451, 862, 865
5236, 166, 690, 421, 688
5237, 693, 860, 692, 681
5238, 324, 852, 323, 678
5239, 324, 323, 852, 692
5240, 858, 447, 453, 448
5241, 858, 453, 447, 864
5242, 861, 686, 689, 854
5243, 861, 689, 686, 691
5244, 695, 244, 544, 93
5245, 695, 544, 244, 857
5246, 690, 863, 419, 859
5247, 690, 419, 863, 685
5248, 714, 138, 707, 662
5249, 715, 713, 870, 709
5250, 875, 727, 609, 877
5251, 717, 705, 331, 141
5252, 713, 543, 697, 101
5253, 703, 876, 700, 867
5254, 873, 867, 868, 711
5255, 867, 873, 700, 711
5256, 703, 704, 700, 876
5257, 664, 611, 879, 89
5258, 725, 706, 866, 719
5259, 877, 608, 879, 612
5260, 606, 702, 866, 612
5261, 317, 100, 662, 710
5262, 877, 608, 871, 879
5263, 703, 666, 315, 881
5264, 694, 709, 869, 870
5265, 876, 867, 881, 880
5266, 289, 290, 881, 879
5267, 872, 715, 868, 867
5268, 873, 874, 868, 878
5269, 716, 698, 869, 723
5270, 874, 873, 868, 711
5271, 710, 100, 662, 256
5272, 724, 708, 334, 114
5273, 611, 245, 879, 89
5274, 705, 717, 332, 141
5275, 706, 704, 719, 333
5276, 704, 719, 333, 720
5277, 878, 874, 871, 869
5278, 245, 91, 879, 246
5279, 874, 873, 711, 712
5280, 727, 875, 721, 877
5281, 666, 880, 663, 881
5282, 696, 329, 869, 698
5283, 281, 594, 116, 612
5284, 91, 665, 879, 246
5285, 726, 727, 721, 877
5286, 872, 666, 880, 256
5287, 870, 872, 871, 256
5288, 703, 666, 707, 314
5289, 872, 710, 662, 256
5290, 714, 872, 715, 710
5291, 725, 706, 708, 866
5292, 873, 874, 722, 712
5293, 875, 878, 871, 869
5294, 332, 704, 333, 720
5295, 594, 724, 866, 281
5296, 245, 90, 246, 879
5297, 877, 879, 871, 880
5298, 91, 665, 256, 880
5299, 666, 707, 314, 662
5300, 876, 873, 868, 878
5301, 866, 606, 612, 881
5302, 873, 876, 718, 878
5303, 694, 697, 709, 870
5304, 874, 873, 718, 878
5305, 704, 873, 705, 700
5306, 874, 709, 868, 870
5307, 877, 875, 721, 878
5308, 709, 874, 712, 869
5309, 724, 279, 281, 594
5310, 718, 876, 721, 878
5311, 666, 665, 880, 256
5312, 695, 92, 871, 292
5313, 873, 717, 711, 712
5314, 725, 726, 721, 877
5315, 873, 876, 720, 718
5316, 876, 866, 721, 878
5317, 876, 878, 868, 880
5318, 707, 714, 662, 867
5319, 91, 256, 871, 880
5320, 866, 876, 721, 719
5321, 328, 875, 696, 728
5322, 606, 702, 115, 286
5323, 725, 866, 877, 721
5324, 696, 875, 871, 869
5325, 716, 709, 712, 869
5326, 706, 719, 334, 333
5327, 706, 725, 334, 719
5328, 718, 874, 723, 722
5329, 704, 873, 876, 720
5330, 876, 873, 700, 867
5331, 92, 93, 695, 871
5332, 876, 704, 719, 866
5333, 698, 329, 869, 723
5334, 328, 727, 875, 728
5335, 874, 868, 712, 711
5336, 879, 877, 612, 881
5337, 606, 290, 612, 881
5338, 726, 610, 117, 291
5339, 666, 703, 867, 880
5340, 705, 704, 332, 720
5341, 716, 140, 723, 335
5342, 608, 92, 292, 871
5343, 875, 877, 871, 878
5344, 90, 664, 879, 89
5345, 727, 875, 609, 292
5346, 717, 873, 722, 712
5347, 664, 665, 246, 879
5348, 91, 245, 879, 871
5349, 867, 876, 868, 880
5350, 91, 92, 245, 871
5351, 608, 245, 871, 879
5352, 606, 122, 701, 286
5353, 866, 877, 612, 610
5354, 696, 694, 869, 870
5355, 695, 694, 696, 870
5356, 875, 728, 869, 696
5357, 872, 714, 662, 710
5358, 272, 594, 114, 708
5359, 709, 874, 869, 870
5360, 695, 696, 871, 870
5361, 714, 138, 330, 707
5362, 694, 696, 869, 698
5363, 290, 611, 612, 879
5364, 707, 867, 700, 711
5365, 728, 874, 878, 869
5366, 727, 726, 609, 877
5367, 722, 336, 712, 335
5368, 258, 93, 256, 870
5369, 713, 327, 697, 709
5370, 875, 608, 292, 871
5371, 703, 707, 867, 700
5372, 725, 706, 334, 708
5373, 695, 93, 870, 871
5374, 876, 703, 881, 867
5375, 877, 878, 881, 880
5376, 867, 703, 881, 880
5377, 608, 611, 879, 612
5378, 702, 594, 708, 866
5379, 326, 694, 709, 698
5380, 705, 332, 722, 720
5381, 874, 722, 712, 723
5382, 877, 866, 881, 878
5383, 726, 727, 609, 291
5384, 881, 666, 315, 663
5385, 866, 725, 719, 721
5386, 289, 606, 881, 290
5387, 141, 717, 332, 722
5388, 717, 705, 332, 722
5389, 93, 258, 695, 870
5390, 714, 872, 867, 715
5391, 726, 281, 117, 610
5392, 93, 870, 871, 256
5393, 281, 866, 612, 610
5394, 728, 718, 721, 878
5395, 315, 122, 701, 663
5396, 608, 245, 879, 611
5397, 666, 872, 662, 256
5398, 245, 90, 879, 89
5399, 716, 698, 709, 869
5400, 289, 664, 879, 881
5401, 866, 702, 881, 701
5402, 702, 606, 116, 612
5403, 90, 664, 246, 879
5404, 878, 877, 871, 880
5405, 872, 880, 871, 256
5406, 272, 702, 115, 594
5407, 698, 694, 709, 869
5408, 327, 694, 697, 709
5409, 716, 326, 709, 698
5410, 702, 606, 701, 286
5411, 664, 289, 663, 881
5412, 724, 726, 281, 117
5413, 724, 279, 594, 708
5414, 279, 724, 281, 117
5415, 724, 279, 708, 114
5416, 666, 703, 315, 314
5417, 125, 727, 609, 292
5418, 727, 125, 609, 291
5419, 876, 718, 721, 719
5420, 125, 328, 727, 292
5421, 336, 717, 141, 722
5422, 875, 728, 878, 869
5423, 713, 697, 870, 709
5424, 713, 872, 870, 543
5425, 724, 725, 334, 708
5426, 664, 90, 124, 89
5427, 702, 272, 708, 594
5428, 91, 871, 256, 93
5429, 543, 872, 870, 256
5430, 594, 281, 866, 612
5431, 702, 594, 866, 612
5432, 706, 702, 708, 866
5433, 724, 725, 708, 866
5434, 326, 716, 140, 698
5435, 609, 608, 877, 610
5436, 713, 543, 870, 697
5437, 606, 702, 881, 866
5438, 258, 543, 870, 256
5439, 140, 716, 723, 698
5440, 706, 704, 699, 866
5441, 331, 330, 700, 711
5442, 879, 877, 881, 880
5443, 606, 290, 116, 612
5444, 704, 876, 699, 866
5445, 704, 703, 699, 876
5446, 713, 543, 101, 251
5447, 327, 326, 694, 709
5448, 699, 866, 881, 701
5449, 251, 256, 710, 543
5450, 702, 866, 699, 701
5451, 872, 713, 710, 543
5452, 329, 140, 723, 698
5453, 703, 666, 881, 880
5454, 877, 866, 612, 881
5455, 875, 728, 721, 878
5456, 875, 727, 721, 728
5457, 666, 665, 663, 880
5458, 702, 706, 699, 866
5459, 327, 713, 697, 101
5460, 543, 258, 697, 101
5461, 664, 879, 881, 663
5462, 866, 876, 881, 878
5463, 878, 876, 881, 880
5464, 715, 709, 870, 868
5465, 873, 705, 722, 720
5466, 329, 728, 869, 723
5467, 707, 714, 867, 711
5468, 874, 728, 723, 869
5469, 728, 874, 723, 718
5470, 330, 714, 707, 711
5471, 872, 713, 870, 715
5472, 543, 258, 870, 697
5473, 873, 704, 705, 720
5474, 872, 666, 867, 880
5475, 873, 718, 720, 722
5476, 695, 694, 870, 697
5477, 704, 873, 700, 876
5478, 258, 695, 870, 697
5479, 867, 715, 868, 711
5480, 727, 328, 875, 292
5481, 872, 713, 715, 710
5482, 608, 92, 871, 245
5483, 881, 315, 701, 663
5484, 872, 715, 870, 868
5485, 290, 879, 612, 881
5486, 866, 876, 699, 881
5487, 867, 872, 880, 868
5488, 876, 703, 699, 881
5489, 606, 702, 701, 881
5490, 664, 665, 879, 663
5491, 704, 876, 719, 720
5492, 696, 869, 871, 870
5493, 92, 91, 93, 871
5494, 594, 279, 114, 708
5495, 608, 875, 292, 877
5496, 868, 878, 871, 880
5497, 335, 716, 712, 723
5498, 594, 702, 116, 612
5499, 702, 606, 115, 116
5500, 329, 328, 696, 728
5501, 609, 608, 292, 877
5502, 594, 702, 115, 116
5503, 875, 328, 696, 292
5504, 880, 879, 663, 881
5505, 875, 609, 292, 877
5506, 665, 879, 663, 880
5507, 91, 879, 880, 871
5508, 703, 881, 315, 701
5509, 875, 608, 871, 877
5510, 703, 699, 881, 701
5511, 872, 868, 870, 871
5512, 872, 543, 710, 256
5513, 868, 872, 880, 871
5514, 866, 877, 721, 878
5515, 868, 715, 712, 711
5516, 874, 873, 722, 718
5517, 873, 705, 717, 722
5518, 722, 335, 712, 723
5519, 717, 336, 712, 722
5520, 665, 91, 879, 880
5521, 726, 609, 877, 610
5522, 609, 726, 291, 610
5523, 718, 876, 720, 719
5524, 704, 706, 719, 866
5525, 728, 329, 869, 696
5526, 608, 877, 610, 612
5527, 873, 876, 868, 867
5528, 705, 331, 700, 711
5529, 714, 715, 867, 711
5530, 874, 728, 878, 718
5531, 330, 707, 700, 711
5532, 873, 705, 700, 711
5533, 543, 713, 710, 251
5534, 251, 256, 100, 710
5535, 714, 317, 662, 710
5536, 594, 724, 708, 866
5537, 666, 703, 707, 867
5538, 874, 868, 871, 870
5539, 874, 878, 871, 868
5540, 869, 874, 871, 870
5541, 714, 872, 662, 867
5542, 714, 317, 138, 662
5543, 707, 138, 314, 662
5544, 868, 712, 709, 874
5545, 868, 709, 712, 715
5546, 711, 705, 717, 873
5547, 711, 717, 705, 331
5548, 725, 877, 610, 726
5549, 610, 877, 725, 866
5550, 725, 610, 281, 726
5551, 281, 610, 725, 866
5552, 725, 281, 724, 726
5553, 724, 281, 725, 866
5554, 869, 712, 723, 874
5555, 869, 723, 712, 716
5556, 696, 871, 292, 695
5557, 696, 292, 871, 875
5558, 663, 701, 289, 122
5559, 663, 289, 701, 881
5560, 606, 289, 701, 122
5561, 606, 701, 289, 881
5562, 867, 662, 666, 872
5563, 867, 666, 662, 707
5564, 289, 664, 290, 879
5565, 289, 290, 664, 124
5566, 664, 611, 290, 879
5567, 89, 124, 611, 123
5568, 89, 611, 124, 664
5569, 290, 611, 124, 123
5570, 290, 124, 611, 664
5571, 748, 745, 344, 749
5572, 745, 748, 740, 749
5573, 661, 312, 732, 741
5574, 98, 345, 751, 99
5575, 337, 744, 202, 731
5576, 316, 661, 96, 741
5577, 751, 659, 255, 99
5578, 345, 747, 751, 99
5579, 734, 311, 660, 730
5580, 661, 737, 96, 741
5581, 743, 343, 143, 749
5582, 734, 659, 660, 311
5583, 659, 742, 732, 729
5584, 739, 745, 341, 746
5585, 312, 734, 311, 659
5586, 142, 733, 746, 338
5587, 201, 469, 41, 730
5588, 471, 469, 729, 470
5589, 742, 729, 738, 732
5590, 744, 731, 735, 729
5591, 257, 737, 255, 751
5592, 751, 98, 99, 255
5593, 45, 744, 748, 471
5594, 46, 209, 748, 470
5595, 248, 737, 96, 255
5596, 312, 135, 732, 741
5597, 209, 471, 748, 470
5598, 731, 744, 202, 469
5599, 345, 46, 748, 470
5600, 345, 747, 46, 470
5601, 731, 201, 469, 42
5602, 257, 98, 751, 255
5603, 97, 257, 737, 248
5604, 742, 737, 751, 255
5605, 745, 740, 743, 749
5606, 732, 340, 339, 738
5607, 659, 742, 751, 255
5608, 469, 207, 41, 730
5609, 661, 742, 255, 737
5610, 742, 659, 751, 748
5611, 742, 750, 751, 737
5612, 337, 744, 731, 735
5613, 744, 45, 748, 344
5614, 748, 659, 470, 729
5615, 311, 136, 660, 730
5616, 733, 732, 339, 738
5617, 742, 661, 255, 659
5618, 97, 736, 750, 343
5619, 747, 659, 751, 99
5620, 338, 733, 746, 735
5621, 745, 744, 748, 344
5622, 731, 337, 42, 202
5623, 471, 744, 748, 729
5624, 471, 748, 470, 729
5625, 744, 338, 746, 735
5626, 312, 734, 659, 732
5627, 257, 737, 248, 255
5628, 736, 97, 750, 737
5629, 733, 744, 746, 735
5630, 750, 736, 737, 742
5631, 729, 469, 730, 470
5632, 745, 743, 342, 749
5633, 742, 659, 748, 729
5634, 750, 742, 751, 748
5635, 661, 312, 659, 732
5636, 742, 340, 732, 738
5637, 661, 742, 737, 741
5638, 744, 745, 748, 740
5639, 750, 97, 257, 737
5640, 731, 469, 730, 729
5641, 45, 471, 748, 209
5642, 747, 137, 659, 99
5643, 469, 470, 207, 730
5644, 344, 745, 342, 749
5645, 729, 733, 738, 732
5646, 44, 470, 660, 207
5647, 661, 737, 255, 96
5648, 318, 44, 660, 207
5649, 740, 745, 743, 342
5650, 747, 137, 660, 659
5651, 661, 742, 732, 659
5652, 142, 739, 341, 746
5653, 744, 337, 338, 735
5654, 733, 744, 735, 729
5655, 207, 470, 660, 730
5656, 201, 731, 469, 730
5657, 341, 745, 740, 342
5658, 44, 137, 318, 660
5659, 734, 659, 732, 729
5660, 742, 729, 740, 738
5661, 45, 744, 471, 202
5662, 744, 471, 202, 469
5663, 744, 733, 746, 745
5664, 745, 739, 738, 746
5665, 739, 745, 738, 740
5666, 745, 739, 341, 740
5667, 736, 750, 343, 749
5668, 733, 745, 738, 746
5669, 742, 661, 732, 741
5670, 661, 135, 741, 316
5671, 135, 340, 732, 741
5672, 312, 661, 135, 741
5673, 340, 742, 732, 741
5674, 736, 343, 743, 749
5675, 740, 736, 743, 749
5676, 747, 46, 470, 44
5677, 731, 42, 469, 202
5678, 659, 747, 470, 660
5679, 750, 257, 751, 737
5680, 207, 136, 41, 730
5681, 470, 659, 751, 747
5682, 751, 659, 470, 748
5683, 751, 345, 470, 747
5684, 470, 345, 751, 748
5685, 749, 342, 143, 743
5686, 749, 143, 342, 344
5687, 660, 207, 136, 318
5688, 660, 136, 207, 730
5689, 729, 740, 748, 742
5690, 729, 748, 740, 744
5691, 660, 734, 470, 659
5692, 660, 470, 734, 730
5693, 729, 470, 734, 659
5694, 729, 734, 470, 730
5695, 44, 660, 747, 137
5696, 747, 660, 44, 470
5697, 142, 746, 339, 739
5698, 142, 339, 746, 733
5699, 738, 339, 746, 739
5700, 738, 746, 339, 733
5701, 738, 729, 744, 733
5702, 744, 729, 738, 740
5703, 744, 745, 738, 733
5704, 738, 745, 744, 740
5705, 744, 469, 729, 471
5706, 729, 469, 744, 731
5707, 749, 748, 742, 750
5708, 742, 748, 749, 740
5709, 742, 736, 749, 750
5710, 749, 736, 742, 740
5711, 754, 658, 752, 753
5712, 207, 44, 658, 318
5713, 318, 754, 136, 310
5714, 120, 658, 310, 753
5715, 463, 752, 464, 206
5716, 754, 752, 658, 463
5717, 754, 318, 658, 310
5718, 557, 752, 605, 104
5719, 120, 285, 605, 753
5720, 207, 463, 754, 658
5721, 557, 614, 206, 107
5722, 752, 463, 39, 206
5723, 126, 121, 605, 658
5724, 614, 126, 605, 658
5725, 103, 614, 102, 126
5726, 754, 207, 318, 136
5727, 41, 207, 754, 136
5728, 464, 605, 752, 658
5729, 464, 605, 658, 614
5730, 464, 605, 614, 557
5731, 752, 557, 464, 206
5732, 40, 614, 206, 464
5733, 614, 557, 206, 464
5734, 614, 40, 206, 107
5735, 605, 120, 753, 658
5736, 614, 40, 43, 464
5737, 127, 126, 464, 658
5738, 206, 557, 107, 267
5739, 557, 614, 103, 605
5740, 126, 127, 464, 43
5741, 103, 121, 605, 126
5742, 614, 103, 605, 126
5743, 126, 614, 43, 464
5744, 658, 754, 310, 753
5745, 103, 557, 605, 104
5746, 126, 614, 464, 658
5747, 463, 752, 658, 464
5748, 127, 44, 464, 43
5749, 463, 44, 658, 207
5750, 463, 41, 754, 39
5751, 44, 137, 658, 318
5752, 463, 41, 207, 754
5753, 207, 754, 318, 658
5754, 285, 752, 605, 753
5755, 557, 614, 102, 103
5756, 752, 285, 605, 104
5757, 120, 121, 658, 605
5758, 464, 605, 557, 752
5759, 614, 557, 102, 107
5760, 752, 106, 206, 39
5761, 752, 39, 463, 754
5762, 127, 44, 658, 464
5763, 44, 127, 658, 137
5764, 127, 121, 126, 658
5765, 463, 44, 464, 658
5766, 752, 605, 753, 658
5767, 557, 752, 267, 206
5768, 557, 267, 752, 104
5769, 106, 267, 752, 206
5770, 106, 752, 267, 104
5771, 539, 747, 345, 99
5772, 755, 130, 119, 756
5773, 472, 490, 47, 615
5774, 747, 539, 345, 756
5775, 490, 525, 68, 616
5776, 472, 490, 615, 616
5777, 472, 747, 44, 46
5778, 254, 237, 616, 293
5779, 472, 615, 47, 43
5780, 756, 539, 345, 94
5781, 525, 755, 524, 756
5782, 539, 98, 345, 94
5783, 747, 254, 539, 616
5784, 283, 119, 252, 756
5785, 71, 755, 69, 490
5786, 755, 283, 756, 119
5787, 240, 525, 69, 755
5788, 755, 525, 69, 490
5789, 747, 472, 616, 756
5790, 472, 51, 756, 46
5791, 525, 747, 616, 756
5792, 490, 67, 616, 68
5793, 539, 756, 252, 94
5794, 525, 240, 524, 755
5795, 525, 747, 539, 616
5796, 87, 237, 88, 293
5797, 237, 254, 88, 293
5798, 616, 127, 126, 43
5799, 67, 615, 616, 126
5800, 240, 283, 524, 755
5801, 472, 44, 616, 43
5802, 127, 747, 44, 616
5803, 747, 472, 756, 46
5804, 51, 71, 47, 472
5805, 525, 237, 68, 616
5806, 71, 472, 756, 490
5807, 67, 490, 616, 615
5808, 756, 119, 252, 94
5809, 71, 472, 490, 47
5810, 67, 74, 490, 615
5811, 747, 472, 44, 616
5812, 74, 71, 490, 47
5813, 283, 240, 524, 85
5814, 755, 71, 756, 490
5815, 254, 747, 539, 99
5816, 755, 71, 130, 756
5817, 747, 525, 539, 756
5818, 71, 51, 130, 756
5819, 254, 237, 88, 242
5820, 44, 127, 616, 43
5821, 755, 283, 524, 756
5822, 525, 490, 68, 69
5823, 98, 539, 345, 99
5824, 525, 755, 756, 490
5825, 86, 283, 524, 85
5826, 539, 525, 242, 524
5827, 242, 86, 252, 524
5828, 539, 525, 524, 756
5829, 51, 71, 472, 756
5830, 283, 756, 252, 524
5831, 756, 539, 252, 524
5832, 539, 242, 252, 524
5833, 254, 747, 99, 137
5834, 86, 283, 252, 524
5835, 615, 472, 616, 43
5836, 490, 74, 47, 615
5837, 747, 254, 127, 137
5838, 46, 747, 345, 756
5839, 747, 127, 44, 137
5840, 615, 616, 126, 43
5841, 254, 127, 616, 747
5842, 616, 127, 254, 293
5843, 756, 616, 490, 472
5844, 756, 490, 616, 525
5845, 242, 539, 616, 525
5846, 616, 539, 242, 254
5847, 616, 237, 242, 525
5848, 242, 237, 616, 254
5849, 757, 176, 4, 159
5850, 110, 52, 757, 554
5851, 410, 757, 278, 159
5852, 410, 24, 177, 589
5853, 410, 176, 5, 477
5854, 589, 110, 278, 757
5855, 589, 410, 757, 278
5856, 52, 213, 757, 554
5857, 410, 176, 477, 757
5858, 589, 110, 757, 554
5859, 589, 410, 5, 477
5860, 589, 64, 53, 5
5861, 20, 410, 278, 159
5862, 589, 5, 53, 477
5863, 477, 176, 4, 757
5864, 64, 589, 53, 554
5865, 177, 410, 278, 20
5866, 589, 64, 265, 554
5867, 589, 477, 53, 554
5868, 213, 477, 757, 554
5869, 589, 265, 110, 554
5870, 24, 410, 5, 589
5871, 64, 24, 5, 589
5872, 477, 213, 53, 554
5873, 410, 589, 757, 477
5874, 477, 589, 757, 554
5875, 213, 52, 757, 477
5876, 176, 410, 159, 757
5877, 410, 589, 177, 278
5878, 52, 477, 4, 757
5879, 882, 648, 304, 759
5880, 309, 882, 284, 131
5881, 94, 599, 253, 751
5882, 597, 599, 236, 515
5883, 344, 763, 749, 143
5884, 748, 882, 759, 473
5885, 599, 253, 751, 750
5886, 749, 346, 343, 143
5887, 761, 882, 759, 760
5888, 95, 97, 253, 750
5889, 94, 599, 751, 756
5890, 762, 763, 346, 758
5891, 77, 758, 762, 346
5892, 761, 231, 514, 515
5893, 597, 95, 758, 76
5894, 599, 882, 598, 235
5895, 882, 648, 309, 647
5896, 761, 231, 232, 514
5897, 598, 130, 119, 118
5898, 599, 761, 514, 515
5899, 597, 515, 236, 76
5900, 761, 763, 597, 750
5901, 515, 763, 761, 762
5902, 763, 597, 750, 758
5903, 599, 761, 750, 751
5904, 515, 763, 762, 758
5905, 598, 78, 235, 513
5906, 598, 130, 648, 756
5907, 94, 599, 756, 598
5908, 749, 346, 143, 763
5909, 515, 227, 76, 758
5910, 514, 599, 236, 235
5911, 343, 758, 749, 750
5912, 50, 648, 759, 304
5913, 598, 130, 118, 648
5914, 761, 599, 597, 515
5915, 882, 748, 756, 473
5916, 882, 598, 235, 513
5917, 94, 345, 751, 98
5918, 882, 761, 232, 514
5919, 597, 515, 76, 758
5920, 253, 94, 751, 98
5921, 748, 760, 473, 759
5922, 257, 253, 751, 98
5923, 760, 205, 473, 759
5924, 882, 514, 232, 513
5925, 882, 599, 514, 235
5926, 83, 882, 232, 513
5927, 748, 209, 473, 760
5928, 756, 748, 46, 473
5929, 882, 647, 83, 304
5930, 748, 882, 760, 759
5931, 51, 756, 46, 473
5932, 882, 748, 760, 761
5933, 345, 748, 46, 756
5934, 748, 209, 760, 45
5935, 309, 78, 284, 513
5936, 130, 648, 756, 51
5937, 284, 882, 118, 131
5938, 515, 763, 758, 597
5939, 95, 750, 597, 758
5940, 82, 309, 513, 78
5941, 759, 205, 473, 50
5942, 209, 205, 760, 45
5943, 648, 882, 473, 759
5944, 648, 882, 304, 647
5945, 749, 346, 763, 758
5946, 761, 882, 232, 759
5947, 210, 759, 473, 50
5948, 97, 343, 750, 758
5949, 748, 345, 751, 756
5950, 762, 227, 515, 758
5951, 763, 344, 749, 760
5952, 599, 882, 514, 761
5953, 761, 748, 750, 751
5954, 599, 882, 756, 598
5955, 97, 257, 253, 750
5956, 598, 882, 118, 284
5957, 599, 761, 597, 750
5958, 648, 882, 598, 756
5959, 762, 231, 515, 77
5960, 227, 762, 515, 77
5961, 762, 231, 761, 515
5962, 648, 882, 309, 131
5963, 515, 599, 236, 514
5964, 648, 131, 130, 118
5965, 257, 253, 750, 751
5966, 345, 94, 751, 756
5967, 647, 309, 513, 82
5968, 748, 209, 46, 473
5969, 756, 648, 473, 51
5970, 95, 597, 750, 253
5971, 515, 763, 597, 761
5972, 514, 882, 235, 513
5973, 647, 882, 513, 309
5974, 882, 309, 284, 513
5975, 648, 210, 473, 51
5976, 97, 95, 758, 750
5977, 882, 648, 473, 756
5978, 882, 83, 232, 304
5979, 882, 304, 232, 759
5980, 94, 598, 756, 119
5981, 598, 130, 756, 119
5982, 209, 205, 473, 760
5983, 344, 748, 760, 45
5984, 758, 763, 749, 750
5985, 344, 748, 749, 760
5986, 882, 648, 118, 131
5987, 83, 647, 513, 82
5988, 648, 882, 118, 598
5989, 882, 647, 513, 83
5990, 749, 346, 758, 343
5991, 77, 758, 227, 762
5992, 210, 648, 473, 759
5993, 50, 648, 210, 759
5994, 599, 597, 253, 750
5995, 513, 284, 598, 78
5996, 513, 598, 284, 882
5997, 756, 751, 882, 599
5998, 756, 882, 751, 748
5999, 761, 882, 751, 599
6000, 761, 751, 882, 748
6001, 761, 760, 750, 748
6002, 761, 750, 760, 763
6003, 749, 750, 760, 748
6004, 749, 760, 750, 763
6005, 299, 300, 774, 639
6006, 560, 267, 766, 206
6007, 144, 772, 350, 770
6008, 770, 772, 767, 348
6009, 467, 765, 465, 466
6010, 558, 111, 771, 264
6011, 641, 559, 268, 639
6012, 640, 299, 773, 774
6013, 772, 774, 767, 348
6014, 467, 641, 107, 40
6015, 300, 772, 642, 129
6016, 640, 467, 641, 764
6017, 559, 768, 766, 561
6018, 559, 768, 561, 558
6019, 769, 774, 639, 764
6020, 559, 467, 766, 641
6021, 769, 642, 558, 639
6022, 766, 39, 466, 206
6023, 144, 770, 767, 348
6024, 769, 772, 774, 767
6025, 49, 640, 773, 468
6026, 49, 208, 640, 468
6027, 144, 772, 770, 348
6028, 772, 769, 770, 767
6029, 347, 769, 767, 770
6030, 768, 559, 764, 639
6031, 774, 769, 767, 764
6032, 640, 773, 764, 774
6033, 560, 766, 106, 260
6034, 144, 347, 767, 770
6035, 641, 467, 766, 764
6036, 467, 765, 468, 465
6037, 765, 39, 466, 766
6038, 774, 640, 639, 764
6039, 769, 772, 639, 774
6040, 559, 768, 558, 639
6041, 640, 467, 764, 468
6042, 640, 641, 639, 764
6043, 467, 559, 560, 107
6044, 559, 268, 639, 558
6045, 208, 467, 48, 641
6046, 765, 467, 764, 766
6047, 467, 765, 764, 468
6048, 772, 769, 639, 642
6049, 773, 640, 764, 468
6050, 765, 773, 764, 468
6051, 768, 769, 767, 347
6052, 560, 467, 107, 206
6053, 267, 766, 206, 106
6054, 467, 766, 466, 206
6055, 467, 559, 766, 560
6056, 467, 559, 107, 641
6057, 199, 765, 465, 38
6058, 267, 560, 107, 206
6059, 772, 769, 350, 770
6060, 299, 49, 640, 773
6061, 559, 768, 764, 766
6062, 641, 559, 764, 766
6063, 766, 39, 206, 106
6064, 769, 768, 767, 764
6065, 768, 105, 558, 264
6066, 768, 769, 639, 764
6067, 349, 773, 774, 764
6068, 267, 560, 766, 106
6069, 769, 558, 771, 264
6070, 773, 49, 468, 203
6071, 640, 299, 774, 639
6072, 773, 349, 203, 465
6073, 641, 467, 48, 40
6074, 105, 768, 347, 264
6075, 769, 642, 771, 558
6076, 768, 769, 558, 639
6077, 300, 772, 774, 639
6078, 349, 765, 773, 764
6079, 774, 349, 764, 348
6080, 559, 641, 764, 639
6081, 642, 268, 771, 558
6082, 772, 300, 642, 639
6083, 769, 768, 558, 264
6084, 768, 769, 347, 264
6085, 768, 259, 260, 561
6086, 111, 268, 771, 642
6087, 467, 560, 766, 206
6088, 208, 640, 467, 641
6089, 768, 259, 561, 558
6090, 642, 769, 771, 298
6091, 268, 111, 771, 558
6092, 641, 559, 107, 112
6093, 767, 774, 764, 348
6094, 766, 560, 561, 260
6095, 765, 349, 773, 465
6096, 560, 559, 766, 561
6097, 765, 39, 199, 466
6098, 769, 772, 350, 129
6099, 268, 642, 639, 558
6100, 772, 769, 642, 129
6101, 111, 642, 771, 298
6102, 766, 768, 260, 561
6103, 467, 765, 466, 766
6104, 641, 559, 112, 268
6105, 768, 105, 259, 558
6106, 467, 40, 107, 206
6107, 641, 40, 48, 107
6108, 773, 468, 465, 203
6109, 112, 641, 48, 107
6110, 765, 199, 465, 466
6111, 769, 642, 129, 298
6112, 640, 208, 467, 468
6113, 773, 765, 465, 468
6114, 465, 349, 38, 765
6115, 465, 38, 349, 203
6116, 36, 196, 16, 404
6117, 781, 170, 3, 216
6118, 650, 132, 134, 783
6119, 776, 400, 778, 777
6120, 786, 356, 784, 783
6121, 400, 776, 156, 777
6122, 13, 782, 401, 402
6123, 650, 786, 403, 783
6124, 787, 354, 305, 779
6125, 775, 784, 146, 36
6126, 56, 781, 3, 216
6127, 785, 352, 777, 351
6128, 785, 786, 351, 777
6129, 776, 787, 352, 777
6130, 651, 785, 405, 403
6131, 786, 650, 134, 783
6132, 783, 650, 402, 403
6133, 782, 37, 402, 17
6134, 786, 775, 351, 777
6135, 196, 171, 16, 404
6136, 775, 155, 777, 403
6137, 155, 400, 777, 403
6138, 783, 404, 403, 402
6139, 155, 775, 404, 403
6140, 400, 157, 778, 780
6141, 787, 776, 352, 145
6142, 132, 355, 650, 782
6143, 649, 781, 779, 294
6144, 651, 785, 306, 305
6145, 649, 56, 216, 781
6146, 405, 785, 777, 403
6147, 787, 785, 352, 777
6148, 649, 56, 781, 294
6149, 158, 157, 405, 780
6150, 354, 305, 779, 133
6151, 57, 72, 401, 7
6152, 72, 132, 650, 782
6153, 650, 403, 401, 402
6154, 170, 57, 401, 7
6155, 156, 400, 777, 155
6156, 651, 406, 781, 216
6157, 651, 650, 403, 401
6158, 651, 650, 306, 403
6159, 649, 651, 781, 216
6160, 775, 196, 36, 404
6161, 406, 651, 405, 401
6162, 775, 784, 404, 403
6163, 782, 650, 401, 402
6164, 786, 785, 306, 403
6165, 779, 649, 294, 133
6166, 305, 649, 779, 133
6167, 57, 651, 216, 401
6168, 786, 650, 306, 134
6169, 171, 37, 17, 402
6170, 196, 171, 404, 402
6171, 776, 787, 778, 145
6172, 784, 196, 404, 783
6173, 170, 406, 401, 216
6174, 171, 196, 37, 402
6175, 400, 776, 778, 157
6176, 786, 785, 403, 777
6177, 650, 786, 306, 403
6178, 400, 405, 777, 403
6179, 155, 775, 16, 404
6180, 406, 651, 781, 405
6181, 170, 57, 216, 401
6182, 406, 170, 3, 781
6183, 72, 57, 401, 650
6184, 649, 651, 779, 781
6185, 782, 17, 402, 13
6186, 651, 649, 779, 305
6187, 786, 356, 783, 134
6188, 405, 651, 403, 401
6189, 158, 406, 3, 781
6190, 775, 196, 404, 784
6191, 783, 196, 404, 402
6192, 406, 651, 401, 216
6193, 355, 132, 650, 783
6194, 775, 786, 403, 777
6195, 787, 785, 779, 305
6196, 775, 36, 16, 404
6197, 196, 775, 36, 784
6198, 354, 787, 778, 779
6199, 400, 776, 157, 2
6200, 72, 13, 401, 7
6201, 157, 400, 405, 780
6202, 157, 776, 353, 2
6203, 400, 776, 2, 156
6204, 787, 354, 778, 145
6205, 353, 776, 778, 145
6206, 785, 651, 779, 305
6207, 355, 37, 783, 402
6208, 785, 651, 306, 403
6209, 170, 406, 216, 781
6210, 72, 782, 401, 13
6211, 37, 355, 782, 402
6212, 785, 651, 405, 779
6213, 784, 783, 404, 403
6214, 776, 157, 353, 778
6215, 37, 196, 783, 402
6216, 72, 650, 401, 782
6217, 57, 651, 401, 650
6218, 786, 784, 351, 775
6219, 786, 351, 784, 356
6220, 146, 351, 784, 775
6221, 146, 784, 351, 356
6222, 781, 405, 158, 406
6223, 781, 158, 405, 780
6224, 777, 400, 780, 405
6225, 780, 400, 777, 778
6226, 777, 787, 778, 776
6227, 403, 784, 786, 775
6228, 403, 786, 784, 783
6229, 402, 355, 650, 783
6230, 402, 650, 355, 782
6231, 779, 405, 781, 651
6232, 779, 781, 405, 780
6233, 777, 778, 779, 780
6234, 777, 405, 779, 785
6235, 779, 405, 777, 780
6236, 779, 777, 787, 778
6237, 787, 777, 779, 785
6238, 37, 355, 446, 789
6239, 784, 791, 783, 356
6240, 357, 226, 788, 510
6241, 446, 784, 511, 783
6242, 78, 600, 511, 284
6243, 510, 784, 511, 445
6244, 791, 646, 307, 509
6245, 645, 82, 81, 509
6246, 510, 784, 790, 791
6247, 446, 195, 511, 445
6248, 784, 791, 356, 790
6249, 132, 308, 646, 789
6250, 646, 644, 307, 509
6251, 195, 34, 446, 511
6252, 446, 34, 600, 511
6253, 791, 234, 511, 509
6254, 789, 646, 783, 511
6255, 646, 791, 307, 134
6256, 195, 510, 445, 33
6257, 33, 510, 445, 788
6258, 446, 355, 783, 789
6259, 789, 446, 600, 511
6260, 355, 132, 646, 789
6261, 132, 355, 646, 783
6262, 644, 307, 509, 645
6263, 645, 307, 509, 81
6264, 357, 80, 510, 790
6265, 355, 37, 446, 783
6266, 234, 791, 510, 790
6267, 644, 308, 282, 789
6268, 509, 78, 511, 284
6269, 644, 308, 789, 646
6270, 446, 37, 789, 25
6271, 34, 600, 511, 78
6272, 646, 644, 511, 789
6273, 789, 446, 25, 600
6274, 446, 784, 196, 445
6275, 195, 510, 511, 445
6276, 186, 33, 445, 788
6277, 36, 784, 788, 445
6278, 81, 307, 509, 234
6279, 146, 784, 788, 36
6280, 644, 789, 600, 511
6281, 446, 37, 196, 783
6282, 784, 36, 196, 445
6283, 357, 510, 788, 790
6284, 80, 357, 510, 226
6285, 510, 80, 234, 790
6286, 307, 791, 509, 234
6287, 234, 510, 791, 511
6288, 82, 309, 509, 645
6289, 226, 510, 33, 788
6290, 791, 646, 509, 511
6291, 784, 446, 511, 445
6292, 791, 134, 783, 356
6293, 446, 789, 783, 511
6294, 309, 82, 509, 78
6295, 186, 36, 788, 445
6296, 646, 791, 783, 511
6297, 784, 791, 511, 783
6298, 644, 789, 282, 600
6299, 309, 644, 509, 645
6300, 784, 510, 788, 445
6301, 784, 446, 196, 783
6302, 132, 646, 134, 783
6303, 644, 131, 309, 284
6304, 510, 784, 788, 790
6305, 644, 646, 511, 509
6306, 600, 644, 511, 284
6307, 646, 791, 134, 783
6308, 355, 646, 783, 789
6309, 446, 34, 25, 600
6310, 282, 644, 600, 284
6311, 282, 789, 25, 600
6312, 784, 510, 511, 791
6313, 644, 509, 511, 284
6314, 284, 509, 309, 644
6315, 284, 309, 509, 78
6316, 282, 284, 308, 644
6317, 282, 308, 284, 118
6318, 131, 308, 284, 644
6319, 131, 284, 308, 118
6320, 790, 784, 357, 356
6321, 790, 357, 784, 788
6322, 146, 357, 784, 356
6323, 146, 784, 357, 788
6324, 792, 234, 79, 80
6325, 146, 356, 351, 793
6326, 798, 796, 362, 638
6327, 883, 799, 800, 302
6328, 360, 793, 800, 359
6329, 796, 305, 787, 354
6330, 786, 637, 306, 883
6331, 790, 234, 792, 80
6332, 307, 637, 797, 303
6333, 145, 787, 794, 352
6334, 786, 356, 791, 793
6335, 796, 295, 362, 638
6336, 793, 790, 792, 357
6337, 798, 796, 147, 362
6338, 301, 798, 128, 638
6339, 800, 637, 797, 791
6340, 356, 786, 351, 793
6341, 796, 133, 638, 305
6342, 787, 795, 794, 352
6343, 637, 307, 797, 791
6344, 785, 795, 787, 352
6345, 793, 800, 797, 791
6346, 303, 637, 800, 302
6347, 792, 233, 797, 79
6348, 637, 883, 800, 302
6349, 790, 234, 797, 792
6350, 799, 883, 798, 636
6351, 786, 883, 306, 785
6352, 786, 793, 883, 795
6353, 790, 792, 357, 80
6354, 301, 799, 798, 636
6355, 796, 305, 638, 883
6356, 798, 301, 636, 638
6357, 883, 785, 795, 787
6358, 133, 796, 638, 295
6359, 786, 637, 134, 306
6360, 796, 798, 147, 794
6361, 786, 637, 883, 791
6362, 796, 883, 794, 787
6363, 796, 133, 305, 354
6364, 883, 637, 306, 636
6365, 883, 637, 800, 791
6366, 798, 883, 638, 636
6367, 883, 305, 638, 636
6368, 301, 799, 636, 302
6369, 361, 799, 795, 883
6370, 81, 234, 233, 797
6371, 303, 81, 84, 797
6372, 786, 356, 134, 791
6373, 799, 361, 795, 360
6374, 234, 233, 797, 792
6375, 358, 796, 147, 794
6376, 81, 233, 84, 797
6377, 307, 234, 797, 791
6378, 307, 81, 303, 797
6379, 357, 356, 146, 793
6380, 796, 354, 787, 794
6381, 356, 793, 790, 791
6382, 883, 796, 794, 798
6383, 793, 883, 800, 791
6384, 883, 361, 794, 795
6385, 785, 351, 795, 352
6386, 883, 799, 798, 794
6387, 799, 361, 798, 794
6388, 307, 637, 134, 791
6389, 793, 786, 883, 791
6390, 128, 798, 362, 638
6391, 295, 128, 362, 638
6392, 305, 796, 787, 883
6393, 234, 790, 797, 791
6394, 793, 790, 797, 792
6395, 303, 637, 797, 800
6396, 637, 786, 134, 791
6397, 357, 356, 793, 790
6398, 361, 799, 883, 794
6399, 883, 637, 636, 302
6400, 883, 795, 794, 787
6401, 799, 883, 636, 302
6402, 786, 351, 793, 795
6403, 883, 799, 795, 360
6404, 234, 81, 307, 797
6405, 790, 793, 797, 791
6406, 793, 883, 795, 360
6407, 800, 793, 797, 359
6408, 883, 793, 800, 360
6409, 799, 883, 800, 360
6410, 305, 883, 787, 785
6411, 233, 234, 79, 792
6412, 793, 792, 797, 359
6413, 305, 883, 306, 636
6414, 883, 305, 306, 785
6415, 798, 361, 147, 794
6416, 796, 883, 638, 798
6417, 796, 358, 354, 794
6418, 792, 797, 359, 79
6419, 786, 795, 785, 351
6420, 785, 795, 786, 883
6421, 794, 354, 145, 358
6422, 794, 145, 354, 787
6423, 643, 130, 755, 71
6424, 69, 755, 518, 240
6425, 782, 643, 132, 789
6426, 596, 119, 755, 308
6427, 643, 782, 132, 72
6428, 119, 596, 755, 283
6429, 596, 755, 518, 789
6430, 596, 85, 518, 240
6431, 782, 37, 789, 355
6432, 282, 596, 789, 308
6433, 283, 596, 755, 240
6434, 85, 596, 518, 26
6435, 119, 118, 130, 308
6436, 596, 25, 518, 26
6437, 755, 643, 518, 789
6438, 130, 643, 755, 308
6439, 69, 643, 755, 71
6440, 596, 283, 85, 240
6441, 118, 596, 282, 308
6442, 25, 18, 518, 26
6443, 119, 130, 755, 308
6444, 69, 14, 518, 13
6445, 782, 643, 13, 72
6446, 355, 782, 132, 789
6447, 596, 282, 789, 25
6448, 643, 308, 132, 789
6449, 37, 25, 518, 789
6450, 69, 643, 71, 72
6451, 37, 18, 518, 25
6452, 118, 596, 308, 119
6453, 69, 643, 13, 518
6454, 130, 118, 131, 308
6455, 643, 782, 13, 518
6456, 643, 69, 13, 72
6457, 643, 782, 518, 789
6458, 37, 782, 789, 518
6459, 643, 69, 755, 518
6460, 17, 18, 13, 782
6461, 755, 596, 518, 240
6462, 25, 596, 518, 789
6463, 13, 518, 18, 14
6464, 13, 18, 518, 782
6465, 18, 37, 782, 17
6466, 18, 782, 37, 518
6467, 789, 755, 308, 596
6468, 789, 308, 755, 643
*Elset, elset=GRAIN-1
2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615
2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624
2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633
2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642
2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651
2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660
2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669
2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678
2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687
2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696
2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705
2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714
2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723
2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732
2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741
2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750
2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759
2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768
2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777
2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786
2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795
2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804
2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813
2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822
2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831
2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840
2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849
2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858
2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867
2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876
2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885
2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894
2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903
2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912
2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921
2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930
2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939
2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948
2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957
2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966
2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975
2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984
2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993
2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002
3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011
3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020
3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029
3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038
3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047
3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056
3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065
3066, 3067
*Elset, elset=GRAIN-2
3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076
3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085
3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094
3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103
3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112
3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121
3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130
3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139
3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148
3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157
3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166
3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175
3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184
3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193
3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202
3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211
3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220
3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229
3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238
3239, 3240, 3241, 3242
*Elset, elset=GRAIN-3
3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251
3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260
3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269
3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278
3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287
3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296
3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305
3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314
3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323
3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332
3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341
3342, 3343, 3344
*Elset, elset=GRAIN-4
3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353
3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362
3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371
3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380
3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389
3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398
3399, 3400, 3401, 3402
*Elset, elset=GRAIN-5
3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411
3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420
3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429
3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438
3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447
3448, 3449, 3450, 3451, 3452, 3453
*Elset, elset=GRAIN-6
3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462
3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471
3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480
3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489
3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498
3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507
3508, 3509, 3510
*Elset, elset=GRAIN-7
3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519
3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528
3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537
3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546
3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555
3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564
3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573
3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582
3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591
3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600
3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609
3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618
3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627
3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636
3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645
3646, 3647, 3648
*Elset, elset=GRAIN-8
3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657
3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666
3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675
3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684
3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693
3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702
3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711
3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720
3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729
3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738
3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747
3748
*Elset, elset=GRAIN-9
3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757
3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766
3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775
3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784
3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793
3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802
3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811
3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820
3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829
3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838
3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847
3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856
3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865
3866, 3867, 3868
*Elset, elset=GRAIN-10
3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877
3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886
3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895
3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904
3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913
3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922
3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931
3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940
3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949
3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958
3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967
3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976
3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985
3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994
3995, 3996, 3997, 3998, 3999, 4000, 4001
*Elset, elset=GRAIN-11
4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010
4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019
4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028
4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037
4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046
4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055
4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064
4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073
4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082
4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091
4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100
4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109
4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118
4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127
4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136
4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145
4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154
4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163
4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172
4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181
4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190
4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199
4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208
4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217
4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226
4227, 4228, 4229
*Elset, elset=GRAIN-12
4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238
4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247
4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256
4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265
4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274
4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283
4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292
4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301
4302, 4303, 4304
*Elset, elset=GRAIN-13
4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313
4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322
4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331
4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340
4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349
4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357
*Elset, elset=GRAIN-14
4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366
4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375
4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384
4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393
4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402
4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411
4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420
4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429
4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438
4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446
*Elset, elset=GRAIN-15
4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455
4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464
4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472
*Elset, elset=GRAIN-16
4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481
4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490
4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499
4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508
4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517
4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526
4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535
4536, 4537, 4538, 4539
*Elset, elset=GRAIN-17
4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548
4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557
4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566
4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575
4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584
4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593
4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602
4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611
4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620
4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629
4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638
4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647
4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656
4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665
4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674
4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683
4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692
4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701
4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710
4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719
4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728
4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737
4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746
4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755
4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764
4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773
4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782
4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791
4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799
*Elset, elset=GRAIN-18
4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808
4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817
4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826
4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835
4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844
4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853
4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862
4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871
4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880
4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889
4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898
4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907
4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916
4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925
4926, 4927, 4928, 4929, 4930
*Elset, elset=GRAIN-19
4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939
4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948
4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957
4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966
4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975
4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984
4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993
4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002
5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011
5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020
5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029
5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038
5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047
5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056
5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065
5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074
5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083
5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092
5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101
5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110
5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119
5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128
5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137
5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146
5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155
5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164
5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173
5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182
5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191
5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200
5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209
5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218
5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227
5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236
5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245
5246, 5247
*Elset, elset=GRAIN-20
5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256
5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265
5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274
5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283
5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292
5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301
5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310
5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319
5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328
5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337
5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346
5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355
5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364
5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373
5374, 5375, 5376, 5377, 5378, 5379, 5380, 5381, 5382
5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391
5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400
5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409
5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418
5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427
5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436
5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445
5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454
5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463
5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472
5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481
5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490
5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499
5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508
5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517
5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526
5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535
5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544
5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553
5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562
5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570
*Elset, elset=GRAIN-21
5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579
5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588
5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597
5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606
5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615
5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624
5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633
5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642
5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651
5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660
5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669
5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678
5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687
5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696
5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705
5706, 5707, 5708, 5709, 5710
*Elset, elset=GRAIN-22
5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719
5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728
5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737
5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746
5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755
5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764
5765, 5766, 5767, 5768, 5769, 5770
*Elset, elset=GRAIN-23
5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779
5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788
5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797
5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806
5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815
5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824
5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833
5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842
5843, 5844, 5845, 5846, 5847, 5848
*Elset, elset=GRAIN-24
5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857
5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866
5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875
5876, 5877, 5878
*Elset, elset=GRAIN-25
5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887
5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896
5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905
5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914
5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923
5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932
5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941
5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950
5951, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959
5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968
5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977
5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986
5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995
5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004
*Elset, elset=GRAIN-26
6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013
6014, 6015, 6016, 6017, 6018, 6019, 6020, 6021, 6022
6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6031
6032, 6033, 6034, 6035, 6036, 6037, 6038, 6039, 6040
6041, 6042, 6043, 6044, 6045, 6046, 6047, 6048, 6049
6050, 6051, 6052, 6053, 6054, 6055, 6056, 6057, 6058
6059, 6060, 6061, 6062, 6063, 6064, 6065, 6066, 6067
6068, 6069, 6070, 6071, 6072, 6073, 6074, 6075, 6076
6077, 6078, 6079, 6080, 6081, 6082, 6083, 6084, 6085
6086, 6087, 6088, 6089, 6090, 6091, 6092, 6093, 6094
6095, 6096, 6097, 6098, 6099, 6100, 6101, 6102, 6103
6104, 6105, 6106, 6107, 6108, 6109, 6110, 6111, 6112
6113, 6114, 6115
*Elset, elset=GRAIN-27
6116, 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124
6125, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133
6134, 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142
6143, 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151
6152, 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160
6161, 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169
6170, 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178
6179, 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187
6188, 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196
6197, 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205
6206, 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214
6215, 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223
6224, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232
6233, 6234, 6235, 6236, 6237
*Elset, elset=GRAIN-28
6238, 6239, 6240, 6241, 6242, 6243, 6244, 6245, 6246
6247, 6248, 6249, 6250, 6251, 6252, 6253, 6254, 6255
6256, 6257, 6258, 6259, 6260, 6261, 6262, 6263, 6264
6265, 6266, 6267, 6268, 6269, 6270, 6271, 6272, 6273
6274, 6275, 6276, 6277, 6278, 6279, 6280, 6281, 6282
6283, 6284, 6285, 6286, 6287, 6288, 6289, 6290, 6291
6292, 6293, 6294, 6295, 6296, 6297, 6298, 6299, 6300
6301, 6302, 6303, 6304, 6305, 6306, 6307, 6308, 6309
6310, 6311, 6312, 6313, 6314, 6315, 6316, 6317, 6318
6319, 6320, 6321, 6322, 6323
*Elset, elset=GRAIN-29
6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332
6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341
6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350
6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359
6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368
6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377
6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386
6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395
6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404
6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413
6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422
*Elset, elset=GRAIN-30
6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431
6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440
6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449
6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458
6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467
6468
*Elset, elset=Phase-1
2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615
2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624
2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633
2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642
2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651
2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660
2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669
2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678
2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687
2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696
2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705
2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714
2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723
2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732
2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741
2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750
2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759
2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768
2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777
2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786
2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795
2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804
2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813
2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822
2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831
2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840
2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849
2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858
2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867
2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876
2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885
2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894
2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903
2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912
2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921
2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930
2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939
2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948
2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957
2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966
2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975
2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984
2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993
2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002
3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011
3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020
3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029
3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038
3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047
3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056
3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065
3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074
3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083
3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092
3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101
3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110
3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119
3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128
3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137
3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146
3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155
3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164
3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173
3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182
3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191
3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200
3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209
3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218
3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227
3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236
3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245
3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254
3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263
3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272
3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281
3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290
3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299
3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308
3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317
3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326
3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335
3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344
3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353
3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362
3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371
3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380
3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389
3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398
3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407
3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416
3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425
3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434
3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443
3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452
3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461
3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470
3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479
3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488
3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497
3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506
3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515
3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524
3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533
3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542
3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551
3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560
3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569
3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578
3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587
3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596
3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605
3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614
3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623
3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632
3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641
3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650
3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659
3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668
3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677
3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686
3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695
3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704
3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713
3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722
3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731
3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740
3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749
3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758
3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767
3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776
3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785
3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794
3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803
3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812
3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821
3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830
3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839
3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848
3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857
3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866
3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875
3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884
3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893
3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902
3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911
3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920
3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929
3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938
3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947
3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956
3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965
3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974
3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983
3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992
3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001
4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010
4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019
4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028
4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037
4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046
4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055
4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064
4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073
4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082
4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091
4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100
4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109
4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118
4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127
4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136
4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145
4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154
4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163
4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172
4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181
4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190
4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199
4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208
4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217
4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226
4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235
4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244
4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253
4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262
4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271
4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280
4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289
4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298
4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307
4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316
4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325
4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334
4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343
4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352
4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361
4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370
4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379
4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388
4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397
4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406
4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415
4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424
4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433
4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442
4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451
4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460
4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469
4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478
4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487
4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496
4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505
4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514
4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523
4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532
4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541
4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550
4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559
4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568
4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577
4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586
4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595
4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604
4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613
4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622
4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631
4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640
4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649
4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658
4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667
4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676
4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685
4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694
4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703
4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712
4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721
4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730
4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739
4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748
4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757
4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766
4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775
4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784
4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793
4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802
4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811
4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820
4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829
4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838
4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847
4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856
4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865
4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874
4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883
4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892
4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901
4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910
4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919
4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928
4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937
4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946
4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955
4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964
4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973
4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982
4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991
4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000
5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009
5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018
5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027
5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036
5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045
5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054
5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063
5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072
5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081
5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090
5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099
5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108
5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117
5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126
5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135
5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144
5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153
5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162
5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171
5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180
5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189
5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198
5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207
5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216
5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225
5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234
5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243
5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252
5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261
5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270
5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279
5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288
5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297
5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306
5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315
5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324
5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333
5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342
5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351
5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360
5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369
5370, 5371, 5372, 5373, 5374, 5375, 5376, 5377, 5378
5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387
5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396
5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405
5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414
5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423
5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432
5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441
5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450
5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459
5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468
5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477
5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486
5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495
5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504
5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513
5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522
5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531
5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540
5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549
5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558
5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567
5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576
5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585
5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594
5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603
5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612
5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621
5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630
5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639
5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648
5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657
5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666
5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675
5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684
5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693
5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702
5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711
5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720
5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729
5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738
5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747
5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756
5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765
5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774
5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783
5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792
5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801
5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810
5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819
5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828
5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837
5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846
5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855
5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864
5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873
5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882
5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891
5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900
5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909
5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918
5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927
5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936
5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945
5946, 5947, 5948, 5949, 5950, 5951, 5952, 5953, 5954
5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963
5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972
5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981
5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990
5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999
6000, 6001, 6002, 6003, 6004, 6005, 6006, 6007, 6008
6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017
6018, 6019, 6020, 6021, 6022, 6023, 6024, 6025, 6026
6027, 6028, 6029, 6030, 6031, 6032, 6033, 6034, 6035
6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044
6045, 6046, 6047, 6048, 6049, 6050, 6051, 6052, 6053
6054, 6055, 6056, 6057, 6058, 6059, 6060, 6061, 6062
6063, 6064, 6065, 6066, 6067, 6068, 6069, 6070, 6071
6072, 6073, 6074, 6075, 6076, 6077, 6078, 6079, 6080
6081, 6082, 6083, 6084, 6085, 6086, 6087, 6088, 6089
6090, 6091, 6092, 6093, 6094, 6095, 6096, 6097, 6098
6099, 6100, 6101, 6102, 6103, 6104, 6105, 6106, 6107
6108, 6109, 6110, 6111, 6112, 6113, 6114, 6115, 6116
6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124, 6125
6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133, 6134
6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142, 6143
6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151, 6152
6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160, 6161
6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169, 6170
6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178, 6179
6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187, 6188
6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196, 6197
6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205, 6206
6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214, 6215
6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223, 6224
6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232, 6233
6234, 6235, 6236, 6237, 6238, 6239, 6240, 6241, 6242
6243, 6244, 6245, 6246, 6247, 6248, 6249, 6250, 6251
6252, 6253, 6254, 6255, 6256, 6257, 6258, 6259, 6260
6261, 6262, 6263, 6264, 6265, 6266, 6267, 6268, 6269
6270, 6271, 6272, 6273, 6274, 6275, 6276, 6277, 6278
6279, 6280, 6281, 6282, 6283, 6284, 6285, 6286, 6287
6288, 6289, 6290, 6291, 6292, 6293, 6294, 6295, 6296
6297, 6298, 6299, 6300, 6301, 6302, 6303, 6304, 6305
6306, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6314
6315, 6316, 6317, 6318, 6319, 6320, 6321, 6322, 6323
6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332
6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341
6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350
6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359
6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368
6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377
6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386
6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395
6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404
6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413
6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422
6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431
6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440
6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449
6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458
6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467
6468
**Section: Section_Grain-1
*Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1
,
**Section: Section_Grain-2
*Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2
,
**Section: Section_Grain-3
*Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3
,
**Section: Section_Grain-4
*Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4
,
**Section: Section_Grain-5
*Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5
,
**Section: Section_Grain-6
*Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6
,
**Section: Section_Grain-7
*Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7
,
**Section: Section_Grain-8
*Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8
,
**Section: Section_Grain-9
*Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9
,
**Section: Section_Grain-10
*Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10
,
**Section: Section_Grain-11
*Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11
,
**Section: Section_Grain-12
*Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12
,
**Section: Section_Grain-13
*Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13
,
**Section: Section_Grain-14
*Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14
,
**Section: Section_Grain-15
*Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15
,
**Section: Section_Grain-16
*Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16
,
**Section: Section_Grain-17
*Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17
,
**Section: Section_Grain-18
*Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18
,
**Section: Section_Grain-19
*Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19
,
**Section: Section_Grain-20
*Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20
,
**Section: Section_Grain-21
*Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21
,
**Section: Section_Grain-22
*Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22
,
**Section: Section_Grain-23
*Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23
,
**Section: Section_Grain-24
*Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24
,
**Section: Section_Grain-25
*Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25
,
**Section: Section_Grain-26
*Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26
,
**Section: Section_Grain-27
*Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27
,
**Section: Section_Grain-28
*Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28
,
**Section: Section_Grain-29
*Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29
,
**Section: Section_Grain-30
*Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30
,
*End Part
**
**ASSEMBLY
**
*Assembly, name=Assembly
**
*Instance, name=NEPER-1, part=NEPER
*NODE
1, 0.000000e+00, 1.000000e+00, 0.000000e+00
2, 0.000000e+00, 1.000000e+00, 4.386705e-01
3, 4.221610e-01, 1.000000e+00, 4.807216e-01
4, 5.268863e-01, 1.000000e+00, 3.942699e-01
5, 5.638708e-01, 8.130270e-01, 3.933024e-01
6, 5.519767e-01, 5.750683e-01, 3.573443e-01
7, 4.464926e-01, 7.426254e-01, 5.013309e-01
8, 5.278840e-01, 5.905412e-01, 4.013663e-01
9, 5.247122e-01, 7.282543e-01, 4.390321e-01
10, 0.000000e+00, 4.230034e-01, 0.000000e+00
11, 4.777264e-01, 4.480484e-01, 2.819534e-01
12, 5.184787e-01, 4.877615e-01, 0.000000e+00
13, 3.949373e-01, 6.087350e-01, 5.056559e-01
14, 4.255564e-01, 5.580808e-01, 4.697305e-01
15, 0.000000e+00, 3.892096e-01, 2.752002e-01
16, 0.000000e+00, 5.276046e-01, 4.720491e-01
17, 2.670109e-01, 5.147846e-01, 4.995517e-01
18, 3.435122e-01, 4.728930e-01, 4.530705e-01
19, 3.527125e-01, 4.203970e-01, 3.799779e-01
20, 6.146030e-01, 1.000000e+00, 2.488160e-01
21, 5.974488e-01, 1.000000e+00, 0.000000e+00
22, 6.259483e-01, 6.614843e-01, 0.000000e+00
23, 6.389716e-01, 7.049943e-01, 2.420315e-01
24, 6.322516e-01, 8.152473e-01, 2.791949e-01
25, 3.116367e-01, 3.810717e-01, 6.370431e-01
26, 4.037323e-01, 3.526868e-01, 5.478786e-01
27, 0.000000e+00, 0.000000e+00, 3.451154e-01
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616, 7.019535e-01, 4.707315e-01, 5.611324e-01
617, 7.610345e-01, 4.067479e-01, 4.859817e-01
618, 7.588887e-01, 4.035482e-01, 4.331093e-01
619, 4.726305e-01, 1.000000e+00, 7.814755e-01
620, 5.883597e-01, 1.000000e+00, 7.286784e-01
621, 3.660094e-01, 1.000000e+00, 8.735274e-01
622, 5.100376e-01, 1.000000e+00, 9.125013e-01
623, 5.956578e-01, 1.000000e+00, 8.350553e-01
624, 5.101102e-01, 7.284563e-01, 1.000000e+00
625, 6.362528e-01, 8.159915e-01, 1.000000e+00
626, 5.611342e-01, 5.804757e-01, 1.000000e+00
627, 3.541706e-01, 5.403106e-01, 1.000000e+00
628, 4.271536e-01, 8.492081e-01, 1.000000e+00
629, 6.503055e-01, 6.855726e-01, 1.000000e+00
630, 3.717770e-01, 6.609326e-01, 1.000000e+00
631, 5.388411e-01, 8.854325e-01, 1.000000e+00
632, 6.470222e-01, 9.174219e-01, 1.000000e+00
633, 4.536354e-01, 5.923681e-01, 1.000000e+00
634, 3.705943e-01, 7.676694e-01, 1.000000e+00
635, 3.548322e-01, 9.324643e-01, 1.000000e+00
636, 2.622795e-01, 7.997098e-01, 8.957910e-01
637, 2.620106e-01, 6.627361e-01, 9.065395e-01
638, 2.642186e-01, 9.238958e-01, 8.982813e-01
639, 7.327694e-01, 8.129946e-01, 8.798884e-01
640, 7.428950e-01, 7.209237e-01, 9.132042e-01
641, 7.293047e-01, 7.278493e-01, 8.038201e-01
642, 7.227292e-01, 9.180981e-01, 8.545090e-01
643, 4.232787e-01, 5.468398e-01, 6.941724e-01
644, 3.349138e-01, 4.995833e-01, 8.062509e-01
645, 3.076196e-01, 4.851881e-01, 8.679217e-01
646, 3.057491e-01, 5.546249e-01, 7.722327e-01
647, 3.958924e-01, 4.478252e-01, 9.224680e-01
648, 4.947772e-01, 4.569158e-01, 8.746561e-01
649, 3.519835e-01, 9.289960e-01, 7.098427e-01
650, 3.410591e-01, 6.974382e-01, 6.940549e-01
651, 3.511792e-01, 8.157029e-01, 6.982909e-01
652, 1.000000e+00, 7.284629e-02, 5.180241e-01
653, 1.000000e+00, 2.986763e-01, 5.463007e-01
654, 1.000000e+00, 3.654152e-01, 4.738892e-01
655, 1.000000e+00, 1.869729e-01, 5.227933e-01
656, 8.602627e-01, 0.000000e+00, 5.218043e-01
657, 8.085003e-01, 0.000000e+00, 4.736627e-01
658, 8.951503e-01, 4.043262e-01, 5.743558e-01
659, 8.637214e-01, 2.015602e-01, 6.459707e-01
660, 9.152034e-01, 2.953604e-01, 6.579755e-01
661, 8.744826e-01, 7.182726e-02, 6.324278e-01
662, 8.673022e-01, 7.985982e-02, 4.116225e-01
663, 8.847744e-01, 3.217034e-01, 3.913487e-01
664, 7.918059e-01, 3.591682e-01, 3.981070e-01
665, 7.747723e-01, 2.744701e-01, 4.063365e-01
666, 8.731163e-01, 2.038725e-01, 4.015520e-01
667, 0.000000e+00, 1.999751e-01, 1.243577e-01
668, 0.000000e+00, 9.584867e-02, 8.475147e-02
669, 0.000000e+00, 1.141722e-01, 1.957567e-01
670, 0.000000e+00, 3.073533e-01, 1.671326e-01
671, 2.395078e-01, 0.000000e+00, 3.282866e-01
672, 1.423494e-01, 0.000000e+00, 2.462169e-01
673, 2.949477e-01, 0.000000e+00, 2.338319e-01
674, 5.200431e-01, 0.000000e+00, 1.340812e-01
675, 4.111401e-01, 0.000000e+00, 2.191213e-01
676, 3.781708e-01, 0.000000e+00, 1.143178e-01
677, 8.894316e-02, 0.000000e+00, 1.182763e-01
678, 2.314396e-01, 0.000000e+00, 1.183253e-01
679, 4.977416e-01, 0.000000e+00, 2.733670e-01
680, 3.640959e-01, 0.000000e+00, 3.363079e-01
681, 3.840203e-01, 2.441906e-01, 0.000000e+00
682, 4.595530e-01, 3.593637e-01, 0.000000e+00
683, 5.131721e-01, 2.516781e-01, 0.000000e+00
684, 5.531962e-01, 1.246229e-01, 0.000000e+00
685, 3.406754e-01, 3.471116e-01, 0.000000e+00
686, 1.045431e-01, 2.357041e-01, 0.000000e+00
687, 4.222451e-01, 1.272312e-01, 0.000000e+00
688, 8.856739e-02, 3.420502e-01, 0.000000e+00
689, 1.249010e-01, 1.191795e-01, 0.000000e+00
690, 2.013216e-01, 3.262761e-01, 0.000000e+00
691, 2.111877e-01, 2.040682e-01, 0.000000e+00
692, 2.738051e-01, 1.343036e-01, 0.000000e+00
693, 2.946715e-01, 2.454555e-01, 0.000000e+00
694, 6.134051e-01, 9.656967e-02, 1.653850e-01
695, 6.005351e-01, 1.949088e-01, 2.324770e-01
696, 6.185328e-01, 1.815780e-01, 1.030238e-01
697, 6.018883e-01, 8.391552e-02, 2.543010e-01
698, 6.256605e-01, 8.275797e-02, 7.859337e-02
699, 1.000000e+00, 3.127290e-01, 1.812134e-01
700, 1.000000e+00, 1.304778e-01, 1.999774e-01
701, 1.000000e+00, 3.540085e-01, 2.810455e-01
702, 1.000000e+00, 4.219121e-01, 1.770910e-01
703, 1.000000e+00, 2.182316e-01, 2.636205e-01
704, 1.000000e+00, 2.210445e-01, 1.114578e-01
705, 1.000000e+00, 1.012142e-01, 1.010236e-01
706, 1.000000e+00, 3.371354e-01, 8.860347e-02
707, 1.000000e+00, 1.014885e-01, 2.948108e-01
708, 1.000000e+00, 4.289692e-01, 7.567182e-02
709, 7.041819e-01, 0.000000e+00, 1.761377e-01
710, 7.667955e-01, 0.000000e+00, 3.459850e-01
711, 8.894201e-01, 0.000000e+00, 1.969057e-01
712, 8.101524e-01, 0.000000e+00, 1.102481e-01
713, 6.840899e-01, 0.000000e+00, 2.859925e-01
714, 8.849360e-01, 0.000000e+00, 3.135684e-01
715, 7.899293e-01, 0.000000e+00, 2.381396e-01
716, 7.076028e-01, 0.000000e+00, 7.939465e-02
717, 9.158798e-01, 0.000000e+00, 8.836348e-02
718, 8.197558e-01, 1.849214e-01, 0.000000e+00
719, 9.045150e-01, 2.738297e-01, 0.000000e+00
720, 9.190616e-01, 1.842292e-01, 0.000000e+00
721, 8.054098e-01, 2.912096e-01, 0.000000e+00
722, 8.740820e-01, 8.488789e-02, 0.000000e+00
723, 7.402765e-01, 9.997292e-02, 0.000000e+00
724, 9.015455e-01, 4.406066e-01, 0.000000e+00
725, 8.828630e-01, 3.571596e-01, 0.000000e+00
726, 8.056292e-01, 3.942141e-01, 0.000000e+00
727, 7.113101e-01, 3.218219e-01, 0.000000e+00
728, 7.161861e-01, 2.033384e-01, 0.000000e+00
729, 1.000000e+00, 1.923953e-01, 8.300709e-01
730, 1.000000e+00, 2.871410e-01, 7.748361e-01
731, 1.000000e+00, 2.699192e-01, 8.925317e-01
732, 1.000000e+00, 1.016835e-01, 7.531784e-01
733, 1.000000e+00, 1.011674e-01, 8.980095e-01
734, 1.000000e+00, 2.028414e-01, 7.410943e-01
735, 1.000000e+00, 1.845347e-01, 9.245648e-01
736, 7.340211e-01, 0.000000e+00, 8.224361e-01
737, 7.560251e-01, 0.000000e+00, 7.260212e-01
738, 9.171401e-01, 0.000000e+00, 8.449204e-01
739, 9.233846e-01, 0.000000e+00, 9.214212e-01
740, 8.123376e-01, 0.000000e+00, 8.857211e-01
741, 8.803446e-01, 0.000000e+00, 6.963643e-01
742, 8.499781e-01, 0.000000e+00, 7.880654e-01
743, 7.071980e-01, 0.000000e+00, 9.272543e-01
744, 8.615753e-01, 1.891159e-01, 1.000000e+00
745, 8.273673e-01, 8.564415e-02, 1.000000e+00
746, 9.152776e-01, 7.863206e-02, 1.000000e+00
747, 7.379057e-01, 3.226488e-01, 7.119959e-01
748, 6.842995e-01, 2.285407e-01, 8.676342e-01
749, 6.659833e-01, 9.765425e-02, 9.110142e-01
750, 6.499729e-01, 1.029038e-01, 8.146382e-01
751, 6.584974e-01, 1.859627e-01, 7.695976e-01
752, 1.000000e+00, 5.594140e-01, 6.184802e-01
753, 1.000000e+00, 4.850958e-01, 5.754808e-01
754, 1.000000e+00, 4.799726e-01, 6.895948e-01
755, 4.944514e-01, 4.448171e-01, 6.515779e-01
756, 5.674349e-01, 3.718834e-01, 7.435225e-01
757, 6.411447e-01, 1.000000e+00, 3.765856e-01
758, 4.926914e-01, 0.000000e+00, 8.594435e-01
759, 5.315604e-01, 3.401737e-01, 1.000000e+00
760, 6.100068e-01, 2.493912e-01, 1.000000e+00
761, 4.792696e-01, 1.950090e-01, 1.000000e+00
762, 4.393821e-01, 7.336918e-02, 1.000000e+00
763, 5.620372e-01, 1.070207e-01, 1.000000e+00
764, 1.000000e+00, 7.978109e-01, 8.916563e-01
765, 1.000000e+00, 6.691224e-01, 8.864380e-01
766, 1.000000e+00, 7.281295e-01, 7.761422e-01
767, 1.000000e+00, 9.103024e-01, 9.044654e-01
768, 1.000000e+00, 8.716983e-01, 7.791288e-01
769, 8.594184e-01, 1.000000e+00, 8.590065e-01
770, 9.316974e-01, 1.000000e+00, 9.261562e-01
771, 7.825716e-01, 1.000000e+00, 7.887150e-01
772, 8.688596e-01, 9.284999e-01, 1.000000e+00
773, 8.509990e-01, 7.220260e-01, 1.000000e+00
774, 8.686941e-01, 8.181692e-01, 1.000000e+00
775, 0.000000e+00, 6.340273e-01, 5.987154e-01
776, 0.000000e+00, 9.144822e-01, 6.013193e-01
777, 0.000000e+00, 7.832067e-01, 6.041467e-01
778, 1.189704e-01, 1.000000e+00, 6.411952e-01
779, 2.305757e-01, 1.000000e+00, 6.832924e-01
780, 2.166051e-01, 1.000000e+00, 5.648907e-01
781, 3.220714e-01, 1.000000e+00, 5.913268e-01
782, 3.213962e-01, 5.665726e-01, 5.843746e-01
783, 2.032142e-01, 5.593860e-01, 6.609338e-01
784, 8.909884e-02, 5.506090e-01, 6.598292e-01
785, 1.349402e-01, 8.128766e-01, 7.682993e-01
786, 1.470553e-01, 7.083043e-01, 7.614788e-01
787, 9.017868e-02, 9.054197e-01, 7.690756e-01
788, 0.000000e+00, 4.636118e-01, 7.062484e-01
789, 3.153200e-01, 4.864523e-01, 6.596856e-01
790, 8.287885e-02, 5.253858e-01, 8.240000e-01
791, 1.608893e-01, 5.516252e-01, 8.222148e-01
792, 0.000000e+00, 5.389533e-01, 9.024085e-01
793, 0.000000e+00, 6.411467e-01, 8.623852e-01
794, 0.000000e+00, 9.194500e-01, 8.782130e-01
795, 0.000000e+00, 7.903032e-01, 8.733115e-01
796, 1.304959e-01, 1.000000e+00, 8.944730e-01
797, 1.364547e-01, 5.463232e-01, 1.000000e+00
798, 1.391286e-01, 9.214373e-01, 1.000000e+00
799, 1.382277e-01, 7.944220e-01, 1.000000e+00
800, 1.356411e-01, 6.701214e-01, 1.000000e+00
801, 2.705965e-01, 8.073912e-01, 3.094488e-01
802, 1.072154e-01, 6.440102e-01, 1.460678e-01
803, 2.161362e-01, 6.440102e-01, 1.460678e-01
804, 1.072154e-01, 7.529309e-01, 1.460678e-01
805, 1.072154e-01, 8.618516e-01, 1.460678e-01
806, 1.072154e-01, 5.350895e-01, 1.460678e-01
807, 2.161362e-01, 8.618516e-01, 3.639092e-01
808, 3.250569e-01, 8.618516e-01, 3.639092e-01
809, 3.250569e-01, 7.529309e-01, 3.639092e-01
810, 3.250569e-01, 8.618516e-01, 2.549885e-01
811, 4.339775e-01, 8.618516e-01, 1.460678e-01
812, 2.161362e-01, 8.618516e-01, 2.549885e-01
813, 4.339775e-01, 8.618516e-01, 2.549885e-01
814, 3.250569e-01, 7.529309e-01, 2.549885e-01
815, 3.250569e-01, 8.618516e-01, 1.460678e-01
816, 2.161362e-01, 7.529309e-01, 3.639092e-01
817, 4.339775e-01, 7.529309e-01, 2.549885e-01
818, 4.339775e-01, 7.529309e-01, 1.460678e-01
819, 2.161362e-01, 7.529309e-01, 1.460678e-01
820, 2.161362e-01, 5.350895e-01, 2.549885e-01
821, 2.161362e-01, 6.440102e-01, 3.639092e-01
822, 3.250569e-01, 6.440102e-01, 3.639092e-01
823, 2.161362e-01, 6.440102e-01, 2.549885e-01
824, 3.828751e-01, 5.965468e-01, 2.206115e-01
825, 1.072154e-01, 5.350895e-01, 2.549885e-01
826, 1.321620e-01, 3.119628e-01, 4.946992e-01
827, 1.321620e-01, 1.320891e-01, 5.846360e-01
828, 1.321620e-01, 1.320891e-01, 4.946992e-01
829, 9.420615e-01, 5.205292e-01, 8.518906e-01
830, 1.106334e-01, 1.199487e-01, 8.407761e-01
831, 1.106334e-01, 1.199487e-01, 9.224467e-01
832, 5.682576e-01, 1.307034e-01, 5.400789e-01
833, 8.882494e-01, 8.809592e-01, 1.940076e-01
834, 8.030806e-01, 8.809592e-01, 1.940076e-01
835, 8.030806e-01, 7.957904e-01, 1.088388e-01
836, 8.882494e-01, 7.957904e-01, 1.088388e-01
837, 8.030806e-01, 8.809592e-01, 1.088388e-01
838, 7.179118e-01, 8.809592e-01, 1.088388e-01
839, 8.882494e-01, 7.106216e-01, 1.088388e-01
840, 8.882494e-01, 8.809592e-01, 2.791764e-01
841, 5.049063e-01, 8.666278e-01, 8.012413e-01
842, 6.003286e-01, 8.666278e-01, 8.012413e-01
843, 4.094839e-01, 5.803607e-01, 8.966637e-01
844, 6.003286e-01, 8.666278e-01, 8.966637e-01
845, 4.094839e-01, 7.712054e-01, 8.966637e-01
846, 4.094839e-01, 8.666278e-01, 8.966637e-01
847, 6.003286e-01, 7.712054e-01, 8.966637e-01
848, 5.049063e-01, 7.712054e-01, 8.966637e-01
849, 8.415490e-01, 1.138090e-01, 5.210622e-01
850, 9.190392e-01, 2.687895e-01, 5.210622e-01
851, 1.073007e-01, 8.423859e-02, 1.250281e-01
852, 2.163081e-01, 8.423859e-02, 1.250281e-01
853, 2.163081e-01, 8.423859e-02, 2.340354e-01
854, 1.073007e-01, 1.932459e-01, 1.250281e-01
855, 1.073007e-01, 3.022533e-01, 1.250281e-01
856, 4.343228e-01, 8.423859e-02, 1.250281e-01
857, 4.343228e-01, 8.423859e-02, 2.340354e-01
858, 3.253154e-01, 8.423859e-02, 2.340354e-01
859, 2.163081e-01, 3.022533e-01, 1.250281e-01
860, 3.253154e-01, 1.932459e-01, 1.250281e-01
861, 2.163081e-01, 1.932459e-01, 1.250281e-01
862, 2.163081e-01, 1.932459e-01, 2.340354e-01
863, 3.253154e-01, 3.022533e-01, 1.250281e-01
864, 3.253154e-01, 1.932459e-01, 2.340354e-01
865, 2.163081e-01, 3.022533e-01, 2.340354e-01
866, 8.867307e-01, 3.127577e-01, 1.267631e-01
867, 8.867307e-01, 1.324257e-01, 2.169291e-01
868, 7.965648e-01, 1.324257e-01, 2.169291e-01
869, 7.063988e-01, 1.324257e-01, 1.267631e-01
870, 7.063988e-01, 1.324257e-01, 2.169291e-01
871, 7.063988e-01, 2.225917e-01, 2.169291e-01
872, 7.965648e-01, 1.324257e-01, 3.070951e-01
873, 8.867307e-01, 1.324257e-01, 1.267631e-01
874, 7.965648e-01, 1.324257e-01, 1.267631e-01
875, 7.063988e-01, 2.225917e-01, 1.267631e-01
876, 8.867307e-01, 2.225917e-01, 1.267631e-01
877, 7.965648e-01, 3.127577e-01, 1.267631e-01
878, 7.965648e-01, 2.225917e-01, 1.267631e-01
879, 7.965648e-01, 3.127577e-01, 3.070951e-01
880, 7.965648e-01, 2.225917e-01, 3.070951e-01
881, 8.867307e-01, 3.127577e-01, 3.070951e-01
882, 4.459264e-01, 3.563909e-01, 9.157230e-01
883, 1.443447e-01, 7.796935e-01, 8.660116e-01
*Element, type=C3D4
2607,3,158,375,406
2608,422,404,365,16
2609,368,805,804,150
2610,807,812,370,381
2611,427,426,396,167
2612,813,810,815,814
2613,372,366,153,806
2614,180,416,825,820
2615,816,821,401,402
2616,810,812,374,815
2617,393,368,804,150
2618,806,394,802,386
2619,390,388,407,818
2620,821,422,820,423
2621,390,175,407,22
2622,383,427,160,379
2623,388,407,408,172
2624,806,802,803,386
2625,824,817,6,409
2626,808,810,376,375
2627,818,23,408,424
2628,805,812,819,815
2629,426,389,396,167
2630,175,818,407,408
2631,426,168,389,167
2632,169,390,407,22
2633,816,801,819,812
2634,384,374,162,815
2635,821,816,823,367
2636,389,426,818,390
2637,823,824,820,803
2638,367,816,400,403
2639,388,12,172,164
2640,811,384,391,815
2641,816,823,804,819
2642,404,821,367,403
2643,422,181,820,423
2644,377,808,376,375
2645,367,812,804,364
2646,415,817,9,178
2647,806,419,803,820
2648,427,383,396,811
2649,170,406,413,808
2650,805,393,804,150
2651,385,818,815,397
2652,422,821,820,825
2653,415,179,14,822
2654,818,388,408,172
2655,179,822,178,8
2656,427,383,160,21
2657,801,823,819,814
2658,13,415,14,822
2659,4,378,413,375
2660,417,416,418,820
2661,393,399,368,151
2662,411,174,178,817
2663,817,23,408,818
2664,179,415,178,822
2665,373,805,812,381
2666,372,394,369,806
2667,812,801,819,814
2668,818,811,813,424
2669,817,412,813,809
2670,810,801,809,808
2671,19,181,423,418
2672,400,367,370,807
2673,812,367,370,364
2674,367,812,370,807
2675,385,818,803,392
2676,822,18,17,423
2677,174,23,817,411
2678,417,388,824,172
2679,391,397,815,387
2680,148,373,381,364
2681,821,822,824,809
2682,812,805,374,815
2683,805,163,395,373
2684,813,811,815,380
2685,379,378,380,813
2686,388,164,172,417
2687,24,817,813,424
2688,812,364,370,381
2689,816,821,809,401
2690,378,176,413,813
2691,13,18,17,822
2692,812,805,364,381
2693,421,153,420,806
2694,9,7,412,809
2695,364,148,370,381
2696,379,20,425,160
2697,148,382,370,381
2698,388,818,408,407
2699,404,422,171,16
2700,379,813,425,177
2701,418,822,414,824
2702,399,368,369,802
2703,417,418,11,824
2704,389,811,391,818
2705,417,824,392,803
2706,805,812,804,819
2707,170,7,809,412
2708,23,24,817,411
2709,421,372,153,806
2710,397,819,815,387
2711,373,148,149,364
2712,366,806,369,363
2713,818,385,815,391
2714,817,822,809,824
2715,176,410,5,813
2716,812,819,815,814
2717,816,367,804,823
2718,363,368,364,804
2719,810,812,815,814
2720,363,367,804,364
2721,806,394,419,166
2722,372,421,394,806
2723,367,816,804,812
2724,366,806,825,420
2725,818,811,815,813
2726,817,813,815,814
2727,384,374,815,380
2728,421,806,419,166
2729,807,401,809,808
2730,807,377,808,376
2731,382,157,807,381
2732,384,396,391,161
2733,383,384,161,396
2734,801,807,809,808
2735,823,802,804,803
2736,157,377,807,381
2737,818,817,815,814
2738,816,401,403,402
2739,157,377,158,405
2740,813,378,375,413
2741,7,415,809,9
2742,423,821,171,402
2743,817,818,824,814
2744,816,405,403,401
2745,812,373,381,374
2746,404,821,403,402
2747,821,816,403,402
2748,817,9,5,412
2749,817,411,9,178
2750,805,163,374,387
2751,405,816,403,400
2752,383,811,379,384
2753,805,393,819,804
2754,426,811,396,389
2755,817,818,813,424
2756,169,388,407,390
2757,168,426,389,390
2758,163,805,395,387
2759,374,163,162,387
2760,817,824,809,814
2761,813,817,809,814
2762,811,389,391,396
2763,823,802,820,825
2764,372,394,166,10
2765,823,363,825,365
2766,421,372,166,10
2767,15,180,420,825
2768,822,423,820,418
2769,372,421,166,394
2770,811,426,424,818
2771,371,805,368,150
2772,822,415,178,817
2773,410,378,176,159
2774,410,24,813,177
2775,390,389,385,818
2776,806,394,369,802
2777,426,175,818,390
2778,806,419,398,803
2779,821,367,823,363
2780,816,801,812,807
2781,154,366,365,825
2782,404,155,365,16
2783,153,366,15,420
2784,7,170,809,401
2785,18,13,14,822
2786,391,384,162,815
2787,394,399,369,802
2788,416,180,181,820
2789,366,372,369,806
2790,152,399,369,394
2791,410,378,159,379
2792,410,159,20,379
2793,383,811,384,396
2794,812,374,381,376
2795,406,3,413,375
2796,388,12,169,407
2797,426,168,175,390
2798,24,410,813,5
2799,813,413,375,808
2800,811,426,818,389
2801,817,174,6,409
2802,812,807,808,376
2803,811,379,380,813
2804,811,384,380,379
2805,386,806,398,803
2806,378,410,813,379
2807,801,810,809,814
2808,363,368,802,369
2809,822,18,414,14
2810,810,374,376,380
2811,404,367,155,403
2812,382,2,370,400
2813,824,6,173,409
2814,367,823,363,804
2815,816,801,814,823
2816,824,11,409,173
2817,412,176,813,413
2818,377,405,808,406
2819,806,363,802,369
2820,817,9,412,809
2821,3,4,413,375
2822,810,380,376,375
2823,388,390,385,818
2824,812,801,808,807
2825,423,181,820,418
2826,372,152,369,394
2827,813,24,424,425
2828,811,427,379,425
2829,427,379,425,160
2830,24,813,177,425
2831,394,806,398,386
2832,393,368,150,151
2833,157,382,400,2
2834,821,404,171,402
2835,412,813,808,413
2836,810,812,376,374
2837,175,426,818,424
2838,179,822,173,414
2839,170,412,808,413
2840,383,427,396,21
2841,384,811,391,396
2842,801,816,814,809
2843,801,816,809,807
2844,371,805,395,373
2845,396,427,167,21
2846,386,819,804,803
2847,819,393,386,804
2848,367,400,155,403
2849,417,165,398,392
2850,821,822,809,401
2851,813,810,808,375
2852,810,813,809,814
2853,393,399,386,802
2854,388,818,385,392
2855,165,417,398,419
2856,399,394,386,802
2857,803,417,398,392
2858,404,821,825,365
2859,821,367,363,365
2860,419,417,398,803
2861,23,175,408,424
2862,823,824,814,809
2863,20,379,425,177
2864,180,422,825,154
2865,23,817,424,818
2866,823,821,824,809
2867,818,824,803,392
2868,816,823,814,809
2869,373,371,1,395
2870,421,394,806,166
2871,816,821,823,809
2872,163,373,1,395
2873,806,416,419,820
2874,802,806,820,825
2875,806,802,820,803
2876,811,384,815,380
2877,810,812,808,376
2878,23,24,424,817
2879,159,378,176,4
2880,422,180,825,820
2881,180,422,181,820
2882,822,19,418,414
2883,418,824,414,11
2884,400,367,156,370
2885,400,2,370,156
2886,382,400,370,807
2887,368,363,802,804
2888,176,378,413,4
2889,400,367,155,156
2890,824,822,414,173
2891,2,382,370,148
2892,817,818,815,813
2893,426,811,424,425
2894,821,823,824,820
2895,377,158,405,406
2896,374,162,815,387
2897,406,170,401,808
2898,406,413,808,375
2899,172,824,409,408
2900,822,821,402,401
2901,817,174,178,6
2902,172,417,11,409
2903,422,821,171,423
2904,404,821,171,422
2905,417,824,11,409
2906,824,417,172,409
2907,810,813,380,375
2908,374,805,387,815
2909,810,801,812,814
2910,805,163,373,374
2911,396,383,21,161
2912,813,412,808,809
2913,393,819,386,397
2914,805,373,812,374
2915,397,386,392,803
2916,818,819,815,397
2917,417,388,392,824
2918,374,810,815,380
2919,166,394,419,398
2920,388,164,417,392
2921,823,363,804,802
2922,371,373,1,149
2923,805,819,387,815
2924,422,154,365,825
2925,816,401,809,807
2926,806,416,825,420
2927,819,818,815,814
2928,373,805,381,364
2929,388,818,824,172
2930,806,416,420,419
2931,805,393,387,819
2932,175,168,22,390
2933,179,822,414,14
2934,822,19,423,418
2935,388,12,407,172
2936,174,23,408,817
2937,406,377,375,808
2938,382,807,370,381
2939,405,816,807,401
2940,802,386,804,803
2941,824,818,408,172
2942,813,810,809,808
2943,817,818,408,824
2944,824,11,173,414
2945,377,157,807,405
2946,405,816,400,807
2947,821,823,820,825
2948,823,821,363,365
2949,366,15,420,825
2950,404,422,365,825
2951,821,404,825,422
2952,418,19,11,414
2953,410,378,813,176
2954,3,170,406,413
2955,18,822,414,19
2956,405,406,401,808
2957,379,410,813,177
2958,427,383,811,379
2959,819,386,397,803
2960,162,391,815,387
2961,415,817,809,9
2962,417,164,165,392
2963,806,394,398,419
2964,153,366,420,806
2965,372,152,394,10
2966,372,421,153,10
2967,412,817,813,5
2968,176,412,813,5
2969,812,805,804,364
2970,817,411,5,9
2971,368,805,364,804
2972,181,416,820,418
2973,818,388,824,392
2974,811,813,424,425
2975,426,427,811,425
2976,158,377,375,406
2977,385,397,392,803
2978,386,803,398,392
2979,399,152,369,151
2980,379,811,425,813
2981,819,823,804,803
2982,822,821,820,423
2983,165,166,419,398
2984,175,818,408,424
2985,175,390,407,818
2986,405,401,807,808
2987,405,377,808,807
2988,822,821,824,820
2989,411,24,817,5
2990,817,24,813,5
2991,421,806,420,419
2992,410,20,177,379
2993,810,813,815,380
2994,415,822,809,817
2995,823,819,814,803
2996,810,801,808,812
2997,806,416,820,825
2998,822,18,423,19
2999,13,822,402,401
3000,821,816,367,403
3001,13,822,17,402
3002,423,171,17,402
3003,816,367,807,812
3004,367,816,807,400
3005,824,823,814,803
3006,371,805,364,368
3007,157,405,400,807
3008,382,157,400,807
3009,818,819,803,814
3010,419,417,803,820
3011,824,818,803,814
3012,802,823,820,803
3013,170,401,808,809
3014,412,170,808,809
3015,813,378,380,375
3016,154,180,15,825
3017,366,154,15,825
3018,393,802,386,804
3019,418,822,824,820
3020,416,180,825,420
3021,812,816,804,819
3022,368,399,369,151
3023,404,367,365,155
3024,393,805,387,395
3025,371,805,150,395
3026,395,371,1,150
3027,805,393,150,395
3028,366,363,365,825
3029,818,811,391,815
3030,426,427,396,811
3031,363,823,825,802
3032,821,823,825,365
3033,822,179,173,8
3034,806,363,825,802
3035,817,174,409,408
3036,806,366,825,363
3037,824,417,820,803
3038,821,404,367,365
3039,417,418,824,820
3040,416,417,419,820
3041,391,385,815,397
3042,824,817,409,408
3043,393,819,397,387
3044,154,422,365,16
3045,384,391,162,161
3046,389,818,391,385
3047,801,816,819,823
3048,423,402,822,821
3049,822,402,423,17
3050,415,809,401,7
3051,401,809,415,822
3052,401,13,415,7
3053,415,13,401,822
3054,173,8,824,822
3055,173,824,8,6
3056,376,807,381,812
3057,376,381,807,377
3058,6,178,824,8
3059,6,824,178,817
3060,822,824,178,8
3061,822,178,824,817
3062,397,818,803,385
3063,397,803,818,819
3064,371,373,364,805
3065,364,373,371,149
3066,393,802,368,399
3067,368,802,393,804
3068,442,827,438,441
3069,440,827,438,828
3070,826,171,422,437
3071,447,826,444,451
3072,436,827,429,434
3073,435,450,188,433
3074,826,431,422,452
3075,28,193,447,198
3076,186,432,445,33
3077,422,180,181,452
3078,439,193,30,448
3079,453,454,448,828
3080,826,422,181,452
3081,439,443,448,828
3082,31,439,30,448
3083,447,197,26,29
3084,193,31,30,448
3085,192,32,456,441
3086,25,37,18,423
3087,444,447,448,828
3088,826,171,423,422
3089,431,826,428,433
3090,187,433,188,449
3091,436,827,440,429
3092,183,436,440,429
3093,182,435,429,440
3094,184,827,455,456
3095,171,16,422,437
3096,447,453,448,828
3097,826,446,195,34
3098,447,193,444,448
3099,442,439,443,191
3100,442,35,443,194
3101,826,446,445,195
3102,455,184,185,434
3103,430,36,445,196
3104,32,436,456,441
3105,827,436,440,441
3106,443,194,444,827
3107,435,450,433,828
3108,193,439,443,448
3109,446,171,196,37
3110,431,826,437,430
3111,826,431,428,430
3112,433,450,188,449
3113,442,192,456,441
3114,197,447,26,451
3115,827,442,456,441
3116,180,431,422,154
3117,450,435,27,189
3118,429,827,828,434
3119,35,442,443,191
3120,435,450,27,188
3121,19,197,18,423
3122,448,454,438,828
3123,186,432,430,445
3124,827,194,455,456
3125,443,439,827,828
3126,446,826,445,196
3127,32,183,436,441
3128,447,29,26,444
3129,439,190,438,448
3130,436,827,434,184
3131,197,19,451,423
3132,432,826,455,434
3133,431,180,452,15
3134,451,826,181,452
3135,431,187,452,449
3136,428,826,432,434
3137,190,454,438,448
3138,826,453,828,449
3139,826,453,449,451
3140,186,36,445,430
3141,826,430,445,196
3142,193,447,444,29
3143,432,826,445,195
3144,182,183,440,429
3145,440,828,438,189
3146,439,448,438,828
3147,826,451,449,452
3148,826,453,451,447
3149,431,826,433,449
3150,453,450,828,449
3151,453,450,454,828
3152,25,446,37,423
3153,37,17,18,423
3154,435,182,27,189
3155,187,431,433,449
3156,827,194,34,455
3157,446,826,444,34
3158,25,446,444,34
3159,16,422,437,154
3160,436,183,440,441
3161,826,422,423,181
3162,443,444,448,828
3163,450,435,189,440
3164,194,442,827,443
3165,454,190,438,189
3166,827,436,456,184
3167,435,182,189,440
3168,826,827,34,455
3169,827,826,34,444
3170,35,442,192,456
3171,436,32,456,184
3172,432,455,185,434
3173,826,428,433,828
3174,826,25,444,26
3175,17,171,423,37
3176,826,451,181,423
3177,187,431,452,15
3178,194,442,456,827
3179,431,180,15,154
3180,826,432,455,195
3181,193,439,30,443
3182,826,451,423,26
3183,25,26,423,18
3184,436,827,456,441
3185,439,442,827,438
3186,28,197,447,29
3187,826,827,828,444
3188,443,827,444,828
3189,450,454,828,189
3190,826,827,455,434
3191,195,826,34,455
3192,439,442,443,827
3193,450,433,828,449
3194,451,447,26,444
3195,826,446,25,423
3196,193,28,447,29
3197,432,826,430,445
3198,433,826,828,449
3199,431,826,422,437
3200,451,19,181,423
3201,826,446,171,196
3202,36,16,196,437
3203,826,431,452,449
3204,827,440,438,441
3205,16,171,196,437
3206,440,450,828,189
3207,439,827,828,438
3208,428,429,828,434
3209,826,428,432,430
3210,446,826,25,444
3211,193,443,444,448
3212,184,827,434,455
3213,194,827,34,444
3214,827,826,828,434
3215,826,428,828,434
3216,31,190,439,448
3217,193,198,448,447
3218,31,193,198,448
3219,429,435,433,828
3220,25,826,423,26
3221,431,180,422,452
3222,35,442,456,194
3223,195,432,455,185
3224,33,432,195,185
3225,428,429,433,828
3226,827,429,828,440
3227,451,826,444,26
3228,828,454,438,189
3229,33,432,445,195
3230,439,443,191,30
3231,429,435,828,440
3232,437,36,430,196
3233,435,450,828,440
3234,422,431,437,154
3235,423,446,171,826
3236,423,171,446,37
3237,447,828,826,453
3238,826,828,447,444
3239,437,196,826,171
3240,826,196,437,430
3241,423,197,26,451
3242,423,26,197,18
3243,47,43,48,474
3244,462,475,473,210
3245,464,43,44,472
3246,473,475,472,51
3247,475,462,204,50
3248,475,474,472,51
3249,460,199,829,465
3250,475,462,458,461
3251,829,39,206,466
3252,203,460,465,38
3253,475,473,210,51
3254,469,457,463,829
3255,467,464,40,206
3256,829,469,457,459
3257,469,201,457,459
3258,205,45,209,458
3259,460,203,468,461
3260,469,458,829,470
3261,473,475,458,470
3262,465,199,829,466
3263,49,203,461,468
3264,471,45,202,458
3265,203,460,468,465
3266,469,201,459,42
3267,462,205,50,473
3268,464,474,472,470
3269,829,460,468,461
3270,462,475,210,50
3271,45,471,209,458
3272,41,39,463,457
3273,207,469,463,470
3274,473,205,209,458
3275,473,46,472,470
3276,462,475,458,473
3277,829,464,463,470
3278,464,467,829,466
3279,460,199,465,38
3280,472,46,44,470
3281,464,43,472,474
3282,201,459,200,457
3283,460,829,200,459
3284,199,39,829,466
3285,471,458,469,470
3286,43,47,472,474
3287,467,464,206,466
3288,202,469,459,42
3289,469,463,457,41
3290,471,469,459,202
3291,467,208,48,474
3292,469,207,463,41
3293,465,460,468,829
3294,458,471,459,202
3295,471,458,459,469
3296,467,465,829,466
3297,829,206,464,466
3298,48,43,40,474
3299,473,475,470,472
3300,458,829,470,461
3301,199,39,457,829
3302,46,473,209,470
3303,462,205,473,458
3304,463,44,207,470
3305,467,829,468,461
3306,467,465,468,829
3307,472,464,470,44
3308,464,467,474,470
3309,469,829,463,470
3310,469,201,41,457
3311,464,467,470,829
3312,829,199,200,457
3313,458,475,461,470
3314,474,47,472,51
3315,463,44,470,464
3316,460,199,200,829
3317,458,460,829,461
3318,39,829,463,457
3319,475,462,461,204
3320,39,829,206,463
3321,829,464,206,463
3322,201,459,42,200
3323,462,473,50,210
3324,467,48,40,474
3325,464,467,40,474
3326,474,475,472,470
3327,459,829,200,457
3328,829,467,470,461
3329,46,473,472,51
3330,460,199,38,200
3331,43,464,40,474
3332,458,209,470,471
3333,458,470,209,473
3334,459,829,458,460
3335,459,458,829,469
3336,467,468,475,461
3337,467,470,475,474
3338,475,470,467,461
3339,49,468,204,208
3340,49,204,468,461
3341,475,204,468,208
3342,475,468,204,461
3343,475,467,208,468
3344,208,467,475,474
3345,479,53,412,477
3346,413,216,483,482
3347,476,477,52,480
3348,58,479,214,483
3349,476,211,56,482
3350,479,480,483,215
3351,412,170,478,483
3352,412,477,176,413
3353,482,476,481,483
3354,412,7,57,170
3355,412,53,5,477
3356,476,480,481,483
3357,412,9,5,478
3358,479,53,478,412
3359,53,412,5,478
3360,7,412,57,478
3361,170,412,413,483
3362,413,216,170,483
3363,479,58,478,54
3364,477,479,213,480
3365,479,477,483,480
3366,477,412,176,5
3367,9,53,5,478
3368,212,476,52,480
3369,9,53,478,54
3370,53,479,213,477
3371,212,476,480,481
3372,212,215,55,481
3373,58,479,478,214
3374,477,476,413,483
3375,476,211,482,481
3376,214,483,478,57
3377,482,476,3,56
3378,480,215,481,483
3379,476,482,3,413
3380,412,479,483,478
3381,477,4,176,413
3382,479,214,483,478
3383,412,477,413,483
3384,483,170,478,57
3385,4,476,3,413
3386,413,216,482,3
3387,476,4,52,477
3388,170,483,216,57
3389,56,482,216,3
3390,413,216,3,170
3391,55,476,481,211
3392,483,413,482,476
3393,170,412,478,57
3394,4,476,413,477
3395,412,7,9,478
3396,479,58,215,483
3397,477,476,483,480
3398,53,479,478,54
3399,212,480,215,481
3400,412,479,477,483
3401,55,476,212,481
3402,480,477,52,213
3403,60,218,217,219
3404,484,53,9,54
3405,8,221,178,484
3406,59,486,485,219
3407,411,24,64,488
3408,486,218,484,485
3409,62,218,485,484
3410,411,64,5,53
3411,487,62,485,484
3412,6,221,178,8
3413,487,488,485,65
3414,411,484,9,178
3415,174,221,487,484
3416,221,174,178,484
3417,221,6,178,174
3418,66,486,488,65
3419,484,486,54,217
3420,62,63,487,485
3421,411,23,24,488
3422,23,411,220,488
3423,218,486,484,217
3424,486,218,485,219
3425,64,411,488,53
3426,411,174,487,484
3427,486,64,488,53
3428,221,62,487,484
3429,411,486,488,53
3430,61,487,485,65
3431,487,63,61,485
3432,488,487,220,65
3433,221,62,484,8
3434,62,221,487,63
3435,411,53,5,9
3436,59,61,485,65
3437,484,411,9,53
3438,411,174,220,487
3439,218,486,217,219
3440,174,411,178,484
3441,486,484,54,53
3442,411,24,5,64
3443,411,23,220,174
3444,486,66,488,64
3445,486,411,484,53
3446,411,487,220,488
3447,486,66,59,65
3448,65,486,485,59
3449,65,485,486,488
3450,485,488,484,486
3451,485,484,488,487
3452,411,484,488,486
3453,411,488,484,487
3454,484,8,62,489
3455,218,484,62,489
3456,484,478,491,54
3457,179,8,178,489
3458,68,218,62,489
3459,72,57,492,7
3460,72,69,13,489
3461,415,179,178,489
3462,478,54,58,491
3463,74,490,492,67
3464,415,72,7,13
3465,490,72,71,492
3466,492,222,491,73
3467,217,484,491,54
3468,415,14,179,489
3469,478,58,214,491
3470,218,70,217,222
3471,57,492,478,214
3472,492,484,478,491
3473,72,490,71,69
3474,9,415,478,7
3475,218,70,222,67
3476,415,9,484,178
3477,74,492,222,67
3478,492,478,214,491
3479,492,218,222,67
3480,73,492,58,491
3481,484,490,492,489
3482,74,490,71,492
3483,69,14,13,489
3484,68,490,489,69
3485,415,484,492,489
3486,415,72,492,7
3487,415,9,478,484
3488,490,72,489,69
3489,492,74,222,73
3490,484,9,478,54
3491,14,415,13,489
3492,415,72,13,489
3493,415,492,478,7
3494,490,218,492,67
3495,484,415,178,489
3496,72,415,492,489
3497,8,484,178,489
3498,490,72,492,489
3499,70,218,217,60
3500,484,218,492,490
3501,58,492,214,491
3502,218,68,67,490
3503,492,57,478,7
3504,415,484,478,492
3505,489,218,490,68
3506,489,490,218,484
3507,222,492,484,218
3508,484,492,222,491
3509,484,217,222,218
3510,222,217,484,491
3511,513,82,503,83
3512,830,514,235,506
3513,502,497,223,75
3514,229,504,501,831
3515,513,82,509,503
3516,194,499,35,512
3517,236,500,512,76
3518,232,513,514,506
3519,234,79,80,495
3520,830,499,500,501
3521,34,830,235,511
3522,228,77,515,231
3523,232,513,503,83
3524,194,499,512,830
3525,502,229,501,831
3526,226,510,80,495
3527,502,497,830,223
3528,226,493,510,495
3529,456,498,32,192
3530,510,234,80,495
3531,77,227,228,515
3532,505,830,506,831
3533,194,456,35,499
3534,508,504,229,831
3535,515,504,236,500
3536,234,510,511,507
3537,830,499,512,500
3538,223,497,830,494
3539,228,504,500,501
3540,509,234,511,507
3541,82,513,509,78
3542,225,505,496,507
3543,195,493,511,510
3544,513,78,235,511
3545,502,497,508,831
3546,494,830,496,831
3547,494,493,496,830
3548,235,830,506,511
3549,498,456,499,35
3550,493,455,830,494
3551,195,455,493,185
3552,184,455,185,494
3553,830,505,506,511
3554,500,515,76,236
3555,504,505,506,831
3556,504,228,229,501
3557,33,195,493,185
3558,78,34,235,511
3559,830,505,496,831
3560,497,508,831,224
3561,495,225,496,507
3562,502,508,229,831
3563,505,830,496,511
3564,497,502,830,831
3565,455,493,185,494
3566,830,504,831,501
3567,456,498,494,184
3568,224,505,496,225
3569,497,508,224,75
3570,503,509,511,507
3571,228,504,515,500
3572,514,504,231,506
3573,830,493,496,511
3574,513,232,503,506
3575,513,235,506,511
3576,497,224,831,496
3577,503,233,234,507
3578,456,455,494,830
3579,497,494,831,830
3580,503,513,511,509
3581,194,830,512,235
3582,498,456,494,830
3583,504,830,236,500
3584,233,79,234,507
3585,456,455,184,494
3586,194,455,830,34
3587,223,498,32,184
3588,502,830,831,501
3589,79,495,507,225
3590,224,505,831,496
3591,503,83,81,84
3592,82,83,81,503
3593,510,234,495,507
3594,498,223,830,494
3595,498,502,830,223
3596,233,503,81,84
3597,504,830,500,501
3598,503,233,81,509
3599,494,497,831,496
3600,514,232,506,231
3601,508,505,831,224
3602,497,502,508,75
3603,227,228,515,500
3604,234,79,495,507
3605,82,503,81,509
3606,233,503,234,509
3607,514,830,235,236
3608,78,513,509,511
3609,195,33,493,510
3610,500,230,512,76
3611,456,498,499,830
3612,500,499,512,230
3613,508,502,229,75
3614,504,228,515,231
3615,235,830,512,236
3616,505,503,511,507
3617,194,455,456,830
3618,513,514,506,235
3619,233,509,234,81
3620,504,514,515,236
3621,514,504,830,236
3622,498,456,35,192
3623,830,500,512,236
3624,498,223,494,184
3625,498,499,830,501
3626,34,455,830,511
3627,195,455,34,511
3628,194,34,830,235
3629,504,514,231,515
3630,504,508,505,831
3631,503,505,511,506
3632,513,503,511,506
3633,194,456,499,830
3634,33,226,493,510
3635,502,498,830,501
3636,509,503,234,507
3637,498,456,32,184
3638,227,515,76,500
3639,35,499,230,512
3640,830,506,504,514
3641,504,506,830,831
3642,507,496,511,505
3643,507,496,493,511
3644,493,496,507,495
3645,493,510,507,511
3646,507,510,493,495
3647,511,455,493,195
3648,511,493,455,830
3649,522,93,92,91
3650,516,63,523,221
3651,525,240,69,518
3652,238,516,63,523
3653,527,92,11,523
3654,516,520,523,517
3655,173,489,179,414
3656,520,245,523,517
3657,524,85,240,518
3658,489,173,179,8
3659,237,516,517,520
3660,526,87,239,517
3661,237,87,526,517
3662,238,245,89,517
3663,243,519,518,524
3664,63,516,62,221
3665,489,68,69,525
3666,489,14,414,518
3667,19,18,197,518
3668,516,238,517,523
3669,489,14,179,414
3670,522,244,521,527
3671,414,19,197,518
3672,246,526,239,517
3673,527,244,521,28
3674,62,489,8,221
3675,520,522,245,91
3676,522,244,527,93
3677,522,92,245,91
3678,527,525,519,523
3679,173,489,414,523
3680,173,489,523,221
3681,173,414,11,523
3682,88,526,241,520
3683,489,173,8,221
3684,526,237,517,520
3685,526,520,517,245
3686,520,527,519,523
3687,242,520,519,525
3688,489,414,523,525
3689,68,516,525,489
3690,414,527,518,197
3691,522,527,519,520
3692,86,243,524,519
3693,520,516,523,525
3694,527,414,518,525
3695,414,527,11,523
3696,87,237,526,520
3697,521,29,197,28
3698,516,489,523,525
3699,489,525,69,518
3700,527,521,197,28
3701,18,197,518,26
3702,90,246,517,245
3703,18,19,414,518
3704,489,414,525,518
3705,238,245,517,523
3706,519,525,518,524
3707,414,527,523,525
3708,516,68,525,237
3709,526,246,245,517
3710,88,237,520,242
3711,522,527,92,93
3712,87,88,237,520
3713,246,90,517,239
3714,527,525,518,519
3715,243,521,518,519
3716,516,68,62,489
3717,18,14,518,414
3718,237,516,520,525
3719,242,237,520,525
3720,527,521,518,197
3721,88,87,526,520
3722,527,19,197,414
3723,521,527,518,519
3724,221,173,8,6
3725,520,526,241,91
3726,197,521,518,26
3727,14,489,69,518
3728,524,525,518,240
3729,521,243,518,26
3730,29,521,197,26
3731,19,527,11,414
3732,86,242,519,524
3733,242,525,519,524
3734,245,90,89,517
3735,243,86,524,85
3736,243,521,29,26
3737,527,522,519,521
3738,525,520,519,523
3739,526,245,91,520
3740,91,245,526,246
3741,243,518,85,524
3742,85,518,243,26
3743,516,221,489,62
3744,489,221,516,523
3745,520,527,245,522
3746,520,245,527,523
3747,92,245,527,522
3748,92,527,245,523
3749,832,244,522,544
3750,832,532,253,530
3751,539,252,519,536
3752,534,256,100,528
3753,832,531,535,529
3754,256,832,542,540
3755,832,256,522,540
3756,521,193,537,29
3757,198,832,28,193
3758,31,193,30,535
3759,531,832,535,530
3760,93,832,522,544
3761,537,521,29,536
3762,832,534,528,256
3763,522,832,519,521
3764,530,832,535,538
3765,542,832,98,539
3766,832,521,537,536
3767,543,529,101,528
3768,256,534,100,541
3769,832,193,538,537
3770,832,539,519,536
3771,521,243,536,519
3772,258,832,544,529
3773,521,243,29,536
3774,198,544,535,250
3775,96,533,248,255
3776,531,832,528,529
3777,533,96,541,255
3778,534,832,533,541
3779,258,529,250,101
3780,530,832,538,253
3781,832,257,253,532
3782,94,832,539,98
3783,256,91,522,540
3784,832,256,528,543
3785,534,247,100,541
3786,534,832,528,531
3787,95,97,532,253
3788,93,832,544,258
3789,93,832,258,256
3790,533,257,248,255
3791,540,91,522,520
3792,93,832,256,522
3793,258,832,529,543
3794,254,542,539,540
3795,540,254,88,520
3796,258,544,250,529
3797,832,257,532,533
3798,544,529,535,250
3799,198,832,193,535
3800,521,832,519,536
3801,258,832,543,256
3802,533,257,532,248
3803,242,252,519,539
3804,94,832,537,539
3805,532,95,253,530
3806,532,832,531,530
3807,254,242,88,520
3808,832,543,528,529
3809,254,540,539,520
3810,241,540,88,520
3811,538,30,535,249
3812,544,832,535,529
3813,95,530,538,253
3814,832,193,535,538
3815,258,543,529,101
3816,193,198,535,31
3817,533,832,531,532
3818,534,832,531,533
3819,832,244,521,522
3820,530,538,535,249
3821,832,257,533,255
3822,257,97,532,248
3823,243,86,536,519
3824,86,252,536,519
3825,832,244,544,521
3826,539,832,519,520
3827,832,193,537,521
3828,256,93,522,91
3829,242,254,539,520
3830,253,832,538,537
3831,544,244,522,93
3832,241,91,540,520
3833,543,528,101,251
3834,530,95,538,249
3835,97,257,532,253
3836,247,96,541,533
3837,540,832,520,522
3838,832,544,28,521
3839,542,832,539,540
3840,255,832,542,541
3841,534,247,541,533
3842,533,832,255,541
3843,544,832,28,198
3844,94,832,253,537
3845,540,832,539,520
3846,542,539,98,99
3847,832,257,255,98
3848,257,832,253,98
3849,94,539,537,536
3850,94,252,539,536
3851,544,244,28,521
3852,832,544,535,198
3853,832,94,253,98
3854,242,539,519,520
3855,254,542,99,539
3856,242,252,86,519
3857,542,255,99,98
3858,521,193,29,28
3859,251,256,543,528
3860,832,255,542,98
3861,251,256,528,100
3862,193,538,30,535
3863,31,198,535,250
3864,193,832,28,521
3865,539,832,537,536
3866,832,522,519,520
3867,832,256,542,541
3868,832,534,256,541
3869,556,102,557,553
3870,560,559,561,546
3871,70,102,556,553
3872,547,261,546,564
3873,547,551,545,262
3874,551,562,110,263
3875,491,58,73,112
3876,552,558,549,550
3877,558,268,111,552
3878,559,558,550,549
3879,264,558,111,552
3880,564,66,486,64
3881,267,104,557,560
3882,564,559,486,546
3883,559,556,553,217
3884,268,58,479,559
3885,259,558,105,550
3886,551,562,563,564
3887,547,551,563,564
3888,212,552,55,215
3889,547,551,262,108
3890,552,111,55,215
3891,261,547,563,564
3892,551,563,263,108
3893,102,107,557,553
3894,555,559,560,546
3895,102,103,556,557
3896,107,559,557,553
3897,104,560,106,548
3898,479,53,486,54
3899,268,558,559,479
3900,107,560,267,557
3901,564,261,546,109
3902,562,265,64,554
3903,559,555,486,546
3904,268,58,215,479
3905,549,212,52,480
3906,547,551,546,545
3907,555,59,556,486
3908,551,547,546,564
3909,479,559,486,549
3910,555,564,486,546
3911,558,264,105,550
3912,267,104,560,106
3913,545,259,561,260
3914,559,558,549,479
3915,548,555,109,104
3916,59,219,556,486
3917,556,70,217,60
3918,103,555,556,557
3919,222,491,73,553
3920,551,564,546,550
3921,559,556,217,486
3922,219,556,486,217
3923,551,547,563,108
3924,559,555,556,486
3925,549,559,486,564
3926,66,555,486,59
3927,266,66,486,564
3928,106,548,560,260
3929,555,266,486,564
3930,555,266,564,546
3931,562,551,549,564
3932,58,491,559,112
3933,213,479,549,480
3934,268,479,215,552
3935,555,66,486,266
3936,559,491,217,553
3937,546,545,561,260
3938,552,212,549,480
3939,564,559,546,550
3940,266,564,546,109
3941,549,559,564,550
3942,213,549,52,480
3943,479,552,549,480
3944,562,551,110,549
3945,548,555,560,546
3946,558,479,552,549
3947,262,545,105,550
3948,555,103,104,557
3949,559,479,486,54
3950,104,560,548,555
3951,559,107,557,560
3952,549,110,554,52
3953,219,556,217,60
3954,264,558,552,550
3955,559,556,555,557
3956,552,268,111,215
3957,551,545,550,546
3958,491,222,217,553
3959,547,261,563,108
3960,549,562,564,554
3961,104,560,555,557
3962,562,551,563,263
3963,559,556,557,553
3964,553,491,73,112
3965,559,555,560,557
3966,551,549,564,550
3967,107,559,553,112
3968,103,555,59,556
3969,212,552,215,480
3970,546,545,550,561
3971,213,549,554,52
3972,552,479,215,480
3973,262,551,545,550
3974,559,546,550,561
3975,545,259,105,550
3976,558,559,550,561
3977,559,491,553,112
3978,268,558,479,552
3979,268,58,559,112
3980,54,559,58,491
3981,54,58,559,479
3982,560,546,260,548
3983,260,546,560,561
3984,562,554,110,265
3985,110,554,562,549
3986,213,53,549,479
3987,213,549,53,554
3988,486,549,53,479
3989,546,555,109,548
3990,546,109,555,266
3991,217,70,553,222
3992,217,553,70,556
3993,217,559,54,491
3994,217,54,559,486
3995,554,564,64,562
3996,561,550,259,545
3997,561,259,550,558
3998,64,53,564,554
3999,64,564,53,486
4000,549,564,53,554
4001,549,53,564,486
4002,834,840,64,488
4003,833,573,568,587
4004,834,424,835,488
4005,266,66,564,840
4006,573,113,269,568
4007,276,573,584,587
4008,269,576,572,270
4009,833,573,587,837
4010,590,65,839,592
4011,177,574,425,575
4012,587,584,579,837
4013,266,590,840,567
4014,582,168,426,581
4015,577,277,838,575
4016,833,836,839,835
4017,839,836,585,835
4018,576,573,269,568
4019,582,593,175,22
4020,833,573,837,576
4021,425,427,160,575
4022,584,277,838,577
4023,261,109,564,567
4024,585,584,581,837
4025,833,836,835,837
4026,580,839,281,586
4027,833,576,834,578
4028,116,590,566,839
4029,563,263,108,270
4030,833,565,836,568
4031,587,833,836,568
4032,562,840,564,64
4033,576,574,834,578
4034,834,833,835,837
4035,263,563,840,578
4036,574,576,834,577
4037,562,263,563,840
4038,839,571,566,594
4039,427,167,588,426
4040,565,836,570,839
4041,590,65,488,839
4042,840,66,64,488
4043,574,834,265,589
4044,574,834,425,575
4045,276,113,573,587
4046,839,582,593,835
4047,565,836,568,570
4048,177,834,24,425
4049,585,582,835,581
4050,834,574,577,575
4051,425,177,575,20
4052,23,424,592,175
4053,110,574,578,265
4054,579,836,583,570
4055,576,573,837,577
4056,573,113,568,587
4057,424,834,838,425
4058,277,838,427,588
4059,573,584,587,837
4060,562,110,578,265
4061,584,577,838,837
4062,577,834,838,837
4063,66,840,64,564
4064,584,588,581,838
4065,563,263,270,578
4066,836,587,579,837
4067,593,839,835,592
4068,835,424,838,426
4069,833,834,840,578
4070,424,23,835,488
4071,833,573,576,568
4072,839,593,591,592
4073,839,583,570,273
4074,272,571,594,115
4075,563,261,840,569
4076,24,834,64,488
4077,427,21,277,588
4078,280,593,591,580
4079,839,571,594,586
4080,833,576,837,834
4081,836,579,583,585
4082,576,568,269,572
4083,271,266,109,567
4084,590,839,840,567
4085,117,280,591,580
4086,582,839,580,583
4087,265,834,64,589
4088,839,582,585,583
4089,274,579,570,275
4090,834,576,837,577
4091,839,836,583,585
4092,839,583,273,586
4093,839,580,583,586
4094,839,571,570,566
4095,427,21,160,277
4096,571,839,570,273
4097,261,563,840,564
4098,271,590,566,115
4099,594,279,281,586
4100,573,277,584,577
4101,424,835,175,426
4102,582,593,280,580
4103,839,66,840,488
4104,840,563,270,578
4105,834,424,24,425
4106,563,562,840,564
4107,836,568,570,275
4108,839,580,281,591
4109,839,594,281,586
4110,834,577,838,575
4111,424,834,835,838
4112,839,590,840,66
4113,177,574,834,425
4114,590,266,840,66
4115,114,279,594,586
4116,425,834,838,575
4117,168,582,426,175
4118,427,277,160,575
4119,591,839,592,281
4120,579,836,570,275
4121,840,562,265,64
4122,271,590,567,566
4123,571,566,594,115
4124,266,840,564,567
4125,573,584,837,577
4126,571,114,586,273
4127,562,263,840,578
4128,574,177,834,589
4129,65,590,488,66
4130,838,835,426,581
4131,840,834,64,265
4132,834,837,835,838
4133,177,574,20,278
4134,277,584,838,588
4135,427,425,838,575
4136,113,587,275,568
4137,588,167,581,426
4138,583,274,570,273
4139,116,839,566,594
4140,566,116,594,115
4141,571,114,594,586
4142,582,835,426,175
4143,167,168,581,426
4144,839,833,840,567
4145,585,837,581,835
4146,563,569,840,270
4147,574,110,278,589
4148,569,563,108,270
4149,837,584,581,838
4150,177,574,278,589
4151,584,579,837,585
4152,424,834,24,488
4153,23,424,24,488
4154,569,833,840,572
4155,580,117,281,591
4156,569,840,270,572
4157,261,563,108,569
4158,110,574,265,589
4159,582,839,585,835
4160,116,590,839,592
4161,424,23,592,835
4162,833,565,572,569
4163,835,593,592,175
4164,565,833,572,568
4165,427,167,21,588
4166,834,24,64,589
4167,834,177,24,589
4168,833,587,836,837
4169,263,562,110,578
4170,839,116,592,281
4171,590,839,488,66
4172,168,582,175,22
4173,424,835,592,175
4174,116,65,590,592
4175,114,571,594,272
4176,427,425,426,838
4177,590,116,566,115
4178,425,424,426,838
4179,835,837,581,838
4180,116,839,594,281
4181,576,833,568,572
4182,117,580,281,586
4183,835,582,426,581
4184,279,117,281,586
4185,565,839,570,566
4186,274,579,583,570
4187,836,839,583,570
4188,271,266,567,590
4189,839,590,566,567
4190,266,109,567,564
4191,571,839,273,586
4192,565,839,566,567
4193,427,588,838,426
4194,425,575,160,20
4195,573,277,276,584
4196,593,582,175,835
4197,574,177,20,575
4198,277,427,838,575
4199,593,582,280,22
4200,838,588,581,426
4201,578,270,572,576
4202,572,270,578,840
4203,572,833,578,576
4204,578,833,572,840
4205,836,585,837,579
4206,837,585,836,835
4207,835,833,488,839
4208,835,488,833,834
4209,840,488,833,839
4210,840,833,488,834
4211,567,833,569,565
4212,567,569,833,840
4213,840,261,567,569
4214,840,567,261,564
4215,65,220,839,592
4216,65,839,220,488
4217,839,220,835,592
4218,839,835,220,488
4219,835,220,23,592
4220,835,23,220,488
4221,836,275,587,568
4222,587,275,836,579
4223,265,578,834,574
4224,265,840,578,562
4225,265,578,840,834
4226,580,593,839,582
4227,580,839,593,591
4228,839,833,565,836
4229,839,565,833,567
4230,600,282,596,25
4231,194,235,512,444
4232,598,537,444,536
4233,26,596,25,444
4234,282,598,596,118
4235,249,595,597,538
4236,538,443,597,599
4237,95,249,597,538
4238,595,443,249,30
4239,283,598,119,596
4240,443,595,191,30
4241,95,595,597,249
4242,538,599,253,537
4243,599,538,253,597
4244,191,35,230,512
4245,597,236,512,76
4246,34,194,444,235
4247,599,236,512,597
4248,283,252,598,536
4249,595,443,512,597
4250,600,34,25,444
4251,193,443,537,444
4252,600,34,444,235
4253,95,538,597,253
4254,595,597,512,76
4255,598,283,536,596
4256,598,600,596,444
4257,443,538,30,193
4258,443,595,249,538
4259,599,94,253,537
4260,443,599,537,444
4261,598,600,235,78
4262,537,599,598,444
4263,600,34,235,78
4264,443,249,30,538
4265,35,194,512,443
4266,443,599,512,597
4267,85,283,596,536
4268,598,600,444,235
4269,86,252,283,536
4270,194,443,444,512
4271,94,252,536,598
4272,538,443,537,193
4273,283,86,536,85
4274,235,599,512,444
4275,86,243,536,85
4276,443,599,444,512
4277,595,443,597,538
4278,598,119,596,118
4279,443,538,537,599
4280,284,600,282,598
4281,595,95,597,76
4282,236,599,512,235
4283,537,193,444,29
4284,252,283,598,119
4285,284,600,598,78
4286,94,252,598,119
4287,599,598,444,235
4288,443,35,191,512
4289,595,512,230,76
4290,596,600,25,444
4291,598,536,444,596
4292,536,537,444,29
4293,284,598,282,118
4294,600,598,596,282
4295,191,512,595,443
4296,595,512,191,230
4297,598,537,94,599
4298,598,94,537,536
4299,29,243,444,536
4300,444,243,29,26
4301,243,596,444,536
4302,444,596,243,26
4303,243,85,596,536
4304,596,85,243,26
4305,555,103,59,604
4306,605,120,121,289
4307,590,66,65,59
4308,605,289,121,604
4309,555,266,109,602
4310,590,290,65,116
4311,590,606,290,116
4312,590,115,606,116
4313,603,61,604,290
4314,605,555,104,285
4315,286,122,601,606
4316,590,65,604,59
4317,555,66,590,59
4318,121,289,288,604
4319,603,289,288,124
4320,61,603,287,290
4321,122,602,601,606
4322,555,266,602,590
4323,103,605,121,604
4324,602,555,104,109
4325,602,605,604,606
4326,555,602,104,285
4327,289,603,290,124
4328,65,61,604,59
4329,590,271,601,115
4330,289,603,288,604
4331,602,590,271,601
4332,590,602,606,601
4333,555,590,604,59
4334,605,555,604,103
4335,605,289,604,606
4336,266,602,590,271
4337,603,123,290,124
4338,605,555,103,104
4339,123,603,290,287
4340,590,602,604,606
4341,115,286,601,606
4342,602,266,109,271
4343,602,555,605,285
4344,555,602,605,604
4345,289,606,290,604
4346,590,115,601,606
4347,555,66,266,590
4348,605,602,285,120
4349,606,590,290,604
4350,602,555,590,604
4351,603,289,290,604
4352,65,604,290,590
4353,65,290,604,61
4354,122,606,120,602
4355,122,120,606,289
4356,605,120,606,602
4357,605,606,120,289
4358,408,407,175,593
4359,591,117,281,610
4360,591,607,610,593
4361,11,608,292,172
4362,11,92,292,608
4363,238,487,611,523
4364,592,487,408,608
4365,610,612,592,608
4366,220,592,408,23
4367,22,407,169,593
4368,220,23,408,174
4369,487,220,408,174
4370,609,407,610,607
4371,123,238,287,611
4372,591,117,291,280
4373,612,487,608,611
4374,612,290,65,61
4375,407,22,175,593
4376,612,591,610,592
4377,591,612,281,592
4378,608,613,292,172
4379,612,487,592,608
4380,117,591,291,610
4381,610,591,593,592
4382,487,608,611,523
4383,238,89,245,611
4384,609,610,408,608
4385,487,63,221,523
4386,609,125,613,607
4387,63,238,523,487
4388,287,290,611,61
4389,607,591,291,280
4390,592,23,175,408
4391,11,608,409,523
4392,613,609,608,292
4393,220,487,408,592
4394,221,174,409,6
4395,608,408,409,523
4396,612,487,611,61
4397,407,609,613,607
4398,92,11,523,608
4399,245,92,523,608
4400,591,612,610,281
4401,290,612,611,61
4402,612,592,65,116
4403,612,281,592,116
4404,125,609,291,607
4405,174,487,409,408
4406,408,608,409,172
4407,607,609,291,610
4408,591,607,291,610
4409,290,123,287,611
4410,607,407,610,593
4411,11,173,523,409
4412,238,245,523,611
4413,608,11,409,172
4414,487,220,65,592
4415,245,608,523,611
4416,609,407,408,610
4417,408,487,523,608
4418,612,487,65,592
4419,487,612,65,61
4420,221,173,409,523
4421,610,592,408,608
4422,613,407,12,172
4423,407,607,12,169
4424,125,607,12,613
4425,487,174,409,221
4426,592,408,175,593
4427,487,221,409,523
4428,173,221,409,6
4429,89,238,123,611
4430,607,591,280,593
4431,22,607,280,593
4432,609,125,292,613
4433,408,487,409,523
4434,290,612,65,116
4435,607,407,12,613
4436,607,22,169,593
4437,238,63,61,487
4438,407,607,169,593
4439,608,613,408,609
4440,608,408,613,172
4441,407,408,613,609
4442,407,613,408,172
4443,593,408,610,592
4444,593,610,408,407
4445,61,611,238,487
4446,61,238,611,287
4447,553,614,107,40
4448,553,102,614,70
4449,73,74,553,112
4450,48,553,615,112
4451,222,553,67,70
4452,74,48,615,112
4453,126,102,67,614
4454,553,74,615,112
4455,614,102,67,70
4456,614,553,67,615
4457,47,43,615,48
4458,126,43,614,615
4459,48,43,614,40
4460,48,43,615,614
4461,553,222,67,615
4462,222,74,67,615
4463,102,553,614,107
4464,74,222,553,615
4465,222,73,74,553
4466,553,48,615,614
4467,48,553,112,107
4468,74,47,615,48
4469,126,614,67,615
4470,553,614,67,70
4471,553,48,614,40
4472,48,553,107,40
4473,556,219,59,485
4474,239,618,90,517
4475,238,89,603,517
4476,70,218,556,67
4477,556,218,219,485
4478,604,617,121,616
4479,618,603,288,124
4480,516,238,63,61
4481,603,516,485,61
4482,238,516,603,61
4483,516,617,616,517
4484,516,218,485,62
4485,123,89,603,238
4486,617,618,517,603
4487,604,102,126,103
4488,126,604,103,121
4489,604,617,616,516
4490,126,616,121,127
4491,102,70,556,67
4492,126,604,121,616
4493,238,287,61,603
4494,516,62,485,63
4495,89,123,603,124
4496,618,89,603,124
4497,218,556,219,60
4498,616,617,121,127
4499,618,617,288,603
4500,89,618,90,124
4501,618,89,90,517
4502,516,218,616,485
4503,604,556,59,485
4504,218,516,616,68
4505,67,218,616,68
4506,604,516,616,485
4507,293,617,616,127
4508,287,123,603,238
4509,102,604,556,103
4510,556,218,485,616
4511,617,239,517,618
4512,604,617,288,121
4513,604,556,485,616
4514,617,237,616,517
4515,516,63,485,61
4516,556,604,126,616
4517,102,556,126,67
4518,102,604,126,556
4519,604,617,517,603
4520,617,604,517,516
4521,516,604,517,603
4522,67,556,126,616
4523,237,617,616,293
4524,218,556,67,616
4525,617,239,87,517
4526,604,603,485,61
4527,516,237,616,68
4528,556,604,59,103
4529,218,516,68,62
4530,237,516,616,517
4531,617,604,288,603
4532,293,617,87,517
4533,604,516,485,603
4534,604,485,59,61
4535,516,238,603,517
4536,89,618,603,517
4537,218,70,556,60
4538,237,293,87,517
4539,237,617,293,517
4540,624,631,847,848
4541,297,844,623,632
4542,308,130,643,843
4543,629,474,847,208
4544,637,306,845,650
4545,626,629,475,847
4546,640,299,639,625
4547,842,844,841,847
4548,492,842,58,214
4549,631,844,632,625
4550,51,130,843,71
4551,133,295,638,621
4552,631,622,844,846
4553,303,81,627,84
4554,624,629,626,847
4555,846,635,628,296
4556,846,634,636,845
4557,308,646,843,643
4558,51,843,130,648
4559,297,632,298,129
4560,268,842,58,112
4561,651,846,305,845
4562,650,637,843,845
4563,631,846,628,296
4564,624,848,845,628
4565,629,204,475,208
4566,651,306,636,305
4567,624,628,845,634
4568,631,624,847,625
4569,637,306,636,845
4570,846,622,621,296
4571,640,639,847,625
4572,843,644,309,645
4573,492,848,643,71
4574,842,268,641,112
4575,848,650,843,845
4576,83,81,627,82
4577,492,848,74,847
4578,648,50,626,304
4579,74,48,641,847
4580,83,304,647,627
4581,624,848,843,845
4582,642,842,623,111
4583,303,637,302,630
4584,846,619,649,621
4585,303,81,307,627
4586,650,848,841,845
4587,651,650,841,845
4588,848,846,841,845
4589,622,846,619,841
4590,216,56,649,482
4591,846,651,841,845
4592,619,846,649,841
4593,643,848,843,71
4594,216,651,57,841
4595,481,620,211,482
4596,630,637,302,634
4597,48,74,641,112
4598,635,128,638,301
4599,640,629,49,299
4600,628,846,845,634
4601,651,216,649,841
4602,642,842,844,623
4603,633,647,304,627
4604,844,622,623,841
4605,846,305,621,649
4606,131,308,644,843
4607,626,633,843,648
4608,268,620,842,111
4609,308,131,130,843
4610,297,631,622,844
4611,624,626,848,847
4612,204,629,475,626
4613,842,844,847,639
4614,630,624,845,634
4615,848,492,74,71
4616,483,216,57,841
4617,624,629,847,625
4618,842,492,847,841
4619,637,303,307,843
4620,622,844,846,841
4621,639,844,847,625
4622,626,624,848,843
4623,210,51,648,475
4624,474,629,475,208
4625,629,640,847,625
4626,214,842,483,841
4627,844,642,632,300
4628,631,297,632,844
4629,620,481,841,482
4630,268,642,842,639
4631,842,639,847,641
4632,492,842,214,841
4633,620,619,211,482
4634,131,644,309,843
4635,49,629,208,204
4636,846,305,636,638
4637,483,216,841,482
4638,631,622,846,296
4639,842,620,481,841
4640,111,642,298,623
4641,848,846,845,628
4642,492,848,841,650
4643,635,295,638,128
4644,637,630,845,634
4645,639,640,847,641
4646,632,642,298,129
4647,626,210,475,50
4648,648,50,210,626
4649,306,651,636,845
4650,648,131,309,843
4651,642,842,639,844
4652,633,647,627,843
4653,303,307,843,627
4654,642,632,300,129
4655,651,846,649,305
4656,633,647,648,304
4657,204,626,475,50
4658,306,637,134,650
4659,646,650,132,134
4660,642,268,842,111
4661,216,841,482,649
4662,642,844,632,298
4663,846,651,649,841
4664,842,620,623,111
4665,268,620,111,215
4666,214,483,57,841
4667,56,619,649,482
4668,648,626,475,843
4669,848,650,643,843
4670,631,844,848,846
4671,645,82,647,627
4672,650,646,643,843
4673,633,624,843,630
4674,51,648,475,843
4675,474,51,475,843
4676,844,848,841,847
4677,846,622,619,621
4678,639,844,625,300
4679,844,632,625,300
4680,635,846,301,638
4681,640,629,847,208
4682,81,83,627,84
4683,842,620,215,481
4684,128,635,621,296
4685,295,635,621,128
4686,306,651,845,650
4687,133,294,621,649
4688,846,635,301,628
4689,492,848,847,841
4690,619,620,623,841
4691,268,620,215,842
4692,492,72,71,643
4693,72,650,132,643
4694,619,620,841,482
4695,481,483,841,482
4696,640,629,299,625
4697,481,842,841,483
4698,846,305,845,636
4699,305,133,621,649
4700,642,844,639,300
4701,635,846,621,296
4702,492,214,57,841
4703,650,651,841,57
4704,619,294,649,621
4705,299,639,625,300
4706,845,634,636,302
4707,630,633,627,843
4708,650,646,132,643
4709,846,301,636,634
4710,72,492,57,650
4711,646,308,132,643
4712,637,845,636,302
4713,622,297,844,623
4714,633,624,626,843
4715,481,842,483,215
4716,846,305,638,621
4717,626,210,648,475
4718,637,630,843,845
4719,650,637,134,843
4720,646,650,134,843
4721,842,268,58,215
4722,633,647,843,648
4723,842,58,483,215
4724,637,634,845,302
4725,846,635,621,638
4726,83,82,627,647
4727,651,305,636,845
4728,635,295,621,638
4729,634,301,636,302
4730,844,846,841,848
4731,305,133,638,621
4732,642,844,298,623
4733,620,481,211,55
4734,648,843,309,647
4735,304,633,626,648
4736,56,294,649,619
4737,640,629,208,49
4738,846,301,634,628
4739,81,82,645,627
4740,303,637,630,843
4741,644,646,307,843
4742,848,492,643,650
4743,492,72,643,650
4744,307,81,645,627
4745,131,648,130,843
4746,631,844,847,848
4747,641,640,847,208
4748,308,644,843,646
4749,844,631,847,625
4750,842,268,639,641
4751,622,619,623,841
4752,130,643,843,71
4753,309,82,647,645
4754,492,650,841,57
4755,843,309,647,645
4756,620,842,623,841
4757,301,846,636,638
4758,842,844,623,841
4759,843,645,647,627
4760,630,624,843,845
4761,843,307,645,627
4762,842,58,214,483
4763,620,111,215,55
4764,644,307,645,843
4765,303,630,627,843
4766,481,620,215,55
4767,841,619,482,649
4768,56,619,482,211
4769,631,846,848,628
4770,624,631,848,628
4771,297,631,296,622
4772,629,474,475,847
4773,632,844,623,298
4774,297,632,623,298
4775,47,48,847,474
4776,47,847,48,74
4777,848,47,847,474
4778,848,847,47,74
4779,71,848,47,74
4780,847,48,208,474
4781,847,208,48,641
4782,112,842,847,641
4783,112,58,847,842
4784,492,847,58,842
4785,847,475,848,474
4786,847,848,475,626
4787,843,848,475,474
4788,843,475,848,626
4789,843,134,307,637
4790,843,307,134,646
4791,848,47,843,71
4792,848,843,47,474
4793,51,843,47,71
4794,51,47,843,474
4795,74,112,847,641
4796,73,74,847,492
4797,847,74,73,112
4798,847,58,73,492
4799,73,58,847,112
4800,660,318,653,658
4801,316,652,313,656
4802,255,542,659,849
4803,288,618,664,617
4804,663,288,664,617
4805,666,663,665,850
4806,96,316,656,661
4807,318,660,137,658
4808,256,657,662,541
4809,542,99,255,659
4810,850,659,137,254
4811,850,654,653,315
4812,659,99,137,254
4813,660,850,137,658
4814,652,849,661,312
4815,542,255,541,849
4816,314,652,662,138
4817,256,662,849,541
4818,652,317,662,138
4819,652,317,138,313
4820,655,311,659,312
4821,654,663,122,315
4822,657,662,541,849
4823,655,311,850,659
4824,663,850,664,665
4825,526,617,87,293
4826,663,121,654,289
4827,850,542,849,659
4828,289,663,288,664
4829,666,655,849,662
4830,663,666,315,850
4831,850,655,659,849
4832,666,655,315,850
4833,316,652,135,313
4834,655,666,315,314
4835,655,850,653,315
4836,311,660,850,659
4837,850,663,654,315
4838,121,663,288,289
4839,666,655,662,314
4840,652,655,849,312
4841,239,618,617,664
4842,850,663,664,617
4843,526,665,91,246
4844,652,316,135,661
4845,654,289,120,122
4846,652,317,656,662
4847,660,311,653,136
4848,663,850,654,658
4849,850,660,653,658
4850,850,127,137,658
4851,542,850,254,659
4852,318,310,653,658
4853,618,124,288,664
4854,663,121,288,617
4855,850,127,658,617
4856,317,657,662,100
4857,526,665,246,664
4858,127,850,137,254
4859,665,850,664,617
4860,656,652,849,661
4861,239,526,246,664
4862,99,542,254,659
4863,850,542,254,540
4864,662,657,656,849
4865,657,256,662,100
4866,311,660,653,850
4867,652,317,313,656
4868,121,663,654,658
4869,657,247,541,100
4870,256,657,541,100
4871,121,289,120,654
4872,654,850,653,658
4873,127,121,658,617
4874,665,526,293,617
4875,655,311,653,850
4876,665,526,91,241
4877,665,241,91,540
4878,542,850,665,540
4879,659,255,849,661
4880,317,657,656,662
4881,655,652,849,662
4882,316,652,656,661
4883,127,850,293,617
4884,850,665,293,617
4885,239,90,664,246
4886,314,655,662,652
4887,124,289,288,664
4888,90,239,664,618
4889,654,121,658,120
4890,256,665,91,540
4891,256,542,665,540
4892,88,526,87,293
4893,850,127,293,254
4894,660,850,659,137
4895,654,120,658,310
4896,652,135,312,661
4897,256,666,849,662
4898,96,247,541,656
4899,662,652,849,656
4900,310,654,653,658
4901,655,666,849,850
4902,90,124,618,664
4903,96,541,849,656
4904,542,256,849,541
4905,850,542,665,849
4906,666,850,665,849
4907,542,256,665,849
4908,256,666,665,849
4909,289,663,122,654
4910,526,239,87,617
4911,96,656,849,661
4912,658,663,617,121
4913,658,617,663,850
4914,241,88,665,526
4915,241,665,88,540
4916,293,665,88,526
4917,849,96,255,541
4918,849,255,96,661
4919,318,653,136,660
4920,318,136,653,310
4921,664,526,617,239
4922,664,617,526,665
4923,312,849,659,655
4924,312,659,849,661
4925,656,541,657,247
4926,656,657,541,849
4927,665,88,850,293
4928,665,850,88,540
4929,254,850,88,293
4930,254,88,850,540
4931,419,165,690,166
4932,674,856,676,675
4933,187,452,670,15
4934,860,856,676,692
4935,92,527,864,695
4936,674,140,698,326
4937,860,856,687,681
4938,864,244,544,857
4939,447,864,544,857
4940,448,447,857,858
4941,447,244,544,864
4942,292,696,683,328
4943,676,852,692,324
4944,863,685,417,682
4945,667,321,855,686
4946,864,860,695,857
4947,180,181,865,416
4948,452,449,187,855
4949,856,860,687,692
4950,864,453,862,858
4951,860,856,695,857
4952,674,856,675,857
4953,325,856,698,684
4954,861,686,854,855
4955,852,689,691,692
4956,861,693,692,691
4957,856,694,695,857
4958,682,125,12,613
4959,19,418,11,527
4960,19,418,451,181
4961,675,676,673,858
4962,863,693,681,860
4963,527,447,244,28
4964,674,325,676,856
4965,11,863,417,172
4966,329,696,684,698
4967,325,698,856,674
4968,696,856,698,694
4969,420,419,855,421
4970,853,852,858,673
4971,685,863,417,419
4972,418,863,11,527
4973,325,856,684,687
4974,864,451,862,453
4975,669,449,854,187
4976,854,667,670,855
4977,689,852,323,692
4978,852,689,861,691
4979,672,188,320,450
4980,27,672,320,450
4981,682,164,417,172
4982,863,859,861,862
4983,689,668,677,851
4984,863,92,11,527
4985,685,419,165,690
4986,859,863,861,693
4987,696,683,328,684
4988,682,863,172,417
4989,676,856,687,692
4990,678,852,676,324
4991,181,180,865,452
4992,686,321,855,688
4993,667,321,686,322
4994,449,452,865,855
4995,853,852,862,858
4996,453,853,450,862
4997,420,153,421,855
4998,188,27,320,450
4999,325,676,687,324
5000,668,689,854,851
5001,671,680,673,858
5002,859,686,861,855
5003,420,452,670,855
5004,125,682,683,613
5005,672,669,851,320
5006,667,321,670,855
5007,859,863,419,416
5008,139,689,677,323
5009,678,853,672,673
5010,668,319,677,851
5011,689,139,677,668
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5013,419,690,855,421
5014,854,669,851,862
5015,153,421,855,688
5016,859,419,855,420
5017,92,863,864,527
5018,861,859,855,862
5019,92,863,11,292
5020,321,153,670,855
5021,527,92,93,695
5022,421,153,10,688
5023,852,678,673,853
5024,860,687,692,681
5025,685,419,417,165
5026,864,527,857,695
5027,860,852,692,676
5028,679,857,680,250
5029,448,198,680,857
5030,12,682,613,172
5031,180,452,420,865
5032,860,864,862,858
5033,679,675,680,857
5034,198,544,250,680
5035,863,864,865,862
5036,198,857,544,680
5037,292,125,683,613
5038,164,685,417,165
5039,187,854,670,855
5040,697,679,258,857
5041,683,856,687,684
5042,679,697,101,327
5043,856,674,698,694
5044,696,856,683,684
5045,857,697,695,258
5046,669,853,851,862
5047,447,864,857,858
5048,447,527,244,864
5049,693,863,861,860
5050,854,861,855,862
5051,418,863,527,864
5052,188,672,669,450
5053,418,19,197,527
5054,853,454,450,672
5055,451,449,862,453
5056,671,448,680,858
5057,852,861,692,691
5058,319,668,669,851
5059,672,320,851,677
5060,451,181,865,452
5061,667,669,854,187
5062,860,863,861,862
5063,244,527,93,695
5064,244,527,857,864
5065,863,292,683,682
5066,125,292,683,328
5067,319,669,677,851
5068,418,451,181,865
5069,452,180,420,15
5070,326,674,694,698
5071,863,859,865,416
5072,322,667,668,854
5073,690,419,166,421
5074,452,420,865,855
5075,852,860,858,676
5076,667,686,855,854
5077,856,860,858,857
5078,452,187,670,855
5079,859,686,691,861
5080,686,859,691,690
5081,454,671,672,853
5082,672,853,669,450
5083,856,696,695,694
5084,693,859,691,861
5085,852,853,851,672
5086,859,693,691,690
5087,853,669,450,862
5088,689,322,668,854
5089,449,854,187,855
5090,685,164,417,682
5091,447,451,864,453
5092,164,682,12,172
5093,418,863,417,11
5094,419,859,416,420
5095,322,689,686,854
5096,667,322,686,854
5097,421,690,855,688
5098,669,667,854,851
5099,420,859,865,855
5100,857,448,858,680
5101,852,860,692,861
5102,451,418,864,865
5103,188,449,450,669
5104,418,181,416,865
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5106,451,864,862,865
5107,669,449,450,862
5108,863,418,416,865
5109,682,292,683,613
5110,418,863,864,865
5111,667,668,854,851
5112,857,679,258,544
5113,668,667,669,851
5114,674,675,679,857
5115,674,326,694,327
5116,678,323,677,851
5117,678,852,323,851
5118,672,853,851,669
5119,323,689,677,851
5120,859,863,865,862
5121,694,697,695,857
5122,671,448,853,453
5123,320,669,851,677
5124,447,527,197,28
5125,852,689,323,851
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5127,852,689,851,861
5128,861,852,862,851
5129,852,853,862,851
5130,852,860,862,858
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5132,153,321,10,688
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5134,690,686,855,688
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5136,244,447,544,28
5137,853,454,453,450
5138,863,92,864,695
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5140,93,544,695,258
5141,860,852,862,861
5142,448,190,680,31
5143,198,448,680,31
5144,697,674,857,694
5145,448,853,453,858
5146,680,675,673,858
5147,696,856,684,698
5148,325,140,684,698
5149,671,454,672,189
5150,856,683,687,681
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5152,853,671,673,858
5153,860,864,858,857
5154,678,852,672,853
5155,865,449,855,862
5156,689,139,668,322
5157,678,672,851,677
5158,544,857,250,680
5159,153,420,670,855
5160,859,865,855,862
5161,292,682,172,613
5162,454,671,190,189
5163,671,454,190,448
5164,292,863,172,682
5165,329,696,328,684
5166,863,685,693,690
5167,859,863,693,690
5168,451,452,865,449
5169,668,139,677,319
5170,856,860,695,683
5171,863,860,864,862
5172,449,188,187,669
5173,696,856,695,683
5174,697,674,679,857
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5176,856,860,683,681
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5178,92,863,292,695
5179,697,679,101,258
5180,198,447,544,857
5181,860,863,864,695
5182,697,674,327,679
5183,696,292,683,695
5184,863,860,683,695
5185,292,863,683,695
5186,189,454,672,450
5187,856,675,858,676
5188,675,856,858,857
5189,189,27,450,672
5190,860,856,858,676
5191,853,671,672,673
5192,676,678,673,858
5193,678,852,673,858
5194,419,859,855,690
5195,852,678,676,858
5196,416,180,420,865
5197,859,416,420,865
5198,679,250,101,258
5199,679,544,250,258
5200,153,321,688,855
5201,449,669,854,862
5202,682,863,681,683
5203,449,854,855,862
5204,188,672,320,669
5205,452,420,670,15
5206,685,863,681,682
5207,859,686,855,690
5208,678,852,851,672
5209,687,676,692,324
5210,863,685,681,693
5211,863,860,681,683
5212,860,693,692,861
5213,667,854,670,187
5214,856,325,676,687
5215,140,329,684,698
5216,527,244,857,695
5217,15,420,670,153
5218,697,674,694,327
5219,166,421,10,688
5220,19,418,197,451
5221,527,447,197,864
5222,857,675,680,858
5223,198,447,857,448
5224,447,451,197,864
5225,418,527,197,864
5226,863,418,417,416
5227,419,863,417,416
5228,292,863,11,172
5229,674,140,325,698
5230,451,418,197,864
5231,544,857,695,258
5232,250,198,680,31
5233,679,857,250,544
5234,319,669,320,677
5235,449,451,862,865
5236,166,690,421,688
5237,693,860,692,681
5238,324,852,323,678
5239,324,323,852,692
5240,858,447,453,448
5241,858,453,447,864
5242,861,686,689,854
5243,861,689,686,691
5244,695,244,544,93
5245,695,544,244,857
5246,690,863,419,859
5247,690,419,863,685
5248,714,138,707,662
5249,715,713,870,709
5250,875,727,609,877
5251,717,705,331,141
5252,713,543,697,101
5253,703,876,700,867
5254,873,867,868,711
5255,867,873,700,711
5256,703,704,700,876
5257,664,611,879,89
5258,725,706,866,719
5259,877,608,879,612
5260,606,702,866,612
5261,317,100,662,710
5262,877,608,871,879
5263,703,666,315,881
5264,694,709,869,870
5265,876,867,881,880
5266,289,290,881,879
5267,872,715,868,867
5268,873,874,868,878
5269,716,698,869,723
5270,874,873,868,711
5271,710,100,662,256
5272,724,708,334,114
5273,611,245,879,89
5274,705,717,332,141
5275,706,704,719,333
5276,704,719,333,720
5277,878,874,871,869
5278,245,91,879,246
5279,874,873,711,712
5280,727,875,721,877
5281,666,880,663,881
5282,696,329,869,698
5283,281,594,116,612
5284,91,665,879,246
5285,726,727,721,877
5286,872,666,880,256
5287,870,872,871,256
5288,703,666,707,314
5289,872,710,662,256
5290,714,872,715,710
5291,725,706,708,866
5292,873,874,722,712
5293,875,878,871,869
5294,332,704,333,720
5295,594,724,866,281
5296,245,90,246,879
5297,877,879,871,880
5298,91,665,256,880
5299,666,707,314,662
5300,876,873,868,878
5301,866,606,612,881
5302,873,876,718,878
5303,694,697,709,870
5304,874,873,718,878
5305,704,873,705,700
5306,874,709,868,870
5307,877,875,721,878
5308,709,874,712,869
5309,724,279,281,594
5310,718,876,721,878
5311,666,665,880,256
5312,695,92,871,292
5313,873,717,711,712
5314,725,726,721,877
5315,873,876,720,718
5316,876,866,721,878
5317,876,878,868,880
5318,707,714,662,867
5319,91,256,871,880
5320,866,876,721,719
5321,328,875,696,728
5322,606,702,115,286
5323,725,866,877,721
5324,696,875,871,869
5325,716,709,712,869
5326,706,719,334,333
5327,706,725,334,719
5328,718,874,723,722
5329,704,873,876,720
5330,876,873,700,867
5331,92,93,695,871
5332,876,704,719,866
5333,698,329,869,723
5334,328,727,875,728
5335,874,868,712,711
5336,879,877,612,881
5337,606,290,612,881
5338,726,610,117,291
5339,666,703,867,880
5340,705,704,332,720
5341,716,140,723,335
5342,608,92,292,871
5343,875,877,871,878
5344,90,664,879,89
5345,727,875,609,292
5346,717,873,722,712
5347,664,665,246,879
5348,91,245,879,871
5349,867,876,868,880
5350,91,92,245,871
5351,608,245,871,879
5352,606,122,701,286
5353,866,877,612,610
5354,696,694,869,870
5355,695,694,696,870
5356,875,728,869,696
5357,872,714,662,710
5358,272,594,114,708
5359,709,874,869,870
5360,695,696,871,870
5361,714,138,330,707
5362,694,696,869,698
5363,290,611,612,879
5364,707,867,700,711
5365,728,874,878,869
5366,727,726,609,877
5367,722,336,712,335
5368,258,93,256,870
5369,713,327,697,709
5370,875,608,292,871
5371,703,707,867,700
5372,725,706,334,708
5373,695,93,870,871
5374,876,703,881,867
5375,877,878,881,880
5376,867,703,881,880
5377,608,611,879,612
5378,702,594,708,866
5379,326,694,709,698
5380,705,332,722,720
5381,874,722,712,723
5382,877,866,881,878
5383,726,727,609,291
5384,881,666,315,663
5385,866,725,719,721
5386,289,606,881,290
5387,141,717,332,722
5388,717,705,332,722
5389,93,258,695,870
5390,714,872,867,715
5391,726,281,117,610
5392,93,870,871,256
5393,281,866,612,610
5394,728,718,721,878
5395,315,122,701,663
5396,608,245,879,611
5397,666,872,662,256
5398,245,90,879,89
5399,716,698,709,869
5400,289,664,879,881
5401,866,702,881,701
5402,702,606,116,612
5403,90,664,246,879
5404,878,877,871,880
5405,872,880,871,256
5406,272,702,115,594
5407,698,694,709,869
5408,327,694,697,709
5409,716,326,709,698
5410,702,606,701,286
5411,664,289,663,881
5412,724,726,281,117
5413,724,279,594,708
5414,279,724,281,117
5415,724,279,708,114
5416,666,703,315,314
5417,125,727,609,292
5418,727,125,609,291
5419,876,718,721,719
5420,125,328,727,292
5421,336,717,141,722
5422,875,728,878,869
5423,713,697,870,709
5424,713,872,870,543
5425,724,725,334,708
5426,664,90,124,89
5427,702,272,708,594
5428,91,871,256,93
5429,543,872,870,256
5430,594,281,866,612
5431,702,594,866,612
5432,706,702,708,866
5433,724,725,708,866
5434,326,716,140,698
5435,609,608,877,610
5436,713,543,870,697
5437,606,702,881,866
5438,258,543,870,256
5439,140,716,723,698
5440,706,704,699,866
5441,331,330,700,711
5442,879,877,881,880
5443,606,290,116,612
5444,704,876,699,866
5445,704,703,699,876
5446,713,543,101,251
5447,327,326,694,709
5448,699,866,881,701
5449,251,256,710,543
5450,702,866,699,701
5451,872,713,710,543
5452,329,140,723,698
5453,703,666,881,880
5454,877,866,612,881
5455,875,728,721,878
5456,875,727,721,728
5457,666,665,663,880
5458,702,706,699,866
5459,327,713,697,101
5460,543,258,697,101
5461,664,879,881,663
5462,866,876,881,878
5463,878,876,881,880
5464,715,709,870,868
5465,873,705,722,720
5466,329,728,869,723
5467,707,714,867,711
5468,874,728,723,869
5469,728,874,723,718
5470,330,714,707,711
5471,872,713,870,715
5472,543,258,870,697
5473,873,704,705,720
5474,872,666,867,880
5475,873,718,720,722
5476,695,694,870,697
5477,704,873,700,876
5478,258,695,870,697
5479,867,715,868,711
5480,727,328,875,292
5481,872,713,715,710
5482,608,92,871,245
5483,881,315,701,663
5484,872,715,870,868
5485,290,879,612,881
5486,866,876,699,881
5487,867,872,880,868
5488,876,703,699,881
5489,606,702,701,881
5490,664,665,879,663
5491,704,876,719,720
5492,696,869,871,870
5493,92,91,93,871
5494,594,279,114,708
5495,608,875,292,877
5496,868,878,871,880
5497,335,716,712,723
5498,594,702,116,612
5499,702,606,115,116
5500,329,328,696,728
5501,609,608,292,877
5502,594,702,115,116
5503,875,328,696,292
5504,880,879,663,881
5505,875,609,292,877
5506,665,879,663,880
5507,91,879,880,871
5508,703,881,315,701
5509,875,608,871,877
5510,703,699,881,701
5511,872,868,870,871
5512,872,543,710,256
5513,868,872,880,871
5514,866,877,721,878
5515,868,715,712,711
5516,874,873,722,718
5517,873,705,717,722
5518,722,335,712,723
5519,717,336,712,722
5520,665,91,879,880
5521,726,609,877,610
5522,609,726,291,610
5523,718,876,720,719
5524,704,706,719,866
5525,728,329,869,696
5526,608,877,610,612
5527,873,876,868,867
5528,705,331,700,711
5529,714,715,867,711
5530,874,728,878,718
5531,330,707,700,711
5532,873,705,700,711
5533,543,713,710,251
5534,251,256,100,710
5535,714,317,662,710
5536,594,724,708,866
5537,666,703,707,867
5538,874,868,871,870
5539,874,878,871,868
5540,869,874,871,870
5541,714,872,662,867
5542,714,317,138,662
5543,707,138,314,662
5544,868,712,709,874
5545,868,709,712,715
5546,711,705,717,873
5547,711,717,705,331
5548,725,877,610,726
5549,610,877,725,866
5550,725,610,281,726
5551,281,610,725,866
5552,725,281,724,726
5553,724,281,725,866
5554,869,712,723,874
5555,869,723,712,716
5556,696,871,292,695
5557,696,292,871,875
5558,663,701,289,122
5559,663,289,701,881
5560,606,289,701,122
5561,606,701,289,881
5562,867,662,666,872
5563,867,666,662,707
5564,289,664,290,879
5565,289,290,664,124
5566,664,611,290,879
5567,89,124,611,123
5568,89,611,124,664
5569,290,611,124,123
5570,290,124,611,664
5571,748,745,344,749
5572,745,748,740,749
5573,661,312,732,741
5574,98,345,751,99
5575,337,744,202,731
5576,316,661,96,741
5577,751,659,255,99
5578,345,747,751,99
5579,734,311,660,730
5580,661,737,96,741
5581,743,343,143,749
5582,734,659,660,311
5583,659,742,732,729
5584,739,745,341,746
5585,312,734,311,659
5586,142,733,746,338
5587,201,469,41,730
5588,471,469,729,470
5589,742,729,738,732
5590,744,731,735,729
5591,257,737,255,751
5592,751,98,99,255
5593,45,744,748,471
5594,46,209,748,470
5595,248,737,96,255
5596,312,135,732,741
5597,209,471,748,470
5598,731,744,202,469
5599,345,46,748,470
5600,345,747,46,470
5601,731,201,469,42
5602,257,98,751,255
5603,97,257,737,248
5604,742,737,751,255
5605,745,740,743,749
5606,732,340,339,738
5607,659,742,751,255
5608,469,207,41,730
5609,661,742,255,737
5610,742,659,751,748
5611,742,750,751,737
5612,337,744,731,735
5613,744,45,748,344
5614,748,659,470,729
5615,311,136,660,730
5616,733,732,339,738
5617,742,661,255,659
5618,97,736,750,343
5619,747,659,751,99
5620,338,733,746,735
5621,745,744,748,344
5622,731,337,42,202
5623,471,744,748,729
5624,471,748,470,729
5625,744,338,746,735
5626,312,734,659,732
5627,257,737,248,255
5628,736,97,750,737
5629,733,744,746,735
5630,750,736,737,742
5631,729,469,730,470
5632,745,743,342,749
5633,742,659,748,729
5634,750,742,751,748
5635,661,312,659,732
5636,742,340,732,738
5637,661,742,737,741
5638,744,745,748,740
5639,750,97,257,737
5640,731,469,730,729
5641,45,471,748,209
5642,747,137,659,99
5643,469,470,207,730
5644,344,745,342,749
5645,729,733,738,732
5646,44,470,660,207
5647,661,737,255,96
5648,318,44,660,207
5649,740,745,743,342
5650,747,137,660,659
5651,661,742,732,659
5652,142,739,341,746
5653,744,337,338,735
5654,733,744,735,729
5655,207,470,660,730
5656,201,731,469,730
5657,341,745,740,342
5658,44,137,318,660
5659,734,659,732,729
5660,742,729,740,738
5661,45,744,471,202
5662,744,471,202,469
5663,744,733,746,745
5664,745,739,738,746
5665,739,745,738,740
5666,745,739,341,740
5667,736,750,343,749
5668,733,745,738,746
5669,742,661,732,741
5670,661,135,741,316
5671,135,340,732,741
5672,312,661,135,741
5673,340,742,732,741
5674,736,343,743,749
5675,740,736,743,749
5676,747,46,470,44
5677,731,42,469,202
5678,659,747,470,660
5679,750,257,751,737
5680,207,136,41,730
5681,470,659,751,747
5682,751,659,470,748
5683,751,345,470,747
5684,470,345,751,748
5685,749,342,143,743
5686,749,143,342,344
5687,660,207,136,318
5688,660,136,207,730
5689,729,740,748,742
5690,729,748,740,744
5691,660,734,470,659
5692,660,470,734,730
5693,729,470,734,659
5694,729,734,470,730
5695,44,660,747,137
5696,747,660,44,470
5697,142,746,339,739
5698,142,339,746,733
5699,738,339,746,739
5700,738,746,339,733
5701,738,729,744,733
5702,744,729,738,740
5703,744,745,738,733
5704,738,745,744,740
5705,744,469,729,471
5706,729,469,744,731
5707,749,748,742,750
5708,742,748,749,740
5709,742,736,749,750
5710,749,736,742,740
5711,754,658,752,753
5712,207,44,658,318
5713,318,754,136,310
5714,120,658,310,753
5715,463,752,464,206
5716,754,752,658,463
5717,754,318,658,310
5718,557,752,605,104
5719,120,285,605,753
5720,207,463,754,658
5721,557,614,206,107
5722,752,463,39,206
5723,126,121,605,658
5724,614,126,605,658
5725,103,614,102,126
5726,754,207,318,136
5727,41,207,754,136
5728,464,605,752,658
5729,464,605,658,614
5730,464,605,614,557
5731,752,557,464,206
5732,40,614,206,464
5733,614,557,206,464
5734,614,40,206,107
5735,605,120,753,658
5736,614,40,43,464
5737,127,126,464,658
5738,206,557,107,267
5739,557,614,103,605
5740,126,127,464,43
5741,103,121,605,126
5742,614,103,605,126
5743,126,614,43,464
5744,658,754,310,753
5745,103,557,605,104
5746,126,614,464,658
5747,463,752,658,464
5748,127,44,464,43
5749,463,44,658,207
5750,463,41,754,39
5751,44,137,658,318
5752,463,41,207,754
5753,207,754,318,658
5754,285,752,605,753
5755,557,614,102,103
5756,752,285,605,104
5757,120,121,658,605
5758,464,605,557,752
5759,614,557,102,107
5760,752,106,206,39
5761,752,39,463,754
5762,127,44,658,464
5763,44,127,658,137
5764,127,121,126,658
5765,463,44,464,658
5766,752,605,753,658
5767,557,752,267,206
5768,557,267,752,104
5769,106,267,752,206
5770,106,752,267,104
5771,539,747,345,99
5772,755,130,119,756
5773,472,490,47,615
5774,747,539,345,756
5775,490,525,68,616
5776,472,490,615,616
5777,472,747,44,46
5778,254,237,616,293
5779,472,615,47,43
5780,756,539,345,94
5781,525,755,524,756
5782,539,98,345,94
5783,747,254,539,616
5784,283,119,252,756
5785,71,755,69,490
5786,755,283,756,119
5787,240,525,69,755
5788,755,525,69,490
5789,747,472,616,756
5790,472,51,756,46
5791,525,747,616,756
5792,490,67,616,68
5793,539,756,252,94
5794,525,240,524,755
5795,525,747,539,616
5796,87,237,88,293
5797,237,254,88,293
5798,616,127,126,43
5799,67,615,616,126
5800,240,283,524,755
5801,472,44,616,43
5802,127,747,44,616
5803,747,472,756,46
5804,51,71,47,472
5805,525,237,68,616
5806,71,472,756,490
5807,67,490,616,615
5808,756,119,252,94
5809,71,472,490,47
5810,67,74,490,615
5811,747,472,44,616
5812,74,71,490,47
5813,283,240,524,85
5814,755,71,756,490
5815,254,747,539,99
5816,755,71,130,756
5817,747,525,539,756
5818,71,51,130,756
5819,254,237,88,242
5820,44,127,616,43
5821,755,283,524,756
5822,525,490,68,69
5823,98,539,345,99
5824,525,755,756,490
5825,86,283,524,85
5826,539,525,242,524
5827,242,86,252,524
5828,539,525,524,756
5829,51,71,472,756
5830,283,756,252,524
5831,756,539,252,524
5832,539,242,252,524
5833,254,747,99,137
5834,86,283,252,524
5835,615,472,616,43
5836,490,74,47,615
5837,747,254,127,137
5838,46,747,345,756
5839,747,127,44,137
5840,615,616,126,43
5841,254,127,616,747
5842,616,127,254,293
5843,756,616,490,472
5844,756,490,616,525
5845,242,539,616,525
5846,616,539,242,254
5847,616,237,242,525
5848,242,237,616,254
5849,757,176,4,159
5850,110,52,757,554
5851,410,757,278,159
5852,410,24,177,589
5853,410,176,5,477
5854,589,110,278,757
5855,589,410,757,278
5856,52,213,757,554
5857,410,176,477,757
5858,589,110,757,554
5859,589,410,5,477
5860,589,64,53,5
5861,20,410,278,159
5862,589,5,53,477
5863,477,176,4,757
5864,64,589,53,554
5865,177,410,278,20
5866,589,64,265,554
5867,589,477,53,554
5868,213,477,757,554
5869,589,265,110,554
5870,24,410,5,589
5871,64,24,5,589
5872,477,213,53,554
5873,410,589,757,477
5874,477,589,757,554
5875,213,52,757,477
5876,176,410,159,757
5877,410,589,177,278
5878,52,477,4,757
5879,882,648,304,759
5880,309,882,284,131
5881,94,599,253,751
5882,597,599,236,515
5883,344,763,749,143
5884,748,882,759,473
5885,599,253,751,750
5886,749,346,343,143
5887,761,882,759,760
5888,95,97,253,750
5889,94,599,751,756
5890,762,763,346,758
5891,77,758,762,346
5892,761,231,514,515
5893,597,95,758,76
5894,599,882,598,235
5895,882,648,309,647
5896,761,231,232,514
5897,598,130,119,118
5898,599,761,514,515
5899,597,515,236,76
5900,761,763,597,750
5901,515,763,761,762
5902,763,597,750,758
5903,599,761,750,751
5904,515,763,762,758
5905,598,78,235,513
5906,598,130,648,756
5907,94,599,756,598
5908,749,346,143,763
5909,515,227,76,758
5910,514,599,236,235
5911,343,758,749,750
5912,50,648,759,304
5913,598,130,118,648
5914,761,599,597,515
5915,882,748,756,473
5916,882,598,235,513
5917,94,345,751,98
5918,882,761,232,514
5919,597,515,76,758
5920,253,94,751,98
5921,748,760,473,759
5922,257,253,751,98
5923,760,205,473,759
5924,882,514,232,513
5925,882,599,514,235
5926,83,882,232,513
5927,748,209,473,760
5928,756,748,46,473
5929,882,647,83,304
5930,748,882,760,759
5931,51,756,46,473
5932,882,748,760,761
5933,345,748,46,756
5934,748,209,760,45
5935,309,78,284,513
5936,130,648,756,51
5937,284,882,118,131
5938,515,763,758,597
5939,95,750,597,758
5940,82,309,513,78
5941,759,205,473,50
5942,209,205,760,45
5943,648,882,473,759
5944,648,882,304,647
5945,749,346,763,758
5946,761,882,232,759
5947,210,759,473,50
5948,97,343,750,758
5949,748,345,751,756
5950,762,227,515,758
5951,763,344,749,760
5952,599,882,514,761
5953,761,748,750,751
5954,599,882,756,598
5955,97,257,253,750
5956,598,882,118,284
5957,599,761,597,750
5958,648,882,598,756
5959,762,231,515,77
5960,227,762,515,77
5961,762,231,761,515
5962,648,882,309,131
5963,515,599,236,514
5964,648,131,130,118
5965,257,253,750,751
5966,345,94,751,756
5967,647,309,513,82
5968,748,209,46,473
5969,756,648,473,51
5970,95,597,750,253
5971,515,763,597,761
5972,514,882,235,513
5973,647,882,513,309
5974,882,309,284,513
5975,648,210,473,51
5976,97,95,758,750
5977,882,648,473,756
5978,882,83,232,304
5979,882,304,232,759
5980,94,598,756,119
5981,598,130,756,119
5982,209,205,473,760
5983,344,748,760,45
5984,758,763,749,750
5985,344,748,749,760
5986,882,648,118,131
5987,83,647,513,82
5988,648,882,118,598
5989,882,647,513,83
5990,749,346,758,343
5991,77,758,227,762
5992,210,648,473,759
5993,50,648,210,759
5994,599,597,253,750
5995,513,284,598,78
5996,513,598,284,882
5997,756,751,882,599
5998,756,882,751,748
5999,761,882,751,599
6000,761,751,882,748
6001,761,760,750,748
6002,761,750,760,763
6003,749,750,760,748
6004,749,760,750,763
6005,299,300,774,639
6006,560,267,766,206
6007,144,772,350,770
6008,770,772,767,348
6009,467,765,465,466
6010,558,111,771,264
6011,641,559,268,639
6012,640,299,773,774
6013,772,774,767,348
6014,467,641,107,40
6015,300,772,642,129
6016,640,467,641,764
6017,559,768,766,561
6018,559,768,561,558
6019,769,774,639,764
6020,559,467,766,641
6021,769,642,558,639
6022,766,39,466,206
6023,144,770,767,348
6024,769,772,774,767
6025,49,640,773,468
6026,49,208,640,468
6027,144,772,770,348
6028,772,769,770,767
6029,347,769,767,770
6030,768,559,764,639
6031,774,769,767,764
6032,640,773,764,774
6033,560,766,106,260
6034,144,347,767,770
6035,641,467,766,764
6036,467,765,468,465
6037,765,39,466,766
6038,774,640,639,764
6039,769,772,639,774
6040,559,768,558,639
6041,640,467,764,468
6042,640,641,639,764
6043,467,559,560,107
6044,559,268,639,558
6045,208,467,48,641
6046,765,467,764,766
6047,467,765,764,468
6048,772,769,639,642
6049,773,640,764,468
6050,765,773,764,468
6051,768,769,767,347
6052,560,467,107,206
6053,267,766,206,106
6054,467,766,466,206
6055,467,559,766,560
6056,467,559,107,641
6057,199,765,465,38
6058,267,560,107,206
6059,772,769,350,770
6060,299,49,640,773
6061,559,768,764,766
6062,641,559,764,766
6063,766,39,206,106
6064,769,768,767,764
6065,768,105,558,264
6066,768,769,639,764
6067,349,773,774,764
6068,267,560,766,106
6069,769,558,771,264
6070,773,49,468,203
6071,640,299,774,639
6072,773,349,203,465
6073,641,467,48,40
6074,105,768,347,264
6075,769,642,771,558
6076,768,769,558,639
6077,300,772,774,639
6078,349,765,773,764
6079,774,349,764,348
6080,559,641,764,639
6081,642,268,771,558
6082,772,300,642,639
6083,769,768,558,264
6084,768,769,347,264
6085,768,259,260,561
6086,111,268,771,642
6087,467,560,766,206
6088,208,640,467,641
6089,768,259,561,558
6090,642,769,771,298
6091,268,111,771,558
6092,641,559,107,112
6093,767,774,764,348
6094,766,560,561,260
6095,765,349,773,465
6096,560,559,766,561
6097,765,39,199,466
6098,769,772,350,129
6099,268,642,639,558
6100,772,769,642,129
6101,111,642,771,298
6102,766,768,260,561
6103,467,765,466,766
6104,641,559,112,268
6105,768,105,259,558
6106,467,40,107,206
6107,641,40,48,107
6108,773,468,465,203
6109,112,641,48,107
6110,765,199,465,466
6111,769,642,129,298
6112,640,208,467,468
6113,773,765,465,468
6114,465,349,38,765
6115,465,38,349,203
6116,36,196,16,404
6117,781,170,3,216
6118,650,132,134,783
6119,776,400,778,777
6120,786,356,784,783
6121,400,776,156,777
6122,13,782,401,402
6123,650,786,403,783
6124,787,354,305,779
6125,775,784,146,36
6126,56,781,3,216
6127,785,352,777,351
6128,785,786,351,777
6129,776,787,352,777
6130,651,785,405,403
6131,786,650,134,783
6132,783,650,402,403
6133,782,37,402,17
6134,786,775,351,777
6135,196,171,16,404
6136,775,155,777,403
6137,155,400,777,403
6138,783,404,403,402
6139,155,775,404,403
6140,400,157,778,780
6141,787,776,352,145
6142,132,355,650,782
6143,649,781,779,294
6144,651,785,306,305
6145,649,56,216,781
6146,405,785,777,403
6147,787,785,352,777
6148,649,56,781,294
6149,158,157,405,780
6150,354,305,779,133
6151,57,72,401,7
6152,72,132,650,782
6153,650,403,401,402
6154,170,57,401,7
6155,156,400,777,155
6156,651,406,781,216
6157,651,650,403,401
6158,651,650,306,403
6159,649,651,781,216
6160,775,196,36,404
6161,406,651,405,401
6162,775,784,404,403
6163,782,650,401,402
6164,786,785,306,403
6165,779,649,294,133
6166,305,649,779,133
6167,57,651,216,401
6168,786,650,306,134
6169,171,37,17,402
6170,196,171,404,402
6171,776,787,778,145
6172,784,196,404,783
6173,170,406,401,216
6174,171,196,37,402
6175,400,776,778,157
6176,786,785,403,777
6177,650,786,306,403
6178,400,405,777,403
6179,155,775,16,404
6180,406,651,781,405
6181,170,57,216,401
6182,406,170,3,781
6183,72,57,401,650
6184,649,651,779,781
6185,782,17,402,13
6186,651,649,779,305
6187,786,356,783,134
6188,405,651,403,401
6189,158,406,3,781
6190,775,196,404,784
6191,783,196,404,402
6192,406,651,401,216
6193,355,132,650,783
6194,775,786,403,777
6195,787,785,779,305
6196,775,36,16,404
6197,196,775,36,784
6198,354,787,778,779
6199,400,776,157,2
6200,72,13,401,7
6201,157,400,405,780
6202,157,776,353,2
6203,400,776,2,156
6204,787,354,778,145
6205,353,776,778,145
6206,785,651,779,305
6207,355,37,783,402
6208,785,651,306,403
6209,170,406,216,781
6210,72,782,401,13
6211,37,355,782,402
6212,785,651,405,779
6213,784,783,404,403
6214,776,157,353,778
6215,37,196,783,402
6216,72,650,401,782
6217,57,651,401,650
6218,786,784,351,775
6219,786,351,784,356
6220,146,351,784,775
6221,146,784,351,356
6222,781,405,158,406
6223,781,158,405,780
6224,777,400,780,405
6225,780,400,777,778
6226,777,787,778,776
6227,403,784,786,775
6228,403,786,784,783
6229,402,355,650,783
6230,402,650,355,782
6231,779,405,781,651
6232,779,781,405,780
6233,777,778,779,780
6234,777,405,779,785
6235,779,405,777,780
6236,779,777,787,778
6237,787,777,779,785
6238,37,355,446,789
6239,784,791,783,356
6240,357,226,788,510
6241,446,784,511,783
6242,78,600,511,284
6243,510,784,511,445
6244,791,646,307,509
6245,645,82,81,509
6246,510,784,790,791
6247,446,195,511,445
6248,784,791,356,790
6249,132,308,646,789
6250,646,644,307,509
6251,195,34,446,511
6252,446,34,600,511
6253,791,234,511,509
6254,789,646,783,511
6255,646,791,307,134
6256,195,510,445,33
6257,33,510,445,788
6258,446,355,783,789
6259,789,446,600,511
6260,355,132,646,789
6261,132,355,646,783
6262,644,307,509,645
6263,645,307,509,81
6264,357,80,510,790
6265,355,37,446,783
6266,234,791,510,790
6267,644,308,282,789
6268,509,78,511,284
6269,644,308,789,646
6270,446,37,789,25
6271,34,600,511,78
6272,646,644,511,789
6273,789,446,25,600
6274,446,784,196,445
6275,195,510,511,445
6276,186,33,445,788
6277,36,784,788,445
6278,81,307,509,234
6279,146,784,788,36
6280,644,789,600,511
6281,446,37,196,783
6282,784,36,196,445
6283,357,510,788,790
6284,80,357,510,226
6285,510,80,234,790
6286,307,791,509,234
6287,234,510,791,511
6288,82,309,509,645
6289,226,510,33,788
6290,791,646,509,511
6291,784,446,511,445
6292,791,134,783,356
6293,446,789,783,511
6294,309,82,509,78
6295,186,36,788,445
6296,646,791,783,511
6297,784,791,511,783
6298,644,789,282,600
6299,309,644,509,645
6300,784,510,788,445
6301,784,446,196,783
6302,132,646,134,783
6303,644,131,309,284
6304,510,784,788,790
6305,644,646,511,509
6306,600,644,511,284
6307,646,791,134,783
6308,355,646,783,789
6309,446,34,25,600
6310,282,644,600,284
6311,282,789,25,600
6312,784,510,511,791
6313,644,509,511,284
6314,284,509,309,644
6315,284,309,509,78
6316,282,284,308,644
6317,282,308,284,118
6318,131,308,284,644
6319,131,284,308,118
6320,790,784,357,356
6321,790,357,784,788
6322,146,357,784,356
6323,146,784,357,788
6324,792,234,79,80
6325,146,356,351,793
6326,798,796,362,638
6327,883,799,800,302
6328,360,793,800,359
6329,796,305,787,354
6330,786,637,306,883
6331,790,234,792,80
6332,307,637,797,303
6333,145,787,794,352
6334,786,356,791,793
6335,796,295,362,638
6336,793,790,792,357
6337,798,796,147,362
6338,301,798,128,638
6339,800,637,797,791
6340,356,786,351,793
6341,796,133,638,305
6342,787,795,794,352
6343,637,307,797,791
6344,785,795,787,352
6345,793,800,797,791
6346,303,637,800,302
6347,792,233,797,79
6348,637,883,800,302
6349,790,234,797,792
6350,799,883,798,636
6351,786,883,306,785
6352,786,793,883,795
6353,790,792,357,80
6354,301,799,798,636
6355,796,305,638,883
6356,798,301,636,638
6357,883,785,795,787
6358,133,796,638,295
6359,786,637,134,306
6360,796,798,147,794
6361,786,637,883,791
6362,796,883,794,787
6363,796,133,305,354
6364,883,637,306,636
6365,883,637,800,791
6366,798,883,638,636
6367,883,305,638,636
6368,301,799,636,302
6369,361,799,795,883
6370,81,234,233,797
6371,303,81,84,797
6372,786,356,134,791
6373,799,361,795,360
6374,234,233,797,792
6375,358,796,147,794
6376,81,233,84,797
6377,307,234,797,791
6378,307,81,303,797
6379,357,356,146,793
6380,796,354,787,794
6381,356,793,790,791
6382,883,796,794,798
6383,793,883,800,791
6384,883,361,794,795
6385,785,351,795,352
6386,883,799,798,794
6387,799,361,798,794
6388,307,637,134,791
6389,793,786,883,791
6390,128,798,362,638
6391,295,128,362,638
6392,305,796,787,883
6393,234,790,797,791
6394,793,790,797,792
6395,303,637,797,800
6396,637,786,134,791
6397,357,356,793,790
6398,361,799,883,794
6399,883,637,636,302
6400,883,795,794,787
6401,799,883,636,302
6402,786,351,793,795
6403,883,799,795,360
6404,234,81,307,797
6405,790,793,797,791
6406,793,883,795,360
6407,800,793,797,359
6408,883,793,800,360
6409,799,883,800,360
6410,305,883,787,785
6411,233,234,79,792
6412,793,792,797,359
6413,305,883,306,636
6414,883,305,306,785
6415,798,361,147,794
6416,796,883,638,798
6417,796,358,354,794
6418,792,797,359,79
6419,786,795,785,351
6420,785,795,786,883
6421,794,354,145,358
6422,794,145,354,787
6423,643,130,755,71
6424,69,755,518,240
6425,782,643,132,789
6426,596,119,755,308
6427,643,782,132,72
6428,119,596,755,283
6429,596,755,518,789
6430,596,85,518,240
6431,782,37,789,355
6432,282,596,789,308
6433,283,596,755,240
6434,85,596,518,26
6435,119,118,130,308
6436,596,25,518,26
6437,755,643,518,789
6438,130,643,755,308
6439,69,643,755,71
6440,596,283,85,240
6441,118,596,282,308
6442,25,18,518,26
6443,119,130,755,308
6444,69,14,518,13
6445,782,643,13,72
6446,355,782,132,789
6447,596,282,789,25
6448,643,308,132,789
6449,37,25,518,789
6450,69,643,71,72
6451,37,18,518,25
6452,118,596,308,119
6453,69,643,13,518
6454,130,118,131,308
6455,643,782,13,518
6456,643,69,13,72
6457,643,782,518,789
6458,37,782,789,518
6459,643,69,755,518
6460,17,18,13,782
6461,755,596,518,240
6462,25,596,518,789
6463,13,518,18,14
6464,13,18,518,782
6465,18,37,782,17
6466,18,782,37,518
6467,789,755,308,596
6468,789,308,755,643
*End Instance
**
*End Assembly
**MATERIALS
**
*Material, name=MATERIAL-GRAIN1
*Depvar
12,
*User Material, constants=6
108.825664965425,114.8204719716,-200.618088948319,1,2,0
*Material, name=MATERIAL-GRAIN2
*Depvar
12,
*User Material, constants=6
-80.505367812744,82.07415835438,17.342189738989,2,2,0
*Material, name=MATERIAL-GRAIN3
*Depvar
12,
*User Material, constants=6
149.666485060018,80.490793125143,-78.76341715896,3,2,0
*Material, name=MATERIAL-GRAIN4
*Depvar
12,
*User Material, constants=6
28.103593869267,108.188049525117,-63.61463272824,4,2,0
*Material, name=MATERIAL-GRAIN5
*Depvar
12,
*User Material, constants=6
98.386281169428,154.399284552252,-108.609685135983,5,2,0
*Material, name=MATERIAL-GRAIN6
*Depvar
12,
*User Material, constants=6
-127.728653159499,66.694940492113,121.343790041438,6,2,0
*Material, name=MATERIAL-GRAIN7
*Depvar
12,
*User Material, constants=6
-42.829875342683,109.586938490021,215.743007672898,7,2,0
*Material, name=MATERIAL-GRAIN8
*Depvar
12,
*User Material, constants=6
53.381759065614,109.734956487707,34.822231697368,8,2,0
*Material, name=MATERIAL-GRAIN9
*Depvar
12,
*User Material, constants=6
114.11338985323,161.098039982213,-235.163523902386,9,2,0
*Material, name=MATERIAL-GRAIN10
*Depvar
12,
*User Material, constants=6
23.538811717486,53.801332165171,-0.916204076247,10,2,0
*Material, name=MATERIAL-GRAIN11
*Depvar
12,
*User Material, constants=6
84.298985473483,47.488808792481,-73.277392141887,11,2,0
*Material, name=MATERIAL-GRAIN12
*Depvar
12,
*User Material, constants=6
-192.017149057955,124.055171663159,93.434905084249,12,2,0
*Material, name=MATERIAL-GRAIN13
*Depvar
12,
*User Material, constants=6
197.066134617088,72.051336125742,-131.370789620155,13,2,0
*Material, name=MATERIAL-GRAIN14
*Depvar
12,
*User Material, constants=6
136.012951354516,60.227157155762,-133.36264289239,14,2,0
*Material, name=MATERIAL-GRAIN15
*Depvar
12,
*User Material, constants=6
-66.368318801933,77.015756771372,226.312338757127,15,2,0
*Material, name=MATERIAL-GRAIN16
*Depvar
12,
*User Material, constants=6
-191.94051896777,50.796702171757,101.517830853935,16,2,0
*Material, name=MATERIAL-GRAIN17
*Depvar
12,
*User Material, constants=6
75.153380401544,93.170797309156,29.227274921214,17,2,0
*Material, name=MATERIAL-GRAIN18
*Depvar
12,
*User Material, constants=6
-87.958184371423,171.41717267159,256.945025063894,18,2,0
*Material, name=MATERIAL-GRAIN19
*Depvar
12,
*User Material, constants=6
122.553013957309,125.523877993174,-178.193534462708,19,2,0
*Material, name=MATERIAL-GRAIN20
*Depvar
12,
*User Material, constants=6
-109.3601233701,154.39365560155,175.311898871809,20,2,0
*Material, name=MATERIAL-GRAIN21
*Depvar
12,
*User Material, constants=6
108.361642846414,174.633000297541,-180.456141300315,21,2,0
*Material, name=MATERIAL-GRAIN22
*Depvar
12,
*User Material, constants=6
85.654904574316,113.848541941196,63.692366833359,22,2,0
*Material, name=MATERIAL-GRAIN23
*Depvar
12,
*User Material, constants=6
51.086981568325,176.27114563009,65.319886933039,23,2,0
*Material, name=MATERIAL-GRAIN24
*Depvar
12,
*User Material, constants=6
-15.112847574638,97.96926686476,-13.71625185495,24,2,0
*Material, name=MATERIAL-GRAIN25
*Depvar
12,
*User Material, constants=6
-159.68425757001,78.866493657304,4.407036690384,25,2,0
*Material, name=MATERIAL-GRAIN26
*Depvar
12,
*User Material, constants=6
7.019593276894,84.946509840618,142.052426540842,26,2,0
*Material, name=MATERIAL-GRAIN27
*Depvar
12,
*User Material, constants=6
160.038060491016,142.675584772224,-45.485315354824,27,2,0
*Material, name=MATERIAL-GRAIN28
*Depvar
12,
*User Material, constants=6
59.994530707472,131.491225651469,51.137505199678,28,2,0
*Material, name=MATERIAL-GRAIN29
*Depvar
12,
*User Material, constants=6
216.40377207038,111.028012174383,-114.851920779452,29,2,0
*Material, name=MATERIAL-GRAIN30
*Depvar
12,
*User Material, constants=6
-108.907848896538,65.498221245978,106.73513195384,30,2,0
**
**
** STEP: Loading
**
*Step, name=Loading, nlgeom=YES, inc=10000
*Static
0.01, 10., 1e-05, 1.
**
** OUTPUT REQUESTS
**
*Restart, write, frequency=0
**
** FIELD OUTPUT: F-Output-1
**
*Output, field, variable=PRESELECT
**
** FIELD OUTPUT: F-Output-2
**
*Element Output, directions=YES
SDV,
**
** HISTORY OUTPUT: H-Output-1
**
*Output, history, variable=PRESELECT
**
*End Step
================================================
FILE: Neper2Abaqus/Step-2b Python/abq_tet.msh
================================================
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1829 2 3 115 115 0 47 43 615
1830 2 3 115 115 0 67 74 615
1831 2 3 116 116 0 102 70 67
1832 2 3 116 116 0 126 102 67
1833 2 3 117 117 0 107 48 40
1834 2 3 117 117 0 112 48 107
1835 2 3 118 118 0 47 48 74
1836 2 3 118 118 0 48 112 74
1837 2 3 118 118 0 112 73 74
1838 2 3 119 119 0 237 616 293
1839 2 3 119 119 0 616 127 293
1840 2 3 119 119 0 126 616 67
1841 2 3 119 119 0 616 68 67
1842 2 3 119 119 0 87 237 293
1843 2 3 119 119 0 126 127 616
1844 2 3 119 119 0 237 68 616
1845 2 3 120 120 0 121 103 126
1846 2 3 120 120 0 103 102 126
1847 2 3 120 120 0 127 121 126
1848 2 3 121 121 0 239 617 87
1849 2 3 121 121 0 617 293 87
1850 2 3 121 121 0 121 617 288
1851 2 3 121 121 0 127 617 121
1852 2 3 121 121 0 618 124 288
1853 2 3 121 121 0 288 617 618
1854 2 3 121 121 0 618 617 239
1855 2 3 121 121 0 618 90 124
1856 2 3 121 121 0 239 90 618
1857 2 3 121 121 0 617 127 293
1858 2 3 122 122 0 124 89 123
1859 2 3 122 122 0 90 89 124
1860 2 3 123 123 0 211 619 620
1861 2 3 123 123 0 211 56 619
1862 2 3 123 123 0 621 296 622
1863 2 3 123 123 0 621 128 296
1864 2 3 123 123 0 621 622 619
1865 2 3 123 123 0 297 623 622
1866 2 3 123 123 0 129 298 297
1867 2 3 123 123 0 622 623 619
1868 2 3 123 123 0 622 296 297
1869 2 3 123 123 0 295 128 621
1870 2 3 123 123 0 623 111 620
1871 2 3 123 123 0 111 623 298
1872 2 3 123 123 0 294 619 56
1873 2 3 123 123 0 619 623 620
1874 2 3 123 123 0 297 298 623
1875 2 3 123 123 0 295 621 133
1876 2 3 123 123 0 133 621 294
1877 2 3 123 123 0 620 55 211
1878 2 3 123 123 0 111 55 620
1879 2 3 123 123 0 621 619 294
1880 2 3 124 124 0 626 204 629
1881 2 3 124 124 0 624 625 631
1882 2 3 124 124 0 83 304 627
1883 2 3 124 124 0 628 624 631
1884 2 3 124 124 0 304 50 626
1885 2 3 124 124 0 299 625 629
1886 2 3 124 124 0 299 300 625
1887 2 3 124 124 0 624 626 629
1888 2 3 124 124 0 50 204 626
1889 2 3 124 124 0 204 49 629
1890 2 3 124 124 0 626 624 633
1891 2 3 124 124 0 49 299 629
1892 2 3 124 124 0 624 630 633
1893 2 3 124 124 0 625 624 629
1894 2 3 124 124 0 624 628 634
1895 2 3 124 124 0 303 84 627
1896 2 3 124 124 0 630 624 634
1897 2 3 124 124 0 84 83 627
1898 2 3 124 124 0 302 303 630
1899 2 3 124 124 0 304 626 633
1900 2 3 124 124 0 628 301 634
1901 2 3 124 124 0 129 297 632
1902 2 3 124 124 0 625 300 632
1903 2 3 124 124 0 296 628 631
1904 2 3 124 124 0 303 627 630
1905 2 3 124 124 0 301 628 635
1906 2 3 124 124 0 627 304 633
1907 2 3 124 124 0 301 302 634
1908 2 3 124 124 0 297 296 631
1909 2 3 124 124 0 300 129 632
1910 2 3 124 124 0 296 128 635
1911 2 3 124 124 0 628 296 635
1912 2 3 124 124 0 630 627 633
1913 2 3 124 124 0 302 630 634
1914 2 3 124 124 0 128 301 635
1915 2 3 124 124 0 631 625 632
1916 2 3 124 124 0 297 631 632
1917 2 3 125 125 0 302 636 637
1918 2 3 125 125 0 306 134 637
1919 2 3 125 125 0 637 636 306
1920 2 3 125 125 0 307 637 134
1921 2 3 125 125 0 638 133 305
1922 2 3 125 125 0 295 133 638
1923 2 3 125 125 0 301 128 638
1924 2 3 125 125 0 638 128 295
1925 2 3 125 125 0 84 303 81
1926 2 3 125 125 0 81 303 307
1927 2 3 125 125 0 638 636 301
1928 2 3 125 125 0 305 636 638
1929 2 3 125 125 0 302 301 636
1930 2 3 125 125 0 305 306 636
1931 2 3 125 125 0 307 303 637
1932 2 3 125 125 0 637 303 302
1933 2 3 126 126 0 639 640 641
1934 2 3 126 126 0 640 208 641
1935 2 3 126 126 0 298 129 642
1936 2 3 126 126 0 642 129 300
1937 2 3 126 126 0 642 111 298
1938 2 3 126 126 0 268 111 642
1939 2 3 126 126 0 112 641 48
1940 2 3 126 126 0 48 641 208
1941 2 3 126 126 0 640 639 299
1942 2 3 126 126 0 640 49 208
1943 2 3 126 126 0 641 112 268
1944 2 3 126 126 0 639 300 299
1945 2 3 126 126 0 299 49 640
1946 2 3 126 126 0 642 639 268
1947 2 3 126 126 0 268 639 641
1948 2 3 126 126 0 300 639 642
1949 2 3 127 127 0 130 643 308
1950 2 3 127 127 0 130 308 131
1951 2 3 127 127 0 130 71 643
1952 2 3 127 127 0 72 132 643
1953 2 3 127 127 0 643 71 72
1954 2 3 127 127 0 643 132 308
1955 2 3 128 128 0 131 644 309
1956 2 3 128 128 0 131 308 644
1957 2 3 128 128 0 82 645 81
1958 2 3 128 128 0 645 307 81
1959 2 3 128 128 0 645 644 307
1960 2 3 128 128 0 645 82 309
1961 2 3 128 128 0 309 644 645
1962 2 3 128 128 0 646 132 134
1963 2 3 128 128 0 134 307 646
1964 2 3 128 128 0 308 132 646
1965 2 3 128 128 0 308 646 644
1966 2 3 128 128 0 644 646 307
1967 2 3 129 129 0 74 47 71
1968 2 3 129 129 0 47 51 71
1969 2 3 129 129 0 51 130 71
1970 2 3 130 130 0 647 648 309
1971 2 3 130 130 0 647 304 648
1972 2 3 130 130 0 648 131 309
1973 2 3 130 130 0 648 130 131
1974 2 3 130 130 0 304 50 648
1975 2 3 130 130 0 648 50 210
1976 2 3 130 130 0 647 83 304
1977 2 3 130 130 0 82 83 647
1978 2 3 130 130 0 648 51 130
1979 2 3 130 130 0 309 82 647
1980 2 3 130 130 0 210 51 648
1981 2 3 131 131 0 305 649 133
1982 2 3 131 131 0 649 294 133
1983 2 3 131 131 0 649 56 294
1984 2 3 131 131 0 216 56 649
1985 2 3 131 131 0 650 651 306
1986 2 3 131 131 0 57 651 650
1987 2 3 131 131 0 650 72 57
1988 2 3 131 131 0 306 134 650
1989 2 3 131 131 0 650 134 132
1990 2 3 131 131 0 650 132 72
1991 2 3 131 131 0 651 305 306
1992 2 3 131 131 0 651 57 216
1993 2 3 131 131 0 649 651 216
1994 2 3 131 131 0 305 651 649
1995 2 3 132 132 0 652 135 313
1996 2 3 132 132 0 312 135 652
1997 2 3 132 132 0 311 653 136
1998 2 3 132 132 0 136 653 310
1999 2 3 132 132 0 652 138 314
2000 2 3 132 132 0 313 138 652
2001 2 3 132 132 0 315 122 654
2002 2 3 132 132 0 654 122 120
2003 2 3 132 132 0 310 653 654
2004 2 3 132 132 0 654 653 315
2005 2 3 132 132 0 654 120 310
2006 2 3 132 132 0 314 315 655
2007 2 3 132 132 0 311 312 655
2008 2 3 132 132 0 652 655 312
2009 2 3 132 132 0 653 655 315
2010 2 3 132 132 0 314 655 652
2011 2 3 132 132 0 311 655 653
2012 2 3 133 133 0 316 313 135
2013 2 3 133 133 0 313 316 656
2014 2 3 133 133 0 138 313 317
2015 2 3 133 133 0 317 313 656
2016 2 3 133 133 0 96 247 656
2017 2 3 133 133 0 316 96 656
2018 2 3 133 133 0 100 317 657
2019 2 3 133 133 0 656 247 657
2020 2 3 133 133 0 247 100 657
2021 2 3 133 133 0 317 656 657
2022 2 3 134 134 0 120 310 658
2023 2 3 134 134 0 136 318 310
2024 2 3 134 134 0 310 318 658
2025 2 3 134 134 0 318 137 658
2026 2 3 134 134 0 127 121 658
2027 2 3 134 134 0 137 127 658
2028 2 3 134 134 0 121 120 658
2029 2 3 135 135 0 99 254 137
2030 2 3 135 135 0 254 293 127
2031 2 3 135 135 0 88 293 254
2032 2 3 135 135 0 87 293 88
2033 2 3 135 135 0 137 254 127
2034 2 3 136 136 0 659 660 137
2035 2 3 136 136 0 659 311 660
2036 2 3 136 136 0 316 135 661
2037 2 3 136 136 0 661 135 312
2038 2 3 136 136 0 661 96 316
2039 2 3 136 136 0 660 136 318
2040 2 3 136 136 0 318 137 660
2041 2 3 136 136 0 311 136 660
2042 2 3 136 136 0 255 96 661
2043 2 3 136 136 0 99 659 137
2044 2 3 136 136 0 659 99 255
2045 2 3 136 136 0 659 312 311
2046 2 3 136 136 0 312 659 661
2047 2 3 136 136 0 661 659 255
2048 2 3 137 137 0 100 662 256
2049 2 3 137 137 0 317 662 100
2050 2 3 137 137 0 663 664 665
2051 2 3 137 137 0 666 315 663
2052 2 3 137 137 0 664 124 90
2053 2 3 137 137 0 662 138 314
2054 2 3 137 137 0 317 138 662
2055 2 3 137 137 0 665 666 663
2056 2 3 137 137 0 90 246 664
2057 2 3 137 137 0 246 665 664
2058 2 3 137 137 0 664 663 289
2059 2 3 137 137 0 256 666 665
2060 2 3 137 137 0 314 666 662
2061 2 3 137 137 0 289 124 664
2062 2 3 137 137 0 666 314 315
2063 2 3 137 137 0 315 122 663
2064 2 3 137 137 0 665 91 256
2065 2 3 137 137 0 663 122 289
2066 2 3 137 137 0 246 91 665
2067 2 3 137 137 0 662 666 256
2068 2 3 138 138 0 667 668 669
2069 2 3 138 138 0 667 322 668
2070 2 3 138 138 0 27 188 320
2071 2 3 138 138 0 319 669 668
2072 2 3 138 138 0 322 139 668
2073 2 3 138 138 0 668 139 319
2074 2 3 138 138 0 188 669 320
2075 2 3 138 138 0 320 669 319
2076 2 3 138 138 0 10 321 153
2077 2 3 138 138 0 188 187 669
2078 2 3 138 138 0 670 15 153
2079 2 3 138 138 0 187 15 670
2080 2 3 138 138 0 670 667 187
2081 2 3 138 138 0 670 153 321
2082 2 3 138 138 0 321 667 670
2083 2 3 138 138 0 667 321 322
2084 2 3 138 138 0 667 669 187
2085 2 3 139 139 0 671 672 673
2086 2 3 139 139 0 672 189 27
2087 2 3 139 139 0 320 672 27
2088 2 3 139 139 0 326 327 674
2089 2 3 139 139 0 675 676 674
2090 2 3 139 139 0 674 676 325
2091 2 3 139 139 0 324 325 676
2092 2 3 139 139 0 672 677 678
2093 2 3 139 139 0 672 678 673
2094 2 3 139 139 0 677 323 678
2095 2 3 139 139 0 677 672 320
2096 2 3 139 139 0 674 679 675
2097 2 3 139 139 0 327 679 674
2098 2 3 139 139 0 673 680 671
2099 2 3 139 139 0 671 680 190
2100 2 3 139 139 0 680 679 250
2101 2 3 139 139 0 678 323 324
2102 2 3 139 139 0 680 673 675
2103 2 3 139 139 0 675 673 676
2104 2 3 139 139 0 675 679 680
2105 2 3 139 139 0 677 139 323
2106 2 3 139 139 0 319 139 677
2107 2 3 139 139 0 326 674 140
2108 2 3 139 139 0 674 325 140
2109 2 3 139 139 0 678 676 673
2110 2 3 139 139 0 324 676 678
2111 2 3 139 139 0 679 101 250
2112 2 3 139 139 0 190 189 671
2113 2 3 139 139 0 672 671 189
2114 2 3 139 139 0 327 101 679
2115 2 3 139 139 0 680 31 190
2116 2 3 139 139 0 250 31 680
2117 2 3 139 139 0 320 319 677
2118 2 3 140 140 0 681 682 683
2119 2 3 140 140 0 125 683 682
2120 2 3 140 140 0 683 125 328
2121 2 3 140 140 0 684 328 329
2122 2 3 140 140 0 682 681 685
2123 2 3 140 140 0 322 321 686
2124 2 3 140 140 0 684 329 140
2125 2 3 140 140 0 325 684 140
2126 2 3 140 140 0 325 687 684
2127 2 3 140 140 0 686 321 688
2128 2 3 140 140 0 689 139 322
2129 2 3 140 140 0 323 139 689
2130 2 3 140 140 0 690 686 688
2131 2 3 140 140 0 686 690 691
2132 2 3 140 140 0 166 690 688
2133 2 3 140 140 0 690 166 165
2134 2 3 140 140 0 682 685 164
2135 2 3 140 140 0 684 683 328
2136 2 3 140 140 0 691 689 686
2137 2 3 140 140 0 687 683 684
2138 2 3 140 140 0 322 686 689
2139 2 3 140 140 0 689 692 323
2140 2 3 140 140 0 691 692 689
2141 2 3 140 140 0 691 693 692
2142 2 3 140 140 0 324 323 692
2143 2 3 140 140 0 690 685 693
2144 2 3 140 140 0 165 685 690
2145 2 3 140 140 0 687 325 324
2146 2 3 140 140 0 692 693 681
2147 2 3 140 140 0 681 687 692
2148 2 3 140 140 0 692 687 324
2149 2 3 140 140 0 683 687 681
2150 2 3 140 140 0 165 164 685
2151 2 3 140 140 0 681 693 685
2152 2 3 140 140 0 688 10 166
2153 2 3 140 140 0 321 10 688
2154 2 3 140 140 0 164 12 682
2155 2 3 140 140 0 682 12 125
2156 2 3 140 140 0 690 693 691
2157 2 3 141 141 0 292 328 696
2158 2 3 141 141 0 695 292 696
2159 2 3 141 141 0 125 328 292
2160 2 3 141 141 0 258 93 695
2161 2 3 141 141 0 258 695 697
2162 2 3 141 141 0 694 695 696
2163 2 3 141 141 0 92 292 695
2164 2 3 141 141 0 695 694 697
2165 2 3 141 141 0 93 92 695
2166 2 3 141 141 0 326 327 694
2167 2 3 141 141 0 327 101 697
2168 2 3 141 141 0 101 258 697
2169 2 3 141 141 0 328 329 696
2170 2 3 141 141 0 329 140 698
2171 2 3 141 141 0 140 326 698
2172 2 3 141 141 0 694 327 697
2173 2 3 141 141 0 694 696 698
2174 2 3 141 141 0 696 329 698
2175 2 3 141 141 0 326 694 698
2176 2 3 142 142 0 330 331 700
2177 2 3 142 142 0 286 701 702
2178 2 3 142 142 0 115 286 702
2179 2 3 142 142 0 122 315 701
2180 2 3 142 142 0 699 703 704
2181 2 3 142 142 0 704 333 706
2182 2 3 142 142 0 703 700 704
2183 2 3 142 142 0 330 700 707
2184 2 3 142 142 0 700 331 705
2185 2 3 142 142 0 703 314 707
2186 2 3 142 142 0 315 314 703
2187 2 3 142 142 0 333 334 706
2188 2 3 142 142 0 286 122 701
2189 2 3 142 142 0 332 333 704
2190 2 3 142 142 0 272 115 702
2191 2 3 142 142 0 141 332 705
2192 2 3 142 142 0 699 704 706
2193 2 3 142 142 0 331 141 705
2194 2 3 142 142 0 332 704 705
2195 2 3 142 142 0 701 699 702
2196 2 3 142 142 0 701 315 703
2197 2 3 142 142 0 138 330 707
2198 2 3 142 142 0 314 138 707
2199 2 3 142 142 0 700 703 707
2200 2 3 142 142 0 699 701 703
2201 2 3 142 142 0 272 702 708
2202 2 3 142 142 0 334 114 708
2203 2 3 142 142 0 704 700 705
2204 2 3 142 142 0 702 706 708
2205 2 3 142 142 0 702 699 706
2206 2 3 142 142 0 114 272 708
2207 2 3 142 142 0 706 334 708
2208 2 3 143 143 0 330 138 714
2209 2 3 143 143 0 138 317 714
2210 2 3 143 143 0 317 100 710
2211 2 3 143 143 0 709 712 715
2212 2 3 143 143 0 712 711 715
2213 2 3 143 143 0 317 710 714
2214 2 3 143 143 0 711 330 714
2215 2 3 143 143 0 331 330 711
2216 2 3 143 143 0 327 326 709
2217 2 3 143 143 0 101 327 713
2218 2 3 143 143 0 327 709 713
2219 2 3 143 143 0 335 336 712
2220 2 3 143 143 0 713 709 715
2221 2 3 143 143 0 712 709 716
2222 2 3 143 143 0 140 335 716
2223 2 3 143 143 0 100 251 710
2224 2 3 143 143 0 141 331 717
2225 2 3 143 143 0 326 140 716
2226 2 3 143 143 0 251 101 713
2227 2 3 143 143 0 336 141 717
2228 2 3 143 143 0 710 713 715
2229 2 3 143 143 0 331 711 717
2230 2 3 143 143 0 710 251 713
2231 2 3 143 143 0 335 712 716
2232 2 3 143 143 0 711 712 717
2233 2 3 143 143 0 709 326 716
2234 2 3 143 143 0 714 710 715
2235 2 3 143 143 0 711 714 715
2236 2 3 143 143 0 712 336 717
2237 2 3 144 144 0 718 719 720
2238 2 3 144 144 0 718 721 719
2239 2 3 144 144 0 718 722 723
2240 2 3 144 144 0 723 722 335
2241 2 3 144 144 0 722 332 141
2242 2 3 144 144 0 724 334 725
2243 2 3 144 144 0 336 722 141
2244 2 3 144 144 0 726 291 117
2245 2 3 144 144 0 334 719 725
2246 2 3 144 144 0 334 333 719
2247 2 3 144 144 0 726 725 721
2248 2 3 144 144 0 721 727 726
2249 2 3 144 144 0 726 727 291
2250 2 3 144 144 0 718 720 722
2251 2 3 144 144 0 722 720 332
2252 2 3 144 144 0 724 114 334
2253 2 3 144 144 0 279 114 724
2254 2 3 144 144 0 728 727 721
2255 2 3 144 144 0 328 727 728
2256 2 3 144 144 0 726 724 725
2257 2 3 144 144 0 333 720 719
2258 2 3 144 144 0 721 725 719
2259 2 3 144 144 0 724 726 117
2260 2 3 144 144 0 723 140 329
2261 2 3 144 144 0 335 140 723
2262 2 3 144 144 0 723 728 718
2263 2 3 144 144 0 329 728 723
2264 2 3 144 144 0 727 125 291
2265 2 3 144 144 0 328 125 727
2266 2 3 144 144 0 333 332 720
2267 2 3 144 144 0 728 329 328
2268 2 3 144 144 0 117 279 724
2269 2 3 144 144 0 722 336 335
2270 2 3 144 144 0 728 721 718
2271 2 3 145 145 0 339 732 733
2272 2 3 145 145 0 135 312 732
2273 2 3 145 145 0 339 340 732
2274 2 3 145 145 0 340 135 732
2275 2 3 145 145 0 41 201 730
2276 2 3 145 145 0 732 729 733
2277 2 3 145 145 0 311 136 730
2278 2 3 145 145 0 730 201 731
2279 2 3 145 145 0 338 142 733
2280 2 3 145 145 0 142 339 733
2281 2 3 145 145 0 42 337 731
2282 2 3 145 145 0 201 42 731
2283 2 3 145 145 0 136 41 730
2284 2 3 145 145 0 312 311 734
2285 2 3 145 145 0 311 730 734
2286 2 3 145 145 0 729 730 731
2287 2 3 145 145 0 732 312 734
2288 2 3 145 145 0 730 729 734
2289 2 3 145 145 0 337 338 735
2290 2 3 145 145 0 729 731 735
2291 2 3 145 145 0 729 732 734
2292 2 3 145 145 0 731 337 735
2293 2 3 145 145 0 338 733 735
2294 2 3 145 145 0 733 729 735
2295 2 3 146 146 0 736 97 737
2296 2 3 146 146 0 737 97 248
2297 2 3 146 146 0 97 736 343
2298 2 3 146 146 0 738 339 739
2299 2 3 146 146 0 740 738 739
2300 2 3 146 146 0 341 740 739
2301 2 3 146 146 0 740 341 342
2302 2 3 146 146 0 316 135 741
2303 2 3 146 146 0 741 340 742
2304 2 3 146 146 0 741 135 340
2305 2 3 146 146 0 742 738 740
2306 2 3 146 146 0 737 96 741
2307 2 3 146 146 0 316 741 96
2308 2 3 146 146 0 248 96 737
2309 2 3 146 146 0 736 740 743
2310 2 3 146 146 0 743 740 342
2311 2 3 146 146 0 742 736 737
2312 2 3 146 146 0 742 340 738
2313 2 3 146 146 0 738 340 339
2314 2 3 146 146 0 737 741 742
2315 2 3 146 146 0 339 142 739
2316 2 3 146 146 0 743 143 343
2317 2 3 146 146 0 343 736 743
2318 2 3 146 146 0 342 143 743
2319 2 3 146 146 0 739 142 341
2320 2 3 146 146 0 740 736 742
2321 2 3 147 147 0 337 202 744
2322 2 3 147 147 0 143 342 344
2323 2 3 147 147 0 202 45 744
2324 2 3 147 147 0 42 202 337
2325 2 3 147 147 0 45 344 744
2326 2 3 147 147 0 338 337 744
2327 2 3 147 147 0 344 342 745
2328 2 3 147 147 0 338 744 746
2329 2 3 147 147 0 744 344 745
2330 2 3 147 147 0 142 338 746
2331 2 3 147 147 0 341 142 746
2332 2 3 147 147 0 342 341 745
2333 2 3 147 147 0 744 745 746
2334 2 3 147 147 0 745 341 746
2335 2 3 148 148 0 345 99 747
2336 2 3 148 148 0 747 99 137
2337 2 3 148 148 0 747 137 44
2338 2 3 148 148 0 98 99 345
2339 2 3 148 148 0 44 46 747
2340 2 3 148 148 0 747 46 345
2341 2 3 149 149 0 748 344 749
2342 2 3 149 149 0 748 45 344
2343 2 3 149 149 0 209 45 748
2344 2 3 149 149 0 748 749 750
2345 2 3 149 149 0 750 751 748
2346 2 3 149 149 0 257 751 750
2347 2 3 149 149 0 751 345 748
2348 2 3 149 149 0 345 46 748
2349 2 3 149 149 0 748 46 209
2350 2 3 149 149 0 749 143 343
2351 2 3 149 149 0 344 143 749
2352 2 3 149 149 0 751 98 345
2353 2 3 149 149 0 257 98 751
2354 2 3 149 149 0 750 749 343
2355 2 3 149 149 0 750 97 257
2356 2 3 149 149 0 343 97 750
2357 2 3 150 150 0 207 136 41
2358 2 3 150 150 0 318 136 207
2359 2 3 150 150 0 137 318 44
2360 2 3 150 150 0 44 318 207
2361 2 3 151 151 0 752 104 106
2362 2 3 151 151 0 753 285 752
2363 2 3 151 151 0 285 104 752
2364 2 3 151 151 0 754 753 752
2365 2 3 151 151 0 310 753 754
2366 2 3 151 151 0 754 136 310
2367 2 3 151 151 0 41 136 754
2368 2 3 151 151 0 752 106 39
2369 2 3 151 151 0 753 120 285
2370 2 3 151 151 0 754 752 39
2371 2 3 151 151 0 39 41 754
2372 2 3 151 151 0 310 120 753
2373 2 3 152 152 0 126 43 127
2374 2 3 152 152 0 43 44 127
2375 2 3 152 152 0 44 137 127
2376 2 3 153 153 0 39 206 106
2377 2 3 153 153 0 206 267 106
2378 2 3 153 153 0 40 107 206
2379 2 3 153 153 0 107 267 206
2380 2 3 154 154 0 71 755 69
2381 2 3 154 154 0 85 240 283
2382 2 3 154 154 0 755 240 69
2383 2 3 154 154 0 755 283 240
2384 2 3 154 154 0 119 283 755
2385 2 3 154 154 0 755 130 119
2386 2 3 154 154 0 71 130 755
2387 2 3 155 155 0 130 756 51
2388 2 3 155 155 0 98 345 94
2389 2 3 155 155 0 130 119 756
2390 2 3 155 155 0 51 756 46
2391 2 3 155 155 0 46 756 345
2392 2 3 155 155 0 119 94 756
2393 2 3 155 155 0 756 94 345
2394 2 3 156 156 0 757 110 278
2395 2 3 156 156 0 52 110 757
2396 2 3 156 156 0 20 159 278
2397 2 3 156 156 0 159 4 757
2398 2 3 156 156 0 757 4 52
2399 2 3 156 156 0 757 278 159
2400 2 3 157 157 0 346 343 143
2401 2 3 157 157 0 343 758 97
2402 2 3 157 157 0 758 95 97
2403 2 3 157 157 0 227 758 77
2404 2 3 157 157 0 77 758 346
2405 2 3 157 157 0 76 758 227
2406 2 3 157 157 0 758 343 346
2407 2 3 157 157 0 95 758 76
2408 2 3 158 158 0 759 760 205
2409 2 3 158 158 0 761 231 762
2410 2 3 158 158 0 760 45 205
2411 2 3 158 158 0 763 344 760
2412 2 3 158 158 0 759 50 304
2413 2 3 158 158 0 205 50 759
2414 2 3 158 158 0 761 762 763
2415 2 3 158 158 0 763 760 761
2416 2 3 158 158 0 83 232 304
2417 2 3 158 158 0 346 763 762
2418 2 3 158 158 0 344 45 760
2419 2 3 158 158 0 759 304 232
2420 2 3 158 158 0 346 143 763
2421 2 3 158 158 0 763 143 344
2422 2 3 158 158 0 761 759 232
2423 2 3 158 158 0 232 231 761
2424 2 3 158 158 0 762 77 346
2425 2 3 158 158 0 759 761 760
2426 2 3 158 158 0 231 77 762
2427 2 3 159 159 0 130 131 118
2428 2 3 159 159 0 119 130 118
2429 2 3 160 160 0 284 309 78
2430 2 3 160 160 0 118 131 284
2431 2 3 160 160 0 131 309 284
2432 2 3 160 160 0 309 82 78
2433 2 3 161 161 0 764 349 765
2434 2 3 161 161 0 764 348 349
2435 2 3 161 161 0 106 766 39
2436 2 3 161 161 0 764 765 766
2437 2 3 161 161 0 765 39 766
2438 2 3 161 161 0 39 765 199
2439 2 3 161 161 0 106 260 766
2440 2 3 161 161 0 767 144 348
2441 2 3 161 161 0 764 766 768
2442 2 3 161 161 0 767 348 764
2443 2 3 161 161 0 260 768 766
2444 2 3 161 161 0 260 259 768
2445 2 3 161 161 0 259 105 768
2446 2 3 161 161 0 768 105 347
2447 2 3 161 161 0 768 767 764
2448 2 3 161 161 0 767 768 347
2449 2 3 161 161 0 765 38 199
2450 2 3 161 161 0 347 144 767
2451 2 3 161 161 0 349 38 765
2452 2 3 162 162 0 129 350 769
2453 2 3 162 162 0 298 129 769
2454 2 3 162 162 0 347 264 769
2455 2 3 162 162 0 105 264 347
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2457 2 3 162 162 0 264 111 771
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================================================
FILE: OXFORD-UMAT v3.3/OXFORD-UMAT.f
================================================
! OXFORD-UMAT - Crystal Plasticity Solver
! December 18th, 2025 - Release v3.3
! November 1st, 2022 - 1st working version
!
! Crystal Plasticity UMAT
! University of Oxford
! Eralp Demir
!
! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA
!
! Originally based on the UEL by Fionn Dunne 2007
! Deformation twinning is not included
!
! Major changes:
! - Initialization routines for computational efficiency
! - Reverse slip formulation by C. Hardie
! - Option for implicit state update
! - Multiple materials with different phases can co-exist in a mesh
! - Modular code for flexible constitutive model development
! - GND calculations:
! o Restricted solution to the active slip systems
! o Option for element center homogenization
! o Different 2D/3D element types for GND calculation
! - 2D plane stress/strain problems
! - Lp correction
! - Jaumann rate correction
!
include "userinputs.f"
include "globalvariables.f"
include "irradiation.f"
include "errors.f"
include "utilities.f"
include "meshprop.f"
include "usermaterials.f"
include "miscellaneous.f"
include "useroutputs.f"
include "crss.f"
include "initializations.f"
include "slip.f"
include "slipreverse.f"
include "creep.f"
include "innerloop.f"
include "hardening.f"
include "backstress.f"
include "cpsolver.f"
include "straingradients.f"
include "UEXTERNALDB.f"
!
!
!
!
!
!
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
1 RPL,DDSDDT,DRPLDE,DRPLDT,
2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC)
!
use userinputs, only: cutback, pastefront
use globalvariables, only: numel, numpt, numtens,
+ largenum, ip_init, init_once, ip_count
use initializations, only: initialize_atfirstinc
use cpsolver, only: solve
implicit none
!
!
INTEGER, INTENT(IN) ::
+ NDI, ! Number of direct stress components at this point
+ NSHR, ! Number of engineering shear stress components
+ NTENS, ! Size of the stress / strain components (NDI + NSHR)
+ NSTATV, ! Number of solution-dependent state variables
+ NPROPS, ! User-defined number of material constants
+ NOEL, ! Element number
+ NPT, ! Integration point number
+ LAYER, ! Layer number (shell elements etc.)
+ KSPT, ! Section point within the current layer
+ KINC ! Increment number (time increment)
INTEGER, DIMENSION(4), INTENT(IN) ::
+ JSTEP ! Step number (load step)
CHARACTER(LEN=80), INTENT(IN) ::
+ CMNAME ! Usee-specified material name, left justified
REAL(8), INTENT(IN) ::
+ DTIME, ! Time increment
+ TEMP, ! Temperature at the start of the increment
+ DTEMP, ! Increment of temperature
+ CELENT ! Temperature
REAL(8), DIMENSION(1), INTENT(IN) ::
+ PREDEF,
+ DPRED
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME ! Step time/total time at begin, of the current inc.
REAL(8), DIMENSION(3), INTENT(IN) ::
+ COORDS
REAL(8), DIMENSION(NTENS), INTENT(IN) ::
+ STRAN, ! Total strains at beginning of the increment
+ DSTRAN ! Strain increments
REAL(8), DIMENSION(NPROPS), INTENT(IN) ::
+ PROPS
REAL(8), DIMENSION(3,3), INTENT(IN) ::
+ DROT, ! Rotation increment matrix
+ DFGRD0, ! Deformation gradient at the former time increment
+ DFGRD1 ! Deformation gradient at the current time increment
REAL(8), INTENT(INOUT) ::
+ PNEWDT, ! Ratio of suggested new time increment to current time increment
+ SSE, ! Specific elastic strain engergy
+ SPD, ! Specific plastic dissipation
+ SCD, ! Specific creep dissipation
+ RPL, ! Volumetric heat generation
+ DRPLDT ! Variation of RPL with respect to the temperature
REAL(8), DIMENSION(NTENS), INTENT(INOUT) ::
+ STRESS ! Cauchy stress vector at the current time increment
REAL(8), DIMENSION(NSTATV), INTENT(INOUT) ::
+ STATEV ! Solution-dependent state variables
REAL(8), DIMENSION(NTENS), INTENT(OUT) ::
+ DDSDDT, ! Variation of the stress increments with respect to the temperature
+ DRPLDE ! Variation of RPL with respect to the strain increments
REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) ::
+ DDSDDE ! Material tangent at the current time increment
!
! local array for 3D crystal plasticity solver
real(8) :: sigma(6), jacobi(6,6)
! material-id needed for array allocations
integer :: matid, debug, debugwait
! counter
integer :: i
!
! turn VS debugger on/off
debug=0
do while (debug==1)
debugwait = 1
end do
!
! to avoid warning messages set the following to zero
DDSDDT = 0.
DRPLDE = 0.
!
! outputs
sigma = 0.
jacobi = 0.
!
!
!
! read the number of elements and number of integration points per element
if (ip_count(NOEL,NPT)<1) then
!
! Increment the counter
ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1
!
! store the number of elements
if (NOEL>numel) numel=NOEL
! store the number of integration points
if (NPT>numpt) numpt=NPT
!
! dimension of the problem (will be re-assigned in feprop)
numtens = ntens
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
PNEWDT=cutback
!
!
!
end if
!
!
! if arrays allocated then
! do the crystal plasticity calculations
if (init_once==1) then
!
!
! material/phase identifier
matid=int(PROPS(5))
!
! in some multi-body simulations UMAT entry for RGB has happened!
! in that case, RGB having no material-ID assigned gave array access issues
! this case deals with that situation
if (matid > 0) then
!
! material property initialization
if (ip_init(NOEL,NPT)==0) then
!
call initialize_atfirstinc(NOEL,NPT,COORDS,
+ NPROPS,PROPS,TEMP,NSTATV,NTENS,STRESS)
!
!
! write(*,*) 'element: ', NOEL
! write(*,*) 'ip: ', NPT
! write(*,*) 'initialized!'
end if
!
!
!
!
! call the main crystal plasticity solver
call solve(NOEL,NPT,DFGRD1,DFGRD0,
+ TEMP,DTEMP,JSTEP(1),TIME(1),DTIME,matid,
+ PNEWDT,NSTATV,STATEV,sigma,jacobi)
!
!
!
! increase the time step if desired or,
! let ABAQUS decide!
if (pastefront > 1.) then
! if there is no cutback introduced
if (PNEWDT /= cutback) then
PNEWDT = pastefront
end if
end if
!
!
!
! 3D case
if (NTENS==6) then
!
STRESS = sigma
DDSDDE = jacobi
!
! plane strain case
elseif (NTENS==4) then
!
STRESS=0.
STRESS=0.
STRESS(1) = sigma(1)
STRESS(2) = sigma(2)
STRESS(3) = sigma(3)
STRESS(4) = sigma(4)
!
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1)
DDSDDE(1,2) = jacobi(1,2)
DDSDDE(1,3) = jacobi(1,3)
DDSDDE(2,1) = jacobi(2,1)
DDSDDE(2,2) = jacobi(2,2)
DDSDDE(2,3) = jacobi(2,3)
DDSDDE(3,1) = jacobi(3,1)
DDSDDE(3,2) = jacobi(3,2)
DDSDDE(3,3) = jacobi(3,3)
DDSDDE(4,4) = jacobi(4,4)
!
! plane stress case
elseif (NTENS==3) then
!
! Corrected stress for plane stress
STRESS=0.
STRESS(1) = sigma(1)
+ -jacobi(1,3)*sigma(3)/jacobi(3,3)
+ -jacobi(1,5)*sigma(5)/jacobi(5,5)
+ -jacobi(1,6)*sigma(6)/jacobi(6,6)
!
STRESS(2) = sigma(2)
+ -jacobi(2,3)*sigma(3)/jacobi(3,3)
+ -jacobi(2,5)*sigma(5)/jacobi(5,5)
+ -jacobi(2,6)*sigma(6)/jacobi(6,6)
!
STRESS(3) = sigma(4)
+ -jacobi(4,3)*sigma(3)/jacobi(3,3)
+ -jacobi(4,5)*sigma(5)/jacobi(5,5)
+ -jacobi(4,6)*sigma(6)/jacobi(6,6)
!
! Corrected jacobian for plane stress
DDSDDE=0.
DDSDDE(1,1) = jacobi(1,1) -
+ jacobi(1,3)*jacobi(3,1)/jacobi(3,3)
DDSDDE(1,2) = jacobi(1,2) -
+ jacobi(1,3)*jacobi(3,2)/jacobi(3,3)
DDSDDE(1,3) = jacobi(1,4) -
+ jacobi(1,3) * jacobi(3,4) / jacobi(3,3)
DDSDDE(2,1) = jacobi(2,1) -
+ jacobi(2,3)*jacobi(3,1)/jacobi(3,3)
DDSDDE(2,2) = jacobi(2,2) -
+ jacobi(2,3)*jacobi(3,2)/jacobi(3,3)
DDSDDE(2,3) = jacobi(2,4) -
+ jacobi(2,3) * jacobi(3,4) / jacobi(3,3)
DDSDDE(3,1) = jacobi(4,1) -
+ jacobi(4,3) * jacobi(3,1) / jacobi(3,3)
DDSDDE(3,2) = jacobi(4,2) -
+ jacobi(4,3) * jacobi(3,2) / jacobi(3,3)
DDSDDE(3,3) = jacobi(4,4) -
+ jacobi(4,3) * jacobi(3,4) / jacobi(3,3)
!
end if
!
! if rigid body (or matid not defined in PROPS)
else
!
DDSDDE=0.
do i=1,NTENS
DDSDDE(i,i)=largenum
end do
STRESS=0.
!
! end of crystal plasticity solution
end if
!
! end of one-time initialization performed case
end if
!
!
!
RETURN
END SUBROUTINE UMAT
================================================
FILE: OXFORD-UMAT v3.3/UEXTERNALDB.f
================================================
!
! November, 01st, 2022 - 1st working version
! July 08th, 2025
!
! Crystal Plasticity UMAT
! University of Oxford
! Eralp Demir
!
SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC)
! Subroutine for initialization
use initializations, only : initialize_variables,
+ initialize_once
use userinputs, only : gndmodel, backstressmodel, neighbourhood
use globalvariables, only: numel, numpt,
+ init_once, statev_gmatinv, statev_gmatinv_t,
+ statev_gammasum_t, statev_gammasum,
+ statev_gammadot_t, statev_gammadot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_forest_t, statev_forest,
+ statev_substructure_t, statev_substructure, statev_evmp_t,
+ statev_evmp, statev_totgammasum_t, statev_totgammasum,
+ statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop,
+ statev_Lambda_t, statev_Lambda, statev_sigma_t2,
+ statev_tausolute_t, statev_tausolute, time_old, dt_t,
+ statev_backstress, statev_backstress_t,
+ statev_plasdiss, statev_plasdiss_t,
+ statev_theta_t, statev_theta,
+ ip_count, calculategradient, ip_init, grad_init
!
use straingradients, only: gndmodel1, gndmodel2,
+ gndmodel3, gndmodel4
use backstress, only: backstressmodel2
use meshprop, only: initialize_gradientoperators
use useroutputs, only: write_statev_legend
use miscellaneous, only: findneighbours
!
implicit none
!
!
!
INTEGER, INTENT(IN) ::
+ LOP,
+ LRESTART,
+ KSTEP,
+ KINC
REAL(8), DIMENSION(1), INTENT(IN) ::
+ DTIME
REAL(8), DIMENSION(2), INTENT(IN) ::
+ TIME
!
!
integer :: i
!
!
!
! at the start of the analysis (only ONCE!)
! if there are initializations/calculations that are needed once,
! and that are independepent of element properties, you may use here.
if (LOP==0) then
!
! 0. Initialize variables (instead of using data statements)
call initialize_variables
!
!
end if
!
! Initialization of gradient operators
! Check if the element has more than one integration point
! And the gradient initialization was done before or not
if ((calculategradient==1).and.(grad_init==0)) then
!
! Check if IP coordinates were collected
if ((sum(ip_init)==numel*numpt).and.
+ (numel>0).and.(numpt>0)) then
!
!
! Calculate the gradient mapping for each element once.
call initialize_gradientoperators
!
grad_init=1
write(*,*) '8. Gradient operators initialized!'
!
! Calculate neighbors
if (neighbourhood==1) then
call findneighbours
write(*,*) '9. "Computed the neighbours!'
end if
!
!
endif
!
end if
!
!
!
!
!
if (LOP==1) then
!
!
! in case of force BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '7. "STATEV_legend.txt" file is ready!'
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
end if
!
!
!
!
!
end if
!
!
end if
!
!
!
! at the end of each increment
if (LOP==2) then
!
!
! in case of displacement BC
if ((KINC==1).and.(KSTEP==1)) then
!
!
!
! check if the one-time initialization is done or not
if ((init_once==0).and.(numel>0).and.(numpt>0)) then
!
!
!
! check the number of elements
i = sum(ip_count(1,:))
if (i>numpt) numpt = i
!
! check the number of elements
i = sum(ip_count(:,1))
if (i>numel) numel = i
!
!
! write element number
write(*,*) 'total elements in the mesh: ', numel
!
! write integration point number
write(*,*) 'integration points per element: ', numpt
!
!
write(*,*) '--------------------------------'
!
! call the initializations
call initialize_once
!
! display upon completion
write(*,*) 'one-time initialization is complete!'
!
!
write(*,*) '--------------------------------'
!
!
! write the legend to a text file
call write_statev_legend
!
! message for initializatoin
write(*,*) '7. "STATEV_legend.txt" file is ready!'
!
!
!
! set the one-time initilaziation flag (at the very end)
init_once=1
!
!
end if
!
!
!
!
!
!
end if
!
!
!
write(*,*) '--------------------------------'
!
write(*,*) 'At the end of increment: ', KINC
!
!
!
!
!
! GND calculations
! do this only if the initiliazation complete and
! element gradients are calculatable (calculategradient==1)
if ((init_once==1).and.(grad_init==1).and.
+ (calculategradient==1).and.(KINC>1)) then
!
! update and calculate GNDs (nonlocal calculations)
! this is done at the end of calculations.
! GNDs that belong to the PREVIOUS time step are used.
! initially GNDs are assumed to have "0" values.
!
! calculate GNDs (if initialization complete)
if (gndmodel>0) then
!
! curl followed by L2 minimization - SVD -
! constrained to active slip systems
if (gndmodel==1) then
!
call gndmodel1
!
! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD
! constrained to active slip systems (same as model-1)
elseif (gndmodel==2) then
!
call gndmodel2
!
! rate form followed by direct projections
elseif (gndmodel==3) then
!
call gndmodel3(DTIME(1))
!
! slip gradients
elseif (gndmodel==4) then
!
call gndmodel4(DTIME(1))
!
!
endif
!
!
write(*,*) 'GNDs are computed!'
!
!
if (backstressmodel==2) then
!
call backstressmodel2
!
write(*,*) 'Backstresses are computed!'
!
end if
!
end if
!
end if
!
! update the time
time_old = time(2)
! store former converged time increment
dt_t = DTIME(1)
!
!
! update state variables
! assign the current results to the former values
statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:)
statev_evmp_t(:,:) = statev_evmp(:,:)
statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:)
statev_totgammasum_t(:,:) = statev_totgammasum(:,:)
statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:)
statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:)
statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:)
statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:)
statev_sigma_t(:,:,:) = statev_sigma(:,:,:)
statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:)
statev_tauc_t(:,:,:) = statev_tauc(:,:,:)
statev_maxx_t(:,:) = statev_maxx(:,:)
statev_Eec_t(:,:,:) = statev_Eec(:,:,:)
statev_gnd_t(:,:,:) = statev_gnd(:,:,:)
statev_ssd_t(:,:,:) = statev_ssd(:,:,:)
statev_ssdtot_t(:,:) = statev_ssdtot(:,:)
statev_forest_t(:,:,:) = statev_forest(:,:,:)
statev_loop_t(:,:,:) = statev_loop(:,:,:)
statev_substructure_t(:,:) = statev_substructure(:,:)
statev_tausolute_t(:,:) = statev_tausolute(:,:)
statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:)
statev_backstress_t(:,:,:) = statev_backstress(:,:,:)
statev_plasdiss_t(:,:) = statev_plasdiss(:,:)
statev_theta_t(:,:) = statev_theta(:,:)
!
write(*,*) 'States are updated!'
!
write(*,*) '--------------------------------'
!
!
endif
!
!
!
RETURN
END SUBROUTINE UEXTERNALDB
================================================
FILE: OXFORD-UMAT v3.3/backstress.f
================================================
! May 03rd, 2022
! Eralp Demir
!
module backstress
implicit none
contains
!
! Armstrong-Frederic backstress model
! Two input parameters are required
subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX)
use userinputs, only : maxnparam
implicit none
! Inputs
! Backstress parameters
real(8), intent(in) :: backstressparam(maxnparam)
! Number of slip systems
integer, intent(in) :: nslip
! Current value of slip rate
real(8), intent(in) :: gdot(nslip)
! Current value of backstress
real(8), intent(in) :: X(nslip)
! time increment
real(8), intent(in) :: dt
!
! Output
! Backtress increment
real(8), intent(out) :: dX(nslip)
!
! Variables used in this subroutine
! Backstress evolution parameter
real(8) :: h
! Backstress relief parameter
real(8) :: hD
integer :: is
!
! Backstress evolution
h = backstressparam(1)
!
! Backstress annihiliation
hD = backstressparam(2)
!
dX = 0.
do is=1,nslip
!
dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt
!
end do
!
!
!
return
end subroutine backstressmodel1
!
!
!
!
!
! NON-LOCAL backstress calculation based on GND density
subroutine backstressmodel2
use userinputs, only: maxnslip
use globalvariables, only: numel, numpt,
+ materialid, numslip_all, numscrew_all, screw_all,
+ burgerv_all, gf_all, G12_all, v12_all,
+ backstressparam_all, statev_backstress,
+ statev_gnd, statev_gammasum
use utilities, only: matvec6
implicit none
integer :: matid, nslip, nscrew
real(8) :: burgerv(maxnslip)
integer :: screw(maxnslip)
real(8) :: X(maxnslip)
real(8) :: gf, G12, v12, xi
real(8) :: rhoGNDe, rhoGNDs, gsum
real(8) :: rhoGND(maxnslip)
integer :: ie, ip, is, i, k, l
!
!
!
!
!
!
do ie=1, numel
!
! Reset arrays
burgerv=0.;screw=0
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw = screw_all(matid,1:nscrew)
!
! Geometric factor
gf = gf_all(matid)
!
! Shear Modulus
G12 = G12_all(matid)
!
! Poisson's ratio
v12 = v12_all(matid)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! Backstress parameter
xi = backstressparam_all(matid,1)
!
!
do ip=1,numpt
!
!
!
!
!
!
! Reset backstress
X = 0.
!
!
rhoGND=0.
! Edges
do is = 1, nslip
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Edge dislocation density
rhoGNDe = statev_gnd(ie,ip,is)
!
!!
! rhoGND(is) = abs(statev_gnd(ie,ip,is))
!
!
! Backstress due to edges
X(is) = xi*G12/(1.-v12)*burgerv(is)*
+ sqrt(abs(rhoGNDe))*sign(1.0,gsum)
!
!
!
end do
!
!
!
! Screws
do i = 1, nscrew
!
is = screw(i)
!
! Sum of shear rates
gsum = statev_gammasum(ie,ip,is)
! Screw dislocation density
rhoGNDs = statev_gnd(ie,ip,nslip+i)
!
! rhoGND(is) = rhoGND(is) +
! + abs(statev_gnd(ie,ip,nslip+i))
!
! Backstress due to screws
X(is) = X(is) + xi*G12*burgerv(is)*
+ sqrt(abs(rhoGNDs))*sign(1.0,gsum)
!
!
!
end do
!
!
!! Backstress
! do is = 1, nslip
!!
!! Sum of shear rates
! gsum = statev_gammasum(ie,ip,is)
!!
! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is))
! + *sign(1.0,gsum)
!!
! end do
!
!
! Assign to the global vector
statev_backstress(ie,ip,1:nslip) = X(1:nslip)
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
end do
!
!
!
!
!
!
!
return
!
end subroutine backstressmodel2
!
!
end module backstress
================================================
FILE: OXFORD-UMAT v3.3/cpsolver.f
================================================
! Oct. 1st, 2022
! Eralp Demir
! This module contains the solver schemes for crystal plasticity
!
module cpsolver
implicit none
contains
!
! This subroutine deals with
! global variables and their assignments
! before entering the main solver:
! 1. assigns the global variables to locals
! before calling the CP-solver
! 2. calls fge-predictor scheme before as
! spare solution
! 3. calls implicit or explicit CP-solvers
! 4. assigns the results to the glboal state variables
subroutine solve(noel, npt, dfgrd1, dfgrd0,
+ temp, dtemp, jstep, tstep, dt,
+ matid, pnewdt, nstatv, statev,
+ sigma, jacobi)
!
use globalvariables, only : dt_t,
+ statev_gmatinv, statev_gmatinv_t, statev_gmatinv_0,
+ statev_gammasum_t, statev_gammasum, statev_ssdtot_t,
+ statev_gammadot_t, statev_gammadot, statev_ssdtot,
+ statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma,
+ statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth,
+ statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx,
+ statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd,
+ statev_ssd_t, statev_ssd, statev_loop_t, statev_loop,
+ statev_forest_t, statev_forest, statev_evmp_t, statev_evmp,
+ statev_substructure_t, statev_substructure, statev_sigma_t2,
+ statev_totgammasum_t, statev_totgammasum,
+ statev_tausolute_t, statev_tausolute, forestproj_all,
+ numslip_all, numscrew_all, phaseid_all,
+ dirc_0_all, norc_0_all, caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, alphamat_all, burgerv_all,
+ sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all,
+ slipmodel_all, slipparam_all, creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all, irradiationmodel_all,
+ irradiationparam_all, backstressparam_all, slip2screw_all,
+ statev_backstress_t, statev_backstress, statev_plasdiss_t,
+ statev_plasdiss, statev_theta_t, statev_theta,
+ statev_tauceff, statev_Fr, I3, I6, smallnum
!
use userinputs, only: constanttemperature, temperature,
+ predictor, maxnslip, maxnparam, maxxcr, cutback,
+ phi, maxnloop, stateupdate, readresidualstrainfile, tres
!
!
use usermaterials, only: materialparam
!
use crss, only: slipresistance, totalandforest
!
use useroutputs, only: assignoutputs, nstatv_outputs
!
use errors, only: error
!
use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6,
+ rotord4sig, gmatvec6
!
implicit none
!
! element no
integer, intent(in) :: noel
!
! ip no
integer, intent(in) :: npt
!
!
! current deformation gradient
real(8), intent(in) :: dfgrd1(3,3)
!
! former deformation gradient
real(8), intent(in) :: dfgrd0(3,3)
!
! ABAQUS temperature
real(8), intent(in) :: temp
!
! ABAQUS temperature increment
real(8), intent(in) :: dtemp
!
! step number
integer, intent(in) :: jstep
!
! step time
real(8), intent(in) :: tstep
!
! time step
real(8), intent(in) :: dt
!
! material id
integer, intent(in) :: matid
!
! time factor
real(8), intent(inout) :: pnewdt
!
! number of state variables - for postprocessing
integer, intent(in) :: nstatv
!
! state variables - postprocessing
real(8), intent(inout) :: statev(nstatv)
!
! Cauchy stress
real(8), intent(out) :: sigma(6)
!
! Material tangent
real(8), intent(out) :: jacobi(6,6)
!
! Local variables used within this subroutine
!
!
! phase-id
integer :: phaid
!
! number of slip systems
integer :: nslip
!
!
! Convergence flag (initially set to zero!)
!
! Flag for crystal plasticity explicit/implicit solver
integer :: cpconv
!
! Flag for Euler solver convergence
integer :: cpconv0
!
!
! Local state variables with known dimensions
! crystal to sample transformation initally
real(8) :: gmatinv_0(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv_t(3,3)
! crystal to sample transformation at the former time step
real(8) :: gmatinv(3,3)
! rss/crsss ratio at the former time step
real(8) :: maxx_t
! rss/crsss ratio at the current time step
real(8) :: maxx
! elastic strains in the crystal reference at the former time step
real(8) :: Eec_t(6)
! elastic strains in the crystal reference at the current time step
real(8) :: Eec(6)
! plastic deformation gradient at the former time step
real(8) :: Fp_t(3,3)
! plastic deformation gradient at the current time step
real(8) :: Fp(3,3)
! thermal deformation gradient at the former time step
real(8) :: Fth_t(3,3)
! thermal deformation gradient at the current time step
real(8) :: Fth(3,3)
! inverse of the thermal deformation gradient at the former time step
real(8) :: invFth_t(3,3)
! inverse of the thermal deformation gradient at the current time step
real(8) :: invFth(3,3)
! determinant of the thermal deformation gradient
real(8) :: detFth, detFth_t
! total residual deformation gradient at the end of time step
real(8) :: Fr0(3,3)
! residual deformation gradient at the former time step
real(8) :: Fr_t(3,3)
! residual deformation gradient at the current time step
real(8) :: Fr(3,3)
! inverse of the residual deformation gradient at the former time step
real(8) :: invFr_t(3,3)
! inverse of the residual deformation gradient at the current time step
real(8) :: invFr(3,3)
! determinant of the residual deformation gradient
real(8) :: detFr, detFr_t
! mechanical deformation gradient at the former time step
real(8) :: F_t(3,3)
! mechanical deformation gradient at the current time step
real(8) :: F(3,3)
!
! Variables for velocity gradient calculation
! Fdot
real(8) :: Fdot(3,3)
! velocity gradient at the current time step
real(8) :: L(3,3)
! inverse of the deformation gradient
real(8) :: Finv(3,3)
! determinant of the deformation gradient
real(8) :: detF
!
! Local state variable arrays
! sum of slip per slip system
real(8) :: gammasum_t(numslip_all(matid))
real(8) :: gammasum(numslip_all(matid))
! slip rates
real(8) :: gammadot_t(numslip_all(matid))
real(8) :: gammadot(numslip_all(matid))
! slip resistance
real(8) :: tauc_t(numslip_all(matid))
real(8) :: tauc(numslip_all(matid))
! effective overall slip resistance
! (tauc0 + GND + SSD + solute + substructure + forest + etc.)
real(8) :: tauceff_t(numslip_all(matid))
real(8) :: tauceff(numslip_all(matid))
! Note the size of GND is different
! gnd density (nslip + nscrew)
real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid))
real(8) :: gnd(numslip_all(matid)+numscrew_all(matid))
!
! ssd density (nslip)
real(8) :: ssd_t(numslip_all(matid))
real(8) :: ssd(numslip_all(matid))
! loop density (maxnloop)
real(8) :: loop_t(maxnloop)
real(8) :: loop(maxnloop)
! total forest dislocation density - derived from other terms
real(8) :: rhofor_t(numslip_all(matid))
real(8) :: rhofor(numslip_all(matid))
! total density
real(8) :: rhotot_t(numslip_all(matid))
real(8) :: rhotot(numslip_all(matid))
! forest dislocation density as a state variable
real(8) :: forest_t(numslip_all(matid))
real(8) :: forest(numslip_all(matid))
!
! Cauchy stress at the former time step
real(8) :: sigma_t(6)
!
! Strain increment
real(8) :: dstran(6)
!
! Scalar state variables
! equivalent Von-Mises plastic strain
real(8) :: evmp_t
real(8) :: evmp
!
! rotation
real(8) :: theta_t
real(8) :: theta
!
! cumulative slip
real(8) :: totgammasum_t
real(8) :: totgammasum
!
! plastic dissipation power
real(8) :: plasdiss_t
real(8) :: plasdiss
!
! solute strength
real(8) :: tausolute_t
real(8) :: tausolute
! substructure density
real(8) :: substructure_t
real(8) :: substructure
! total density
real(8) :: ssdtot_t
real(8) :: ssdtot
! scalar cumulartive density
real(8) :: sumrhotot_t
real(8) :: sumrhotot
!
! material-related local variables
! number screw systems
integer :: nscrew
! slip model flag
integer :: smodel
! creep model flag
integer :: cmodel
! hardening model flag
integer :: hmodel
! irradiation mdoel flag
integer :: imodel
! cubic slip flag
integer :: cubicslip
! material temperature
real(8) :: mattemp
! c/a ratio for hcp materials
real(8) :: caratio
! compliance at the crystal reference
real(8) :: Cc(6,6)
! geometric factor
real(8) :: gf
! shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! thermal expansion coefficient
real(8) :: alphamat(3,3)
! slip parameters
real(8) :: sparam(maxnparam)
! creep parameters
real(8) :: cparam(maxnparam)
! hardening parameters
real(8) :: hparam(maxnparam)
! irradiation parameters
real(8) :: iparam(maxnparam)
! Backstress parameters
real(8) :: bparam(maxnparam)
! Burgers vector
real(8) :: burgerv(numslip_all(matid))
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(numslip_all(matid),numslip_all(matid))
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(numslip_all(matid),numslip_all(matid))
! Latent hardening
real(8) :: hintmat1(numslip_all(matid),numslip_all(matid))
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(numslip_all(matid),numslip_all(matid))
!
!
! slip direction and slip plane normal at the crystal reference (undeformed)
real(8) :: dirc_0(numslip_all(matid),3)
real(8) :: norc_0(numslip_all(matid),3)
! slip direction and slip plane normal at the sample reference
real(8) :: dirs_t(numslip_all(matid),3)
real(8) :: nors_t(numslip_all(matid),3)
!
! Forest projection operators for GND and SSD
real(8) :: forestproj(numslip_all(matid),
+ numslip_all(matid)+numscrew_all(matid))
!
! Slip to screw system map
real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid))
!
! Schmid Dyadic
real(8) :: Schmid(numslip_all(matid),3,3)
real(8) :: Schmidvec(numslip_all(matid),6)
real(8) :: SchmidxSchmid(numslip_all(matid),6,6)
real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3)
real(8) :: nsi(6), sni(6)
!
!
!
! strain calculations
! total strain increment
real(8) :: dstran33(3,3)
! thermal strain increment
real(8) :: dstranth33(3,3), dstranth(6)
! total spin increment
real(8) :: domega(3)
! total spin (rate) 3x3 matrix
real(8) :: W(3,3), dW33(3,3)
!
! Elasticity transformation
! temporary array for elastic stiffness calculation
real(8) :: rot4(6,6)
! elasticity matrix at the deformed reference
real(8) :: Cs(6,6)
!
! Trial stress calculation
! trial stress
real(8) :: sigmatr(6)
!
! Backstress at current time
real(8) :: X(numslip_all(matid))
! Backstress at former time
real(8) :: X_t(numslip_all(matid))
! Backstress backup solution
real(8) :: X0(numslip_all(matid))
!
!
!
! Resolved shear stress calculation
! GUESS values
real(8) :: sigma0(6), jacobi0(6,6)
! value of resolved shear stress
real(8) :: tau0(numslip_all(matid))
!
! value of resolved shear stress
real(8) :: tau_t(numslip_all(matid))
!
! value of trial resolved shear stress
real(8) :: tautr(numslip_all(matid))
! absolute value of resolved shear stress
real(8) :: abstautr(numslip_all(matid))
!
! dummy variables
real(8) :: dummy3(3), dummy33(3,3)
real(8) :: dummy33_(3,3)
real(8) :: dummy6(6), dummy66(6,6)
integer :: dum1, dum2, dum3
! unused variables
real(8) :: notused1(maxnslip)
real(8) :: notused2(maxnslip)
real(8) :: notused3(maxnslip)
! In case materials subroutine entered everytime
! Strength interaction between dislocations
real(8) :: notused4(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: notused5(maxnslip,maxnslip)
! Latent hardening
real(8) :: notused6(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: notused7(maxnslip,maxnslip)
! Initial forest and substructure densities
real(8) :: notused8, notused9
!
! counter
integer :: is, i, j
!
!
!
! Reset sparse arrays
notused1=0.;notused2=0.;notused3=0.
notused4=0.;notused5=0.
notused6=0.;notused7=0.
!
!
!
! convergence check initially
! if sinh( ) in the slip law has probably blown up
! then try again with smaller dt
if(any(dfgrd1 /= dfgrd1)) then
! Set the outputs to zero initially
sigma = 0.
jacobi = I6
! cut back time
pnewdt = cutback
! warning message in .dat file
call error(11)
! go to the end of subroutine
return
end if
!
!
!
! phase-id
phaid = phaseid_all(matid)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
!
!
!
! undeformed slip direction
dirc_0 = dirc_0_all(matid,1:nslip,1:3)
! undeformed slip plane normal
norc_0 = norc_0_all(matid,1:nslip,1:3)
!
!
! Forest projection for GND
forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew)
!
!
! Slip to screw system mapping
slip2screw = slip2screw_all(matid,1:nscrew,1:nslip)
!
!
! Assign the global state variables
! to the local variables
! at the former time step
gammasum_t = statev_gammasum_t(noel,npt,1:nslip)
gammadot_t = statev_gammadot_t(noel,npt,1:nslip)
tauc_t = statev_tauc_t(noel,npt,1:nslip)
gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew)
ssd_t = statev_ssd_t(noel,npt,1:nslip)
loop_t = statev_loop_t(noel,npt,1:maxnloop)
ssdtot_t = statev_ssdtot_t(noel,npt)
forest_t = statev_forest_t(noel,npt,1:nslip)
substructure_t = statev_substructure_t(noel,npt)
evmp_t = statev_evmp_t(noel,npt)
plasdiss_t = statev_plasdiss_t(noel,npt)
theta_t = statev_theta_t(noel,npt)
totgammasum_t = statev_totgammasum_t(noel,npt)
tausolute_t = statev_tausolute_t(noel,npt)
sigma_t = statev_sigma_t(noel,npt,:)
Fp_t = statev_Fp_t(noel,npt,:,:)
Fth_t = statev_Fth_t(noel,npt,:,:)
Eec_t = statev_Eec_t(noel,npt,:)
! Crystal orientations at former time step
gmatinv_t = statev_gmatinv_t(noel,npt,:,:)
! Initial orientation
gmatinv_0 = statev_gmatinv_0(noel,npt,:,:)
! Backstress at former time step
X_t = statev_backstress_t(noel,npt,1:nslip)
!
! residual deformation gradient
Fr0=statev_Fr(noel,npt,:,:)
!
! Material parameters are constant
caratio = caratio_all(matid)
cubicslip = cubicslip_all(matid)
Cc = Cc_all(matid,:,:)
gf = gf_all(matid)
G12 = G12_all(matid)
alphamat = alphamat_all(matid,:,:)
burgerv = burgerv_all(matid,1:nslip)
!
!
sintmat1 = sintmat1_all(matid,1:nslip,1:nslip)
sintmat2 = sintmat2_all(matid,1:nslip,1:nslip)
hintmat1 = hintmat1_all(matid,1:nslip,1:nslip)
hintmat2 = hintmat2_all(matid,1:nslip,1:nslip)
!
!
!
smodel = slipmodel_all(matid)
sparam = slipparam_all(matid,1:maxnparam)
cmodel = creepmodel_all(matid)
cparam = creepparam_all(matid,1:maxnparam)
hmodel = hardeningmodel_all(matid)
hparam = hardeningparam_all(matid,1:maxnparam)
imodel = irradiationmodel_all(matid)
iparam = irradiationparam_all(matid,1:maxnparam)
bparam = backstressparam_all(matid,1:maxnparam)
!
!
!
!
! Temperature is constant and defined by the user
if (constanttemperature == 1) then
!
!
! Assign temperature
mattemp = temperature
!
!
!
! Temperature is defined by ABAQUS
! Material properties are entered every time
! Because properties can be temperature dependent
else if (constanttemperature == 0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
! get material constants
call materialparam(matid,mattemp,
+ dum1,dum2,dum3,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here
+ notused2,notused3,notused8,notused9,
+ smodel,sparam,cmodel,cparam,
+ hmodel,hparam,imodel,iparam,
+ notused4,notused5,notused6,
+ notused7,bparam) ! Interaction matrices are not updated here
!
!
!
!
!
end if
!
!
!
!
!
! Slip directions in the sample reference
call rotateslipsystems(phaid,nslip,caratio,
+ gmatinv_t,dirc_0,norc_0,dirs_t,nors_t)
!
!
! Calculate Schmid tensors and Schmid dyadic
Schmid=0.; SchmidxSchmid=0.
do is=1,nslip
!
! Slip direction
sdir = dirs_t(is,:)
! Slip plane normal
ndir = nors_t(is,:)
!
do i=1,3
do j=1,3
SNij(i,j) = sdir(i)*ndir(j)
NSij(j,i) = ndir(j)*sdir(i)
Schmid(is,i,j) = SNij(i,j)
enddo
enddo
!
!
!
!
call gmatvec6(SNij,sni)
!
call gmatvec6(NSij,nsi)
!
! Vectorized Schmid tensor
Schmidvec(is,1:6) = sni
!
do i=1,6
do j=1,6
SchmidxSchmid(is,i,j)=sni(i)*nsi(j)
enddo
enddo
!
enddo
!
!
!
! Calculate total and forest density
call totalandforest(phaid, nscrew, nslip,
+ gnd_t, ssd_t,
+ ssdtot_t, forest_t,
+ forestproj, slip2screw, rhotot_t,
+ sumrhotot_t, rhofor_t)
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv, sintmat1, sintmat2, tauc_t,
+ rhotot_t, sumrhotot_t, rhofor_t, substructure_t,
+ tausolute_t, loop_t, hmodel, hparam, imodel, iparam,
+ mattemp, tauceff_t)
!
!
!
!
! Elastic stiffness in the sample reference
!
! Rotation matrix - special for symmetric 4th rank transformation
call rotord4sig(gmatinv_t,rot4)
!
!
!
! Elasticity tensor in sample reference
dummy66=matmul(rot4,Cc)
Cs = matmul(dummy66,transpose(rot4))
!
!! To avoid numerical problems
! Cs = (Cs + transpose(Cs))/2.
!
!
!
!
!
! CALCULATION OF THERMAL STRAINS
!
! No thermal strains
if (constanttemperature == 1) then
!
!
dstranth = 0.
!
!
Fth_t = I3; Fth = I3
!
invFth=I3; detFth=1.
invFth_t=I3; detFth_t=1.
!
! Thermal strains if temperature change is defined by ABAQUS
else
!
! Thermal eigenstrain in the crystal reference system
dstranth33 = dtemp*alphamat
!
! Transform the thermal strains to sample reference
dstranth33 = matmul(matmul(gmatinv_0,dstranth33),
+ transpose(gmatinv_0))
!
!
!
!
!
! Convert to a vector
call matvec6(dstranth33,dstranth)
!
! Shear corrections
dstranth(4:6) = 2.0*dstranth(4:6)
!
!
!
! Thermal deformation gradient
Fth = Fth_t + dstranth33
!
! Invert the thermal distortions
call inv3x3(Fth,invFth,detFth)
!
call inv3x3(Fth_t,invFth_t,detFth_t)
!
!
!
!
end if
!
!
!
! CALCULATION OF RESIDUAL STRAINS
!
! Residual strains
if (readresidualstrainfile==1) then
!
! residual strains will be applied at the very first step
! linearly ramp the residual deformation
if (jstep==1) then
Fr = (Fr0-I3)*(tstep+dt)/tres + I3
Fr_t = (Fr0-I3)*tstep/tres + I3
else
Fr = Fr0
end if
!
call inv3x3(Fr,invFr,detFr)
call inv3x3(Fr_t,invFr_t,detFr_t)
!
! No residual strains
else
!
Fr=I3; Fr_t=I3
!
invFr=I3; detFr=1.
invFr_t=I3; detFr_t=1.
!
!
end if
!
!
!
! Take out the thermal distortions from the total deformation
F = matmul(dfgrd1,invFth)
!
F_t = matmul(dfgrd0,invFth_t)
!
! Similarly, take out the residual deformations
F = matmul(F,invFr)
!
F_t = matmul(F_t,invFr_t)
!
!
!
! MECHANICAL PART OF THE DEFORMATION GRADIENT
! Calculate velocity gradient
! Rate of deformation gradient
Fdot = (F - F_t) / dt
!
! Inverse of the deformation gradient
call inv3x3(F,Finv,detF)
!
! Velocity gradient
L = matmul(Fdot,Finv)
!
!
!
!
!
!
! CALCULATION OF TOTAL & MECHANICAL STRAINS
!
! Total stain increment from velocity gradient
dstran33=(L+transpose(L))*0.5*dt
!
!
!
call matvec6(dstran33,dstran)
!
! Shear corrections
dstran(4:6) = 2.0*dstran(4:6)
!
!
! Total spin
W=(L-transpose(L))*0.5
!
!
!
! Total spin increment - components
! This is corrected as follows: Eralp - Alvaro 19.02.2023
! The solution in Huang et al gives the negative -1/2*W
! We obtained the spin directly from velocity gradient
! 1. It is positive
! 2. It has to be divided by 2
domega(1) = W(1,2) - W(2,1)
domega(2) = W(3,1) - W(1,3)
domega(3) = W(2,3) - W(3,2)
domega = domega * dt / 2.
!
!
!
!
!
!
! CALCULATION OF TRIAL STRESS
!
! Trial stress
sigmatr = sigma_t + matmul(Cs,dstran)
!
!
!
!
!
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau_t(is) = dot_product(Schmidvec(is,:),sigma_t)
end do
!
!
!
! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tautr(is) = dot_product(Schmidvec(is,:),sigmatr)-X_t(is)
abstautr(is) = abs(tautr(is))
end do
!
!
! maximum ratio of rss to crss
maxx = maxval(abstautr/tauceff_t)
!
!
!
!
! DECISION FOR USING CRYSTAL PLASTICITY
! BASED ON THRESHOLD VALUE
!
! Elastic solution
if (maxx <= maxxcr) then
!
!
!
!
! stress
sigma = sigmatr
!
! material tangent
jacobi = Cs
!
!
! Assign the global state variables
! For NO SLIP condition
totgammasum=totgammasum_t
gammasum=gammasum_t
gammadot=0.
tauceff=tauceff_t
tauc=tauc_t
gnd=gnd_t
ssd=ssd_t
loop = loop_t
ssdtot=ssdtot_t
forest=forest_t
substructure=substructure_t
evmp=evmp_t
plasdiss=plasdiss_t
theta=theta_t
tausolute=tausolute_t
Fp=Fp_t
X=X_t
cpconv=1
cpconv0=0
!
! Update orietnations
! All the orientation changes are elastic - rotations
dW33=0.
dW33(1,2) = domega(1)
dW33(1,3) = -domega(2)
dW33(2,1) = -domega(1)
dW33(2,3) = domega(3)
dW33(3,1) = domega(2)
dW33(3,2) = -domega(3)
!
gmatinv = gmatinv_t + matmul(dW33,gmatinv_t)
!
! Elastic strains in the crystal lattice
! Add the former elastic strains
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dummy33)
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dummy33)
dummy33 = matmul(dummy33_,gmatinv)
!
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
Eec=Eec_t+dummy6
!
!
!
!
! Solve using crystal plasticity
else
!
!
!
! Guess if Forward Gradient Predictor scheme is not active
if (predictor == 0) then
!
sigma0 = (1.-phi)*sigma_t + phi*sigmatr
!
!
!
! This part is added by Chris Hardie (11/05/2023)
! Former stress scheme
elseif (predictor == 1) then
!
!
!
if (dt_t > 0.0) then
!
do i = 1, 6
sigma0(i) =
+ statev_sigma_t(noel,npt,i) +
+ (statev_sigma_t(noel,npt,i) -
+ statev_sigma_t2(noel,npt,i))*dt/dt_t
end do
!
else
sigma0 = sigma_t
end if
!
!
!
!
!
!
!
!
!
!
end if
!
!
! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS
! rss and its sign
do is = 1, nslip
tau0(is) = dot_product(Schmidvec(is,:),sigma0)
end do
!
!
!
call CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ F, Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0, sigmatr,
+ forestproj, slip2screw,
+ Schmid, Schmidvec, SchmidxSchmid,
+ smodel, sparam, cmodel, cparam,
+ imodel, iparam, hmodel, hparam,
+ bparam, sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t,
+ rhofor_t, forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, W, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum, totgammasum,
+ evmp, plasdiss, theta,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
!
!
!
!
!
!
!
!
!
! STILL NOT CONVERGED THE CUTBACK TIME
! Convergence check
! Use cpsolver did not converge
! Diverged! - use time cut backs
if (cpconv == 0) then
!
! Set the outputs to zero initially
sigma = 0.!statev_sigma_t(noel,npt,:)
jacobi = 0.!statev_jacobi_t(noel,npt,:,:)
! Set time cut back and send a message
pnewdt = cutback
!
endif
!
!
!
!
endif
!
!
!
!
!
! Assign the global state variables
statev_gammasum(noel,npt,1:nslip)=gammasum
statev_gammadot(noel,npt,1:nslip)=gammadot
statev_tauc(noel,npt,1:nslip)=tauc
statev_ssd(noel,npt,1:nslip)=ssd
statev_loop(noel,npt,1:maxnloop)=loop
statev_ssdtot(noel,npt)=ssdtot
statev_forest(noel,npt,1:nslip)=forest
statev_substructure(noel,npt)=substructure
statev_evmp(noel,npt)=evmp
statev_maxx(noel,npt)=maxx
statev_totgammasum(noel,npt)=totgammasum
statev_tausolute(noel,npt)=tausolute
statev_sigma(noel,npt,1:6)=sigma
statev_jacobi(noel,npt,1:6,1:6)=jacobi
statev_Fp(noel,npt,1:3,1:3)=Fp
statev_Fth(noel,npt,1:3,1:3)=Fth
statev_Eec(noel,npt,1:6)=Eec
! Crystal orientations at former time step
statev_gmatinv(noel,npt,1:3,1:3)=gmatinv
! Backstress
statev_backstress(noel,npt,1:nslip)=X
! Plastic dissipation power density
statev_plasdiss(noel,npt)=plasdiss
! Rotation
statev_theta(noel,npt)=theta
! Overall CRSS
statev_tauceff(noel,npt,1:nslip)=tauceff
!
! Write the outputs for post-processing
! If outputs are defined by the user
if (nstatv_outputs>0) then
!
call assignoutputs(noel,npt,nstatv,statev)
!
end if
!
!
!
!
!
!
return
end subroutine solve
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Semi-implicit / Explicit state update rule
! Solution using state variables at the former time step
subroutine CP_Dunne(matid, phaid,
+ nslip, nscrew, mattemp, Cs, gf, G12,
+ burgerv, cubicslip, caratio,
+ F, Fp_t, gmatinv_t, Eec_t,
+ gammadot_t, gammasum_t,
+ totgammasum_t, evmp_t, plasdiss_t,
+ sigma0, tau0,
+ sigmatr, forestproj, slip2screw,
+ Schmid, Schmidvec, SchmidxSchmid,
+ slipmodel, slipparam,
+ creepmodel, creepparam,
+ irradiationmodel, irradiationparam,
+ hardeningmodel, hardeningparam,
+ backstressparam,
+ sintmat1, sintmat2,
+ hintmat1, hintmat2,
+ tauceff_t, tauc_t, rhotot_t,
+ sumrhotot_t, ssdtot_t, rhofor_t,
+ forest_t, substructure_t,
+ gnd_t, ssd_t, loop_t, X_t,
+ dt, L, W, dstran,
+ Fp, gmatinv, Eec,
+ gammadot, gammasum, totgammasum,
+ evmp, plasdiss, theta,
+ tauceff, tauc, tausolute,
+ ssdtot, ssd, loop, X,
+ forest, substructure,
+ sigma, jacobi, cpconv)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnloop,
+ tauctolerance , SVDinversion,
+ backstressmodel, stateupdate, inversebackup
!
use innerloop, only : Dunne_innerloop, Hardie_innerloop
!
use utilities, only : vecmat6, matvec6,
+ nolapinverse, deter3x3, inv3x3, trace3x3,
+ vecmat9, matvec9, nolapinverse, SVDinverse,
+ polar
!
!
use hardening, only: hardeningrules
!
use backstress, only: backstressmodel1
!
use crss, only: slipresistance, totalandforest
!
use errors, only : error
!
implicit none
!
!
! INPUTS
!
! material-id
integer, intent(in) :: matid
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! number of screw sytems
integer, intent(in) :: nscrew
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! geometric factor
real(8), intent(in) :: gf
! elastic shear modulus
real(8), intent(in) :: G12
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! mechanical deformation gradient
real(8), intent(in) :: F(3,3)
! plastic part of the deformation gradient at former time step
real(8), intent(in) :: Fp_t(3,3)
! Crystal to sample transformation martrix at former time step
real(8), intent(in) :: gmatinv_t(3,3)
! Lattice strains
real(8), intent(in) :: Eec_t(6)
! slip rates at the former time step
real(8), intent(in) :: gammadot_t(nslip)
! total slip per slip system accumulated over the time
! at the former time step
real(8), intent(in) :: gammasum_t(nslip)
! overall total slip at the former time step
real(8), intent(in) :: totgammasum_t
! Von-Mises equivalent total plastic strain at the former time step
real(8), intent(in) :: evmp_t
! Plastic dissipation power density at the former time step
real(8), intent(in) :: plasdiss_t
! Cauchy stress guess
real(8), intent(in) :: sigma0(6)
! rss guess
real(8), intent(in) :: tau0(nslip)
! trial stress
real(8), intent(in) :: sigmatr(6)
! Forest projections
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
! Forest projections
real(8), intent(in) :: slip2screw(nscrew,nslip)
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! hardening model no.
integer, intent(in) :: hardeningmodel
! hardening model parameters
real(8), intent(in) :: hardeningparam(maxnparam)
! backstress model parameters
real(8), intent(in) :: backstressparam(maxnparam)
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
!
! overall crss
real(8), intent(in) :: tauceff_t(nslip)
! crss at former time step
real(8), intent(in) :: tauc_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: rhotot_t(nslip)
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: sumrhotot_t
! total dislocation density over all slip systems at the former time step
real(8), intent(in) :: ssdtot_t
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor_t(nslip)
! forest dislocation density per slip system at the former time step (hardening model = 4)
real(8), intent(in) :: forest_t(nslip)
! substructure dislocation density at the former time step
real(8), intent(in) :: substructure_t
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: gnd_t(nslip+nscrew)
! statistically-stored dislocation density per slip system at the former time step
real(8), intent(in) :: ssd_t(nslip)
! loop defect density per slip system at the former time step
real(8), intent(in) :: loop_t(maxnloop)
! backstress at former time step
real(8), intent(in) :: X_t(nslip)
! time increment
real(8), intent(in) :: dt
! total velocity gradient at the current time step
real(8), intent(in) :: L(3,3)
! total spin
real(8), intent(in) :: W(3,3)
! mechanical strain increment
real(8), intent(in) :: dstran(6)
!
!
!
! OUTPUTS
!
! plastic part of the deformation gradient
real(8), intent(out) :: Fp(3,3)
! Crystal to sample transformation martrix at current time step
real(8), intent(out) :: gmatinv(3,3)
! Green-Lagrange strains in the crystal reference
real(8), intent(out) :: Eec(6)
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(out) :: gammasum(nslip)
! overall total slip at the current time step
real(8), intent(out) :: totgammasum
! Von-Mises equivalent total plastic strain at the current time step
real(8), intent(out) :: evmp
! Plastic dissipation power density at the current time step
real(8), intent(out) :: plasdiss
! Scalar measure for rotation
real(8), intent(out) :: theta
! Current values of state variables
! overall crss
real(8), intent(out) :: tauceff(nslip)
! crss at the current time step
real(8), intent(out) :: tauc(nslip)
! solute strength due to irradiation hardening
real(8), intent(out) :: tausolute
! total dislocation density over all slip systems at the current time step
real(8), intent(out) :: ssdtot
! forest dislocation density per slip system at the current time step
real(8), intent(out) :: forest(nslip)
! substructure dislocation density at the current time step
real(8), intent(out) :: substructure
! statistically-stored dislocation density per slip system at the current time step
real(8), intent(out) :: ssd(nslip)
! loop defect density per slip system at the current time step
real(8), intent(out) :: loop(maxnloop)
! crss at the current time step
real(8), intent(out) :: X(nslip)
! Cauchy stress
real(8), intent(out) :: sigma(6)
! material tangent
real(8), intent(out) :: jacobi(6,6)
! convergence flag
integer, intent(out) :: cpconv
!
!
!
! Local variables used within this subroutine
!
! inverse of the mechanical deformation gradient
real(8) detF,invF(3,3)
! plastic velocity gradient for slip
real(8) Lp_s(3,3), Dp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3), Dp_c(3,3)
! plastic velocity gradient
real(8) Lp(3,3), Dp(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto crss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto crss for creep
real(8) dgammadot_dtauc_c(nslip)
!
!
! rss at the former time step
real(8) :: tau(nslip)
! absolute RSS and sign (used in Hardie scheme)
real(8) :: abstau(nslip), signtau(nslip)
!
! trial absolute RSS and sign (used in Hardie scheme)
real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
! Von-Mises equivalent plastic strain rate and increment
real(8) :: pdot
!
! stress increment
real(8) :: dsigma(6)
!
! stress 3x3 matrix
real(8) :: sigma33(3,3)
!
! plastic part of the deformation gradient
real(8) :: detFp, invFp(3,3)
!
! plastic part of the velocity gradient at the intermediate config.
real(8) :: Lp0(3,3)
!
! elastic part of the deformation gradient
real(8) :: Fe(3,3)
! elastic stretch and rotation
real(8) :: Re(3,3), Ue(3,3)
!
! elastic part of the velocity gradient
real(8) :: Le(3,3)
!
! elastic spin
real(8) :: We(3,3)
!
! increment in rotation matrix
real(8) :: dR(3,3)
!
! Von-Mises stress
real(8) :: sigmaii, vms, sigmadev(3,3)
!
! Co-rotational stress update
real(8) :: dotsigma33(3,3)
!
! Cauchy stress at former time step in 3x3
real(8) :: sigma33_t(3,3)
!
! Total mechanical strain increment
real(8) :: dstran33(3,3)
!
! plastic strain increment
real(8) :: dstranp33(3,3)
!
! elastic strain increment
real(8) :: dstrane33(3,3)
!
! crss increment
real(8) :: dtauc(nslip)
!
!
! ssd density increment
real(8) :: dssd(nslip)
!
! ssd density increment
real(8) :: dloop(maxnloop)
!
! backstress increment
real(8) :: dX(nslip)
!
! total ssd density increment
real(8) :: dssdtot
!
! forest dislocation density increment
real(8) :: dforest(nslip)
!
! substructure dislocation density increment
real(8) :: dsubstructure
!
! Residues
real(8) :: dtauceff(nslip), tauceff_old(nslip)
!
!
! overall forest density
real(8) :: rhofor(nslip)
!
! overall total density
real(8) :: rhotot(nslip)
!
! overall total scalar density
real(8) :: sumrhotot
!
! Overall residue
real(8) :: dtauceffnorm
!
! error flag for svd inversion
integer :: err
!
! other variables
real(8) :: dummy3(3), dummy33(3,3),
+ dummy33_(3,3), dummy6(6), dummy0
integer :: is, il, iter, oiter
integer :: iterinverse
!
!
! Set convergence flag to "converged"
cpconv = 1
!
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
!
!
! State assignments
gammasum=gammasum_t
tauc = tauc_t
tauceff = tauceff_t
ssdtot = ssdtot_t
ssd = ssd_t
loop = loop_t
rhofor = rhofor_t
X = X_t
forest = forest_t
substructure = substructure_t
!
! Reset variables for the inner iteration
oiter = 0
dtauceffnorm = 1.
!
!
! Outer loop for state update
do while ((dtauceffnorm >= tauctolerance)
+.and.(oiter < maxniter).and.(cpconv==1))
!
!
!
!
call Dunne_innerloop(
+ Schmid,SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
end if
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
endif
!
!
! Inverse scheme start here!!!
! Try inverse scheme if not converged
if ((cpconv==0).and.(inversebackup==1)) then
!
! Reset convergence flag
cpconv=1
!
! Calculate trial-resolved shear stress on slip systems
! Absolute value of trial-RSS and its sign
do is = 1, nslip
tautr(is)=dot_product(Schmidvec(is,:),sigmatr)-X_t(is)
signtautr(is)=sign(1.0,tautr(is))
abstautr(is)=abs(tautr(is))
end do
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigma0
tau = tau0
! Absolute value of RSS and its sign
do is = 1, nslip
signtau(is) = sign(1.0,tau0(is))
abstau(is) = abs(tau0(is))
end do
!
! Reverse slip scheme
call Hardie_innerloop(
+ Schmid,SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
!
!
!
! Recalculate RSS on slip systems
! RSS and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! Call the Dunne solver again
call Dunne_innerloop(
+ Schmid,SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
! assign jacobi and stress
if (cpconv == 0) then
return
end if
!
end if
! End of inverse solution
!
!
!
! Calculate Von Mises invariant plastic strain rate
pdot=sqrt(2./3.*sum(Dp*Dp))
!
!
! Total plastic strain increment
evmp = evmp_t + pdot*dt
!
! Total slip over time per slip system
gammasum = 0.
do is = 1, nslip
!
gammasum(is) = gammasum_t(is) +
+ gammadot(is)*dt
!
enddo
!
!
! Total slip
totgammasum = totgammasum_t +
+ sum(abs(gammadot))*dt
!
!
!
! convergence check
if (iter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
! Check for NaN in the slip rate vector
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for NaN in the stress vector
if(any(sigma/=sigma)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
!
!
!
!
! Update the states using hardening laws
call hardeningrules(phaid,nslip,
+ mattemp,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,
+ tauc_t,ssd_t,loop_t,
+ rhofor_t,rhotot_t,substructure_t,
+ tausolute,dtauc,dssdtot,dforest,
+ dsubstructure,dssd,dloop)
!
!
!
!
! Update the hardening states
!
tauc = tauc_t + dtauc
!
ssd = ssd_t + dssd
!
loop = loop_t + dloop
!
ssdtot = ssdtot_t + dssdtot
!
forest = forest_t + dforest
!
substructure = substructure_t + dsubstructure
!
!
!
! Recalculate total and forest density
call totalandforest(phaid,
+ nscrew, nslip, gnd_t,
+ ssd, ssdtot, forest,
+ forestproj, slip2screw, rhotot,
+ sumrhotot, rhofor)
!
!
!
! Store the former value of effective tauc
tauceff_old = tauceff
!
! Recalculate slip resistance for the next iteration
! Calculate crss
call slipresistance(phaid, nslip,
+ gf, G12, burgerv, sintmat1, sintmat2,
+ tauc, rhotot, sumrhotot, rhofor,
+ substructure, tausolute, loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff)
!
!
! Calculate the change of state
! with respect to the former increment
dtauceff = abs(tauceff-tauceff_old)
!
! Explicit state update
if (stateupdate==0) then
dtauceffnorm = 0.
! Semi-implicit state update
elseif (stateupdate==1) then
dtauceffnorm = maxval(dtauceff)
end if
!
!
!
! Check if the statevariables going negative due to softening
! This may happen at high temperature and strain rates constants going bad
if(any(tauc < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(any(ssd < 0.)) then
! did not converge
cpconv = 0
return
endif
!
! Loop density set to zero if negative
do il = 1, maxnloop
if(loop(il) < 0.) then
!
loop(il) = 0.
!
endif
enddo
!
!
if(any(forest < 0.)) then
! did not converge
cpconv = 0
return
endif
!
if(substructure < 0.) then
! did not converge
cpconv = 0
return
endif
!
!
! Update backstress if local model is selected
if (backstressmodel==1) then
!
call backstressmodel1(backstressparam,
+ nslip,X,gammadot,dt,dX)
!
! Update the backstress
X = X_t + dX
!
end if
!
!
! increment iteration no.
oiter = oiter + 1
!
! End of state update (outer loop)
end do
!
!
!
! convergence check
if (oiter == maxniter) then
! did not converge
cpconv = 0
return
end if
!
!
!
!
! calculate jacobian
jacobi = matmul(invdpsi_dsigma,Cs)
!
!
!
! Check for NaN in the jacobi matrix
if(any(jacobi/=jacobi)) then
! did not converge
cpconv = 0
return
endif
!
!
!
!
! convert it to 3x3 marix
call vecmat6(sigma,sigma33)
!
! Trace of stress
call trace3x3(sigma33,sigmaii)
!
! deviatoric stress
sigmadev = sigma33 - sigmaii*I3/3.
!
! Von-Mises stress
vms = sqrt(3./2.*(sum(sigmadev*sigmadev)))
!
!
! Integration method for Fp
!
! invert the total mechanical deformation gradient
call inv3x3(F,invF,detF)
!
! Check for zero determinant
if (detF==0.0d+0) then
! did not converge
cpconv = 0
return
endif
!
! Correction for the velocity gradient for deformed configuration
Lp0 = matmul(invF,matmul(Lp,F))
!
dummy33 = I3 + Lp0*dt
!
! plastic part of the deformation gradient
Fp = matmul(Fp_t,dummy33)
!
! determinant
call deter3x3(Fp,detFp)
!
! check wheter the determinant is negative
! or close zero
if (detFp <= smallnum) then
! did not converge
cpconv = 0
return
else
! Scale Fp with its determinant to make it isochoric
Fp = Fp / detFp**(1./3.)
!
end if
!
!
!
! Elastic part of the deformation field
call inv3x3(Fp,invFp,detFp)
Fe = matmul(F,invFp)
!
! Polar decomposition
call polar(Fe,Re,Ue)
!
! Trace
call trace3x3(Re,theta)
!
! Lattice rotation
theta = acos((theta-1.)/2.)
!
! Elastic part of the velocity gradient
Le = L - Lp
!
! Elastic spin
We = (Le - transpose(Le)) / 2.
!
!
!! UMAT DOES THE ROTATION UPDATE ITSELF
!! THERE IS NO NEED FOR THE ROTATION CORRECTION!
!! stress rate due to spin
! dotsigma33 = matmul(W,sigma33) - matmul(sigma33,W)
!!
!!
!! Update co-rotational sress state
! sigma33 = sigma33 + dotsigma33*dt
!!
!!
!! Vectorize stress
! call matvec6(sigma33,sigma)
!
!
!
!
!
! Orientation update
!
! Intermediate variable
dR = I3 + We*dt
!
!
!
!
! Update the crystal orientations
gmatinv = matmul(dR, gmatinv_t)
!
!
!
!
! Undo shear corrections
dummy6 = dstran
dummy6(4:6) = 0.5*dummy6(4:6)
!
! Convert the strain into matrix
call vecmat6(dummy6,dstran33)
!
! Elastic strain increment
dstrane33 = dstran33-dstranp33
!
! Elastic strains in the crystal reference
dummy33_ = matmul(transpose(gmatinv),dstrane33)
dummy33 = matmul(dummy33_,gmatinv)
!
! Vectorize
call matvec6(dummy33,dummy6)
!
! Shear corrections
dummy6(4:6) = 2.0*dummy6(4:6)
!
! Add the strain increment to the former value
Eec=Eec_t+dummy6
!
!
! Plastic dissipation power density
plasdiss=0.
do is = 1, nslip
!
plasdiss = plasdiss +
+ tau(is)*gammadot(is)*dt
!
enddo
!
!
! Sum over the fomer value
plasdiss = plasdiss_t + plasdiss
!
!
!
!
!
!
!
!
!
!
!
return
end subroutine CP_Dunne
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! Implicit state update rule
! Solution using the updated state variables
subroutine rotateslipsystems(iphase,nslip,caratio,
+ gmatinv,dirc,norc,dirs,nors)
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nslip
real(8), intent(in) :: caratio
real(8), intent(in) :: gmatinv(3,3)
real(8), intent(in) :: dirc(nslip,3)
real(8), intent(in) :: norc(nslip,3)
real(8), intent(out) :: dirs(nslip,3)
real(8), intent(out) :: nors(nslip,3)
!
integer :: i, is
real(8) :: tdir(3), tnor(3)
real(8) :: tdir1(3), tnor1(3)
real(8) :: dirmag, normag
!
dirs=0.;nors=0.
!
!
do is=1,nslip ! rotate slip directions
!
tdir = dirc(is,:)
tnor = norc(is,:)
!
!
!
tdir1 = matmul(gmatinv,tdir)
tnor1 = matmul(gmatinv,tnor)
!
dirmag = norm2(tdir1)
normag = norm2(tnor1)
!
!
dirs(is,:) = tdir1/dirmag
nors(is,:) = tnor1/normag
!
!
end do
!
!
!
!
return
end subroutine rotateslipsystems
!
!
!
!
!
!
!
!
!
!
!
!
!
end module cpsolver
================================================
FILE: OXFORD-UMAT v3.3/creep.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Creep laws
! 1. exponential law (used for Ni-superalloy)
!
module creep
implicit none
contains
!
!
subroutine expcreep(
+ Schmid,SchmidxSchmid,tau,X,tauc,
+ dtime,nslip,iphase,T,creepparam,slipsysplasstran,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc)
!
use globalvariables, only : Rgas
use utilities, only : gmatvec6
use userinputs, only: maxnparam
implicit none
! Schmid tensor - deformed
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! time increment
real(8), intent(in) :: dtime
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: creepparam(maxnparam)
! accumulated plastic strain on each slip system, signed
real(8), intent(in) :: slipsysplasstran(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd
real(8) :: abstau, signtau
integer :: is
!
!
!
!
! Obtain creep parameters
! reference creep rate (1/s)
gammadotc = creepparam(1)
! creep stress multiplier (1/MPa)
bc = creepparam(5)
! activation energy for creep (J/mol)
Qc = creepparam(3)
! reference damage rate (1/s)
gammadotd = creepparam(4)
! damage stress multiplier (1/MPa)
bd = creepparam(5)
! activation energy for damage (J/mol)
Qd = creepparam(6)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
!
gammadot=0.
dgammadot_dtau=0.
dgammadot_dtauc=0.
!
!
!
! contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! This statement is redundant so commented out!
! if (abstau > 0.0) then
!
!
gammadot(is) =
+ signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) +
+ signtau*abs(slipsysplasstran(is))*gammadotd*
+ exp(bd*abstau-Qd/Rgas/T)
!
dgammadot_dtau(is) = gammadotc*bc*
+ exp(bc*abstau-Qc/Rgas/T) +
+ abs(slipsysplasstran(is))*
+ gammadotd*bd*exp(bd*abstau-Qd/Rgas/T)
!
!
!
!
! contribution to Jacobian
Pmat = Pmat + dtime*dgammadot_dtau(is)
+ *SchmidxSchmid(is,:,:)
!
! plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
!
!
! endif
!
!
!
end do
!
!
!
!
! Find plastic flow direction
Dp = (Lp + transpose(Lp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
!
end subroutine expcreep
!
!
!
!
!
end module creep
================================================
FILE: OXFORD-UMAT v3.3/crss.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module crss
implicit none
contains
!
! ********************************************************
! ** crss calculates the crss of slip systems **
! ********************************************************
subroutine slipresistance(iphase,nslip,gf,G12,
+ burgerv,sintmat1,sintmat2,
+ tauc0,rhotot,sumrhotot,rhofor,
+ rhosub,tausolute,loop,
+ hardeningmodel, hardeningparam,
+ irradiationmodel,irradiationparam,
+ temperature,
+ tauc)
use userinputs, only: useaveragestatevars,
+ maxnloop, maxnparam
implicit none
!
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! geometric factor
real(8),intent(in) :: gf
!
! shear modulus for taylor dislocation law
real(8),intent(in) :: G12
!
! burgers vectors
real(8),intent(in) :: burgerv(nslip)
!
! Strength interaction matrices
! Strength interaction between dislocations
real(8), intent(in) :: sintmat1(nslip,nslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(in) :: sintmat2(nslip,nslip)
!
!
! critical resolved shear stress of slip systems
real(8),intent(in) :: tauc0(nslip)
!
! total dislocation density (immobile)
real(8),intent(in) :: rhotot(nslip)
!
! total scalar dislocation density (immobile)
real(8),intent(in) :: sumrhotot
!
! forest dislocation density
real(8),intent(in) :: rhofor(nslip)
!
! substructure dislocation density
real(8),intent(in) :: rhosub
!
! increase in tauc due to solute force
real(8),intent(in) :: tausolute
!
! increase in tauc due to loop defects
real(8),intent(in) :: loop(maxnloop)
!
! hardeningmodel
integer,intent(in) :: hardeningmodel
!
! hardening model parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! activate irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! current temperature
real(8),intent(in) :: temperature
!
! critical resolved shear stress of slip systems
real(8),intent(out) :: tauc(nslip)
!
! variables used in this subroutine
integer :: is, il, nloop
real(8) :: Ploop(nslip)
!
! Subtructure density
real(8) :: tausub(nslip)
! Substructure factor
real(8) :: ksub
!
! Precipitate strengthening parameters
! Strength factor / geometric factor
real(8) :: gfp
! Number density of precipitates [1/mm^3]
real(8) :: rhop
! Particle diameter [mm]
real(8) :: Dp
!
!
! Reset the density of loops
Ploop = 0.
!
! Reset Substructure density
tausub = 0.
!
! Precipitate parameters
! Vikram Phalke (UKAEA) - Cu or CuCrZr
! Precipitate strength for hardening model-5
if (hardeningmodel==5) then
! Precipitate strength parameters
gfp=hardeningparam(5)
rhop=hardeningparam(6)
Dp=hardeningparam(7)
! Vikram Phalke (UKAEA) - Cu or CuCrZr
! Precipitate strength for hardening model-5
elseif (hardeningmodel==7) then
gfp=hardeningparam(5)
rhop=hardeningparam(4)**(2./3.)! Note the exponent for hardening model-7!
Dp=1.
! No precipatate hardening
else
gfp=0.; rhop=0.; Dp=0.
end if
!
!
!
!
! If irradiation model-2 is set ON
! Compute the strength contribution
if (irradiationmodel==2) then
!
! Number of defects
nloop = int(irradiationparam(1))
!
do is = 1, nslip
!
!
do il = 1, 3
!
Ploop(is) = Ploop(is) +
+ sintmat2(is,il)**2. * loop(il)
!
end do
!
end do
!
!
!
end if
!
!
!
!
!
!
!
! Check crystal type
! Only for alpha-uranium there is an exception
!
!
!
! Defined by data fitting
! as a function of rhofor, rhosub, and temperature
if (iphase == 4) then
!
! alpha-uranium model with forest and substructure dislocations
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome
! Deformation of wrought uranium: experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) +
+ 1.8218 * dsqrt(rhosub) *
+ log(1. / burgerv(1) / dsqrt(rhosub))
tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) +
+ 1.7995 * dsqrt(rhosub) *
+ log(1. / burgerv(2) / dsqrt(rhosub))
tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(3) / dsqrt(rhosub))
tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) +
+ 5.1650 * dsqrt(rhosub) *
+ log(1. / burgerv(4) / dsqrt(rhosub))
tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(5) / dsqrt(rhosub))
tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(6) / dsqrt(rhosub))
tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(7) / dsqrt(rhosub))
tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) +
+ 11.7875 * dsqrt(rhosub) *
+ log(1. / burgerv(8) / dsqrt(rhosub))
!
! zecevic 2016 temperature dependence
tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0)
tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0)
tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0)
tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0)
tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0)
tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0)
tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0)
tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0)
!
! daniel, lesage, 1971 minimum value as minima
tauc(1) = max(tauc(1),4.0)
tauc(2) = max(tauc(2),4.0)
tauc(3) = max(tauc(3),4.0)
tauc(4) = max(tauc(4),4.0)
tauc(5) = max(tauc(5),4.0)
tauc(6) = max(tauc(6),4.0)
tauc(7) = max(tauc(7),4.0)
tauc(8) = max(tauc(8),4.0)
!
!
!
! For any other phase
! Use forest/total dislocation spacing to determine the strength
!
else
!
! Substructure density
if (hardeningmodel==4) then
!
do is = 1, nslip
ksub = hardeningparam(9)
tausub(is) = ksub*G12*burgerv(is)*
+ dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub))
end do
!
end if
!
!
if (useaveragestatevars == 0) then
!
do is = 1, nslip
!
!
!! Taylor strength - total density / backstress
! tauc(is) = tauc0(is) +
! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is))
!
!
! Taylor strength - forest spacing / cut-through
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
!
!
elseif (useaveragestatevars == 1) then
!
!
do is = 1, nslip
!
! Taylor strength - total density
tauc(is) = tauc0(is) +
+ G12*burgerv(is)*dsqrt(gf**2.*sumrhotot +
+ Ploop(is) + gfp**2.*rhop*Dp)
!
!
!! Taylor strength - total density
! tauc(is) = tauc0(is)*(1.-X) +
! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) +
! + gf**2.*rhotot + Ploop(is))
!
!
! Add the effect of substructure density
tauc(is) = tauc(is) + tausub(is)
!
end do
!
endif
!
!
!
!
!
!
!
end if ! check crystal type
!
!
!
! Effect of irradiation
! True for all crystal types
if (irradiationmodel == 1) then
tauc = tauc + tausolute
end if
!
!
!
return
!
end subroutine slipresistance
!
!
!
! Calculates the total and forest density
! from SSD and GND densities using summation
! and forest projections
subroutine totalandforest(iphase, nscrew, nslip,
+ gnd, ssd, ssdtot, forest, forestproj, slip2screw,
+ rhotot, sumrhotot, rhofor)
use utilities, only : vecprod
implicit none
integer, intent(in) :: iphase
integer, intent(in) :: nscrew
integer, intent(in) :: nslip
real(8), intent(in) :: gnd(nslip+nscrew)
real(8), intent(in) :: ssd(nslip)
real(8), intent(in) :: ssdtot
real(8), intent(in) :: forest(nslip)
real(8), intent(in) :: forestproj(nslip,nslip+nscrew)
real(8), intent(in) :: slip2screw(nscrew,nslip)
real(8), intent(out) :: rhotot(nslip)
real(8), intent(out) :: sumrhotot
real(8), intent(out) :: rhofor(nslip)
!
! local variables
!
real(8) vec(3)
integer i, j
!
!
!
!
!
! Compute forest density
! Add gnd and sdd contributions (if exist)
! Forest projections
rhofor = forest + matmul(forestproj, abs(gnd)) +
+ matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges
+ matmul(forestproj(1:nslip,nslip+1:nslip+nscrew),
+ matmul(slip2screw,ssd)) ! screws
!
!
rhotot = ssd +
+ abs(gnd(1:nslip)) + ! edges
+ matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws
!
!
!
! Scalar sum
sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot
!
!
return
end subroutine totalandforest
!
end module crss
================================================
FILE: OXFORD-UMAT v3.3/errors.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This is written point the user to the sources of errors
!
module errors
implicit none
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine error(errorid)
implicit none
!
!
!
integer :: errorid
!
!
! Message only when exiting the subroutine
!
if(errorid.eq.1) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-001: Material-ID is out of range (1-9).
+ Pls. check materials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.2) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-002: Element type is not defined!
+ Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.3) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-003: "cubicslip" integer parameter is not
+ properly defined. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.4) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-004: phase id of the material is not
+ within the possible limits!. Pls. check PROPS variable!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.5) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-005: "temperatureflag" is not
+ within the possible limits. Pls. check userinputs.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.6) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-006: "NSTATV" is less than the
+ defined outputs.
+ Pls. check DEPVAR in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.7) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-007: GND calculation is not possible
+ for the selected element type.
+ Pls. change the element type in ABAQUS!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.8) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-008: Zero activation volume!
+ Pls. check the slip parameters and make sure that the
+ initial dislocation density has non-zero value
+ in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
else if (errorid.eq.9) then
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-009: Could not read the element type
+ and the total number of elements from *.INP file.
+ Pls. check the file name in usermaterials.f!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
else if (errorid.eq.10) then
! write(*,*) '*******************ERROR*******************'
! write(*,*) 'ERROR-010: "Bmat" for L2 method
! + is not invertible.
! + GND model will give zero GND densities!.'
! write(*,*) '*******************************************'
else if (errorid.eq.11) then
! write(*,*) '******************WARNING******************'
! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '*******************************************'
else if (errorid.eq.12) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-012: Lp iteration did not converge'
! write(*,*) 'Using forward-gradient Euler predictor'
! write(*,*) '**********************************************'
else if (errorid.eq.13) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-013: singular matrix in Lp iteration'
! write(*,*) 'Will continue if alternate solution exists!'
! write(*,*) '**********************************************'
else if (errorid.eq.14) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-014: forward-gradient Euler predictor
! + did not converge or it does not exist'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.15) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-015: tmat array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.16) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-016: NR scheme reached maximum number of
! + iterations'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.17) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-017: stress array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.18) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-018: jacobian array contains NaN elements'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.19) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-019: det(Fp) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.20) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-020: det(Fe) is close to zero'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.21) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-021: state variables become negative'
! write(*,*) 'Cut-back time by one-half!'
! write(*,*) '**********************************************'
else if (errorid.eq.22) then
! write(*,*) '******************WARNING********************'
! write(*,*) 'ERROR-022: inversion in predictor did not work'
! write(*,*) ''
! write(*,*) '**********************************************'
else
write(*,*) '*******************ERROR*******************'
write(*,*) 'ERROR-???: Unknown error!'
write(*,*) 'Exiting!'
write(*,*) '*******************************************'
call xit
end if
!
!
return
end subroutine error
!
!
!
end module errors
================================================
FILE: OXFORD-UMAT v3.3/globalvariables.f
================================================
! Sept. 20th, 2022
! Eralp Demir
! University of Oxford
!
! Global variables used within the code
module globalvariables
implicit none
!
!
!
! MATERIAL-LINKED GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! Global variable for Euler angles
real(8), allocatable, public :: Euler(:,:)
! Global variable storing grain id
! Different grains can be present in the mesh
integer, allocatable, public :: featureid(:,:)
!
! Global variable storing material id
integer, allocatable, public :: materialid(:,:)
!
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid(:,:)
!
!
!
! Global variable storing phase-id
! This refers to the crystal structure
! Different phases can be present in the mesh
integer, allocatable, public :: phaseid_all(:)
!
! Global variable for number of slip systems
! Number of slip systems could be different for each ip
integer, allocatable, public :: numslip_all(:)
!
! Global variable for number of slip systems
! Required for GND calculations
! Number of slip systems could be different for each ip
integer, allocatable, public :: numscrew_all(:)
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, allocatable, public :: slipmodel_all(:)
!
! Slip parameters
! Array size adjustable
real(8), allocatable, public :: slipparam_all(:,:)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
!
!
! Creep model identifier
! 0: no creep
! 1: sinh slip strain
! 2: exponential slip strain
! 3: power law slip strain
! 4: sinh slip strain + climb strain
! Default value is set to 0
integer, allocatable, public :: creepmodel_all(:)
! Creep parameters
! Array size adjustable
real(8), allocatable, public :: creepparam_all(:,:)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Kocks-Mecking hardening
! 2: Voce type hardening
! Default value is set to 0
integer, allocatable, public :: hardeningmodel_all(:)
! Hardening parameters
! Array size adjustable
real(8), allocatable, public :: hardeningparam_all(:,:)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, allocatable, public :: irradiationmodel_all(:)
! Irradiation model parameters
! Array size adjustable
real(8), allocatable, public :: irradiationparam_all(:,:)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
!
! Backstress model parameters
! Array size adjustable (maxnmaterial, maxnparam)
real(8), allocatable, public :: backstressparam_all(:,:)
!
! The following variables are stored for every element and ip
! INITALLY - only once at the beginning
! This is done for the following reasons
! 1. In order to reduce computation time
! 2. Various materials can be present in the mesh
!
! Global variable for caratio
real(8), allocatable, public :: caratio_all(:)
!
! Global variable for cubicslip
integer, allocatable, public :: cubicslip_all(:)
!
! Global variable for elasticity in crystal reference
real(8), allocatable, public :: Cc_all(:,:,:)
!
! Global variable for geometric factor in Taylor equation
real(8), allocatable, public :: gf_all(:)
!
! Global variable for shear modulus
real(8), allocatable, public :: G12_all(:)
!
! Global variable for Poisson's ratio
real(8), allocatable, public :: v12_all(:)
!
! Global variable for thermal expansion matrix
real(8), allocatable, public :: alphamat_all(:,:,:)
!
! Global variable for Burgers vector
real(8), allocatable, public :: burgerv_all(:,:)
!
!
! INTERACTION MATRICES
! Global variables for dislocation strength interaction matrix
real(8), allocatable, public :: sintmat1_all(:,:,:)
!
! Global variable for dislocation irradiation loop strength interaction matrix
real(8), allocatable, public :: sintmat2_all(:,:,:)
!
! Global variable for latent hardening interaction
real(8), allocatable, public :: hintmat1_all(:,:,:)
!
! Global variable for dislocation hardening interaction
real(8), allocatable, public :: hintmat2_all(:,:,:)
!
! Screw systems
integer, allocatable, public :: screw_all(:,:)
!
!
!
! -------------------------------------------------------------------------------
!
!
!
!
! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES
! -------------------------------------------------------------------------------
! time at former time step
real(8), public :: time_old
!
! time increment at former time step
real(8), public :: dt_t
!
! Global initialization flag for elemental initialization
! Orientation assigment
! Initial slip direction calculations
! Global coordinates
integer, allocatable, public :: initialized_firstinc(:,:)
!
!
! Global initialization flag for IP initialization
integer, allocatable, public :: ip_init(:,:)
!
! Global one-time initialization flag
integer, public :: init_once
!
! Global one-time initialization flag
integer, public :: grad_init
!
! Global flag for IP count (10m elements, 100 ips)
integer, allocatable, public :: ip_count(:,:)
!
! Crystal orientation at current time step
real(8), allocatable, public :: statev_gmatinv(:,:,:,:)
! Crystal orientation at former time step
real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:)
! Crystal orientation initially
real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:)
!
! Total cumulative Von-Mises equivalent plastic strain at current time step
real(8), allocatable, public :: statev_evmp(:,:)
! Total cumulative Von-Mises equivalent plastic strain at former time step
real(8), allocatable, public :: statev_evmp_t(:,:)
!
! Plastic dissipation power density at current time step
real(8), allocatable, public :: statev_plasdiss(:,:)
! Plastic dissipation power density at former time step
real(8), allocatable, public :: statev_plasdiss_t(:,:)
!
! Rotation at current time step at current time step (in radians)
real(8), allocatable, public :: statev_theta(:,:)
! Rotation at current time step at former time step (in radians)
real(8), allocatable, public :: statev_theta_t(:,:)
!
! Effective critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauceff(:,:,:)
!
!
! Total cumulative slip at current time step
real(8), allocatable, public :: statev_totgammasum(:,:)
! Total cumulative slip at former time step
real(8), allocatable, public :: statev_totgammasum_t(:,:)
!
! Cumulative slip at current time step
real(8), allocatable, public :: statev_gammasum(:,:,:)
! Cumulative slip at former time step
real(8), allocatable, public :: statev_gammasum_t(:,:,:)
!
! Slip rates at current time step
real(8), allocatable, public :: statev_gammadot(:,:,:)
! Slip rates at former time step
real(8), allocatable, public :: statev_gammadot_t(:,:,:)
!
!
! Plastic part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fp(:,:,:,:)
! Plastic part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fp_t(:,:,:,:)
!
! Global variable for the total residual deformation
real(8), allocatable, public :: statev_Fr(:,:,:,:)
!
! Thermal part of the deformation gradient at current time step
real(8), allocatable, public :: statev_Fth(:,:,:,:)
! Thermal part of the deformation gradient at former time step
real(8), allocatable, public :: statev_Fth_t(:,:,:,:)
!
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_sigma(:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_sigma_t(:,:,:)
! Cauchy stress at previous time step
real(8), allocatable, public :: statev_sigma_t2(:,:,:)
!
! Cauchy stress at current time step
real(8), allocatable, public :: statev_jacobi(:,:,:,:)
! Cauchy stress at former time step
real(8), allocatable, public :: statev_jacobi_t(:,:,:,:)
!
!
! Critical resolved shear stress at current time step
real(8), allocatable, public :: statev_tauc(:,:,:)
! Critical resolved shear stress at former time step
real(8), allocatable, public :: statev_tauc_t(:,:,:)
!
! maximum of the tau/tauc ratio at current time step
real(8), allocatable, public :: statev_maxx(:,:)
! maximum of tau/tauc ratio at former time step
real(8), allocatable, public :: statev_maxx_t(:,:)
!
! elastic strains at the crystal ref. at current time step
real(8), allocatable, public :: statev_Eec(:,:,:)
! elastic strains at the crystal ref. at former time step
real(8), allocatable, public :: statev_Eec_t(:,:,:)
!
! Lattice curvature at current time step
real(8), allocatable, public :: statev_curvature(:,:,:)
!
! Incompatibility at current time step
real(8), allocatable, public :: statev_Lambda(:,:,:)
! Incompatibility at former time step
real(8), allocatable, public :: statev_Lambda_t(:,:,:)
!
! GND density per slip system at current time step
real(8), allocatable, public :: statev_gnd(:,:,:)
! GND density per slip system at former time step
real(8), allocatable, public :: statev_gnd_t(:,:,:)
! GND density per slip system initially - EBSD import
real(8), allocatable, public :: statev_gnd_0(:,:,:)
!
! SSD density per slip system at current time step
real(8), allocatable, public :: statev_ssd(:,:,:)
! SSD density per slip system at former time step
real(8), allocatable, public :: statev_ssd_t(:,:,:)
!
! Total SSD density at current time step
real(8), allocatable, public :: statev_ssdtot(:,:)
! Total SSD density at former time step
real(8), allocatable, public :: statev_ssdtot_t(:,:)
!
! Forest dislocation density per slip system at current time step
real(8), allocatable, public :: statev_forest(:,:,:)
! Forest dislocation density per slip system at former time step
real(8), allocatable, public :: statev_forest_t(:,:,:)
!
! Substructure dislocation density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_substructure(:,:)
! Substructure dislocation density for irradiation per slip system at former time step
real(8), allocatable, public :: statev_substructure_t(:,:)
!
! Solute strength for irradiation per slip system at current time step
real(8), allocatable, public :: statev_tausolute(:,:)
! Solute strength for irradiation per slip system at former time step
real(8), allocatable, public :: statev_tausolute_t(:,:)
!
!
! Defect loop density for irradiation per slip system at current time step
real(8), allocatable, public :: statev_loop(:,:,:)
! Defect loop for irradiation per slip system at former time step
real(8), allocatable, public :: statev_loop_t(:,:,:)
!
! Backstress per slip system at current time step
real(8), allocatable, public :: statev_backstress(:,:,:)
! Backstress per slip system at former time step
real(8), allocatable, public :: statev_backstress_t(:,:,:)
!
! -------------------------------------------------------------------------------
!
!
!
! MESH INPUTS
! -------------------------------------------------------------------------------
!
! Total number of elements in the mesh
! Adaptive mesh cannot be used!
integer, public :: numel
!
! Element type
! Single element type is possible throughout the mesh
! Please do not leave any spaces between the characters
! Use the element types defined in ABAQUS element library
! Please see meshprop.f for the list of available element types
character(len=:), allocatable, public :: eltyp
!
!
! Number of integration points per element
integer, public :: numpt
!
! Number of nodes per element
integer, public :: nnpel
!
!
! Dimensions of the problem:
! Tensor dimensions in UMAT
integer, public :: numtens
!
! 2: 2D / 3: 3D
integer, public :: numdim
!
!
! Number of neighbors
integer, allocatable, public :: numneigh(:,:)
!
! Element numbers of neighbors
integer, allocatable, public :: eleneigh(:,:,:)
!
! Integration points of neighbors
integer, allocatable, public :: iptneigh(:,:,:)
!
! Weighting factor of neighbors
real(8), allocatable, public :: facneigh(:,:,:)
!
! -------------------------------------------------------------------------------
!
!
!
! -------------------------------------------------------------------------------
!
! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS
! -------------------------------------------------------------------------------
! These variables will be assigned at the initialization
! A single type of element is assumed throughout the mesh
!
! integration point domain (area/volume)
real(8), allocatable, public :: ipdomain(:,:)
!
! integration point weights
real(8), allocatable, public :: ipweights(:)
!
! Global integration point coordinates
real(8), allocatable, public :: ipcoords(:,:,:)
!
! Element specific shape functions and mappings
! Dependent on element type
!
! Gradient map for elements
real(8), allocatable, public :: gradip2ip(:,:,:,:)
!
! Interpolation matrix
real(8), allocatable, public :: Nmat(:,:)
!
! Inverse of interpolation matrix
real(8), allocatable, public :: invNmat(:,:)
!
! Shape function derivatives
real(8), allocatable, public :: dNmat(:,:,:)
!
! Shape function derivatives at element center
real(8), allocatable, public :: dNmatc(:,:)
!
! Element having a single IP
integer, public :: calculategradient
!
! -------------------------------------------------------------------------------
!
!
!
!
! CONSTANTS
! -------------------------------------------------------------------------------
!
! Number pi
real(8), parameter, public :: pi = 3.14159265359
!
! Taylor factor for a polycrytal aggregate
real(8), parameter, public :: TF = 3.1
!
! Universal gas contant [J/mol/K]
real(8), parameter, public :: Rgas = 8.31432
!
! Boltzman contant [m2 kg s-2 K-1 ]
real(8), parameter, public :: KB = 1.380649d-23
!
! Small real number
real(8), parameter, public :: smallnum = 1.0d-20
!
! Large real number
real(8), parameter, public :: largenum = 1.0d+50
!
! A random number array generated initially
real(8), allocatable, public :: randnum(:)
!
! -------------------------------------------------------------------------------
!
!
!
!
! IDENTITY TENSORS
! -------------------------------------------------------------------------------
!
! Identity matrix (3x3)
real(8), public :: I3(3,3)
!
! Identity matrix (6x6)
real(8), public :: I6(6,6)
!
! Identity matrix (9x9)
real(8), public :: I9(9,9)
!
! Permutation symbol (3,3,3)
real(8), public :: eijk(3,3,3)
!
!
! SLIP DIRECTIONS
! -------------------------------------------------------------------------------
!
!
! Global variable for slip directions
! Slip direction can be different for each material
real(8), allocatable, public :: dirc_0_all(:,:,:)
!
! Global variable for slip plane normal
! Slip plane normal can be different for each material
real(8), allocatable, public :: norc_0_all(:,:,:)
!
! Global variable for transverse direction
! Transverse direction can be different for each material
real(8), allocatable, public :: trac_0_all(:,:,:)
!
! Global variable for line direction
! Line direction can be different for each material
real(8), allocatable, public :: linc_0_all(:,:,:)
!
! Global variable for forest projections
! Forest projection for GND and SSD
! Can be different for each material
real(8), allocatable, public :: forestproj_all(:,:,:)
!
! Global variable to map screw dislocations from the corespondent slip systems
! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system
! Therefore, need to account for only the defined set of screw systems
! Can be different for each material
real(8), allocatable, public :: slip2screw_all(:,:,:)
!
!
!
! BCC slip directions
real(8), public :: dir1(48,3)
! <111> {110} slip family
data dir1(1,:) /-1., 1., 1. /
data dir1(2,:) / 1., -1., 1. /
data dir1(3,:) / 1., 1., 1. /
data dir1(4,:) / 1., -1., 1. /
data dir1(5,:) / 1., 1., 1. /
data dir1(6,:) / 1., 1., -1. /
data dir1(7,:) / 1., 1., 1. /
data dir1(8,:) /-1., 1., 1. /
data dir1(9,:) / 1., -1., 1. /
data dir1(10,:) /1., 1., -1. /
data dir1(11,:) /-1., 1., 1. /
data dir1(12,:) / 1., 1., -1. /
! <111> {112} slip family
data dir1(13,:) / 1., 1., -1. /
data dir1(14,:) / 1., -1., 1. /
data dir1(15,:) /-1., 1., 1. /
data dir1(16,:) / 1., 1., 1. /
data dir1(17,:) / 1., -1., 1. /
data dir1(18,:) / 1., 1., -1. /
data dir1(19,:) / 1., 1., 1. /
data dir1(20,:) /-1., 1., 1. /
data dir1(21,:) /-1., 1., 1. /
data dir1(22,:) / 1., 1., 1. /
data dir1(23,:) / 1., 1., -1. /
data dir1(24,:) / 1., -1., 1. /
! <111> {123} slip family
data dir1(25,:) / 1., 1., -1. /
data dir1(26,:) / 1., -1., 1. /
data dir1(27,:) /-1., 1., 1. /
data dir1(28,:) / 1., 1., 1. /
data dir1(29,:) / 1., -1., 1. /
data dir1(30,:) / 1., 1., -1. /
data dir1(31,:) / 1., 1., 1. /
data dir1(32,:) /-1., 1., 1. /
data dir1(33,:) / 1., 1., -1. /
data dir1(34,:) / 1., -1., 1. /
data dir1(35,:) /-1., 1., 1. /
data dir1(36,:) / 1., 1., 1. /
data dir1(37,:) / 1., -1., 1. /
data dir1(38,:) / 1., 1., -1. /
data dir1(39,:) / 1., 1., 1. /
data dir1(40,:) /-1., 1., 1. /
data dir1(41,:) /-1., 1., 1. /
data dir1(42,:) / 1., 1., 1. /
data dir1(43,:) / 1., 1., -1. /
data dir1(44,:) / 1., -1., 1. /
data dir1(45,:) /-1., 1., 1. /
data dir1(46,:) / 1., 1., 1. /
data dir1(47,:) / 1., 1., -1. /
data dir1(48,:) / 1., -1., 1. /
!
!
! BCC slip plane normals
real(8), public :: nor1(48,3)
! <111> {110} slip family
data nor1(1,:) / 1., 1., 0. /
data nor1(2,:) / 1., 1., 0. /
data nor1(3,:) /-1., 0., 1. /
data nor1(4,:) /-1., 0., 1. /
data nor1(5,:) /-1., 1., 0. /
data nor1(6,:) /-1., 1., 0. /
data nor1(7,:) / 0., 1., -1. /
data nor1(8,:) / 0., 1., -1. /
data nor1(9,:) / 0., 1., 1. /
data nor1(10,:) / 0., 1., 1. /
data nor1(11,:) / 1., 0., 1. /
data nor1(12,:) / 1., 0., 1. /
! <111> {112} slip family
data nor1(13,:) / 1., 1., 2. /
data nor1(14,:) /-1., 1., 2. /
data nor1(15,:) / 1., -1., 2. /
data nor1(16,:) / 1., 1., -2. /
data nor1(17,:) / 1., 2., 1. /
data nor1(18,:) /-1., 2., 1. /
data nor1(19,:) / 1., -2., 1. /
data nor1(20,:) / 1., 2., -1. /
data nor1(21,:) / 2., 1., 1. /
data nor1(22,:) /-2., 1., 1. /
data nor1(23,:) / 2., -1., 1. /
data nor1(24,:) / 2., 1., -1. /
! <111> {123} slip family
data nor1(25,:) / 1., 2., 3. /
data nor1(26,:) / -1., 2., 3. /
data nor1(27,:) / 1., -2., 3. /
data nor1(28,:) / 1., 2., -3. /
data nor1(29,:) / 1., 3., 2. /
data nor1(30,:) / -1., 3., 2. /
data nor1(31,:) / 1., -3., 2. /
data nor1(32,:) / 1., 3., -2. /
data nor1(33,:) / 2., 1., 3. /
data nor1(34,:) / -2., 1., 3. /
data nor1(35,:) / 2., -1., 3. /
data nor1(36,:) / 2., 1., -3. /
data nor1(37,:) / 2., 3., 1. /
data nor1(38,:) / -2., 3., 1. /
data nor1(39,:) / 2., -3., 1. /
data nor1(40,:) / 2., 3., -1. /
data nor1(41,:) / 3., 1., 2. /
data nor1(42,:) / -3., 1., 2. /
data nor1(43,:) / 3., -1., 2. /
data nor1(44,:) / 3., 1., -2. /
data nor1(45,:) / 3., 2., 1. /
data nor1(46,:) / -3., 2., 1. /
data nor1(47,:) / 3., -2., 1. /
data nor1(48,:) / 3., 2., -1. /
!
!
!
! FCC slip directions
real(8), public :: dir2(18,3)
! <110> {111} slip family
data dir2(1,:) / 1., -1., 0. /
data dir2(2,:) / 0., 1., -1. /
data dir2(3,:) / 1., 0., -1. /
data dir2(4,:) / 1., 1., 0. /
data dir2(5,:) / 0., 1., -1. /
data dir2(6,:) / 1., 0., 1. /
data dir2(7,:) / 1., 1., 0. /
data dir2(8,:) / 0., 1., 1. /
data dir2(9,:) / 1., 0., -1. /
data dir2(10,:) / 1., -1., 0. /
data dir2(11,:) / 0., 1., 1. /
data dir2(12,:) / 1., 0., 1. /
! <110> {100} cubic slip family
data dir2(13,:) / 0., 1., 1. /
data dir2(14,:) / 0., 1., -1. /
data dir2(15,:) / 1., 0., 1. /
data dir2(16,:) / 1., 0., -1. /
data dir2(17,:) / 1., 1., 0. /
data dir2(18,:) / 1., -1., 0. /
!
!
! FCC slip plane normals
real(8), public :: nor2(18,3)
! <110> {111} slip family
data nor2(1,:) / 1., 1., 1. /
data nor2(2,:) / 1., 1., 1. /
data nor2(3,:) / 1., 1., 1. /
data nor2(4,:) /-1., 1., 1. /
data nor2(5,:) /-1., 1., 1. /
data nor2(6,:) /-1., 1., 1. /
data nor2(7,:) / 1., -1., 1. /
data nor2(8,:) / 1., -1., 1. /
data nor2(9,:) / 1., -1., 1. /
data nor2(10,:) / 1., 1., -1. /
data nor2(11,:) / 1., 1., -1. /
data nor2(12,:) / 1., 1., -1. /
! <110> {100} cubic slip family
data nor2(13,:) / 1., 0., 0. /
data nor2(14,:) / 1., 0., 0. /
data nor2(15,:) / 0., 1., 0. /
data nor2(16,:) / 0., 1., 0. /
data nor2(17,:) / 0., 0., 1. /
data nor2(18,:) / 0., 0., 1. /
!
!
! The directions are corrected by Alvaro 23.02.2023
! HCP slip directions
real(8), public :: dir3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data dir3h(1,:) / 2., -1., -1., 0./
data dir3h(2,:) /-1., 2., -1., 0./
data dir3h(3,:) /-1., -1., 2., 0./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data dir3h(4,:) / 2., -1., -1., 0./
data dir3h(5,:) /-1., 2., -1., 0./
data dir3h(6,:) /-1., -1., 2., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(7,:) /-1., 2., -1., 0./
data dir3h(8,:) /-2., 1., 1., 0./
data dir3h(9,:) /-1., -1., 2., 0./
data dir3h(10,:) / 1., -2., 1., 0./
data dir3h(11,:) / 2., -1., -1., 0./
data dir3h(12,:) / 1., 1., -2., 0./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data dir3h(13,:) /-2., 1., 1., 3./
data dir3h(14,:) /-1., -1., 2., 3./
data dir3h(15,:) /-1., -1., 2., 3./
data dir3h(16,:) / 1., -2., 1., 3./
data dir3h(17,:) / 1., -2., 1., 3./
data dir3h(18,:) / 2., -1., -1., 3./
data dir3h(19,:) / 2., -1., -1., 3./
data dir3h(20,:) / 1., 1., -2., 3./
data dir3h(21,:) / 1., 1., -2., 3./
data dir3h(22,:) /-1., 2., -1., 3./
data dir3h(23,:) /-1., 2., -1., 3./
data dir3h(24,:) /-2., 1., 1., 3./
!
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data dir3h(25,:) /-1., -1., 2., 3./
data dir3h(26,:) / 1., -2., 1., 3./
data dir3h(27,:) / 2., -1., -1., 3./
data dir3h(28,:) / 1., 1., -2., 3./
data dir3h(29,:) /-1., 2., -1., 3./
data dir3h(30,:) /-2., 1., 1., 3./
!
!
! HCP slip plane normals
real(8), public :: nor3h(30,4)
! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio)
data nor3h(1,:) /0., 0., 0., 1./
data nor3h(2,:) /0., 0., 0., 1./
data nor3h(3,:) /0., 0., 0., 1./
! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio)
data nor3h(4,:) /0., 1., -1., 0./
data nor3h(5,:) /-1., 0., 1., 0./
data nor3h(6,:) /1., -1., 0., 0./
! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(7,:) /1., 0., -1., 1./
data nor3h(8,:) /0., 1., -1., 1./
data nor3h(9,:) /-1., 1., 0., 1./
data nor3h(10,:) /-1., 0., 1., 1./
data nor3h(11,:) /0., -1., 1., 1./
data nor3h(12,:) /1., -1., 0., 1./
! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio)
data nor3h(13,:) /1., 0., -1., 1./
data nor3h(14,:) /1., 0., -1., 1./
data nor3h(15,:) /0., 1., -1., 1./
data nor3h(16,:) /0., 1., -1., 1./
data nor3h(17,:) /-1., 1., 0., 1./
data nor3h(18,:) /-1., 1., 0., 1./
data nor3h(19,:) /-1., 0., 1., 1./
data nor3h(20,:) /-1., 0., 1., 1./
data nor3h(21,:) /0., -1., 1., 1./
data nor3h(22,:) /0., -1., 1., 1./
data nor3h(23,:) /1., -1., 0., 1./
data nor3h(24,:) /1., -1., 0., 1./
! <11.3>{-1-1.2} / 2nd order pyramidal systems
data nor3h(25,:) /1., 1., -2., 2./
data nor3h(26,:) /-1., 2., -1., 2./
data nor3h(27,:) /-2., 1., 1., 2./
data nor3h(28,:) /-1., -1., 2., 2./
data nor3h(29,:) /1., -2., 1., 2./
data nor3h(30,:) /2., -1., -1., 2./
!
!
! Slip direction for alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: dir4(8,3)
data dir4(1,:) /1.0, 0.0, 0.0/
data dir4(2,:) /1.0, 0.0, 0.0/
data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data dir4(4,:) /0.43731, 0.89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
! Slip plane normals of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
real(8), public :: nor4(8,3)
data nor4(1,:) /0.0, 1.0, 0.0/
data nor4(2,:) /0.0, 0.0, 1.0/
data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0)
data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0)
data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2)
data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2)
data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
!
!
!
!
! -------------------------------------------------------------------------------
!
end module globalvariables
================================================
FILE: OXFORD-UMAT v3.3/hardening.f
================================================
! Oct. 03rd, 2022
! Eralp Demir
!
module hardening
implicit none
contains
! Since crss is computed considering the phase
! Hardening shall evolve the proper state variables
!
!
! ********************************************
! ** HARDENING updates the state variables **
! ** that determine mechanical hardening **
! ********************************************
subroutine hardeningrules(iphase,nslip,
+ temperature,dt,G12,burgerv,
+ totgammasum,gammadot,pdot,
+ irradiationmodel,irradiationparam,
+ hardeningmodel,hardeningparam,
+ hintmat1,hintmat2,tauc,ssd,
+ loop,rhofor,rhotot,
+ rhosub,tausolute,
+ dtauc,drhotot,drhofor,
+ drhosub, dssd, dloop)
use globalvariables, only : KB
use userinputs, only: maxnparam, maxnloop
implicit none
!
! INPUTS
! crystal type
integer,intent(in) :: iphase
!
! number of slip systems
integer,intent(in) :: nslip
!
! current temperature
real(8),intent(in) :: temperature
!
! time increment
real(8),intent(in) :: dt
!
! shear modulus
real(8),intent(in) :: G12
!
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
!
!
! cumulative crystallographic slip at the current tiemstep
! needed for model with irradiation
real(8),intent(in) :: totgammasum
!
! plastic shear rate on slip systems
! and absolute value
real(8),intent(in) :: gammadot(nslip)
!
! Von-mises equivalent plastic strain rate
real(8),intent(in) :: pdot
!
! irradiation effect
integer,intent(in) :: irradiationmodel
!
! irradiation model parameters
real(8),intent(in) :: irradiationparam(maxnparam)
!
! hardening model
integer,intent(in) :: hardeningmodel
!
! hardening parameters
real(8),intent(in) :: hardeningparam(maxnparam)
!
! Hardening interaction matrices
! Latent hardening
real(8), intent(in) :: hintmat1(nslip,nslip)
! Hardening interaction matrix between dislocations
real(8), intent(in) :: hintmat2(nslip,nslip)
!
! crss
real(8),intent(in) :: tauc(nslip)
!
! ssd density
real(8),intent(in) :: ssd(nslip)
!
! loop density
real(8),intent(in) :: loop(maxnloop)
!
! forest density
real(8),intent(in) :: rhofor(nslip)
!
! total density
real(8),intent(in) :: rhotot(nslip)
!
! substructure density
real(8),intent(in) :: rhosub
!
!
!
! OUTPUTS
! increase in tauc due to solute force
real(8),intent(out) :: tausolute
!
! crss increment
real(8),intent(out) :: dtauc(nslip)
!
!
!
!
! total ssd density increment
real(8),intent(out) :: drhotot
!
! forest dislocation density increment
real(8),intent(out) :: drhofor(nslip)
!
! substructure dislocation density increment
real(8),intent(out) :: drhosub
!
! ssd density increment
real(8),intent(out) :: dssd(nslip)
!
! loop density increment
real(8),intent(out) :: dloop(maxnloop)
!
!
!
!
!
!
! Variables used within this subroutine
! absolute value of the plastic shear rate on slip systems
real(8), dimension(nslip) :: absgammadot
! Parameters for irradiation hardening
real(8) :: taus0, gammasat, gamma
! Parameters for irradiation model = 2
integer :: nloop
! Parameters for Voce typ hardening model
real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip)
! Parameter for linear hardening model
real(8) :: k
! Parameters for Kocks-Mecking hardening model
real(8) :: k1, b, X, g, D, pdot0, k2, KBT
! Parameters for hardening model - 5 (KM)
real(8) :: q1, q2, tot
! Additional parameters for substructure hardening
real(8) :: f
!
! Parameters hardening model for CuCrZr
real(8) :: Pm, alpham, gf
!
integer :: is, js, i, j
integer :: il
!
!
! Set outputs zero initially
dtauc = 0.
dssd = 0.
drhofor = 0.
drhosub = 0.
drhotot = 0.
tausolute = 0.
dloop = 0.
!
!
!
! absolute value of slip rates
absgammadot = dabs(gammadot)
!
!
!
! Irradiation hardening
! =========================================================================
!
!
! update solute force
if (irradiationmodel == 1) then
!
! Prefactor in irradiation hardening
taus0 = irradiationparam(1)
!
! Saturation strain
gammasat = irradiationparam(2)
!
! Solute strength
tausolute = taus0*dexp(-totgammasum/gammasat)
!
end if
!
!
!
! update loop density
if (irradiationmodel == 2) then
!
! Number of type of the loop defects
nloop = int(irradiationparam(1))
!
! Compute the evolution (annihiliation)
do il = 1, nloop
!
!
do is = 1, nslip
!
dloop(il) = dloop(il) - hintmat2(il,is) *
+ sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt
!
!
!
!
!
end do
!
!
end do
!
!
!
end if
!
!
!
! =========================================================================
!
!
!
! Other strainhardening models
! No hardening
if (hardeningmodel==0) then
!
! Do not harden!
!
!
elseif (hardeningmodel==1) then
!
! read in the parameters
h0 = hardeningparam(1)
ss = hardeningparam(2)
m = hardeningparam(3)
q = hardeningparam(4)
!
!
!
! Construct the latent hardening matrix
! Note that this is a matrix different than latent hardening
Hab = hintmat1
!
hb=0.
do is = 1,nslip
!
hb(is) = h0*(1.-tauc(is)/ss)**m*
+ absgammadot(is)*dt
!
!
!
!
!
end do
!
dtauc = matmul(Hab,hb)
!
!
! linear hardening model
elseif (hardeningmodel==2) then
!
! read in the parameters
k = hardeningparam(1)
!
!
! total density
drhotot = k*pdot*dt
!
! SSD evolution
do is = 1, nslip
!
dssd(is) = k*absgammadot(is)*dt
!
end do
!
!
!
! Kocks-Mecking hardening
elseif (hardeningmodel==3) then
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
!
!
! Multiplied with 10^12 for unit conversion
! 1 Joule = 1 N*m = 10^12 MPa*micrometer
! Correction by Louis and Rui as Github contributors
KBT = KB*temperature*1.d+12
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
!
dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
!
end do
!
drhotot = sum(dssd)
!
! Kocks-Mecking hardening with substructure evolution
! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!
elseif (hardeningmodel==4) then
!
!
!
!
!
!
!
!
!
!
! for alpha-uranium material parameters are built in
if (iphase == 4) then
!
!
!
! forest dislocations evolution
! using constants from calibration of tensile bar 3
! using twin-slip interaction model
drhofor(1) = 43.2*max(dsqrt(rhofor(1))-
+ (0.17100+2.6093e-03*temperature)
+ *rhofor(1),0.0)*absgammadot(1)*dt
drhofor(2) = 6320.0*max(dsqrt(rhofor(2))-
+ (0.25650+5.8708e-04*temperature)
+ *rhofor(2),0.0)*absgammadot(2)*dt
drhofor(3) = 0.24*max(dsqrt(rhofor(3))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(3),0.0)*absgammadot(3)*dt
drhofor(4) = 0.24*max(dsqrt(rhofor(4))-
+ (0.11718+1.9289e-04*temperature)
+ *rhofor(4),0.0)*absgammadot(4)*dt
drhofor(5) = 800.0*max(dsqrt(rhofor(5))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(5),0.0)*absgammadot(5)*dt
drhofor(6) = 800.0*max(dsqrt(rhofor(6))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(6),0.0)*absgammadot(6)*dt
drhofor(7) = 800.0*max(dsqrt(rhofor(7))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(7),0.0)*absgammadot(7)*dt
drhofor(8) = 800.0*max(dsqrt(rhofor(8))-
+ (0.12+1.5e-05*temperature)
+ *rhofor(8),0.0)*absgammadot(8)*dt
!
! substructure dislocations evolution
drhosub = 0.216*(17.545+0.26771*temperature)*
+ rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt
!
! If any other material
else
!
!
! input parameters
k1 = hardeningparam(1)
X = hardeningparam(3)
g = hardeningparam(4)
D = hardeningparam(5)
pdot0 = hardeningparam(6)
q = hardeningparam(7)
f = hardeningparam(8)
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
! Parametrically calculate softening factor
if (hardeningparam(2)==0.) then
k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0))
else
k2 = hardeningparam(2)
end if
!
drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is))
+ *absgammadot(is)*dt
!
drhosub = drhosub + b*q*f*dsqrt(rhosub)*
+ k2*rhofor(is)*absgammadot(is)*dt
!
!
end do
!
!
!
!
!
end if
!
! UKAEA - model
! Vikram Phalke
! Kocks-Mecking hardening - based on total density
elseif (hardeningmodel==5) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
q1 = hardeningparam(3)
q2 = hardeningparam(4)
!
!
! interaction matrix
Hab = hintmat1
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
tot = 0.
do js=1,nslip
!
! total density (rhottot) is used to include GND effects
! instead of just SSD density
tot=tot + Hab(is,js)*rhotot(js)
!
end do
!
dssd(is) =
+ (k1/b*dsqrt(tot)-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
! UKAEA - model
! Yunzhou Bai
! Hardening model for EUROFER steel
! Kocks-Mecking hardening - based on martensite lath spacing
elseif (hardeningmodel==6) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
D = hardeningparam(3)
!
!
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
!
!
dssd(is) = (k1/D/b-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
!
! UKAEA - model
! Vikram Phalke
! Kocks-Mecking hardening - rhoforest
elseif (hardeningmodel==7) then
!
! input parameters
k1 = hardeningparam(1)
k2 = hardeningparam(2)
gf = hardeningparam(3)
Pm = hardeningparam(4)
alpham = hardeningparam(5)
!
!
do is = 1,nslip
!
! Burgers vector
b = burgerv(is)
!
dssd(is) =
+ (k1/b*dsqrt(gf**2.*rhofor(is) +
+ alpham**2.*Pm**(2./3.))-k2*ssd(is))*
+ absgammadot(is)*dt
!
!
end do
!
drhotot = sum(dssd)
!
!
!
!
!
end if
!
return
!
end subroutine hardeningrules
!
!
!
!
!
end module hardening
================================================
FILE: OXFORD-UMAT v3.3/initializations.f
================================================
! Sept. 26th, 2022
! Eralp Demir
!
! This module includes initialization scripts
!
module initializations
implicit none
contains
!
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_once
use globalvariables, only: randnum
use meshprop, only : feprop
use useroutputs, only: defineoutputs
implicit none
!
!
!
!
! 1. Enter mesh/element properties
! to get number of integration points for array allocation
call feprop
write(*,*) '1. Mesh initialization completed!'
!
! 2. Allocate arrays
call allocate_arrays
write(*,*) '2. Array allocation completed!'
!
! 3. Initialize identity matrices
call initialize_identity
write(*,*) '3. Identity tensors initialized!'
!
! 4. Define outputs
! Based on the flag: "readfromprops = 0 / 1"
! Will be either read from PROPS or from useroutputs.f
call defineoutputs
write(*,*) '4. Outputs are defined using useroutputs.f!'
!
!
! 5. Read the input files if needed
call readfiles
write(*,*) '5. The necessary files were read!'
!
! 6. Generate a random number
call random_number(randnum)
write(*,*) '6. A random number is generated!'
!
return
end subroutine initialize_once
!
!
!
!
! Subroutine to initialize global flags
subroutine initialize_variables
use userinputs, only: maxnumel, maxnumpt
use globalvariables, only : time_old,
+ dt_t, calculategradient, numpt, numel,
+ ip_count, init_once, grad_init
!
! Use this instead of data statements
time_old=0.
dt_t=0.
!
calculategradient=1
grad_init=0
!
! Maximum number of elements and maximum number of integration points
! are defined in userinputs.f
allocate(ip_count(maxnumel,maxnumpt))
ip_count=-1
!
! Element number will be counted
numpt=0
numel=0
!
! flag for initialization once at the beginning
init_once=0
!
return
end subroutine initialize_variables
!
!
!
!
!
! Reading additional input files
subroutine readfiles
use userinputs, only:
+ voxfilename, foldername, readmaterialfile,
+ rsfilename, readresidualstrainfile
use globalvariables, only: numel, numpt,
+ Euler, statev_Fr
use utilities, only: vecmat9, inv3x3
integer :: i, iele, iquad
real(8) :: dummy(8), dum1, dum2, det
real(8) :: Fe0_vec(9), Fe0(3,3), Fr(3,3), detFr
!
!
! Read vox file if requested
if (readmaterialfile==1) then
! Open the file
open(200,file=foldername // '/' // voxfilename,action='read',
+ status='old')
!
!
! Number of lines is the same as the number of elements
do iele=1,numel
!
dummy=0.
read(200,*) dummy(1:8)
!
! Bunge angles in degrees
Euler(iele,1) = dummy(1)
Euler(iele,2) = dummy(2)
Euler(iele,3) = dummy(3)
!
! Test write
if (i==1) then
write(*,*) 'Testing reading of Job-1.vox file'
write(*,*) 'iele', i
write(*,*) 'Bunge (deg)', Euler(i,:)
end if
!
!
end do
!
! End of reading vox file
close(200)
!
end if
!
!
!
!
! Read residual strains
if (readresidualstrainfile==1) then
!
! Open the file
open(300,file=foldername // '/' // rsfilename,action='read',
+ status='old')
!
! total number of lines =
! number of elements x number of integtration points
do i=1,numel*numpt
!
! dummy first read - Euler angles
read(300,*) dum1, dum2, Fe0_vec(1:9)
iele = int(dum1)
iquad = int(dum2)
!
! calculate 3x3 deformation gradient
call vecmat9(Fe0_vec,Fe0)
!
!! invert to get the residual deformation
! call inv3x3(Fe0,Fr,detFr)
!
! Test write
if (i==1) then
write(*,*) 'Testing reading of resdef.dat file'
write(*,*) 'iele', iele
write(*,*) 'iquad', iquad
write(*,*) 'Fe0_vec', Fe0_vec
end if
!
statev_Fr(iele,iquad,:,:)=Fe0
!
end do
!
! End of residual strain file
close(300)
!
end if
!
!
! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!!
!
!
return
end subroutine readfiles
!
!
!
! Subroutines that need to run once at the beginning of calculations
subroutine initialize_atfirstinc(noel,npt,coords,nprops,
+ props,temp,nstatv,ntens,stress)
use userinputs, only: constanttemperature, temperature,
+ maxnslip, maxnparam, maxnmaterial, maxnloop,
+ backstressmodel, readmaterialfile
use globalvariables, only: Euler, materialid,
+ featureid, phaseid, ipcoords, numdim,
+ statev_gmatinv, statev_gmatinv_t, ip_init,
+ numslip_all, numscrew_all, phaseid_all,
+ statev_tauc, statev_tauc_t, statev_gmatinv_0,
+ dirc_0_all, norc_0_all,
+ trac_0_all, linc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ statev_ssd, statev_ssd_t,
+ statev_ssdtot, statev_ssdtot_t,
+ statev_forest, statev_forest_t,
+ statev_substructure, statev_substructure_t,
+ statev_tausolute, statev_tausolute_t,
+ statev_loop, statev_loop_t,
+ statev_tauceff, statev_gnd_0,
+ statev_sigma, statev_sigma_t,
+ caratio_all, cubicslip_all,
+ Cc_all, gf_all, G12_all, v12_all,
+ alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all
!
use irradiation, only: calculateintmats4irradmodel2
use usermaterials, only: materialparam
use utilities, only: rotord4sig
use crss, only: slipresistance, totalandforest
use useroutputs, only: checkoutputs,
+ statev_outputs, nstatv_outputs
use errors, only: error
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of properties
integer, intent(in) :: nprops
! Ip coordinates
real(8), intent(in) :: coords(3)
! State variables
real(8), intent(in) :: props(nprops)
! Abaqus temperature
real(8), intent(in) :: temp
! Number of state variables
integer, intent(in) :: nstatv
! Dimension of stress vector
integer, intent(in) :: ntens
! Stress tensor
real(8), intent(in) :: stress(ntens)
!
! Internal variables
! Flag for reading from PROPS vector
integer readfromprops
! Crystal to sample transformation matrix
real(8) :: gmatinv(3,3)
! Phase id
integer :: phaid
! Number of slip systems
integer :: nslip
! Number of screw systems
integer :: nscrew
! Material id
integer :: matid
! Slip model
integer :: slipmodel
! Slip parameters
real(8) :: slipparam(maxnparam)
! Creep model
integer :: creepmodel
! Creep parameters
real(8) :: creepparam(maxnparam)
! Hardening model
integer :: hardeningmodel
! Hardening parameters
real(8) :: hardeningparam(maxnparam)
! Irradiation model
integer :: irradiationmodel
! Irradiation parameters
real(8) :: irradiationparam(maxnparam)
! Backstress parameters
real(8) :: backstressparam(maxnparam)
! Cubic slip for fcc nickel superalloys only
integer :: cubicslip
! Material temperature
real(8) :: mattemp
! c/a ratio for hexagonal materials
real(8) :: caratio
! Crystal elasticity matrix
real(8) :: Cc(6,6)
! Geometric factor
real(8) :: gf
! Shear modulus
real(8) :: G12
! Poisson's ratio
real(8) :: v12
! Thermal expansion coefficient matrix in crystal lattice
real(8) :: alphamat(3,3)
! Burgers vector
real(8) :: burgerv(maxnslip)
! Screw systems
integer :: screw(maxnslip)
! Initial critical resolved shear stress
real(8) :: tauc_0(maxnslip)
! Initial dislocation density (SSD)
real(8) :: rho_0(maxnslip)
! Sum of the initial density (SSD)
real(8) :: rhosum_0
! Initial forest density (hardening model-4)
real(8) :: forest_0, for_0(maxnslip)
! Initial substructure density (hardening model-4)
real(8) :: substructure_0
! Interaction matrices
! Strength interaction between dislocations
real(8) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8) :: hintmat2(maxnslip,maxnslip)
! Allocatable arrays
! Slip direction
real(8) :: dirc(maxnslip,3)
! Slip plane normal
real(8) :: norc(maxnslip,3)
! Transverse direction
real(8) :: trac(maxnslip,3)
! Slip line direction
real(8) :: linc(maxnslip*2,3)
! Forest projection operator
real(8) :: forestproj(maxnslip,maxnslip*2)
! Slip to screw system mapping
real(8) :: slip2screw(maxnslip,maxnslip)
! initial Schmid tensor
real(8) :: Schmidc_0(maxnslip,3,3)
! initial loop density
real(8) :: loop_0(maxnloop)
! initial solute strength
real(8) :: tausolute_0
! initial GND density
real(8) :: gnd_0(2*maxnslip)
! overall forest density
real(8) :: rhofor_0(maxnslip)
! overall total density
real(8) :: rhotot_0(maxnslip)
! overall cumulative density - scalar
real(8) :: sumrhotot_0
! Effective CRSS
real(8) :: tauceff_0(maxnslip)
! Variables used in the calculations here within this subroutine
! Elasiticity
real(8) :: C11, C12, C44, C13, C33
real(8) :: C23, C22, C55, C66
! Thermal expansion
real(8) :: alpha1, alpha2, alpha3
!
! Dummy variables
integer :: i, j, k, ind, is, nloop, dum
integer :: i0, i1, i2
real(8) :: dir(3), nor(3)
!
!
! Reset arrays
burgerv=0.; tauc_0=0.;
rho_0=0.; forest_0=0.;
substructure_0=0.; for_0=0.
sintmat1=0.; sintmat2=0.
hintmat1=0.; hintmat2=0.
dirc=0.; norc=0.; trac=0.; linc=0.
Schmidc_0=0.
forestproj=0.; slip2screw=0.; screw=0
slipparam=0.;creepparam=0.
hardeningparam=0.; irradiationparam=0.
backstressparam = 0.
!
loop_0=0.; tausolute_0=0.
rhofor_0=0.; rhotot_0=0.
sumrhotot_0=0.; gnd_0=0.
tauceff_0=0.
!
!
!
! Calculation for only once (require NSTATV)
! This is done here because NSTATV is available in UMAT
! Can't be done at UEXTERNALDB(LOP=0)
if (ip_init(1,1) == 0) then
!
! Check the number state variables defined in DEPVAR
! matches the outputs defined by the user (in useroutputs.f or in PROPS)
call checkoutputs(nstatv)
!
end if
!
!
!
!
!
! Initialization flag
ip_init(noel,npt) = 1
!
! Read integration point coordinates
! Assign and store at a global variable
ipcoords(noel,npt,1:numdim) = coords(1:numdim)
!
! Read from PROPS
readfromprops = int(props(6))
!
! Material id
matid = int(props(5))
!
! Save material id
materialid(noel,npt)=matid
!
! Save grain id
featureid(noel,npt) = int(props(4))
!
! Euler angles are read from PROPS
! IF the variable in userinputs.f was set as: "readmaterialfile=0"
! No entry from material file was selected
if (readmaterialfile==0) then
!
! Initialize the ginv from Euler angles
! phi1: 1st on the property list
Euler(noel,1)=props(1)
! Phi: 2nd on the property list
Euler(noel,2)=props(2)
! phi2: 3rd on the property list
Euler(noel,3)=props(3)
!
end if
!
!
!
!
! write(*,*) 'noel', noel
! write(*,*) 'npt', npt
! write(*,*) 'matid', matid
! write(*,*) 'Euler', Euler
!
!
!
!
!
!
! Calculate inverse of the orientation matrix
call initialize_orientations(Euler(noel,1:3),gmatinv)
!
! Assign the initial orientations
statev_gmatinv(noel,npt,:,:)=gmatinv
statev_gmatinv_t(noel,npt,:,:)=gmatinv
statev_gmatinv_0(noel,npt,:,:)=gmatinv
!
!
!
!
!
! Decision on using ABAQUS temperature
if (constanttemperature.eq.1) then
!
!
! Assign
mattemp = temperature
!
else if (constanttemperature.eq.0) then
!
! Use ABAQUS temperature (must be in K)
mattemp = temp
!
!
else
! Temperature flag is not assined correctly
call error(5)
!
endif
!
!
! If the properties are defined at "usermaterials.f"
if (readfromprops==0) then
!
! Enter materials subroutine once for every ip to get number of slip systems
call materialparam(matid,mattemp,
+ phaid,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,forest_0,substructure_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
!
! If material properies are defined in PROPS vector
elseif (readfromprops==1) then
!
! Phase id indicates crystal structure
phaid = int(props(7))
!
! Number of slip systems
nslip = int(props(8))
!
! Number of screw systems
nscrew = int(props(9))
!
! cubic slip flag
cubicslip = int(props(10))
!
! geometric factor
gf = props(11)
!
! Elastic constants
C11 = props(12)
C12 = props(13)
C44 = props(14)
!
! Shear modulus
G12 = C44
!
!
! Poisson's ratio
v12 = C12/(C11+C12)
!
! If cubic material - 3 constants
if (phaid<3) then
!
! Elasticity matrix of a cubic material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C12 /)
Cc(2,1:3) = (/ C12, C11, C12 /)
Cc(3,1:3) = (/ C12, C12, C11 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = C44
!
!
! If hexagonal material - 5 constants
elseif (phaid==3) then
!
! Read the remaning parameters
C13 = props(15)
C33 = props(16)
!
! Elasticity matrix of a hexagonal material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C11, C13 /)
Cc(3,1:3) = (/ C13, C13, C33 /)
Cc(4,4) = C44
Cc(5,5) = C44
Cc(6,6) = 0.5*(C11-C12)
!
! If tetragonal material - 9 constants
elseif (phaid==4) then
!
! Read the remaning parameters
C23 = props(17)
C22 = props(18)
C55 = props(19)
C66 = props(20)
!
! Elasticity matrix of a ot material
Cc = 0.
Cc(1,1:3) = (/ C11, C12, C13 /)
Cc(2,1:3) = (/ C12, C22, C23 /)
Cc(3,1:3) = (/ C13, C23, C33 /)
Cc(4,4) = C44
Cc(5,5) = C55
Cc(6,6) = C66
!
!
!
endif
!
! c/a ratio
caratio = int(props(21))
!
!
! Thermal expansion coefficients
alpha1 = props(22)
alpha2 = props(23)
alpha3 = props(24)
alphamat = 0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
! Starting index for props
i0 = 25
!
!
! Slip model
slipmodel = int(props(i0))
!
! Slip model parameters
do i = 1, maxnparam
!
ind = i + i0
!
slipparam(i) = props(ind)
!
end do
!
! Creep model
creepmodel = int(props(i0+maxnparam+1))
!
! Creep model parameters
do i = 1, maxnparam
!
ind = i + i0 + maxnparam+1
!
creepparam(i) = props(ind)
!
!
end do
!
!
! Hardening model
hardeningmodel = int(props(i0+2*(maxnparam+1)))
!
! Hardening model parameters
do i = 1, maxnparam
!
ind = i + i0+2*(maxnparam+1)
!
hardeningparam(i) = props(ind)
!
end do
!
!
! They are undefined for now - set to identity
! Interaction matrices
! Initially set all to identity
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
! Define hardening matrix here based on the model!
! Hardening model-1
if (hardeningmodel==1) then
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
end if
!
!
! Irradiation model
irradiationmodel = int(props(i0+3*(maxnparam+1)))
!
!
! Irradiation model parameters
do i = 1, maxnparam
!
ind = i + i0+3*(maxnparam+1)
!
irradiationparam(i) = props(ind)
!
end do
!
!
! Backstress parameters
if (backstressmodel==1) then
!
backstressparam(1) = props(ind+1)
backstressparam(2) = props(ind+2)
!
end if
!
!
!
!
!
!
! Overwrite user-defined outputs in useroutputs.f
! Reset number of state variables
nstatv_outputs = 0
! Reset the flags for outputs
statev_outputs = 0
!
! Reset starting index
i1 = i0 + 5*maxnparam + 3
do i = 1, 30
!
ind = i + i1
!
dum = int(PROPS(ind))
!
statev_outputs(i) = dum
!
! Count the total number of outputs
if (dum ==1) then
nstatv_outputs = nstatv_outputs + 1
end if
!
end do
!
!
!
! Assign slip system quantities
! Reset starting index
i2 = i1 + 30
!
! Initial dislocation density
rho_0=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then !hcp
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
!
rho_0(is) = props(ind)
!
end do
!
i2 = i2 + 6
!
! Burgers vector
burgerv=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
burgerv(is) = props(ind)
!
end do
!
i2 = i2 + 6
!
! Initial critical resolved shear strength
tauc_0=0.
do is = 1, maxnslip
!
if (phaid.eq.1) then !bcc
if (is.le.12) then
ind = i2 + 1
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 2
elseif (is.gt.24) then
ind = i2 + 3
end if
elseif (phaid.eq.2) then !fcc
if (is.le.12) then
ind = i2 + 1
elseif (is.gt.12) then
ind = i2 + 2
end if
elseif (phaid.eq.3) then
if (is.le.3) then
ind = i2 + 1
elseif ((is.gt.3).and.(is.le.6)) then
ind = i2 + 2
elseif ((is.gt.6).and.(is.le.12)) then
ind = i2 + 3
elseif ((is.gt.12).and.(is.le.24)) then
ind = i2 + 4
elseif (is.gt.24) then
ind = i2 + 5
end if
end if
!
tauc_0(is) = props(ind)
!
end do
!
! Initial forest dislocation density (hardening model-4)
forest_0 = props(147)
!
! Initial substructure dislocation density (hardening model-4)
substructure_0 = props(148)
!
!
! PROPS(149-175) are intentionally left empty!
!
!
endif
!
!
!
! Initialize phase-id of the material
phaseid_all(matid)=phaid
!
!
! Initialize number of slip systems
numslip_all(matid)=nslip
!
! Initialize number of screw systems
! Required for GND calculations
numscrew_all(matid)=nscrew
!
!
! Initialize crss
statev_tauc(noel,npt,1:maxnslip)=tauc_0
statev_tauc_t(noel,npt,1:maxnslip)=tauc_0
!
! Initialize ssd density per slip system
statev_ssd(noel,npt,1:maxnslip)=rho_0
statev_ssd_t(noel,npt,1:maxnslip)=rho_0
!
! Initialize total ssd density
rhosum_0=sum(rho_0(1:nslip))
statev_ssdtot(noel,npt)=rhosum_0
statev_ssdtot_t(noel,npt)=rhosum_0
! Initialize forest density per slip system
for_0(1:nslip)=forest_0
statev_forest(noel,npt,1:maxnslip)=for_0
statev_forest_t(noel,npt,1:maxnslip)=for_0
!
! Initialize total ssd density
statev_substructure(noel,npt)=substructure_0
statev_substructure_t(noel,npt)=substructure_0
!
!
!
!
! Initialize irradiation parameters
if (irradiationmodel==1) then
! Initialize solute strength
tausolute_0=irradiationparam(1)
statev_tausolute(noel,npt)=tausolute_0
statev_tausolute_t(noel,npt)=tausolute_0
!
!
elseif (irradiationmodel==2) then
! Initialize defect loop density
nloop=int(irradiationparam(1))
do i = 1, nloop
loop_0(i)=irradiationparam(1+i)*
+ irradiationparam(1+nloop+i)
statev_loop(noel,npt,i)=loop_0(i)
statev_loop_t(noel,npt,i)=loop_0(i)
end do
!
end if
!
!
! Initialize caratio
caratio_all(matid)=caratio
!
!
! Initialize cubicslip
cubicslip_all(matid)=cubicslip
!
! Initialize elasticity in crystal frame
Cc_all(matid,1:6,1:6)=Cc
!
! Initialize geometric factor
gf_all(matid)=gf
!
! Initialize shear modulus
G12_all(matid)=G12
! Initialize Poisson's ratio
v12_all(matid)=v12
!
! Initialize thermal expansion matrix
alphamat_all(matid,1:3,1:3)=alphamat
!
! Initialize burgers vector
burgerv_all(matid,1:maxnslip)=burgerv
!
!
!
! assign the global variables
!
! slip model
slipmodel_all(matid)=slipmodel
! slip parameters
slipparam_all(matid,:)=slipparam
! creep model
creepmodel_all(matid)=creepmodel
! creep parameters
creepparam_all(matid,:)=creepparam
! hardening model
hardeningmodel_all(matid)=hardeningmodel
! hardening parameters
hardeningparam_all(matid,:)=hardeningparam
! irradiation model
irradiationmodel_all(matid)=irradiationmodel
! irradiation parameters
irradiationparam_all(matid,:)=irradiationparam
!
!
! backstress parameters
backstressparam_all(matid,:)=backstressparam
!
! Initialize initial (undeformed) slip vectors
! This is needed once per element since the material is different
call initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3),
+ trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3),
+ forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip))
!
!
! Irradiation strength and hardening matrices are a function of slip vectors
! Therefore, the interaction matrices need to be computed here,
! after the calculation of slip vectors
if (irradiationmodel==2) then
call calculateintmats4irradmodel2(nslip,dirc,norc,
+ irradiationparam,sintmat2,hintmat2)
end if
!
!
! assign the interaction matrices
! Strength interaction between dislocations
sintmat1_all(matid,:,:) = sintmat1
! Strength interaction dislocation loops related with irradiation
sintmat2_all(matid,:,:) = sintmat2
! Latent hardening
hintmat1_all(matid,:,:) = hintmat1
! Hardening interaction matrix between dislocations
hintmat2_all(matid,:,:) = hintmat2
!
!
!
!
!
!
! assign undeformed slip directions
dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3)
norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3)
trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3)
linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3)
!
! Forest projection operator
forestproj_all(matid,1:nslip,1:nslip+nscrew) =
+ forestproj(1:nslip,1:nslip+nscrew)
!
!
! Slip to screw mapping
slip2screw_all(matid,1:nscrew,1:nslip) =
+ slip2screw(1:nscrew,1:nslip)
!
!
! Screw systems
screw_all(matid,1:nscrew)=screw(1:nscrew)
!
!
!
! Initial GND density (may or may not be present!)
gnd_0=statev_gnd_0(noel,npt,:)
!
! Calculate initial total and forest density
call totalandforest(
+ phaid, nscrew, nslip,
+ gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0,
+ for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew),
+ slip2screw(1:nscrew,1:nslip),
+ rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip))
!
!
!
! Calculate crss
call slipresistance(phaid, nslip, gf, G12,
+ burgerv(1:nslip), sintmat1(1:nslip,1:nslip),
+ sintmat2(1:nslip,1:nslip), tauc_0(1:nslip),
+ rhotot_0, sumrhotot_0, rhofor_0(1:nslip),
+ substructure_0, tausolute_0, loop_0(1:maxnloop),
+ hardeningmodel, hardeningparam,
+ irradiationmodel, irradiationparam,
+ mattemp, tauceff_0(1:nslip))
!
!
statev_tauceff(noel,npt,1:maxnslip)=tauceff_0
!
! initialize stress
! 3D
if (ntens==6) then
statev_sigma(noel,npt,1:6)=stress
! 2D-plane strain
elseif (ntens==4) then
statev_sigma(noel,npt,1:4)=stress
! 2D-plane stress
elseif (ntens==3) then
statev_sigma(noel,npt,1:2)=stress(1:2)
statev_sigma(noel,npt,4)=stress(3)
end if
!
!
!
!
return
end subroutine initialize_atfirstinc
!
!
!
! Arrays allocated
subroutine allocate_arrays
use globalvariables, only : numel, numpt, numdim,
+ Euler, materialid, featureid, phaseid,
+ phaseid_all, numslip_all, numscrew_all,
+ dirc_0_all, norc_0_all, trac_0_all, linc_0_all,
+ forestproj_all, slip2screw_all, screw_all,
+ ip_init, gradip2ip, ipcoords, ipdomain,
+ statev_sigma_t2, statev_gmatinv, statev_gmatinv_t,
+ statev_gmatinv_0, statev_gammasum, statev_gammasum_t,
+ statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t,
+ statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t,
+ statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t,
+ statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t,
+ statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t,
+ statev_forest, statev_forest_t, statev_substructure,
+ statev_substructure_t, statev_tausolute, statev_tausolute_t,
+ statev_totgammasum, statev_totgammasum_t,
+ statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t,
+ statev_Lambda, statev_Lambda_t, statev_curvature,
+ statev_loop, statev_loop_t, statev_gnd_0,
+ caratio_all, cubicslip_all, Cc_all, gf_all,
+ G12_all, v12_all, alphamat_all, burgerv_all,
+ slipmodel_all, slipparam_all,
+ creepmodel_all, creepparam_all,
+ hardeningmodel_all, hardeningparam_all,
+ irradiationmodel_all, irradiationparam_all,
+ sintmat1_all, sintmat2_all,
+ hintmat1_all, hintmat2_all,
+ backstressparam_all, statev_backstress_t,
+ statev_backstress, statev_plasdiss_t,
+ statev_theta, statev_theta_t, randnum,
+ statev_plasdiss, statev_tauceff, statev_Fr,
+ numneigh, eleneigh, iptneigh, facneigh
!
use userinputs, only : maxnslip, maxnparam,
+ maxnmaterial, maxnloop, maxneigh
implicit none
integer i, j, k
!
!
! Can be different for each element
allocate(Euler(numel,3))
Euler=0.
!
! For multiple grains
allocate(featureid(numel,numpt))
featureid=0
!
! For multi materials
allocate(materialid(numel,numpt))
materialid=0
!
! For multi phases
allocate(phaseid(numel,numpt))
phaseid=0
!
! Initial crystal to sample transformation
!
! For multi material case with varying number of slip systems
allocate(numslip_all(maxnmaterial))
numslip_all=0
!
! For multi material case with varying number of screw systems
allocate(numscrew_all(maxnmaterial))
numscrew_all=0
!
! Screw systems
allocate(screw_all(maxnmaterial,maxnslip))
screw_all=0
!
!
! For multi material case with varying number of slip systems
allocate(phaseid_all(maxnmaterial))
phaseid_all=0
phaseid_all=0
!
! Allocate slip systems
allocate(dirc_0_all(maxnmaterial,maxnslip,3))
dirc_0_all=0.
allocate(norc_0_all(maxnmaterial,maxnslip,3))
norc_0_all=0.
allocate(trac_0_all(maxnmaterial,maxnslip,3))
trac_0_all=0.
allocate(linc_0_all(maxnmaterial,2*maxnslip,3))
linc_0_all=0.
!
! Forest projections for GND
allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2))
forestproj_all=0.
!
! Mapping for dislocations at slip sytems to screw systems for GND
allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip))
slip2screw_all=0.
!
! IP domain size (area/volume)
allocate(ipdomain(numel,numpt))
ipdomain=0.
!
!
! These are needed for GND calculations
allocate(ipcoords(numel,numpt,numdim))
ipcoords=0.
allocate(ip_init(numel,numpt))
ip_init=0 ! very important to set to zero initially
!
! Allocate arrays related with shape functions
! Note the gradient is 3-dimensional ("numdim" is not used!)
allocate(gradip2ip(numel,numpt+1,3,numpt))
gradip2ip=0.
!
! Random number for each slip system
allocate(randnum(maxnslip))
!
! Allocate state variables
allocate(statev_gmatinv(numel,numpt,3,3))
statev_gmatinv=0.
allocate(statev_gmatinv_t(numel,numpt,3,3))
statev_gmatinv_t=0.
allocate(statev_gmatinv_0(numel,numpt,3,3))
statev_gmatinv_0=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_gmatinv(i,j,k,k)=1.
statev_gmatinv_t(i,j,k,k)=1.
statev_gmatinv_0(i,j,k,k)=1.
end do
end do
end do
!
allocate(statev_gammasum(numel,numpt,maxnslip))
statev_gammasum=0.
allocate(statev_gammasum_t(numel,numpt,maxnslip))
statev_gammasum_t=0.
allocate(statev_gammadot(numel,numpt,maxnslip))
statev_gammadot=0.
allocate(statev_gammadot_t(numel,numpt,maxnslip))
statev_gammadot_t=0.
allocate(statev_Fp(numel,numpt,3,3))
statev_Fp=0.
allocate(statev_Fp_t(numel,numpt,3,3))
statev_Fp_t=0.
allocate(statev_Fth(numel,numpt,3,3))
statev_Fth=0.
allocate(statev_Fth_t(numel,numpt,3,3))
statev_Fth_t=0.
allocate(statev_Fr(numel,numpt,3,3))
statev_Fr=0.
!
do i=1,numel
do j=1,numpt
do k=1,3
statev_Fp(i,j,k,k)=1.
statev_Fp_t(i,j,k,k)=1.
statev_Fth(i,j,k,k)=1.
statev_Fth_t(i,j,k,k)=1.
statev_Fr(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_sigma(numel,numpt,6))
statev_sigma=0.
allocate(statev_sigma_t(numel,numpt,6))
statev_sigma_t=0.
allocate(statev_sigma_t2(numel,numpt,6))
statev_sigma_t2=0.
allocate(statev_jacobi(numel,numpt,6,6))
statev_jacobi=0.
allocate(statev_jacobi_t(numel,numpt,6,6))
statev_jacobi_t=0.
!
do i=1,numel
do j=1,numpt
do k=1,6
statev_jacobi(i,j,k,k)=1.
statev_jacobi_t(i,j,k,k)=1.
end do
end do
enddo
!
allocate(statev_tauc(numel,numpt,maxnslip))
statev_tauc=0.
allocate(statev_tauc_t(numel,numpt,maxnslip))
statev_tauc_t=0.
!
allocate(statev_tauceff(numel,numpt,maxnslip))
statev_tauceff=0.
!
allocate(statev_maxx(numel,numpt))
statev_maxx=0.
allocate(statev_maxx_t(numel,numpt))
statev_maxx_t=0.
allocate(statev_Eec(numel,numpt,6))
statev_Eec=0.
allocate(statev_Eec_t(numel,numpt,6))
statev_Eec_t=0.
!
! Incompatibility
allocate(statev_Lambda(numel,numpt,9))
statev_Lambda = 0.
allocate(statev_Lambda_t(numel,numpt,9))
statev_Lambda_t = 0.
! Lattice curvature
allocate(statev_curvature(numel,numpt,9))
statev_curvature = 0.
!
! Allocated as twice the maxslip to leave space for screws
allocate(statev_gnd(numel,numpt,2*maxnslip))
statev_gnd=0.
allocate(statev_gnd_t(numel,numpt,2*maxnslip))
statev_gnd_t=0.
allocate(statev_gnd_0(numel,numpt,2*maxnslip))
statev_gnd_0=0.
allocate(statev_ssd(numel,numpt,maxnslip))
statev_ssd=0.
allocate(statev_ssd_t(numel,numpt,maxnslip))
statev_ssd_t=0.
allocate(statev_ssdtot(numel,numpt))
statev_ssdtot=0.
allocate(statev_ssdtot_t(numel,numpt))
statev_ssdtot_t=0.
allocate(statev_forest(numel,numpt,maxnslip))
statev_forest=0.
allocate(statev_forest_t(numel,numpt,maxnslip))
statev_forest_t=0.
allocate(statev_substructure(numel,numpt))
statev_substructure=0.
allocate(statev_substructure_t(numel,numpt))
statev_substructure_t=0.
allocate(statev_tausolute(numel,numpt))
statev_tausolute=0.
allocate(statev_tausolute_t(numel,numpt))
statev_tausolute_t=0.
allocate(statev_totgammasum(numel,numpt))
statev_totgammasum=0.
allocate(statev_totgammasum_t(numel,numpt))
statev_totgammasum_t=0.
allocate(statev_evmp(numel,numpt))
statev_evmp=0.
allocate(statev_evmp_t(numel,numpt))
statev_evmp_t=0.
!
allocate(statev_plasdiss(numel,numpt))
statev_plasdiss=0.
allocate(statev_plasdiss_t(numel,numpt))
statev_plasdiss_t=0.
!
allocate(statev_theta(numel,numpt))
statev_theta=0.
allocate(statev_theta_t(numel,numpt))
statev_theta_t=0.
!
! allocate as sparse array
allocate(statev_loop(numel,numpt,maxnloop))
statev_loop=0.
allocate(statev_loop_t(numel,numpt,maxnloop))
statev_loop_t=0.
!
allocate(statev_backstress(numel,numpt,maxnslip))
statev_backstress=0.
allocate(statev_backstress_t(numel,numpt,maxnslip))
statev_backstress_t=0.
!
! Material parameters
allocate(caratio_all(maxnmaterial))
caratio_all=0.
allocate(cubicslip_all(maxnmaterial))
cubicslip_all=0
allocate(Cc_all(maxnmaterial,6,6))
Cc_all=0.
allocate(gf_all(maxnmaterial))
gf_all=0.
allocate(G12_all(maxnmaterial))
G12_all=0.
allocate(v12_all(maxnmaterial))
v12_all=0.
allocate(alphamat_all(maxnmaterial,3,3))
alphamat_all=0.
allocate(burgerv_all(maxnmaterial,maxnslip))
burgerv_all=0.
!
!
! Material model parameters
allocate(slipmodel_all(maxnmaterial))
slipmodel_all=0
allocate(slipparam_all(maxnmaterial,maxnparam))
slipparam_all=0.
allocate(creepmodel_all(maxnmaterial))
creepmodel_all=0
allocate(creepparam_all(maxnmaterial,maxnparam))
creepparam_all=0.
allocate(hardeningmodel_all(maxnmaterial))
hardeningmodel_all=0
allocate(hardeningparam_all(maxnmaterial,maxnparam))
hardeningparam_all=0.
allocate(irradiationmodel_all(maxnmaterial))
irradiationmodel_all=0
allocate(irradiationparam_all(maxnmaterial,maxnparam))
irradiationparam_all=0.
!
allocate(backstressparam_all(maxnmaterial,maxnparam))
backstressparam_all=0.
!
! Interaction matrices
allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip))
sintmat1_all=0.
allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip))
sintmat2_all=0.
allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip))
hintmat1_all=0.
allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip))
hintmat2_all=0.
!
!
allocate(numneigh(numel,numpt))
numneigh=0
allocate(eleneigh(numel,numpt,maxneigh))
eleneigh=0
allocate(iptneigh(numel,numpt,maxneigh))
iptneigh=0
allocate(facneigh(numel,numpt,maxneigh))
facneigh=0.
!
!
return
end subroutine allocate_arrays
!
!
!
!
!
!
!
!
!
!
!
!
! This subroutine assigns identity tensors
! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3)
subroutine initialize_identity
use globalvariables, only : I3, I6, I9, eijk
implicit none
integer :: i, j, k, l
!
I3=0.
I6=0.
I9=0.
!
! Identity matrix (3x3)
do i=1,3
I3(i,i)=1.
enddo
!
!
! Identity matrix (6x6)
do i=1,6
I6(i,i)=1.
enddo
!
! Identity matrix (9x9)
do i=1,9
I9(i,i)=1.
enddo
!
!
! Permutation symbol (3x3x3)
eijk=0.
eijk(1,2,3)=1.
eijk(2,3,1)=1.
eijk(3,1,2)=1.
eijk(3,2,1)=-1.
eijk(2,1,3)=-1.
eijk(1,3,2)=-1.
!
return
end subroutine initialize_identity
!
!
! This subroutine assigns orientations
subroutine initialize_orientations(Euler,gmatinv)
use utilities, only: Euler2ori
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: gmatinv(3,3)
real(8) :: g(3,3)
!
!
! Sample to crystal transformation
call Euler2ori(Euler,g)
!
!
! Crystal to sample tranformation
gmatinv = transpose(g)
!
!
return
end subroutine initialize_orientations
!
!
! All slip systems of different phases are initialized
! 1: BCC
! 2: FCC
! 3: HCP
! 4: alpha-uranium
! Forest projections are initialized here!
! The number of slip systems will be identified in materials card
! Slip directions
subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio,
+ screw,dirc,norc,trac,linc,forestproj,slip2screw)
use userinputs, only : maxnslip
use globalvariables, only : dir1, nor1, dir2, nor2,
+ dir3h, nor3h, dir4, nor4
use utilities, only: vecprod
use errors, only: error
implicit none
! Inputs
integer, intent(in) :: phaid, nslip, nscrew
real(8), intent(in) :: caratio
! Outputs
real(8), dimension(nslip,3), intent(out) :: dirc
real(8), dimension(nslip,3), intent(out) :: norc
real(8), dimension(nslip,3), intent(out) :: trac
real(8), dimension(nslip+nscrew,3), intent(out) :: linc
real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj
real(8), dimension(nscrew,nslip), intent(out) :: slip2screw
integer, dimension(nscrew), intent(out) :: screw
!
! Local variables used within this subroutine
real(8) :: dir(48,3), nor(48,3)
real(8) :: sdir(nslip+nscrew,3)
real(8) :: res
integer :: is, i, j
!
! caratio (c/a) ratio is only used for HCP materials
! So, caratio can take any value for other phases than HCP
!
! Reset arrays
dirc=0.; norc=0.
dir=0.; nor=0.
!
! BCC phase
if (phaid == 1) then
!
!
!
! Normalize slip directions and normals
do is=1, 48
dir(is,:) = dir1(is,:)/norm2(dir1(is,:))
!
nor(is,:) = nor1(is,:)/norm2(nor1(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
! FCC phase
elseif (phaid == 2) then
!
!
!
!
! Normalize slip directions and normals
do is=1,18
dir(is,:) = dir2(is,:)/norm2(dir2(is,:))
!
nor(is,:) = nor2(is,:)/norm2(nor2(is,:))
end do
!
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
!
!
!
! HCP phase
elseif (phaid == 3) then
!
! slip direction conversion
! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)])
do is=1,30
dir(is,1) = 3.*dir3h(is,1)/2.
dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2.
dir(is,3) = dir3h(is,4)*caratio
end do
!
!
! slip plane conversion
! (hkil)->(h (h+2k)/sqrt(3) l/(c/a))
do is=1,30
nor(is,1) = nor3h(is,1)
nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.)
nor(is,3) = nor3h(is,4)/caratio
end do
!
! Normalize slip directions and normals
do is=1,30
dir(is,:) = dir(is,:)/norm2(dir(is,:))
!
nor(is,:) = nor(is,:)/norm2(nor(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
!
! alpha-Uranium
elseif (phaid == 4) then
!
! Normalize slip directions and normals
do is=1,8
dir(is,:) = dir4(is,:)/norm2(dir4(is,:))
!
nor(is,:) = nor4(is,:)/norm2(nor4(is,:))
end do
!
! Assign the slip system
dirc(1:nslip,1:3) = dir(1:nslip,1:3)
norc(1:nslip,1:3) = nor(1:nslip,1:3)
!
else
!
! Error message needed!
! Phase number is not within the available options
call error(4)
!
!
!
end if
!
!
! Transverse directions
trac = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3))
!
end do
!
!
!
! Dislocation line directions:
!
! If screw systems are defined
if (nscrew>0) then
!
!
! Build up the screw slip systems
select case(phaid)
!
!
!
! BCC
case(1)
!
! a/2<111>
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 6
!
!
! FCC
case(2)
!
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 4
screw(5) = 6
screw(6) = 8
!
!
!
! HCP
case(3)
!
! slip
screw(1) = 1
screw(2) = 2
screw(3) = 3
!
screw(4) = 7
screw(5) = 8
screw(6) = 9
screw(7) = 10
screw(8) = 11
screw(9) = 12
!
!
!
!
end select
!
end if
!
!
!
! slip2screw mapping
slip2screw = 0.
! Loop through the defined screw systems for equivalency
do i = 1, nscrew
!
! Screw system corresponding slip system
is = screw(i)
!
! Set the mapping to 1/2
slip2screw(i,is) = 0.5
!
! Loop through all possible slip sytems
do j = 1, nslip
!
! Caclulate the difference in Burgers vector
res = dot_product(dirc(is,1:3),dirc(j,1:3))
!
! If all the components of the vector is the same
if (abs(res)>0.99) then
!
! Assign the component of mapping as 1/2
slip2screw(i,j) = 0.5
!
!
end if
!
! Loop for slip sytems
end do
!
!
! Loop for screw systems
end do
!
!
!
!
!
!
! Calculate line directions for edge dislocations
linc = 0.
do i = 1, nslip
!
call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3))
!
end do
!
! Calculate line directions for screw dislocations
! If screw dislocations exist
if (nscrew>0) then
!
do i = 1, nscrew
!
linc(nslip+i,1:3) = dirc(screw(i),1:3)
!
end do
!
end if
!
!
! Compute forest projection operator for GNDs
forestproj = 0.
do i = 1, nslip
!
do j = 1, nslip+nscrew
!
forestproj(i,j) =
+ abs(dot_product(norc(i,1:3),linc(j,1:3)))
!
enddo
!
enddo
!
!
!
!
!
!
!
!
return
end subroutine initialize_slipvectors
!
!
!
!
end module initializations
================================================
FILE: OXFORD-UMAT v3.3/innerloop.f
================================================
module innerloop
implicit none
contains
!
!
subroutine Dunne_innerloop(
+ Schmid,SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ creepmodel,creepparam,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,tauceff,
+ rhofor,X,gammasum,
+ sigma,tau,cpconv,
+ gammadot,Lp,
+ Dp,dstranp33,
+ invdpsi_dsigma,iter)
!
use globalvariables, only : I6
!
use userinputs, only : maxniter, tolerance,
+ maxnparam, maxnloop, SVDinversion, maxnslip
!
use utilities, only : matvec6,
+ nolapinverse, SVDinverse
!
use slip, only : sinhslip, doubleexpslip,
+ powerslip
!
use creep, only : expcreep
!
use errors, only : error
!
implicit none
!
! INPUTS
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! creep model no.
integer, intent(in) :: creepmodel
! creep model parameters
real(8), intent(in) :: creepparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! total slip per slip system accumulated over the time
! at the current time step
real(8), intent(in) :: gammasum(nslip)
!
! INOUTS
! Cauchy stress
real(8), intent(inout) :: sigma(6)
! overall crss
real(8), intent(inout) :: tau(nslip)
! convergence flag
integer, intent(inout) :: cpconv
!
! OUTPUTS
! slip rates at the current time step
real(8), intent(out) :: gammadot(nslip)
! plastic velocity gradient
real(8), intent(out) :: Lp(3,3)
! Total deformation rate
real(8), intent(out) :: Dp(3,3)
! Total deformation rate
real(8), intent(out) :: dstranp33(3,3)
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8), intent(out) :: invdpsi_dsigma(6,6)
! number of iterations
integer, intent(out) :: iter
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! plastic velocity gradient for creep
real(8) Lp_c(3,3)
! Sym part of plastic velocity gradient for slip
real(8) Dp_s(3,3)
! Sym part of plastic velocity gradient for creep
real(8) Dp_c(3,3)
! plastic tangent stiffness for slip
real(8) Pmat_s(6,6)
! plastic tangent stiffness for creep
real(8) Pmat_c(6,6)
! tangent matrix for NR iteration
real(8) Pmat(6,6)
! slip rates for slip
real(8) gammadot_s(nslip)
! slip rates for creep
real(8) gammadot_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtau_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtau_c(nslip)
! derivative of slip rates wrto rss for slip
real(8) dgammadot_dtauc_s(nslip)
! derivative of slip rates wrto rss for creep
real(8) dgammadot_dtauc_c(nslip)
!
! plastic strain increment
real(8) :: dstranp(6)
!
!
! Jacobian of the Newton-Raphson loop
! and its inverse
real(8) :: dpsi_dsigma(6,6)
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psi(6)
!
!
!
! stress increment
real(8) :: dsigma(6)
!
! error flag for svd inversion
integer :: err
!
integer :: is
!
! Reset variables for the inner iteration
psinorm = 1.
iter = 0
!
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= tolerance)
+.and.(iter < maxniter).and.(cpconv == 1))
!
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
Lp_s = 0.
Dp_s = 0.
Pmat_s = 0.
gammadot_s = 0.
!
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslip(Schmid,SchmidxSchmid,
+ tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! exponential law
elseif (slipmodel == 2) then
!
!
call doubleexpslip(Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,nslip,phaid,
+ mattemp,slipparam,irradiationmodel,
+ irradiationparam,cubicslip,caratio,
+ Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslip(Schmid,SchmidxSchmid,
+ tau,X,tauceff,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,Dp_s,Pmat_s,
+ gammadot_s,dgammadot_dtau_s,
+ dgammadot_dtauc_s)
!
!
end if
!
!
!
! Slip due to creep
if (creepmodel == 0) then
!
!
Lp_c = 0.
Dp_c = 0.
Pmat_c = 0.
gammadot_c = 0.
!
!
elseif (creepmodel == 1) then
!
!
!
call expcreep(Schmid,SchmidxSchmid,
+ tau,X,tauceff,dt,nslip,phaid,
+ mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c,
+ gammadot_c,dgammadot_dtau_c,
+ dgammadot_dtauc_c)
!
!
!
!
endif
!
!
! Sum the effects of creep and slip rates
Lp = Lp_s + Lp_c
Dp = Dp_s + Dp_c
Pmat = Pmat_s + Pmat_c
gammadot = gammadot_s + gammadot_c
!
!
!
! Check for NaN in the slip rates
if(any(gammadot/=gammadot)) then
! did not converge
cpconv = 0
return
endif
!
!
! Check for Inf in the slip rate vector
if(any(gammadot*0./=gammadot*0.)) then
! did not converge
cpconv = 0
return
endif
!
! Check for the Pmat
if(any(Pmat /= Pmat)) then
! did not converge
cpconv = 0
return
endif
!
!
!
! Plastic strain increment
dstranp33 = Dp*dt
call matvec6(dstranp33,dstranp)
dstranp(4:6)=2.*dstranp(4:6)
!
!
!
!
! Tangent-stiffness calculation
! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007)
dpsi_dsigma = I6 + matmul(Cs, Pmat)
!
!
!
! Invert (double precision version)
call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6)
!
!
! If inversion is not successfull!
! Check for the inverse
if(any(invdpsi_dsigma /= invdpsi_dsigma)) then
!
! Try using singular value decomposition
! If singular value decomposition is ON
if (SVDinversion==1) then
!
! Invert
call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err)
!
!
!
else
!
!
! did not converge
err = 1
!
!
!
end if
!
! Check again and if still not successfull
if(err==1) then
! did not converge
cpconv = 0
return
end if
!
!
endif
!
!
!
! residual (predictor - corrector scheme)
psi = sigmatr - sigma - matmul(Cs,dstranp)
!
! norm of the residual
psinorm = sqrt(sum(psi*psi))
!
!
! stress increment
dsigma = matmul(invdpsi_dsigma,psi)
!
!
! stress update
sigma = sigma + dsigma
!
!
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau(is) = dot_product(Schmidvec(is,:),sigma)
end do
!
!
! increment iteration no.
iter = iter + 1
!
! End of NR iteration (inner loop)
end do
!
!
!
!
!
return
end subroutine Dunne_innerloop
!
!
!
!
!
!
!
!
! This subroutine is written by Chris Hardie (11/10/2023)
! Explicit state update rule
! Solution using state variables at the former time step
subroutine Hardie_innerloop(
+ Schmid,SchmidxSchmid,Schmidvec,
+ phaid,nslip,mattemp,Cs,
+ burgerv,cubicslip,caratio,
+ slipparam,slipmodel,
+ irradiationmodel,
+ irradiationparam,
+ dt,sigmatr,
+ abstautr,signtautr,
+ tauceff,rhofor,X,
+ sigma,iterinverse)
!
use globalvariables, only : I3, I6, smallnum
!
use userinputs, only : maxniter, maxnparam, maxnslip,
+ inversetolerance
!
use utilities, only : matvec6, gmatvec6
!
use slipreverse, only : sinhslipreverse, powerslipreverse,
+ doubleexpslipreverse
!
!
implicit none
!
!
! INPUTS
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! Vectorized Schmid tensor
real(8), intent(in) :: Schmidvec(nslip,6)
! phase-id
integer, intent(in) :: phaid
! number of slip sytems
integer, intent(in) :: nslip
! temperature
real(8), intent(in) :: mattemp
! elastic compliance
real(8), intent(in) :: Cs(6,6)
! Burgers vectors
real(8), intent(in) :: burgerv(nslip)
! flag for cubic slip systems
integer, intent(in) :: cubicslip
! c/a ratio for hcp crystals
real(8), intent(in) :: caratio
! slip model no.
integer, intent(in) :: slipmodel
! slip model parameters
real(8), intent(in) :: slipparam(maxnparam)
! irrradiation model no.
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
!
! time increment
real(8), intent(in) :: dt
! trial stress
real(8), intent(in) :: sigmatr(6)
! absolute value of trial RSS
real(8), intent(in) :: abstautr(nslip)
! sign of trial RSS
real(8), intent(in) :: signtautr(nslip)
! overall crss
real(8), intent(in) :: tauceff(nslip)
! total forest dislocation density per slip system at the former time step
real(8), intent(in) :: rhofor(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
!
! OUTPUTS
! Cauchy stress
real(8), intent(out) :: sigma(6)
! Number of iterations
integer, intent(out) :: iterinverse
!
!
! Local variables used within this subroutine
!
! plastic velocity gradient for slip
real(8) Lp_s(3,3)
! slip rates for slip
real(8) gammadot_s(nslip)
! absolute slip rates
real(8) absgammadot_s(nslip)
! sign of gammadot_s
real(8) signgammadot_s(nslip)
! derivative of rss wrt slip rates for slip
real(8) dtau_dgammadot_s(nslip,nslip)
! derrivative of error function
real(8) dpsi_dgammadot(nslip,nslip)
! inverse of derivative above
real(8) dpsi_dgammadotinv(nslip,nslip)
! slip correction
real(8) dgammadot(nslip)
! Derivative of slip law in forward direction
real(8) :: dgammadot_dtau(nslip)
! rss at the former time step
real(8) :: tau(nslip), tau_e(nslip)
! absolute value of rss at the former time step
real(8) :: abstau(nslip)
! sign of rss at the former time step
real(8) :: signtau(nslip)
!
! residual of the Newton-Raphson loop
! vector and scalar
real(8) :: psinorm, psinorm2, psi(nslip)
!
! Forward Jacobian
real(8) :: Pmat(6,6)
real(8) :: dpsi_dsigma(6,6)
! LU decomposition matricies for calculation of determinant
! real(8), allocatable :: l(:,:), u(:,:)
! integer, allocatable :: p(:,:)
!
! plastic strain increment
real(8) :: plasstraininc33(3,3), plasstraininc(6)
real(8) :: plasstrainrate(3,3)
!
! Shear Stiffness Matrix
real(8) :: G(nslip,nslip)
!
! other variables
real(8) :: dummy6(6), damping, iter_max, activesum
integer :: is
!
! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6))
!
!
! Reset variables for iteration
iter_max=10000.0
iterinverse = 0
psinorm = 1.0d+200
psinorm2 = 1.0d+200
!
! Initial guess for NR scheme
! Stress at the former time step
sigma = sigmatr
abstau = abstautr
signtau =signtautr
tau_e = abstau*signtau
gammadot_s=0.
absgammadot_s=0.
Lp_s=0.
!
! Build Shear stiffness matrix
!
G = 0.
do is = 1, nslip
dummy6 = matmul(Cs, Schmidvec(is,:))
G(is,is) = dot_product(Schmidvec(is,:), dummy6)
end do
!
! Newton-Raphson (NR) iteration to find stress increment
do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2))
!
! increment iteration no.
iterinverse = iterinverse + 1
!
! Slip models to find slip rates
!
! none
if (slipmodel == 0) then
!
gammadot_s = 0.
!
! sinh law
elseif (slipmodel == 1) then
!
call sinhslipreverse(
+ Schmid,SchmidxSchmid,signtau,
+ abstau,tau,X,tauceff,rhofor,burgerv,dt,
+ nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,Lp_s,
+ absgammadot_s, gammadot_s,
+ dtau_dgammadot_s, dgammadot_dtau,Pmat)
!
!
!
! double exponent law (exponential law)
elseif (slipmodel == 2) then
!
!
call doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,Pmat,absgammadot_s,gammadot_s,
+ dtau_dgammadot_s,dgammadot_dtau)
!
!
! power law
elseif (slipmodel == 3) then
!
!
call powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau,X,abstau,signtau,tauceff,
+ burgerv,dt,nslip,phaid,mattemp,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s,
+ dgammadot_dtau, Pmat)
!
!
end if
!
! calculate resolved shear stress on slip systems
! rss and its sign
activesum=0
do is = 1, nslip
tau(is) = signtau(is)*abstau(is)
if (abstau(is) .GE. tauceff(is)) then
activesum=activesum+1.0
end if
end do
!
! residual (predictor - corrector) including backstress
psi = tau - X - tau_e
!
! norm of the residual
psinorm2 = sqrt(sum(psi*psi))
!
! Forward Jacobian
dgammadot_dtau=abs(dgammadot_dtau)*dt
psinorm = maxval(dgammadot_dtau)
!
! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u)
!
!
!
! dpsi_dgammadot
!
dpsi_dgammadot = dtau_dgammadot_s + G*dt
!
! Invert diagonal matrix
dpsi_dgammadotinv=0.
do is = 1, nslip
dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is)
end do
!
!
damping=min(2.0/activesum, 1.0)!0.5)
! damping = 0.5
! if (psinorm > 200.0) then
! damping=min(2.0/activesum, 0.5)
! end if
!
! slip increment
dgammadot = matmul(dpsi_dgammadotinv,psi)
!
gammadot_s = gammadot_s-damping*dgammadot
!
!
! Calculate Plastic Strain
Lp_s=0.; plasstrainrate=0.
do is = 1, nslip
Lp_s = Lp_s + gammadot_s(is)*Schmid(is,:,:)
plasstrainrate = plasstrainrate +
+ gammadot_s(is)*Schmid(is,:,:)
absgammadot_s(is) = abs(gammadot_s(is))
signgammadot_s(is)= sign(1.0,gammadot_s(is))
end do
!
! plastic strain rate
plasstrainrate = (plasstrainrate +
+ transpose(plasstrainrate))/2.
!
!
! Plastic strain increment
plasstraininc33 = plasstrainrate*dt
call matvec6(plasstraininc33,plasstraininc)
plasstraininc(4:6)=2.*plasstraininc(4:6)
call gmatvec6(plasstraininc33,plasstraininc)
!
! Calculate rss following plastic relaxation
!
sigma=sigmatr-matmul(Cs,plasstraininc)
!
! calculate resolved shear stress on slip systems
! rss and its sign
do is = 1, nslip
tau_e(is) = dot_product(Schmidvec(is,:),sigma)
tau(is) = tau_e(is)
signtau(is) = sign(1.0,tau(is))
abstau(is) = abs(tau(is))
end do
!
! check if slip is changing direction
do is = 1, nslip
if (signgammadot_s(is) /= signtau(is)) then
gammadot_s(is)=0.0
absgammadot_s(is)=0.0
end if
end do
!
if (iterinverse > iter_max) then
psinorm=1e-10
psinorm2=1e-10
end if
!
! End of NR iteration for stress approximation
end do
!active_s=1
!do is = 1, nslip
! if (absgammadot_s(is) > 0.0) then
! active_s(is)=1
! end if
!end do
return
end subroutine Hardie_innerloop
!
end module innerloop
================================================
FILE: OXFORD-UMAT v3.3/irradiation.f
================================================
! Specific subroutines for irradiation models
!
! Strength and hardening interaction matrices for irradiation model-2
module irradiation
implicit none
!
!
contains
!
!
! Subroutine to calculate strength interaction matrix for
! irradiation model-2
! Ref: https://doi.org/10.1016/j.actamat.2022.118361
subroutine calculateintmats4irradmodel2(nslip, dirc, norc,
+ irradiationparam, sintmat, hintmat)
use userinputs, only: maxnslip, maxnparam
implicit none
! Inputs
! Number of slip systems
integer, intent(in) :: nslip
! Normalize slip directions
real(8), intent(in) :: dirc(maxnslip,3)
! Normalized slip plane normals
real(8), intent(in) :: norc(maxnslip,3)
! Irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! Outputs
! Strength interaction matrix
! Strength interaction: sintmat (nslip x nloop)
real(8), intent(out) :: sintmat(maxnslip,maxnslip)
! Hardening (Softening) interaction matrix
! Hardening interaction: hintmat (nloop x nslip)
real(8), intent(out) :: hintmat(maxnslip,maxnslip)
! Variables used in this subroutine
integer :: nloop
! reaction vector
real(8) :: r(3)
! Projected vector (reaction segment)
real(8) :: a
integer :: i, j, ind
!
!
!
!
! Reset arrays
sintmat = 0.
hintmat = 0.
!
!
! Number of types of defects
nloop = int(irradiationparam(1))
!
!
do i=1,nslip
!
do j=1,nloop
!
! Slip system index corresponding to the defect type
ind = int(irradiationparam(7+j))
!
! What is the reaction product for the gliding dislocation on slip
! system 'i' and defect type 'j'?
r = dirc(i,:) + dirc(ind,:)
!
! Is this reaction in the slip plane of slip system 'i'?
a = dot_product(norc(i,:), r)
!
if (a==0.) then
sintmat(i,j)=irradiationparam(12)
hintmat(j,i)=irradiationparam(14)
else
sintmat(i,j)=irradiationparam(11)
hintmat(j,i)=irradiationparam(13)
end if
!
end do
!
end do
!
!
!
!
!
!
!
end subroutine calculateintmats4irradmodel2
!
!
!
end module irradiation
================================================
FILE: OXFORD-UMAT v3.3/meshprop.f
================================================
! Jan. 01st, 2023
! Eralp Demir
!
!
! ABAQUS Analysis User's Manual (6.10)
! 2D-Plane strain elements
! CPE4 4-node bilinear 4-integration points
! CPE6 6-node quadratic 3-integration points
! CPE8 8-node biquadratic 9-integration points
! CPE8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 2D-Plane stress elements
! CPS4 4-node bilinear 4-integration points
! CPS6 6-node quadratic 3-integration points
! CPS8 8-node biquadratic 9-integration points
! CPS8R 8-node biquadratic 4-integration points (reduced integration)
!
!
! 3D - element types
! C3D6 6-node linear triangular prism 4-integration points
! C3D8 8-node linear brick 8-integration points
! C3D10 10-node quadratic tetrahedron 4-integration points
! C3D15 15-node quadratic triangular prism 9-integration points
! C3D20 20-node quadratic brick 27-integration points
! C3D20R 20-node quadratic brick 8-integration points (reduced integration)
!
module meshprop
implicit none
contains
!
! Finite element properties
! based on element type
subroutine feprop
use errors, only : error
use globalvariables, only : eltyp, numel,
+ numtens, numdim, numpt, nnpel,
+ Nmat, invNmat, dNmat, dNmatc,
+ ipweights, calculategradient
use userinputs, only : gndlinear, gndmodel
use utilities, only: nolapinverse
!
!
implicit none
!
! Gaussian point coordinates
real(8) :: a, b
! Parametric coordinates
real(8) :: g, h, r
!
! Separate variables are used for each element type
! in order to avoid using allocatables!
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP4(4,2)
! Shape functions (nnpel)
real(8) :: N_CP4(4)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP4(2,4)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP4(4,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP4(4,4)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP4(4,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP4(2,4)
!
!
! Element type: CPE6 or CPS6
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP6(3,2)
! Shape functions (nnpel)
! Linear version
real(8) :: N_CP3(3)
! Quadratic version
real(8) :: N_CP6(6)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_CP3(2,3)
! Quadratic version
real(8) :: dN_CP6(2,6)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_CP3(3,3)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_CP6(6,6)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_CP3(3,3)
! Quadratic version
real(8) :: invNmat_CP6(6,3)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_CP3(3,2,3)
! Quadratic version
real(8) :: dNmat_CP6(3,2,6)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_CP3(2,3)
! Quadratic version
real(8) :: dNmatc_CP6(2,6)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP6(3,2)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_CP3(3,2)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_CP6(6,3)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_CP6(6,6)
!
!
! Element type: CPE8 or CPS8
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_CP8(9,2)
! Shape functions (nnpel)
real(8) :: N_CP8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_CP8(2,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8(9,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8(8,9)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_CP8(9,2,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8(2,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8(8,8)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_CP8lin(9,4)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_CP8lin(4,9)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_CP8lin(9,2,4)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_CP8lin(2,4)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_CP8lin(4,4)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_CP8lin(4,4)
!
!
! Element type: C3D8 or C3D20R
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D8(8,3)
! Shape functions (nnpel)
real(8) :: N_C3D8(8)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D8(3,8)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D8(8,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D8(8,8)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D8(8,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D8(3,8)
!
!
! Element type: C3D10
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D10(4,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D4(4)
! Quadratic version
real(8) :: N_C3D10(10)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D4(3,4)
! Quadratic version
real(8) :: dN_C3D10(3,10)
! Shape function matrix
! Linear version (numpt x nnpel)
real(8) :: Nmat_C3D4(4,4)
! Linear version (numpt_sub x nnpel)
real(8) :: Nmat_sub_C3D4(6,4)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D10(10,10)
! Inverse of the shape function matrix (nnpel x numpt)
! Linear version
real(8) :: invNmat_C3D4(4,4)
! Quadratic version
real(8) :: invNmat_C3D10(10,4)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D4(4,3,4)
! Quadratic version
real(8) :: dNmat_C3D10(4,3,10)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D4(3,4)
! Quadratic version
real(8) :: dNmatc_C3D10(3,10)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D10(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D4(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D10(10,4)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D10(10,10)
!
!
!
! Element type: C3D15
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D15(9,3)
! Shape functions (nnpel)
! Linear version
real(8) :: N_C3D6(6)
! Quadratic version
real(8) :: N_C3D15(15)
! Shape function derivatives (numdim x nnpel)
! Linear version
real(8) :: dN_C3D6(3,6)
! Quadratic version
real(8) :: dN_C3D15(3,15)
! Shape function matrix
! Linear version (numpt x nnpel_sub)
real(8) :: Nmat_C3D6(9,6)
! Quadratic version (numpt x nnpel_sub)
real(8) :: Nmat_sub_C3D6(6,6)
! Quadratic version (numpt+numpt_sub x nnpel)
real(8) :: Nmat_C3D15(15,15)
! Coefficient matrix
! Linear version (nnpel_sub x numpt)
real(8) :: coeff_C3D6(6,6)
! Linear version (nnpel_sub x numpt)
real(8) :: invNmat_C3D6(6,9)
! Quadratic version (nnpel x numpt)
real(8) :: invNmat_C3D15(15,9)
! Shape function derivatives (numdim x nnpel x numpt)
! Linear version
real(8) :: dNmat_C3D6(9,3,6)
! Quadratic version
real(8) :: dNmat_C3D15(9,3,15)
! Shape function derivatives at the center (numdim x nnpel)
! Linear version
real(8) :: dNmatc_C3D6(3,6)
! Quadratic version
real(8) :: dNmatc_C3D15(3,15)
! Sub element properties
! Global coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D15(6,3)
! Local coordinates (numpt_sub x numdim)
real(8) :: GPcoords_sub_C3D6(6,3)
! Sub element mapping for additional IPs (numpt+numpt_sub x numpt)
real(8) :: IPmap_C3D15(15,9)
! Inverse of the square matrix (nnpel x numpt + numpt_sub)
real(8) :: coeff_C3D15(15,15)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D6(6,6)
!
!
!
!
! Element type: C3D20
! GP coordinates (numpt x numdim)
real(8) :: GPcoords_C3D20(27,3)
! Shape functions (nnpel)
real(8) :: N_C3D20(20)
! Shape function derivatives (numdim x nnpel)
real(8) :: dN_C3D20(3,20)
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20(27,20)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20(20,20)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20(20,27)
! Shape function derivatives (numdim x nnpel x numpt)
real(8) :: dNmat_C3D20(27,3,20)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20(3,20)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20(20,20)
!
! Shape function matrix (numpt x nnpel)
real(8) :: Nmat_C3D20lin(27,8)
! Inverse of the shape function matrix (nnpel x numpt)
real(8) :: invNmat_C3D20lin(8,27)
! Shape function derivatives (numpt x numdim x nnpel)
real(8) :: dNmat_C3D20lin(27,3,8)
! Shape function derivatives at the center (numdim x nnpel)
real(8) :: dNmatc_C3D20lin(3,8)
! Square matrix (nnpel x nnpel)
real(8) :: NTN_C3D20lin(8,8)
! inverted square matrix (nnpel x nnpel)
real(8) :: coeff_C3D20lin(8,8)
!
!
! Sub element properties
integer :: nnpel_sub, numpt_sub
! Parametric Gauss point coordinates
integer :: ipt
! Dummy integers
integer :: i, j
!
!
! Identify the element type
! Based on
! - number of integration points per element: numpt
! - dimension of the problem: ntens
call findelementtype(numtens,numpt,eltyp)
!
!
!
!
!! Output the element type
! write(*,*) 'ABAQUS element type: ', eltyp
!
select case(eltyp)
!
! Element type: CPE3 or CPS3 or CPE6R or CPS6R
! Use the same interpolation functions for the reduced elements
case('CPE3', 'CPS3', 'CPE6R', 'CPS6R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 3
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4R or CPS4R
! Use the same interpolation functions for the reduced elements
case('CPE4R', 'CPS4R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
! Number of dimensions of the problem
numdim = 2
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Element type: CPE4 or CPS4 or CPE8R or CPS8R
! Use the same interpolation functions for the reduced elements
case('CPE4', 'CPS4', 'CPE8R', 'CPS8R')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP4 = 0.
GPcoords_CP4(1,:) = (/ -1., -1. /)
GPcoords_CP4(2,:) = (/ 1., -1. /)
GPcoords_CP4(3,:) = (/ -1., 1. /)
GPcoords_CP4(4,:) = (/ 1., 1. /)
GPcoords_CP4 = GPcoords_CP4/sqrt(3.)
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
!
! Gauss point coordinates
g = GPcoords_CP4(ipt,1)
h = GPcoords_CP4(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP4(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP4,invNmat_CP4,4)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP4 = dN_CP4
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP4(:,:)
dNmat(:,:,:) = dNmat_CP4(:,:,:)
invNmat(:,:) = invNmat_CP4(:,:)
dNmatc(:,:) = dNmatc_CP4(:,:)
!
!
! Element type: CPE6 or CPS6
case('CPE6', 'CPS6')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./6.
!
!
!
!
! Gauss points
GPcoords_CP6 = 0.
GPcoords_CP6(1,:) = (/ 1./6., 1./6. /)
GPcoords_CP6(2,:) = (/ 2./3., 1./6. /)
GPcoords_CP6(3,:) = (/ 1./6., 2./3. /)
!
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 3
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use CP3 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel) = N_CP3
!
! Shape function derivative
dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP3,invNmat_CP3,3)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3)
!
! Assign the center value
dNmatc_CP3 = dN_CP3
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP3(:,:)
dNmat(:,:,:) = dNmat_CP3(:,:,:)
invNmat(:,:) = invNmat_CP3(:,:)
dNmatc(:,:) = dNmatc_CP3(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Number of nodes per element
nnpel = 6
!
! Number of nodes per the sub element
nnpel_sub = 3
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_CP6 = 0.
GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /)
GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /)
GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /)
!
! Local coordinates (in its linear form)
GPcoords_sub_CP3 = 0.
GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /)
GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /)
GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /)
!
!
!
! Use CP6 (quadratic) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP6(ipt,1)
h = GPcoords_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(ipt,1:nnpel) = N_CP6
!
! Shape function derivative
dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6
!
end do
!
!
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_CP6(ipt,1)
h = GPcoords_sub_CP6(ipt,2)
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Shape function mapping
Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_CP3(ipt,1)
h = GPcoords_sub_CP3(ipt,2)
!
! Calculate shape functions and their derivatives
call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3)
!
! Shape function mapping
Nmat_CP3(ipt,1:nnpel_sub) = N_CP3
!
!
!
end do
!
!
IPmap_CP6=0.
! Identity matrix
do i=1,numpt
IPmap_CP6(i,i)=1.
end do
IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_CP3
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_CP6,coeff_CP6,6)
!
!
invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
!
! Calculate shape functions and their derivatives
call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6)
!
! Assign the center value
dNmatc_CP6 = dN_CP6
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP6(:,:)
dNmat(:,:,:) = dNmat_CP6(:,:,:)
invNmat(:,:) = invNmat_CP6(:,:)
dNmatc(:,:) = dNmatc_CP6(:,:)
!
!
!
!
!
endif
!
!
!
!
!
! Element type: CPE8 or CPS8
case('CPE8', 'CPS8')
!
! Number of dimensions of the problem
numdim = 2
!
!
!
! Integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.308641975308642
ipweights(2) = 0.493827160493827
ipweights(3) = 0.308641975308642
ipweights(4) = 0.493827160493827
ipweights(5) = 0.790123456790124
ipweights(6) = 0.493827160493827
ipweights(7) = 0.308641975308642
ipweights(8) = 0.493827160493827
ipweights(9) = 0.308641975308642
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
! Gauss points
GPcoords_CP8 = 0.
GPcoords_CP8(1,:) = (/ -1., -1. /)
GPcoords_CP8(2,:) = (/ 0., -1. /)
GPcoords_CP8(3,:) = (/ 1., -1. /)
GPcoords_CP8(4,:) = (/ -1., 0. /)
GPcoords_CP8(5,:) = (/ 0., 0. /)
GPcoords_CP8(6,:) = (/ 1., 0. /)
GPcoords_CP8(7,:) = (/ -1., 1. /)
GPcoords_CP8(8,:) = (/ 0., 1. /)
GPcoords_CP8(9,:) = (/ 1., 1. /)
GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Use CP4 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Shape function mapping
Nmat_CP8lin(ipt,1:nnpel) = N_CP4
!
! Shape function derivative
dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4
!
end do
!
!
! Make Nmat a square matrix
NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8lin,coeff_CP8lin,4)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4)
!
! Assign the center value
dNmatc_CP8lin = dN_CP4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8lin(:,:)
dNmat(:,:,:) = dNmat_CP8lin(:,:,:)
invNmat(:,:) = invNmat_CP8lin(:,:)
dNmatc(:,:) = dNmatc_CP8lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 8
!
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_CP8(ipt,1)
h = GPcoords_CP8(ipt,2)
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Shape function mapping
Nmat_CP8(ipt,1:nnpel) = N_CP8
!
! Shape function derivative
dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8
!
end do
!
! Make Nmat a square matrix
NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_CP8,coeff_CP8,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
!
! Calculate shape functions and their derivatives
call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8)
!
! Assign the center value
dNmatc_CP8 = dN_CP8
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_CP8(:,:)
dNmat(:,:,:) = dNmat_CP8(:,:,:)
invNmat(:,:) = invNmat_CP8(:,:)
dNmatc(:,:) = dNmatc_CP8(:,:)
!
!
end if
!
!
case('C3D4')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 4
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
case('C3D6')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 6
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
case('C3D8R')
!
! GND calculation is not possible for this element type
if (gndmodel>0) then
call error(7)
end if
!
!
!
! Number of dimensions of the problem
numdim = 3
!
!
! Single integration point
calculategradient = 0
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
!
! Element type: C3D8 or C3D20R
! Use the same interpolation functions for the reduced element
case('C3D8','C3D20R')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! Number of nodes per element
nnpel = 8
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1.
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Gauss points
GPcoords_C3D8 = 0.
GPcoords_C3D8(1,:) = (/ -1., -1., -1. /)
GPcoords_C3D8(2,:) = (/ 1., -1., -1. /)
GPcoords_C3D8(3,:) = (/ -1., 1., -1. /)
GPcoords_C3D8(4,:) = (/ 1., 1., -1. /)
GPcoords_C3D8(5,:) = (/ -1., -1., 1. /)
GPcoords_C3D8(6,:) = (/ 1., -1., 1. /)
GPcoords_C3D8(7,:) = (/ -1., 1., 1. /)
GPcoords_C3D8(8,:) = (/ 1., 1., 1. /)
GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.)
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D8(ipt,1)
h = GPcoords_C3D8(ipt,2)
r = GPcoords_C3D8(ipt,3)
!
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
!
!
! Shape function mapping
Nmat_C3D8(ipt,1:nnpel) = N_C3D8
!
!
!
! Shape function derivative
dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8
!
!
end do
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D8,invNmat_C3D8,8)
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D8 = dN_C3D8
!
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D8(:,:)
dNmat(:,:,:) = dNmat_C3D8(:,:,:)
invNmat(:,:) = invNmat_C3D8(:,:)
dNmatc(:,:) = dNmatc_C3D8(:,:)
!
!
!
!
!
! Element type: C3D10
case('C3D10')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights = 1./4./6.
!
! Gauss points
a = 0.138196601125010
b = 0.585410196624968
!
!
GPcoords_C3D10 = 0.
GPcoords_C3D10(1,:) = (/ a, a, a /)
GPcoords_C3D10(2,:) = (/ b, a, a /)
GPcoords_C3D10(3,:) = (/ a, b, a /)
GPcoords_C3D10(4,:) = (/ a, a, b /)
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 4
!
!
! Number of nodes per the sub element
nnpel_sub = 0
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
! Use C3D4 (linear) element function
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_C3D4(ipt,1:nnpel) = N_C3D4
!
! Shape function derivative
dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4
!
end do
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D4,invNmat_C3D4,4)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Assign the center value
dNmatc_C3D4 = dN_C3D4
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D4(:,:)
dNmat(:,:,:) = dNmat_C3D4(:,:,:)
invNmat(:,:) = invNmat_C3D4(:,:)
dNmatc(:,:) = dNmatc_C3D4(:,:)
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 10
!
! Number of nodes per the sub element
nnpel_sub = 4
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
!
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D10 = 0.
do i=1,numdim
GPcoords_sub_C3D10(1,i) =
+ 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i))
GPcoords_sub_C3D10(2,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i))
GPcoords_sub_C3D10(3,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(4,i) =
+ 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i))
GPcoords_sub_C3D10(5,i) =
+ 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i))
GPcoords_sub_C3D10(6,i) =
+ 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D4 = 0.
GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /)
GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /)
GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /)
GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /)
GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /)
GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /)
!
!
!
!
!
! Use C3D10 (quadratic) element function
write(*,*) 'Quadratic interpolation for will be used GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D10(ipt,1)
h = GPcoords_C3D10(ipt,2)
r = GPcoords_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(ipt,1:nnpel) = N_C3D10
!
! Shape function derivative
dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10
!
!
end do
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D10(ipt,1)
h = GPcoords_sub_C3D10(ipt,2)
r = GPcoords_sub_C3D10(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Shape function mapping
Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D4(ipt,1)
h = GPcoords_sub_C3D4(ipt,2)
r = GPcoords_sub_C3D4(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4)
!
! Shape function mapping
Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4
!
!
end do
!
!
! Identity matrix
IPmap_C3D10 = 0.
do i=1,numpt
IPmap_C3D10(i,i)=1.
end do
!
IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D4
!
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D10,coeff_C3D10,10)
!
!
!
invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10)
!
!
! Shape function derivatives at the element center
g = 1./4.
h = 1./4.
r = 1./4.
!
! Calculate shape functions and their derivatives
call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10)
!
! Assign the center value
dNmatc_C3D10 = dN_C3D10
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D10(:,:)
dNmat(:,:,:) = dNmat_C3D10(:,:,:)
invNmat(:,:) = invNmat_C3D10(:,:)
dNmatc(:,:) = dNmatc_C3D10(:,:)
!
!
!
!
!
!
!
!
endif
!
!
!
! Element type: C3D15
case('C3D15')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=1./6./3.
!
!
!
! Isoparametric coordinate (r-axis)
a = 0.774596669241483
!
!
GPcoords_C3D15 = 0.
GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /)
GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /)
GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /)
GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /)
GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /)
GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /)
GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /)
GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /)
GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /)
!
GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a
!
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 6
!
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
!
! Use C3D6 (linear) element function
write(*,*) 'Linear interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_C3D6(ipt,1:nnpel) = N_C3D6
!
! Shape function derivative
dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6
!
end do
!
!
NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D6,coeff_C3D6,6)
!
!
invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6))
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Assign the center value
dNmatc_C3D6 = dN_C3D6
!
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D6(:,:)
dNmat(:,:,:) = dNmat_C3D6(:,:,:)
invNmat(:,:) = invNmat_C3D6(:,:)
dNmatc(:,:) = dNmatc_C3D6(:,:)
!
!
!
!
!
!
!
! Quadratic interpolation functions
else
!
! Number of nodes per element
nnpel = 15
!
! Number of nodes of the sub-element
nnpel_sub = 6
!
! Additional Gauss points for quadratic interpolation
numpt_sub = nnpel-numpt
! Calculated using the linear sub-element
! Global coordinates (in its quadratic form)
GPcoords_sub_C3D15 = 0.
do i=1,numdim
GPcoords_sub_C3D15(1,i) =
+ 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i))
GPcoords_sub_C3D15(2,i) =
+ 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i))
GPcoords_sub_C3D15(3,i) =
+ 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i))
GPcoords_sub_C3D15(4,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i))
GPcoords_sub_C3D15(5,i) =
+ 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i))
GPcoords_sub_C3D15(6,i) =
+ 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i))
end do
!
!
! Local coordinates (in its linear form)
GPcoords_sub_C3D6 = 0.
GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /)
GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /)
GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /)
GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /)
GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /)
GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /)
!
!
!
!
!
! Use C3D15 (quadratic) element function
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D15(ipt,1)
h = GPcoords_C3D15(ipt,2)
r = GPcoords_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(ipt,1:nnpel) = N_C3D15
!
! Shape function derivative
dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15
!
!
end do
!
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt_sub
!
! Gauss point coordinates - global
g = GPcoords_sub_C3D15(ipt,1)
h = GPcoords_sub_C3D15(ipt,2)
r = GPcoords_sub_C3D15(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Shape function mapping
Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15
!
!
!
!
! Gauss point coordinates - local
g = GPcoords_sub_C3D6(ipt,1)
h = GPcoords_sub_C3D6(ipt,2)
r = GPcoords_sub_C3D6(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6)
!
! Shape function mapping
Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6
!
!
!
end do
!
!
! Identity matrix
IPmap_C3D15=0.
do i=1,numpt
IPmap_C3D15(i,i)=1.
end do
IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) =
+ Nmat_sub_C3D6
!
!
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(Nmat_C3D15,coeff_C3D15,15)
!
!
invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15)
!
!
! Shape function derivatives at the element center
g = 1./3.
h = 1./3.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15)
!
! Assign the center value
dNmatc_C3D15 = dN_C3D15
!
!
!
! Allocate global arrays
allocate(Nmat(numpt+numpt_sub,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D15(:,:)
dNmat(:,:,:) = dNmat_C3D15(:,:,:)
invNmat(:,:) = invNmat_C3D15(:,:)
dNmatc(:,:) = dNmatc_C3D15(:,:)
!
!
!
!
!
!
endif
!
!
!
!
!
!
! Element type: C3D20
case('C3D20')
!
! Number of dimensions of the problem
numdim = 3
!
!
!
! IP integration weights
allocate(ipweights(numpt))
ipweights=0.
!
ipweights(1) = 0.171467764060357
ipweights(2) = 0.274348422496571
ipweights(3) = 0.171467764060357
ipweights(4) = 0.274348422496571
ipweights(5) = 0.438957475994513
ipweights(6) = 0.274348422496571
ipweights(7) = 0.171467764060357
ipweights(8) = 0.274348422496571
ipweights(9) = 0.171467764060357
ipweights(10) = 0.274348422496571
ipweights(11) = 0.438957475994513
ipweights(12) = 0.274348422496571
ipweights(13) = 0.438957475994513
ipweights(14) = 0.702331961591221
ipweights(15) = 0.438957475994513
ipweights(16) = 0.274348422496571
ipweights(17) = 0.438957475994513
ipweights(18) = 0.274348422496571
ipweights(19) = 0.171467764060357
ipweights(20) = 0.274348422496571
ipweights(21) = 0.171467764060357
ipweights(22) = 0.274348422496571
ipweights(23) = 0.438957475994513
ipweights(24) = 0.274348422496571
ipweights(25) = 0.171467764060357
ipweights(26) = 0.274348422496571
ipweights(27) = 0.171467764060357
!
! Number of nodes per the sub element
nnpel_sub = 0
!
! Additional Gauss points for quadratic interpolation
numpt_sub = 0
!
!
GPcoords_C3D20 = 0.
GPcoords_C3D20(1,:)= (/ -1., -1., -1. /)
GPcoords_C3D20(2,:)= (/ 0., -1., -1. /)
GPcoords_C3D20(3,:)= (/ 1., -1., -1. /)
GPcoords_C3D20(4,:)= (/ -1., 0., -1. /)
GPcoords_C3D20(5,:)= (/ 0., 0., -1. /)
GPcoords_C3D20(6,:)= (/ 1., 0., -1. /)
GPcoords_C3D20(7,:)= (/ -1., 1., -1. /)
GPcoords_C3D20(8,:)= (/ 0., 1., -1. /)
GPcoords_C3D20(9,:)= (/ 1., 1., -1. /)
GPcoords_C3D20(10,:)= (/ -1., -1., 0. /)
GPcoords_C3D20(11,:)= (/ 0., -1., 0. /)
GPcoords_C3D20(12,:)= (/ 1., -1., 0. /)
GPcoords_C3D20(13,:)= (/ -1., 0., 0. /)
GPcoords_C3D20(14,:)= (/ 0., 0., 0. /)
GPcoords_C3D20(15,:)= (/ 1., 0., 0. /)
GPcoords_C3D20(16,:)= (/ -1., 1., 0. /)
GPcoords_C3D20(17,:)= (/ 0., 1., 0. /)
GPcoords_C3D20(18,:)= (/ 1., 1., 0. /)
GPcoords_C3D20(19,:)= (/ -1., -1., 1. /)
GPcoords_C3D20(20,:)= (/ 0., -1., 1. /)
GPcoords_C3D20(21,:)= (/ 1., -1., 1. /)
GPcoords_C3D20(22,:)= (/ -1., 0., 1. /)
GPcoords_C3D20(23,:)= (/ 0., 0., 1. /)
GPcoords_C3D20(24,:)= (/ 1., 0., 1. /)
GPcoords_C3D20(25,:)= (/ -1., 1., 1. /)
GPcoords_C3D20(26,:)= (/ 0., 1., 1. /)
GPcoords_C3D20(27,:)= (/ 1., 1., 1. /)
GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6)
!
!
! Based on the selected option
! Linear interpolation functions
if (gndlinear==1) then
!
!
write(*,*) 'Linear interpolation for will be used GNDs'
!
! Number of nodes per element (linear element)
! Assumed as a linear element
nnpel = 8
!
!
!
!
! Use C3D8 (linear) element function
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Shape function mapping
Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8
!
! Shape function derivative
dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20lin =
+ matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin)
!
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8)
!
! Overall mapping for mapping from IPs to nodes
invNmat_C3D20lin =
+ matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin))
!
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8)
!
! Assign the center value
dNmatc_C3D20lin = dN_C3D8
!
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20lin(:,:)
dNmat(:,:,:) = dNmat_C3D20lin(:,:,:)
invNmat(:,:) = invNmat_C3D20lin(:,:)
dNmatc(:,:) = dNmatc_C3D20lin(:,:)
!
!
!
!
else
!
!
!
!
! Number of nodes per element
nnpel = 20
!
write(*,*) 'Quadratic interpolation will be used for GNDs'
!
!
!
! Compute shape functions and their derivatives at the integration points
do ipt = 1, numpt
!
! Gauss point coordinates
g = GPcoords_C3D20(ipt,1)
h = GPcoords_C3D20(ipt,2)
r = GPcoords_C3D20(ipt,3)
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Shape function mapping
Nmat_C3D20(ipt,1:nnpel) = N_C3D20
!
! Shape function derivative
dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20
!
end do
!
!
! Make Nmat a square matrix
NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20)
!
! Compute inverse of the interpolation matrix
call nolapinverse(NTN_C3D20,coeff_C3D20,20)
!
! Overall mapping to map from the IPs to the nodes
invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20))
!
! Shape function derivatives at the element center
g = 0.
h = 0.
r = 0.
!
! Calculate shape functions and their derivatives
call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20)
!
! Assign the center value
dNmatc_C3D20 = dN_C3D20
!
!
! Allocate global arrays
allocate(Nmat(numpt,nnpel))
Nmat=0.
allocate(dNmat(numpt,numdim,nnpel))
dNmat=0.
allocate(invNmat(nnpel,numpt))
invNmat=0.
allocate(dNmatc(numdim,nnpel))
dNmatc=0.
!
! Assign global arrays
Nmat(:,:) = Nmat_C3D20(:,:)
dNmat(:,:,:) = dNmat_C3D20(:,:,:)
invNmat(:,:) = invNmat_C3D20(:,:)
dNmatc(:,:) = dNmatc_C3D20(:,:)
!
!
end if
!
!
!
case default
!
call error(2)
!
!
end select
!
!
write(*,*) 'Dimension of the analysis: ', numdim
write(*,*) 'Number of integration points per element: ', numpt
! write(*,*) 'Number of nodes per element: ', nnpel
!
!
!
return
end subroutine feprop
!
!
!
! Find the number of nodes for displacement analysis (not for GND analysis)
subroutine findelementtype(numtens,numpt,eltyp)
implicit none
integer, intent(in) :: numtens
integer, intent(in) :: numpt
character(len=:), allocatable, intent(out) :: eltyp
!
!
! Determine the element type
! Based on the dimension of the problem (numdim=ntens)
!
! Dimension of the problem (2D-plane stress)
if (numtens==3) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPS3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPS4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPS6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPS8'
!
end select
!
! Dimension of the problem (2D - Plane strain)
elseif (numtens==4) then
!
select case(numpt)
!
! 2D - CPS3 / CPS6R / CPS4R
case(1)
!
eltyp = 'CPE3'
!
! 2D - CPS4 / CPS8R
case(4)
!
eltyp = 'CPE4'
!
! 2D - CPS6
case(3)
!
eltyp = 'CPE6'
!
! 2D - 8 node quadratic quadrilateral
case(9)
!
eltyp = 'CPE8'
!
end select
!
!
! Dimension of the problem (3D)
elseif (numtens==6) then
!
select case(numpt)
!
! 3D - C3D4 / C3D8R / C3D10R
case(1)
!
eltyp = 'C3D4'
!
! 3D - C3D6 / C3D15R
case(2)
!
eltyp = 'C3D6'
!
! 3D - C3D8 / C3D20R
case(8)
!
eltyp = 'C3D8'
!
! 3D - C3D10
case(4)
!
eltyp = 'C3D10'
!
! 3D - C3D15
case(9)
!
eltyp = 'C3D15'
!
! 3D - C3D20
case(27)
!
eltyp = 'C3D20'
!
end select
!
end if
!
! write(*,*) 'Element type identified as: ', eltyp
!
return
end subroutine findelementtype
!
!
! Contains the element-by-element initializations
! Done only once at the first run
subroutine initialize_gradientoperators
use globalvariables, only : numel,
+ numdim, numpt, nnpel, gradip2ip, ipweights,
+ ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc
use userinputs, only : gndlinear
use utilities, only: nolapinverse, inv2x2, inv3x3
implicit none
! Gauss point coordinates in sample reference
real(8) :: xIP(numpt,numdim)
! Node point coordinates
real(8) :: xnode(nnpel,numdim)
! Jacobian transpose
real(8) :: JT(numdim,numdim)
! Jacobian inverse transpose
real(8) :: invJT(numdim,numdim)
! Determinant of the inversion
real(8) :: det
! Gradient operator
real(8) :: grad(numdim,nnpel)
! Overall mapping
real(8) :: grad_invN(numdim,numpt)
! Element number and ip number
integer :: iel, ipt
!
!
!
!
! Loop through each element
do iel = 1, numel
!
!
!
! Vectorize element ipcoordinates
xIP = 0.
do ipt = 1, numpt
!
xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim)
!
end do
!
!
!
!
!
xnode = matmul(invNmat,xIP)
!
!
!
!
!
! For each integration point
do ipt = 1, numpt
!
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode)
!
!
!
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! IP domain size
ipdomain(iel,ipt) = det * ipweights(ipt)
!
!
!
! Gradient operator
grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel))
!
!
!
! Overall mapping
grad_invN = matmul(grad,invNmat)
!
!
!
!
! Store
gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
! write(*,*) 'vol: ', sum(ipdomain(iel,:))
! write(*,*) '******************'
!
! For the center of the element
!
! Calculate jacobian (transpose) for isoparametric space to real reference
JT = matmul(dNmatc,xnode)
!
! Invert the Jacobian
if (numdim==2) then
!
call inv2x2(JT,invJT,det)
!
elseif (numdim==3) then
!
call inv3x3(JT,invJT,det)
!
endif
!
!
! Gradient operator
grad = matmul(invJT,dNmatc)
!
!
! Overall mapping
grad_invN = matmul(grad, invNmat)
!
! Store
gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN
!
!
!
!
!
end do
!
!
return
end subroutine initialize_gradientoperators
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE3 or CPS3
subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - g - h
!
N(2) = g
!
N(3) = h
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
!
!
!
return
end subroutine CP3_N_dN
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE4 or CPS4 or CPE8R or CPS8R
subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP4 element
N(1) = (1. - g) * (1. - h) / 4.
!
N(2) = (1. + g) * (1. - h) / 4.
!
N(3) = (1. + g) * (1. + h) / 4.
!
N(4) = (1. - g) * (1. + h) / 4.
!
!
!
!
! Shape function derivatives wrt natural coords for CP4 element
!
! dN_dg
dN(1,1) = -1. * (1. - h) / 4.
!
dN(1,2) = 1. * (1. - h) / 4.
!
dN(1,3) = 1. * (1. + h) / 4.
!
dN(1,4) = -1. * (1. + h) / 4.
!
! dN_dh
dN(2,1) = (1. - g) * -1. / 4.
!
dN(2,2) = (1. + g) * -1. / 4.
!
dN(2,3) = (1. + g) * 1. / 4.
dN(2,4) = (1. - g) * 1. / 4.
!
!
!
!
!
return
end subroutine CP4_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE6 or CPS6
subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP6 element
N(1) = 2. * (0.5 - g - h) * (1. - g - h)
!
N(2) = 2. * g * (g - 0.5)
!
N(3) = 2. * h * (h - 0.5)
!
N(4) = 4. * g * (1. - g - h)
!
N(5) = 4. * g * h
!
N(6) = 4. * h * (1. - g - h)
!
!
!
!
! Shape function derivatives wrt natural coords for C3D4 element
! dN_dg
dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.)
!
dN(1,3) = 0.
!
dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.)
!
dN(1,5) = 4. * (1.) * h
!
dN(1,6) = 4. * h * (-1.)
!
! dN_dh
dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.)
!
dN(2,2) = 0.
!
dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.)
!
dN(2,4) = 4. * g * (-1.)
!
dN(2,5) = 4. * g * (1.)
!
dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.)
!
!
!
!
return
end subroutine CP6_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: CPE8 or CPS8
subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP8 element
N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h)
!
N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h)
!
N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h)
!
N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h)
!
N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h)
!
N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g)
!
N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h)
!
N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g)
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP8 element
! dN_dg
dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (-1.)
!
dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
!
dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (1.)
!
dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) +
+ 1./2. * (1. - g) * (1.) * (1. - h)
!
dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.)
!
dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) +
+ 1./2. * (1. - g) * (1.) * (1. + h)
!
dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.)
!
!
!
! dN_dh
dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) +
+ (-1./4.) * (1. - g) * (1. - h) * (1.)
!
dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) +
+ (-1./4.) * (1. + g) * (1. - h) * (1.)
!
dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) +
+ (-1./4.) * (1. + g) * (1. + h) * (-1.)
dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) +
+ (-1./4.) * (1. - g) * (1. + h) * (-1.)
!
dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.)
!
dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) +
+ 1./2. * (1. - h) * (1.) * (1. + g)
!
dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.)
!
dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) +
+ 1./2. * (1. - h) * (1.) * (1. - g)
!
!
!
!
!
!
return
end subroutine CP8_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D4
subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for CP3 element
N(1) = 1. - h - r - g
!
N(2) = g
!
N(3) = h
!
N(4) = r
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = -1.
!
dN(1,2) = 1.
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
!
! dN_dh
dN(2,1) = -1.
!
dN(2,2) = 0.
!
dN(2,3) = 1.
!
dN(2,4) = 0.
!
!
! dN_dr
dN(3,1) = -1.
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = 1.
!
!
!
!
!
!
return
end subroutine C3D4_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D6
subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D6 element
N(1) = 1./2.*(1.-g-h)*(1.-r)
!
N(2) = 1./2.*g*(1.-r)
!
N(3) = 1./2.*h*(1.-r)
!
N(4) = 1./2.*(1.-g-h)*(1.+r)
!
N(5) = 1./2.*g*(1.+r)
!
N(6) = 1./2.*h*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for CP3 element
! dN_dg
dN(1,1) = 1./2.*(-1.)*(1.-r)
!
dN(1,2) = 1./2.*(1.)*(1.-r)
!
dN(1,3) = 0.
!
dN(1,4) = 1./2.*(-1.)*(1.+r)
!
dN(1,5) = 1./2.*(1.)*(1.+r)
!
dN(1,6) = 0.
!
!
!
! dN_dh
dN(2,1) = 1./2.*(-1.)*(1.-r)
!
dN(2,2) = 0.
!
dN(2,3) = 1./2.*(1.)*(1.-r)
!
dN(2,4) = 1./2.*(-1.)*(1.+r)
!
dN(2,5) = 0.
!
dN(2,6) = 1./2.*(1.)*(1.+r)
!
!
!
! dN_dr
dN(3,1) = 1./2.*(1.-g-h)*(-1.)
!
dN(3,2) = 1./2.*g*(-1.)
!
dN(3,3) = 1./2.*h*(-1.)
!
dN(3,4) = 1./2.*(1.-g-h)*(1.)
!
dN(3,5) = 1./2.*g*(1.)
!
dN(3,6) = 1./2.*h*(1.)
!
!
!
!
!
!
return
end subroutine C3D6_N_dN
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D8
subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D8 element
N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r)
!
N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r)
!
N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r)
!
N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r)
!
N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r)
!
N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r)
!
N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r)
!
N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D8 element
! dN_dg
dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r)
!
dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r)
!
dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r)
!
dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r)
!
dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r)
!
dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r)
!
dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r)
!
dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r)
!
!
!
!
! dN_dh
dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r)
!
dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r)
!
dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r)
!
dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r)
!
dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r)
!
dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r)
!
dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r)
!
dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r)
!
!
! dN_dr
dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.)
!
dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.)
!
dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.)
!
dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.)
!
dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.)
!
dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.)
!
dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.)
!
dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.)
!
!
!
!
!
!
return
end subroutine C3D8_N_dN
!
!
!
!
!
!
!
!
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D10
subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D10 element
N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r)
!
N(2) = (2.*g - 1.)*g
!
N(3) = (2.*h - 1.)*h
!
N(4) = (2.*r - 1.)*r
!
N(5) = 4.*(1.-g-h-r)*g
!
N(6) = 4.*g*h
!
N(7) = 4.*(1.-g-h-r)*h
!
N(8) = 4.*(1.-g-h-r)*r
!
N(9) = 4.*g*r
!
N(10) = 4.*h*r
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D10 element
! dN_dg
dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.)
!
dN(1,3) = 0.
!
dN(1,4) = 0.
!
dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.)
!
dN(1,6) = 4.*h
!
dN(1,7) = 4.*(-1.)*h
!
dN(1,8) = 4.*(-1.)*r
!
dN(1,9) = 4.*(1.)*r
!
dN(1,10) = 0.
!
!
!
!
! dN_dh
dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(2,2) = 0.
!
dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.)
!
dN(2,4) = 0.
!
dN(2,5) = 4.*(-1.)*g
!
dN(2,6) = 4.*g*(1.)
!
dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.)
!
dN(2,8) = 4.*(-1.)*r
!
dN(2,9) = 0.
!
dN(2,10) = 4.*(1.)*r
!
!
!
! dN_dr
dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.)
!
dN(3,2) = 0.
!
dN(3,3) = 0.
!
dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.)
!
dN(3,5) = 4.*(-1.)*g
!
dN(3,6) = 0.
!
dN(3,7) = 4.*(-1.)*h
!
dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.)
!
dN(3,9) = 4.*g*(1.)
!
dN(3,10) = 4.*h*(1.)
!
!
!
!
!
!
!
return
end subroutine C3D10_N_dN
!
!
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D15
subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D15 element
N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2))
!
N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2))
!
N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2))
!
N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2))
!
N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2))
!
N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2))
!
N(7) = 2.*(1.-g-h)*g*(1.-r)
!
N(8) = 2.*g*h*(1.-r)
!
N(9) = 2.*h*(1.-g-h)*(1.-r)
!
N(10) = 2.*(1.-g-h)*g*(1.+r)
!
N(11) = 2.*g*h*(1.+r)
!
N(12) = 2.*h*(1.-g-h)*(1.+r)
!
N(13) = (1.-g-h)*(1.-r**2)
!
N(14) = g*(1.-r**2)
!
N(15) = h*(1.-r**2)
!
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D15 element
! dN_dg
dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2.
!
dN(1,3) = 0.
!
dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2.
!
dN(1,6) = 0.
!
dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.)
!
dN(1,8) = -2.*h*(r - 1.)
!
dN(1,9) = 2.*h*(r - 1.)
!
dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.)
!
dN(1,11) = 2.*h*(r + 1.)
!
dN(1,12) = -2.*h*(r + 1.)
!
dN(1,13) = r**2 - 1.
!
dN(1,14) = 1. - r**2
!
dN(1,15) = 0.
!
!
!
! dN_dh
dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2.
!
dN(2,2) = 0.
!
dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2.
!
dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2.
!
dN(2,5) = 0.
!
dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2.
!
dN(2,7) = 2.*g*(r - 1.)
!
dN(2,8) = -2.*g*(r - 1.)
!
dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.)
!
dN(2,10) = -2.*g*(r + 1.)
!
dN(2,11) = 2.*g*(r + 1.)
!
dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.)
!
dN(2,13) = r**2 - 1.
!
dN(2,14) = 0.
!
dN(2,15) = 1. - r**2
!
!
!
! dN_dr
dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2.
!
dN(3,2) = (g*(2.*r - 2.*g + 1.))/2.
!
dN(3,3) = (h*(2.*r - 2.*h + 1.))/2.
!
dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2.
!
dN(3,5) = (g*(2.*g + 2.*r - 1.))/2.
!
dN(3,6) = (h*(2.*h + 2.*r - 1.))/2.
!
dN(3,7) = g*(2.*g + 2.*h - 2.)
!
dN(3,8) = -2.*g*h
!
dN(3,9) = 2.*h*(g + h - 1.)
!
dN(3,10) = -g*(2.*g + 2.*h - 2.)
!
dN(3,11) = 2.*g*h
!
dN(3,12) = -2.*h*(g + h - 1.)
!
dN(3,13) = 2.*r*(g + h - 1.)
!
dN(3,14) = -2.*g*r
!
dN(3,15) = -2.*h*r
!
!
!
!
!
!
!
!
return
end subroutine C3D15_N_dN
!
!
!
! Finite element shape functions and derivatives
! For Element type: C3D20
subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN)
implicit none
! inputs
! Number of nodes per element
integer, intent(in) :: nnpel
! Dimensions of the analysis
integer, intent(in) :: numdim
! Parametric coordinates
real(8), intent(in) :: g
real(8), intent(in) :: h
real(8), intent(in) :: r
!
! outputs
! Shape functions
real(8), dimension(nnpel), intent(out) :: N
! Shape function derivatives
real(8), dimension(numdim,nnpel), intent(out) :: dN
!
!
! Shape functions for C3D20 element
N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.)
!
N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.)
!
N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.)
!
N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.)
!
N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.)
!
N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.)
!
N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.)
!
N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.)
!
N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.)
!
N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.)
!
N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.)
!
N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.)
!
N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.)
!
N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.)
!
N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.)
!
!
!
!
!
! Shape function derivatives wrt natural coords for C3D20 element
! dN_dg
dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (h - 1.)*(r - 1.)*(g + h + r + 2.)/8.
!
dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (h - 1.)*(r - 1.)*(h - g + r + 2.)/8.
!
dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g + h - r - 2.)/8.
!
dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (h + 1.)*(r - 1.)*(g - h + r + 2.)/8.
!
dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g + h - r + 2.)/8.
!
dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (h - 1.)*(r + 1.)*(g - h + r - 2.)/8.
!
dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g + h + r - 2.)/8.
!
dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) +
+ (h + 1.)*(r + 1.)*(g - h - r + 2.)/8.
!
dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) -
+ (g + 1.)*(h - 1.)*(r - 1.)/4.
!
dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.)
dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.)
!
dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.)
!
dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.)
!
!
!
! dN_dh
dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.)
!
dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.)
!
dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.)
!
dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.)
!
dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.)
!
dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.)
!
dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.)
!
dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) +
+ (g + 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.)
!
dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) -
+ (g - 1.)*(h + 1.)*(r - 1.)/4.
!
dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.)
dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.)
!
dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.)
!
!
!
! dN_dr
dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) +
+ (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.)
!
dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.)
!
dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.)
!
dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) -
+ (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.)
!
dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.)
!
dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) -
+ (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.)
!
dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) +
+ (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.)
!
dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) -
+ (g/8. - 1./8.)*(h + 1.)*(r + 1.)
!
dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)
!
dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)
!
dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)
!
dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) -
+ (g - 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) +
+ (g + 1.)*(h - 1.)*(r + 1.)/4.
!
dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) -
+ (g + 1.)*(h + 1.)*(r + 1.)/4.
!
dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) +
+ (g - 1.)*(h + 1.)*(r + 1.)/4.
!
!
!
!
!
!
!
!
return
end subroutine C3D20_N_dN
!
!
!
!
!
!
!
!
!
!
end module meshprop
================================================
FILE: OXFORD-UMAT v3.3/miscellaneous.f
================================================
! Oct. 27th, 2025
! Eralp Demir
!
module miscellaneous
implicit none
contains
!
! ********************************************************
! ** general functions **
! ********************************************************
!
!
!
!
! Subroutine to calculate slip and kink bands
! Reference: https://doi.org/10.1016/j.actamat.2019.06.010
subroutine SlipandKink(noel,npt,K,S)
use userinputs, only: maxnslip
use globalvariables, only:
+ statev_theta, statev_evmp,
+ numel, numpt
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: K
real(8), intent(out) :: S
real(8) :: p_av, theta_av
real(8) :: L, R
p_av=sum(statev_evmp(:,:))/numpt/numel
theta_av=sum(statev_theta(:,:))/numpt/numel
! plastic slip
if (statev_evmp(noel,npt).gt.(1.5*p_av)) then
L = 1.
else
L =0.
end if
! rotation (changed from 3 to 2)
if (statev_theta(noel,npt).gt.(3.*theta_av)) then
R = 1.
else
R = 0.
end if
! Kink band
K = L * R
! Slip band
S = L - K
return
end subroutine SlipandKink
!
!
!
! Subroutine to calculate the active slip sytems
subroutine SlipSystemActivity(noel,npt,SSA)
use userinputs, only: maxnslip
use globalvariables, only: statev_gammadot, smallnum,
+ materialid, numslip_all
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: SSA(maxnslip)
integer :: is, nslip, matid
!
SSA=0.
matid = materialid(noel,npt)
if (matid.ne.0) then
nslip = numslip_all(matid)
do is=1,nslip
if (abs(statev_gammadot(noel,npt,is)).gt.smallnum) then
SSA(is)=1.
end if
end do
end if
!
return
end subroutine SlipSystemActivity
!
!
!
!
! Subroutine to calculate strain projections
subroutine ProjectLatticeStrain(noel,npt,eps)
use globalvariables, only: statev_Eec
use utilities, only: vecmat6
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: eps
real(8) :: hkl(3)
real(8) :: Eec33(3,3), Eec(6)
integer i, j
!
! THIS IS DEFINED BY THE USER
! Define hkl direction
hkl(1) = 0.
hkl(2) = -1.
hkl(3) = 1.
!
! Normalize
hkl=hkl/norm2(hkl)
!
! Read lattice strains
Eec=statev_Eec(noel,npt,:)
!
! Undo shears
Eec(4:6)=Eec(4:6)/2.
!
! Convert to a 3x3 matrix
call vecmat6(Eec,Eec33)
!
! Project
eps=0.
do i=1,3
do j=1,3
eps = eps +
+ hkl(i)*Eec33(i,j)*hkl(j)
end do
end do
!
!
return
end subroutine ProjectLatticeStrain
!
!
!
!
!
!
! Subroutine to calculate Fatemi Socie parameter
subroutine FatemiSocieParameter(noel,npt,FSp)
use userinputs, only: maxnslip
use globalvariables, only: statev_sigma, statev_gammasum,
+ statev_gmatinv, statev_tauceff, materialid, norc_0_all,
+ numslip_all
use utilities, only: vecmat6
implicit none
integer, intent(in) :: noel
integer, intent(in) :: npt
real(8), intent(out) :: FSp
! Variables used in the subroutine
real(8) :: sig6(6), sig3x3(3,3)
real(8) :: gammasum(maxnslip)
real(8) :: gmatinv(3,3)
real(8) :: tauceff(maxnslip), tauceffmax
integer :: matid
real(8) :: norc(3), nors(3)
real(8) :: shmax, sigmax, k
integer :: ismax, is, i, j, nslip
!
! Input parameter "k"
! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003
k = 0.5
!
!
FSp=0.
sig6 = statev_sigma(noel,npt,:)
gammasum = statev_gammasum(noel,npt,:)
gmatinv = statev_gmatinv(noel,npt,:,:)
tauceff = statev_tauceff(noel,npt,:)
matid = materialid(noel,npt)
if (matid.ne.0) then
nslip = numslip_all(matid)
!
!
! Find maximum slip
shmax=0.; ismax=0
do is=1,nslip
if (abs(gammasum(is)).gt.shmax) then
shmax = abs(gammasum(is))
ismax = is
end if
end do
!
! If there is no maximum or zero slip
if (ismax.eq.0) then
!
FSp=0.
!
! If there some slip on any system
else
! Maximum CRSS
tauceffmax = tauceff(ismax)
!
! Slip plane normal of maximum slip
norc = norc_0_all(matid,ismax,:)
!
! Transform to sample reference
nors = matmul(gmatinv,norc)
!
! Convert stress to 3x3 matrix
call vecmat6(sig6,sig3x3)
!
! Project stress to the slip plane of maximum slip
sigmax = 0.
do i = 1, 3
do j = 1, 3
sigmax = sigmax +
+ nors(i)*sig3x3(i,j)*nors(j)
end do
end do
!
! Check for zero tauceffmax
if (tauceffmax.gt.0.) then
! Parameter calculation
FSp = shmax/2.*(1.+k*sigmax/tauceffmax)
else
FSp = 0.
end if
!
end if
else
FSp = 0.
end if
!
return
end subroutine FatemiSocieParameter
!
!
!
! Identify the neighboring points
subroutine FindNeighbours
use globalvariables, only: pi,
+ numel, numpt, ipcoords, numdim, ipdomain,
+ numneigh, eleneigh, iptneigh, facneigh
use userinputs, only: maxneigh, horizonR
implicit none
! Variables used in this subroutine
integer :: iel, ipt, jel, jpt, k, ind
real(8) :: d, sum2, Vi, Vj
!
! Loop through each point
do iel=1, numel
do ipt = 1, numpt
Vi = ipdomain(iel,ipt)
ind=0
do jel=1,numel
if (jel.ne.iel) then
do jpt=1,numpt
Vj = ipdomain(jel,jpt)
sum2=0.
do k = 1, numdim
sum2 = sum2 +
+ (ipcoords(iel,ipt,k) - ipcoords(jel,jpt,k))**2
end do
d = sqrt(sum2)
if (d.le.horizonR) then
ind=ind+1
! Store the first maxneigh - array size
if (ind.le.maxneigh) then
numneigh(iel,ipt)=ind
eleneigh(iel,ipt,ind)=jel
iptneigh(iel,ipt,ind)=jpt
facneigh(iel,ipt,ind)=
+ Vj/Vi*exp(-pi*sum2/horizonR**2)
end if
end if
end do
end if
end do
enddo
enddo
return
end subroutine FindNeighbours
!
!
!
!
end module miscellaneous
================================================
FILE: OXFORD-UMAT v3.3/slip.f
================================================
! Oct. 6th, 2022
! Eralp Demir
! Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slip
implicit none
contains
!
!
subroutine sinhslip(
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,
+ dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
use errors, only: error
implicit none
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
! variables used within this subroutine
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
real(8) :: abstau, signtau
!
!
!
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
!
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
!
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
!
Pmat=0.; Lp = 0.; Dp = 0.
! Loop through slip systems
do is = 1,nslip
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
! Outer multipler "alpha" calculation:
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
! THESE CHECKS SHALL BE PLACED TO INITIALIZATION!
!! Check for zero activation volume
! if (AV == 0.) then
! call error(8)
! end if
!
!
!
!
! Inner multiplier "beta" calculation:
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
!
beta = AV/KB/T
!
!
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! Correction by C. Hardie - 26.05.2022
! This correction needs to be done if activation volume
! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then!
if (AV0 /= 0.0) then
! Corrected by A. Pechero - 23.02.2023
! same burgers magnitude for 1st-12th slip systems
! changes only if slip system is greater than 12th
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
end if
!
! This is critical threshold
if (abstau >= tauc(is)) then
!
! slip rate
gammadot(is) = alpha*
+ sinh(beta*(abstau-tauc(is)))*signtau
!
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau-tauc(is)))
!
!
dgammadot_dtauc(is) = -alpha*beta*
+ cosh(beta*(abstau-tauc(is)))*signtau
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
!
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
!
end if
!
end do
!
!
! Find plastic flow direction
Dp = (Lp + transpose(Lp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine sinhslip
!
!
!
!
!
!
!
!
!
!
! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal
! plasticity finite-element models on the simulation of nickel alloys,
! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951
!
subroutine doubleexpslip(
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB, smallnum
use utilities, only : gmatvec6
implicit none
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
! RSS/CRSS ratio
ratio=abstau/tauc(is)
!
! Avoid negative values before elevating to power q
if (ratio >= 1.0) then
!
gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature))
!
! Standard case
elseif (ratio /= 0.) then
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
! Strain rate due to thermally activated glide (rate dependent plasticity)
gammadot(is) = signtau*gammadot0*
+ exp(-(DeltaF/KB/T)*((1.-(ratio**p))**q))
!
if (abs(gammadot(is)) > smallnum) then
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**(p-1.))
!
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) )
dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q
+ *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**p)*signtau
!
else
gammadot(is)=0.
end if
!
!
endif
!
!
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
end do
!
!
! Find plastic flow direction
Dp = (Lp + transpose(Lp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
end subroutine doubleexpslip
!
!
!
!
!
!
!
!
!
!
!
!
subroutine powerslip(
+ Schmid,SchmidxSchmid,
+ tau,X,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Dp,Pmat,gammadot,dgammadot_dtau,
+ dgammadot_dtauc)
!
use userinputs, only : useaveragestatevars, maxnparam
use utilities, only : gmatvec6
implicit none
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(in) :: tau(nslip)
! Backstress
real(8), intent(in) :: X(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! plastic stretch rate at the deformed configuration
real(8), intent(out) :: Dp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(out) :: gammadot(nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of slip rates wrto crss
real(8), intent(out) :: dgammadot_dtauc(nslip)
!
! Variables used within this subroutine
integer :: is, i, j
real(8) :: gammadot0, power_n, constant_n, slope_n, ratio
real(8) :: abstau, signtau
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
Pmat = 0.; Lp = 0.; Dp = 0.
gammadot = 0.
dgammadot_dtau = 0.
dgammadot_dtauc = 0.
!
!
do is=1,nslip
!
!
! Absolute value of RSS
abstau = abs(tau(is)-X(is))
!
! Sign of RSS
signtau = sign(1.0,tau(is)-X(is))
!
!
ratio = abstau / tauc(is)
!
!
gammadot(is) = gammadot0*ratio**power_n*signtau
!
!
!
dgammadot_dtau(is) = gammadot0*power_n
+ /tauc(is)*ratio**(power_n-1.0)
!
!
dgammadot_dtauc(is) = -gammadot0*power_n
+ /tauc(is)*ratio**(power_n)*signtau
!
!
Pmat = Pmat +
+ dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:)
!
! Update plastic velocity gradient
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
!
end do
!
! Find plastic flow direction
Dp = (Lp + transpose(Lp))/2.
!
! Symmetrize Pmat
Pmat = (Pmat + transpose(Pmat))/2.
!
!
!
end subroutine powerslip
!
!
!
!
!
!
!
!
end module slip
================================================
FILE: OXFORD-UMAT v3.3/slipreverse.f
================================================
! Oct. 6th, 2023
! Chris Hardie
! Reverse Slip laws
! 1. sinh law
! 2. double exponent law
! 3. power law
module slipreverse
implicit none
contains
!
!
!
!
subroutine doubleexpslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,Pmat,absgammadot,gammadot,
+ dtau_dgammadot,dgammadot_dtau)
!
use userinputs, only : useaveragestatevars, maxnparam
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Absolute value of slip
real(8), intent(in) :: absgammadot(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! slip rates
real(8), intent(in) :: gammadot(nslip)
! crss at the current time step
real(8), intent(in) :: X(nslip)
! Value of RSS
real(8), intent(inout) :: tau(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! absolute value of RSS
real(8), intent(out) :: abstau(nslip)
!
! variables used within this subroutine
integer :: is
real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u
!
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! Inner exponent (p)
p = slipparam(2)
! Outer exponent (q)
q = slipparam(3)
! Activation energy for octahedral slip (J)
Foct = slipparam(4)
! Activation energy for cubic slip (J)
Fcub = slipparam(5)
!
!
!
Pmat = 0.; Lp = 0.
!
! Contribution to Lp of all slip systems
do is=1,nslip
!
! RSS/CRSS ratio
xx=abstau(is)/tauc(is)
!
! Activation energy
DeltaF=Foct
!
! Cubic slip case with a different activation energy
! If cubic slip systems are defined
if (cubicslip == 1) then
! For cubic slip systems: 13-..-18
if (is > 12) then
DeltaF=Fcub
end if
endif
!
!
u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF
!
abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p),
+ tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) = (KB*T*tauc(is)/
+ (absgammadot(is)*DeltaF*q*p))*
+ (1-u**(1/q))**((1-p)/p)*u**((1-q)/q)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
! Calculate derivative d ( gammadot(i) ) / d ( tau(i) )
dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q
+ *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.)
!
!
!
! Contribution to Jacobian
Pmat = Pmat +
+ dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:)
!
! Plastic velocity gradient contribution
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
!
end do
!
!
return
end subroutine doubleexpslipreverse
!
!
!
!
subroutine powerslipreverse(
+ Schmid,SchmidxSchmid,
+ tau, X, abstau,signtau,tauc,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot, gammadot,
+ dtau_dgammadot,
+ dgammadot_dtau, Pmat)
!
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8), intent(out) :: dgammadot_dtau(nslip)
! variables used within this subroutine
real(8) :: gammadot0, constant_n, slope_n, power_n
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! Reference strain rate
gammadot0 = slipparam(1)
! rate sensitivity exponent- constant (n)
constant_n = slipparam(2)
! temperature dependence of exponent (dn/dT)
slope_n = slipparam(3)
!
!
!
!
! Temperature dependence of rate sensitivity exponent
power_n = slope_n * T + constant_n
!
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
! This is critical threshold
if (((abstau(is) >= tauc(is)).OR.
+ (absgammadot(is) .GT. 1.0e-6))) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) =
+ (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1)
!
abstau(is)=
+ max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is))
!
tau(is)=abstau(is)*signtau(is)
!
!
if (absgammadot(is)>0.0) then
dtau_dgammadot(is,is) =
+ (tauc(is)/power_n*gammadot0)*
+ (absgammadot(is)/gammadot0)**((1-power_n)/power_n)
else
dtau_dgammadot(is,is) = 0.0
end if
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
!
end do
!
!
return
end subroutine powerslipreverse
!
!
!
!
!
!
!
subroutine sinhslipreverse(
+ Schmid, SchmidxSchmid, signtau,
+ abstau,tau, X,tauc,rhofor,
+ burgerv,dt,nslip,iphase,T,slipparam,
+ irradiationmodel,irradiationparam,
+ cubicslip,caratio,
+ Lp,absgammadot,gammadot,
+ dtau_dgammadot, dgammadot_dtau, Pmat)
!
use userinputs, only : useaveragestatevars,
+ maxnparam, maxnslip
use globalvariables, only : KB
use utilities, only : gmatvec6
implicit none
!
! Schmid tensor
real(8), intent(in) :: Schmid(nslip,3,3)
! Schmid dyadic
real(8), intent(in) :: SchmidxSchmid(nslip,6,6)
! RSS
real(8), intent(inout) :: tau(nslip)
! absolute value of RSS
real(8), intent(inout) :: abstau(nslip)
! sign of RSS
real(8), intent(in) :: signtau(nslip)
! CRSS
real(8), intent(in) :: tauc(nslip)
! Forest dislocation density
real(8), intent(in) :: rhofor(nslip)
! Burger's vector
real(8), intent(in) :: burgerv(nslip)
! time increment
real(8), intent(in) :: dt
! number of slip systems
integer, intent(in) :: nslip
! phase id
integer, intent(in) :: iphase
! temperature
real(8), intent(in) :: T
! slip parameters
real(8), intent(in) :: slipparam(maxnparam)
! irradiation model id
integer, intent(in) :: irradiationmodel
! irradiation model parameters
real(8), intent(in) :: irradiationparam(maxnparam)
! cubic slip for fcc
integer, intent(in) :: cubicslip
! c/a ratio for hcp materials
real(8), intent(in) :: caratio
! crss at the current time step
real(8), intent(in) :: X(nslip)
! plastic part of velocity gradient
real(8), intent(out) :: Lp(3,3)
! tangent matrix required for N-R iteration (at the inner loop)
real(8), intent(out) :: Pmat(6,6)
! slip rates
real(8), intent(inout) :: gammadot(nslip)
! absolute slip rates
real(8), intent(inout) :: absgammadot(nslip)
! Derivative of rss wrt slip rates
real(8), intent(out) :: dtau_dgammadot(nslip,nslip)
! Derivative of slip rates wrto rss
real(8) :: dgammadot_dtau(nslip)
! variables used within this subroutine
! absolute ratio of RSS/CRSS
real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max
integer :: is
real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0,
+ DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav
!
dtau_dgammadot = 0.
dgammadot_dtau = 0.
!
! Obtain slip parameters
! constant alpha
alpha0 = slipparam(1)
! constant beta
beta0 = slipparam(2)
! rhom0 - mobile dislocation density
rhom0 = slipparam(4)
! DeltaF - activation energy to overcome Pierls barrier
DeltaF = slipparam(5)
! nu0 - attempt frequency
nu0 = slipparam(6)
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
! Unit conversion factor for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
gamma0 = slipparam(7)*1.d-12
! AV0 - activation volume (if defined not=0)
! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa)
! The multiplier 1d-12 stands for unit conversion for beta
AV0 = slipparam(8)*1.d-12
!
!
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
! psi - fraction of mobile dislocations
! If there is no irradiation
if (irradiationmodel == 0) then
!
psi = slipparam(3)
!
elseif (irradiationmodel == 1) then
!
psi = irradiationparam(3)
elseif (irradiationmodel == 2) then
!
psi = slipparam(3)
!
endif
!
!
! Scale mobile dislocation density
rhom = psi * rhom0
!
!
endif
!
!
!
Pmat = 0.
Lp = 0.
! Loop through slip systems
do is = 1,nslip
!
!
! alpha calculation
!
! if alpha is defined parametrically
if (alpha0 == 0.) then
!
!
alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T)
!
! alpha is defined as a constant
else
!
alpha = alpha0
!
endif
!
!
!
! Activation volume calculation:
!
! if AV is defined parametrically
if (AV0 == 0.) then
!
!
if (useaveragestatevars == 0) then
!
! average spacing based on forest densities
lambda = 1./sqrt(rhofor(is))
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
elseif (useaveragestatevars == 1) then
!
! average forest density
rhoav = sum(rhofor)/nslip
!
! average spacing
lambda = 1./sqrt(rhoav)
!
! activation volume
AV = gamma0*lambda*burgerv(is)**2.
!
!
!
endif
!
! AV is defined as a constant
else
!
!
AV = AV0 * burgerv(is)**3.
!
!
!
end if
!
!
!
!
! beta calculation
!
! if beta is defined parametrically
if (beta0 == 0.) then
!
!
beta = AV/KB/T
!
! beta is defined as a constant
else
!
beta = beta0
!
!
endif
!
!
!
!
! c/a ratio correction for HCP
if(iphase == 3) then
! same burgers magnitude for first 1-6 and 25-30
! change only 7-24
if (is > 12) then
alpha = caratio*caratio*alpha
beta = caratio*caratio*beta
endif
end if
!
xtau=abstau/tauc
xtau_max=maxval(xtau)
xtau_norm=xtau/xtau_max
!
! This is critical threshold
if (((abstau(is) >= tauc(is))
+ .AND. (xtau_norm(is) .GT. 0.0))
+ .OR. (absgammadot(is) .GT. 1.0e-6)) then
!
! shear stress as a function of slip rate
!
dgammadot_dtau(is) = alpha*beta*
+ cosh(beta*(abstau(is)-tauc(is)))
abstau(is)=tauc(is)+
+ (1/beta)*asinh(absgammadot(is)/alpha)
!
tau(is)=abstau(is)*signtau(is)
!
!
dtau_dgammadot(is,is) = 1/(alpha*beta*
+ sqrt(absgammadot(is)**2*alpha**-2+1))
!
!
!
Pmat = Pmat + dt*dgammadot_dtau(is)*
+ SchmidxSchmid(is,:,:)
!
Lp = Lp + gammadot(is)*Schmid(is,:,:)
!
! else
!
! tau(is) = tauc(is)*signtau(is)
! absgammadot(is)=0.0
! gammadot(is)=0.0
! dtau_dgammadot(is,is) = 0.
!
end if
end do
!
!
return
end subroutine sinhslipreverse
!
!
!
!
end module slipreverse
================================================
FILE: OXFORD-UMAT v3.3/straingradients.f
================================================
! Jan. 1st, 2023
! Eralp Demir
!
module straingradients
implicit none
!
contains
!
!
!
!
!
! GND model-1
! GND calculation using curl of (Fp) together with L2 approximation
! Cumulative (total) calculation of GNDs
! Shutting down non-active slip systems followed by singular value decompostion
! Proposed by Chris Hardie
subroutine gndmodel1
use userinputs, only : maxnslip,
+ gndhomogenization, gndthreshold
use globalvariables, only : numel, numdim, numpt, nnpel,
+ materialid, numslip_all, numscrew_all, screw_all,
+ slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip,
+ eijk, I3, statev_curvature, statev_Lambda, statev_gammasum,
+ statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t
use utilities, only: matvec9
implicit none
! Local variables
integer matid, nslip, nscrew
! Some variables are allotable since material type can vary hence
! the NUMBER OF SLIP SYSTEMS can alter within the mesh
real(8) :: burgerv(maxnslip)
real(8) :: gammasum(maxnslip)
integer :: screw(maxnslip)
real(8) :: slip2screw(maxnslip,maxnslip)
real(8) :: dirc_0(maxnslip,3)
real(8) :: trac_0(maxnslip,3)
!
real(8) :: dirs(maxnslip,3)
real(8) :: tras(maxnslip*2,3)
real(8) :: Bmat(maxnslip*2,9)
real(8) :: rhoGND(maxnslip*2)
real(8) :: drhoGND(maxnslip*2)
!
real(8) :: grad_invN(3,numpt), grad(3,3,3)
real(8) :: Lambda(3,3), sum, Lambda_vec(9)
real(8) :: kappa(3,3), kappa_vec(9), trace
!
real(8) :: Fp_ip(numpt,3,3)
real(8) :: gmatinv(3,3)
!
integer :: i, j, k, l
integer :: ie, ip, is
!
!
!
!
! Loop through the elements
do ie=1,numel
!
! Reset arrays
burgerv=0.; screw=0
dirc_0=0.; trac_0=0.
dirs=0.; tras=0.
slip2screw=0.
!
!
!
!
! Assume the same material for al the Gaussian points of an element
matid = materialid(ie,1)
!
! Number of slip systems
nslip = numslip_all(matid)
!
! Number of screw systems
nscrew = numscrew_all(matid)
!
! Screw systems
screw(1:nscrew) = screw_all(matid,1:nscrew)
!
! Slip to screw mapping
slip2screw(1:nscrew,1:nslip) =
+ slip2screw_all(matid,1:nscrew,1:nslip)
!
! Burgers vector
burgerv(1:nslip) = burgerv_all(matid,1:nslip)
!
! undeformed slip direction
dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3)
!
! undeformed line direction
trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3)
!
!
! Store Fp for each IP
! Plastic part of the deformation gradient
Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3)
!
!
! Calculate the gradient of Fp
! Calculate the gradients using gradient operator
do ip = 1, numpt
!
!
! Reset arrays
Bmat=0.; rhoGND=0.; gammasum=0.
!
! Crystal to sample transformation matrix
gmatinv = statev_gmatinv_0(ie,ip,:,:)
!
!
! Slip rate per slip system
gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip)
!
!
do is = 1, nslip
! Transform slip directions to sample reference
dirs(is,:) = matmul(gmatinv, dirc_0(is,:))
!
! Transform line directions to sample reference
tras(is,:) = matmul(gmatinv, trac_0(is,:))
!
end do
!
!
! Calculate Bmatrix - using singular value decomposition
! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611.
call calculateBmatPINV(nslip,nscrew,
+ screw(1:nscrew), slip2screw(1:nscrew,1:nslip),
+ dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip),
+ gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9))
!
!
! Use gradients per integration point
if (gndhomogenization == 0) then
!
grad_invN = gradip2ip(ie,ip,:,:)
!
! Use the gradient at the element center
else
!
grad_invN = gradip2ip(ie,numpt+1,:,:)
!
end if
!
!
!
!
! grad(k,i,j) = Fp(i,j,k)
do k = 1,3
do j = 1,3
do i = 1,3
grad(k,i,j) =
+ dot_product(grad_invN(k,:),Fp_ip(:,i,j))
end do
end do
end do
!
!
! calculate curl
! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE
! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i)
! index "i" refers to the gradient direction
do k = 1,3
do l = 1,3
sum = 0.
do i = 1, 3
do j = 1, 3
sum = sum - eijk(i,j,k)*grad(i,l,j)
!! earlier version (no "-" sign)
! sum = sum + eijk(i,j,k)*grad(i,l,j)
end do
end do
Lambda(l,k) = sum
end do
end do
!
! Vectorize the incompatibility
call matvec9(Lambda,Lambda_vec)
!
!
! Assign the Incompatibility
statev_Lambda(ie,ip,:) = Lambda_vec
!
!
! Trace
trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3)
!
! Calculate curvature (negative transpose + trace term)
kappa = -transpose(Lambda) + I3 * trace / 2.
!
! Convert curvature to vector
call matvec9(kappa,kappa_vec)
!
!
! Assign curvature
statev_curvature(ie,ip,1:9) = kappa_vec(1:9)
!
!
!
!
! Reset arrays
rhoGND=0.; drhoGND=0.
!
! Compute the dislocation densities using L2 minimization
rhoGND(1:nslip+nscrew) =
+ matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec)
!
!
! Calculate the increment of GNDs
drhoGND(1:nslip+nscrew) =
+ rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew)
!
!
! Check for a threshold
do is = 1, nslip+nscrew
if (abs(drhoGND(is))nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
! L2 solution by KKT condition
! Assign zero initially
KKTmat = 0.
! Assign the identity part
do i = 1, nslip+nscrew
KKTmat(i,i)=2.
end do
!
! Assign A^T - upper right part
KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) =
+ transpose(Amat)
!
! Assign A - lower left part
KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) =
+ Amat
!
! Take the inverse
call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9)
!
! Set to zero if not invertible
if(any(BmatKKT /= BmatKKT)) then
! Set the outputs to zero initially
BmatKKT = 0.
! error message in .dat file
call error(10)
end if
!
!
!
!
!
!
return
end subroutine calculateBmatKKT
!
!
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv,
+ Bmat)
use utilities, only : nolapinverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: AmatAmatT(9,9)
real(8) :: invAmatAmatT(9,9)
real(8) :: s(3), l(3), b
integer :: i, j, is
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
!
end do
!
!
!
!
!
! Other solution (former method)
! -----------------------------------------------
! This is preserved to check its validity
! Right pseudo inverse is used
! This is exactly the same as the inversion by singular value decomposition
! Compute the L2 coefficient
AmatAmatT = matmul(Amat,transpose(Amat))
!
! Take the inverse
call nolapinverse(AmatAmatT,invAmatAmatT,9)
!
!
! Compute Bmat
Bmat = matmul(transpose(Amat),invAmatAmatT)
!
! Set to zero if not invertible
if(any(Bmat /= Bmat)) then
! Set the outputs to zero initially
Bmat = 0.
! error message in .dat file
call error(10)
end if
!
!
!
return
end subroutine calculateBmat
!
!
! Calculate Bmatrix using singular value decomposition
subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw,
+ dirs,tras,burgerv,gammadot,BmatPINV)
use userinputs, only: slipthreshold
use utilities, only: svdgeninverse
use errors, only: error
implicit none
! number of slip systems
integer, intent(in) :: nslip
! number of screw systems
integer, intent(in) :: nscrew
! screw systems
integer, dimension(nscrew), intent(in) :: screw
! slip to screw mapping
real(8), dimension(nscrew,nslip), intent(in) :: slip2screw
! slip direction in sample reference
real(8), dimension(nslip,3), intent(in) :: dirs
! transverse (to slip) direction in sample reference
real(8), dimension(nslip,3), intent(in) :: tras
! Burgers vector
real(8), dimension(nslip), intent(in) :: burgerv
! Cumulative slip per slip system
real(8), dimension(nslip), intent(in) :: gammadot
! Rank Deficit B-matrix
real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV
!
! Local variables used within this subroutine
! Note A^T*A is rank deficit
real(8) :: Amat(9,nslip+nscrew)
real(8) :: gdot_screw(nscrew)
! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew)
! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew)
real(8) :: s(3), l(3), b
integer :: i, j, is, err
!
! Construct Nye's tensor
Amat=0.
! Loop through dislocation configurations
do i = 1, nslip+nscrew
!
!
! Slip direction
! For screws
if (i>nslip) then
is = screw(i-nslip)
s = dirs(is,:)
l = dirs(is,:)
b = burgerv(is)
! For edges
else
s = dirs(i,:)
l = tras(i,:)
b = burgerv(i)
end if
!
!
! The ordering of Amat is as follows:
! 11-12-13-21-22-23-31-32-33
Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b
Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b
Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b
Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b
Amat(9,i)=s(3)*l(3)*b
end do
!
!
! Sum slip on each system sharing common screw types
gdot_screw= matmul(slip2screw,gammadot)
!
!
! Shut down the slip systems
! that have a cumulative slip
! less than 10^-10
! For edge type of dislocations
do is = 1, nslip
!
if (abs(gammadot(is)) cubicslipystem flag
! material-08: zirconium / hcp / phase-3
! material-09: berylium / hcp / phase-3 (not ready yet)
! material-10: alpha-uranium / alphauranium / phase-4
! material-11: copper / UKAEA / Vikram Phalke
! material-12: CuCrZr / UKAEA / Vikram Phalke
! material-13: Eurofer-97 / HRI-summer internship programme / Yunzhou Bai
! material-14: Cu and CuCrZr / UKAEA / Vikram Phalke
!
!
!
! **********************************************
! ** MATERIALPARAMETERS sets the material **
! ** constants for elasticity and plasticity **
! **********************************************
subroutine materialparam(imat,temperature,
+ iphase,nslip,nscrew,caratio,cubicslip,Cc,
+ gf,G12,v12,alphamat,burgerv,
+ tauc_0,rho_0,rhofor_0,rhosub_0,
+ slipmodel,slipparam,creepmodel,creepparam,
+ hardeningmodel,hardeningparam,
+ irradiationmodel,irradiationparam,
+ sintmat1,sintmat2,hintmat1,hintmat2,
+ backstressparam)
use errors, only : error
use userinputs, only : maxnslip, maxnparam
implicit none
!
! material id
integer, intent(in) :: imat
!
!
! current temperature in Kelvins
real(8), intent(in) :: temperature
!
! phase id
! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium
integer, intent(out) :: iphase
!
! number of slip systems
integer, intent(out) :: nslip
!
! number of screw systems
integer, intent(out) :: nscrew
!
! c/a ratio for hcp crystals
real(8), intent(out) :: caratio
!
! cubic slip for fcc superalloys
integer, intent(out) :: cubicslip
!
! elastic stiffness matrix in the crystal reference frame
real(8), intent(out) :: Cc(6,6)
!
! shear modulus for Taylor's dislocation law
real(8), intent(out) :: G12
!
! Poisson's ratio
real(8), intent(out) :: v12
!
! geometric factor for obstacle strength
real(8), intent(out) :: gf
!
! thermal eigenstrain to model thermal expansion
real(8), intent(out) :: alphamat(3,3)
!
! burgers vectors
real(8), intent(out) :: burgerv(maxnslip)
!
! critical resolved shear stress of slip systems
real(8), intent(out) :: tauc_0(maxnslip)
!
! initial ssd dislocation density
real(8), intent(out) :: rho_0(maxnslip)
!
! initial forest dislocation density
real(8), intent(out) :: rhofor_0
!
! initial substructure dislocation density
real(8), intent(out) :: rhosub_0
!
! Slip model identifier
! 0: no slip (if only creep is considered)
! 1: sinh law
! 2: double exponent law
! 3: power law
integer, intent(out) :: slipmodel
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: slipparam(maxnparam)
! For sinh law (slipmodel=1)
! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined,
! the alpha calculation will be ignored
! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined,
! the beta calculation will be ignored
! 3: psi / fraction of mobile dislocations / [-] / alpha calculation
! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation
! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation
! 6: nu0 / attempt frequency / [1/s] / alpha calculation
! 7: gamma0 / reference slip strain / [-] / beta calculation
!
! For double exponent law (slipmodel=2)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: p / inner exponent / [-]
! 3: q / outer exponent / [-]
! 4: DeltaFoct / activation energy for octahedral slip / [J/mol]
! 5: DeltaFcub / activation energy for cubic slip / [J/mol]
!
! For power law (slipmodel=3)
! 1: gammadot0 / refence slip rate / [1/s]
! 2: n / power exponent / [-]
! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K]
!
!
! Creep model identifier
! 0: no creep
! 1: exponential creep law
! Default value is set to 0
integer, intent(out) :: creepmodel
! Creep parameters
! Array size adjustable
real(8), intent(out) :: creepparam(maxnparam)
!
! Hardening identifier
! 0: Hardening is off (tauc constant)
! 1: Voce type hardening
! 2: Linear hardening
! 3: Kocks-Mecking hardening
! 4: Kocks-Mecking hardening with substructure
! Default value is set to 0
integer, intent(out) :: hardeningmodel
! Hardening parameters
! Array size adjustable
real(8), intent(out) :: hardeningparam(maxnparam)
!
! Irradiation identifier
! 0: Irradiaion is off
! 1: Irradiation is on
! Default value is set to 0
integer, intent(out) :: irradiationmodel
! Irradiation model parameters
! Array size adjustable
real(8), intent(out) :: irradiationparam(maxnparam)
! 1: tau_s0: initial solute strength
! 2: gamma_s: saturation value of the cumulative slip
! 3: psi / fraction of mobile density for irradiated material for sinh law
!
! Interaction matrices
! Strength interaction between dislocations
real(8), intent(out) :: sintmat1(maxnslip,maxnslip)
! Strength interaction dislocation loops related with irradiation
real(8), intent(out) :: sintmat2(maxnslip,maxnslip)
! Latent hardening
real(8), intent(out) :: hintmat1(maxnslip,maxnslip)
! Hardening interaction matrix between dislocations
real(8), intent(out) :: hintmat2(maxnslip,maxnslip)
!
! Slip parameters
! Array size adjustable
real(8), intent(out) :: backstressparam(maxnparam)
!
! burgers vector scalars
real(8) :: burger1, burger2
!
! elastic constants scalars
real(8) :: e1, e2, e3, g13, v13
real(8) :: g23, v23, v21, v31, v32
!
! critical resolved shear stress
real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5
!
! thermal expansion coefficients
real(8) :: alpha1, alpha2, alpha3
!
! temperature in celsius
real(8) :: tcelsius
!
real(8) :: C11, C12, C44, cst, C11_
!
! local variable for identity martrix
real(8) :: kdelta(maxnslip,maxnslip), q1, q2
!
integer :: i, j, k, is, js
!
!
!
! Set potentially unassigned parameters to zero
! Slip parameters
slipparam = 0.
! Creep parameters
creepparam = 0.
! Hardening parameters
hardeningparam = 0.
! Irradiation parameters
irradiationparam = 0.
! Backstress parameters
backstressparam = 0.
!
!
! Interaction matrices
! Initially set all to zero
sintmat1=0.
sintmat2=0.
hintmat1=0.
hintmat2=0.
!
do is = 1, maxnslip
sintmat1(is,is)=1.
sintmat2(is,is)=1.
hintmat1(is,is)=1.
hintmat2(is,is)=1.
end do
!
!
! Temperature in Celcius
tcelsius = temperature - 273.15
!
!
!
!
!
!
!
!
!
! select material type
select case(imat)
!
! custom material - bcc (i.e. ferrite)
! no temperature dependence
case(1)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy
slipparam(5) = 4.646312d-20
! nu0 - attempt frequency
slipparam(6) = 1.0d+11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! Activation volume (factor of Burgers vector^3)
slipparam(8) = 1.
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 60.
! xtauc1 = 45.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! custom material - fcc (i.e. copper)
! no temperature dependence
case(2)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 3
!
! copper
! Slip model parameters
slipparam(1) = 1.0d-3
! rate sensitivity exponent
! slipparam(2) = 83.333
slipparam(2) = 20.
!
!! Inverse slip test parameters
!! Slip model parameters
! slipparam(1) = 1.0d-9
!! rate sensitivity exponent
! slipparam(2) = 13.
!
!! steel
!! Slip model parameters
! slipparam(1) = 1.0d-3
!! rate sensitivity exponent
! slipparam(2) = 7.143
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
!! steel
! xtauc1 = 32.
!
! Copper
xtauc1 = 16.
!
!! Inverse slip test parameter
! xtauc1 = 32.
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
! Example elastic modulus values
! **********************************************************
!
! copper
! "Texture and Anisotropy",
! Cambridge University Press, 1998, page 300
! C11=168.0d3
! C12=121.4d3
! C44=75.4d3
!
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=166.1d3
! C12=199.0d3 wrong! correct value: 119.0d3
! C44=75.6d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=168.3d3
! C12=122.1d3
! C44=75.7d3
!
! aluminum
! "The Mechanics of Crystals and Textured Polycrystals",
! Oxford University Press, 1993, page 16
! C11=107.3d3
! C12=60.9d3
! C44=28.3d3
!
! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38
! C11=106.75d3
! C12=60.41d3
! C44=28.34d3
!
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=106.43d3
! C12=60.35d3
! C44=28.21d3
!
! steel-austenite
! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005
! page 1765, Eq. (37)
! C11=268.5d3
! C12=156.d3
! C44=136.d3
!
! steel
! C11=204.6d3
! C12=137.7d3
! C44=126.6d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!! E=100 GPa and nu=0.3
! C11 = 134.6154d3
! C12 = 57.6923d3
! C44 = 38.4615d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 1
!
!! Kocks-Mecking hardening with substructure evolution
!! Reference: https://doi.org/10.1016/j.actamat.2010.06.021
!!
!! hardening model
! hardeningmodel = 4
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!! q - substructure
! hardeningparam(7) = 4.
!! f - substructure
! hardeningparam(8) = 20.
!! ksub - substructure
! hardeningparam(9) = 0.086
!
!
!! Inverse slip test parameter
! hardeningmodel = 0
!
!
! copper
! Hardening rate - h0
hardeningparam(1)=250.
! Saturation strength for slip - ss
hardeningparam(2)=190.
! Hardening exponent - a
hardeningparam(3)=2.5
! Latent hardening coefficient - q
hardeningparam(4)=1.4
!
!
!! steel
!! Hardening rate - h0
! hardeningparam(1)=217.8
!! Saturation strength for slip - ss
! hardeningparam(2)=257.
!! Hardening exponent - a
! hardeningparam(3)=2.5
!! Latent hardening coefficient - q
! hardeningparam(4)=1.1
!
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Hardening interactions - latent hardening
hintmat1 = hardeningparam(4)
do k = 1, int(nslip/3.)
do i = 1, 3
do j = 1, 3
hintmat1(3*(k-1)+i, 3*(k-1)+j)=1.
enddo
enddo
enddo
!
! Backstress parameter
backstressparam(1) = 0.25
!
! custom material - hcp (i.e. zirconium)
! no temperature dependence
case(3)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.
! fraction of mobile dislocations
slipparam(3) = 1.
! reference mobile dislocations (1/micrometer^2)
slipparam(4) = 0.01
! activation energy for slip (J)
slipparam(5) = 5.127d-20
! attempt frequency
slipparam(6) = 1.d11
! scaling for jump distance
slipparam(7) = 1.
! activation volume
slipparam(8) = 20.93
!
!
!
! Geometric factor (0.1-0.5)
gf = 0.22364
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 30
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 10.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 3.2d-4
burger2 = 6.0d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 98.32d3
e3 = 123.28d3
g12 = 32.01d3
v12 = 0.40
v13 = 0.24
!
! crss [MPa]
xtauc1 = 187.7 ! basal
xtauc2 = 140.8 ! prismatic
xtauc3 = 140.8 ! pyramidal
xtauc4 = 489.8 ! pyramidal-1
xtauc5 = 2449.1 ! pyramidal-2
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g13 = e3/(1.+v13)/2.
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:30) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc3
tauc_0(13:24) = xtauc4
tauc_0(25:30) = xtauc5
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
! linear hardening
hardeningmodel = 2
! hardening parameter (1/micrometer^2)
hardeningparam(1) = 2600.
!
! irradiation model
irradiationmodel = 2
! Irradiation parameters
! Number of different types of defects
irradiationparam(1) = 3.
! Number density of defects (1/micrometer^3)
irradiationparam(2:4) = 2.033d+4
! size of defects (micrometer)
irradiationparam(5:7) = 1.4d-3
! defect vectors (crystallographic directions)
irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /)
! Strength interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(11) = 1.25
! when a not equals 0
irradiationparam(12) = 1.875
! Hardening (Softening) interaction matrix coefficients (two independent parameters)
! when a=0 (a: reaction segment)
irradiationparam(13) = 0.5
! when a not equals 0
irradiationparam(14) = 0.
!
!
!
!
!
! tungsten - bcc
case(4)
!
! Phase id
iphase = 1
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Burgers vectors [micrometers]
burger1 = 2.74d-4
!
! Slip model parameters
! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001
! constant alpha
slipparam(1) = 0.
! constant beta
slipparam(2) = 0.0159
! psi - fraction of mobile dislocations
slipparam(3) = 0.727d-2
! rhom0 - mobile dislocation density
slipparam(4) = 0.035
! DeltaF - activation energy to overcome Pierls barrier
slipparam(5) = 3.524788e-20
! nu0 - attempt frequency
slipparam(6) = 1.0d11
! gamma0 - multiplier for activation volume
! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4)
slipparam(7) = 0.
! AV0
slipparam(8) = 0.
!
! Geometric factor (0.1-0.5)
gf = 0.1
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 4
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 360.0 ! 900 MPa in the reference
!
! elastic constants [MPa]
e1 = 421d3
g12 = 164.4d3
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 2
hardeningparam(1) = 1000.
!
! irradiation model
irradiationmodel = 1
! irradiation parameters
! initial strength
irradiationparam(1) = 750.
! solute strength saturation strain
irradiationparam(2) = 0.025
! factor for mobile density
irradiationparam(3) = 3.457d-2
!
!
!
!
! copper - fcc
case(5)
!
! Phase id
iphase = 2
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.02
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 6
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 20.0
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! Burgers vectors [micrometers]
burger1 = 2.55d-4
!
! elastic constants [MPa]
e1 = 66.69d3
v12 = 0.4189
g12 = 75.4d3
!
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! thermal expansion coefficients
alpha1 = 13.0d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
burgerv(1:nslip)=burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
!
! hardening model
hardeningmodel = 0
!
!
! irradiation model
irradiationmodel = 0
!
!
!
! carbide - fcc
case(6)
!
! Phase id
iphase = 2
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d-3
! Rate sensitivity exponent
slipparam(2) = 50
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 2300.0
!
! Burgers vectors [micrometers]
burger1 = 3.5072d-4
!
! elastic constants [MPa]
e1 = 207.0d4
v12 = 0.28
!
! thermal expansion coefficients
alpha1 = 4.5d-6
alpha2 = alpha1
alpha3 = alpha1
!
!
! elastic constants based on crystal symmetry
e3 = e1
e2 = e1
v13 = v12
v23 = v12
g12 = e1/(2.0*(1.0+v12))
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
!
! CMSX-4 - fcc + cubic
case(7)
!
! Phase id
iphase = 2
!
! Slip model
! Double exponent law
slipmodel = 2
!
! Slip model parameters
! Reference strain rate
slipparam(1) = 1.0d7
! Inner exponent
slipparam(2) = 0.78
! Outer exponent
slipparam(3) = 1.15
! Activation energy for octahedral slip (J)
slipparam(4) = 9.39d-19
! Activation energy for cubic slip (J)
slipparam(5) = 1.17d-18
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! Screw systems
nscrew = 6
!
!
!
! number of slip systems
if (cubicslip == 0) then
nslip = 12
elseif (cubicslip == 1) then
nslip = 18
else
call error(3)
end if
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! crss [MPa]
if (tcelsius <= 850.0) then ! temperature in celsius
!
tauc_0=-0.000000001051*tcelsius**4 +
+ 0.000001644382*tcelsius**3 -
+ 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius +
+ 446.547978926622
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.000000001077*tcelsius**4 +
+ 0.000001567820*tcelsius**3 -
+ 0.000686532147*tcelsius**2 -
+ 0.074981918833*tcelsius +
+ 571.706771689334
!
end if
!
else
!
tauc_0=-1.1707*tcelsius + 1478.9
!
if (cubicslip == 1) then
!
tauc_0(13:18)=-0.9097*tcelsius + 1183
!
end if
!
end if ! end temperature check
!
! tcelsius dependent stiffness constants [MPa]
if (tcelsius <= 800.0) then ! celsius units
!
c11=-40.841*tcelsius+251300
c12=-14.269*tcelsius+160965
!
else
!
c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0
c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 -
+ 1537.5*tcelsius+716000
!
end if ! end temperature check
!
g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 -
+ 38.3179*tcelsius+129864
!
e1 = (c11-c12)*(c11+2*c12)/(c11+c12)
v12 = e1*c12/((c11-c12)*(c11+2*c12))
!
! temperature dependent thermal expansion coefficient
alpha1 = 9.119d-9*tcelsius +1.0975d-5
!
! Eralp: Burgers vector was not defined for this
burger1=2.56d-4
!
! elastic constants based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
! assign Burgers vector scalars
burgerv(1:nslip) = burger1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 1
!
! hardening model
hardeningmodel = 0
!
! creep parameters
! reference rate for creep (1/s)
creepparam(1) = 4.0d+8
! stress multiplier for creep (1/MPa)
creepparam(2) = 3.2d-2
! activation energy for creep (J/mol)
creepparam(3) = 460000.
! reference rate for damage (1/s)
creepparam(4) = 6.0d6
! stress multiplier for damage (1/MPa)
creepparam(5) = -5.0d-8
! activation energy for damage (J/mol)
creepparam(6) = 340000.
!
! irradiation model
irradiationmodel = 0
!
!
! zirconium - hcp
case(8)
!
! Phase id
iphase = 3
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 9
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 15.2 ! basal
xtauc2 = 67.7 ! prismatic
xtauc4 = 2000.0 ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 9.5d-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger2
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Material constants by Alvaro Martinez Pechero
! Berilyum - hcp
case(9)
!
! Phase id
iphase = 3
!
!
! Slip model
! sinh law
slipmodel = 1
!
! Slip model parameters
! constant alpha
slipparam(1) = 0.1
! constant beta
slipparam(2) = 0.1
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
!
! number of slip systems
nslip = 12
!
! Screw systems
nscrew = 3
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burger1 = 2.28d-4
burger2 = 4.242d-4 ! sqrt(a^2 + c^2)
!
!
! elastic constants [MPa]
e1 = 289.38d3
e3 = 335.17d3
g12 = 132.80d3
g13 = 162.50d3
v12 = 0.09
v13 = 0.04
!
! crss [MPa]
xtauc1 = 20.2 ! basal
xtauc2 = 88.7 ! prismatic
xtauc4 = 188. ! pyramidal
!
! thermal expansion coefficients [1/K]
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
!
! elastic constants based on crystal symmetry
e2 = e1
g23 = g13
v23 = v13
!
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger1
!
! assign crss
tauc_0(1:3) = xtauc1
tauc_0(4:6) = xtauc2
tauc_0(7:12) = xtauc4
!
! c/a ratio
caratio = 1.57
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
!
! alpha-uranium - alphauranium
case(10)
!
! Phase id
iphase = 4
!
! Slip model
! power law
slipmodel = 3
!
! Slip model parameters
! reference strain rate
slipparam(1) = 1.0d-3
! rate sensitivity exponent
slipparam(2) = 20.
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
! number of slip systems
nslip = 8
!
! Screw systems
nscrew = 0
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 0.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! Burgers vectors [micrometers]
burgerv(1:2) = 2.85d-4
burgerv(3:4) = 6.51d-4
burgerv(5:8) = 11.85d-4
!
! constant factor tau_0^alpha for crss [MPa]
! calhoun 2013 values
! with temperature dependence as in zecevic 2016
! added after hardening is included
tauc_0(1) = 24.5
tauc_0(2) = 85.5
tauc_0(3) = 166.5
tauc_0(4) = 166.5
tauc_0(5) = 235.0
tauc_0(6) = 235.0
tauc_0(7) = 235.0
tauc_0(8) = 235.0
!
!
!
! elastic moduli [MPa] and poissons ratios
! see prs literature review by philip earp
! short crack propagation in uranium, an anisotropic polycrystalline metal
! temperature dependence according to daniel 1971
e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0))
e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0))
e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0))
v12 = 0.242363
v13 = -0.016293
v23 = 0.387816
g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0))
g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0))
g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0))
!
! define thermal expansion coefficients as a function of temperature
! lloyd, barrett, 1966
! thermal expansion of alpha uranium
! journal of nuclear materials 18 (1966) 55-59
alpha1 = 24.22d-6 - 9.83d-9 * temperature +
+ 46.02d-12 * temperature * temperature
alpha2 = 3.07d-6 + 3.47d-9 * temperature -
+ 38.45d-12 * temperature * temperature
alpha3 = 8.72d-6 + 37.04d-9 * temperature +
+ 9.08d-12 * temperature * temperature
!
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 0
!
! irradiation model
irradiationmodel = 0
!
! UKAEA - Vikram Phalke
! copper - fcc
! no temperature dependence
case(11)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! Copper
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model
hardeningmodel = 5
!
!
!
!
!
! copper
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! UKAEA - Vikram Phalke
! CuCrZr - fcc
! no temperature dependence
case(12)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! power law
slipmodel = 1
!
! copper
! Slip model parameters
slipparam(1) = 2.0d-5
! rate sensitivity exponent
slipparam(2) = 1.
!
!
! Geometric factor (0.1-0.5)
gf = 0.2
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density [1/micrometer^2]
rho_0(1:nslip) = 14.98
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! CuCrZr
xtauc1 = 84.6
!
!
! Burgers vectors [micrometer]
burger1 = 2.56d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model (KM with precipitates)
hardeningmodel = 5
!
!
!
!
!
! CuCrZr
! Hardening rate - k1
hardeningparam(1)=0.06
! Softening rate - k2
hardeningparam(2)=35.
! Latent hardening coefficient - q1
hardeningparam(3)=1.35
! Latent hardening coefficient - q2
hardeningparam(4)=1.2
!
! Parameters related to precipitate strengthening
! Geometric/Strength factor for precipitates
hardeningparam(5)=0.08
! Number density of precipitates [1/micrometer^3]
hardeningparam(6)=1.76d6
! Particle diameter [micrometer]
hardeningparam(7)=3.2d-3
!
!! hardening model
! hardeningmodel = 3
!!
! hardeningparam = 0.
!! k1 - forest hardening
! hardeningparam(1) = 40.d-4
!! k2 - forest annihilation
! hardeningparam(2) = 1.
!
!
! irradiation model
irradiationmodel = 0
!
!
! Define Kronecker delta
kdelta = 0.
do is=1,nslip
kdelta(is,is)=1.
end do
!
q1=hardeningparam(3)
q2=hardeningparam(4)
hintmat1=0.
! Define the hardening interaction matrix
do is=1,nslip
do js=1,nslip
hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js)
end do
end do
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
! EUROFER steel material model - bcc (i.e. ferrite)
! Developed by Yunzhou Bai
!
case(13)
!
! Slip model
! sinh law
slipmodel = 1
!
!
! Phase id
iphase = 1
!
! This can be 12 or 24
nslip = 12
!
!
! constant alpha
slipparam(1) = 0.01
! constant beta
slipparam(2) = 0.01
!
! Geometric factor (0.1-0.5)
gf = 0.25
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! Screw systems
nscrew = 4
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density
rho_0(1:nslip) = 1.
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
xtauc1 = 1.
!
!
! Burgers vectors [micrometers]
burger1 = 2.48d-4
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Example elastic modulus values
! **********************************************************
!
! steel-ferrum
! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982
! C11=230.1d3
! C12=134.6d3
! C44=116.6d3
!
! steel-ferrite
! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies
! of the martensite lattice and mechanism of diffusionless transformation"
! page 1087
! C11=233.5d3
! C12=135.5d3
! C44=118.0d3
!
! **********************************************************
!
! Cubic elastic constants [MPa]
! Value used for ferrite grains
C11=233.5d3
C12=135.5d3
C44=118.0d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
!
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
!
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio=1.
!
!
! creep model
creepmodel = 0
!
! hardening model
hardeningmodel = 6
! k1 - hardening parameter
hardeningparam(1) = 1.d-3
! k2 - softening parameter
hardeningparam(2) = 20.
! D - lath spacing (micrometers)
hardeningparam(3) = 1.
!
! irradiation model
irradiationmodel = 0
!
!
!
!
!
! UKAEA - Vikram Phalke
! Cu and CuCrZr - fcc
! no temperature dependence
case(14)
!
! Phase id
iphase = 2
!
!
!
! Slip model
! Sinh law
slipmodel = 1
!
! copper
! Constant parameter : alpha
slipparam(1) = 2.d-5
! Constant parameter : beta
slipparam(2) = 1.5
!
!
! Geometric factor (0.1-0.5)
gf = 0.05
!
!
! cubic slip system flag
! 0: inactive / 1: active
cubicslip = 0
!
!
! This is 12 for fcc
nslip = 12
!
! Screw systems
nscrew = 6
!
!
!
! Initialize arrays
burgerv = 0.
tauc_0 = 0.
rho_0 = 0.
!
! Initial value of SSD density [1/mili-meter^2]
rho_0(1:nslip) = 0.1498e+6
!
!
! Initial value of forest density (hardening model-4)
rhofor_0 = 0.
!
! Initial value of substructure density (hardening model-4)
rhosub_0 = 0.
!
! crss [MPa]
!
! CuCrZr
xtauc1 = 1.
!
!
! Burgers vectors [mili-meter]
burger1 = 2.56d-7
!
!
! thermal expansion coefficients
alpha1 = 0.
alpha2 = 0.
alpha3 = 0.
!
!
! Cubic elastic constants [MPa]
! Value used for copper
C11 = 170.d3
C12 = 124.d3
C44 = 75.d3
!
! re-calculate elastic constants
e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12)
v12 = C12/(C11 + C12)
g12 = C44
!
! assign the values based on crystal symmetry
e2 = e1
e3 = e1
v13 = v12
v23 = v12
g13 = g12
g23 = g12
!
!
! assign burgers vector scalars
burgerv(1:nslip) = burger1
! assign crss: same for all slip systems
tauc_0(1:nslip) = xtauc1
!
! c/a ratio for hcp crystals
! dummy output
caratio = 1.
!
! creep model
creepmodel = 0
!
!
!
! hardening model (KM with precipitates)
hardeningmodel = 7
!
!
!
!
!
! CuCrZr
! Hardening rate - k1
hardeningparam(1)=12.
! Softening rate - k2
hardeningparam(2)=60.
! Parameters related to precipitate strengthening
! Geometric/Strength factor for dislocation type defect - alphan
hardeningparam(3)=gf
! Number density of precipitates density [1/mili-meter^3] Pm : 1/lambda^3: lambda=19.7nm
hardeningparam(4)=1.3d+5
! alpham
hardeningparam(5)=0.125
!
!
! irradiation model
irradiationmodel = 0
!
!
!
!
! Backstress parameter
backstressparam(1) = 0.
!
!
!
!
case default
!
call error(1)
!
end select
!
! *** set up elastic stiffness matrix in lattice system ***
! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11
! however, the voigt notation in abaqus for strain and stress vectors
! has the following order:
! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23)
! Calculate the remaining Poisson's ratios
v21 = e2/e1*v12
v31 = e3/e1*v13
v32 = e3/e2*v23
!
! constant as a factor
cst = 1./(1.-v12*v21-v23*v32-v31*v13
+ -2.*v21*v32*v13)
!
Cc=0.
Cc(1,1) = e1*(1.-v23*v32)*cst
Cc(2,2) = e2*(1.-v13*v31)*cst
Cc(3,3) = e3*(1.-v12*v21)*cst
Cc(1,2) = e1*(v21+v31*v23)*cst
Cc(1,3) = e1*(v31+v21*v32)*cst
Cc(2,3) = e2*(v32+v12*v31)*cst
Cc(4,4) = g12
Cc(5,5) = g13
Cc(6,6) = g23
!
! symmetrize compliance matrix
Cc(2,1) = Cc(1,2)
Cc(3,1) = Cc(1,3)
Cc(3,2) = Cc(2,3)
!
!
!
! define thermal eigenstrain in the lattice system
alphamat=0.
alphamat(1,1) = alpha1
alphamat(2,2) = alpha2
alphamat(3,3) = alpha3
!
!
!
!
return
!
end subroutine materialparam
!
!
!
!
!
end module usermaterials
================================================
FILE: OXFORD-UMAT v3.3/useroutputs.f
================================================
! Nov. 11th, 2022
! Eralp Demir
!
! This is written to define the outputs for post-processing
!
module useroutputs
implicit none
!
!
! GLOBAL VARIABLES USED IN POST-PROCESSING
! -------------------------------------------------------------------------------
!
! Flags for different outputs (22-30 custom outputs)
integer, public :: statev_outputs(30)
!
! Set the desired outputs by setting 0 / 1
! in the "defineoutputs" subroutine in the below!
!
!
!
! Number of outputs - will be computed
integer, public :: nstatv_outputs
!
!
! -------------------------------------------------------------------------------
!
contains
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine defineoutputs
!
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
! Variables used in the subroutine
integer :: i, ind
!
!
! List of variables
! Set the flag to "1" if requested
!
! 1st State-variable output / number of outputs: 9
! Crystal to Sample tranformation: statev_gmatinv
statev_outputs(1) = 0
!
! 2nd State-variable output / number of outputs: 1
! Equivalent Von-Mises plastic total strain: statev_evmp
statev_outputs(2) = 0
!
! 3rd State-variable output / number of outputs: 1
! Maximum ratio of rss to crss: statev_maxx
statev_outputs(3) = 0
!
! 4th State-variable output / number of outputs: 6
! Elastic strains in the crystal frame: statev_Eec
statev_outputs(4) = 0
!
! 5th State-variable output / number of outputs: 9
! Lattice curvature: statev_curvature
statev_outputs(5) = 0
!
! 6th State-variable output / number of outputs: 1
! Total statistically-stored dislocation density: statev_ssdtot
statev_outputs(6) = 0
!
! 7th State-variable output / number of outputs: 1
! Substructure dislocation density: statev_substructure
statev_outputs(7) = 0
!
! 8th State-variable output / number of outputs: 1
! Solute strength: statev_tausolute
statev_outputs(8) = 0
!
! 9th State-variable output / number of outputs: 1
! Cumulative slip: statev_totgammasum
statev_outputs(9) = 0
!
! 10th State-variable output / number of outputs: maxnslip
! Total slip per slip system: statev_gammasum
statev_outputs(10) = 1
!
! 11th State-variable output / number of outputs: maxnslip
! Slip rate: statev_gammadot
statev_outputs(11) = 0
!
! 12nd State-variable output / number of outputs: maxnslip
! Critical Resolved Shear Stress: statev_tauc
statev_outputs(12) = 0
!
! 13rd State-variable output / number of outputs: maxnslip
! Statistically-Stored Dislocation Density: statev_ssd
statev_outputs(13) = 0
!
! 14th State-variable output / number of outputs: maxnslip*2
! Geometrically Necessary Dislocation Density: statev_gnd
statev_outputs(14) = 0
!
! 15th State-variable output / number of outputs: maxnslip
! Foresty Dislocation Density: statev_forest
statev_outputs(15) = 0
!
! 16th State-variable output / number of outputs: maxnloop
! Defect Loop Density: statev_loop
statev_outputs(16) = 0
!
! 17th State-variable output / number of outputs: maxnslip
! Backstress: statev_backstress
statev_outputs(17) = 0
!
! 18th State-variable output / number of outputs: 1
! Total GND density
statev_outputs(18) = 0
!
! 19th State-variable output / number of outputs: 1
! Plastic dissipation power density
statev_outputs(19) = 0
!
! 20st State-variable output / number of outputs: 1
! Fatemi Socie parameter
statev_outputs(20) = 0
!
! 20st State-variable output / number of outputs: 1
! Strain along a crystallographic plane - hkl
! hkl is defined in the assignoutputs subroutine
statev_outputs(21) = 0
!
! 22nd State-variable output / number of outputs: maxnslip
! Active slip systems
statev_outputs(22) = 0
!
! 23rd State-variable output / number of outputs: 1
! Rotation
statev_outputs(23) = 0
!
! 24-30 custom outputs
! Need to be defined here!
statev_outputs(24) = 0
statev_outputs(25) = 0
statev_outputs(26) = 0
statev_outputs(27) = 0
statev_outputs(28) = 0
statev_outputs(29) = 0
statev_outputs(30) = 0
!
!
!
!
!
!
!
! Count the user-defined outputs
nstatv_outputs=0
! Find the total number of state variable outputs
if (statev_outputs(1)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(2)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(3)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(4)==1) then
nstatv_outputs=nstatv_outputs+6
endif
if (statev_outputs(5)==1) then
nstatv_outputs=nstatv_outputs+9
endif
if (statev_outputs(6)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(7)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(8)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(9)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(10)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(11)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(12)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(13)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(14)==1) then
nstatv_outputs=nstatv_outputs+maxnslip*2
endif
if (statev_outputs(15)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(16)==1) then
nstatv_outputs=nstatv_outputs+maxnloop
endif
if (statev_outputs(17)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(18)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(19)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(20)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(21)==1) then
nstatv_outputs=nstatv_outputs+1
endif
if (statev_outputs(22)==1) then
nstatv_outputs=nstatv_outputs+maxnslip
endif
if (statev_outputs(23)==1) then
nstatv_outputs=nstatv_outputs+1
endif
!
!
! Custom outputs need to be filled here!
!
!
!
!
!
end subroutine defineoutputs
!
!
!
!
! *******************************************************
! * This routine writes error statements in case *
! * execution terminate or continue! *
! *******************************************************
subroutine checkoutputs(nstatv)
use errors, only: error
implicit none
! Number of state variables
integer, intent(in) :: nstatv
!
! Check if defined correctly
if (nstatv_outputs > nstatv) then
write(*,*) 'There are ',
+ nstatv_outputs, ' number of outputs!'
write(*,*) 'But, ',
+ nstatv, ' number of outputs were defined in DEPVAR!'
! error message in .dat file
call error(6)
end if
!
end subroutine checkoutputs
!
!
!
!
!
!
!
subroutine write_statev_legend
use userinputs, only : maxnslip, maxnloop
!
implicit none
!
integer count, i
character*2 ij
!
! Write the legend of the output variables (nstatv)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maximum ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: cumulative slip (x1)
! 10: total slip per slip system (x maxnslip)
! 11: slip rates per slip system (x maxnslip)
! 12: CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: GND density (x1)
! 19: Plastic dissipation power density (x1)
! 20: Fatemi Socie parameter (x1)
! 21: Lattice strain projections along hkl (x1)
! 22: Slip system activity (x maxnslip)
! 23: Rotation (x 1)
! 24-30: Custom outputs
!
!
!
!
!
!
count = 0
open(100,file='../STATEV_legend.txt',action='write',
+ status='replace')
!
!
!
!
!
!
!
! State variable-1
if (statev_outputs(1) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A37,A2,A4)')
+ 'STATEV-', count,
+ ': Crystal to Sample transformation -', ij, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-2
if (statev_outputs(2) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A39,A4)')
+ 'STATEV-', count,
+ ': Equivalent Von-Mises plastic strain', ' [-]'
!
!
!
!
endif
!
!
! State variable-3
if (statev_outputs(3) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A32,A4)')
+ 'STATEV-', count,
+ ': Maximum ratio of rss to crss', ' [-]'
!
!
!
!
endif
!
!
!
! State variable-4
if (statev_outputs(4) == 1) then
!
do i = 1, 6
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'yy'
case(3)
ij = 'zz'
case(4)
ij = 'xy'
case(5)
ij = 'xz'
case(6)
ij = 'yz'
!
end select
!
!
!
write(100,'(A7,I3,A36,A2,A6)')
+ 'STATEV-', count,
+ ': Elastic strain in crystal frame-', ij, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
!
! State variable-5
if (statev_outputs(5) == 1) then
!
do i = 1, 9
!
count = count + 1
!
select case(i)
!
case(1)
ij = 'xx'
case(2)
ij = 'xy'
case(3)
ij = 'xz'
case(4)
ij = 'yx'
case(5)
ij = 'yy'
case(6)
ij = 'yz'
case(7)
ij = 'zx'
case(8)
ij = 'zy'
case(9)
ij = 'zz'
!
end select
!
!
!
write(100,'(A7,I3,A21,A2,A15)')
+ 'STATEV-', count,
+ ': Lattice curvature', ij, ' [1/micrometer]'
!
end do
!
!
endif
!
!
!
!
!
!
!
!
!
! State variable-6
if (statev_outputs(6) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': total SSD density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
!
! State variable-7
if (statev_outputs(7) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A24,A17)')
+ 'STATEV-', count,
+ ': substructure density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-8
if (statev_outputs(8) == 1) then
!
!
!
count = count + 1
!
!
!
write(100,'(A7,I3,A19,A6)')
+ 'STATEV-', count,
+ ': solute strength', ' [MPa]'
!
!
!
!
endif
!
!
! State variable-9
if (statev_outputs(9) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A19,A4)')
+ 'STATEV-', count,
+ ': cumulative slip', ' [-]'
!
!
!
!
endif
!
!
!
!
! State variable-10
if (statev_outputs(10) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A4)')
+ 'STATEV-', count,
+ ': Total slip on slip system-', i, ' [-]'
!
end do
!
!
endif
!
!
!
!
! State variable-11
if (statev_outputs(11) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A29,I2,A6)')
+ 'STATEV-', count,
+ ': Slip rate of slip system-', i, ' [1/s]'
!
end do
!
!
endif
!
!
! State variable-12
if (statev_outputs(12) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A24,I2,A6)')
+ 'STATEV-', count,
+ ': CRSS on slip system-', i, ' [MPa]'
!
end do
!
!
endif
!
!
!
!
! State variable-13
if (statev_outputs(13) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': SSD density of slip system-', i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
!
!
! State variable-14
if (statev_outputs(14) == 1) then
!
do i = 1, maxnslip*2
!
count = count + 1
!
! Edge dislocation
if (i <= maxnslip) then
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Edge dislocation density-', i, ' [1/micrometer^2]'
!
else
!
write(100,'(A7,I3,A31,I2,A17)')
+ 'STATEV-', count,
+ ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]'
!
end if
!
!
end do
!
!
endif
!
!
! State variable-15
if (statev_outputs(15) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Forest dislocation density of slip system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-16
if (statev_outputs(16) == 1) then
!
do i = 1, maxnloop
!
count = count + 1
!
!
!
write(100,'(A7,I3,A46,I2,A17)')
+ 'STATEV-', count,
+ ': Loop dislocation density of defect system-',
+ i, ' [1/micrometer^2]'
!
end do
!
!
endif
!
!
! State variable-17
if (statev_outputs(17) == 1) then
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A6)')
+ 'STATEV-', count,
+ ': Backstress on slip system-',
+ i, ' [MPa]'
!
end do
!
!
endif
!
! State variable-18
if (statev_outputs(18) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A21,A17)')
+ 'STATEV-', count,
+ ': Total GND density', ' [1/micrometer^2]'
!
!
!
!
endif
!
!
! State variable-19
if (statev_outputs(19) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A37,A5)')
+ 'STATEV-', count,
+ ': Plastic dissipation power density', ' [nW]'
!
!
!
!
endif
!
! State variable-20
if (statev_outputs(20) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A26,A4)')
+ 'STATEV-', count,
+ ': Fatemi Socie parameter', ' [-]'
!
!
!
!
endif
!
!
! State variable-21
if (statev_outputs(21) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A29,A4)')
+ 'STATEV-', count,
+ ': Lattice strains along hkl', ' [-]'
!
!
!
!
endif
!
! State variable-22
if (statev_outputs(22) == 1) then
!
!
!
do i = 1, maxnslip
!
count = count + 1
!
!
!
write(100,'(A7,I3,A30,I2,A4)')
+ 'STATEV-', count,
+ ': Activity of slip system-',
+ i, ' [-]'
!
end do
!
!
!
!
endif
!
!
! State variable-23
if (statev_outputs(23) == 1) then
!
!
!
count = count + 1
!
!
!
!
write(100,'(A7,I3,A19,A6)')
+ 'STATEV-', count,
+ ': total rotation', ' [rad]'
!
!
!
!
endif
!
!
close(100)
!
!
!
!
!
!
return
end subroutine write_statev_legend
!
!
!
!
!
!
!
subroutine assignoutputs(noel,npt,nstatv,statev)
use globalvariables, only: statev_gmatinv,
+ statev_evmp, statev_maxx, statev_Eec,
+ statev_curvature, statev_backstress_t,
+ statev_ssdtot, statev_substructure,
+ statev_tausolute, statev_totgammasum,
+ statev_gammasum, statev_gammadot,
+ statev_tauceff, statev_ssd, statev_loop, statev_gnd_t,
+ statev_forest, statev_plasdiss, statev_theta
use userinputs, only: maxnslip, maxnloop
use utilities, only: matvec9
use miscellaneous, only: FatemiSocieParameter,
+ SlipSystemActivity, ProjectLatticeStrain
implicit none
! Element number
integer, intent(in) :: noel
! Integration point
integer, intent(in) :: npt
! Number of state variables
integer, intent(in) :: nstatv
! Values of state variables
real(8), intent(inout) :: statev(nstatv)
! Other variables
integer :: i, j
real(8) :: d6(6), d9(9), d1
real(8) :: gnd(maxnslip*2)
real(8) :: eps, SSA(maxnslip)
! Outputs to extract:
! 1: Transformation matrix from crystal to sample (x9)
! 2: Equivalent Von-Mises plastic strain (x1)
! 3: Maxium ratio of rss to crss (x1)
! 4: Elastic strain in crystal frame (x6)
! 5: Lattice curvature (x9)
! 6: SSD total (x1)
! 7: Substructure density (x1)
! 8: Solute strength (x1)
! 9: Cumulative slip (x1)
! 10: Total slip per slip system (x maxnslip)
! 11: Slip rates per slip system (x maxnslip)
! 12: Effective CRSS (x maxnslip)
! 13: SSD (x maxnslip)
! 14: GND (x maxnslip)
! 15: Forest (x maxnslip)
! 16: Loop density (x maxnloop)
! 17: Backstress (x maxnslip)
! 18: Total GND density (x1)
! 19: Plastic dissipation (x1)
! 20: Fatemi Socie parameter (x1)
! 21: Lattice strain projections along hkl (x1)
! 22: Active Slip Systems (x maxnslip)
! 23: Rotation (x 1)
! 24-30: Custom outputs
!
!
! Reset the counter
i=0
!
! State variable-1
! Transformation matrix from crystal to sample (x9)
if (statev_outputs(1)==1) then
!
!
!
call matvec9(statev_gmatinv(noel,npt,:,:),d9)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
end if
!
!
!
! State variable-2
! Equivalent Von-Mises plastic strain (x1)
if (statev_outputs(2)==1) then
!
i = i + 1
statev(i) = statev_evmp(noel,npt)
!
end if
!
!
! State variable-3
! Maxium ratio of rss to crss (x1)
if (statev_outputs(3)==1) then
!
i = i + 1
statev(i) = statev_maxx(noel,npt)
!
end if
!
!
! State variable-4
! Elastic strain in crystal frame (x6)
if (statev_outputs(4)==1) then
!
!
do j = 1, 6
i = i + 1
statev(i) = statev_Eec(noel,npt,j)
end do
!
!
end if
!
!
! State variable-5
! Lattice curvature (x9)
if (statev_outputs(5)==1) then
!
d9 = statev_curvature(noel,npt,:)
!
do j = 1, 9
!
i = i + 1
statev(i) = d9(j)
!
end do
!
!
end if
!
!
! State variable-6
! SSD total (x1)
if (statev_outputs(6)==1) then
!
i = i + 1
statev(i) = statev_ssdtot(noel,npt)
!
end if
!
!
!
! State variable-7
! Substructure density (x1)
if (statev_outputs(7)==1) then
!
i = i + 1
statev(i) = statev_substructure(noel,npt)
!
end if
!
!
! State variable-8
! Solute strength (x1)
if (statev_outputs(8)==1) then
!
i = i + 1
statev(i) = statev_tausolute(noel,npt)
!
end if
!
!
! State variable-9
! Cumulative slip (x1)
if (statev_outputs(9)==1) then
!
i = i + 1
statev(i) = statev_totgammasum(noel,npt)
!
end if
!
!
! State variable-10
! Total slip per slip system (x maxnslip)
if (statev_outputs(10)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammasum(noel,npt,j)
end do
!
end if
!
!
! State variable-11
! Slip rates per slip system (x maxnslip)
if (statev_outputs(11)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_gammadot(noel,npt,j)
end do
!
end if
!
! State variable-12
! CRSS (x maxnslip)
if (statev_outputs(12)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_tauceff(noel,npt,j)
end do
!
end if
!
!
! State variable-13
! SSD (x maxnslip)
if (statev_outputs(13)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_ssd(noel,npt,j)
end do
!
end if
!
!
! State variable-14
! GND (x maxnslip)
if (statev_outputs(14)==1) then
!
do j = 1, maxnslip*2
i = i + 1
statev(i) = statev_gnd_t(noel,npt,j)
end do
!
end if
!
!
! State variable-15
! Forest density (x maxnslip)
if (statev_outputs(15)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_forest(noel,npt,j)
end do
!
end if
!
! State variable-16
! Loop density (x maxnloop)
if (statev_outputs(16)==1) then
!
do j = 1, maxnloop
i = i + 1
statev(i) = statev_loop(noel,npt,j)
end do
!
end if
!
!
! State variable-17
! Backstress (x maxnslip)
if (statev_outputs(17)==1) then
!
do j = 1, maxnslip
i = i + 1
statev(i) = statev_backstress_t(noel,npt,j)
end do
!
end if
!
! State variable-18
! GND total (x1)
if (statev_outputs(18)==1) then
!
i = i + 1
gnd = statev_gnd_t(noel,npt,1:2*maxnslip)
statev(i) = sqrt(sum(gnd*gnd))
!
end if
!
! State variable-19
! Plastic dissipation power density (x1)
if (statev_outputs(19)==1) then
!
i = i + 1
statev(i) = statev_plasdiss(noel,npt)
!
end if
!
! State variable-20
! Fatemi Socie parameter (x1)
if (statev_outputs(20)==1) then
!
i = i + 1
call FatemiSocieParameter(noel,npt,d1)
statev(i) = d1
!
end if
!
! State variable-21
! Lattice strain projections along hkl (x1)
if (statev_outputs(21)==1) then
!
i = i + 1
call ProjectLatticeStrain(noel,npt,eps)
statev(i) = eps
!
end if
!
!
! State variable-22
! Slip system activity (x maxnslip)
if (statev_outputs(22)==1) then
!
! calculate the active slip systems
call SlipSystemActivity(noel,npt,SSA)
!
do j = 1, maxnslip
i = i + 1
statev(i) = SSA(j)
end do
!
end if
!
!
! State variable-23
! Rotation
if (statev_outputs(23)==1) then
!
i = i + 1
statev(i) = statev_theta(noel,npt)
!
end if
!
!
! Custom state variables 22-30
! Please add custom outputs here!
!
!
!
!
return
end subroutine assignoutputs
!
!
!
!
!
!
end module useroutputs
================================================
FILE: OXFORD-UMAT v3.3/utilities.f
================================================
! *************************************************
! *************************************************
! * UTILITY SUBROUTINES *
! *************************************************
! *************************************************
! Updated on Sept 23rd, 2022
! Reorganized by Eralp Demir
! Converged into a module file
! Function trace is written as a subroutine
!
!
module utilities
implicit none
contains
!
!
! *************************************************
! * TRACE OF A 3X3 MATRIX *
! *************************************************
subroutine trace3x3(a,aii)
implicit none
real(8), intent(in) :: a(3,3)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)+a(3,3)
!
return
end subroutine trace3x3
!
!
!
! *************************************************
! * TRACE OF A2X2 MATRIX *
! *************************************************
subroutine trace2x2(a,aii)
implicit none
real(8), intent(in) :: a(2,2)
real(8), intent(out) :: aii
!
aii = a(1,1)+a(2,2)
!
return
end subroutine trace2x2
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine vecmat9(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(9)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
dmout(1,1) = dvin(1)
dmout(1,2) = dvin(2)
dmout(1,3) = dvin(3)
!
dmout(2,1) = dvin(4)
dmout(2,2) = dvin(5)
dmout(2,3) = dvin(6)
!
dmout(3,1) = dvin(7)
dmout(3,2) = dvin(8)
dmout(3,3) = dvin(9)
!
return
end subroutine vecmat9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR *
! *************************************************
subroutine matvec9(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(9)
integer :: i
!
dvout(1) = dmin(1,1)
dvout(2) = dmin(1,2)
dvout(3) = dmin(1,3)
!
dvout(4) = dmin(2,1)
dvout(5) = dmin(2,2)
dvout(6) = dmin(2,3)
!
dvout(7) = dmin(3,1)
dvout(8) = dmin(3,2)
dvout(9) = dmin(3,3)
!
return
end subroutine matvec9
!
!
! *************************************************
! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! *************************************************
subroutine matvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = (dmin(1,2)+dmin(2,1))/2.
dvout(5) = (dmin(1,3)+dmin(3,1))/2.
dvout(6) = (dmin(2,3)+dmin(3,2))/2.
!
return
end subroutine matvec6
!
!
! *************************************************
! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX *
! *************************************************
!
subroutine vecmat6(dvin,dmout)
implicit none
real(8), intent(in) :: dvin(6)
real(8), intent(out) :: dmout(3,3)
integer :: i
!
do i=1,3
dmout(i,i) = dvin(i)
end do
!
dmout(1,2) = dvin(4)
dmout(2,1) = dvin(4)
dmout(1,3) = dvin(5)
dmout(3,1) = dvin(5)
dmout(3,2) = dvin(6)
dmout(2,3) = dvin(6)
!
return
end subroutine vecmat6
!
!
! *************************************************
! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
! *************************************************
subroutine vecprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2)
dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3)
dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1)
!
return
end subroutine vecprod
!
!
! *************************************************
! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 *
! *************************************************
subroutine dotprod(dvin1,dvin2,dvout)
implicit none
real(8), intent(in) :: dvin1(3), dvin2(3)
real(8), intent(out) :: dvout(3)
!
dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3)
dvout = abs(dvout)
!
return
end subroutine dotprod
!
!
! ****************************************************
! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR *
! ****************************************************
! Off-diagonal terms are doubled!
! This is valid for shear conversion only!
subroutine gmatvec6(dmin,dvout)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: dvout(6)
integer :: i
!
do i=1,3
dvout(i)=dmin(i,i)
end do
!
dvout(4) = dmin(1,2)+dmin(2,1)
dvout(5) = dmin(3,1)+dmin(1,3)
dvout(6) = dmin(2,3)+dmin(3,2)
!
return
end subroutine gmatvec6
!
! *************************************************
! * INVERSE OF A MATRIX WITH LAPACK *
! *************************************************
! Checked inverse against python's numpy.linalg.inv
subroutine lapinverse(xmatin,m,info,xmatout)
implicit none
!
integer,intent(in) :: m
real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:)
!
integer,parameter :: lwork = 64
real(8),parameter :: zero=1.0d-12
integer :: i,j
!
integer,intent(out) :: info
real(8),intent(out) :: xmatout(m,m)
integer :: ipiv(m)
real(8) :: a(m,m)
real(8) :: work(lwork)
!
!
! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6
!
! EXTERNAL DGETRI, DGETRF
!
!
!
xmatout = 0.
! ED: I have added to run this
! The next line shall be removed
info=1
!
a = xmatin !don't input array xmatin
!
! call DGETRF( m, m, a, m, ipiv, info )
!
if(info == 0) then
! call DGETRI( m, a, m, ipiv, work, lwork, info )
!write(*,*) "work(1) == min lwork needed", work(1)
else
xmatout = 0.
! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse"
end if
!
do i=1,m;
do j=1,m;
if (abs(a(i,j))<= zero) a(i,j) = 0.
end do
end do
xmatout = a
!
!
!
!
return
end subroutine lapinverse
!
!
!
!
! ****************************************************
! * INVERSE OF A MATRIX WITHOUT LAPACK *
! ****************************************************
!
subroutine nolapinverse(ain,c,n)
! ============================================================
! Inverse matrix
! Method: Based on Doolittle LU factorization for Ax=b
! Alex G. December 2009
! -----------------------------------------------------------
! input ...
! a(n,n) - array of coefficients for matrix A
! n - dimension
! output ...
! c(n,n) - inverse matrix of A
!
! ===========================================================
implicit none
!
integer, intent(in) :: n
real(8), intent(out) :: c(n,n)
real(8), intent(in) :: ain(n,n)
real(8) :: L(n,n), U(n,n), b(n), d(n), x(n)
real(8) :: coeff, a(n,n)
integer :: i, j, k
!
! step 0: initialization for matrices L and U and b
! Fortran 90/95 allows such operations on matrices
L=0.
U=0.
b=0.
a=ain
!
! step 1: forward elimination
do k=1,n-1
do i=k+1,n
coeff=a(i,k)/a(k,k)
L(i,k) = coeff
do j=k+1,n
a(i,j) = a(i,j)-coeff*a(k,j)
end do
end do
end do
!
! Step 2: prepare L and U matrices
! L matrix is a matrix of the elimination coefficient
! + the diagonal elements are 1.0
do i=1,n
L(i,i) = 1.0
end do
! U matrix is the upper triangular part of A
do j=1,n
do i=1,j
U(i,j) = a(i,j)
end do
end do
!
! Step 3: compute columns of the inverse matrix C
do k=1,n
b(k)=1.0
d(1) = b(1)
! Step 3a: Solve Ld=b using the forward substitution
do i=2,n
d(i)=b(i)
do j=1,i-1
d(i) = d(i) - L(i,j)*d(j)
end do
end do
! Step 3b: Solve Ux=d using the back substitution
x(n)=d(n)/U(n,n)
do i = n-1,1,-1
x(i) = d(i)
do j=n,i+1,-1
x(i)=x(i)-U(i,j)*x(j)
end do
x(i) = x(i)/u(i,i)
end do
! Step 3c: fill the solutions x(n) into column k of C
do i=1,n
c(i,k) = x(i)
end do
b(k)=0.0
end do
!
end subroutine nolapinverse
!
!
!
!
!
! *************************************************
! * SUBROUTINE MATRIX SQUARE ROOT *
! *************************************************
!
subroutine msqrt(a,b)
implicit none
real(8), intent(inout) :: a(3,3)
real(8), intent(out) :: b(3,3)
integer :: i
real(8) :: diag(3,3), q(3,3), d(3),
+ qtrans(3,3), res(3,3)
!
!
diag=0.; b=0.; q=0.;res=0.;d=0.
!
call jacobi(a,3,d,q)
call eigsrt(d,q,3)
!
do i=1,3
if (d(i) .ge. 0) then
diag(i,i)=sqrt(d(i))
else
write (6,*) 'the matrix is not positive definite'
end if
end do
!
res = matmul(q,diag)
b = matmul(res,transpose(q))
!
return
end subroutine msqrt
!
!
!
! *************************************************
! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS*
! *************************************************
!
subroutine jacobi(a,n,d,v)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: a(n,n)
real(8), intent(out) :: d(n), v(n,n)
!
integer, parameter :: nmax=500
integer :: i, j, ip, iq, nrot
real(8) :: b(nmax), z(nmax), dial(n,n),
+ sm, tresh, g, h, t, theta, c, s, ta
!
!
do ip=1,n
do iq=1,n
v(ip,iq)=0.
end do
v(ip,ip)=1.
end do
!
do ip=1,n
b(ip)=a(ip,ip)
d(ip)=b(ip)
z(ip)=0.
end do
!
nrot=0
do i=1,50
sm=0.
do ip=1,n-1
do iq=ip+1,n
sm=sm+abs(a(ip,iq))
end do
end do
!
if (sm .eq. 0.) return
if (i .lt. 4) then
tresh=0.2*sm/n**2
else
tresh=0.
end if
!
do ip=1,n-1
do iq=ip+1,n
g=100.*abs(a(ip,iq))
if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip)))
+ .and. (abs(d(ip))+g .eq. abs(d(iq)))) then
a(ip,iq)=0.
else if (abs(a(ip,iq)) .gt. tresh) then
h=d(iq)-d(ip)
if (abs(h)+g .eq. abs(h)) then
t=a(ip,iq)/h
else
theta=0.5*h/a(ip,iq)
t=1./(abs(theta)+sqrt(1.+theta**2))
if (theta .lt. 0) t=-t
end if
c=1./sqrt(1.+t**2)
s=t*c
ta=s/(1.+c)
h=t*a(ip,iq)
z(ip)=z(ip)-h
z(iq)=z(iq)+h
d(ip)=d(ip)-h
d(iq)=d(iq)+h
a(ip,iq)=0.
!
do j=1,ip-1
g=a(j,ip)
h=a(j,iq)
a(j,ip)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=ip+1,iq-1
g=a(ip,j)
h=a(j,iq)
a(ip,j)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
!
do j=iq+1,n
g=a(ip,j)
h=a(iq,j)
a(ip,j)=g-s*(h+g*ta)
a(iq,j)=h+s*(g-h*ta)
end do
!
do j=1,n
g=v(j,ip)
h=v(j,iq)
v(j,ip)=g-s*(h+g*ta)
v(j,iq)=h+s*(g-h*ta)
end do
!
nrot=nrot+1
end if
end do
end do
!
do ip=1,n
b(ip)=b(ip)+z(ip)
d(ip)=b(ip)
z(ip)=0.
end do
end do
!
!
return
end subroutine jacobi
!
!
! *************************************************
! * SUBROUTINE SORT EIGENVALUES *
! *************************************************
!
subroutine eigsrt(d,v,n)
implicit none
integer, intent(in) :: n
real(8), intent(inout) :: d(n)
real(8), intent(inout) :: v(n,n)
!
integer :: i, j, k
real(8) :: p
!
do i=1,n-1
k=i
p=d(i)
do j=i+1,n
if(d(j).ge.p)then
k=j
p=d(j)
endif
end do
if(k.ne.i)then
d(k)=d(i)
d(i)=p
do j=1,n
p=v(j,i)
v(j,i)=v(j,k)
v(j,k)=p
end do
endif
end do
!
return
end subroutine eigsrt
!
!
! *************************************************
! * THE DETERMINANT OF A 3X3 MATRIX *
! *************************************************
subroutine deter3x3(dmin,d)
implicit none
real(8), intent(in) :: dmin(3,3)
real(8), intent(out) :: d
!
d = 0.
d = dmin(1,1)*dmin(2,2)*dmin(3,3) +
+ dmin(1,2)*dmin(2,3)*dmin(3,1) +
+ dmin(2,1)*dmin(3,2)*dmin(1,3) -
+ dmin(1,3)*dmin(2,2)*dmin(3,1) -
+ dmin(1,1)*dmin(2,3)*dmin(3,2) -
+ dmin(1,2)*dmin(2,1)*dmin(3,3)
!
return
end subroutine deter3x3
!
!
! *************************************************
! * THE DETERMINANT OF A 2X2 MATRIX *
! *************************************************
subroutine deter2x2(dmin,d)
implicit none
real(8), intent(in) :: dmin(2,2)
real(8), intent(out) :: d
!
d=0.
d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1)
!
return
end subroutine deter2x2
!
! *************************************************
! * Build 4th order rotation matrix (tsigma) *
! *************************************************
! valid for rotating symmetric tensors
subroutine rotord4sig(xrot,tsigma)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tsigma(6,6)
!
tsigma(1,1) = xrot(1,1)*xrot(1,1)
tsigma(1,2) = xrot(1,2)*xrot(1,2)
tsigma(1,3) = xrot(1,3)*xrot(1,3)
tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2)
tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3)
tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1)
!
tsigma(2,1) = xrot(2,1)*xrot(2,1)
tsigma(2,2) = xrot(2,2)*xrot(2,2)
tsigma(2,3) = xrot(2,3)*xrot(2,3)
tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2)
tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3)
tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1)
!
tsigma(3,1) = xrot(3,1)*xrot(3,1)
tsigma(3,2) = xrot(3,2)*xrot(3,2)
tsigma(3,3) = xrot(3,3)*xrot(3,3)
tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2)
tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3)
tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1)
!
tsigma(4,1) = xrot(1,1)*xrot(2,1)
tsigma(4,2) = xrot(1,2)*xrot(2,2)
tsigma(4,3) = xrot(1,3)*xrot(2,3)
tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tsigma(6,1) = xrot(2,1)*xrot(3,1)
tsigma(6,2) = xrot(2,2)*xrot(3,2)
tsigma(6,3) = xrot(2,3)*xrot(3,3)
tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tsigma(5,1) = xrot(3,1)*xrot(1,1)
tsigma(5,2) = xrot(3,2)*xrot(1,2)
tsigma(5,3) = xrot(3,3)*xrot(1,3)
tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4sig
!
!
! *************************************************
! * Build 4th order rotation matrix (tstran) *
! *************************************************
! valid for symmetric tensors
subroutine rotord4str(xrot,tstran)
implicit none
real(8), intent(in) :: xrot(3,3)
real(8), intent(out) :: tstran(6,6)
!
tstran(1,1) = xrot(1,1)*xrot(1,1)
tstran(1,2) = xrot(1,2)*xrot(1,2)
tstran(1,3) = xrot(1,3)*xrot(1,3)
tstran(1,4) = xrot(1,1)*xrot(1,2)
tstran(1,6) = xrot(1,2)*xrot(1,3)
tstran(1,5) = xrot(1,3)*xrot(1,1)
!
tstran(2,1) = xrot(2,1)*xrot(2,1)
tstran(2,2) = xrot(2,2)*xrot(2,2)
tstran(2,3) = xrot(2,3)*xrot(2,3)
tstran(2,4) = xrot(2,1)*xrot(2,2)
tstran(2,6) = xrot(2,2)*xrot(2,3)
tstran(2,5) = xrot(2,3)*xrot(2,1)
!
tstran(3,1) = xrot(3,1)*xrot(3,1)
tstran(3,2) = xrot(3,2)*xrot(3,2)
tstran(3,3) = xrot(3,3)*xrot(3,3)
tstran(3,4) = xrot(3,1)*xrot(3,2)
tstran(3,6) = xrot(3,2)*xrot(3,3)
tstran(3,5) = xrot(3,3)*xrot(3,1)
!
tstran(4,1) = 2.*xrot(1,1)*xrot(2,1)
tstran(4,2) = 2.*xrot(1,2)*xrot(2,2)
tstran(4,3) = 2.*xrot(1,3)*xrot(2,3)
tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1)
tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3)
tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1)
!
tstran(6,1) = 2.*xrot(2,1)*xrot(3,1)
tstran(6,2) = 2.*xrot(2,2)*xrot(3,2)
tstran(6,3) = 2.*xrot(2,3)*xrot(3,3)
tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2)
tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2)
tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1)
!
tstran(5,1) = 2.*xrot(3,1)*xrot(1,1)
tstran(5,2) = 2.*xrot(3,2)*xrot(1,2)
tstran(5,3) = 2.*xrot(3,3)*xrot(1,3)
tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2)
tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3)
tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3)
!
return
end subroutine rotord4str
!
!
! ***************************************************************
! * Build 4th order lower (and upper) tensor product *
! * NB: When contracted from 4th to the format used for *
! * C-matrix, it turns out that the upper and lower products *
! * are the same! *
! ***************************************************************
! valid for symmetric tensors
subroutine ltprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,2)*b(1,2)
c(1,3) = 2.*a(1,3)*b(1,3)
c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1)
c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1)
c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,3)*b(2,3)
c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1)
c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1)
c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1)
c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1)
c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1)
c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1)
c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2)
!
c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1)
c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine ltprod
!
!
! **************************************************
! * Build 4th order tensor product (kronecker)*
! **************************************************
! valid for symmetric tensors
subroutine tprod(a,b,c)
implicit none
real(8), intent(in) :: a(3,3), b(3,3)
real(8), intent(out) :: c(6,6)
integer :: i, j
!
c = 0.
c(1,1) = 2.*a(1,1)*b(1,1)
c(1,2) = 2.*a(1,1)*b(2,2)
c(1,3) = 2.*a(1,1)*b(3,3)
c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1)
c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1)
c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2)
!
c(2,2) = 2.*a(2,2)*b(2,2)
c(2,3) = 2.*a(2,2)*b(3,3)
c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1)
c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1)
c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2)
!
c(3,3) = 2.*a(3,3)*b(3,3)
c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1)
c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1)
c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2)
!
c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1)
c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1)
c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2)
!
c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1)
c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2)
!
c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2)
!
do i=2,6
do j=1,i-1
c(i,j)=c(j,i)
end do
end do
!
c = 0.5*c
!
return
end subroutine tprod
!
!
!
! **************************************
! * MULTIPLY 3x3 MATRICES *
! **************************************
subroutine mmult(dm1,dm2,dm)
implicit none
real(8), intent(in) :: dm1(3,3), dm2(3,3)
real(8), intent(out) :: dm(3,3)
integer :: i, j, k
real(8) :: x
!
!
do i=1,3
do j=1,3
x=0.0
do k=1,3
x=x+dm1(i,k)*dm2(k,j)
end do
dm(i,j)=x
end do
end do
!
return
end subroutine mmult
!
!
! This subroutine inverts a 3x3 matrix
! INPUT: Matrix --- A(3,3)
! OUTPUT: Invereted matrix, determinant --- invA(3,3),det
subroutine inv3x3(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(3,3)
real(8), intent(out) :: invA(3,3), det
integer :: i,j
!
!
! First calculate the determinant
call deter3x3(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det
invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det
invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det
invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det
invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det
invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det
invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det
invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det
invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det
endif
return
end subroutine inv3x3
!
!
! This subroutine inverts a 2x2 matrix
! INPUT: Matrix --- A(2,2)
! OUTPUT: Invereted matrix, determinant --- invA(2,2),det
subroutine inv2x2(A,invA,det)
use globalvariables, only: smallnum
implicit none
real(8), intent(in) :: A(2,2)
real(8), intent(out) :: invA(2,2), det
integer :: i,j
!
!
! First calculate the determinant
call deter2x2(A,det)
! If the determinant is greater than certain value
if (abs(det) < smallnum) then
invA=0.0d+0
else
invA(1,1) = A(2,2)/det
invA(1,2) =-A(1,2)/det
invA(2,1) =-A(2,1)/det
invA(2,2) = A(1,1)/det
endif
return
end subroutine inv2x2
!
! Euler angles to crystal orientation matrix
! INPUT: Angles(deg) --- ang(3)
! OUTPUT: Orientation matrix --- R(3,3)
! USES: Number pi --- pi
subroutine Euler2ori(Euler,R)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: Euler(3)
real(8), intent(out) :: R(3,3)
real(8) :: phi1, phi2, Phi
!
! convert to radians
phi1=Euler(1)*pi/180.
Phi=Euler(2)*pi/180.
phi2=Euler(3)*pi/180.
!
!
R=0.
R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi))
R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi))
R(3,1)=sin(phi1)*sin(Phi)
R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi))
R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi))
R(3,2)=-cos(phi1)*sin(Phi)
R(1,3)=sin(phi2)*sin(Phi)
R(2,3)=cos(phi2)*sin(Phi)
R(3,3)=cos(Phi)
!
return
end subroutine Euler2ori
!
!
! Orientation matrix from Euler angles
! INPUT: Orientation matrix --- R(3)
! OUTPUT: Bunge angles(deg) --- ang(3)
! USES: Number pi --- pi
subroutine ori2Euler(R,Euler)
use globalvariables, only : pi
implicit none
real(8), intent(in) :: R(3,3)
real(8), intent(out) :: Euler(3)
real(8) :: phi1, phi2, Phi
!
if (R(3,3).eq.1.) then
Phi=0.
phi1=atan2(R(1,2),R(1,1))
phi2=0.
else
Phi=acos(R(3,3))
phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi))
phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi))
endif
Euler(1)=phi1
Euler(2)=Phi
Euler(3)=phi2
! convert to degrees
Euler=Euler*180./pi
!
return
end subroutine ori2Euler
!
!
! This subroutine calculates inverse of a square matrix
! by singular value decomposition
subroutine SVDinverse(A,n,invA,err)
use globalvariables, only: smallnum
implicit none
integer n
real(8), intent(in) :: A(n,n)
real(8), intent(out) :: invA(n,n)
integer, intent(out) :: err
! local variables
real(8) :: w(n), V(n,n), U(n,n)
real(8) :: invS(n,n), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,n,n,n,w,V,err)
!
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
!
invS = 0.
do i = 1, n
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
! Corrected by Alvaro
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDinverse
!
!
! Generalized inverse by singular value decomposition
! Written by Alvaro Martinez 08-03-2023
!
subroutine SVDgeninverse(A,n,m,invA,err)
use globalvariables, only: smallnum
implicit none
integer, intent(in) :: n
integer, intent(in) :: m
real(8), intent(in) :: A(n,m)
real(8), intent(out) :: invA(m,n)
integer, intent(out) :: err
! local variables
real(8) :: w(m), V(m,m), U(n,m)
real(8) :: invS(m,m), tol
integer :: i
!
!
! tolerance value
tol = sqrt(smallnum)
!
U = A
! Singular Value Decomposition
call svdcmp(U,n,m,n,m,w,V,err)
! subroutine returns
! U = A
! V = V
! S(i,i) = w(i)
!
! Calculate the inverse
! A = U * S * V^T
! invA = V * inv(S) * U^T
! inv(S) is the pseudo inverse 1/w(i)
!
! If there is no error
if (err==0) then
invS = 0.
do i = 1, m
if (abs(w(i)) > tol) then
invS(i,i) = 1. / w(i)
end if
end do
!
invA = matmul(matmul(V,invS),transpose(U))
! In case of an error
else
!
V = 0.
invA = 0.
!
!
end if
!
end subroutine SVDgeninverse
!
!
!
! Codes for singular value decomposition
! Numerical Recipies in F77
! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf
!
! SVDcmp subroutine
! Given a matrix (1:m,1:n) with physical dimensions mp by np,
! this routine computes its singular value decomposition,
! A = U W VT. The matrix U replaces A on output. The diagonal
! matrix of singular values W is output as a vector w(1:n)
! The matrix V (not the transpose VT) is the output as V(1:n,1:n)
!
subroutine svdcmp(A,m,n,mp,np,w,V,err)
use errors, only: error
implicit none
integer, intent(in) :: m,mp,n,np
real(8), intent(inout) :: A(mp,np)
real(8), intent(out) :: V(np,np), w(np)
integer, intent(out) :: err
integer, parameter :: nmax=1000
! uses pythag
integer i,its,j,jj,k,l,nm
real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt
! initialize error flag
err=0
!
g=0.0
scale=0.0
anorm=0.0
do 25 i=1,n
l=i+1
rv1(i)=scale*g
g=0.0
s=0.0
scale=0.0
if(i.le.m)then
do 11 k=i,m
scale=scale+abs(A(k,i))
11 continue
if(scale.ne.0.0)then
do 12 k=i,m
A(k,i)=A(k,i)/scale
s=s+A(k,i)*A(k,i)
12 continue
f=A(i,i)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,i)=f-g
do 15 j=l,n
s=0.0
do 13 k=i,m
s=s+A(k,i)*A(k,j)
13 continue
f=s/h
do 14 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
14 continue
15 continue
do 16 k=i,m
A(k,i)=scale*A(k,i)
16 continue
endif
endif
w(i)=scale *g
g=0.0
s=0.0
scale=0.0
if((i.le.m).and.(i.ne.n))then
do 17 k=l,n
scale=scale+abs(A(i,k))
17 continue
if(scale.ne.0.0)then
do 18 k=l,n
A(i,k)=A(i,k)/scale
s=s+A(i,k)*A(i,k)
18 continue
f=A(i,l)
g=-sign(sqrt(s),f)
h=f*g-s
A(i,l)=f-g
do 19 k=l,n
rv1(k)=A(i,k)/h
19 continue
do 23 j=l,m
s=0.0
do 21 k=l,n
s=s+A(j,k)*A(i,k)
21 continue
do 22 k=l,n
A(j,k)=A(j,k)+s*rv1(k)
22 continue
23 continue
do 24 k=l,n
A(i,k)=scale*A(i,k)
24 continue
endif
endif
anorm=max(anorm,(abs(w(i))+abs(rv1(i))))
25 continue
do 32 i=n,1,-1
if(i.lt.n)then
if(g.ne.0.0)then
do 26 j=l,n
V(j,i)=(A(i,j)/A(i,l))/g
26 continue
do 29 j=l,n
s=0.0
do 27 k=l,n
s=s+A(i,k)*V(k,j)
27 continue
do 28 k=l,n
V(k,j)=V(k,j)+s*V(k,i)
28 continue
29 continue
endif
do 31 j=l,n
V(i,j)=0.0
V(j,i)=0.0
31 continue
endif
V(i,i)=1.0
g=rv1(i)
l=i
32 continue
do 39 i=min(m,n),1,-1
l=i+1
g=w(i)
do 33 j=l,n
A(i,j)=0.0
33 continue
if(g.ne.0.0)then
g=1.0/g
do 36 j=l,n
s=0.0
do 34 k=l,m
s=s+A(k,i)*A(k,j)
34 continue
f=(s/A(i,i))*g
do 35 k=i,m
A(k,j)=A(k,j)+f*A(k,i)
35 continue
36 continue
do 37 j=i,m
A(j,i)=A(j,i)*g
37 continue
else
do 38 j= i,m
A(j,i)=0.0
38 continue
endif
A(i,i)=A(i,i)+1.0
39 continue
do 49 k=n,1,-1
do 48 its=1,30
do 41 l=k,1,-1
nm=l-1
if((abs(rv1(l))+anorm).eq.anorm) goto 2
if((abs(w(nm))+anorm).eq.anorm) goto 1
41 continue
1 c=0.0
s=1.0
do 43 i=l,k
f=s*rv1(i)
rv1(i)=c*rv1(i)
if((abs(f)+anorm).eq.anorm) goto 2
g=w(i)
call pythag(f,g,h)
w(i)=h
h=1.0/h
c= (g*h)
s=-(f*h)
do 42 j=1,m
y=A(j,nm)
z=A(j,i)
A(j,nm)=(y*c)+(z*s)
A(j,i)=-(y*s)+(z*c)
42 continue
43 continue
2 z=w(k)
if(l.eq.k)then
if(z.lt.0.0)then
w(k)=-z
do 44 j=1,n
V(j,k)=-V(j,k)
44 continue
endif
goto 3
endif
if(its.eq.30) then !pause 'no convergence in svdcmp'
err=1
endif
x=w(l)
nm=k-1
y=w(nm)
g=rv1(nm)
h=rv1(k)
f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y)
call pythag(f,1.0d+0,g)
f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x
c=1.0
s=1.0
do 47 j=l,nm
i=j+1
g=rv1(i)
y=w(i)
h=s*g
g=c*g
call pythag(f,h,z)
rv1(j)=z
c=f/z
s=h/z
f= (x*c)+(g*s)
g=-(x*s)+(g*c)
h=y*s
y=y*c
do 45 jj=1,n
x=V(jj,j)
z=V(jj,i)
V(jj,j)= (x*c)+(z*s)
V(jj,i)=-(x*s)+(z*c)
45 continue
call pythag(f,h,z)
w(j)=z
if(z.ne.0.0)then
z=1.0/z
c=f*z
s=h*z
endif
f= (c*g)+(s*y)
x=-(s*g)+(c*y)
do 46 jj=1,m
y=A(jj,j)
z=A(jj,i)
A(jj,j)= (y*c)+(z*s)
A(jj,i)=-(y*s)+(z*c)
46 continue
47 continue
rv1(l)=0.0
rv1(k)=f
w(k)=x
48 continue
3 continue
49 continue
return
end subroutine svdcmp
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
!
!
!
!
subroutine pythag(a,b,pyt)
implicit none
real(8), intent(in):: a,b
real(8), intent(out):: pyt
real(8) absa,absb
absa=abs(a)
absb=abs(b)
if(absa.gt.absb)then
pyt=absa*sqrt(1.+(absb/absa)**2)
else
if(absb.eq.0.)then
pyt=0.
else
pyt=absb*sqrt(1.+(absa/absb)**2)
endif
endif
return
end subroutine pythag
! (C) Copr. 1986-92 Numerical Recipes Software
!
!
c
c********1*********2*********3*********4*********5*********6*********7**
c
c MATPP3(G,R,S)
c
c positive polar decomposition of 3x3 matrix G = R * S
c forcing positive orthonormal rotation matrix
c
c INPUTS
c G = 3x3 general matrix
c
c OUTPUTS
c R = 3x3 positive orthonormal matrix
c S = 3x3 symmetric matrix
c
c PRECISION: single
c COMMONS: none
c CALLS: none
c FUNCTIONS: ABS, SQRT
c REFERENCE: Veldpaus, F.E., H.J. Woltring, and L.J.M.G. Dortmans,
c A Least-Squares Algorithm for the Equiform
c Transformation from Spatial Marker Coordinates,
c J. Biomechanics, 21(1):45-54 (1988).
c DATE: 10/8/92 - HJSIII
c
c
SUBROUTINE polar(G,R,S)
c
use globalvariables, only: I3, smallnum
implicit none
c declarations
REAL(8) G(3,3),R(3,3),S(3,3)
REAL(8) COG(3,3),P(3,3),ADP(3,3),PBI(3,3)
real(8) EPS, G1SQ, G1, G2SQ, G2, G3, H1, H2, X, Y
real(8) DEN, RES1, RES2, DX, DY, BETA1, BETA2, DETPBI
integer I
c
c constants
EPS=1.0E-5
c
c cofactors and determinant of g
COG(1,1)=G(2,2)*G(3,3)-G(2,3)*G(3,2)
COG(2,1)=G(1,3)*G(3,2)-G(1,2)*G(3,3)
COG(3,1)=G(1,2)*G(2,3)-G(1,3)*G(2,2)
COG(1,2)=G(2,3)*G(3,1)-G(2,1)*G(3,3)
COG(2,2)=G(1,1)*G(3,3)-G(1,3)*G(3,1)
COG(3,2)=G(1,3)*G(2,1)-G(1,1)*G(2,3)
COG(1,3)=G(2,1)*G(3,2)-G(2,2)*G(3,1)
COG(2,3)=G(1,2)*G(3,1)-G(1,1)*G(3,2)
COG(3,3)=G(1,1)*G(2,2)-G(1,2)*G(2,1)
G3=G(1,1)*COG(1,1)+G(2,1)*COG(2,1)+G(3,1)*COG(3,1)
c
c P = trans(G) * G = S * S
DO 10000 I=1,3
P(I,1)=G(1,I)*G(1,1)+G(2,I)*G(2,1)+G(3,I)*G(3,1)
P(I,2)=G(1,I)*G(1,2)+G(2,I)*G(2,2)+G(3,I)*G(3,2)
P(I,3)=G(1,I)*G(1,3)+G(2,I)*G(2,3)+G(3,I)*G(3,3)
10000 CONTINUE
c
c adjoint of P
ADP(1,1)=P(2,2)*P(3,3)-P(2,3)*P(3,2)
ADP(2,2)=P(1,1)*P(3,3)-P(1,3)*P(3,1)
ADP(3,3)=P(1,1)*P(2,2)-P(1,2)*P(2,1)
c
c G invariants
G1SQ=P(1,1)+P(2,2)+P(3,3)
G1=SQRT(G1SQ)
G2SQ=ADP(1,1)+ADP(2,2)+ADP(3,3)
G2=SQRT(G2SQ)
c
c initialize iteration
H1=G2/G1SQ
H2=G3*G1/G2SQ
X=1.0
Y=1.0
c
c iteration loop
10001 CONTINUE
DEN=2.0*(X*Y-H1*H2)
RES1=1.0-X*X+2.0*H1*Y
RES2=1.0-Y*Y+2.0*H2*X
DX=(Y*RES1+H1*RES2)/DEN
DY=(H2*RES1+X*RES2)/DEN
X=X+DX
Y=Y+DY
IF(ABS(DX/X).GT.EPS.OR.ABS(DY/Y).GT.EPS)GO TO 10001
c
c BETA invariants
BETA1=X*G1
BETA2=Y*G2
c
c invert ( trans(G) * G + BETA2 * identity )
P(1,1)=P(1,1)+BETA2
P(2,2)=P(2,2)+BETA2
P(3,3)=P(3,3)+BETA2
PBI(1,1)=P(2,2)*P(3,3)-P(2,3)*P(3,2)
PBI(1,2)=P(1,3)*P(3,2)-P(1,2)*P(3,3)
PBI(1,3)=P(1,2)*P(2,3)-P(1,3)*P(2,2)
PBI(2,1)=P(2,3)*P(3,1)-P(2,1)*P(3,3)
PBI(2,2)=P(1,1)*P(3,3)-P(1,3)*P(3,1)
PBI(2,3)=P(1,3)*P(2,1)-P(1,1)*P(2,3)
PBI(3,1)=P(2,1)*P(3,2)-P(2,2)*P(3,1)
PBI(3,2)=P(1,2)*P(3,1)-P(1,1)*P(3,2)
PBI(3,3)=P(1,1)*P(2,2)-P(1,2)*P(2,1)
DETPBI=P(1,1)*PBI(1,1)+P(2,1)*PBI(1,2)+P(3,1)*PBI(1,3)
c
c R = (cofac(G)+BETA1*G) * inv(trans(G)*G+BETA2*identity)
DO 10002 I=1,3
R(I,1)=((COG(I,1)+BETA1*G(I,1))*PBI(1,1)
1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,1)
2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,1))/DETPBI
R(I,2)=((COG(I,1)+BETA1*G(I,1))*PBI(1,2)
1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,2)
2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,2))/DETPBI
R(I,3)=((COG(I,1)+BETA1*G(I,1))*PBI(1,3)
1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,3)
2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,3))/DETPBI
10002 CONTINUE
c
c S = trans(R) * G
DO 10003 I=1,3
S(I,1)=R(1,I)*G(1,1)+R(2,I)*G(2,1)+R(3,I)*G(3,1)
S(I,2)=R(1,I)*G(1,2)+R(2,I)*G(2,2)+R(3,I)*G(3,2)
S(I,3)=R(1,I)*G(1,3)+R(2,I)*G(2,3)+R(3,I)*G(3,3)
10003 CONTINUE
c
c done
c
c done
RETURN
END SUBROUTINE polar
c
c********1*********2*********3*********4*********5*********6*********7**
c
c
!
!
end module utilities
================================================
FILE: OXFORD-UMAT v3.3/v3.3-updates.txt
================================================
updates with respect to v2.1
- The variable "ipdomain" for IP domain size (area or volume) is added
************************************************
updates with respect to v2.2
- C3D8R element type is added (no GND calculation is possible)
************************************************
updates with respect to v2.3
- UMAT.f: The gradient calculaiton for elements with 1-int. points are eliminated from the solution
- creep.f: Dp is reset to zero
- globalvariables.f: nogradient flag is introduced for elements without enough number of integration points
- meshprop.f: C3D6 gradient calculation is avoided
- initializations.f: when using PROPS as the entry, material-ID is defined for which two different materials with the same phases can be present (noted by Guofeng)
- backstress.f: local Armstrong-Frederick backstress model is added
- useroutoutputs.f: backstress outputs are rearranged for per slip system outputs
************************************************
updates with respect to v2.5
- backstress.f: backstress model-2 calculation is updated to account for the sign of gammasum
- userinputs.f: the values of quadprec and phi are set to zero
- hardening.f: Hardening model-4 burgers vector is included as as multiplier to the substructure hardening
- hardening.f: Hardening model-4 "drhosub" term added over slip systems
- hardening.f: Hardening model-3 and 4 k1 term is divided by burgers vector
- cpsolver.f: the sign of gammasum is preserved due to the backstress calculations
- UMAT.f: if statement is added before GND calculations
- BUG-FIX - backstress.f: line-88 phaseid is corrected to materialid
- cpsolver.f: iterno0.99
- usermaterials.f - tungsten properties in case(4) are updated
- useroutputs.f - total GND density is added as another output
- materials.vox file can be optionally used for in-grain orientation scatter
- the earlier change in v2.5 that is "semi-implicit state update, the hardening function is called for the updated value of states (not for *_t)" reverted back to original
- cpsolver.f - line 535: NSij(i,j) changed to NSij(j,i)
************************************************
updates with respect to v2.9
- meshprop.f - C3D15 integration weights are added
- meshprop.f - C3D15 ip coordinates are corrected, ordering was wrong
- initializations.f - in allocation of one of the array is corrected to linc_0_all(maxnmaterial,maxnslip*2,3)
- innerloop.f - line 263: a check for the slip rates becoming NaN is placed.
- innerloop.f - line 173: a statement is added to end the inner loop in case of "no convergence"
- several locations: hardening model of Vikram Phalke (UKAEA) is included
************************************************
updates with respect to v2.10
- hardening.f - line 434: the hardening model-5 is correct, softening effect is taken out of the loop
- initializations.f - line 661/662: initial total density is corrected to have the sum over the slip systems
- initializations.f - (formerly) line 1403-1418: removed, causes uneven evolution of densities
- cpsolver.f - line 116/199: data statements are removed for those flags
************************************************
updates with respect to v2.11
- all data statements except slip systems are removed
- cpsolver.f - various places: gammadot==inf cases are handled
- element number and element type entries are avoided (automatically performed)
- in the first entry - no calculations are performed, time cut-back is applied
************************************************
updates with respect to v2.12
- correction required such that gradient_initialization is done after getting the IP coordinates
- 16-bit reals are avoided
************************************************
updates with respect to v2.13
- slip2screw mapping is corrected
- cpsolver.f - totalandforestdensity subroutine: Screw type densities of SSD are ignored
- usermaterials.f - matid=11: material properties are updated
************************************************
updates with respect to v2.14
- crss.f: Precipate hardening terms is added to UKAEA hardening model
- usermaterials.f: Material number 12 is added for CuCrZr
************************************************
updates with respect to v2.15
- useroutputs.f: Effective CRSS is added as outputs, number of outputs are increased to 30
- initialization.f - lines 875-900 : effective CRSS computation is performed
- cpsolver.f - lines 570-584: effective CRSS is computed initially and stored as a state variables hence calculation is voided
- useroutputs.f: Failure indicators using plastic dissipated power density and Fatemi-Socie parameter are added
- initialization.f - initial GND density can be used as an input state variable to the model
************************************************
updates with respect to v2.16
- crss.f: the index "is" was forgotton for calculation of tausub
************************************************
updates with respect to v2.17
- initializations.f -line 809: slip2screw matrix is assigned incorrectly. Important bug fix by C.Hardie.
- crss.f - lines 333-334: effect of screw dislocations on the forest density is turned back on again after the screw mapping is fixed.
************************************************
updates with respect to v2.18
- straingradients.f - subroutine calculateBmatPINV: slip2screw mapping is used to the slip rates on the screw system
************************************************
updates with respect to v2.19
- slip.f - lines 429: an if statement for small values of slip is added for double exponent slip law
************************************************
updates with respect to v2.20
- initializations.f - line 107: The number "100" in read statement is corrected to "200".
************************************************
updates with respect to v2.21
- usermaterial.f - various: Material model for EUROFER steel is added. (case(13))
************************************************
updates with respect to v2.22
- useroutputs.f - various: Fatemi Socie if statements are added to avoid 1/0 and 0 indexing
************************************************
updates with respect to v2.23
- initialization.f, OXFORD-UMAT.f - various: STRESS initialization added
- cpsolver.f - lines 1767-1775- - various: The rotation correction to use the total spin instead of elastic spin is corrected.
- cpsolver.f - line 1784: Rotation correcion is simplified.
************************************************
updates with respect to v2.24
Schmid_0 is corrected to be at the sample reference
************************************************
updates with respect to v2.25
- cpsolver.f - line 537: Schmid_0 is corrected
- initialization.f - various: PROPS is corrected
- usermaterials.f - lines 225-230: hardening interaction matrices are reset to identity instead of zero.
************************************************
updates with respect to v2.26
- UEXTERNALDB is separated from UMAT
- Residual deformation can be read from a file
************************************************
updates with respect to v3.0
- meshprop.f - line 1998: comment out the write statement about element type, misguides the user for reduced integration elements.
- globalvariables.f - line 726: typo corrected
- hardening.f - line 289: Unit for Boltzmann constant corrected (by Louis and Rui)
- UEXTERNALDB.f - line 326: "End Subroutine UEXTERNALDB" is added
- OXFORD-UMAT.f - line 284: "End Subroutine UMAT" is added
- slip.f and creep.f - various: Lp is calculated using deformed vectors (Schmid)
- cpsolver.f - lines 1054-1055/1057: extra lines deleted
- cpsolver.f - various: removed Lp based on undeformed vectors
- cpsolver.f - lines 1723-1769: modified integration of Lp based on deformed vectors
- globalvariables.f and intialization: Removed Schmidc_0_all variable
- userinputs.f - line 48: redundant input for the FG scheme removed
- cpsolver.f - line 642-643: thermal strains are updated using the initial orientation matrix not the deformed
- hardening.f, usermaterials.f, crss.f - various: Vikram Phalke new precipitate hardening model
- useroutputs.f - various: Lattice strain projects along a user-defined crytallographic plane
************************************************
updates with respect to v3.1
- OXFORD-UMAT.f - lines 250-261: 2D plane stress conversion is corrected!
- miscellaneous.f: this module is added for various functions used
- miscellaneous.f: findneighbours subroutine is added to find the points in the vicinity of each material point, radius is defined in "userinputs.f"
- useroutputs.f: outputs for "slip system activity" and "scalar rotation" are added.
- utilities.f: polar decomposition method is added
- cpsolver.f - lines 1853-1864: rotation update of the corotational stress is cancelled because UMAT is already accounting for that.
- cpsolver.f - line 794 and line 1508: backstress is subtracted to find the trial stress (correction from Louis96108).
************************************************
updates with respect to v3.2
- UEXTERNALDB.f: find neighbours of each IP if defined in userinputs.f by setting the flag "neighbourhood=1"
================================================
FILE: README.md
================================================
# CrystalPlasticity
CP UMAT and CZM UEL for Abaqus full details in: https://doi.org/10.1016/j.ijsolstr.2024.113110
The latest version of single crystal solver
Inputs (PROPS)
PROPS(1): phi1 - 1st Bunge angle
PROPS(2): PHI - 2nd Bunge angle
PROPS(3): phi2 - 3rd Bunge angle
PROPS(4): grain-ID
PROPS(5): material-ID
PROPS(6): "0" for using usermaterials.f / "1" for manual entry to PROPS
The user entries are given in userinputs.f / useroutputs.f / usermaterial.f files
Video Tutorials
1. Single crystal uniaxial test: https://youtu.be/T1bCw61qMLw
2. Dream3D2Abaqus polycrytal plasticity: https://youtu.be/s0r0Tgjc7Io
3.a. Neper polycrystal mesh generation: https://youtu.be/zAH1m9wIT_4
3.b. Neper2Abaqus polycrystal plasticity: https://youtu.be/FfixSufVZ30
References for the solver:
https://doi.org/10.1016/j.ijplas.2006.10.013
https://doi.org/10.1016/j.ijmecsci.2009.03.005
https://doi.org/10.1016/j.ijplas.2023.103773
References for the GND calculation:
https://doi.org/10.1016/j.ijplas.2018.05.001
https://doi.org/10.1016/j.ijplas.2024.104013
================================================
FILE: old version/NickelSuperalloy.f
================================================
C Christos Skamniotis
C University of Oxford
C December 2021
C
C Simplified Double exponent slip rule and empirical creep law for tertiary creep:
subroutine NickelSuperalloy(xNorm,xDir,tau,signtau,tauc,
+ burgerv,dtime,nSys,iphase,CurrentTemperature,Lp,
+ tmat,gammaDot, cubicslip,creep, usvars, nsvars)
implicit none
! number of slip system
integer, intent(in):: nSys
! activation flag for cubic slip (additional 6 systems activated when loading is along 111)
INTEGER,intent(in) :: cubicslip
! activation flag for tertiary creep
INTEGER,intent(in) :: creep
! phase
integer, intent(in):: iphase
! number of Abaqus state variables
INTEGER,intent(in) :: nsvars
! slip directions and normals
real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3)
! resolved shear stress and critical resolved shear stress
! and sign of the resolved shear stress
! tauc is positive by definition
real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys)
! Burgers vectors
real*8, intent(in) :: burgerv(nSys)
! time step
real*8, intent(in) :: dtime
! Temperature in Kelvin
real*8, intent(in) :: CurrentTemperature
! Abaqus state variables
REAL*8,intent(in) :: usvars(nsvars)
! plastic velocity gradient
real*8, intent(out) :: Lp(3,3)
! and its derivative with respect to the stress
real*8, intent(out) :: tmat(6,6)
! plastic strain rate on each slip system
real*8, intent(out) :: gammaDot(nSys)
! Boltzmann constant (J/K)
real*8, parameter :: kB = 1.38e-23
! Gas constant (J*mol/K)
real*8, parameter :: R = 8.314462
******************************************
** The following parameters must be set **
c
*** RATE DEPENDENT PLASTICITY (thermally activated glide)
! Activation energy for octahedral slip (J)
real*8, parameter :: Foctahedral = 9.39e-19
! Activation energy for cubic slip (J)
real*8, parameter :: Fcubic = 1.17e-18
! reference strain rate (1/s)
real*8, parameter :: gammadot0 = 1.0e7 ! real 1.0e-7
! rate sensitivity exponents
real*8, parameter :: p = 0.78 ! real 0.78
real*8, parameter :: q = 1.15 ! real 1.15
c
*** TERTIARY CREEP (dislocation climb & damage)
!!!! Initial creep rate constants
! Activation energy for creep (J/mol)
real*8, parameter :: Qo = 460000.0
! reference rate (1/s)
real*8, parameter :: ao = 4.0e8
! stress multiplier (1/MPa)
real*8, parameter :: bo = 3.2e-2
!!!! Climb/damage constants
! Activation energy for damage (J/mol)
real*8, parameter :: QD = 340000.0
! reference rate (1/s)
real*8, parameter :: aD = 6000000.0
! stress multiplier (1/MPa)
real*8, parameter :: bD = -5.0e-08
!!!! Rafting
C real*8, parameter :: SS = 100
C real*8, parameter :: TT = 1000
C real*8, parameter :: QQ = 20000
C real*8, parameter :: m = -3
** End of parameters to set **
******************************************
! slip system index
integer :: i
! Schmid tensor and its transpose
real*8 :: SNij(3,3), NSij(3,3)
! Schmid tensor and its transpose in Voigt notation
real*8 :: sni(6), nsi(6)
! higher order Schmid tensor in Voigt notation
real*8 :: SNNS(6,6)
! temporary slip normal and slip direction
real*8 :: tempNorm(3), tempDir(3)
! temporary variable to calculate the Jacobian
real*8 :: result1
! Jacobian
real*8 :: result4(6,6)
! activation energy
real*8 :: dF
! RSS/CRSS ratio
real*8 :: tau_ratio
C
C
C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
C
tmat = 0.0
Lp = 0.0
result4 = 0.0
! contribution to Lp of all slip systems
do i=1,nSys
tau_ratio=tau(i)/tauc(i)
if (tau_ratio >= 0.0) then
if (tau_ratio >= 1.0) then ! avoid negative values before elevating to power q
gammaDot(i) = signtau(i)*gammadot0 !*exp(-dF/(kB*CurrentTemperature))
else ! standard case
dF=Foctahedral
if (i .gt. 12) then
dF=Fcubic
end if
! strain rate due to thermally activated glide (rate dependent plasticity)
gammaDot(i) = signtau(i)*gammadot0*
+ exp(-(dF/(kB*CurrentTemperature))*(1- tau_ratio**p)**q)
end if
! add tertiary creep strain rate
if (creep == 1) then
gammaDot(i) = gammaDot(i) +
+ signtau(i)*ao*exp(bo*tau(i) -
+ Qo/(R*CurrentTemperature)) +
+ signtau(i)*abs(usvars(89+i))*aD*exp(bD*tau(i) -
+ QD/(R*CurrentTemperature))
end if
tempNorm = xNorm(i,:)
tempDir = xDir(i,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3)
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3)
call KGMATVEC6(SNij,sni)
call KGMATVEC6(NSij,nsi)
SNNS = spread(sni,2,6)*spread(nsi,1,6)
! calculate derivative d ( gammaDot(i) ) / d ( tau(i) )
result1 = abs(gammaDot(i))
result1 = result1 * dF/(kB*CurrentTemperature)
result1 = result1 * q
result1 = result1 * (1- tau_ratio**p)**(q-1.0)
result1 = result1 * p
result1 = result1 / tauc(i)
result1 = result1 * tau_ratio**(p-1.0)
if (creep == 1) then
result1 = result1 + ao*bo*
+ exp(bo*tau(i)-Qo/(R*CurrentTemperature)) +
+ abs(usvars(89+i))*aD*bD*
+ exp(bD*tau(i)-QD/(R*CurrentTemperature))
end if
! contribution to Jacobian
result4 = result4 + dtime*result1*SNNS
! plastic velocity gradient contribution
Lp = Lp + gammaDot(i)*SNij
else
gammaDot(i) = 0.0
end if
end do
tmat = 0.5*(result4+transpose(result4))
return
end
================================================
FILE: old version/README.md
================================================
UMAT for Abaqus written by Nicolò Grilli and Ed Tarleton based on UEL by Fionn Dunne.
Grilli, N., Tarleton, E. & Cocks, A.C.F. Coupling a discrete twin model with cohesive elements to understand twin-induced fracture. Int J Fract 227, 173–192 (2021). https://doi.org/10.1007/s10704-020-00504-9
# Usage instructions:
define a user material in Abaqus with
125 state dependent variables (SDV)
11 material constants
The first constant indicates the crystal type:
0 = HCP
1 = BCC
2 = BCC
3 = Carbide
4 = Olivine
5 = Orthorombic
The constants 2-10 contains the components of the rotation matrix
that transforms a vector from the crystal reference frame
to the sample (Abaqus) reference frame
The order of the components in the input file must be
R11, R12, R13, R21, R22, R23, R31, R32, R33
The 11th constant is the grain index
different for different grains
Therefore a polycrystal should be made with
different materials in abaqus
The parameters that must be set are in the variable declaration part
of the following files:
umat.for
kmat.f
kMaterialParam.f
The total number of bulk elements and cohesive interface elements
must be set in:
mycommon.f
If the twins are activates, it is necessary to set the number
of neighbouring points (NUpDown) in mycommon.f
and then set ArrayNUpDown as the product:
NUpDown * nElements * nintpts
A preliminary simulation must be run,
if the number of neighbouring points is not high enough
for the specific mesh, warning will be given in the .log file
The last warning line will contain the number that must be
assigned to NUpDown
IMPORTANT: when using discrete twin model
be sure no more such warnings are present in the .log
for reliable simulation results
kMaterialParam.f includes the elastic and plastic parameters
for different materials. If a new material is needed,
new parameters and material name must be introduced in this file
kRhoTwinInit.f is preset, but can be modified
if it is necessary to introduce a specific initial value
(for instance space dependent) of the dislocation density
or twin phase field
================================================
FILE: old version/SMAAspUserArrays.hdr
================================================
!=============================================================================
! COPYRIGHT DASSAULT SYSTEMES 2001-2013
!
! @CAA2Level L0
! @CAA2Usage U0
!
!=============================================================================
C
C Fortran interface to Global Allocatable Arrays for use in Parallel User Subroutines
C
C Arguments:
C ID -- arbitrary integer chosen by the user, used to locate the same array
C from any user subroutine. Max value for an ID is INT_MAX ( 2,147,483,647 ).
C SIZE -- max value for size is INT_MAX ( 2,147,483,647 )
C INITVAL -- initial value to initialize the arrays with
C Note:
C FloatArrays can be used to store both SINGLE and DOUBLE PRECISION values
INTERFACE
FUNCTION SMAIntArrayCreate( ID, SIZE, INITVAL ) ! -- Create an array or resize it
INTEGER(KIND=8) :: SMAIntArrayCreate ! returns a pointer to the newly allocated array
INTEGER(KIND=4) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
INTEGER(KIND=4) :: INITVAL ! initial value to initialize each value in the array with
END FUNCTION SMAIntArrayCreate
FUNCTION SMAIntArrayAccess(ID) ! -- Access an array
INTEGER(KIND=8) :: SMAIntArrayAccess ! -- Returns an address that can be associated with a Fortran pointer
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAIntArrayAccess
FUNCTION SMAIntArraySize(ID) ! -- Return the current size of the array as the number of integers
INTEGER(KIND=8) :: SMAIntArraySize
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAIntArraySize
SUBROUTINE SMAIntArrayDelete(ID) ! -- Delete an array with the given ID
INTEGER(KIND=4) :: ID ! Array ID
END SUBROUTINE SMAIntArrayDelete
FUNCTION SMAFloatArrayAccess( ID ) ! -- Get an address that can be associated with a Fortran pointer
INTEGER(KIND=8) :: SMAFloatArrayAccess ! -- Returns an address that can be associated with a Fortran pointer
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAFloatArrayAccess
FUNCTION SMAFloatArraySize( ID ) ! -- Return the current size of the array as the number of floats
INTEGER(KIND=8) :: SMAFloatArraySize
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAFloatArraySize
SUBROUTINE SMAFloatArrayDelete( ID )
INTEGER(KIND=4) :: ID ! Array ID
END SUBROUTINE SMAFloatArrayDelete
END INTERFACE
INTERFACE SMAFloatArrayCreate
INTEGER*8 FUNCTION SMAFloatArrayCreateSP( ID, SIZE, INITVAL ) ! returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
REAL(KIND=4), INTENT(IN) :: INITVAL ! initial value for each element of the array (SINGLE PRECISION)
END FUNCTION
INTEGER*8 FUNCTION SMAFloatArrayCreateDP( ID, SIZE, INITVAL ) ! returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
REAL(KIND=8), INTENT(IN) :: INITVAL ! initial value for each element of the array (DOUBLE PRECISION)
END FUNCTION
FUNCTION SMAFloatArrayCreateNoInit( ID, SIZE ) RESULT (PTR)
INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
END FUNCTION
END INTERFACE SMAFloatArrayCreate
!---------------------------------------------------------------------------------------------------------
! Real Arrays -- Allocatable arrays of 'Real'. This type switches its precision along with Explicit.
! Real is 32-bits long in single precision Explict, and 64-bits long in double precision.
!---------------------------------------------------------------------------------------------------------
! Usage:
! pointer(ptrra,ra) ! note: type of 'ra' should be implicit, not declared
!
! ptrra = SMARealArrayCreate(ID, SIZE)
! prtra = SMARealArrayCreate(ID, SIZE, INITVAL)
!---------------------------------------------------------------------------------------------------------
INTERFACE SMARealArrayCreate
FUNCTION SMARealArrayCreateSP( ID, SIZE, INITVAL ) RESULT (PTR)
INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
REAL(KIND=4), INTENT(IN) :: INITVAL ! (optional) initial value for each element of the array
END FUNCTION SMARealArrayCreateSP
FUNCTION SMARealArrayCreateDP( ID, SIZE, INITVAL ) RESULT (PTR)
INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
REAL(KIND=8), INTENT(IN) :: INITVAL ! (optional) initial value for each element of the array
END FUNCTION SMARealArrayCreateDP
FUNCTION SMARealArrayCreateNoInit( ID, SIZE ) RESULT (PTR)
INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array
INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 )
END FUNCTION SMARealArrayCreateNoInit
END INTERFACE
INTERFACE
FUNCTION SMARealArrayAccess( ID ) RESULT( PTR )
INTEGER(KIND=8) :: PTR ! -- Returns an address that can be associated with a Fortran pointer
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMARealArrayAccess
FUNCTION SMARealArraySize( ID ) ! -- Return the current size of the array as the number of floats
INTEGER(KIND=8) :: SMARealArraySize
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMARealArraySize
SUBROUTINE SMARealArrayDelete( ID )
INTEGER(KIND=4) :: ID ! Array ID
END SUBROUTINE SMARealArrayDelete
END INTERFACE
!--------------------------------------------------------------------------------------------------------
!
! Struct Arrays -- Allocatable arrays of Fortran or C/C++ Structs ( user defined types )
!
!--------------------------------------------------------------------------------------------------------
INTERFACE SMAStructArrayCreate
! -- Creates an array with a given ID, length = NUM_ITEMS; no initialization
integer*8 FUNCTION SMAStructArrayCreateNoInit(ARRAY_ID, NUM_ITEMS, ITEM_SIZE)
INTEGER(KIND=4),INTENT(IN) :: ARRAY_ID ! arbitrary ID chosen by the user
INTEGER(KIND=4),INTENT(IN) :: NUM_ITEMS ! max value is INT_MAX ( 2,147,483,647 )
INTEGER(KIND=8),INTENT(IN) :: ITEM_SIZE ! size of one struct in bytes as returned by SIZEOF()
END FUNCTION SMAStructArrayCreateNoInit
! -- Creates an array with a given ID and SIZE; each slot initialized to INITVAL
integer*8 FUNCTION SMAStructArrayCreateInit(ARRAY_ID,NUM_ITEMS,ITEM_SIZE,INITVAL)
INTEGER(KIND=4),INTENT(IN) :: ARRAY_ID ! arbitrary ID chosen by the user
INTEGER(KIND=4),INTENT(IN) :: NUM_ITEMS ! max value is INT_MAX ( 2,147,483,647 )
INTEGER(KIND=8),INTENT(IN) :: ITEM_SIZE ! size of one struct in bytes as returned by SIZEOF()
CLASS(*),INTENT(IN) :: INITVAL ! a struct used as initializer for each slot of the array
END FUNCTION SMAStructArrayCreateInit
END INTERFACE SMAStructArrayCreate
INTERFACE
! -- Return the size of the array as the number of structs (a 64-bit integer)
FUNCTION SMAStructArraySize(ID)
INTEGER(KIND=8) :: SMAStructArraySize
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAStructArraySize
! -- Delete the array with the given ID
SUBROUTINE SMAStructArrayDelete(ID)
INTEGER(KIND=4) :: ID ! Array ID
END SUBROUTINE SMAStructArrayDelete
! -- Access an array: return a pointer which can be associated with native array in Fortran
! If an attempt is made to access an array which does not exist (has not been created, or has been deleted).
! it will return 0.
FUNCTION SMAStructArrayAccess(ID)
INTEGER(KIND=8) :: SMAStructArrayAccess ! -- Returns an address that can be associated with a Fortran pointer
INTEGER(KIND=4) :: ID ! Array ID
END FUNCTION SMAStructArrayAccess
END INTERFACE
C
C Fortran interfaces to Allocatable Thread-Local Arrays for use in User Subroutines
C
C Arguments:
C ID -- arbitrary integer chosen by the user, used to locate/reference the same array
C from any other user subroutine.
C SIZE -- max value is INT_MAX ( 2,147,483,647 )
C INITVAL -- (optional) initial value to initialize the arrays with. If not supplied
C integer arrays will be initialized with INT_MAX, float arrays -- with NANS.
C Note:
C FloatArrays can be used to store both SINGLE and DOUBLE PRECISION values
INTERFACE SMALocalIntArrayCreate
! -- Creates an array with a given ID and SIZE; initialized to supplied INITVAL
integer*8 FUNCTION SMALocalIntArrayCreateInit(ID,SIZE,INITVAL)
INTEGER(KIND=4),INTENT(IN) :: ID
INTEGER(KIND=4),INTENT(IN) :: SIZE
INTEGER(KIND=4),INTENT(IN) :: INITVAL
END FUNCTION SMALocalIntArrayCreateInit
! -- Creates an array with a given ID and SIZE; initialized implicitly to INT_MAX
integer*8 FUNCTION SMALocalIntArrayCreateNoInit(ID,SIZE)
INTEGER(KIND=4),INTENT(IN) :: ID
INTEGER(KIND=4),INTENT(IN) :: SIZE
END FUNCTION SMALocalIntArrayCreateNoInit
END INTERFACE SMALocalIntArrayCreate
INTERFACE SMALocalIntArrayAccess
! -- Return an address that can be associated with a Fortran pointer
integer*8 FUNCTION SMALocalIntArrayAccess(ID)
INTEGER(KIND=4),INTENT(IN) :: ID
END FUNCTION SMALocalIntArrayAccess
END INTERFACE SMALocalIntArrayAccess
INTERFACE SMALocalIntArraySize
! -- Return the current size of the array as the number of integers
integer*4 FUNCTION SMALocalIntArraySize(ID)
INTEGER(KIND=4),INTENT(IN) :: ID
END FUNCTION SMALocalIntArraySize
END INTERFACE SMALocalIntArraySize
INTERFACE SMALocalFloatArrayCreate
! -- Creates an array with a given ID and SIZE
FUNCTION SMALocalFloatArrayCreateNoInit(ID,SIZE)
INTEGER(KIND=8) :: SMALocalFloatArrayCreateNoInit ! returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user
INTEGER(KIND=4),INTENT(IN) :: SIZE
END FUNCTION SMALocalFloatArrayCreateNoInit
! -- Creates an array with a given ID and SIZE; each slot initialized to SINGLE-PRECISION INITVAL
FUNCTION SMALocalFloatArrayCreateSP(ID,SIZE,INITVAL)
INTEGER(KIND=8) :: SMALocalFloatArrayCreateSP ! returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user
INTEGER(KIND=4),INTENT(IN) :: SIZE
REAL (KIND=4),INTENT(IN) :: INITVAL ! initial value for each element of the array (SINGLE PRECISION)
END FUNCTION SMALocalFloatArrayCreateSP
! -- Creates an array with a given ID and SIZE; each slot initialized to DOUBLE-PRECISION INITVAL
FUNCTION SMALocalFloatArrayCreateDP(ID,SIZE,INITVAL)
INTEGER(KIND=8) :: SMALocalFloatArrayCreateDP ! returns a pointer to the newly allocated array
INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user
INTEGER(KIND=4),INTENT(IN) :: SIZE
REAL (KIND=8),INTENT(IN) :: INITVAL ! initial value for each element of the array (DOUBLE PRECISION)
END FUNCTION SMALocalFloatArrayCreateDP
END INTERFACE SMALocalFloatArrayCreate
INTERFACE
! -- Get an address of the array that can be associated with a Fortran pointer
integer*8 FUNCTION SMALocalFloatArrayAccess(ID)
INTEGER(KIND=4),INTENT(IN) :: ID
END FUNCTION SMALocalFloatArrayAccess
! -- Return the current size of the array as the number of floats
integer*4 FUNCTION SMALocalFloatArraySize(ID)
INTEGER(KIND=4),INTENT(IN) :: ID
END FUNCTION SMALocalFloatArraySize
! -- Delete the array with the given ID
SUBROUTINE SMALocalIntArrayDelete(ID)
INTEGER, INTENT(IN) :: ID
END SUBROUTINE SMALocalIntArrayDelete
! -- Delete the array with the given ID
SUBROUTINE SMALocalFloatArrayDelete(ID)
INTEGER, INTENT(IN) :: ID
END SUBROUTINE SMALocalFloatArrayDelete
END INTERFACE
================================================
FILE: old version/SMAAspUserSubroutines.hdr
================================================
!=============================================================================
! COPYRIGHT DASSAULT SYSTEMES 2001-2013
!
! @CAA2Level L0
! @CAA2Usage U0
!
!=============================================================================
#include
#include
================================================
FILE: old version/SMAAspUserUtilities.hdr
================================================
!=============================================================================
! COPYRIGHT DASSAULT SYSTEMES 2001-2013
!
! @CAA2Level L0
! @CAA2Usage U0
!
!=============================================================================
C
C Fortran interface to utilities used in Parallel User Subroutines
C
INTERFACE
! Function to find out the number of threads in ABAQUS
FUNCTION GETNUMTHREADS ( ) RESULT( numThreads )
INTEGER(KIND=4) :: numThreads
END FUNCTION GETNUMTHREADS
! Get ID of the current thread ( an ABAQUS assigned integer )
FUNCTION get_thread_id ( ) RESULT ( threadID )
INTEGER(KIND=4) :: threadID
END FUNCTION get_thread_id
! Get ABAQUS MPI communicator or 0 if not in MPI mode
FUNCTION GETCOMMUNICATOR ( ) RESULT ( communicator )
INTEGER(KIND=4) :: communicator
END FUNCTION GETCOMMUNICATOR
! Initialize Mutex -- Typically, this is done at the
! beginning of the analysis in UXTERNALDB/VEXTERNALDB
SUBROUTINE MutexInit ( ID )
INTEGER(KIND=4) :: ID
END SUBROUTINE MutexInit
! Lock Mutex -- can be called anywhere after initialization
SUBROUTINE MutexLock ( ID )
INTEGER(KIND=4) :: ID
END SUBROUTINE MutexLock
! Unlock Mutex -- can be called anywhere after initialization
SUBROUTINE MutexUnlock ( ID )
INTEGER(KIND=4) :: ID
END SUBROUTINE MutexUnlock
END INTERFACE
================================================
FILE: old version/UEL.for
================================================
c 3D UEL for ABAQUS Code (Compatible with 8 node Brick Elements)
c By: Daniel Spring
c October 3rd, 2012
c
c References
c 1) Seong Hyeok Song "Fracture of Asphalt Concrete: A Cohesive
c Zone Modeling Approach Considering Viscoelastic Effects." PhD Thesis,
c Department of Civil and Environmental Engineering, UIUC, 2006.
c
c 2) Kyoungsoo Park. "Concrete Fracture Mechanics and Size Effect Using
c a Specialized Cohesive Zone Model" MS Thesis, Department of Civil and
c Environmental Engineering, UIUC, 2005.
c
c 3) "Cohesive fracture model for functionally graded fiber reinforced
c concrete" K. Park, G.H. Paulino, J. Roesler. Cement and Concrete
c Research. Vol 40, No. 6, pp. 956-965, 2010.
c
c 4) "A growing library of three-dimensional cohesive elements for
c use in ABAQUS" D. W. Spring, G. H. Paulino. Engineering Fracture
c Mechanics. Volume 126, August 2014, Pages 190-216
c
c Bilinear force-separation law included
c Nicolo Grilli
c University of Oxford
c 7 Luglio 2020
c
c The damage affects the stiffness tensor
c so that damaged stiffness is (1-D)K
c Introducing the off-diagonal Jacobian terms Dnt
c damage in shear included
c using the effetive displacement variable delta
c in Ortiz, Pandolfi, 1999
c
c =====================================================================
SUBROUTINE UEL (RHS, AMATRX, SVARS, ENERGY, NDOFEL, NRHS, NSVARS,
1 PROPS, NPROPS, COORDS, MCRD, NNODE, U, DU, V, A, JTYPE, TIME,
2 DTIME, KSTEP, KINC, JELEM, PARAMS, NDLOAD, JDLTYP, ADLMAG,
3 PREDEF, NPREDF, LFLAGS, MLVARX, DDLMAG, MDLOAD, PNEWDT, JPROPS,
4 NJPROP, PERIOD)
c
INCLUDE 'ABA_PARAM.INC'
c
include 'mycommon.f'
c
DIMENSION RHS(MLVARX,*),AMATRX(NDOFEL,NDOFEL),PROPS(*),
1 SVARS(*),ENERGY(8),COORDS(MCRD,NNODE),U(NDOFEL),
2 DU(MLVARX,*),V(NDOFEL),A(NDOFEL),TIME(2),PARAMS(*),
3 JDLTYP(MDLOAD,*),ADLMAG(MDLOAD,*),DDLMAG(MDLOAD,*),
4 PREDEF(2,NPREDF,NNODE),LFLAGS(*),JPROPS(*)
c
DIMENSION ds1(4),ds2(4),dn(4),Trac(MCRD,NRHS),
1 Trac_Jacob(MCRD,MCRD),R(MCRD,MCRD),coord_l(MCRD,NNODE),
2 GP_coord(2),sf(4),B(MCRD,NDOFEL),co_de_m(3,4),
3 B_t(NDOFEL,MCRD), Transformation_M(NDOFEL,NDOFEL),
4 Transformation_M_T(NDOFEL,NDOFEL),temp1(MCRD,NDOFEL)
c
DIMENSION stiff_l(NDOFEL,NDOFEL),temp2(NDOFEL,NDOFEL),
1 stiff_g(NDOFEL,NDOFEL),residual_l(NDOFEL,NRHS),
2 residual_g(NDOFEL,NRHS),aJacob_M(2,3),delu_loc_gp(mcrd),
3 co_de(mcrd,nnode),damage(4)
c
DOUBLE PRECISION delta0, deltaF, stiffK, stiffG, sigma0
c Normal and shear distance
DOUBLE PRECISION opn, opt, deltaortiz
c Map between cohesive elements and neighbouring bulk elements
real*8 :: cohelebulkmap(nElemUel,3)
c Twin volume fractions in the neighbouring elements
real*8 :: tvfneigh1(2), tvfneigh2(2)
integer :: tempelem, tempneighelem1, tempneighelem2
include 'CoheleBulkMap.f'
tempelem = JELEM - nElements ! number of the cohesive element
c Find indices of the neighbouring bulk elements
c and corresponding twin volume fraction
tempneighelem1 = cohelebulkmap(tempelem,2)
tempneighelem2 = cohelebulkmap(tempelem,3)
tvfneigh1(1:2) = 0.0
tvfneigh2(1:2) = 0.0
do i = 1,nintpts
tvfneigh1(1) = tvfneigh1(1) + kTwinVolFrac(tempneighelem1,i,1)
tvfneigh1(2) = tvfneigh1(2) + kTwinVolFrac(tempneighelem1,i,2)
end do
tvfneigh1(1) = tvfneigh1(1) / nintpts
tvfneigh1(2) = tvfneigh1(2) / nintpts
do i = 1,nintpts
tvfneigh2(1) = tvfneigh2(1) + kTwinVolFrac(tempneighelem2,i,1)
tvfneigh2(2) = tvfneigh2(2) + kTwinVolFrac(tempneighelem2,i,2)
end do
tvfneigh2(1) = tvfneigh2(1) / nintpts
tvfneigh2(2) = tvfneigh2(2) / nintpts
c
c Define Inputs========================================================
c
stiffK = PROPS(1) ! normal stiffness
stiffG = PROPS(2) ! shear stiffness
sigma0 = PROPS(3) ! max stress before failure
do j = 1,nnode
if (coords(1,j) .GT. 25.0) then
sigma0 = sigma0 * (1.0 + ((coords(1,j)-25.0)/5.0))
EXIT
end if
if (coords(1,j) .LT. 5.0) then
sigma0 = sigma0 * (1.0 + ((5.0-coords(1,j))/5.0))
EXIT
end if
end do
sigma0 = sigma0 - 400.0*max(abs(tvfneigh1(1)-tvfneigh2(1)),abs(tvfneigh1(2)-tvfneigh2(2)))
! output sigma0 in the bulk elements as the
! minimum on the four interface elements connected to
! that element
call MutexLock( 12 ) ! lock Mutex #12
do i = 1,nintpts
if (sigma0 < kSigma0(tempneighelem1,i)) then
kSigma0(tempneighelem1,i) = sigma0
end if
if (sigma0 < kSigma0(tempneighelem2,i)) then
kSigma0(tempneighelem2,i) = sigma0
end if
end do
call MutexUnlock( 12 ) ! unlock Mutex #12
delta0 = sigma0/stiffK ! max displacement before failure begins
deltaF = PROPS(4) ! displacement for complete failure
! 4 Gauss points at the surface of the cohesive element
GP_n=4d0
c
c Initialize Matrices and Vectors======================================
c
! shear and normal openings at the four nodes
! of the midsurface
call k_vector_zero(ds1,4) ! ds1 has dimension 4
call k_vector_zero(ds2,4) ! ds2 has dimension 4
call k_vector_zero(dn,4) ! dn has dimension 4
! traction vector and derivatives
! with respect to opening displacement vector
call k_matrix_zero(Trac,mcrd,nrhs) ! nrhs = 1 (apart from Riks analysis)
call k_matrix_zero(Trac_Jacob,mcrd,mcrd) ! Trac_Jacob(3,3)
! rotation matrix that transforms global coordinates
! into local coordinates of the midsurface frame of reference
call k_matrix_zero(R,mcrd,mcrd) ! R(3,3)
! coordinates of the nodes in the local frame of reference
call k_matrix_zero(coord_l,mcrd,nnode) ! coord_l(3,8)
call k_vector_zero(GP_coord,2) ! surface Gauss point coordinates (2D)
call k_vector_zero(sf,4) ! sf(4) = shape functions calculated at gauss points
! transformation matrices contain one R matrix for each node
call k_matrix_zero(Transformation_M,ndofel,ndofel) ! Transformation_M(24,24)
call k_matrix_zero(Transformation_M_T,ndofel,ndofel) ! Transformation_M_T(24,24)
! B(3,24) matrix connects global nodal displacement with local separation
call k_matrix_zero(B,mcrd,ndofel)
call k_matrix_zero(B_t,ndofel,mcrd)
call k_matrix_zero(temp1,mcrd,ndofel) ! used in B_t * Trac_Jacob * B
! stiffness matrix expressed in the local frame of reference
call k_matrix_zero(stiff_l,ndofel,ndofel) ! stiff_l(24,24)
call k_matrix_zero(temp2,ndofel,ndofel) ! used in T' * K * T
! stiffness matrix expressed in the global frame of reference
call k_matrix_zero(stiff_g,ndofel,ndofel) ! stiff_g(24,24)
! residual in the local and global coordinates
call k_matrix_zero(residual_l,ndofel,nrhs) ! residual_l(24,1)
call k_matrix_zero(residual_g,ndofel,nrhs) ! residual_g(24,1)
! rows contain vectors on the midsurface
call k_matrix_zero(aJacob_M,2,3)
! right hand side of the overall system of equations
! output for Abaqus
call k_matrix_zero(rhs,ndofel,nrhs) ! rhs(24,1)
! amatrx(24,24) is the stiffness matrix of cohesive element
! given by B^T R^T D_{loc} R B (Eq. 4 in Spring 2014)
! D_{loc} is the local tangent stiffness of the cohesive element
! R is the rotation matrix of nodal displacement
! local coordinates are determined by connecting the midside points of the cohesive elements
! R transforms the global coordinates into the local coordinates
call k_matrix_zero(amatrx,ndofel,ndofel)
! co_de(3,8) are the deformed coordinates of the nodes
call k_matrix_zero(co_de,mcrd,nnode)
a_Jacob=0.d0
! The following will create an infinite loop,
! giving sufficient time to attach the debugger to
! the running process once the program is running
debug = 0
DO WHILE(debug .eq. 1 .and. KINC == 1)
!paused for debugging
END DO
c
c Do local computations================================================
c Determine deformed coordinates
do i = 1,mcrd
do j = 1,nnode
co_de(i,j)=coords(i,j)+U(3.0*(j-1.0)+i)
end do
end do
c
c Do Calculations at Gauss Points======================================
c
c Begin cycling over Gauss points
c
do i = 1,GP_n
c
call k_matrix_zero(aJacob_M,2,3)
c
gpt = i ! Gauss point index
c Damage at Gauss point is stored into state variables
damage(i) = SVARS(i)
c
c Define rotation matrix R that transforms global coordinates
c into local coordinates referred to the midplane
c
call k_local_coordinates(gpt,co_de,R,coord_l,Transformation_M,
& Transformation_M_T,a_Jacob,aJacob_M,coords,u,ndofel,nnode,
& mcrd,SVARS,KINC)
c
c Compute shear and normal local opening displacements==================
c note that the order of the nodes is 1,2,3,4 on the bottom face
c corresponding to 5,6,7,8 on the top face
c Coordinates are in the midsurface reference frame
c
do j = 1,4
ds1(j)=coord_l(1,j+4)-coord_l(1,j)
ds2(j)=coord_l(2,j+4)-coord_l(2,j)
dn(j) =coord_l(3,j+4)-coord_l(3,j)
end do
c
c Determine the values of the shape function at Gauss Point i
c
call k_shape_fun(i,sf)
c
call k_vector_zero(delu_loc_gp,mcrd)
c
c Determine shear and normal opening displacements at Gauss points
c Coordinates are in the midsurface reference frame
c
do j = 1,4
delu_loc_gp(1)=delu_loc_gp(1)+ds1(j)*sf(j)
delu_loc_gp(2)=delu_loc_gp(2)+ds2(j)*sf(j)
delu_loc_gp(3)=delu_loc_gp(3)+dn(j)*sf(j)
end do
c
c Shear distance calculation
c
opn=delu_loc_gp(3)
opt=sqrt(delu_loc_gp(1)**2.0+delu_loc_gp(2)**2.0)
c
c Determine Traction vector and tangent modulus matrix
c Bilinear cohesive law
c Trac is a pressure
c Trac_Jacob is the derivative of Trac with respect to
c crack opening vector in the local frame of reference
c with coordinates in the midsurface reference frame
call k_cohesive_law(Trac,Trac_Jacob,stiffK,stiffG,sigma0,
& delta0,deltaF,delu_loc_gp,mcrd,nrhs,SVARS,damage(i),KINC,deltaortiz)
! assign new damage to state variables
! and to global variable
SVARS(i) = damage(i)
! output effective opening in the bulk elements as the
! maximum on the four interface elements connected to
! that element
call MutexLock( 15 ) ! lock Mutex #15
do j = 1,nintpts
if (deltaortiz > kDeltaEff(tempneighelem1,j)) then
kDeltaEff(tempneighelem1,j) = deltaortiz
end if
if (deltaortiz > kDeltaEff(tempneighelem2,j)) then
kDeltaEff(tempneighelem2,j) = deltaortiz
end if
end do
call MutexUnlock( 15 ) ! unlock Mutex #15
c
c Determine B matrix and its transpose
c B connects the displacement at the nodes with
c the crack opening along the midsurface
c
call k_Bmatrix(sf,B,mcrd,ndofel)
c
call k_matrix_transpose(B,B_t,mcrd,ndofel)
c
c Compute the stiffness matrix
c Local Stiffness = B_t * Trac_Jacob * B
c Calculated with coordinates in the midsurface reference frame
c
call k_matrix_multiply(Trac_Jacob,B,temp1,mcrd,mcrd,
& ndofel)
call k_matrix_multiply(B_t,temp1,stiff_l,ndofel,
& mcrd,ndofel)
c
c Compute Global stiffness matrix
c Global_K = T' * K * T
c Transformation_M rotates coordinates of each node
c from global to local system of the midsurface
c
call k_matrix_multiply(Transformation_M_T,stiff_l,
& temp2,ndofel,ndofel,ndofel)
call k_matrix_multiply(temp2,Transformation_M,stiff_g,
& ndofel,ndofel,ndofel)
c
c Multiply Jacobian with the Global stiffness and add contribution
c from each Gauss Point
c Equation 4 in Spring 2014
c a_Jacob is the scalar value of the area
c of the midsurface (for 1 Gauss point)
c
call k_matrix_plus_scalar(amatrx,stiff_g,a_Jacob,
& ndofel,ndofel)
c
c Compute the global residual vector
c Local_residual = B_t * Trac
c Global_residual = T' * Local_residual
c Equation 5 in Spring 2014
c
call k_matrix_multiply(B_t,Trac,residual_l,ndofel,
& mcrd,nrhs)
call k_matrix_multiply(Transformation_M_T,residual_l,
& residual_g,ndofel,ndofel,nrhs)
c
c Multiply the Global residual by the Jacobian and add the
c contribution from each point
c
call k_matrix_plus_scalar(rhs,residual_g,a_Jacob,
& ndofel,nrhs)
c
c End cycling over Gauss points
c
end do
c
return
end
c======================================================================
c=============================SUBROUTINES==============================
c======================================================================
c
c Determine the strain-displacement (B) matrix
c B connects the displacement at the nodes with
c the crack opening along the midsurface
c
subroutine k_Bmatrix(sf,B,mcrd,ndofel)
INCLUDE 'ABA_PARAM.INC'
dimension sf(4),B(mcrd,ndofel)
B(1,1) = sf(1)
B(1,4) = sf(2)
B(1,7) = sf(3)
B(1,10)= sf(4)
B(1,13)= -sf(1)
B(1,16)= -sf(2)
B(1,19)= -sf(3)
B(1,22)= -sf(4)
B(2,2) = sf(1)
B(2,5) = sf(2)
B(2,8) = sf(3)
B(2,11)= sf(4)
B(2,14)= -sf(1)
B(2,17)= -sf(2)
B(2,20)= -sf(3)
B(2,23)= -sf(4)
B(3,3) = sf(1)
B(3,6) = sf(2)
B(3,9) = sf(3)
B(3,12)= sf(4)
B(3,15)= -sf(1)
B(3,18)= -sf(2)
B(3,21)= -sf(3)
B(3,24)= -sf(4)
c
return
end
c======================================================================
c Bilinear cohesive law
c
subroutine k_cohesive_law(T,T_d,stiffK,stiffG,sigma0,
& delta0,deltaF,delu,mcrd,nrhs,SVARS,damage,KINC,deltaortiz)
INCLUDE 'ABA_PARAM.INC'
dimension T(mcrd,nrhs),T_d(mcrd,mcrd),delu(mcrd),SVARS(4)
DOUBLE PRECISION stiffK, stiffG, sigma0, delta0,
& deltaF, popn, popt, Tn, Tt, damage, deltaD, maxS,
& Dnn, Dnt, Dtt, Dtn
c weight factor in front of shear displacement
c determines how much shear contributes to damage
c corresponds to beta^2 in Ortiz, Pandolfi, 1999
DOUBLE PRECISION smaxratio
c effective displacement delta which determines the damage
c see Ortiz, Pandolfi 1999
DOUBLE PRECISION deltaortiz
c Derivatives of the damage with respect to popn and popt
c when damage is increase, otherwise zero
DOUBLE PRECISION ddamagedpopn, ddamagedpopt
DOUBLE PRECISION ddamagetemp
c
c Define normal and shear displacement
c
popn=delu(3)
popt=sqrt(delu(1)**2.0+delu(2)**2.0) ! always positive
! Damage accumulation
! equation holds for every case
! damage also in shear
! bilinear relationship determined by effective length deltaortiz
smaxratio = 0.1
if (popn .GT. 0.0) then
deltaortiz = sqrt(smaxratio*popt*popt + popn*popn) ! effective displacement > 0
else
deltaortiz = popt*sqrt(smaxratio) ! shear/compression damage > 0
end if
! deltaD is the value of deltaortiz
! above which the mechanical behaviour becomes softening
! calculated with the damage at the previous time step
! always > 0
deltaD = delta0*deltaF/(deltaF-damage*(deltaF-delta0))
if (damage .LT. 1.0) then
if (deltaortiz .GT. deltaF) then ! fully damaged
damage = 1.0
else
if (deltaortiz .GT. deltaD) then ! damage increase
damage = deltaF*(deltaortiz-delta0)/(deltaortiz*(deltaF-delta0))
end if ! otherwise constant
end if
else ! limit damage to 1.0
damage = 1.0
end if
c Determine load case and
c calculate the normal cohesive traction Tn
c and shear traction Tt
c
if (damage .LE. 0.0) then ! undamaged
! uploading (popn > 0)
! compression (popn < 0)
Tn = stiffK*popn
Tt = stiffG*popt
Dnn = stiffK
Dtt = stiffG
Dtn = 0.0 ! derivative of Tt with respect to popn
Dnt = 0.0 ! derivative of Tn with respect to popt
elseif (damage .GE. 1.0) then ! completely damaged
if (popn .GT. 0.0) then ! crack open
Tn = 0.0
Dnn = 0.0
else ! contact
Tn = stiffK*popn
Dnn = stiffK
end if
! shear traction always 0 when completely damaged
! because of no friction
Tt = 0.0
Dtt = 0.0
Dtn = 0.0 ! derivative of Tt with respect to popn
Dnt = 0.0 ! derivative of Tn with respect to popt
else ! partially damaged
if (deltaortiz .GT. deltaD) then ! damage increase
ddamagetemp = deltaF*delta0
ddamagetemp = ddamagetemp/(deltaortiz*deltaortiz*deltaortiz)
ddamagetemp = ddamagetemp/(deltaF-delta0)
ddamagedpopn = ddamagetemp*popn
ddamagedpopt = smaxratio*ddamagetemp*popt
else ! damage is constant -> no derivatives of damage
ddamagedpopn = 0.0
ddamagedpopt = 0.0
end if
Tt = (1.0-damage)*stiffG*popt
Dtt = (1.0-damage)*stiffG - stiffG*popt*ddamagedpopt
Dtn = -stiffG*popt*ddamagedpopn
if (popn .GT. 0.0) then
Tn = (1.0-damage)*stiffK*popn
Dnn = (1.0-damage)*stiffK - stiffK*popn*ddamagedpopn
Dnt = -stiffK*popn*ddamagedpopt
else ! contact
Tn = stiffK*popn
Dnn = stiffK
Dnt = 0.0
end if
end if
! assign components of the traction vector
T(3,1) = Tn
if (popt .EQ. 0.0) then ! avoid division by zero
T(1,1) = 0.0
T(2,1) = 0.0
else
T(1,1) = Tt*delu(1)/popt
T(2,1) = Tt*delu(2)/popt
end if
! assign components of the derivatives of
! the traction vector
T_d(3,3) = Dnn
if (popt .EQ. 0.0) then
T_d(1,1) = Dtt
T_d(1,2) = 0.0d00
T_d(1,3) = 0.0d00
T_d(2,1) = 0.0d00
T_d(2,2) = Dtt
T_d(2,3) = 0.0d00
T_d(3,1) = 0.0d00
T_d(3,2) = 0.0d00
else
T_d(1,1)=Dtt*(delu(1)/popt)**2.0+Tt*((delu(2)**2.0)/(popt
& **3.0))
T_d(1,2)=Dtt*delu(1)*delu(2)/(popt**2.0)
& -Tt*delu(1)*delu(2)/(popt**3.0)
T_d(1,3)=Dtn*delu(1)/popt
c
T_d(2,1)=T_d(1,2)
T_d(2,2)=Dtt*(delu(2)/popt)**2.0+Tt*((delu(1)**2.0)/(popt
& **3.0))
T_d(2,3)=Dtn*delu(2)/popt
T_d(3,1) = Dnt*delu(1)/popt
T_d(3,2) = Dnt*delu(2)/popt
end if
c
return
end
c=====================================================================
c determine the rotation matrix R that transforms
c global coordinates into local coordinates of the midsurface
c determine the Jacobian: a_Jacob, aJacob_M
c
subroutine k_local_coordinates(gpt,co_de,R,coord_l,Transformation_M,
& Transformation_M_T,a_Jacob,aJacob_M,coords,u,ndofel,nnode,
& mcrd, SVARS, KINC)
INCLUDE 'ABA_PARAM.INC'
dimension R(mcrd,mcrd),coord_l(mcrd,nnode),aJacob_M(2,3),
& Transformation_M(ndofel,ndofel),coords(mcrd,nnode),
& Transformation_M_T(ndofel,ndofel),u(ndofel),
& co_de(mcrd,nnode), co_de_m(3,4),SFD(2,4),SVARS(4)
! coordinate components of the 4 midpoints of the cohesive element
DOUBLE PRECISION x1, x2, x3, x4, y1, y2, y3, y4, y5, y6, z1, z2,
& z3, z4
c
! co_de_m(3,4) are the coordinates of the 4 midpoints of the cohesive element
call k_matrix_zero(co_de_m,3,4)
c
do i = 1,3
co_de_m(i,1)=(co_de(i,1)+co_de(i,5))*0.5
co_de_m(i,2)=(co_de(i,2)+co_de(i,6))*0.5
co_de_m(i,3)=(co_de(i,3)+co_de(i,7))*0.5
co_de_m(i,4)=(co_de(i,4)+co_de(i,8))*0.5
end do
!if (KINC == 1000) then
! write(*,*) 'co_de_m(1,2)'
! write(*,*) co_de_m(1,2)
! write(*,*) 'co_de_m'
! write(*,*) co_de_m
!end if
c
x1=co_de_m(1,1)
x2=co_de_m(1,2)
x3=co_de_m(1,3)
x4=co_de_m(1,4)
c
y1=co_de_m(2,1)
y2=co_de_m(2,2)
y3=co_de_m(2,3)
y4=co_de_m(2,4)
c
z1=co_de_m(3,1)
z2=co_de_m(3,2)
z3=co_de_m(3,3)
z4=co_de_m(3,4)
c
c Coordinates of the Gauss points in the reference element
c with edges in plus/minus 1
c
if (gpt .eq. 1) then
c_r=-sqrt(1.0d0/3.0d0)
c_s=-sqrt(1.0d0/3.0d0)
elseif (gpt .eq. 2) then
c_r= sqrt(1.0d0/3.0d0)
c_s=-sqrt(1.0d0/3.0d0)
elseif (gpt .eq. 3) then
c_r= sqrt(1.0d0/3.0d0)
c_s= sqrt(1.0d0/3.0d0)
elseif (gpt .eq. 4) then
c_r=-sqrt(1.0d0/3.0d0)
c_s= sqrt(1.0d0/3.0d0)
end if
c
c Shape function derivatives
c with respect to coordinates 1 and 2
c in the reference element = dphi/dxi
c
SFD(1,1) =-0.25*(1-c_s)
SFD(1,2) = 0.25*(1-c_s)
SFD(1,3) = 0.25*(1+c_s)
SFD(1,4) =-0.25*(1+c_s)
SFD(2,1) =-0.25*(1-c_r)
SFD(2,2) =-0.25*(1+c_r)
SFD(2,3) = 0.25*(1+c_r)
SFD(2,4) = 0.25*(1-c_r)
c
c Jacobian matrix: coordinates of the midpoints are multiplied
c by the derivatives dphi/dxi, since co_de_m * phi
c are the coordinates on the mid surface using shape function interpolation
c then aJacob_M = dx/dxi
c the two rows of aJacob_M are 3D vectors indicating the two edges
c of the mid surface
c
do i = 1,2
do j = 1,3
do k =1,4
aJacob_M(i,j) = aJacob_M(i,j) + SFD(i,k)*co_de_m(j,k)
end do
end do
end do
c
c Vector product to find the normal of the mid surface
c
dum1 = aJacob_M(1,2)*aJacob_M(2,3) - aJacob_M(1,3)*aJacob_M(2,2)
dum2 = aJacob_M(1,3)*aJacob_M(2,1) - aJacob_M(1,1)*aJacob_M(2,3)
dum3 = aJacob_M(1,1)*aJacob_M(2,2) - aJacob_M(1,2)*aJacob_M(2,1)
c
a_Jacob = sqrt(dum1**2 + dum2**2 + dum3**2)
c
c Third row of the rotation matrix is the surface normal
c see Eq. 7 in Spring 2014
c
R(3,1) = dum1/a_Jacob
R(3,2) = dum2/a_Jacob
R(3,3) = dum3/a_Jacob
c
c Definition of the first row of rotation matrix R
c as the first vector of aJacob_M, which is the vector on the mid surface
c determined by the coordinate c_s in the reference element
c
aLen=sqrt(aJacob_M(1,1)**2.0d00+aJacob_M(1,2)**2.0d00+aJacob_M(1,3)**2.0d00)
R(1,1)=aJacob_M(1,1)/aLen
R(1,2)=aJacob_M(1,2)/aLen
R(1,3)=aJacob_M(1,3)/aLen
c
c Definition of the second row of rotation matrix R
c as the vector product between midsurface normal and
c first vector of aJacob_M
c
aLen2a=R(3,2)*R(1,3)-R(3,3)*R(1,2)
aLen2b=R(3,3)*R(1,1)-R(3,1)*R(1,3)
aLen2c=R(3,1)*R(1,2)-R(3,2)*R(1,1)
c
aLen2 = sqrt(aLen2a**2.0d00 + aLen2b**2.0d00 + aLen2c**2.0d00)
c
R(2,1) = aLen2a/aLen2
R(2,2) = aLen2b/aLen2
R(2,3) = aLen2c/aLen2
c
c Components of the Jacobian matrix aJacob_M
c are recalculated
c a_J11 = aJacob_M(1,1)
c a_J12 = aJacob_M(1,3)
c a_J21 = aJacob_M(2,1)
c a_J22 = aJacob_M(2,3)
c
a_J11 = (-0.25*(1-c_s))*x1 + (0.25*(1-c_s))*x2 + (0.25*(1+c_s))*x3 +
& (-0.25*(1+c_s))*x4
a_J12 = (-0.25*(1-c_s))*z1 + (0.25*(1-c_s))*z2 + (0.25*(1+c_s))*z3 +
& (-0.25*(1+c_s))*z4
a_J21 = (-0.25*(1-c_r))*x1 + (-0.25*(1+c_r))*x2 + (0.25*(1+c_r))*x3 +
& (0.25*(1-c_r))*x4
a_J22 = (-0.25*(1-c_r))*z1 + (-0.25*(1+c_r))*z2 + (0.25*(1+c_r))*z3 +
& (0.25*(1-c_r))*z4
c
b_J11 = (-0.25*(1-c_s))*x1 + (0.25*(1-c_s))*x2 + (0.25*(1+c_s))*x3 +
& (-0.25*(1+c_s))*x4
b_J12 = (-0.25*(1-c_s))*y1 + (0.25*(1-c_s))*y2 + (0.25*(1+c_s))*y3 +
& (-0.25*(1+c_s))*y4
b_J21 = (-0.25*(1-c_r))*x1 + (-0.25*(1+c_r))*x2 + (0.25*(1+c_r))*x3 +
& (0.25*(1-c_r))*x4
b_J22 = (-0.25*(1-c_r))*y1 + (-0.25*(1+c_r))*y2 + (0.25*(1+c_r))*y3 +
& (0.25*(1-c_r))*y4
c
c_J11 = (-0.25*(1-c_s))*y1 + (0.25*(1-c_s))*y2 + (0.25*(1+c_s))*y3 +
& (-0.25*(1+c_s))*y4
c_J12 = (-0.25*(1-c_s))*z1 + (0.25*(1-c_s))*z2 + (0.25*(1+c_s))*z3 +
& (-0.25*(1+c_s))*z4
c_J21 = (-0.25*(1-c_r))*y1 + (-0.25*(1+c_r))*y2 + (0.25*(1+c_r))*y3 +
& (0.25*(1-c_r))*y4
c_J22 = (-0.25*(1-c_r))*z1 + (-0.25*(1+c_r))*z2 + (0.25*(1+c_r))*z3 +
& (0.25*(1-c_r))*z4
c
c The following are the components of the normal vector
c to the mid surface, calculated using vector product of
c aJacob_M(1,1:3) and aJacob_M(2,1:3)
c
a_Jacob1 = (a_J11*a_J22 - a_J12*a_J21)
a_Jacob2 = (b_J11*b_J22 - b_J12*b_J21)
a_Jacob3 = (c_J11*c_J22 - c_J12*c_J21)
c
c a_Jacob is the scalar value of the area
c of the midsurface (for 1 Gauss point)
c note that this area change from Gauss point
c to Gauss point
c
a_Jacob = sqrt(a_Jacob1**2.0d00 + a_Jacob2**2.0d00 + a_Jacob3**2.0d00)
c
c======================================================================
num=nnode
c
c Transformation_M(24,24) contains 8 times the rotation matrix
c on the diagonal 3x3 regions of the matrix
c It can rotate the coordinates of each node independently
c
do i = 1,num
dum=3.0*(i-1.0)
Transformation_M(dum+1,dum+1)=R(1,1)
Transformation_M(dum+1,dum+2)=R(1,2)
Transformation_M(dum+1,dum+3)=R(1,3)
Transformation_M(dum+2,dum+1)=R(2,1)
Transformation_M(dum+2,dum+2)=R(2,2)
Transformation_M(dum+2,dum+3)=R(2,3)
Transformation_M(dum+3,dum+1)=R(3,1)
Transformation_M(dum+3,dum+2)=R(3,2)
Transformation_M(dum+3,dum+3)=R(3,3)
end do
c
call k_matrix_transpose(Transformation_M,Transformation_M_T,
$ ndofel,ndofel)
c
c coord_l(3,8) are the coordinates of the cohesive element nodes
c expressed in the local coordinate system
c which is the coordinate system of the midsurface
c
do i = 1, nnode
coord_l(1,i)=(R(1,1)*co_de(1,i)+R(1,2)*co_de(2,i)
& +R(1,3)*co_de(3,i))
coord_l(2,i)=(R(2,1)*co_de(1,i)+R(2,2)*co_de(2,i)
& +R(2,3)*co_de(3,i))
coord_l(3,i)=(R(3,1)*co_de(1,i)+R(3,2)*co_de(2,i)
& +R(3,3)*co_de(3,i))
end do
c
!if (KINC == 2) then
! write(*,*) 'R(2,1)'
! write(*,*) R(2,1)
! write(*,*) 'R'
! write(*,*) R
!end if
c
return
end
c======================================================================
c Calculate shape function at gauss point i
c of the midsurface element
c
subroutine k_shape_fun(i,sf)
INCLUDE 'ABA_PARAM.INC'
dimension sf(4), GP_coord(2)
c
if (i .eq. 1) then
GP_coord(1)=-sqrt(1.0d0/3.0d0)
GP_coord(2)=-sqrt(1.0d0/3.0d0)
elseif (i .eq. 2) then
GP_coord(1)= sqrt(1.0d0/3.0d0)
GP_coord(2)=-sqrt(1.0d0/3.0d0)
elseif (i .eq. 3) then
GP_coord(1)= sqrt(1.0d0/3.0d0)
GP_coord(2)= sqrt(1.0d0/3.0d0)
elseif (i .eq. 4) then
GP_coord(1)=-sqrt(1.0d0/3.0d0)
GP_coord(2)= sqrt(1.0d0/3.0d0)
end if
c
sf(1)=(1-GP_coord(1))*(1-GP_coord(2))*0.25
sf(2)=(1+GP_coord(1))*(1-GP_coord(2))*0.25
sf(3)=(1+GP_coord(1))*(1+GP_coord(2))*0.25
sf(4)=(1-GP_coord(1))*(1+GP_coord(2))*0.25
c
return
end
c======================================================================
c Multiply matrices A and B to give C
c
subroutine k_matrix_multiply(A,B,C,l,n,m)
INCLUDE 'ABA_PARAM.INC'
dimension A(l,n),B(n,m),C(l,m)
c
call k_matrix_zero(C,l,m)
c
do i = 1, l
do j = 1, m
do k = 1, n
C(i,j)=C(i,j)+A(i,k)*B(k,j)
end do
end do
end do
c
return
end
c======================================================================
c Sum matrices with prefactor
c
subroutine k_matrix_plus_scalar(A,B,c,n,m)
INCLUDE 'ABA_PARAM.INC'
dimension A(n,m),B(n,m)
c
do i = 1, n
do j = 1, m
A(i,j)=A(i,j)+c*B(i,j)
end do
end do
c
return
end
c======================================================================
c Transpose matrix
subroutine k_matrix_transpose(A,B,n,m)
INCLUDE 'ABA_PARAM.INC'
dimension A(n,m),B(m,n)
c
do i = 1,n
do j = 1,m
B(j,i)=A(i,j)
end do
end do
c
return
end
c======================================================================
c Initialize all the components of a matrix to zero
subroutine k_matrix_zero(A,n,m)
INCLUDE 'ABA_PARAM.INC'
dimension A(n,m)
c
do i = 1, n
do j = 1, m
A(i,j)=0.d0
end do
end do
c
return
end
c======================================================================
c Initialize all the components of a vector to zero
subroutine k_vector_zero(A,n)
INCLUDE 'ABA_PARAM.INC'
dimension A(n)
c
do i = 1, n
A(i)=0.d0
end do
c
return
end
c======================================================================
c Calculate Macaulay brackets
subroutine k_Mac(pM,a,b)
INCLUDE 'ABA_PARAM.INC'
c
if ((a-b) .GE. 0.0) then
pM=a-b
elseif ((a-b) .LT. 0.0) then
pM=0.d0
end if
c
return
end
c======================================================================
c=================================END==================================
c======================================================================
================================================
FILE: old version/abaqus_v6.env
================================================
# Abaqus 2016 env file
memory="190 gb"
compile_fortran=['ifort','/Qmkl', # <-- MKL library
'/c','/DABQ_WIN86_64', '/extend-source', '/fpp',
'/iface:cref', '/recursive', '/Qauto-scalar',
'/QxSSE3', '/QaxAVX',
'/heap-arrays:1',
# '/Od', '/Ob0', # <-- Optimization Debugging
# '/Zi', # <-- Debugging
'/include:%I']
link_sl=['LINK',
'/nologo', '/NOENTRY', '/INCREMENTAL:NO', '/subsystem:console', '/machine:AMD64',
'/NODEFAULTLIB:LIBC.LIB', '/NODEFAULTLIB:LIBCMT.LIB',
'/DEFAULTLIB:OLDNAMES.LIB', '/DEFAULTLIB:LIBIFCOREMD.LIB', '/DEFAULTLIB:LIBIFPORTMD.LIB', '/DEFAULTLIB:LIBMMD.LIB',
'/DEFAULTLIB:kernel32.lib', '/DEFAULTLIB:user32.lib', '/DEFAULTLIB:advapi32.lib',
'/FIXED:NO', '/dll',
# '/debug', # <-- Debugging
'/def:%E', '/out:%U', '%F', '%A', '%L', '%B',
'oldnames.lib', 'user32.lib', 'ws2_32.lib', 'netapi32.lib', 'advapi32.lib']
================================================
FILE: old version/kCRSS.f
================================================
********************************************************
** KCRSS calculates the CRSS of slip and twin systems **
********************************************************
SUBROUTINE kCRSS(iphase,tauc,nSys,G12,burgerv,gndtot,irradiate,
+ tauSolute,gndcut,rhofor,rhosub,Temperature,homogtwin,
+ nTwinStart,nTwinEnd,twinvolfrac,tauctwin,nTwin,TwinIntegral,
+ twinvolfractotal,twinon)
INCLUDE 'ABA_PARAM.INC'
! crystal type
INTEGER,intent(in) :: iphase
! number of slip systems
INTEGER,intent(in) :: nSys
! total number of twin systems
INTEGER,intent(in) :: nTwin
! shear modulus for Taylor dislocation law
REAL*8,intent(in) :: G12
! Burgers vectors
REAL*8,intent(in) :: burgerv(nSys)
! scalar total GND density
REAL*8,intent(in) :: gndtot
! activate irradiation effect
INTEGER,intent(in) :: irradiate
! increase in tauc due to solute force
REAL*8,intent(in) :: tauSolute
! GND density (immobile)
REAL*8,intent(in) :: gndcut(nSys)
! forest dislocation density
REAL*8,intent(in) :: rhofor(nSys)
! substructure dislocation density
REAL*8,intent(in) :: rhosub
! Current temperature
REAL*8,intent(in) :: Temperature
! homogenize twin model
INTEGER,intent(in) :: homogtwin
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
INTEGER,intent(in) :: nTwinStart,nTwinEnd
! twin systems activation flag
INTEGER,intent(in) :: twinon
! twin volume fraction
REAL*8,intent(in) :: twinvolfrac(nTwin)
! average of the twin volume fraction
! over the neighbourhood
! two twin systems
REAL*8,intent(in) :: TwinIntegral(nTwin)
! total twin volume fraction
REAL*8,intent(in) :: twinvolfractotal
! critical resolved shear stress of slip systems
REAL*8,intent(inout) :: tauc(nSys)
! critical resolved shear stress of twin systems
REAL*8,intent(inout) :: tauctwin(nTwin)
INTEGER :: i
! check crystal type
if (iphase == 1) then
! Taylor dislocation law
tauc = tauc + 0.0065*G12*(burgerv(1))*sqrt(gndtot)
if (irradiate == 1) then
tauc = tauc + tauSolute
end if
else if (iphase == 2) then
! Taylor dislocation law
tauc = tauc + 0.32*G12*(burgerv(1))*sqrt(gndcut)
else if (iphase == 5) then
! alpha-Uranium model with forest and substructure dislocations
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tomé
! Deformation of wrought uranium: Experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
tauc(1) = tauc(1) + 19.066 * sqrt(rhofor(1)) + 1.8218 * sqrt(rhosub) * log(1.0 / (burgerv(1) * sqrt(rhosub)))
tauc(2) = tauc(2) + 18.832 * sqrt(rhofor(2)) + 1.7995 * sqrt(rhosub) * log(1.0 / (burgerv(2) * sqrt(rhosub)))
tauc(3) = tauc(3) + 54.052 * sqrt(rhofor(3)) + 5.1650 * sqrt(rhosub) * log(1.0 / (burgerv(3) * sqrt(rhosub)))
tauc(4) = tauc(4) + 54.052 * sqrt(rhofor(4)) + 5.1650 * sqrt(rhosub) * log(1.0 / (burgerv(4) * sqrt(rhosub)))
tauc(5) = tauc(5) + 123.357 * sqrt(rhofor(5)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(5) * sqrt(rhosub)))
tauc(6) = tauc(6) + 123.357 * sqrt(rhofor(6)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(6) * sqrt(rhosub)))
tauc(7) = tauc(7) + 123.357 * sqrt(rhofor(7)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(7) * sqrt(rhosub)))
tauc(8) = tauc(8) + 123.357 * sqrt(rhofor(8)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(8) * sqrt(rhosub)))
! Zecevic 2016 temperature dependence
tauc(1) = tauc(1) * exp(-(Temperature-293.0)/140.0)
tauc(2) = tauc(2) * exp(-(Temperature-293.0)/140.0)
tauc(3) = tauc(3) * exp(-(Temperature-293.0)/140.0)
tauc(4) = tauc(4) * exp(-(Temperature-293.0)/140.0)
tauc(5) = tauc(5) * exp(-(Temperature-293.0)/140.0)
tauc(6) = tauc(6) * exp(-(Temperature-293.0)/140.0)
tauc(7) = tauc(7) * exp(-(Temperature-293.0)/140.0)
tauc(8) = tauc(8) * exp(-(Temperature-293.0)/140.0)
! Daniel, Lesage, 1971 minimum value as minima
tauc(1) = max(tauc(1),4.0)
tauc(2) = max(tauc(2),4.0)
tauc(3) = max(tauc(3),4.0)
tauc(4) = max(tauc(4),4.0)
tauc(5) = max(tauc(5),4.0)
tauc(6) = max(tauc(6),4.0)
tauc(7) = max(tauc(7),4.0)
tauc(8) = max(tauc(8),4.0)
if (twinon == 1) then ! twin active
if (homogtwin == 1) then ! homogenized twin model
! add cross hardening of one twin system on the other
DO i=nTwinStart,nTwinEnd
tauctwin(i) = tauctwin(i) + 96.79*twinvolfractotal
END DO
else ! discrete twin model
! add hardening in the nucleation stage
! 50% is the critical twin volume fraction at which the
! softest value is reached
DO i=nTwinStart,nTwinEnd
if (twinvolfrac(i) < 0.5) then
tauctwin(i) = tauctwin(i) + 37.5*(0.5-twinvolfrac(i))
tauctwin(i) = tauctwin(i) + 2000.0*TwinIntegral(i)
else ! twinvolfrac(i) > 0.5
tauctwin(i) = tauctwin(i) + 37.5*(twinvolfrac(i)-0.5)
tauctwin(i) = tauctwin(i) + 2000.0*TwinIntegral(i)
end if
END DO
! local interaction between twin systems
! only when threshold is passed
if (twinvolfrac(nTwinEnd) > 0.5) then
tauctwin(nTwinStart) = tauctwin(nTwinStart) + 200.0*twinvolfrac(nTwinEnd)
end if
if (twinvolfrac(nTwinStart) > 0.5) then
tauctwin(nTwinEnd) = tauctwin(nTwinEnd) + 200.0*twinvolfrac(nTwinStart)
end if
end if ! choice of twin model (homogeneous/discrete)
end if ! twin active
end if ! check crystal type
RETURN
END
================================================
FILE: old version/kHardening.f
================================================
********************************************
** KHARDENING updates the state variables **
** that determine mechanical hardening **
********************************************
SUBROUTINE kHardening(pdot,p,plasStrainrate,dtime,slip,gammaDot,
+ nSys,irradiate,tauSolute,gammast,rhossd,iphase,rhofor,
+ Temperature,rhosub,twinon,twinvolfrac,nTwin,
+ nTwinStart,nTwinEnd,gammaTwinDot)
INCLUDE 'ABA_PARAM.INC'
! number of slip systems
INTEGER,intent(in) :: nSys
! plastic strain rate
REAL*8,intent(in) :: plasStrainRate(3,3)
! time increment
REAL*8,intent(in) :: dtime
! plastic shear rate on slip systems
! and absolute value
REAL*8,intent(in) :: gammadot(nSys)
! activate irradiation effect
INTEGER,intent(in) :: irradiate
! prefactor for SSD evolution equation
REAL*8,intent(in) :: gammast
! crystal type
INTEGER,intent(in) :: iphase
! Current temperature
REAL*8,intent(in) :: Temperature
! twin systems activation flag
INTEGER,intent(in) :: twinon
! total number of twin systems
INTEGER,intent(in) :: nTwin
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
INTEGER,intent(in) :: nTwinStart,nTwinEnd
! twin rate
REAL*8,intent(in) :: gammaTwinDot(nTwin)
! Von Mises invariant plastic strain rate
REAL*8,intent(inout) :: p
! crystallographic slip
! needed for model with irradiation
REAL*8,intent(inout) :: slip
! increase in tauc due to solute force
REAL*8,intent(inout) :: tauSolute
! total SSD density
REAL*8,intent(inout) :: rhossd
! forest dislocation density
REAL*8,intent(inout) :: rhofor(nSys)
! substructure dislocation density
REAL*8,intent(inout) :: rhosub
! twin volume fraction
REAL*8,intent(inout) :: twinvolfrac(nTwin)
! Von Mises invariant plastic strain rate
REAL*8,intent(out) :: pdot
! absolute value of the plastic shear rate on slip systems
REAL*8,dimension(nSys) :: tgammadot
INTEGER :: I
! calculate Von Mises invariant plastic strain rate
pdot=sqrt(2./3.*sum(plasStrainrate*plasStrainrate))
p = p + pdot*dtime
! update crystallographic slip
slip = slip + sum(abs(gammaDot))*dtime
! update solute force
if (irradiate == 1) then
tauSolute = 750.0*exp(-slip/0.025)
end if
!=========================================================================
! SSD Evolution
rhossd = rhossd + (gammast*pdot*dtime)
!=========================================================================
!=========================================================================
! Dislocation density evolution (explicit Euler time integration)
! alpha-Uranium model
if (iphase == 5) then
! slip independent of twin fraction
DO I=1,nSys
tgammaDot(I) = abs(gammaDot(I))
END DO
! forest dislocations evolution
! using constants from calibration of tensile bar 3
! using twin-slip interaction model
rhofor(1) = rhofor(1) + 43.2*max(sqrt(rhofor(1))-(0.17100+2.6093e-03*Temperature)*rhofor(1),0.0)*tgammaDot(1)*dtime
rhofor(2) = rhofor(2) + 6320.0*max(sqrt(rhofor(2))-(0.25650+5.8708e-04*Temperature)*rhofor(2),0.0)*tgammaDot(2)*dtime
rhofor(3) = rhofor(3) + 0.24*max(sqrt(rhofor(3))-(0.11718+1.9289e-04*Temperature)*rhofor(3),0.0)*tgammaDot(3)*dtime
rhofor(4) = rhofor(4) + 0.24*max(sqrt(rhofor(4))-(0.11718+1.9289e-04*Temperature)*rhofor(4),0.0)*tgammaDot(4)*dtime
rhofor(5) = rhofor(5) + 800.0*max(sqrt(rhofor(5))-(0.12+1.5e-05*Temperature)*rhofor(5),0.0)*tgammaDot(5)*dtime
rhofor(6) = rhofor(6) + 800.0*max(sqrt(rhofor(6))-(0.12+1.5e-05*Temperature)*rhofor(6),0.0)*tgammaDot(6)*dtime
rhofor(7) = rhofor(7) + 800.0*max(sqrt(rhofor(7))-(0.12+1.5e-05*Temperature)*rhofor(7),0.0)*tgammaDot(7)*dtime
rhofor(8) = rhofor(8) + 800.0*max(sqrt(rhofor(8))-(0.12+1.5e-05*Temperature)*rhofor(8),0.0)*tgammaDot(8)*dtime
! substructure dislocations evolution
rhosub = rhosub + 0.216*(17.545+0.26771*Temperature)*rhofor(1)*sqrt(rhosub)*tgammaDot(1)*dtime
! twin volume fraction evolution
! dot(f)^beta = dot(gamma)^beta / gamma^twin
! see Kalidindi JMPS 1998 (equations 32 and 33a)
! if twinvolfractot = 1.0 => all gammaTwinDot are zero => no evolution
! McCabe 2010: (130) twin induces a total strain 0.299
if (twinon == 1) then ! twin active
twinvolfrac(nTwinStart) = twinvolfrac(nTwinStart) + gammaTwinDot(nTwinStart)*dtime/0.299
twinvolfrac(nTwinEnd) = twinvolfrac(nTwinEnd) + gammaTwinDot(nTwinEnd)*dtime/0.299
end if
end if
RETURN
END
================================================
FILE: old version/kMaterialParam.f
================================================
********************************************
** KMATERIAL sets the material constants **
** for elasticity and plasticity **
********************************************
SUBROUTINE kMaterialParam(iphase,caratio,compliance,G12,thermat,
+ gammast,burgerv,nSys,tauc,screwplanes,Temperature,
+ tauctwin,nTwin,twinon,nTwinStart,nTwinEnd,
+ cubicslip)
! crystal type
INTEGER,intent(in) :: iphase
! number of slip systems
INTEGER,intent(in) :: nSys
! current temperature in Kelvin
REAL*8,intent(in) :: Temperature
! total number of twin systems
INTEGER,intent(in) :: nTwin
! twin systems activation flag
INTEGER,intent(in) :: twinon
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
INTEGER,intent(in) :: nTwinStart,nTwinEnd
! activate cubic slip systems for CMSX-4 alloy
INTEGER,intent(in) :: cubicslip
! c/a ratio for hcp crystals
REAL*8,intent(out) :: caratio
! elastic compliance matrix in the crystal reference frame
REAL*8,intent(out) :: compliance(6,6)
! shear modulus for Taylor dislocation law
REAL*8,intent(out) :: G12
! thermal eigenstrain to model thermal expansion
REAL*8,intent(out) :: thermat(3,3)
! prefactor for SSD evolution equation
REAL*8,intent(out) :: gammast
! Burgers vectors
REAL*8,intent(out) :: burgerv(nSys)
! critical resolved shear stress of slip systems
REAL*8,intent(out) :: tauc(nSys)
! number of screw planes
integer,intent(out) :: screwplanes
! critical resolved shear stress of twin systems
REAL*8,intent(out) :: tauctwin(nTwin)
******************************************
** The following parameters must be set **
! material name
! more materials can be added
! by modifying this subroutine
! materials available are the following:
! 'zirconium', 'alphauranium', 'tungsten', 'copper', 'carbide',
! 'olivine', 'CMSX4' (Nickel alloy)
character(len=*), parameter :: matname = 'alphauranium'
** End of parameters to set **
******************************************
! Burgers vector scalars
REAL*8 :: burger1, burger2
! Elastic constants scalars
REAL*8 :: E1, E2, E3, G13, v12, v13
REAL*8 :: G23, v23
! hcp: basal critical resolved shear stress
REAL*8 :: XTAUC1
! hcp: prismatic critical resolved shear stress
REAL*8 :: XTAUC2
! hcp: prismatic critical resolved shear stress
REAL*8 :: XTAUC4
! thermal expansion coefficients
REAL*8 :: alpha1, alpha2, alpha3
! temperature in Celsius
REAL*8 :: TCelsius
INTEGER :: i, j
TCelsius = Temperature - 273.5
! select crystal type
SELECT CASE(iphase)
case(0) !hcp
SELECT CASE(matname)
case('zirconium')
! Burgers vectors (um)
burger1 = 2.28E-4
burger2 = 4.242E-4 ! sqrt(a^2 + c^2)
caratio = 1.57
! elastic constants (MPa units)
E1 = 289.38E3
E3 = 335.17E3
G12 = 132.80E3
G13 = 162.50E3
v12 = 0.09
v13 = 0.04
! CRSS (MPa units)
XTAUC1 = 15.2 ! basal
XTAUC2 = 67.7 ! prismatic
XTAUC4 = 2000.0 ! pyramidal
! thermal expansion coefficients
alpha1 = 9.5D-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
! prefactor for SSD evolution equation
gammast = 0.0
case default
WRITE(*,*)"Not sure what material"
END SELECT
! elastic constants based on crystal symmetry
E2 = E1
G23 = G13
v23 = v13
! assign Burgers vector scalars
burgerv(1:6) = burger1
burgerv(7:12) = burger2
! assign CRSS
tauc(1:3) = XTAUC1
tauc(4:6) = XTAUC2
tauc(7:12) = XTAUC4
case(1) !bcc
SELECT CASE(matname)
case('tungsten')
! CRSS (MPa units)
XTAUC1 = 360.0
! Burgers vectors (um)
burger1 = 2.74E-4
! elastic constants (MPa units)
E1 = 421E3
G12 = 164.4E3
v12 = 0.28
! thermal expansion coefficients
alpha1 = 9.5e-6
alpha2 = alpha1
alpha3 = 0.5895*alpha1
! prefactor for SSD evolution equation
gammast = 0.0
case default
WRITE(*,*)"Not sure what material"
END SELECT
! elastic constants based on crystal symmetry
E2 = E1
E3 = E1
v13 = v12
v23 = v12
G13 = G12
G23 = G12
! assign Burgers vector scalars
burgerv = burger1
! assign CRSS: same for all slip systems
tauc = XTAUC1
case(2) !fcc
SELECT CASE(matname)
case('copper')
! CRSS (MPa units)
XTAUC1 = 20.0
! assign CRSS: same for all slip systems
tauc = XTAUC1
! Burgers vectors (um)
burger1 = 2.55E-4
! elastic constants (MPa units)
E1 = 66.69E3
v12 = 0.4189
G12 = 75.4E3
! thermal expansion coefficients
alpha1 = 13.0e-6
alpha2 = alpha1
alpha3 = alpha1
! prefactor for SSD evolution equation
gammast = 0.0
case('CMSX4')
c
! CRSS (MPa units)
if (TCelsius .LE. 850.0) then ! Celsius units
tauc=-0.000000001051*TCelsius**4 +
+ 0.000001644382*TCelsius**3 -
+ 0.000738679333*TCelsius**2 + 0.128385617901*TCelsius +
+ 446.547978926622
if (cubicslip == 1) then
tauc(13:18)=-0.000000001077*TCelsius**4 +
+ 0.000001567820*TCelsius**3 -
+ 0.000686532147*TCelsius**2 - 0.074981918833*TCelsius +
+ 571.706771689334
end if
else
tauc=-1.1707*TCelsius + 1478.9
if (cubicslip == 1) then
tauc(13:18)=-0.9097*TCelsius + 1183
end if
end if ! end temperature check
! TCelsius dependent stiffness constants (MPa units)
if (TCelsius .LE. 800.0) then ! Celsius units
C11=-40.841*TCelsius+251300
C12=-14.269*TCelsius+160965
else
C11=0.111364*TCelsius**2-295.136*TCelsius+382827.0
C12=-0.000375*TCelsius**3+1.3375*TCelsius**2 -
+ 1537.5*TCelsius+716000
end if ! end temperature check
G12=-0.00002066*TCelsius**3+0.021718*TCelsius**2 -
+ 38.3179*TCelsius+129864
E1 = (C11-C12)*(C11+2*C12)/(C11+C12)
v12 = E1*C12/((C11-C12)*(C11+2*C12))
! temperature dependent thermal expansion coefficient
alpha1 = 9.119E-9*TCelsius +1.0975E-5
! prefactor for SSD evolution equation
gammast = 0.0
case default
WRITE(*,*)"Not sure what material"
END SELECT
screwplanes = 2
! elastic constants based on crystal symmetry
E2 = E1
E3 = E1
v13 = v12
v23 = v12
G13 = G12
G23 = G12
! assign Burgers vector scalars
burgerv = burger
case(3) ! carbide
SELECT CASE(matname)
case('carbide')
! CRSS (MPa units)
XTAUC1 = 2300.0
! Burgers vectors (um)
burger = 3.5072e-4
! elastic constants (MPa units)
E1 = 207.0E+4
v12 = 0.28
! thermal expansion coefficients
alpha1 = 4.5e-6
alpha2 = alpha1
alpha3 = alpha1
case default
WRITE(*,*)"Not sure what material"
END SELECT
! elastic constants based on crystal symmetry
E3 = E1
v13 = v12
G12 = E1/(2.0*(1.0+v12))
G13 = G12
G23 = G12
! assign Burgers vector scalars
burgerv = burger
! assign CRSS: same for all slip systems
tauc = XTAUC1
case(4) ! olivine
SELECT CASE(matname)
case('olivine')
! CRSS (MPa units)
XTAUC1 = 2000.0
! Burgers vectors (um)
burger1 = 2.74E-4
! elastic constants (MPa units)
E1 = 421E3
v12 = 0.28
G12 = 164.4E3
! thermal expansion coefficients
alpha1 = 4.5e-6
alpha2 = alpha1
alpha3 = alpha1
case default
WRITE(*,*)"Not sure what material"
END SELECT
! elastic constants based on crystal symmetry
E2 = E1
E3 = E1
v13 = v12
v23 = v12
G13 = G12
G23 = G12
! assign Burgers vector scalars
burgerv = burger1
! assign CRSS
tauc(1:7) = XTAUC1*(/2.0,1.0,1.0,1.5,4.0,4.0,1.0/)
case(5) !alpha-Uranium
SELECT CASE(matname)
case('alphauranium')
! Burgers vectors (micrometre)
burgerv(1:2) = 2.85e-4
burgerv(3:4) = 6.51e-4
burgerv(5:8) = 11.85e-4
! Constant factor tau_0^alpha for CRSS (MPa)
! Calhoun 2013 values
! with temperature dependence as in Zecevic 2016
! added after hardening is included
tauc(1) = 24.5
tauc(2) = 85.5
tauc(3) = 166.5
tauc(4) = 166.5
tauc(5) = 235.0
tauc(6) = 235.0
tauc(7) = 235.0
tauc(8) = 235.0
! Daniel 1971, Figure 9
! softest value (MPa)
if (twinon == 1) then
tauctwin(nTwinStart) = 6.25
tauctwin(nTwinEnd) = 6.25
end if
! elastic moduli (MPa) and Poissons ratios
! see PRS Literature Review by Philip Earp
! Short Crack Propagation in Uranium, an Anisotropic Polycrystalline Metal
! temperature dependence according to Daniel 1971
E1 = 203665.987780 * (1.0 - 0.000935*(Temperature-293.0))
E2 = 148588.410104 * (1.0 - 0.000935*(Temperature-293.0))
E3 = 208768.267223 * (1.0 - 0.000935*(Temperature-293.0))
v12 = 0.242363
v13 = -0.016293
v23 = 0.387816
G12 = 74349.442379 * (1.0 - 0.000935*(Temperature-293.0))
G13 = 73421.439060 * (1.0 - 0.000935*(Temperature-293.0))
G23 = 124378.109453 * (1.0 - 0.000935*(Temperature-293.0))
! define thermal expansion coefficients as a function of temperature
! Lloyd, Barrett, 1966
! Thermal expansion of alpha Uranium
! Journal of Nuclear Materials 18 (1966) 55-59
alpha1 = 24.22e-6 - 9.83e-9 * Temperature + 46.02e-12 * Temperature * Temperature
alpha2 = 3.07e-6 + 3.47e-9 * Temperature - 38.45e-12 * Temperature * Temperature
alpha3 = 8.72e-6 + 37.04e-9 * Temperature + 9.08e-12 * Temperature * Temperature
case default
WRITE(*,*)"Not sure what material"
END SELECT
case default
WRITE(*,*)"Not sure what crystal type"
END SELECT
C *** SET UP ELASTIC STIFFNESS MATRIX IN LATTICE SYSTEM ***
C notation as in: https://en.wikipedia.org/wiki/Hooke%27s_law
C However, the Voigt notation in Abaqus for strain and stress vectors
C has the following order:
C stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
C strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23)
compliance(1,1:3) = (/1./E1,-v12/E1,-v13/E1/)
compliance(2,2:3) = (/1./E2,-v23/E2/)
compliance(3,3:3) = (/1./E3/)
compliance(4,4:4) = (/1./G12/)
compliance(5,5:5) = (/1./G13/)
compliance(6,6:6) = (/1./G23/)
! symmetrize compliance matrix
DO i=2,6
DO j=1,i-1
compliance(i,j)=compliance(j,i)
END DO
END DO
! define thermal eigenstrain in the lattice system
thermat(1,1) = alpha1
thermat(2,2) = alpha2
thermat(3,3) = alpha3
RETURN
END
================================================
FILE: old version/kRhoTwinInit.f
================================================
************************************
** Initialize dislocation density **
** and twin phase field **
************************************
SUBROUTINE kRhoTwinInit(nTwin,M,NSTATV,STATEV,twinon,nTwinStart,nTwinEnd,
+ iphase,COORDS,nSys)
INCLUDE 'ABA_PARAM.INC'
! dimension of the space
INTEGER,intent(in) :: M
! total number of twin systems
INTEGER,intent(in) :: nTwin
! twin activation flag
INTEGER,intent(in) :: twinon
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
INTEGER,intent(in) :: nTwinStart
INTEGER,intent(in) :: nTwinEnd
! crystal type
INTEGER,intent(in) :: iphase
! coordinates of this IP
REAL*8,intent(in) :: COORDS(3)
! number of slip systems
INTEGER,intent(in) :: nSys
REAL*8,intent(inout) :: STATEV(NSTATV)
! initial random twin phase field
real*8 :: TwinInitRand
! temporary twin directions and normals
real*8 :: ttwindir(M)
real*8 :: ttwinnor(M)
! rotation matrix needed to
! rotate twin directions and normals
real*8 :: gmatinv(M,M)
! twin directions and normals
real*8 :: dtwindir(nTwin,M)
real*8 :: dtwinnor(nTwin,M)
integer :: i, j
! twin directions are necessary
! to determine the Schmid tensor
! associated with the initial twins
include 'xTwinDirAlphaUranium.f'
! twin normals are necessary
! to determine the position of an IP with
! respect to a formed twin
include 'xTwinNormAlphaUranium.f'
! get rotation matrix from state variable
DO i=1,3
DO j=1,3
gmatinv(i,j) = STATEV(j+(i-1)*3)
END DO
END DO
if (twinon == 1) then ! twin active
DO i=nTwinStart,nTwinEnd ! cycle over active twin systems
! initial random twin volume fraction
CALL RANDOM_NUMBER(TwinInitRand)
TwinInitRand = 0.001*TwinInitRand
! twin of 2nd system at 45 degrees
if (i == nTwinEnd) then
if (abs(COORDS(1)-COORDS(2)) < 1.414) then
TwinInitRand = 0.49
end if
end if
! rotate twin direction and normal
! to find the Schmid tensor of the twin in the
! sample reference frame, use matmul(M,v) function
DO j=1,3
ttwindir(j) = dtwindir(i,j) ! already normalized
ttwinnor(j) = dtwinnor(i,j) ! already normalized
END DO
ttwindir = matmul(gmatinv,ttwindir)
ttwinnor = matmul(gmatinv,ttwinnor)
! initial plastic deformation
! found by tensor product of ttwindir and ttwinnor
STATEV(81) = STATEV(81) + 0.299*ttwindir(1)*ttwinnor(1)*TwinInitRand
STATEV(82) = STATEV(82) + 0.299*ttwindir(1)*ttwinnor(2)*TwinInitRand
STATEV(83) = STATEV(83) + 0.299*ttwindir(1)*ttwinnor(3)*TwinInitRand
STATEV(84) = STATEV(84) + 0.299*ttwindir(2)*ttwinnor(1)*TwinInitRand
STATEV(85) = STATEV(85) + 0.299*ttwindir(2)*ttwinnor(2)*TwinInitRand
STATEV(86) = STATEV(86) + 0.299*ttwindir(2)*ttwinnor(3)*TwinInitRand
STATEV(87) = STATEV(87) + 0.299*ttwindir(3)*ttwinnor(1)*TwinInitRand
STATEV(88) = STATEV(88) + 0.299*ttwindir(3)*ttwinnor(2)*TwinInitRand
STATEV(89) = STATEV(89) + 0.299*ttwindir(3)*ttwinnor(3)*TwinInitRand
! random initial twin volume fraction
STATEV(106+i) = TwinInitRand
END DO ! end cycle over active twin systems
end if ! twin active
! see: Grilli, Cocks, Tarleton
! A phase field model for the growth and characteristic thickness of deformation-induced twins
! Journal of the Mechanics and Physics of Solids, Volume 143, October 2020, 104061
if (iphase == 5) then
! initial substructure dislocation density, alpha-Uranium
STATEV(65) = 4.0
! initial forest dislocation densities
do i=1,nSys
STATEV(56+i) = 4.0
end do
end if
RETURN
END
================================================
FILE: old version/kcurlET.f
================================================
C STRAIN GRADIENTS
C *******************************************************************************
C * Compute Curl of a 2nd order tensor *
C * As a vector, curl of row written in corresponding column *
C * Full integration *
C *******************************************************************************
SUBROUTINE kcurlET(curlFp,Fp,xnat,gauss,gausscoords)
INCLUDE 'ABA_PARAM.INC'
integer, parameter:: nnodes=8
!scalars
real*8,intent(out) :: curlFP(8,9)
!arrays gauss is gauss coordinates of isoparametric element in (s1,s2,s3) space
real*8,intent(in) :: xnat(nnodes,3),gauss(nnodes,3),
+ gausscoords(3,nnodes), Fp(8,9)
real*8 :: J(3,3),Jinv(3,3),dNds(nnodes,3),dndx(nnodes,3),
+ fnode(3,nnodes), fmat1(3,3),dmout(3,3),N(nnodes), z(3)
!Extrapolation arrays
real*8 :: z11i(nnodes),z11n(nnodes),z12i(nnodes),z12n(nnodes),
+ z13i(nnodes),z13n(nnodes),z21i(nnodes),z21n(nnodes),z22i(nnodes),
+ z22n(nnodes),z23i(nnodes),z23n(nnodes),z31i(nnodes),z31n(nnodes),
+ z32i(nnodes),z32n(nnodes),z33i(nnodes),z33n(nnodes),
+ Nmat(nnodes,nnodes),xnmatI(nnodes,nnodes)
real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss
fnode = 0.;fmat1 = 0.;Nmat=0.;xnmatI=0.
z11i=0.;z11n=0.;z12i=0.;z12n=0.;z13i=0.;z13n=0.
z21i=0.;z21n=0.;z22i=0.;z22n=0.;z23i=0.;z23n=0.
z31i=0.;z31n=0.;z32i=0.;z32n=0.;z33i=0.;z33n=0.
C
C USE EIGHT GAUSS POINT FOR GRADIENTS
C
C LOOP OVER EIGHT INTEGRATION POINTS
! Evaluate curlT at the integration points, and simultaneously populate Nmat which will be later inverted for extrapolation purposes.
do kint2 = 1,8
C SPECIFY z - INTEGRATION POINT
z = gauss(kint2,1:3)
C SHAPE FUNCTIONS AND DERIVATIVES
do i = 1,nnodes
ri = xnat(i,1)
si = xnat(i,2)
ti = xnat(i,3)
!---------------------------
gr = 0.5*(1. + ri*z(1))
dgr = 0.5*ri
!---------------------------
gs = 0.5*(1.+si*z(2))
dgs = 0.5*si
!---------------------------
gt = 0.5*(1.+ti*z(3))
dgt = 0.5*ti
!---------------------------
N(i) = gr*gs*gt
!---------------------------
dNds(i, 1) = dgr*gs*gt ! dnds1(i)
dNds(i, 2) = gr*dgs*gt ! dnds2(i)
dNds(i, 3) = gr*gs*dgt ! dnds3(i)
end do
Nmat(kint2,:) = N
C
C SET UP JACOBIAN
C
J = matmul(gausscoords,dNds)
C AND ITS INVERSE
C
call KDETER(J,det)
if (abs(det) <= 1.0e-6 .or. det /= det) then !last part true if det=NaN
dmout = 0.0
else
call lapinverse(J,3,info,Jinv)
if(info /= 0) then
write(6,*) "inverse failure: J in kcurl"
end if
C
dndx = matmul(dNds,Jinv)
C
C DETERMINE first column of curlf: Read row, to determine column.
C
C
fnode(1:3, 1:8) = transpose(Fp(1:8,1:3))
fmat1 = matmul(fnode,dndx)
!Curlfp at integeration points
z11i(kint2) = fmat1(3,2) - fmat1(2,3)
z21i(kint2) = fmat1(1,3) - fmat1(3,1)
z31i(kint2) = fmat1(2,1) - fmat1(1,2)
C
C DETERMINE second column of curlf
C
C
fnode(1:3, 1:8) = transpose(Fp(1:8,4:6))
fmat1 = matmul(fnode,dndx)
!Curlfp at integeration points
z12i(kint2) = fmat1(3,2) - fmat1(2,3)
z22i(kint2) = fmat1(1,3) - fmat1(3,1)
z32i(kint2) = fmat1(2,1) - fmat1(1,2)
C
C DETERMINE third column of curlf
C
C
fnode(1:3, 1:8) = transpose(Fp(1:8,7:9))
fmat1 = matmul(fnode,dndx)
!Curlfp at integeration points
z13i(kint2) = fmat1(3,2) - fmat1(2,3)
z23i(kint2) = fmat1(1,3) - fmat1(3,1)
z33i(kint2) = fmat1(2,1) - fmat1(1,2)
C
end if
end do !kint2
!All integration points done. Extrapolation begins
call lapinverse(Nmat,nnodes,info2,xnmatI)
if(info2 /= 0) then
write(6,*) "inverse failure: xnmat in kcurl"
end if
z11n = matmul(xnmatI,z11i)
z21n = matmul(xnmatI,z21i)
z31n = matmul(xnmatI,z31i)
z12n = matmul(xnmatI,z12i)
z22n = matmul(xnmatI,z22i)
z32n = matmul(xnmatI,z32i)
z13n = matmul(xnmatI,z13i)
z23n = matmul(xnmatI,z23i)
z33n = matmul(xnmatI,z33i)
!The storage is done by row.
do kint=1,nnodes
curlFp(kint,1) = z11n(kint)
curlFp(kint,2) = z12n(kint)
curlFp(kint,3) = z13n(kint)
curlFp(kint,4) = z21n(kint)
curlFp(kint,5) = z22n(kint)
curlFp(kint,6) = z23n(kint)
curlFp(kint,7) = z31n(kint)
curlFp(kint,8) = z32n(kint)
curlFp(kint,9) = z33n(kint)
end do !kint
C
RETURN
END
C
C
================================================
FILE: old version/kdirns.f
================================================
subroutine kdirns(xrot,TwinRot,iphase,L,nTwin,
+ ddir1,dnor1,dtwindir1,dtwinnor1,
+ caratio,cubicslip)
implicit none
integer :: i,j,k,slip
integer,parameter :: m = 3
integer,intent(in):: iphase,L,nTwin
real*8,intent(in):: xrot(m,m), TwinRot(nTwin,m,m), caratio
! activate cubic slip systems for CMSX-4 alloy
INTEGER,intent(in) :: cubicslip
real*8,intent(out) :: ddir1(L,m),dnor1(L,m)
real*8,intent(out) :: dtwindir1(nTwin,m),dtwinnor1(nTwin,m)
real(kind=8) :: ddir(L,m),dnor(L,m)
real(kind=8) :: dtwindir(nTwin,m),dtwinnor(nTwin,m)
real(kind=8) :: tdir(m),tnor(m),ttwindir(m),ttwinnor(m)
real(kind=8) :: tdir1(m),tnor1(m),ttwindir1(m),ttwinnor1(m)
real(kind=8):: xdirmag,xnormag,xtwindirmag,xtwinnormag
ddir1 = 0.0; dnor1 = 0.0
if(iphase .eq. 0) then !hcp
include 'xDir0ET.f'
include 'xNorm0ET.f'
else if(iphase .eq. 1) then !bcc (24/48)
include 'xDir1.f'
include 'xNorm1.f'
else if(iphase .eq. 2) then !fcc (12)
if (cubicslip == 0) then ! cubic slip
include 'xDir2.f'
include 'xNorm2.f'
else
include 'xDir2c.f'
include 'xNorm2c.f'
end if
else if (iphase .eq. 4) then ! olivine (7)
include 'xDir4.f'
include 'xNorm4.f'
else if (iphase .eq. 5) then ! alpha-Uranium (8)
include 'xDirAlphaUranium.f'
include 'xNormAlphaUranium.f'
include 'xTwinDirAlphaUranium.f'
include 'xTwinNormAlphaUranium.f'
end if
do k=1,L ! rotate slip directions (without twinning)
do i=1,m
tdir(i) = ddir(k,i)
tnor(i) = dnor(k,i)
end do
if(iphase .eq. 0) then !hcp ET added
tdir(3) = tdir(3)*caratio
tnor(3) = tnor(3)/caratio
end if
tdir1 = matmul(xrot,tdir)
tnor1 = matmul(xrot,tnor)
xdirmag = sqrt(dot_product(tdir1,tdir1))
xnormag = sqrt(dot_product(tnor1,tnor1))
do i=1,m
ddir1(k,i) = tdir1(i)/xdirmag
dnor1(k,i) = tnor1(i)/xnormag
end do
end do
if (iphase .eq. 5) then ! alpha-Uranium (2 twin systems)
do k=1,nTwin ! rotate twin direction and normal with gmatinv
do i=1,m
ttwindir(i) = dtwindir(k,i)
ttwinnor(i) = dtwinnor(k,i)
end do
ttwindir1 = matmul(xrot,ttwindir) ! rotation with gmatinv
ttwinnor1 = matmul(xrot,ttwinnor)
xtwindirmag = sqrt(dot_product(ttwindir1,ttwindir1))
xtwinnormag = sqrt(dot_product(ttwinnor1,ttwinnor1))
do i=1,m ! assign value to output
dtwindir1(k,i) = ttwindir1(i)/xtwindirmag
dtwinnor1(k,i) = ttwinnor1(i)/xtwinnormag
end do
end do
end if
return
end
================================================
FILE: old version/kgndl2ET.f
================================================
!Least Squares Density Minimisation
subroutine kgndl2ET(curlFp,xNin,xDin,tau,burgerv,iphase,ne,ns,
+ screwplanes,jelem,kint,time,gndall,gndcut,gndmob)
! implicit real*8(a-h,o-z)
implicit none
integer :: i,m,n,ialloc,info
real*8 :: det, costheta, sumtau
real*8,parameter :: zero = 1.0e-6
integer,intent(in):: ne,iphase,jelem,kint,ns,screwplanes
real*8,intent(in) :: time(2)
real*8,intent(in) :: curlFp(3,3),xNin(ne,3),xDin(ne,3),tau(ne),
+ burgerv(ne)
real*8,dimension(3,3) :: xrot,btdyad,bsdyad
real*8,dimension(3) :: tempn,temps,tempt
real*8,dimension(9) :: btvec,bsvec,gv
real*8,dimension(ne+ns,3) :: xLine
real*8, dimension(ne,ne+ns) :: tdotn
!real*8,dimension(:,:),allocatable :: A,A1,A2,Ainv
!real*8,dimension(:),allocatable :: xvec,absgnds
real*8,dimension(9,ne+ns) :: A
real*8,dimension(ne+ns,9) :: Ainv
real*8,dimension(9,9) :: A1, A2
real*8,dimension(ne+ns):: xvec
!real*8,dimension(:),allocatable :: xvec
real*8, dimension(ne) :: gnde
real*8, dimension(ns) :: gnds
integer,dimension(ns) :: screw
integer, dimension(ne) :: stype
integer, dimension(ne, screwplanes-1) :: sgroup
character (len=*), parameter :: fmt2 = "(24(' ',(I2,1X)))",
+ fmt3="(3(' ',(ES11.3,1X)))",
+ fmt9 = "(9(' ',(ES11.3,1X)))",fmt33 = "(33(' ',(ES11.3,1X)))"
real*8,intent(out) :: gndall(ne+ns), gndcut(ne), gndmob
integer :: j
!EXTERNAL DGELSD
!select case(iphase)
!case (0); ns = 9; ne=12; !HCP
!case (1); ns = 4; ne=24 !BCC
!case (2); ns = 6; ne=12 !FCC
!case (4); ns = 2; ne=7 !olivine
!end select
!allocate(absgnds(ns), STAT=ialloc)
select case(iphase) !build up the screw slip systems
case(0) !HCP
! slip
screw(1) = 1
screw(2) = 2
screw(3) = 3
!
screw(4) = 7
screw(5) = 8
screw(6) = 9
screw(7) = 10
screw(8) = 11
screw(9) = 12
case(1) ! BCC
!a/2<111>
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 6
case(2) ! FCC
screw(1) = 1
screw(2) = 2
screw(3) = 3
screw(4) = 4
screw(5) = 6
screw(6) = 8
case(4) ! olivine
screw(1) = 1
screw(2) = 3
end select
gnde = 0.; gnds = 0.; gndall = 0.0; gndcut = 0.0; gndmob =0.0
!Compute the geometric dislocation tensor
gv = reshape(curlFp,(/9/))!This happens by column.
!===BEGIN LONG IF
if(maxval(abs(gv)) <= zero) then
!Trying to handle the situation when G = 0.
gnde = 0.; gnds = 0.
else
m = 9; n = ne+ns
!allocate(A(m,n),Ainv(n,m),xvec(n),STAT=ialloc)
A = 0.; Ainv = 0.; xvec=0.
!m < n !right inverse
!allocate(A1(m,m),A2(m,m),STAT=ialloc)
A1=0.; A2=0.
!Construct the matrix of dyadics
!Edge
do i = 1,ne
tempn = xNin(i,:)
temps = xDin(i,:)
CALL KVECPROD(temps,tempn,tempt)
btdyad = spread(tempt,2,3)*spread(temps,1,3)*burgerv(i)
A(:,i) = reshape(btdyad,(/9/))
xLine(i,:) = tempt
end do
do i = 1,ns
j = screw(i)
temps = xDin(j,:)
tempt = temps
btdyad = spread(tempt,2,3)*spread(temps,1,3)*burgerv(i)
A(:,ne+i) = reshape(btdyad,(/9/))
xLine(ne+i,:) = tempt
end do
! if ((jelem == 7910 .or. jelem == 8010) .and. kint == 6) then
! write(6,*) "A, ne",ubound(A,1),ubound(A,2),ne
! write(6,fmt33) (A(k,:),k=1,ubound(A,1)) !Print rows
! write(6,*)
! end if
!! call ksvd(A,m,n,Ainv)
!
! m < n right inverse
A1 = matmul(A,transpose(A)) ![9x9] = [9xn][nx9]
call lapinverse(A1,m,info,A2)
if(info /= 0) write(*,*) "inverse failure: A1 in kgndl2"
Ainv = matmul(transpose(A),A2) ![nx9]=[nx9][9x9]
!three-ifs solution
xvec = matmul(Ainv,gv) ![nx1] = [nx9][9x1]
do i=1,ne+ns !ubound(xvec,1)
if (xvec(i) /= xvec(i)) then
xvec(i) = 0.0
write(*,*) "error in kgndl2 jelem,kint,time",jelem,kint,time
end if
end do
!Density to output
gndall = sqrt(xvec*xvec) !sqrt(gnde*gnde +gnds*gnds)
!deallocate(A,A1,A2,Ainv,xvec)
where(gndall > 1.0E7) gndall = 1.0E7 !catching infinities. 1.0e7 for microns, 1.0e19 for metres.
do i =1,ne
tempn = xNin(i,:)
do j=1,n
tempt = xLine(j,:)
CALL KDOTPROD(tempt,tempn,costheta)
tdotn(i,j) = costheta
end do
end do
gndcut= matmul(tdotn,gndall)
gnde = gndall(1:ne)
gnds = gndall(ne:ne+ns)
!do i =1,ne
! j = stype(i)
!
! sumtau = tau(i)
! do n=1,screwplanes-1 ! other possible slip planes which screw could glide on
! sumtau = sumtau + tau(sgroup(i,n))
! end do
!
! gndmob(i) = gnde(i) + gnds(j)*tau(i)/sumtau
!end do
!Ben's experimental data storage groups
!absgnde = sqrt(gnde*gnde); absgnds = sqrt(gnds*gnds)
!if(iphase == 0) then
!!edge
!abasedge = sum(absgnde(1:3))
!aprismedge = sum(absgnde(4:6))
!apyramedge = sum(absgnde(7:12))
!capyramedge = sum(absgnde(13:18))
!!screw
!ascrew = sum(absgnds(1:3))
!capyramscrew = sum(absgnds(4:9))
!end if
!
!===END LONG IF
end if
return
end
================================================
FILE: old version/kmat.f
================================================
********************************************
** KMAT calculates the material behaviour **
** Global stiffness matrix and stress **
********************************************
SUBROUTINE kmat(dtime,nsvars,usvars,xI,jelem,kint,time,F,
+ L,iphase,irradiate,C,stressvec,dstressinc,totstran,dtotstran,
+ TEMP,DTEMP,vms,pdot,pnewdt,gndon,nSys,nTwin,ns,coords,
+ TwinIntegral,nTwinStart,nTwinEnd,twinon,cubicslip)
!INCLUDE 'ABA_PARAM.INC'
! number of Abaqus state variables
INTEGER,intent(in) :: nsvars
! element number
INTEGER,intent(in) :: jelem
! integration point number
INTEGER,intent(in) :: kint
! crystal type
INTEGER,intent(in) :: iphase
! activate irradiation effect
INTEGER,intent(in) :: irradiate
! GND activation flag
INTEGER,intent(in) :: gndon
! number of slip systems
INTEGER,intent(in) :: nSys
! total number of twin systems
INTEGER,intent(in) :: nTwin
! number of screw dislocation systems
INTEGER,intent(in) :: ns
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
INTEGER,intent(in) :: nTwinStart,nTwinEnd
! twin systems activation flag
INTEGER,intent(in) :: twinon
! activate cubic slip systems for CMSX-4 alloy
INTEGER,intent(in) :: cubicslip
! time increment
REAL*8,intent(in) :: dtime
! coordinates
REAL*8,intent(in) :: coords(3)
! average of the twin volume fraction
! over the neighbourhood
! two twin systems
REAL*8,intent(in) :: TwinIntegral(nTwin)
! Abaqus state variables
REAL*8,intent(inout) :: usvars(nsvars)
! time: time(1) = step time; time(2) = total time
REAL*8,intent(in) :: time(2)
! deformation gradient
REAL*8,intent(in) :: F(3,3)
! velocity gradient
REAL*8,intent(in) :: L(3,3)
! identity matrix
REAL*8,intent(in) :: xI(3,3)
! stress vector (Cauchy, Abaqus notation)
! stressvec = (sigma11,sigma22,sigma33,tau12 tau13 tau23)
REAL*8,intent(out) :: stressvec(6)
! Stiffness matrix (Jacobian, Abaqus notation)
REAL*8,intent(out) :: C(6,6)
! Von Mises invariant plastic strain rate
REAL*8,intent(out) :: pdot
! Von Mises stress
REAL*8,intent(out) :: vms
******************************************
** The following parameters must be set **
! activate debug mode with Visual Studio
! 0 = off ; 1 = on
integer, parameter :: debug = 0
! select slip law
! 0 = Original slip rule with no GND coupling i.e. using alpha and beta
! 5 = Original slip rule with GND coupling
! 6 = Slip rule with constants alpha and beta: alpha.sinh[ beta(tau-tauc)sgn(tau) ]
! 7 = Powerlaw plasticity
! 8 = Powerlaw plasticity and creep for Ni alloys
integer, parameter :: kslip = 8
! initial temperature and temperature rate
real*8, parameter :: Temperature = 293.0
real*8, parameter :: ytemprate = 0.0
! homogenize twin model
! 0 = use discrete twin model
! 1 = use homogenised twin model
integer, parameter :: homogtwin = 0
! accuracy of the crystal plasticity Newton-Raphson loop
! WARNING: change only if you know what you are doing
real*8, parameter :: xacc = 1.e-8
! max number of iterations of the Newton-Raphson loop
! WARNING: change only if you know what you are doing
integer, parameter :: maxNRiter = 1000
! use temperature provided by Abaqus solver
! through the TEMP and DTEMP variables
integer, parameter :: use_abaqus_temperature = 0
! 0 = temperature in K
! 1 = temperature in C
integer, parameter :: temp_in_celsius = 0
! 1 = activate creep for CMSX-4 alloy
integer, parameter :: creep = 1
** End of parameters to set **
******************************************
! dimension of the space
INTEGER, parameter :: M=3,N=3
! dimension of Voigt vectors
INTEGER, parameter :: KM=6,KN=6
! stress matrix in the Newton-Raphson loop
REAL*8 :: stressM(3,3)
! plastic strain increment in the Newton-Raphson loop
REAL*8 :: plasStrainInc(3,3),plasStrainInc2(6)
! temporary variables
REAL*8 :: prod(M),prod6(6,6)
! temporary normals and directions of slip/twin systems
REAL*8 :: tempNorm(M),tempDir(M)
! plastic strain rate
REAL*8 :: plasStrainRate(3,3)
! plastic velocity gradient
REAL*8 :: Lp(3,3)
! cumulative plastic strain (for output)
! vector and scalar
REAL*8 :: totplasstran(6), p
! cumulative plastic strain on each slip system, signed
REAL*8 :: slipsysplasstran(nSys)
! identity matrix
REAL*8 :: xIden6(KM,KN)
! elastic velocity gradient
REAL*8 :: Le(3,3)
! derivatives of the plastic velocity gradient
! with respect to the stress components
REAL*8 :: tmat(KM,KN)
! trial stress, starting point of the
! Newton-Raphson loop, vector and matrix
REAL*8 :: trialstress(6),trialstressM(3,3)
! Jacobian of the Newton-Raphson loop
! and its inverse
REAL*8 :: xjfai(KM,KN),xjfaiinv(KM,KN)
! residual of the Newton-Raphson loop
! vector and scalar
REAL*8 :: faivalue,fai(6)
! stress increment of the Newton-Raphson loop
REAL*8 :: dstressinc(6)
! stress at the current increment
! given back to Abaqus at the end of iteration
! matrix and vector
REAL*8 :: xstressmdef(M,N),xstressdef(6)
! elastic stiffness matrix in the crystal reference frame
REAL*8 :: xStiff(6,6)
! elastic stiffness matrix in the sample reference frame
REAL*8 :: xStiffdef(6,6)
! elastic spin (W_e)
REAL*8 :: elasspin(3,3)
! temporary array for elastic stiffness calculation
REAL*8 :: tSig(6,6),tSigTranspose(6,6)
! rotation matrix from input file
! current and previous increment
REAL*8 :: gmatinv(3,3),gmatinvnew(3,3),gmatinvold(3,3)
! deviatoric stress (for output)
REAL*8 :: devstress(3,3)
! elastic compliance matrix in the crystal reference frame
REAL*8 :: compliance(6,6)
! temporary variables for plastic deformation update
REAL*8 :: print2(3,3),print3(3,3)
! total strain increment
! vector and matrix
REAL*8 :: dtotstran(6),tempstrain(3,3)
! cumulative total strain (for output)
REAL*8 :: totstran(6)
! curl of the plastic deformation gradient
REAL*8 :: curlfp(3,3)
! elastic Green-Lagrange strain (for output)
REAL*8 :: EECrys(3,3)
! spin W (from total velocity gradient)
REAL*8 :: spin(3,3)
! plastic deformation gradient
! current and previous increment
! and inverse
REAL*8 :: Fp(3,3),fpold(3,3),Fpinv(3,3)
! elastic deformation gradient
! and inverse
REAL*8 :: Fe(3,3),Feinv(3,3)
! thermal eigenstrain to model thermal expansion
! Voigt vector, matrix in the crystal reference frame
! matrix in the sample reference frame
REAL*8 :: dstranth(6),thermat(3,3),expanse33(3,3)
! rotated slip normals and directions (gmatinv)
REAL*8,dimension(nSys,M) :: xNorm,xDir
! resolved shear stress on slip system
! and its sign
REAL*8,dimension(nSys) :: tau
REAL*8,dimension(nSys) :: signtau
! plastic shear rate on slip systems
REAL*8,dimension(nSys) :: gammadot
! GND density (immobile, mobile)
REAL*8,dimension(nSys) :: gndcut
REAL*8,dimension(nSys) :: gndmob
! Burgers vectors
REAL*8,dimension(nSys) :: burgerv
! critical resolved shear stress of slip systems
REAL*8,dimension(nSys) :: tauc
! resolved shear stress, twin systems
REAL*8,dimension(nTwin) :: tautwin
! sign of the resolved shear stress of twin systems
REAL*8,dimension(nTwin) :: signtautwin
! critical resolved shear stress of twin systems
REAL*8,dimension(nTwin) :: tauctwin
! rotated twin normal and direction (gmatinv)
REAL*8,dimension(nTwin,M) :: xTwinNorm,xTwinDir
! plastic shear rate due to twinning
REAL*8 :: gammatwindot(nTwin)
! GND density edge and screw systems
REAL*8,dimension(nSys+ns) :: gndall
! scalar total GND density
REAL*8 :: gndtot
! prefactor for SSD evolution equation
REAL*8 :: gammast
REAL*8 :: LpFeinv(3,3), matrix(3,3), update(3,3)
! number of screw planes
integer :: screwplanes
! current temperature
! modified by temperature rate
REAL*8 :: CurrentTemperature
! substructure dislocation density
REAL*8 :: rhosub
! forest dislocation density
REAL*8 :: rhofor(nSys)
! total dislocation density
REAL*8 :: rhototal
! total SSD density
REAL*8 :: rhossd
! ratio: resolved shear stress for slip / CRSS for slip
REAL*8 :: xtau
! twin volume fraction
REAL*8 :: twinvolfrac(nTwin)
! total twin volume fraction
REAL*8 :: twinvolfractotal
! ratio: resolved sheat stress for twin / CRSS for twin
REAL*8 :: xtautwin
! rotation matrix due to twinning in the lattice system
! and temporary matrix
REAL*8 :: TwinRot(nTwin,3,3)
REAL*8 :: TwinRotTemp(3,3)
! stiffness tensor after twinning
! and temporary matrix
REAL*8 :: xStifftwin(6,6)
REAL*8 :: xStifftwinTemp(6,6)
! c/a ratio for hcp crystals
REAL*8 :: caratio
! shear modulus for Taylor dislocation law
REAL*8 :: G12
! crystallographic slip
! needed for model with irradiation
REAL*8 :: slip
! increase in tauc due to solute force
REAL*8 :: tauSolute
! temporary variable for determinant
REAL*8 :: deter
! flag to decide if crystal plasticity
! Newton-Raphson loop starts
integer :: EnterNRLoop
! iteration number of the Newton-Raphson loop
integer :: iter
! debug temporary variable
integer :: debugWait
integer :: i, j, k
C *** INITIALIZE ZERO ARRAYS ***
prod=0.
tSig=0.
xjfai=0.
xjfaiinv=0.
totstran = 0.0
totplasstran = 0.0
trialstress=0.
devstress=0.
spin=0.
tempstrain=0.
Fe=0.
Fp=0.
gmatinvnew=0.
gmatinv=0.
dstranth=0.
Lp = 0.
plasStrainRate = 0.
plasStrainInc2=0.
xStiff=0.0
xStiffdef=0.0
C=0.0
trialstressM=0.0
tmat=0.0;
plasStrainInc=0.
stressvec=0.
fai=0.
dstressinc=0.
xIden6=0.;
xRot=0.;
compliance=0.
Le = 0.
thermat =0.
expanse33=0.
curlfp=0.
gammadot=0.
xNorm=0.
xDir=0.
tau=0.
gndcut=0.
gndall=0.
tautwin = 0.0
gndmob=0.
gammatwindot = 0.0
gndtot=0.
xTwinNorm = 0.0
xTwinDir = 0.0
twinvolfrac(1:nTwin) = 0.0
twinvolfractotal = 0.0
caratio = 0.0
G12 = 0.0
gammast = 0.0
burgerv = 0.0
tauc = 0.0
screwplanes = 0
tauctwin(1:nTwin) = 0.0
rhossd = 0.0
pdot = 0.0
! define identity matrix
DO I=1,KM; xIden6(I,I)=1.; END DO
! initialize sign of the resolved shear stress
signtau=1.
signtautwin=1.0
! calculate temperature
if (use_abaqus_temperature == 1) then ! use Abaqus temperature
CurrentTemperature = TEMP
else
CurrentTemperature = Temperature + ytemprate*time(2)
end if
! add 273.15 if temperature is in Celsius
if (temp_in_celsius == 1) then
CurrentTemperature = CurrentTemperature + 273.15
end if
! set materials constants
call kMaterialParam(iphase,caratio,compliance,G12,thermat,
+ gammast,burgerv,nSys,tauc,screwplanes,CurrentTemperature,
+ tauctwin,nTwin,twinon,nTwinStart,nTwinEnd,TwinIntegral,
+ cubicslip)
! define rotation matrices due to twinning (in the lattice system)
TwinRot = 0.0
if (twinon == 1) then
CALL ktwinrot(nTwin,TwinRot)
end if
TwinRotTemp = 0.0
! find stiffness matrix
CALL lapinverse(compliance,6,info,xStiff)
C *** INITIALIZE USER ARRAYS FROM STATE VARIABLES ***
! get rotation matrix
DO i=1,3
DO j=1,3
gmatinv(i,j) = usvars(j+(i-1)*3)
END DO
END DO
gmatinvold = gmatinv
! get cumulative plastic strain rate scalar
p = usvars(10)
! get cumulative plastic strain rate vector
DO i=1,6
totplasstran(i) = usvars(10+i)
END DO
! get cumulative total strain
DO i=1,6
totstran(i) = usvars(16+i)
END DO
! get cumulative plastic strain on each slip system
DO i=1,nSys
slipsysplasstran(i) = usvars(89+i)
END DO
! initialize stress as the values at previous increment
DO i=1,6
xstressdef(i) = usvars(47+i)
END DO
! get scalar total GND density
gndtot = usvars(26)
! get SSD dislocation density
rhossd = usvars(54)
! get immobile GND density
DO i=1,nSys
gndcut(i) = usvars(56+i)
END DO
! model with forest and substructure dislocation densities
! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tomé
! Deformation of wrought uranium: Experiments and modeling
! Acta Materialia 58 (2010) 5447–5459
if (iphase == 5) then
rhototal = 0.0
DO i=1,nSys
rhofor(i) = usvars(56+i)
rhototal = rhototal + rhofor(i)
END DO
rhosub = usvars(65)
rhototal = rhototal + rhosub
if (twinon == 1) then ! twin active
! initialize twin volume fraction
DO i=1,nTwin
twinvolfrac(i) = usvars(106+i)
END DO
DO i=1,nTwin ! calculate total twin volume fraction
twinvolfractotal = twinvolfractotal + twinvolfrac(i)
END DO
twinvolfractotal = min(twinvolfractotal,1.0)
end if ! twin active
end if
! get plastic deformation gradient
DO i=1,3
DO j=1,3
Fp(i,j) = usvars(80+j+((i-1)*3))
END DO
END DO
! get curl of the plastic deformation gradient
DO i=1,3
DO j=1,3
curlfp(i,j) = usvars(37+j+(i-1)*3)
END DO
END DO
! variables needed for irradiation model (softening)
! crystallographic slip
slip = usvars(35)
! increase in tauc due to solute force
tauSolute = usvars(36)
! calculates CRSS of slip and twin systems
call kCRSS(iphase,tauc,nSys,G12,burgerv,gndtot,irradiate,
+ tauSolute,gndcut,rhofor,rhosub,CurrentTemperature,homogtwin,
+ nTwinStart,nTwinEnd,twinvolfrac,tauctwin,nTwin,TwinIntegral,
+ twinvolfractotal,twinon)
! Reorient stiffness tensor if twins are present
! weighting using twin volume fraction
! calculation in the lattice reference frame
! initialization of the temporary variable
xStifftwin = 0.0
xStifftwinTemp = 0.0
if (twinon == 1) then ! twin active
DO k=nTwinStart,nTwinEnd
DO i=1,M ! get rotation matrix for this twin
DO j=1,N
TwinRotTemp(i,j) = TwinRot(k,i,j)
END DO
END DO
CALL rotord4sig(TwinRotTemp,tSig) ! rotate stiffness tensor
prod6 = matmul(tSig,xStiff)
tSigTranspose = transpose(tSig)
xStifftwinTemp = twinvolfrac(k)*matmul(prod6,tSigTranspose)
xStifftwin = xStifftwin + xStifftwinTemp
END DO ! end of twin system
end if ! twin active
xStiff = (1.0 - twinvolfractotal) * xStiff + xStifftwin
C *** DIRECTIONS FROM LATTICE TO DEFORMED AND TWINNED SYSTEM ***
CALL kdirns(gmatinv,TwinRot,iphase,nSys,nTwin,xDir,xNorm,
+ xTwinDir,xTwinNorm,caratio,cubicslip)
C *** STIFFNESS FROM LATTICE TO DEFORMED SYSTEM ***
CALL rotord4sig(gmatinv,tSig)
prod6 = matmul(tSig,xStiff)
tSigTranspose = transpose(tSig)
xStiffdef = matmul(prod6,tSigtranspose)
! rotate the thermal eigenstrain in the sample reference system
expanse33 = matmul(matmul(gmatinv,thermat),transpose(gmatinv))
if (use_abaqus_temperature == 1) then
expanse33 = expanse33*DTEMP !dstrain = alpha*dT
else
expanse33 = expanse33*ytemprate*dtime !dstrain = alpha*dT
end if
CALL kmatvec6(expanse33,dstranth)
dstranth(4:6) = 2.0*dstranth(4:6)
C *** DETERMINE INCREMENT IN TOTAL STRAIN (6X1) ***
tempstrain=(L+transpose(L))*0.5*dtime
spin=(L-transpose(L))*0.5
CALL kmatvec6(tempstrain,dtotstran)
dtotstran(4:6) = 2.0*dtotstran(4:6)
C *** COMPUTE TRIAL STRESS ***
DO i=1,6
stressvec(i) = xstressdef(i) ! old stress
END DO
trialstress = stressvec + matmul(xStiffdef,dtotstran) -
+ matmul(xStiffdef,dstranth)
CALL kvecmat6(trialstress,trialstressM)
CALL kvecmat6(stressvec,stressM)
trialstressM = trialstressM + (matmul(spin,stressM) -
+ matmul(stressM,spin))*dtime
C *** CALCULATE RESOLVED SHEAR STRESS ON SLIP AND TWIN SYSTEMS ***
C *** NOW CALCULATED USING THE STRESS OF THE PREVIOUS INCREMENT ***
C *** AS TRIAL STRESS ***
DO I=1,nSys
tempNorm = xNorm(I,:); tempDir = xDir(I,:)
prod = matmul(stressM,tempNorm)
tau(I)= dot_product(prod,tempDir)
signtau(I) = 1.d0
IF(tau(I) .LT. 0.0) THEN
tau(I) = -1.E0*tau(I) ! always positive RSS
signtau(I) = -1.d0 ! carry info about the sign
END IF
END DO
if (twinon == 1) then ! twin active
DO I=nTwinStart,nTwinEnd ! here only homogenized stress is considered
tempNorm = xTwinNorm(I,:); tempDir = xTwinDir(I,:)
prod = matmul(stressM,tempNorm)
tautwin(I) = dot_product(prod,tempDir)
signtautwin(I) = 1.d0
IF(tautwin(I) .LT. 0.0) THEN
tautwin(I) = 0.0 ! twinning cannot be induced with negative RSS (no detwinning)
END IF
END DO
end if ! twin active
xtau = maxval(tau/tauc)
xtautwin = maxval(tautwin/tauctwin)
C *** PLASTIC DEFORMATION ***
! decide if Newton Raphson loop starts
EnterNRLoop = 0
if (xtau > 0.0 .or. xtautwin >= 0.5) then ! stress condition
EnterNRLoop = 1
else
! twinvolfrac > 0.5 is needed for twin completion
! in the discrete twin model
if (twinon == 1) then
if (twinvolfrac(nTwinStart) > 0.5
+ .or. twinvolfrac(nTwinEnd) > 0.5) then
EnterNRLoop = 1
end if
end if
end if ! stress condition
IF (EnterNRLoop == 1) THEN
do while (debug == 1 .and. kint == 1)
debugwait = 0
end do
faivalue=1.
iter=0
fpold = Fp
C *** USE NEWTON METHOD TO DETERMINE STRESS INCREMENT ***
DO WHILE (faivalue .gt. xacc)
iter=iter+1
!============================================================================
! Slip rule:
! Returns Lp and tmat required to define the material jacobian.
!============================================================================
IF (kslip == 0) THEN ! Original slip rule with no GND coupling i.e. using alpha and beta
CALL kslip0(xNorm,xDir,tau,tauc,caratio,dtime,nSys,0.0,iphase,
+ Lp,tmat)
ELSE IF (kslip == 5) THEN ! Original slip rule with GND coupling
CALL kslip5ET(xNorm,xDir,tau,signtau,tauc,burgerv,rhossd,gndtot,
+ gndall,gndcut,gndmob,dtime,nSys,ns,iphase,Lp,tmat)
ELSE IF (kslip == 6) THEN ! updated slip rule with GND coupling
CALL kslip6ET(xNorm,xDir,tau,signtau,tauc,burgerv,dtime,nSys,
+ iphase,irradiate,gndcut,gndtot,rhossd,Lp,tmat,gammaDot)
ELSE IF (kslip == 7) THEN ! Powerlaw plasticity, orthorombic alpha-Uranium
CALL kslipPowerLaw(xNorm,xDir,xTwinNorm,xTwinDir,
+ tau,tautwin,signtau,signtautwin,
+ tauc,tauctwin,burgerv,dtime,nSys,
+ nTwin,iphase,irradiate,gndcut,gndtot,
+ rhossd,twinvolfrac,twinvolfractotal,
+ Lp,tmat,gammaDot,gammatwindot,twinon,
+ nTwinStart,nTwinEnd)
ELSE IF (kslip == 8) THEN ! Powerlaw plasticity and creep
CALL kslipCreepPowerLaw(xNorm,xDir,tau,signtau,tauc,
+ dtime,nSys,iphase,CurrentTemperature,Lp,
+ tmat,gammaDot,cubicslip,creep,slipsysplasstran)
END IF
if(any(tmat /= tmat)) then
call Mutexlock( 10 ) ! lock Mutex #5
pnewdt = 0.5 ! if sinh( ) has probably blown up then try again with smaller dt
write(*,*) "*** WARNING tmat = NaN: jelem, kint, time: ", jelem, kint, time
do while (debug == 1)
debugWait = 1! wait here to attach debugger
end do
call MutexUnlock( 10 ) ! unlock Mutex #5
return
end if
!============================================================================
C *** DETERMINE PLASTIC STRAIN INCREMENTS
plasStrainInc = (Lp+transpose(Lp))*0.5*dtime
CALL kmatvec6(plasStrainInc,plasStrainInc2)
plasStrainInc2(4:6) = 2.0*plasStrainInc2(4:6)
C *** CALCULATE THE STRESS INCREMENT ***
xjfai = xIden6 + matmul(xStiffdef,tmat) ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007)
CALL lapinverse(xjfai,6,info3,xjfaiinv) ! invert Jacobian
IF(info3 /= 0) write(6,*) "inverse failure: xjfai in kmat"
! trial stress here is in the assumption of full elastic increment
! C (epsilon_total - epsilon_plastic) = C ( epsilon_elastic ) = stress
! therefore the algorithm is finding the zero of "fai"
! and the variable that is updated at each iteration is "stressvec"
fai = trialstress - stressvec - matmul(xStiffdef,plasStrainInc2)
dstressinc = matmul(xjfaiinv,fai)
stressvec = stressvec + dstressinc
CALL kvecmat6(stressvec,stressM)
faivalue = sqrt(sum(fai*fai))
C *** UPDATE RESOLVED SHEAR STRESS ACCORDING TO NEW STRESS ***
DO I=1,nSys
tempNorm = xNorm(I,:); tempDir = xDir(I,:)
prod = matmul(stressM,tempNorm)
tau(I)= dot_product(prod,tempDir)
signtau(I) = 1.d0
IF(tau(I) < 0.0) THEN
tau(I) = -1.E0*tau(I)
signtau(I) = -1.d0
END IF
END DO
if (twinon == 1) then ! twin active
DO I=nTwinStart,nTwinEnd ! here only homogenized stress is considered
tempNorm = xTwinNorm(I,:); tempDir = xTwinDir(I,:)
prod = matmul(stressM,tempNorm)
tautwin(I) = dot_product(prod,tempDir)
signtautwin(I) = 1.d0
IF(tautwin(I) .LT. 0.0) THEN
tautwin(I) = 0.0 ! twinning cannot be induced with negative RSS (no detwinning)
END IF
END DO
end if ! twin active
xtau = maxval(tau/tauc)
xtautwin = maxval(tautwin/tauctwin)
IF (iter .gt. maxNRiter) THEN
call Mutexlock( 11 ) ! unlock Mutex
pnewdt = 0.5
WRITE(*,*) "WARNING NEWTON LOOP NOT CONVERGED: ",
+ jelem, kint, time(1)
WRITE(*,*) "fai", fai
WRITE(*,*) "stressM", stressM
call MutexUnlock( 11 ) ! unlock Mutex
return
END IF
!!*** THE END OF NEWTON ITERATION ***
END DO
C *** NOW CALCULATE THE JACOBIAN***
C = matmul(xjfaiinv,xStiffdef)
! assign the updated stress
xstressmdef = stressM
C *** UPDATE OUTPUT VARIABLES ***
plasStrainrate=(Lp+transpose(Lp))*0.5
C *** UPDATE PLASTIC DEFORMATION GRADIENT
print2 = 0.; print3 = 0.
print2 = xI - Lp*dtime
CALL kdeter(print2,deter)
IF (deter /= 0.0) THEN
CALL lapinverse(print2,3,info4,print3)
Fp = matmul(print3,fpold)
ELSE
Fp = Fp
END IF
!=========================================================================
C *** DETERMINE DENSITY OF GNDs
! Definitely needs to be inside plasticity loop
! And should use the directions that have been modified according to tau!
!=========================================================================
! Edge-screw separated
IF (gndon == 0) THEN !Switching GND evolution on and off!
gndall = 0.
gndcut = 0.
ELSE
CALL kgndl2ET(curlfp,xNorm,xDir,tau,burgerv,iphase,nSys,ns,
+ screwplanes,jelem,kint,time,gndall,gndcut,gndmob)
IF (xtau < 1.0) THEN
write(*,*) "xtau<1, jelem,kint,time",jelem,kint,time
END IF
END IF
! sum all GNDs
gndtot = sum(gndall)
! update state variables that determine hardening
call kHardening(pdot,p,plasStrainrate,dtime,slip,gammaDot,
+ nSys,irradiate,tauSolute,gammast,rhossd,iphase,rhofor,
+ CurrentTemperature,rhosub,twinon,twinvolfrac,nTwin,
+ nTwinStart,nTwinEnd,gammaTwinDot)
!=========================================================================
C *** ELASTIC DEFORMATION ***
ELSE
xstressmdef = trialstressM
C = xStiffdef
END IF ! end of PLASTIC DEFORMATION
CALL kmatvec6(xstressmdef,xstressdef) !output stress
devstress = xstressmdef - 1./3.*trace(xstressmdef)*xI
vms = sqrt(3./2.*(sum(devstress*devstress))) !von mises stress
C *** ORIENTATION UPDATE ***
! Assuming that all rigid body rotation is lumped into Fe and that the elastic strains are small
! then the elastic spin is the antisymmetric part of We = d(Fe)/dt inv(Fe)
! L = We + Fe Lp inv(Fe) therefore
! We = L - Fe Lp inv(Fe)
! G(t+dt) = G(t) + We G(t)dt dt or an implicit update is G(t+dt) = G(t)exp[We(t+dt)dt] ~ inv[I - We(t+dt) dt] G(t)
! We need Fe and inv(Fe) using F = Fe Fp gives Fe = F.inv(Fp)
CALL kdeter(Fp,deter)
IF (deter /= 0.) THEN
Fpinv = 0.
CALL lapinverse(Fp,3,info5,Fpinv)
! IF(info5 /= 0) write(6,*) "inverse failure: print3 in kmat"
Fe = matmul(F,Fpinv)
ELSE
write(*,*) "Error in orientation update: finding inv(Fp)",jelem,kint, kinc
write(*,*) "Fp, det(Fp)", Fp, deter
write(*,*) "fpold", fpold
write(*,*) "Lp", Lp
Fp = fpold
Fpinv = 0.
CALL lapinverse(Fp,3,info5,Fpinv)
Fe = matmul(F,Fpinv)
do while (debug == 1)
debugwait = 1
end do
END IF
CALL kdeter(Fe,deter)
IF (deter /= 0.) THEN
Feinv = 0.
CALL lapinverse(Fe,3,info5,Feinv)
! IF(info5 /= 0) write(6,*) "inverse failure: print3 in kmat"
ELSE
write(*,*) "Error in orientation update: finding inv(Fe)",jelem,kint, kinc
write(*,*) "Fe", Fe
call XIT
END IF
LpFeinv = 0.;
LpFeinv = matmul(Lp, Feinv)
Le = L - matmul(Fe,LpFeinv)
elasspin=(Le-transpose(Le))*0.5
matrix = xI - elasspin*dtime
CALL kdeter(matrix,deter)
C *** if plastic deformation took place
C *** use the elastic spin to rotate the corotational
C *** stress tensor
if (iter > 0) then
print2 = (matmul(elasspin,stressM)-matmul(stressM,elasspin))
xstressmdef = xstressmdef + print2*dtime
CALL kmatvec6(xstressmdef,xstressdef) !output stress
end if
IF (deter /= 0.) THEN
update = 0.
CALL lapinverse(matrix,3,info5,update)
IF(info5 /= 0) write(*,*) "inverse failure: print3 in kmat"
gmatinvnew = matmul(update,gmatinvold)
ELSE
gmatinvnew = gmatinvold
write(*,*) "WARNING gmatinv not updated at jelem,kint, kinc:",
+ jelem, kint, kinc
END IF
gmatinv = gmatinvnew
if (maxval(gmatinv) > 1) then
!write(*,*) "something very wrong with gmatinv"
!write(*,*) "jelem,kint,kinc",jelem,kint,kinc
!write(*,*) "maxval(gmatinv)",maxval(gmatinv)
!call XIT
end if
C *** CALCULATE GREEN_LAGRANGE STRAIN FOR OUTPUT ***
C *** ROTATE: LATTICE COORDINATES ***
EECrys = matmul(transpose(Fe),Fe)
EECrys = EECrys - xI
EECrys = 0.5*EECrys
EECrys = matmul(matmul(transpose(gmatinv),EECrys),gmatinv)
C *** UPDATE STATE VARIABLES *** !
DO i=1,3
DO j=1,3
usvars(j+(i-1)*3) = gmatinv(i,j)
END DO
END DO
usvars(10) = p
DO i=1,6
usvars(10+i) = totplasstran(i) + plasStrainInc2(i)
END DO
DO i=1,6
usvars(16+i) = totstran(i) + dtotstran(i)
END DO
usvars(26) = gndtot
DO i=1,nSys
usvars(89+i) = slipsysplasstran(i) + gammaDot(i)*dtime
END DO
DO i=1,6
usvars(47+i) = xstressdef(i)
END DO
usvars(32) = maxval(plasStrainrate)
usvars(33) = pdot
usvars(34) = xtau
usvars(35) = slip
usvars(36) = tauSolute
usvars(54) = rhossd
usvars(55) = vms
usvars(56) = maxval(tauc)
!GNDs on indiviual systems
!max(nSys) is currently limited to 24. IF all 48 of bcc is needed, storage should be raised to match that!
DO i=1,nSys
usvars(56+i) = gndcut(i)
END DO
usvars(71) = Temperature
DO i=1,3
DO j=1,3
usvars(71+j+(i-1)*3) = EECrys(i,j)
usvars(80+j+(i-1)*3) = Fp(i,j)
END DO
END DO
! Output for orthorombic alpha-Uranium material
if (iphase == 5) then
! rewrite gndcut state variables
! for the alpha-Uranium model
DO i=1,nSys
usvars(56+i) = rhofor(i)
END DO
usvars(65) = rhosub
DO i=1,nSys
usvars(98+i) = tauc(i)
END DO
! output some of the plastic strain rates on the slip systems
usvars(90) = gammaDot(1)
usvars(91) = gammaDot(2)
usvars(92) = gammaDot(3)
usvars(93) = gammaDot(4)
usvars(94) = gammatwindot(nTwinStart)
usvars(95) = gammatwindot(nTwinEnd)
usvars(96) = TwinIntegral(nTwinStart)
usvars(97) = TwinIntegral(nTwinEnd)
DO i=1,nTwin ! twin volume fractions
usvars(106+i) = twinvolfrac(i)
END DO
DO i=1,nTwin ! twin CRSS
usvars(112+i) = tauctwin(i)
END DO
end if
! Output for CMSX-4 alloy
if (kslip == 9) then
do i=1,nSys
! RSS in slip systems
usvars(107+i) = tau(i)
end do
! maximum RSS
usvars(125) = maxval(abs(tau))
end if
RETURN
END
================================================
FILE: old version/kshapes.f
================================================
! *************************************************
! * shape functions and derivatives *
! * 20-noded reduced integration (2x2x2) element *
! *************************************************
subroutine kshapes(yp,yq,yr,xnat,xn,dndloc) !20-noded element
implicit none
integer :: i
integer,parameter:: nnodes = 20
real*8,intent(in):: yp,yq,yr
real*8,intent(in):: xnat(nnodes,3)
real*8,intent(out):: xn(nnodes),dndloc(nnodes,3)
real(kind=8):: gn(nnodes),gnr(nnodes),gns(nnodes),gnt(nnodes)
real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss
character(len=*),parameter :: fmt20 = "(' ',20(F4.2,1X))"
! Zero output arrays.
xn = 0.; dndloc = 0.
do i = 1,nnodes
ri = xnat(i,1);si = xnat(i,2);ti = xnat(i,3)
!---------------------------
if(ri == 1. .or. ri==-1.) then
gr = 0.5*(1.+ri*yp)
dgr = 0.5*ri
else
gr = (1.-yp*yp)
dgr = -2.0*yp
end if
!---------------------------
if(si == 1. .or. si==-1.) then
gs = 0.5*(1.+si*yq)
dgs = 0.5*si
else
gs = (1.-yq*yq)
dgs = -2.0*yq
end if
!---------------------------
if(ti == 1. .or. ti==-1.) then
gt = 0.5*(1.+ti*yr)
dgt = 0.5*ti
else
gt = (1.-yr*yr)
dgt = -2.0*yr
end if
!---------------------------
gn(i) = gr*gs*gt
!---------------------------
gnr(i) = dgr*gs*gt
gns(i) = gr*dgs*gt
gnt(i) = gr*gs*dgt
end do
! write(6,*)"gn in shape functions"; write(6,fmt20)gn
! Build the shape functions
do i = 9,20
xn(i) = gn(i)
end do
! Uel node numbering order
xn(1) = gn(1) - (gn(9)+gn(12)+gn(17))/2.
xn(2) = gn(2) - (gn(9)+gn(10)+gn(18))/2.
xn(3) = gn(3) - (gn(10)+gn(11)+gn(19))/2.
xn(4) = gn(4) - (gn(11)+gn(12)+gn(20))/2.
xn(5) = gn(5) - (gn(13)+gn(16)+gn(17))/2.
xn(6) = gn(6) - (gn(13)+gn(14)+gn(18))/2.
xn(7) = gn(7) - (gn(14)+gn(15)+gn(19))/2.
xn(8) = gn(8) - (gn(15)+gn(16)+gn(20))/2.
! Now for derivatives!
do i = 9,20
dndloc(i,1) = gnr(i)
dndloc(i,2) = gns(i)
dndloc(i,3) = gnt(i)
end do
dndloc(1,1) = gnr(1) - (gnr(9)+gnr(12)+gnr(17))/2.
dndloc(2,1) = gnr(2) - (gnr(9)+gnr(10)+gnr(18))/2.
dndloc(3,1) = gnr(3) - (gnr(10)+gnr(11)+gnr(19))/2.
dndloc(4,1) = gnr(4) - (gnr(11)+gnr(12)+gnr(20))/2.
dndloc(5,1) = gnr(5) - (gnr(13)+gnr(16)+gnr(17))/2.
dndloc(6,1) = gnr(6) - (gnr(13)+gnr(14)+gnr(18))/2.
dndloc(7,1) = gnr(7) - (gnr(14)+gnr(15)+gnr(19))/2.
dndloc(8,1) = gnr(8) - (gnr(15)+gnr(16)+gnr(20))/2.
dndloc(1,2) = gns(1) - (gns(9)+gns(12)+gns(17))/2.
dndloc(2,2) = gns(2) - (gns(9)+gns(10)+gns(18))/2.
dndloc(3,2) = gns(3) - (gns(10)+gns(11)+gns(19))/2.
dndloc(4,2) = gns(4) - (gns(11)+gns(12)+gns(20))/2.
dndloc(5,2) = gns(5) - (gns(13)+gns(16)+gns(17))/2.
dndloc(6,2) = gns(6) - (gns(13)+gns(14)+gns(18))/2.
dndloc(7,2) = gns(7) - (gns(14)+gns(15)+gns(19))/2.
dndloc(8,2) = gns(8) - (gns(15)+gns(16)+gns(20))/2.
dndloc(1,3) = gnt(1) - (gnt(9)+gnt(12)+gnt(17))/2.
dndloc(2,3) = gnt(2) - (gnt(9)+gnt(10)+gnt(18))/2.
dndloc(3,3) = gnt(3) - (gnt(10)+gnt(11)+gnt(19))/2.
dndloc(4,3) = gnt(4) - (gnt(11)+gnt(12)+gnt(20))/2.
dndloc(5,3) = gnt(5) - (gnt(13)+gnt(16)+gnt(17))/2.
dndloc(6,3) = gnt(6) - (gnt(13)+gnt(14)+gnt(18))/2.
dndloc(7,3) = gnt(7) - (gnt(14)+gnt(15)+gnt(19))/2.
dndloc(8,3) = gnt(8) - (gnt(15)+gnt(16)+gnt(20))/2.
return
end subroutine
! *************************************************
! * shape functions and derivatives *
! * 8-noded full integration (2x2x2) element *
! *************************************************
subroutine kshapes8(yp,yq,yr,xnat,xn,dndloc) !8-noded element.
implicit none
integer :: i
integer,parameter::nnodes = 8
real*8,intent(in):: yp,yq,yr
real*8,intent(in):: xnat(nnodes,3)
real*8,intent(out):: xn(nnodes),dndloc(nnodes,3)
real(kind=8):: gn(nnodes),gnr(nnodes),gns(nnodes),gnt(nnodes)
real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss
character(len=*),parameter :: fmt20 = "(' ',20(F4.2,1X))"
! Zero output arrays.
xn = 0.; dndloc = 0.
do i = 1,nnodes !20
ri = xnat(i,1);si = xnat(i,2);ti = xnat(i,3)
!---------------------------
if(ri == 1. .or. ri==-1.) then
gr = 0.5*(1.+ri*yp)
dgr = 0.5*ri
else
gr = (1.-yp*yp)
dgr = -2.0*yp
end if
!---------------------------
if(si == 1. .or. si==-1.) then
gs = 0.5*(1.+si*yq)
dgs = 0.5*si
else
gs = (1.-yq*yq)
dgs = -2.0*yq
end if
!---------------------------
if(ti == 1. .or. ti==-1.) then
gt = 0.5*(1.+ti*yr)
dgt = 0.5*ti
else
gt = (1.-yr*yr)
dgt = -2.0*yr
end if
!---------------------------
gn(i) = gr*gs*gt
!---------------------------
gnr(i) = dgr*gs*gt
gns(i) = gr*dgs*gt
gnt(i) = gr*gs*dgt
end do
! Uel node numbering order
xn(1) = gn(1)
xn(2) = gn(2)
xn(3) = gn(3)
xn(4) = gn(4)
xn(5) = gn(5)
xn(6) = gn(6)
xn(7) = gn(7)
xn(8) = gn(8)
! Now for derivatives!
dndloc(1,1) = gnr(1)
dndloc(2,1) = gnr(2)
dndloc(3,1) = gnr(3)
dndloc(4,1) = gnr(4)
dndloc(5,1) = gnr(5)
dndloc(6,1) = gnr(6)
dndloc(7,1) = gnr(7)
dndloc(8,1) = gnr(8)
dndloc(1,2) = gns(1)
dndloc(2,2) = gns(2)
dndloc(3,2) = gns(3)
dndloc(4,2) = gns(4)
dndloc(5,2) = gns(5)
dndloc(6,2) = gns(6)
dndloc(7,2) = gns(7)
dndloc(8,2) = gns(8)
dndloc(1,3) = gnt(1)
dndloc(2,3) = gnt(2)
dndloc(3,3) = gnt(3)
dndloc(4,3) = gnt(4)
dndloc(5,3) = gnt(5)
dndloc(6,3) = gnt(6)
dndloc(7,3) = gnt(7)
dndloc(8,3) = gnt(8)
return
end subroutine
================================================
FILE: old version/kslip0.f
================================================
!Slip Rule Re-development
subroutine kslip0(xNorm,xDir,tau,tauc,caratio,dtime,nSys,r,iphase,
+ xlp,tmat)
implicit none
integer,intent(in):: nSys,iphase
real*8,intent(in) :: dtime,r,caratio
real*8,intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys)
real*8,intent(out) :: xlp(3,3),tmat(6,6)
integer :: i
real*8 :: xalpha,xbeta,result1,
+ xsnt(3,3),xsnv(6),xnsv(6),xsnnst(6,6),xnst(3,3),result4(6,6),
+ tempNorm(3), tempDir(3),gammaDot(nSys)
C
C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
tmat=0.; xlp = 0.;result4=0.
Do I=1,nSys
xalpha = 0.1; xbeta = 0.1
! xalpha = 5.0e-7; xbeta = 5.0e-7
!c/a ratio for HCP! !same burgers magnitude for first 12
if(iphase==0 .and. i > 12) then
xalpha = caratio*caratio*xalpha
xbeta = caratio*caratio*xbeta
end if
C
if (tau(I) >= tauc(I)) THEN
gammaDot(I)=xalpha*sinh(xbeta*abs(tau(I)-r-tauc(I)))
tempNorm = xNorm(I,:); tempDir = xDir(I,:)
xsnt = spread(tempDir,2,3)*spread(tempNorm,1,3)
xnst = spread(tempNorm,2,3)*spread(tempDir,1,3)
CALL KGMATVEC6(xsnt,xsnv)
CALL KGMATVEC6(xnst,xnsv)
xsnnst = spread(xsnv,2,6)*spread(xnsv,1,6)
result1 = cosh(xbeta*abs(tau(I)-r-tauc(I)))
result4 = result4 + xalpha*xbeta*dtime*result1*xsnnst
xlp = xlp + gammaDot(I)*xsnt
else
gammaDot(I)=0.0
end if
C
END DO
tmat = 0.5*(result4+transpose(result4))
return
end subroutine kslip0
================================================
FILE: old version/kslip5ET.f
================================================
!Slip Rule Re-development
subroutine kslip5ET(xNorm,xDir,tau,signtau,tauc,burgerv,rhossd,gndtot,
+ gndall,gndcut,gndmob,dtime,ne,ns,iphase,Lp,tmat)
implicit none
integer,intent(in):: ne,ns,iphase
real*8, intent(in) :: rhossd,gndtot,dtime, gndall(ne+ns), gndcut(ne), gndmob(ne), signtau(ne)
real*8, intent(in) :: xNorm(ne,3),xDir(ne,3),tau(ne),tauc(ne),burgerv(ne)
real*8, intent(out) :: Lp(3,3),tmat(6,6)
integer :: i
real*8 :: alpha,beta,result1,
+ xlambdap,xvol,rhom,rhom0,psi,K,T,dF,f,
+ SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6),
+ tempNorm(3), tempDir(3),gammaDot(ne), gamm0, rhognd
C
C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
if (iphase == 0) then
!Slava Be
psi = 1.0
rhom0 = 0.003 !Slava Be
dF = 3.4559E-20 *1E12 ! microN.microns = pJ
f = 1e11
gamm0 = 5e-2
elseif (iphase == 2) then
psi = 1E-7 !1.457e-4
rhom0 = 5.0
dF = 0.0 ! !3.4559E-20 *1E12 ! microN.microns = pJ
f = 50E+11 !1e11
gamm0 = 6e-4 !8.33E-6
endif
K = 1.381E-23 *1E12 ! pJ / K
T = 293.0
!ne = microns, stress = MPa, F = microN, therefore E = pJ
C
tmat=0.; Lp = 0.;result4=0.
!rhogndold=sum(gndold)
Do I=1,ne
if (tau(I) >= tauc(I)) THEN
rhom = psi*(rhom0 + gndmob(I))
rhognd = gndtot !gndcut(I)
xlambdap = 1.0/sqrt((rhognd+rhossd)) !overall
xvol = xlambdap*burgerv(I)*burgerv(I)
beta = gamm0*xvol/(K*T)
alpha = rhom*burgerv(I)*burgerv(I)*f*exp(-dF/(K*T))
gammaDot(I)=alpha*sinh(beta*signtau(I)*(tau(I) - tauc(I)) )
tempNorm = xNorm(I,:); tempDir = xDir(I,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3)
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3)
CALL KGMATVEC6(SNij,sni)
CALL KGMATVEC6(NSij,nsi)
SNNS = spread(sni,2,6)*spread(nsi,1,6)
result1 = cosh(beta*signtau(I)*(tau(I) - tauc(I)))
result4 = result4 + alpha*beta*dtime*result1*SNNS
Lp = Lp + gammaDot(I)*SNij
else
gammaDot(I)=0.0
end if
C
END DO
tmat = 0.5*(result4+transpose(result4))
return
end subroutine kslip5ET
================================================
FILE: old version/kslip6ET.f
================================================
subroutine kslip6ET(xNorm,xDir,tau,signtau,tauc,burgerv,dtime,
+ nSys,iphase,irradiate, gndcut,gndtot,rhossd,Lp,tmat,gammaDot)
!Slip Rule with constant coefficients for simplicity
implicit none
integer,intent(in):: nSys,iphase, irradiate
real*8, intent(in) :: dtime, signtau(nSys), gndcut(nSys), gndtot,rhossd
real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys),burgerv(nSys)
real*8, intent(out) :: Lp(3,3),tmat(6,6), gammaDot(nSys)
integer :: i
real*8 :: alpha,beta,result1, rhom,dF,f,T,k,gamma0,b,psi,V,
+ SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6),
+ tempNorm(3), tempDir(3)
C
C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
if (iphase == 1) then
rhom = 0.035 !mobile dislocation density
dF = 3.4559E-8 !! Energy barrier microN.microns = pJ
f = 1.0E11 ! attempt frequency /s
T = 293.0
k = 1.381E-11 ! pJ / K
gamma0 = 8.33E-6 ! some reference strain which appears in eg http://dx.doi.org/10.1016/j.ijsolstr.2015.02.023
b = burgerv(1)
if (irradiate == 1) then
psi = 3.457e-2
else
psi = 0.727e-2
end if
alpha = rhom*b*b*f*exp(-dF/(k*T)) ! prefactor /s
V = b*b/sqrt(psi*rhossd) ! activation volume /micron^3
beta = gamma0*V/(k*T) ! rate sensitivity 1/MPa
elseif (iphase == 2) then
alpha = 0.02
beta = 0.1
endif
!ne = microns, stress = MPa, F = microN, therefore E = pJ
C
tmat=0.; Lp = 0.;result4=0.
!rhogndold=sum(gndold)
Do I=1,nSys
if (tau(I) >= tauc(I)) THEN
gammaDot(I)=alpha*sinh(beta*signtau(I)*(tau(I) - tauc(I)) )
tempNorm = xNorm(I,:);
tempDir = xDir(I,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3)
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3)
CALL KGMATVEC6(SNij,sni)
CALL KGMATVEC6(NSij,nsi)
SNNS = spread(sni,2,6)*spread(nsi,1,6)
result1 = cosh(beta*signtau(I)*(tau(I) - tauc(I)))
result4 = result4 + alpha*beta*dtime*result1*SNNS
Lp = Lp + gammaDot(I)*SNij
else
gammaDot(I)=0.0
end if
C
END DO
tmat = 0.5*(result4+transpose(result4))
return
end
================================================
FILE: old version/kslipCreepPowerLaw.f
================================================
C Christos Skamniotis
C University of Oxford
C December 2021
C
C Simplified power law slip rule and empirical creep law for tertiary creep:
subroutine kslipCreepPowerLaw(xNorm,xDir,tau,signtau,tauc,
+ dtime,nSys,iphase,CurrentTemperature,Lp,
+ tmat,gammaDot,cubicslip,creep,slipsysplasstran)
implicit none
! number of slip system
integer, intent(in):: nSys
! activation flag for cubic slip (additional 6 systems activated when loading is not along 001)
INTEGER,intent(in) :: cubicslip
! activation flag for tertiary creep
INTEGER,intent(in) :: creep
! accumulated plastic strain on each slip system, signed
real*8, intent(in) :: slipsysplasstran(nSys)
! phase
integer, intent(in):: iphase
! slip directions and normals
real*8, intent(in) :: xNorm(nSys,3), xDir(nSys,3)
! resolved shear stress and critical resolved shear stress
! and sign of the resolved shear stress
! tauc is positive by definition
real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys)
! time step
real*8, intent(in) :: dtime
! Temperature in Kelvin
real*8, intent(in) :: CurrentTemperature
! plastic velocity gradient
real*8, intent(out) :: Lp(3,3)
! and its derivative with respect to the stress
real*8, intent(out) :: tmat(6,6)
! plastic strain rate on each slip system
real*8, intent(out) :: gammaDot(nSys)
! Gas constant (J*mol/K)
real*8, parameter :: R = 8.314462
******************************************
** The following parameters must be set **
*** RATE DEPENDENT PLASTICITY (thermally activated glide)
! reference strain rate (1/s)
real*8, parameter :: ref_gammaDot = 7.071136E-05
! rate sensitivity multiplier (1/Kelvin)
real*8, parameter :: slopeM = -0.036273
! rate sensitivity constant (-/-)
real*8, parameter :: constantM = 65.33827694
*** TERTIARY CREEP (dislocation climb & damage)
! Initial creep rate constants
! Activation energy for creep (J/mol)
real*8, parameter :: Qo = 440.0e3
! reference rate (1/s)
real*8, parameter :: ao = 6.0e7
! stress multiplier (1/MPa)
real*8, parameter :: bo = 5.0e-2
! Climb/damage constants
! Activation energy for damage (J/mol)
real*8, parameter :: QD = 170.0e3
! reference rate (1/s)
real*8, parameter :: aD = 6.0e-1
! stress multiplier (1/MPa)
real*8, parameter :: bD = 3.5e-2
** End of parameters to set **
******************************************
! slip system index
integer :: i
! Schmid tensor and its transpose
real*8 :: SNij(3,3), NSij(3,3)
! Schmid tensor and its transpose in Voigt notation
real*8 :: sni(6), nsi(6)
! higher order Schmid tensor in Voigt notation
real*8 :: SNNS(6,6)
! temporary slip normal and slip direction
real*8 :: tempNorm(3), tempDir(3)
! temporary variable to calculate the Jacobian
real*8 :: result1
! Jacobian
real*8 :: result4(6,6)
! RSS/CRSS ratio
real*8 :: tau_ratio
! rate sensitivity
real*8 :: mpower
C
C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
C
tmat = 0.0
Lp = 0.0
result4 = 0.0
mpower = slopeM * CurrentTemperature + constantM
! contribution to Lp of all slip systems
do i=1,nSys
tau_ratio=tau(i)/tauc(i)
if (tau_ratio > 0.0) then
! strain rate due to thermally activated glide (rate dependent plasticity)
gammaDot(i) = signtau(i)*ref_gammaDot*tau_ratio**mpower
! calculate derivative d ( gammaDot(i) ) / d ( tau(i) )
result1 = ref_gammaDot*mpower*(1/tauc(i))*(tau_ratio**(mpower-1))
! add tertiary creep rate
if (creep == 1 .and. tau_ratio > 0.05) then
gammaDot(i) = gammaDot(i) +
+ signtau(i)*ao*exp(bo*tau(i)-Qo/(R*CurrentTemperature)) +
+ signtau(i)*abs(slipsysplasstran(i))*aD*
+ exp(bD*tau(i)-QD/(R*CurrentTemperature))
result1 = result1 + ao*bo*
+ exp(bo*tau(i)-Qo/(R*CurrentTemperature)) +
+ abs(slipsysplasstran(i))*aD*bD*
+ exp(bD*tau(i)-QD/(R*CurrentTemperature))
end if
! calculate SNNS
tempNorm = xNorm(i,:)
tempDir = xDir(i,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3)
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3)
call KGMATVEC6(SNij,sni)
call KGMATVEC6(NSij,nsi)
SNNS = spread(sni,2,6)*spread(nsi,1,6)
! contribution to Jacobian
result4 = result4 + dtime*result1*SNNS
! plastic velocity gradient contribution
Lp = Lp + gammaDot(i)*SNij
else
gammaDot(i) = 0.0
end if
end do
tmat = 0.5*(result4+transpose(result4))
return
end
================================================
FILE: old version/kslipDoubleExponent.f
================================================
C Nicolo Grilli
C University of Bristol
C Christos Skamniotis
C University of Oxford
C 11 Novembre 2021
C
C Double exponent slip rule in:
C Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal
C plasticity finite-element models on the simulation of nickel alloys,
C Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951
C Equation in Table 1
subroutine kslipDoubleExponent(xNorm,xDir,tau,signtau,tauc,
+ burgerv,dtime,nSys,iphase,CurrentTemperature,Backstress,Lp,
+ tmat,gammaDot)
implicit none
! number of slip system
integer, intent(in):: nSys
! phase
integer, intent(in):: iphase
! slip directions and normals
real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3)
! resolved shear stress and critical resolved shear stress
! and sign of the resolved shear stress
! tauc is positive by definition
real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys)
! Burgers vectors
real*8, intent(in) :: burgerv(nSys)
! time step
real*8, intent(in) :: dtime
! Temperature
real*8, intent(in) :: CurrentTemperature
! Backstress state variable
real*8, intent(in) :: Backstress(nSys)
! plastic velocity gradient
real*8, intent(out) :: Lp(3,3)
! and its derivative with respect to the stress
real*8, intent(out) :: tmat(6,6)
! plastic strain rate on each slip system
real*8, intent(out) :: gammaDot(nSys)
******************************************
** The following parameters must be set **
! Free energy variation (J/mol)
real*8, parameter :: dF = 286000.0
! Boltzmann constant (J/K)
real*8, parameter :: kB = 1.38e-23
! reference strain rate (1/s)
real*8, parameter :: gammadot0 = 1.0e7
! ratio between shear modulus at CurrentTemperature
! and at 0K
real*8, parameter :: mu_over_mu0 = 103.5 / 134.0
! strain rate sensitivity exponents
real*8, parameter :: p = 0.59
real*8, parameter :: q = 1.8
! Peierls stress at 0K (MPa)
real*8, parameter :: tau0 = 342.0
** End of parameters to set **
******************************************
! slip system index
integer :: i
! Schmid tensor and its transpose
real*8 :: SNij(3,3), NSij(3,3)
! Schmid tensor and its transpose in Voigt notation
real*8 :: sni(6), nsi(6)
! higher order Schmid tensor in Voigt notation
real*8 :: SNNS(6,6)
! temporary slip normal and slip direction
real*8 :: tempNorm(3), tempDir(3)
! ratio between free energy jump and KB * T
real*8 :: dF_over_kBT
! argument of the exponential to calculate gammaDot
real*8 :: gammaDot_exp_arg
! effective stress for slip
real*8 :: tau_eff
! temporary variable to calculate the Jacobian
real*8 :: result1
! product between tauc and mu_over_mu0
real*8 :: tauc_mu_over_mu0
! product between tau0 and mu_over_mu0
real*8 :: tau0_mu_over_mu0 = mu_over_mu0 * tau0
! the variable elevated to power p (temporary variable)
real*8 :: powerp
! Jacobian
real*8 :: result4(6,6)
dF_over_kBT = dF / (kB * CurrentTemperature)
C
C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
tmat = 0.0
Lp = 0.0
result4 = 0.0
! contribution to Lp of all slip systems
do i=1,nSys
tauc_mu_over_mu0 = mu_over_mu0 * tauc(i)
tau_eff = abs(tau(i) - Backstress(i)) - tauc_mu_over_mu0
if (tau_eff >= 0.0) then
gammaDot_exp_arg = tau_eff / tau0_mu_over_mu0 ! always positive
if (gammaDot_exp_arg >= 1.0) then ! avoid negative values before elevating to power q
gammaDot_exp_arg = 0.0
powerp = 0.0
else ! standard case
powerp = gammaDot_exp_arg**p
gammaDot_exp_arg = (1.0 - powerp)**q
end if
gammaDot(i) = gammadot0*exp(-dF_over_kBT*gammaDot_exp_arg)
if ((tau(i) - Backstress(i)) < 0.0) then ! sign is based on (tau(i) - Backstress(i))
gammaDot(i) = (-1.0) * gammaDot(i)
end if
tempNorm = xNorm(i,:)
tempDir = xDir(i,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3)
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3)
call KGMATVEC6(SNij,sni)
call KGMATVEC6(NSij,nsi)
SNNS = spread(sni,2,6)*spread(nsi,1,6)
! calculate derivative d ( gammaDot(i) ) / d ( tau(i) )
result1 = abs(gammaDot(i))
result1 = result1 * dF_over_kBT
result1 = result1 * q
result1 = result1 * ((1.0 - powerp)**(q-1.0))
result1 = result1 * p
result1 = result1 / (tau0_mu_over_mu0**p)
result1 = result1 * ((tau_eff)**(p-1.0))
! contribution to Jacobian
result4 = result4 + dtime*result1*SNNS
! plastic velocity gradient contribution
Lp = Lp + gammaDot(i)*SNij
else
gammaDot(i) = 0.0
end if
end do
tmat = 0.5*(result4+transpose(result4))
return
end
================================================
FILE: old version/kslipPowerLaw.f
================================================
** Nicolo Grilli
** 28th January 2019
** alpha-Uranium
** AWE project
**
** including twinning
** NO rotation of slip systems due to twinning
** but slip is allowed inside twins
**
** for full twin developement a characteristic
** time is introduced if twin volume fraction > 0.5
** This leads the twin volume fraction to reach 1.0
** after about the characteristic time
**
subroutine kslipPowerLaw(xNorm,xDir,xTwinNorm,xTwinDir,
+ tau,tautwin,signtau,signtautwin,tauc,tauctwin,
+ burgerv,dtime,nSys,nTwin,iphase,irradiate,
+ gndcut,gndtot,rhossd,twinvolfrac,twinvolfractotal,
+ Lp,tmat,gammaDot,gammaTwinDot,twinon,
+ nTwinStart,nTwinEnd)
implicit none
integer,intent(in) :: nSys,nTwin,iphase,irradiate,twinon
integer,intent(in) :: nTwinStart,nTwinEnd
real*8, intent(in) :: dtime, signtau(nSys),signtautwin(nTwin), gndcut(nSys), gndtot,rhossd
real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys),burgerv(nSys)
real*8, intent(in) :: xTwinNorm(nTwin,3),xTwinDir(nTwin,3),tautwin(nTwin),tauctwin(nTwin)
real*8, intent(in) :: twinvolfrac(nTwin), twinvolfractotal ! twin volume fraction
real*8, intent(inout) :: gammaTwinDot(nTwin)
real*8, intent(out) :: Lp(3,3),tmat(6,6), gammaDot(nSys)
integer :: i, j
real*8 :: alpha,beta,result1, rhom,dF,f,T,k,gamma0,b,psi,V,
+ SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6),
+ tempNorm(3), tempDir(3)
! alpha-Uranium shear strain rate law
real*8 :: gamma0dot, gamma0dottwin ! slip rate prefactor
real*8 :: nsliprate ! slip rate exponent
real*8 :: xtau ! ratio: resolved shear stress / CRSS
C
C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH
C RESPECT TO THE STRESS DEFINED AS tmat***
C
gamma0dot = 1.0e-3
gamma0dottwin = 1.0e-3
nsliprate = 20.0
!ne = microns, stress = MPa, F = microN, therefore E = pJ
C
tmat=0.; Lp = 0.;result4=0.
Do I=1,nSys ! shear due to slip without twinning
xtau = tau(I) / tauc(I)
! 0.5 for alpha-Uranium model due to the exponent 20 in the shear rate law
! slip is allowed inside twins
if (xtau >= 0.5) THEN
gammaDot(I)=gamma0dot*(xtau**nsliprate)*signtau(I) ! signed
tempNorm = xNorm(I,:);
tempDir = xDir(I,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) ! b_i tensor product n_j
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) ! n_i b_j
CALL KGMATVEC6(SNij,sni)
CALL KGMATVEC6(NSij,nsi)
! nsi and sni are the same thing
SNNS = spread(sni,2,6)*spread(nsi,1,6)
result1 = xtau**(nsliprate-1.0)
! result4 = dt dL_{ij}/dsigma_{kl} with indices in Voigt notation
! such that 4,5,6 components contributes as (b_i n_j + b_j n_i)
! slip inside twin is allowed
result4=result4+(gamma0dot*nsliprate/tauc(I))*dtime*result1*SNNS
! update plastic velocity gradient
! slip is allowed inside twins
Lp = Lp + gammaDot(I)*SNij
else
gammaDot(I)=0.0
end if
C
END DO
if (twinon == 1) then ! twin active
Do I=nTwinStart,nTwinEnd ! shear due to twinning
xtau = tautwin(I) / tauctwin(I)
! 0.5 for alpha-Uranium model due to the exponent 20 in the shear rate law
! if twins have already occupied the whole volume
! no additional plastic strain from twinning is possible
if ((xtau >= 0.5 .or. twinvolfrac(I) > 0.5) .and. twinvolfrac(I) < 1.0) THEN
gammaTwinDot(I)=gamma0dottwin*(xtau**nsliprate)*signtautwin(I) ! signtautwin always positive
if (gammaTwinDot(I) > 1000.0*gamma0dottwin) then
gammaTwinDot(I) = 1000.0*gamma0dottwin
end if
! add contribution if activation threshold 0.5 has been passed
! here characteristic time is 1s
if (twinvolfrac(I) > 0.5) then
gammaTwinDot(I)=gammaTwinDot(I)+0.299*(1.0-twinvolfrac(I))
end if
tempNorm = xTwinNorm(I,:);
tempDir = xTwinDir(I,:)
SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) ! b_i tensor product n_j
NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) ! n_i b_j
CALL KGMATVEC6(SNij,sni)
CALL KGMATVEC6(NSij,nsi)
! nsi and sni are the same thing
SNNS = spread(sni,2,6)*spread(nsi,1,6)
if (gammaTwinDot(I) > 999.0*gamma0dottwin) then
result1 = 707.9
else
result1 = xtau**(nsliprate-1.0)
end if
! result4 = dt dL_{ij}/dsigma_{kl} with indices in Voigt notation
! such that 4,5,6 components contributes as (b_i n_j + b_j n_i)
result4 = result4 + (gamma0dottwin*nsliprate/tauctwin(I))*dtime*result1*SNNS
! update plastic velocity gradient
Lp = Lp + gammaTwinDot(I)*SNij
else
gammaTwinDot(I)=0.0
end if
END DO
end if ! twin active
tmat = 0.5*(result4+transpose(result4))
return
end
================================================
FILE: old version/ksvd.f
================================================
!Slip Rule Re-development
subroutine ksvd(A,m,n,B)
implicit none
integer,parameter :: LWORK=5315
real*8,parameter :: zero = 1.0e-7
integer,intent(in):: m,n
real*8,intent(in) :: A(m,n)
real*8,intent(out) :: B(n,m)
real*8 :: U(m,n),VT(m,n),diagm(n,m),qt1(m,m),WORK(LWORK)
integer,dimension(:),allocatable :: IWORK
real*8,dimension(:),allocatable :: S
integer :: i,j,ialloc,INFO, LDA, LDU, LDVT
real*8 :: xbig
CHARACTER*1 :: JOBZ
character (len=*),parameter :: fmt2="(24(' ',(I2,1X)))",
+ fmt3="(9(' ',(F8.5,1X)))",fmt6= "(24(' ',(ES11.3,1X)))"
EXTERNAL DGESDD
!Allocate dimensions to key arrays
!============================
allocate(S(min(m,n)),IWORK(8*min(m,n)),STAT=ialloc)
S=0.; B=0.; U=0.;VT=0.;diagm=0.;qt1=0.; IWORK=0
!Find SVD of tau* (with LAPACK)
!============================
JOBZ = 'A'; LDA = m; LDU = m; LDVT = n
call DGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK,
$ LWORK, IWORK, INFO )
xbig = maxval(S)
do i=1,ubound(S,1)
! if(abs(S(i)) <= zero) S(i) = 0.
if(abs(S(i)) <= 0.0001*xbig) S(i) = 0. !i.e. difference of four orders of magnitude
end do
write(6,*)"singular values,xbig",xbig; write(6,fmt6) S
!Find psuedoinverse of A
!============================
do i=1,ubound(S,1); if(S(i) /= 0.) diagm(i,i) = 1./S(i); end do
qt1 = matmul(diagm,transpose(U))
B = matmul(transpose(VT),qt1)
return
end subroutine ksvd
================================================
FILE: old version/ktwinneighbourhood.f
================================================
C Non-local twin model
C find neigbourhood of an integration point
C and calculate the integral of the twin volume fraction
C on that neighbourhood
C see: Grilli, Cocks, Tarleton
C A phase field model for the growth and characteristic thickness of deformation-induced twins
C Journal of the Mechanics and Physics of Solids, Volume 143, October 2020, 104061
C calculation of TwinUpDownEl, TwinUpDownIP
C at the second increment when kgausscoords
C have been assigned for all elements and IPs
SUBROUTINE kfindneighbourhood(noel,npt,COORDS,STATEV,NSTATV,
+ Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP,
+ nTwinStart,nTwinEnd,nTwin)
integer,intent(in) :: NSTATV
real*8,intent(in) :: COORDS(3)
real*8,intent(in) :: STATEV(NSTATV)
integer,intent(in) :: noel,npt
integer,intent(in) :: nTwinStart
integer,intent(in) :: nTwinEnd
integer,intent(in) :: nTwin
include 'mycommon.f'
integer,intent(inout) :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown)
integer,intent(inout) :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown)
! temporary vector from current IP
! to neighbouring IP and its norm
real*8 :: NeighbourConnection(3)
real*8 :: NeighbourConnectionAbs
! temporary gauss point coordinates
real*8 :: gausscoords(3)
! rotation matrix needed to
! rotate twin directions and normals
real*8 :: gmatinv(3,3)
! temporary twin normal
real*8 :: ttwinnor(3)
! twin normals
real*8 :: dtwinnor(nTwin,3)
! temporary projection of the distance
! from neighbouring IP on the twin plane normal
real*8 :: NeighbourProjection
! temporary distance from neighbouring IP
! to the axis of the cylinder passing through
! the current IP and parallel to the twin plane normal
real*8 :: NeighbourDistCyl
! temporary indices of the neighbouring IPs
! two discrete twin systems per grain
! but indices can be arbitrary based on nTwinStart and nTwinEnd
integer :: NeighbourUpDownIndex(nTwin)
! flag telling that NUpDown has been exceeded
! not enough space in the NUpDown variable
! for neighbouring points
integer :: FlagNUpDown
! temporary indices of SMAIntArray
! converting noel, npt and NeighbourUpDownIndex
! into the SMA array index
integer :: ArrayIndexUpDown
integer :: elem, ip, i, j, twinindex
! twin normals are necessary
! to determine the position of an IP with
! respect to a formed twin
include 'xTwinNormAlphaUranium.f'
NeighbourUpDownIndex(1:nTwin) = 0
FlagNUpDown = 0
! loop over all elements and IPs
do elem=1,nElements
do ip=1,nintpts
NeighbourConnection(1:3) = 0.0
NeighbourConnectionAbs = 0.0
if (elem /= noel .or. ip /= npt) then ! check that IP is not the current one
if (kGrainIndex(noel,npt) == kGrainIndex(elem,ip)) then ! check that IP belongs to the same grain
! assign IP coordinate to a temporary variable
gausscoords(1) = kgausscoords(elem,ip,1)
gausscoords(2) = kgausscoords(elem,ip,2)
gausscoords(3) = kgausscoords(elem,ip,3)
! check that x coordinate is close to
! the current element
if (abs(COORDS(1) - gausscoords(1)) < 10.001) then
! check that y coordinate is close to
! the current element
if (abs(COORDS(2) - gausscoords(2)) < 10.001) then
! check that z coordinate is close to
! the current element
if (abs(COORDS(3) - gausscoords(3)) < 1.001) then
! calculate vector from current IP to
! neighbouring IP
NeighbourConnection(1) = gausscoords(1) - COORDS(1)
NeighbourConnection(2) = gausscoords(2) - COORDS(2)
NeighbourConnection(3) = gausscoords(3) - COORDS(3)
NeighbourConnectionAbs = dot_product(NeighbourConnection(1:3),NeighbourConnection(1:3))
NeighbourConnectionAbs = sqrt(NeighbourConnectionAbs)
! assign rotation matrix to gmatinv
DO i=1,3
DO j=1,3
gmatinv(i,j) = STATEV(j+(i-1)*3)
END DO
END DO
DO twinindex=nTwinStart,nTwinEnd ! cycle over twin systems
! dtwinnor is assumed normalized
! rotate it to the sample reference frame
DO i=1,3
ttwinnor(i) = dtwinnor(twinindex,i) ! already normalized
END DO
ttwinnor = matmul(gmatinv,ttwinnor)
! calculate projection of NeighbourConnection
! on the twin plane normal
NeighbourProjection = abs(dot_product(NeighbourConnection(1:3),ttwinnor(1:3)))
NeighbourDistCyl = NeighbourConnectionAbs*NeighbourConnectionAbs
NeighbourDistCyl = NeighbourDistCyl - NeighbourProjection*NeighbourProjection
NeighbourDistCyl = sqrt(NeighbourDistCyl)
! check if the neighbouring point
! is up/down (inside the cylinder or not)
if (NeighbourDistCyl < 1.001 .and. NeighbourProjection < 5.001) then ! up/down
NeighbourUpDownIndex(twinindex) = NeighbourUpDownIndex(twinindex) + 1
if (NeighbourUpDownIndex(twinindex) <= NUpDown) then
ArrayIndexUpDown = (noel-1)*nintpts*NUpDown+(npt-1)*NUpDown+NeighbourUpDownIndex(twinindex)
if (twinindex == nTwinStart) then
Twin1UpDownEl(ArrayIndexUpDown) = elem
Twin1UpDownIP(ArrayIndexUpDown) = ip
end if
if (twinindex == nTwinEnd) then
Twin2UpDownEl(ArrayIndexUpDown) = elem
Twin2UpDownIP(ArrayIndexUpDown) = ip
end if
else
FlagNUpDown = 1 ! NUpDown needs to be increased
end if
end if ! check up/down
END DO ! cycle over twin systems
end if ! check z coordinate
end if ! check y coordinate
end if ! check x coordinate
end if ! check that IP belongs to the same grain
end if ! check that IP is not the current one
end do ! loop over all IPs
end do ! loop over all elements
! assign number of Neighbours to common block
kNoNeighbours(noel,npt,1) = NeighbourUpDownIndex(nTwinStart)
kNoNeighbours(noel,npt,2) = NeighbourUpDownIndex(nTwinEnd)
if (FlagNUpDown == 1) then
if (maxval(NeighbourUpDownIndex) > NUpDownExceeded) then
NUpDownExceeded = maxval(NeighbourUpDownIndex)
write(*,*) "WARNING: number of up/down neighbouring IPs exceeded"
write(*,*) "Max value reached by NeighbourUpDownIndex(nTwinStart:nTwinEnd) is:"
write(*,*) "maxval(NeighbourUpDownIndex)"
write(*,*) maxval(NeighbourUpDownIndex)
end if
end if
RETURN
END
C calculate integral of the twin volume fraction
C in the up/down region
SUBROUTINE ktwinvolfracintegral(noel,npt,TwinIntegral,
+ Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP,
+ nTwinStart,nTwinEnd,nTwin)
integer,intent(in) :: nTwinStart
integer,intent(in) :: nTwinEnd
integer,intent(in) :: nTwin
real*8,intent(inout) :: TwinIntegral(nTwin)
integer,intent(in) :: noel,npt
include 'mycommon.f'
integer,intent(in) :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown)
integer,intent(in) :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown)
integer :: I, twinindex
! temporary indices of SMAIntArray
! converting noel, npt and NeighbourUpDownIndex
! into the SMA array index
integer :: ArrayIndexUpDown
! temporary element index
! to find neighbouring IPs
integer :: noelTwin
! temporary IP index
! to find neighbouring IPs
integer :: nptTwin
DO twinindex=nTwinStart,nTwinEnd ! cycle over twin systems
DO I=1,NUpDown ! cycle over up/down neighbours
ArrayIndexUpDown = (noel-1)*nintpts*NUpDown+(npt-1)*NUpDown+I
if (twinindex == nTwinStart) then
noelTwin = Twin1UpDownEl(ArrayIndexUpDown)
nptTwin = Twin1UpDownIP(ArrayIndexUpDown)
end if
if (twinindex == nTwinEnd) then
noelTwin = Twin2UpDownEl(ArrayIndexUpDown)
nptTwin = Twin2UpDownIP(ArrayIndexUpDown)
end if
if (noelTwin /= 0 .and. nptTwin /= 0) then ! this IP was not assigned: e.g. element close to the boundary
if (twinindex == nTwinStart) then
TwinIntegral(twinindex) = TwinIntegral(twinindex) + kTwinVolFrac(noelTwin,nptTwin,1)
end if
if (twinindex == nTwinEnd) then
TwinIntegral(twinindex) = TwinIntegral(twinindex) + kTwinVolFrac(noelTwin,nptTwin,2)
end if
end if
END DO ! cycle over up/down neighbours
END DO ! end cycle over twin systems
! average over neighbours
if (kNoNeighbours(noel,npt,1) == 0) then ! kNoNeighbours is not assigned at the first increment
TwinIntegral(nTwinStart) = 0.0
else
TwinIntegral(nTwinStart) = TwinIntegral(nTwinStart) / kNoNeighbours(noel,npt,1)
end if
if (kNoNeighbours(noel,npt,2) == 0) then ! kNoNeighbours is not assigned at the first increment
TwinIntegral(nTwinEnd) = 0.0
else
TwinIntegral(nTwinEnd) = TwinIntegral(nTwinEnd) / kNoNeighbours(noel,npt,2)
end if
RETURN
END
================================================
FILE: old version/ktwinrot.f
================================================
subroutine ktwinrot(nTwin,TwinRot)
implicit none
integer :: i,j,k
integer,parameter :: m = 3
integer,intent(in):: nTwin
real*8,intent(out):: TwinRot(nTwin,m,m)
real(kind=8):: dtwindir(nTwin,m),dtwinnor(nTwin,m)
include 'xTwinDirAlphaUranium.f'
include 'xTwinNormAlphaUranium.f'
! for compound twins
! Q_{ij} = 2 n_i n_j - delta_{ij}
! where n_i is the twin plane normal
! see Franz Roters' thesis 2011
! Advanced Material Models for the Crystal Plasticity Finite Element Method
! equation 7.48
DO k=1,nTwin ! only compound twins are considered
DO i=1,m
DO j=1,m
TwinRot(k,i,j) = 2.0 * dtwinnor(k,i) * dtwinnor(k,j)
END DO
END DO
END DO
! for 2nd kind twins
! Q_{ij} = 2 d_i d_j - delta_{ij}
! where d_i is the twin direction
! see Cahn, Acta Mater. 1953 (Figure 2)
!DO k=3,nTwin
! DO i=1,m
! DO j=1,m
! TwinRot(k,i,j) = 2.0 * dtwindir(k,i) * dtwindir(k,j)
! END DO
! END DO
!END DO
! subtract the identity matrix
! for both 1st and 2nd kind twin
DO k=1,nTwin
DO i=1,m
TwinRot(k,i,i) = TwinRot(k,i,i) - 1.0
END DO
END DO
return
end
================================================
FILE: old version/mycommon.f
================================================
! Nicolo Grilli
! University of Oxford
! AWE project 2020
! 7th April 2020
! calculate integral of the twin volume fraction
! in a cylinder parallel to the twin plane normal
! two twin systems
! use allocatable arrays to avoid passing
! the 2 GB limit for static arrays in the stack
! as common blocks do
! use the command SMALocalIntArrayCreateInit(ID,SIZE,0)
!Use this to avoid editing multiple common blocks independently
integer, parameter :: nElements = 18315
integer, parameter :: nintpts = 8
integer, parameter :: nsdv = 125
! number of cohesive elements
integer, parameter :: nElemUel = 36390
! maximum number of IPs in the cylinder
integer, parameter :: NUpDown = 3428
! NUpDown * nElements * nintpts
integer, parameter :: ArrayNUpDown = 502270560
real*8 :: kFp, kgausscoords, kcurlFp, kTwinVolFrac
real*8 :: kSigma0
real*8 :: kDeltaEff
integer :: kNoNeighbours
! grain index for each element and IP
integer :: kGrainIndex, NUpDownExceeded
COMMON/UMPS/kFp(nElements, nintpts, 9),
+ kgausscoords(nElements,nintpts,3),
+ kcurlFp(nElements, nintpts, 9),
+ kTwinVolFrac(nElements,nintpts,2), ! twin volume fraction
+ kNoNeighbours(nElements,nintpts,2), ! number of up/down neighbours
+ kGrainIndex(nElements,nintpts),
+ kSigma0(nElements,nintpts), ! output the max stress to failure
+ kDeltaEff(nElements,nintpts), ! output the max effective opening
+ NUpDownExceeded ! keep track of the max value of the neighbouring IP reached
================================================
FILE: old version/test.txt
================================================
================================================
FILE: old version/uexternaldb.f
================================================
SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC)
C
INCLUDE 'ABA_PARAM.INC'
DIMENSION TIME(2)
C
!user coding to set up the FORTRAN environment, open files, close files,
!calculate user-defined model-independent history information,
!write history information to external files,
!recover history information during restart analyses, etc.
!do not include calls to utility routine XIT
call MutexInit( 1 ) ! initialize Mutex #1
call MutexInit( 2 )
call MutexInit( 3 )
call MutexInit( 4 )
call MutexInit( 5 )
call MutexInit( 6 )
call MutexInit( 7 )
call MutexInit( 8 )
call MutexInit( 9 )
call MutexInit( 10 )
call MutexInit( 11 )
call MutexInit( 12 )
call MutexInit( 13 )
call MutexInit( 14 )
call MutexInit( 15 )
RETURN
END
================================================
FILE: old version/umat.for
================================================
***********************************************************
** Crystal Plasticity UMAT
** University of Oxford
** Developed by Nicolo Grilli 2020,
** rewrite of UMAT by Ed Tarleton which was based on UEL by Fionn Dunne 2007
**********************************************************
SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD,
1 RPL,DDSDDT,DRPLDE,DRPLDT,
2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME,
3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT,
4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,KSTEP,KINC)
INCLUDE 'ABA_PARAM.INC'
#include
CHARACTER*80 CMNAME
DIMENSION STRESS(NTENS),STATEV(NSTATV),
1 DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),
2 STRAN(NTENS),DSTRAN(NTENS),TIME(2),PREDEF(1),DPRED(1),
3 PROPS(NPROPS),COORDS(3),DROT(3,3),DFGRD0(3,3),DFGRD1(3,3)
******************************************
** The following parameters must be set **
! activate debug mode with Visual Studio
! 0 = off ; 1 = on
integer, parameter :: debug = 0
! activate GND calculations
! 0 = off ; 1 = on
integer, parameter :: gndon = 0
! activate twin systems
! 0 = off ; 1 = on
integer, parameter :: twinon = 0
! total number of twins (active/inactive)
integer, parameter :: TotalNTwin = 2
! the active twins are the ones in the
! interval [nTwinStart,nTwinEnd] in the
! twin system file
integer, parameter :: nTwinStart = 1
integer, parameter :: nTwinEnd = 2
! activate irradiation effect
! 0 = off ; 1 = on
integer, parameter :: irradiate = 0
! Activate cubic slip systems for single crystal FCC
integer, parameter :: cubicslip = 0
** End of parameters to set **
******************************************
! dimension of the space
PARAMETER (M=3,N=3)
! Gauss points coordinates of the parent C3D8 element
DIMENSION gauss(8,3), gausscoords(3,8)
! identity matrix
DIMENSION xI(3,3)
! coordinates of the nodes of the parent element
DIMENSION xnat(8,3)
! curl of the plastic deformation gradient
DIMENSION curlfp(8,9)
! plastic deformation gradient
DIMENSION Fp(8,9)
! stress components
real*8 :: stressvec(6)
! stress increment
real*8 :: dstressinc(6)
! strain increment
real*8 :: dtotstran(6)
! total strain
real*8 :: totstran(6)
! time derivative of the deformation gradient
real*8 :: Fdot(3,3)
! inverse of the deformation gradient
real*8 :: invF(3,3)
! deformation gradient at previous increment
real*8 :: F(3,3)
! velocity gradient
real*8 :: L(3,3)
! Von Mises invariant plastic strain rate
real*8 :: pdot
! Von Mises stress
real*8 :: vms
integer :: i, j, K, debugWait
! number of slip systems
integer :: nSys
! total number of twins
integer :: nTwin
! number of screw systems
integer :: ns
! number of active slip systems considered
integer :: L0=12 ! HCP
integer :: L1=12 ! BCC
integer :: L2 ! FCC: variable because cubic systems can be included
integer :: L4=7 ! Olivine
integer :: LalphaUranium=8 ! alpha-uranium
! crystal type
! first material constant in the input file
! 0 = HCP
! 1 = BCC
! 2 = BCC
! 3 = Carbide
! 4 = Olivine
! 5 = Orthorombic
integer :: iphase
! integral of the twin volume fraction in a 1 um cylinder around
! the twin plane normal is calculated to determine the CRSS
! of the twin system in the discrete twin model
real*8 :: TwinIntegral(TotalNTwin)
! position of the Gauss point in the C3D8 parent element
PARAMETER ( xgauss = 0.577350269189626)
include 'mycommon.f'
! arrays to store element index and IP index
! of the neighbouring IPs
integer, target :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown) ! first twin sys storage
integer, target :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown) ! second twin sys storage
pointer(ptrTwin1UpDownEl,Twin1UpDownEl)
pointer(ptrTwin1UpDownIP,Twin1UpDownIP)
pointer(ptrTwin2UpDownEl,Twin2UpDownEl)
pointer(ptrTwin2UpDownIP,Twin2UpDownIP)
! wait here to attach Visual Studio debugger
do while (debug == 1)
debugWait = 1
end do
! if sinh( ) in the slip law has probably blown up
! then try again with smaller dt
if(any(DFGRD1 /= DFGRD1)) then
call MutexLock( 1 ) ! lock Mutex #1
pnewdt = 0.5
write(*,*) "*** WARNING DFGRD1 = NaN: noel, npt, time: ", noel, npt, time
call MutexUnlock( 1 ) ! lock Mutex #1
return
end if
if (cubicslip == 0) then
L2=12
else
L2=18
end if
! read crystal type from input file
! first material constant
iphase = int(props(1))
SELECT CASE(iphase)
CASE(0) !hcp
nSys = L0
ns = 9 ! number of screw systems
case(1) !bcc
nSys = L1
ns = 4
case(2) !fcc
nSys = L2
ns = 6
case(3) !carbide
nSys = L2
ns = 0
case(4) !olivine
nSys = L4
ns = 2
case(5) !alpha-Uranium
nSys = 8
ns = 0
case default
WRITE(*,*)"Not sure what crystal type. Material constants."
END SELECT
! assign number of twins to initialize
! arrays with the right size in kmat
nTwin = TotalNTwin
C WRITE PROPS INTO SVARS TO INITIALIZE (ONCE ONLY),
if (kinc <= 1 .and. kstep==1) then
STATEV = 0.
! read rotation matrix from the material constants
! 2 to 10 in the input file
! and assign to state variables 1 to 9
! order of the components in the input file must be
! R11, R12, R13, R21, R22, R23, R31, R32, R33
do i=1,3
do j=1,3
STATEV(j+(i-1)*3) = props(j+1+((i-1)*3))
end do
end do
! Initialize plastic deformation gradient
! to identity
STATEV(81) = 1.0
STATEV(85) = 1.0
STATEV(89) = 1.0
! initialize cumulative plastic slip to zero
STATEV(35) = 0.0
! initialize hardening from defects
if (irradiate == 1) then
STATEV(36) = 750.0
else
STATEV(36) = 0.0
end if
! initialize sessile SSD density
STATEV(54) = 0.01
! initialize dislocation density and twin phase field
call kRhoTwinInit(nTwin,M,NSTATV,STATEV,twinon,nTwinStart,nTwinEnd,
+ iphase,COORDS,nSys)
! initialize plastic deformation gradient
call MutexLock( 2 ) ! lock Mutex #2
kFp(noel,npt,1:9) = 0.0
call MutexUnlock( 2 ) ! unlock Mutex #2
! initialize gauss points coordinates
call MutexLock( 3 ) ! lock Mutex #3
kgausscoords(noel,npt,1:3) = coords(1:3)
call MutexUnlock( 3 ) ! unlock Mutex #3
! initialize curl of plastic deformation gradient
call MutexLock( 4 ) ! lock Mutex #4
kcurlFp(noel,npt,1:9) = 0.0
call MutexUnlock( 4 ) ! unlock Mutex #4
! initialize number of neighbouring IPs
call MutexLock( 7 ) ! lock Mutex #7
kNoNeighbours(noel,npt,1:2) = 0
call MutexUnlock( 7 ) ! unlock Mutex #7
! initialize grain index
! it is the constant 11 in the
! material constants of the input file
call MutexLock( 8 ) ! lock Mutex #8
kGrainIndex(noel,npt) = props(11)
NUpDownExceeded = 0
call MutexUnlock( 8 ) ! unlock Mutex #8
! initialize maximum stress of the cohesive law
! and effective opening of fracture surface
call MutexLock( 13 ) ! lock Mutex #13
kSigma0(noel,npt) = 1300.0
kDeltaEff(noel,npt) = 0.0
call MutexUnlock( 13 ) ! unlock Mutex #13
! define local thread variables to store the element and IP
! indices that are within a length l0
! from the current noel and npt
if (twinon == 1) then
ptrTwin1UpDownEl = SMAIntArrayCreate(1,ArrayNUpDown,0)
ptrTwin1UpDownIP = SMAIntArrayCreate(2,ArrayNUpDown,0)
ptrTwin2UpDownEl = SMAIntArrayCreate(3,ArrayNUpDown,0)
ptrTwin2UpDownIP = SMAIntArrayCreate(4,ArrayNUpDown,0)
end if
end if ! END OF WRITE PROPS INTO SVARS TO INITIALIZE (ONCE ONLY)
! access the arrays TwinUpDownEl, TwinUpDownIP
! and assign them to the pointers
if (twinon == 1) then
ptrTwin1UpDownEl = SMAIntArrayAccess(1)
ptrTwin1UpDownIP = SMAIntArrayAccess(2)
ptrTwin2UpDownEl = SMAIntArrayAccess(3)
ptrTwin2UpDownIP = SMAIntArrayAccess(4)
end if
! calculation of Twin1UpDownEl, Twin1UpDownIP
! calculation of Twin2UpDownEl, Twin2UpDownIP
! at the second increment when kgausscoords
! have been assigned for all elements and IPs
if (kinc == 2 .and. kstep == 1 .and. twinon == 1) then
call MutexLock( 9 ) ! lock Mutex #9
call kfindneighbourhood(noel,npt,COORDS,STATEV,NSTATV,
+ Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP,
+ nTwinStart,nTwinEnd,nTwin)
call MutexUnlock( 9 ) ! unlock Mutex #9
end if ! END OF CALCULATION OF TwinUpDownEl and TwinUpDownIP (ONCE ONLY)
! define identity matrix
xI=0.
DO I=1,3
xI(I,I)=1.
END DO
C DETERMINE DEFORMATION AND VELOCITY GRADIENTS
stressvec = 0.0
F=0.
invF = 0.
Fdot = 0.
L=0.
F = DFGRD0
Fdot = (DFGRD1-DFGRD0)/DTIME
CALL lapinverse(F,3,info,invF)
L = matmul(Fdot,invF)
! assign curl of plastic deformation gradient
! to state variables for output
DO i=1,9
statev(37+i) = kcurlfp(noel,npt,i)
END DO
! calculate integral of the twin volume fraction
! for the two twin systems
! in the up/down region
TwinIntegral(1:nTwin) = 0.0
if (twinon == 1) then ! active twin
if (kinc >= 2 .or. kstep > 1) then ! TwinUpDownEl, TwinUpDownIP already assigned
call ktwinvolfracintegral(noel,npt,TwinIntegral,
+ Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP,
+ nTwinStart,nTwinEnd,nTwin)
end if ! check increment
end if ! active twin
C CALL KMAT FOR MATERIAL BEHAVIOUR - Global stiffness matrix C
C and stress
call kmat(dtime,NSTATV,STATEV,xI,NOEL,NPT,time,F,
+ L,iphase,irradiate,DDSDDE,stressvec,dstressinc,totstran,dtotstran,
+ TEMP,DTEMP,vms,pdot,pnewdt,gndon,nSys,nTwin,ns,coords,
+ TwinIntegral,nTwinStart,nTwinEnd,twinon,cubicslip)
! store twin phase field
! in common block variable
call MutexLock( 14 ) ! lock Mutex #14
kTwinVolFrac(noel,npt,1) = STATEV(106+nTwinStart)
kTwinVolFrac(noel,npt,2) = STATEV(106+nTwinEnd)
call MutexUnlock( 14 ) ! unlock Mutex #14
! store UEL variable in STATEV
! for output
STATEV(124) = kDeltaEff(noel,npt)
STATEV(125) = kSigma0(noel,npt)
C RECOVER stress for calculating residual force
DO K=1,6
stress(K)=STATEV(47+K)
END DO
! GND calculations
if (gndon == 1) then
call MutexLock( 5 ) ! lock Mutex #5
kFp(noel,npt,1:9)= statev(81:89)
call MutexUnlock( 5 ) ! unlock Mutex #5
IF (npt == 8 ) THEN ! update curl Fp
C=======================================================================
C SPECIFY GAUSS POINT LOCAL COORDS, AND WEIGHTING CONSTANTS
xnat(1,:) = (/-1.,1.,1./)
xnat(2,:) = (/-1.,-1.,1./)
xnat(3,:) = (/-1.,1.,-1./)
xnat(4,:) = (/-1.,-1.,-1./)
xnat(5,:) = (/1.,1.,1./)
xnat(6,:) = (/1.,-1.,1./)
xnat(7,:) = (/1.,1.,-1./)
xnat(8,:) = (/1.,-1.,-1./)
do i = 1,8
gauss(i,:)=(/xnat(i,1),xnat(i,2),xnat(i,3)/)*xgauss
end do
DO i=1,3
gausscoords(i,1:8) = kgausscoords(noel,1:8,i)
END DO
Fp = kFp(noel,1:8,1:9)
C=======================================================================
C A FULL INTEGRATION GRADIENT SCHEME
CALL kcurlET(curlFp,Fp,xnat,gauss,gausscoords) ! faster and cleaned up version but same result as kcurl
call MutexLock( 6 ) ! lock Mutex #6
kcurlFp(noel,1:8,1:9) = curlFp(1:8,1:9)
call MutexUnlock( 6 ) ! unlock Mutex #6
END IF ! 8 IP check
end if
RETURN
END
include 'kmat.f'
include 'uexternaldb.f'
include 'kdirns.f'
include 'ktwinrot.f'
include 'kslip0.f'
include 'kslip5ET.f'
include 'kslip6ET.f'
include 'kslipPowerLaw.f'
include 'kgndl2ET.f'
include 'kcurlET.f'
include 'kshapes.f'
include 'utils.f'
include 'UEL.for'
include 'ktwinneighbourhood.f'
include 'kRhoTwinInit.f'
include 'kMaterialParam.f'
include 'kCRSS.f'
include 'kHardening.f'
include 'kslipCreepPowerLaw.f'
================================================
FILE: old version/utils.f
================================================
C *************************************************
C *************************************************
C * UTILITY SUBROUTINES *
C *************************************************
C *************************************************
C
C *************************************************
C * TRACE OF A 3X3 MATRIX *
C *************************************************
real*8 function trace(A)
real*8, intent(in):: A(3,3)
trace = A(1,1)+A(2,2)+A(3,3)
return
end function
!Trace for any size of square matrix
! real*8 function trace(A)
! real*8, intent(in):: A(:,:)
! real*8 :: X
! integer :: N
!
! X = 0.
! do i=1,ubound(A,1)
! X = X+ A(i,i)
! end do
! trace = X
! return
! end function
C *************************************************
C * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR *
C *************************************************
SUBROUTINE KMATVEC6(DMIN,DVOUT)
INCLUDE 'aba_param.inc'
PARAMETER (M=3,N=3,K=6)
DIMENSION DMIN(M,N),DVOUT(K)
DO I=1,M
DVOUT(I)=DMIN(I,I)
END DO
DVOUT(4) = DMIN(1,2)
DVOUT(5) = DMIN(1,3)
DVOUT(6) = DMIN(2,3)
RETURN
END
C *************************************************
C * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX *
C *************************************************
SUBROUTINE KVECMAT6(DVIN,DMOUT)
INCLUDE 'aba_param.inc'
PARAMETER (M=3,N=3,K=6)
DIMENSION DVIN(K),DMOUT(M,N)
DO I=1,M
DMOUT(I,I) = DVIN(I)
END DO
DMOUT(1,2) = DVIN(4)
DMOUT(2,1) = DVIN(4)
DMOUT(1,3) = DVIN(5)
DMOUT(3,1) = DVIN(5)
DMOUT(3,2) = DVIN(6)
DMOUT(2,3) = DVIN(6)
RETURN
END
C *************************************************
C * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
C *************************************************
SUBROUTINE KVECPROD(DVIN1,DVIN2,DVOUT)
INCLUDE 'ABA_PARAM.INC'
PARAMETER(M=3)
DIMENSION DVIN1(M),DVIN2(M),DVOUT(M)
DVOUT(1)=DVIN1(2)*DVIN2(3)-DVIN2(2)*DVIN1(3)
DVOUT(2)=DVIN2(1)*DVIN1(3)-DVIN1(1)*DVIN2(3)
DVOUT(3)=DVIN1(1)*DVIN2(2)-DVIN2(1)*DVIN1(2)
RETURN
END
C *************************************************
C * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 *
C *************************************************
SUBROUTINE KDOTPROD(DVIN1,DVIN2,DVOUT)
INCLUDE 'ABA_PARAM.INC'
PARAMETER(M=3)
DIMENSION DVIN1(M),DVIN2(M)
DVOUT = DVIN1(1)*DVIN2(1)+DVIN1(2)*DVIN2(2)+DVIN1(3)*DVIN2(3)
DVOUT = abs(DVOUT)
RETURN
END
C *************************************************
C *TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR *
C *************************************************
SUBROUTINE KGMATVEC6(DMIN,DVOUT)
INCLUDE 'ABA_PARAM.INC'
PARAMETER (M=3,N=3,K=6)
DIMENSION DMIN(M,N),DVOUT(K)
DO I=1,M
DVOUT(I)=DMIN(I,I)
END DO
DVOUT(4) = DMIN(1,2)+DMIN(2,1)
DVOUT(5) = DMIN(3,1)+DMIN(1,3)
DVOUT(6) = DMIN(2,3)+DMIN(3,2)
RETURN
END
C *************************************************
C * INVERSE OF A MATRIX WITH LAPACK *
C *************************************************
!Checked inverse against python's numpy.linalg.inv
subroutine lapinverse(xmatin,M,info,xmatout)
implicit none
integer,intent(in) :: M
real*8,intent(in):: xmatin(M,M) !abaqus won't allow xmatin(:,:)
integer,parameter :: LWORK = 64
real*8,parameter :: zero=1.0e-12
integer :: i,j
integer,intent(out) :: INFO
real*8,intent(out):: xmatout(M,M)
integer :: IPIV(M)
real*8 :: A(M,M)
real*8 :: WORK(LWORK)
EXTERNAL DGETRI, DGETRF
! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6
xmatout = 0.
A = xmatin !Don't input array xmatin
call DGETRF( M, M, A, M, IPIV, INFO )
if(info == 0) then
call DGETRI( M, A, M, IPIV, WORK, LWORK, INFO )
!write(*,*) "work(1) == min LWORK needed", work(1)
else
xmatout = 0.
write (*,*)"DGETRF, illegal value at = ",-info,". No inverse"
end if
do i=1,m;
do j=1,m;
if (abs(A(i,j))<= zero) A(i,j) = 0.
end do
end do
xmatout = A
return
end subroutine
! subroutine lapinverseOLD(xmatin,m,info,xmatout)
! implicit none
!
! integer,intent(in) :: m
! real*8,intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:)
!
! integer,parameter :: LWORK = 8000
! real*8,parameter :: zero=1.0e-6
! integer :: LDA,ialloc,i,n,j
!
! integer,intent(out) :: INFO
! real*8,intent(out):: xmatout(m,m)
! integer, allocatable :: IPIV(:)
! real*8, allocatable :: A(:,:)
! real*8 :: WORK(LWORK)
! EXTERNAL DGETRI, DGETRF
!
! LDA = max(1,m); n = m
! xmatout = 0.
!
! allocate(A(LDA,n),IPIV(min(m,n)),stat=ialloc)
!
! A = xmatin !Don't input array xmatin
!
! call DGETRF( M, N, A, LDA, IPIV, INFO )
!
! if(info < 0) then
!! write (6,*)"DGETRF, illegal value at = ",-info,". No inverse"
! xmatout = 0.
!
! else if(info > 0) then
!! write (6,*)"DGETRF, U(i,i) zero at i = ",info,". No inverse"
! xmatout = 0.
!
! else
! call DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO )
!
! do i=1,m; do j=1,m; if (abs(A(i,j))<= zero) A(i,j) = 0.
! end do; end do
! xmatout = A
!
! end if
!
! deallocate(A,IPIV)
! return
! end subroutine
C ****************************************************
C * INVERSE OF A MATRIX WITHOUT LAPACK *
C ****************************************************
subroutine nolapinverse(a,c,n)
!============================================================
! Inverse matrix
! Method: Based on Doolittle LU factorization for Ax=b
! Alex G. December 2009
!-----------------------------------------------------------
! input ...
! a(n,n) - array of coefficients for matrix A
! n - dimension
! output ...
! c(n,n) - inverse matrix of A
! comments ...
! the original matrix a(n,n) will be destroyed
! during the calculation
!===========================================================
implicit none
integer,intent(in) :: n
real*8 :: a(n,n)
real*8,intent(out) :: c(n,n)
real*8 :: L(n,n), U(n,n), b(n), d(n), x(n)
real*8 :: coeff
integer :: i, j, k
! step 0: initialization for matrices L and U and b
! Fortran 90/95 aloows such operations on matrices
L=0.0
U=0.0
b=0.0
! step 1: forward elimination
do k=1,n-1
do i=k+1,n
coeff=a(i,k)/a(k,k)
L(i,k) = coeff
do j=k+1,n
a(i,j) = a(i,j)-coeff*a(k,j)
end do
end do
end do
! Step 2: prepare L and U matrices
! L matrix is a matrix of the elimination coefficient
! + the diagonal elements are 1.0
do i=1,n
L(i,i) = 1.0
end do
! U matrix is the upper triangular part of A
do j=1,n
do i=1,j
U(i,j) = a(i,j)
end do
end do
! Step 3: compute columns of the inverse matrix C
do k=1,n
b(k)=1.0
d(1) = b(1)
! Step 3a: Solve Ld=b using the forward substitution
do i=2,n
d(i)=b(i)
do j=1,i-1
d(i) = d(i) - L(i,j)*d(j)
end do
end do
! Step 3b: Solve Ux=d using the back substitution
x(n)=d(n)/U(n,n)
do i = n-1,1,-1
x(i) = d(i)
do j=n,i+1,-1
x(i)=x(i)-U(i,j)*x(j)
end do
x(i) = x(i)/u(i,i)
end do
! Step 3c: fill the solutions x(n) into column k of C
do i=1,n
c(i,k) = x(i)
end do
b(k)=0.0
end do
end subroutine nolapinverse
C *************************************************
C * SUBROUTINE MATRIX SQURAE ROOT *
C *************************************************
SUBROUTINE KMSQRT(a,b)
INCLUDE 'ABA_PARAM.INC'
PARAMETER (n=3,nx=3)
DIMENSION a(n,n),diag(n,n),q(n,n),d(n),b(n,n),
+ qtrans(n,n),result(n,n)
diag=0.; b=0.; q=0.;result=0.;d=0.
call Kjacobi(a,n,d,q)
call Keigsrt(d,q,n)
C
do i=1,n
if (d(i) .ge. 0) then
diag(i,i)=sqrt(d(i))
else
write (6,*) 'the matrix is not positive definite'
end if
end do
result = matmul(q,diag)
b = matmul(result,transpose(q))
return
end
C
C
C *************************************************
C * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS*
C *************************************************
C
SUBROUTINE KJACOBI(a,n,d,v)
INCLUDE 'ABA_PARAM.INC'
PARAMETER (NMAX=500)
DIMENSION a(n,n),d(n),v(n,n),b(NMAX),z(NMAX),dial(n,n)
do ip=1,n
do iq=1,n
v(ip,iq)=0.
end do
v(ip,ip)=1.
end do
C
do ip=1,n
b(ip)=a(ip,ip)
d(ip)=b(ip)
z(ip)=0.
end do
C
nrot=0
do i=1,50
sm=0.
do ip=1,n-1
do iq=ip+1,n
sm=sm+abs(a(ip,iq))
end do
end do
C
if (sm .eq. 0.) return
if (i .lt. 4) then
tresh=0.2*sm/n**2
else
tresh=0.
end if
C
do ip=1,n-1
do iq=ip+1,n
g=100.*abs(a(ip,iq))
if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip)))
+ .and. (abs(d(ip))+g .eq. abs(d(iq)))) then
a(ip,iq)=0.
else if (abs(a(ip,iq)) .gt. tresh) then
h=d(iq)-d(ip)
if (abs(h)+g .eq. abs(h)) then
t=a(ip,iq)/h
else
theta=0.5*h/a(ip,iq)
t=1./(abs(theta)+sqrt(1.+theta**2))
if (theta .lt. 0) t=-t
end if
c=1./sqrt(1+t**2)
s=t*c
ta=s/(1.+c)
h=t*a(ip,iq)
z(ip)=z(ip)-h
z(iq)=z(iq)+h
d(ip)=d(ip)-h
d(iq)=d(iq)+h
a(ip,iq)=0.
C
do j=1,ip-1
g=a(j,ip)
h=a(j,iq)
a(j,ip)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
C
do j=ip+1,iq-1
g=a(ip,j)
h=a(j,iq)
a(ip,j)=g-s*(h+g*ta)
a(j,iq)=h+s*(g-h*ta)
end do
C
do j=iq+1,n
g=a(ip,j)
h=a(iq,j)
a(ip,j)=g-s*(h+g*ta)
a(iq,j)=h+s*(g-h*ta)
end do
C
do j=1,n
g=v(j,ip)
h=v(j,iq)
v(j,ip)=g-s*(h+g*ta)
v(j,iq)=h+s*(g-h*ta)
end do
C
nrot=nrot+1
end if
end do
end do
C
do ip=1,n
b(ip)=b(ip)+z(ip)
d(ip)=b(ip)
z(ip)=0.
end do
end do
C
C
return
C
END
C *************************************************
C * SUBROUTINE SORT EIGENVALUES *
C *************************************************
SUBROUTINE kEIGSRT(D,V,N)
INCLUDE 'ABA_PARAM.INC'
DIMENSION D(N),V(N,N)
DO I=1,N-1
K=I
P=D(I)
DO J=I+1,N
IF(D(J).GE.P)THEN
K=J
P=D(J)
ENDIF
END DO
IF(K.NE.I)THEN
D(K)=D(I)
D(I)=P
DO J=1,N
P=V(J,I)
V(J,I)=V(J,K)
V(J,K)=P
END DO
ENDIF
END DO
RETURN
END
C *************************************************
C * THE DETERMINANT OF A 3X3 MATRIX *
C *************************************************
SUBROUTINE KDETER(DMIN,D)
INCLUDE 'ABA_PARAM.INC'
PARAMETER(M=3,N=3)
DIMENSION DMIN(M,N)
D=0.
D=DMIN(1,1)*DMIN(2,2)*DMIN(3,3)+DMIN(1,2)*
+ DMIN(2,3)*DMIN(3,1)+DMIN(2,1)*DMIN(3,2)*
+ DMIN(1,3)-DMIN(1,3)*DMIN(2,2)*DMIN(3,1)-
+ DMIN(1,1)*DMIN(2,3)*DMIN(3,2)-DMIN(1,2)*
+ DMIN(2,1)*DMIN(3,3)
RETURN
END
C *************************************************
C * Build 4th order rotation matrix (tsigma) *
C *************************************************
subroutine rotord4sig(xrot,tSigma)
real*8, intent(in) :: xrot(3,3)
real*8, intent(out) :: tSigma(6,6)
tSigma(1,1) = xRot(1,1)*xRot(1,1)
tSigma(1,2) = xRot(1,2)*xRot(1,2)
tSigma(1,3) = xRot(1,3)*xRot(1,3)
tSigma(1,4) = 2.0*xRot(1,1)*xRot(1,2)
tSigma(1,6) = 2.0*xRot(1,2)*xRot(1,3)
tSigma(1,5) = 2.0*xRot(1,3)*xRot(1,1)
tSigma(2,1) = xRot(2,1)*xRot(2,1)
tSigma(2,2) = xRot(2,2)*xRot(2,2)
tSigma(2,3) = xRot(2,3)*xRot(2,3)
tSigma(2,4) = 2.0*xRot(2,1)*xRot(2,2)
tSigma(2,6) = 2.0*xRot(2,2)*xRot(2,3)
tSigma(2,5) = 2.0*xRot(2,3)*xRot(2,1)
tSigma(3,1) = xRot(3,1)*xRot(3,1)
tSigma(3,2) = xRot(3,2)*xRot(3,2)
tSigma(3,3) = xRot(3,3)*xRot(3,3)
tSigma(3,4) = 2.0*xRot(3,1)*xRot(3,2)
tSigma(3,6) = 2.0*xRot(3,2)*xRot(3,3)
tSigma(3,5) = 2.0*xRot(3,3)*xRot(3,1)
tSigma(4,1) = xRot(1,1)*xRot(2,1)
tSigma(4,2) = xRot(1,2)*xRot(2,2)
tSigma(4,3) = xRot(1,3)*xRot(2,3)
tSigma(4,4) = xRot(1,1)*xRot(2,2) + xRot(1,2)*xRot(2,1)
tSigma(4,6) = xRot(1,2)*xRot(2,3) + xRot(2,2)*xRot(1,3)
tSigma(4,5) = xRot(1,3)*xRot(2,1) + xRot(2,3)*xRot(1,1)
tSigma(6,1) = xRot(2,1)*xRot(3,1)
tSigma(6,2) = xRot(2,2)*xRot(3,2)
tSigma(6,3) = xRot(2,3)*xRot(3,3)
tSigma(6,4) = xRot(2,1)*xRot(3,2) + xRot(3,1)*xRot(2,2)
tSigma(6,6) = xRot(2,2)*xRot(3,3) + xRot(2,3)*xRot(3,2)
tSigma(6,5) = xRot(2,3)*xRot(3,1) + xRot(3,3)*xRot(2,1)
tSigma(5,1) = xRot(3,1)*xRot(1,1)
tSigma(5,2) = xRot(3,2)*xRot(1,2)
tSigma(5,3) = xRot(3,3)*xRot(1,3)
tSigma(5,4) = xRot(3,1)*xRot(1,2) + xRot(1,1)*xRot(3,2)
tSigma(5,6) = xRot(3,2)*xRot(1,3) + xRot(1,2)*xRot(3,3)
tSigma(5,5) = xRot(3,3)*xRot(1,1) + xRot(3,1)*xRot(1,3)
return
end subroutine
C *************************************************
C * Build 4th order rotation matrix (tstran) *
C *************************************************
subroutine rotord4str(xrot,tStran)
real*8, intent(in) :: xrot(3,3)
real*8, intent(out) :: tStran(6,6)
tStran(1,1) = xRot(1,1)*xRot(1,1)
tStran(1,2) = xRot(1,2)*xRot(1,2)
tStran(1,3) = xRot(1,3)*xRot(1,3)
tStran(1,4) = xRot(1,1)*xRot(1,2)
tStran(1,6) = xRot(1,2)*xRot(1,3)
tStran(1,5) = xRot(1,3)*xRot(1,1)
tStran(2,1) = xRot(2,1)*xRot(2,1)
tStran(2,2) = xRot(2,2)*xRot(2,2)
tStran(2,3) = xRot(2,3)*xRot(2,3)
tStran(2,4) = xRot(2,1)*xRot(2,2)
tStran(2,6) = xRot(2,2)*xRot(2,3)
tStran(2,5) = xRot(2,3)*xRot(2,1)
tStran(3,1) = xRot(3,1)*xRot(3,1)
tStran(3,2) = xRot(3,2)*xRot(3,2)
tStran(3,3) = xRot(3,3)*xRot(3,3)
tStran(3,4) = xRot(3,1)*xRot(3,2)
tStran(3,6) = xRot(3,2)*xRot(3,3)
tStran(3,5) = xRot(3,3)*xRot(3,1)
tStran(4,1) = 2.0*xRot(1,1)*xRot(2,1)
tStran(4,2) = 2.0*xRot(1,2)*xRot(2,2)
tStran(4,3) = 2.0*xRot(1,3)*xRot(2,3)
tStran(4,4) = xRot(1,1)*xRot(2,2) + xRot(1,2)*xRot(2,1)
tStran(4,6) = xRot(1,2)*xRot(2,3) + xRot(2,2)*xRot(1,3)
tStran(4,5) = xRot(1,3)*xRot(2,1) + xRot(2,3)*xRot(1,1)
tStran(6,1) = 2.0*xRot(2,1)*xRot(3,1)
tStran(6,2) = 2.0*xRot(2,2)*xRot(3,2)
tStran(6,3) = 2.0*xRot(2,3)*xRot(3,3)
tStran(6,4) = xRot(2,1)*xRot(3,2) + xRot(3,1)*xRot(2,2)
tStran(6,6) = xRot(2,2)*xRot(3,3) + xRot(2,3)*xRot(3,2)
tStran(6,5) = xRot(2,3)*xRot(3,1) + xRot(3,3)*xRot(2,1)
tStran(5,1) = 2.0*xRot(3,1)*xRot(1,1)
tStran(5,2) = 2.0*xRot(3,2)*xRot(1,2)
tStran(5,3) = 2.0*xRot(3,3)*xRot(1,3)
tStran(5,4) = xRot(3,1)*xRot(1,2) + xRot(1,1)*xRot(3,2)
tStran(5,6) = xRot(3,2)*xRot(1,3) + xRot(1,2)*xRot(3,3)
tStran(5,5) = xRot(3,3)*xRot(1,1) + xRot(3,1)*xRot(1,3)
return
end subroutine
C *************************************************************
C * Build 4th order lower (and upper) tensor product *
C * NB: When contracted from 4th to the format used for *
C * C-matrix, it turns out that the upper and lower products *
C * are the same! *
C *************************************************************
subroutine ltprod(A,B,C)
real*8, intent(in) :: A(3,3),B(3,3)
real*8, intent(out) :: C(6,6)
C = 0.
C(1,1) = 2*A(1,1)*B(1,1)
C(1,2) = 2*A(1,2)*B(1,2)
C(1,3) = 2*A(1,3)*B(1,3)
C(1,4) = A(1,1)*B(1,2)+A(1,2)*B(1,1)
C(1,5) = A(1,1)*B(1,3)+A(1,3)*B(1,1)
C(1,6) = A(1,2)*B(1,3)+A(1,3)*B(1,2)
C(2,2) = 2*A(2,2)*B(2,2)
C(2,3) = 2*A(2,3)*B(2,3)
C(2,4) = A(2,1)*B(2,2)+A(2,2)*B(2,1)
C(2,5) = A(2,1)*B(2,3)+A(2,3)*B(2,1)
C(2,6) = A(2,2)*B(2,3)+A(2,3)*B(2,2)
C(3,3) = 2*A(3,3)*B(3,3)
C(3,4) = A(3,1)*B(3,2)+A(3,2)*B(3,1)
C(3,5) = A(3,1)*B(3,3)+A(3,3)*B(3,1)
C(3,6) = A(3,2)*B(3,3)+A(3,3)*B(3,2)
C(4,4) = A(1,1)*B(2,2)+A(1,2)*B(2,1)
C(4,5) = A(1,1)*B(2,3)+A(1,3)*B(2,1)
C(4,6) = A(1,2)*B(2,3)+A(1,3)*B(2,2)
C(5,5) = A(1,1)*B(3,3)+A(1,3)*B(3,1)
C(5,6) = A(1,2)*B(3,3)+A(1,3)*B(3,2)
C(6,6) = A(2,2)*B(3,3)+A(2,3)*B(3,2)
do i=2,6
do j=1,i-1
C(i,j)=C(j,i)
end do
end do
C = 0.5*C
return
end subroutine
C **************************************************
C * Build 4th order tensor product (kronecker)*
C **************************************************
subroutine tprod(A,B,C)
real*8, intent(in) :: A(3,3),B(3,3)
real*8, intent(out) :: C(6,6)
C = 0.
C(1,1) = 2*A(1,1)*B(1,1)
C(1,2) = 2*A(1,1)*B(2,2)
C(1,3) = 2*A(1,1)*B(3,3)
C(1,4) = A(1,1)*B(1,2)+A(1,1)*B(2,1)
C(1,5) = A(1,1)*B(1,3)+A(1,1)*B(3,1)
C(1,6) = A(1,1)*B(2,3)+A(1,1)*B(3,2)
C(2,2) = 2*A(2,2)*B(2,2)
C(2,3) = 2*A(2,2)*B(3,3)
C(2,4) = A(2,2)*B(1,2)+A(2,2)*B(2,1)
C(2,5) = A(2,2)*B(1,3)+A(2,2)*B(3,1)
C(2,6) = A(2,2)*B(2,3)+A(2,2)*B(3,2)
C(3,3) = 2*A(3,3)*B(3,3)
C(3,4) = A(3,3)*B(1,2)+A(3,3)*B(2,1)
C(3,5) = A(3,3)*B(1,3)+A(3,3)*B(3,1)
C(3,6) = A(3,3)*B(2,3)+A(3,3)*B(3,2)
C(4,4) = A(1,2)*B(1,2)+A(1,2)*B(2,1)
C(4,5) = A(1,2)*B(1,3)+A(1,2)*B(3,1)
C(4,6) = A(1,2)*B(2,3)+A(1,2)*B(3,2)
C(5,5) = A(1,3)*B(1,3)+A(1,3)*B(3,1)
C(5,6) = A(1,3)*B(2,3)+A(1,3)*B(3,2)
C(6,6) = A(2,3)*B(2,3)+A(2,3)*B(3,2)
do i=2,6
do j=1,i-1
C(i,j)=C(j,i)
end do
end do
C = 0.5*C
return
end subroutine
**
**
**************************************
** MULTIPLY MATRIX 1 *
**************************************
*USER SUBROUTINE
SUBROUTINE KMLT(DM1,DM2,DM)
C
INCLUDE 'ABA_PARAM.INC'
C
PARAMETER (M=3,N=3)
DIMENSION DM1(M,N),DM2(M,N),DM(M,N)
C
DO 10 I=1,M
DO 10 J=1,N
X=0.0
DO 20 K=1,M
X=X+DM1(I,K)*DM2(K,J)
20 CONTINUE
DM(I,J)=X
10 CONTINUE
RETURN
END
================================================
FILE: old version/xDir0ET.f
================================================
! 3 basal
ddir(1,:) = (/-0.5000, 0.8660, 0.0000/)
ddir(2,:) = (/1.0000, 0.0000, 0.0000/)
ddir(3,:) = (/-0.5000, -0.8660, 0.0000/)
! 3 prismatic
ddir(4,:) = (/-0.5000, 0.8660, 0.0000/)
ddir(5,:) = (/1.0000, 0.0000, 0.0000/)
ddir(6,:) = (/-0.5000, -0.8660, 0.0000/)
! 6 slip direc for 1st order pyramidal planes
! ddir(7,:) = (/ -0.5000, 0.8660, 0./)
!ddir(8,:) = (/-0.5000, 0.8660, 0./)
!ddir(9,:) = (/1.0000, 0., 0./)
!ddir(10,:) = (/1.0000, 0., 0./)
!ddir(11,:) = (/-0.5000, -0.8660, 0./)
!ddir(12,:) = (/-0.5000, -0.8660, 0./)
! 6 slip directions for 2nd order pyramidal slip planes
ddir(7,:) = (/-0.3536, 0.6124, 0.7071/)
ddir(8,:) = (/-0.3536, 0.6124, -0.7071/)
ddir(9,:) = (/ 0.7071, 0.0000, 0.7071/)
ddir(10,:) =(/ 0.7071, 0.0000, -0.7071/)
ddir(11,:) =(/-0.3536,-0.6124, 0.7071/)
ddir(12,:) =(/-0.3536,-0.6124, -0.7071/)
================================================
FILE: old version/xDir1.f
================================================
ddir(1,:) = (/-0.57735027,0.57735027,0.57735027/)
ddir(2,:) = (/0.57735027,-0.57735027,0.57735027/)
ddir(3,:) = (/0.57735027,0.57735027,0.57735027/)
ddir(4,:) = (/0.57735027,-0.57735027,0.57735027/)
ddir(5,:) = (/0.57735027,0.57735027,0.57735027/)
ddir(6,:) = (/0.57735027,0.57735027,-0.57735027/)
ddir(7,:) = (/0.57735027,0.57735027,0.57735027/)
ddir(8,:) = (/-0.57735027,0.57735027,0.57735027/)
ddir(9,:) = (/0.57735027,-0.57735027,0.57735027/)
ddir(10,:) = (/0.57735027,0.57735027,-0.57735027/)
ddir(11,:) = (/-0.57735027,0.57735027,0.57735027/)
ddir(12,:) = (/0.57735027,0.57735027,-0.57735027/)
!ddir(13,:) = (/0.57735027,0.57735027,-0.57735027/)
!ddir(14,:) = (/0.57735027,-0.57735027,0.57735027/)
!ddir(15,:) = (/-0.57735027,0.57735027,0.57735027/)
!ddir(16,:) = (/0.57735027,0.57735027,0.57735027/)
!ddir(17,:) = (/0.57735027,-0.57735027,0.57735027/)
!ddir(18,:) = (/0.57735027,0.57735027,-0.57735027/)
!ddir(19,:) = (/0.57735027,0.57735027,0.57735027/)
!ddir(20,:) = (/-0.57735027,0.57735027,0.57735027/)
!ddir(21,:) = (/-0.57735027,0.57735027,0.57735027/)
!ddir(22,:) = (/0.57735027,0.57735027,0.57735027/)
!ddir(23,:) = (/0.57735027,0.57735027,-0.57735027/)
!ddir(24,:) = (/0.57735027,-0.57735027,0.57735027/)
================================================
FILE: old version/xDir2.f
================================================
ddir(1,:) = (/0.70710678,-0.70710678,0.00000000/)
ddir(2,:) = (/0.00000000,0.70710678,-0.70710678/)
ddir(3,:) = (/0.70710678,0.00000000,-0.70710678/)
ddir(4,:) = (/0.70710678,0.70710678,0.00000000/)
ddir(5,:) = (/0.00000000,0.70710678,-0.70710678/)
ddir(6,:) = (/0.70710678,0.00000000,0.70710678/)
ddir(7,:) = (/0.70710678,0.70710678,0.00000000/)
ddir(8,:) = (/0.00000000,0.70710678,0.70710678/)
ddir(9,:) = (/0.70710678,0.00000000,-0.70710678/)
ddir(10,:) = (/0.70710678,-0.70710678,0.00000000/)
ddir(11,:) = (/0.00000000,0.70710678,0.70710678/)
ddir(12,:) = (/0.70710678,0.00000000,0.70710678/)
================================================
FILE: old version/xDir2c.f
================================================
ddir(1,:) = (/0.70710678,-0.70710678,0.00000000/)
ddir(2,:) = (/0.00000000,0.70710678,-0.70710678/)
ddir(3,:) = (/0.70710678,0.00000000,-0.70710678/)
ddir(4,:) = (/0.70710678,0.70710678,0.00000000/)
ddir(5,:) = (/0.00000000,0.70710678,-0.70710678/)
ddir(6,:) = (/0.70710678,0.00000000,0.70710678/)
ddir(7,:) = (/0.70710678,0.70710678,0.00000000/)
ddir(8,:) = (/0.00000000,0.70710678,0.70710678/)
ddir(9,:) = (/0.70710678,0.00000000,-0.70710678/)
ddir(10,:) = (/0.70710678,-0.70710678,0.00000000/)
ddir(11,:) = (/0.00000000,0.70710678,0.70710678/)
ddir(12,:) = (/0.70710678,0.00000000,0.70710678/)
ddir(13,:) = (/0.00000000,0.70710678,0.70710678/)
ddir(14,:) = (/0.00000000,0.70710678,-0.70710678/)
ddir(15,:) = (/0.70710678,0.00000000,0.70710678/)
ddir(16,:) = (/0.70710678,0.00000000,-0.70710678/)
ddir(17,:) = (/0.70710678,0.70710678,0.000000000/)
ddir(18,:) = (/0.70710678,-0.70710678,0.000000000/)
================================================
FILE: old version/xDir4.f
================================================
ddir(1,:) = (/1.0,0.0,0.0/)
ddir(2,:) = (/1.0,0.0,0.0/)
ddir(3,:) = (/0.0,0.0,1.0/)
ddir(4,:) = (/0.0,0.0,1.0/)
ddir(5,:) = (/1.0,0.0,0.0/)
ddir(6,:) = (/1.0,0.0,0.0/)
ddir(7,:) = (/0.0,0.0,1.0/)
================================================
FILE: old version/xDirAlphaUranium.f
================================================
! slip directions of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
ddir(1,:) = (/1.0,0.0,0.0/)
ddir(2,:) = (/1.0,0.0,0.0/)
ddir(3,:) = (/0.43731,-0.89931,0.0/) ! [1-10](110) -> [a,-b,0](b,a,0)
ddir(4,:) = (/0.43731,0.89931,0.0/) ! [110](1-10) -> [a,b,0](b,-a,0)
ddir(5,:) = (/0.24074,-0.49507,0.83483/) ! [1-12](021) -> [a,-b,2c](0,c,b/2)
ddir(6,:) = (/-0.24074,-0.49507,0.83483/) ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
ddir(7,:) = (/0.24074,0.49507,0.83483/) ! [112](0-21) -> [a,b,2c](0,c,-b/2)
ddir(8,:) = (/0.24074,-0.49507,-0.83483/) ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
================================================
FILE: old version/xNorm0ET.f
================================================
! basal plane for 3 slip
dnor(1,:) = (/0.0000,0.0000,1.0000/)
dnor(2,:) = (/0.0000,0.0000,1.0000/)
dnor(3,:) = (/0.0000,0.0000,1.0000/)
!prismatic planes for 3 slip
dnor(4,:) = (/-0.8660, -0.5000, 0.0000/)
dnor(5,:) = (/ 0.0000, -1.0000, 0.0000/)
dnor(6,:) = (/ 0.8660, -0.5000, 0.0000/)
! 6 1st order pyramidal slip planes for slip
! dnor(7,:) = (/-0.7500, -0.4330, 0.5000/)
!dnor(8,:) = (/ 0.7500, 0.4330, 0.5000/)
!dnor(9,:) = (/ 0., 0.8660, 0.5000/)
!dnor(10,:) = (/ 0., -0.8660, 0.5000/)
!dnor(11,:) = (/0.7500, -0.4330, 0.5000/)
!dnor(12,:) = (/-0.7500, 0.4330, 0.5000/)
! 6 2nd order pyramidalslip planes for slip
dnor(7,:) = (/ 0.3536, -0.6124, 0.7071/)
dnor(8,:) = (/-0.3536, 0.6124, 0.7071/)
dnor(9,:) = (/-0.7071, 0.0000, 0.7071/)
dnor(10,:) =(/ 0.7071, 0.0000, 0.7071/)
dnor(11,:) =(/ 0.3536, 0.6124, 0.7071/)
dnor(12,:) =(/-0.3536, -0.6124, 0.7071/)
================================================
FILE: old version/xNorm1.f
================================================
dnor(1,:) = (/0.70710678,0.70710678,0.00000000/)
dnor(2,:) = (/0.70710678,0.70710678,0.00000000/)
dnor(3,:) = (/-0.70710678,0.00000000,0.70710678/)
dnor(4,:) = (/-0.70710678,0.00000000,0.70710678/)
dnor(5,:) = (/-0.70710678,0.70710678,0.00000000/)
dnor(6,:) = (/-0.70710678,0.70710678,0.00000000/)
dnor(7,:) = (/0.00000000,0.70710678,-0.70710678/)
dnor(8,:) = (/0.00000000,0.70710678,-0.70710678/)
dnor(9,:) = (/0.00000000,0.70710678,0.70710678/)
dnor(10,:) = (/0.00000000,0.70710678,0.70710678/)
dnor(11,:) = (/0.70710678,0.00000000,0.70710678/)
dnor(12,:) = (/0.70710678,0.00000000,0.70710678/)
!dnor(13,:) = (/0.40824829,0.40824829,0.81649658/)
!dnor(14,:) = (/-0.40824829,0.40824829,0.81649658/)
!dnor(15,:) = (/0.40824829,-0.40824829,0.81649658/)
!dnor(16,:) = (/0.40824829,0.40824829,-0.81649658/)
!dnor(17,:) = (/0.40824829,0.81649658,0.40824829/)
!dnor(18,:) = (/-0.40824829,0.81649658,0.40824829/)
!dnor(19,:) = (/0.40824829,-0.81649658,0.40824829/)
!dnor(20,:) = (/0.40824829,0.81649658,-0.40824829/)
!dnor(21,:) = (/0.81649658,0.40824829,0.40824829/)
!dnor(22,:) = (/-0.81649658,0.40824829,0.40824829/)
!dnor(23,:) = (/0.81649658,-0.40824829,0.40824829/)
!dnor(24,:) = (/0.81649658,0.40824829,-0.40824829/)
================================================
FILE: old version/xNorm2.f
================================================
dnor(1,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(2,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(3,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(4,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(5,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(6,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(7,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(8,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(9,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(10,:) = (/0.57735027,0.57735027,-0.57735027/)
dnor(11,:) = (/0.57735027,0.57735027,-0.57735027/)
dnor(12,:) = (/0.57735027,0.57735027,-0.57735027/)
================================================
FILE: old version/xNorm2c.f
================================================
dnor(1,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(2,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(3,:) = (/0.57735027,0.57735027,0.57735027/)
dnor(4,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(5,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(6,:) = (/-0.57735027,0.57735027,0.57735027/)
dnor(7,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(8,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(9,:) = (/0.57735027,-0.57735027,0.57735027/)
dnor(10,:) = (/0.57735027,0.57735027,-0.57735027/)
dnor(11,:) = (/0.57735027,0.57735027,-0.57735027/)
dnor(12,:) = (/0.57735027,0.57735027,-0.57735027/)
dnor(13,:) = (/1.00000000,0.00000000,0.00000000/)
dnor(14,:) = (/1.00000000,0.00000000,0.00000000/)
dnor(15,:) = (/0.00000000,1.00000000,0.00000000/)
dnor(16,:) = (/0.00000000,1.00000000,0.00000000/)
dnor(17,:) = (/0.00000000,0.00000000,1.00000000/)
dnor(18,:) = (/0.00000000,0.00000000,1.00000000/)
================================================
FILE: old version/xNorm4.f
================================================
dnor(1,:) = (/0.0,1.0,0.0/)
dnor(2,:) = (/0.0,0.0,1.0/)
dnor(3,:) = (/1.0,0.0,0.0/)
dnor(4,:) = (/0.0,1.0,0.0/)
dnor(5,:) = (/0.0,0.7071,0.7071/)
dnor(6,:) = (/0.0,0.9487,0.3162/)
dnor(7,:) = (/0.7071,0.7071,0.0/)
================================================
FILE: old version/xNormAlphaUranium.f
================================================
! slip plane normals of alpha-Uranium
! see McCabe, Tome et al 2010 (Figure 2)
dnor(1,:) = (/0.0,1.0,0.0/)
dnor(2,:) = (/0.0,0.0,1.0/)
dnor(3,:) = (/0.89931,0.43731,0.0/) ! [1-10](110) -> [a,-b,0](b,a,0)
dnor(4,:) = (/0.89931,-0.43731,0.0/) ! [110](1-10) -> [a,b,0](b,-a,0)
dnor(5,:) = (/0.0,0.86013,0.51008/) ! [1-12](021) -> [a,-b,2c](0,c,b/2)
dnor(6,:) = (/0.0,0.86013,0.51008/) ! [-1-12](021) -> [-a,-b,2c](0,c,b/2)
dnor(7,:) = (/0.0,0.86013,-0.51008/) ! [112](0-21) -> [a,b,2c](0,c,-b/2)
dnor(8,:) = (/0.0,0.86013,-0.51008/) ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2)
================================================
FILE: old version/xTwinDirAlphaUranium.f
================================================
! twin directions (eta_1) of alpha-Uranium
! see Zhou, Xiao, Wang et al. 2016 (Table 2)
dtwindir(1,:) = (/0.82482,-0.56540,0.0/) ! eta_1 = [3-10] -> [3a,-b,0], K_1 = (130) -> normal is [b,3a,0]
dtwindir(2,:) = (/-0.82482,-0.56540,0.0/) ! eta_1 = [-3-10] -> [-3a,-b,0], K_1 = (-130) -> normal is [-b,3a,0]
================================================
FILE: old version/xTwinNormAlphaUranium.f
================================================
! twin normals (K_1) of alpha-Uranium
! see Zhou, Xiao, Wang et al. 2016 (Table 2)
dtwinnor(1,:) = (/0.56540,0.82482,0.0/) ! eta_1 = [3-10] -> [3a,-b,0], K_1 = (130) -> normal is [b,3a,0]
dtwinnor(2,:) = (/-0.56540,0.82482,0.0/) ! eta_1 = [-3-10] -> [-3a,-b,0], K_1 = (-130) -> normal is [-b,3a,0]